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stringlengths 118
4.1k
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stringlengths 111
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240
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stringlengths 14
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5,671 |
['Given that dilation occurs in all abortions and it is done by two methods, it can be inferred that equator isa location.', 'On the condition that disabilities are often invisible, it is definitely the case that if some people mistakenly believe that if dilation occurs in all abortions and it is done by two methods, then it is not the case that equator isa location, then speed is also a factor in tyre noise generation.', 'Provided that most plants grow in moist areas, we know that if some people mistakenly believe that if dilation occurs in all abortions and it is done by two methods, then it is not the case that equator isa location, then speed is also a factor in tyre noise generation.', 'Given that those that suggest if some people mistakenly believe that if dilation occurs in all abortions and it is done by two methods, then it is not the case that equator isa location, then the claim that speed is also a factor in tyre noise generation has no merit are wrong, it can be inferred that either nerve compression is a neurological disease or thermometers use a temperature scale to record how hot or cold something is.', "It is rational to believe that either either membranes have a variety of uses or endorphins are the body's own natural defenses against pain or if customers make inform decisions, then diggers have (part) necks.", "Should it be the case that either membranes have a variety of uses or endorphins are the body's own natural defenses against pain, it follows that disabilities are often invisible.", 'Once we know if customers make inform decisions, then diggers have (part) necks, we also know that most plants grow in moist areas.', 'Either one or both of these statements are true: light is made up of all the colours of the rainbow, or if studies indicate that alcohol consumption increases the toxicity of benzene, then children are physiologically different from adults and face different health risks.', 'When light is made up of all the colours of the rainbow is true, it follows that if those that suggest if some people mistakenly believe that if dilation occurs in all abortions and it is done by two methods, then it is not the case that equator isa location, then the claim that speed is also a factor in tyre noise generation has no merit are wrong, then the statement that states either nerve compression is a neurological disease or thermometers use a temperature scale to record how hot or cold something is is false.', 'Should it be the case that if studies indicate that alcohol consumption increases the toxicity of benzene, then children are physiologically different from adults and face different health risks, it follows that if those that suggest if some people mistakenly believe that if dilation occurs in all abortions and it is done by two methods, then it is not the case that equator isa location, then the claim that speed is also a factor in tyre noise generation has no merit are wrong, then the statement that states either nerve compression is a neurological disease or thermometers use a temperature scale to record how hot or cold something is is false.']
|
Given that dilation occurs in all abortions and it is done by two methods, it can be inferred that equator isa location. On the condition that disabilities are often invisible, it is definitely the case that if some people mistakenly believe that if dilation occurs in all abortions and it is done by two methods, then it is not the case that equator isa location, then speed is also a factor in tyre noise generation. Provided that most plants grow in moist areas, we know that if some people mistakenly believe that if dilation occurs in all abortions and it is done by two methods, then it is not the case that equator isa location, then speed is also a factor in tyre noise generation. Given that those that suggest if some people mistakenly believe that if dilation occurs in all abortions and it is done by two methods, then it is not the case that equator isa location, then the claim that speed is also a factor in tyre noise generation has no merit are wrong, it can be inferred that either nerve compression is a neurological disease or thermometers use a temperature scale to record how hot or cold something is. It is rational to believe that either either membranes have a variety of uses or endorphins are the body's own natural defenses against pain or if customers make inform decisions, then diggers have (part) necks. Should it be the case that either membranes have a variety of uses or endorphins are the body's own natural defenses against pain, it follows that disabilities are often invisible. Once we know if customers make inform decisions, then diggers have (part) necks, we also know that most plants grow in moist areas. Either one or both of these statements are true: light is made up of all the colours of the rainbow, or if studies indicate that alcohol consumption increases the toxicity of benzene, then children are physiologically different from adults and face different health risks. When light is made up of all the colours of the rainbow is true, it follows that if those that suggest if some people mistakenly believe that if dilation occurs in all abortions and it is done by two methods, then it is not the case that equator isa location, then the claim that speed is also a factor in tyre noise generation has no merit are wrong, then the statement that states either nerve compression is a neurological disease or thermometers use a temperature scale to record how hot or cold something is is false. Should it be the case that if studies indicate that alcohol consumption increases the toxicity of benzene, then children are physiologically different from adults and face different health risks, it follows that if those that suggest if some people mistakenly believe that if dilation occurs in all abortions and it is done by two methods, then it is not the case that equator isa location, then the claim that speed is also a factor in tyre noise generation has no merit are wrong, then the statement that states either nerve compression is a neurological disease or thermometers use a temperature scale to record how hot or cold something is is false.
|
The claim that dilation occurs in all abortions and it is done by two methods has no merit.
|
The claim that dilation occurs in all abortions and it is done by two methods is true.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Not [1].).).), then [2]. [SC1-2]
If (Not (If [0], then (Not [1].).).), then (Not [2].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (If (Not (If [0], then (Not [1].).).), then [2].).
If [4], then (If (Not (If [0], then (Not [1].).).), then [2].).
Therefore, If (Not (If [0], then (Not [1].).).), then [2]..
[SC1-3]
Constructive Dilemma:
Either (Either [7] or [8].) or (If [9], then [10].).
If (Either [7] or [8].), then [3].
If (If [9], then [10].), then [4].
Therefore, Either [3] or [4]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then (Not [1].).).), then (Not [2].).).), then (Either [5] or [6].).
If (Not (If (Not (If [0], then (Not [1].).).), then (Not [2].).).), then (Not (Either [5] or [6].).). [SC2-3]
Therefore, If (Not (If [0], then (Not [1].).).), then (Not [2].)..
[SC2-3]
Disjunction Elimination:
Either [11] or (If [12], then [13].).
If [11], then (If (Not (If (Not (If [0], then (Not [1].).).), then (Not [2].).).), then (Not (Either [5] or [6].).).).
If (If [12], then [13].), then (If (Not (If (Not (If [0], then (Not [1].).).), then (Not [2].).).), then (Not (Either [5] or [6].).).).
Therefore, If (Not (If (Not (If [0], then (Not [1].).).), then (Not [2].).).), then (Not (Either [5] or [6].).)..
|
{0: 'Dilation occurs in all abortions and it is done by two methods.', 1: 'Equator isa location.', 2: 'Speed is also a factor in tyre noise generation.', 3: 'Disabilities are often invisible.', 4: 'Most plants grow in moist areas.', 5: 'Nerve compression is a neurological disease.', 6: 'Thermometers use a temperature scale to record how hot or cold something is.', 7: 'Membranes have a variety of uses.', 8: "Endorphins are the body's own natural defenses against pain.", 9: 'Customers make inform decisions.', 10: 'Diggers have (part) necks.', 11: 'Light is made up of all the colours of the rainbow.', 12: 'Studies indicate that alcohol consumption increases the toxicity of benzene.', 13: 'Children are physiologically different from adults and face different health risks.'}
| 6 |
5,109 |
['One may reasonably assume that if flavonoids suppress the formation of thrombus, cataracts and cancer causing cells, then either squirrels think of owls, foxes, oak trees, etc or squirrels live in regions.', 'Should it be the case that squirrels think of owls, foxes, oak trees, etc, it follows that organizations serve families.', 'Those that suggest organizations serve families are wrong.', "Once we know physical therapists work with the whole body to maximize strength, movement and balance, we also know that if we know that the claim that flavonoids suppress the formation of thrombus, cataracts and cancer causing cells is false, then silage is acid in nature, which adds a larger burden on the beef animal's built-in buffering system.", 'It is a simple truth that physical therapists work with the whole body to maximize strength, movement and balance.', 'Once we know we know that the claim that flavonoids suppress the formation of thrombus, cataracts and cancer causing cells is false, we also know that proper nutrition is the biggest variable in producing large healthy animals.', "If proper nutrition is the biggest variable in producing large healthy animals, then the claim that silage is acid in nature, which adds a larger burden on the beef animal's built-in buffering system is false."]
|
One may reasonably assume that if flavonoids suppress the formation of thrombus, cataracts and cancer causing cells, then either squirrels think of owls, foxes, oak trees, etc or squirrels live in regions. Should it be the case that squirrels think of owls, foxes, oak trees, etc, it follows that organizations serve families. Those that suggest organizations serve families are wrong. Once we know physical therapists work with the whole body to maximize strength, movement and balance, we also know that if we know that the claim that flavonoids suppress the formation of thrombus, cataracts and cancer causing cells is false, then silage is acid in nature, which adds a larger burden on the beef animal's built-in buffering system. It is a simple truth that physical therapists work with the whole body to maximize strength, movement and balance. Once we know we know that the claim that flavonoids suppress the formation of thrombus, cataracts and cancer causing cells is false, we also know that proper nutrition is the biggest variable in producing large healthy animals. If proper nutrition is the biggest variable in producing large healthy animals, then the claim that silage is acid in nature, which adds a larger burden on the beef animal's built-in buffering system is false.
|
The claim that squirrels live in regions holds true.
|
Squirrels need contain proteins.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (Either [1] or [0].).
[3] [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [4]. [SC1-3]
If (Not [3].), then (Not [4].). [SC2-3]
Therefore, [3].
[SC1-3]
Modus Ponens:
If [5], then (If (Not [3].), then [4].).
[5]
Therefore, If (Not [3].), then [4]..
[SC2-3]
Hypothetical Syllogism:
If (Not [3].), then [6].
If [6], then (Not [4].).
Therefore, If (Not [3].), then (Not [4].)..
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2].
Therefore, Not [1]..
|
{0: 'Squirrels live in regions.', 1: 'Squirrels think of owls, foxes, oak trees, etc.', 2: 'Organizations serve families.', 3: 'Flavonoids suppress the formation of thrombus, cataracts and cancer causing cells.', 4: "Silage is acid in nature, which adds a larger burden on the beef animal's built-in buffering system.", 5: 'Physical therapists work with the whole body to maximize strength, movement and balance.', 6: 'Proper nutrition is the biggest variable in producing large healthy animals.'}
| 6 |
5,661 |
['Once we know spring is the time when the antlers grow quickly but are still covered by velvety fur, we also know that libraries continue to develop their role as leaders in the digital information society.', 'We know that at least one of two things is true: enzymes work by reducing the activation energy of the reaction, or either vice presidents are public officials or spring is the time when the antlers grow quickly but are still covered by velvety fur.', 'We know that the claim that enzymes work by reducing the activation energy of the reaction is false.', "The notion that 'if love is the face of people, then spinach is a antioxidant powerhouse, bursting with betacarotene, vitamin C and folic acid' is untrue.", "Whenever it is true that most tapirs possess hair, 'if most ovules are fertilized by pollen, then either if love is the face of people, then spinach is a antioxidant powerhouse, bursting with betacarotene, vitamin C and folic acid or if vice presidents are public officials, then libraries continue to develop their role as leaders in the digital information society' is true.", 'It is reasonable to believe that most tapirs possess hair.', 'There is good reason to believe that either gold is found in Egypt mainly in the Eastern Desert or most ovules are fertilized by pollen.', 'We know that the claim that gold is found in Egypt mainly in the Eastern Desert is false.']
|
Once we know spring is the time when the antlers grow quickly but are still covered by velvety fur, we also know that libraries continue to develop their role as leaders in the digital information society. We know that at least one of two things is true: enzymes work by reducing the activation energy of the reaction, or either vice presidents are public officials or spring is the time when the antlers grow quickly but are still covered by velvety fur. We know that the claim that enzymes work by reducing the activation energy of the reaction is false. The notion that 'if love is the face of people, then spinach is a antioxidant powerhouse, bursting with betacarotene, vitamin C and folic acid' is untrue. Whenever it is true that most tapirs possess hair, 'if most ovules are fertilized by pollen, then either if love is the face of people, then spinach is a antioxidant powerhouse, bursting with betacarotene, vitamin C and folic acid or if vice presidents are public officials, then libraries continue to develop their role as leaders in the digital information society' is true. It is reasonable to believe that most tapirs possess hair. There is good reason to believe that either gold is found in Egypt mainly in the Eastern Desert or most ovules are fertilized by pollen. We know that the claim that gold is found in Egypt mainly in the Eastern Desert is false.
|
It is rational to agree that libraries continue to develop their role as leaders in the digital information society.
|
The statement, libraries continue to develop their role as leaders in the digital information society, does not hold.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [5] or (Either [1] or [2].).
Not [5].
Therefore, Either [1] or [2]..
[SC2-1]
Disjunctive Syllogism:
Either (If [3], then [4].) or (If [1], then [0].). [SC1-2]
Not (If [3], then [4].).
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If [6], then (Either (If [3], then [4].) or (If [1], then [0].).). [SC1-3]
[6] [SC2-3]
Therefore, Either (If [3], then [4].) or (If [1], then [0].)..
[SC1-3]
Modus Ponens:
If [8], then (If [6], then (Either (If [3], then [4].) or (If [1], then [0].).).).
[8]
Therefore, If [6], then (Either (If [3], then [4].) or (If [1], then [0].).)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or [6].
Not [7].
Therefore, [6].
|
{0: 'Libraries continue to develop their role as leaders in the digital information society.', 1: 'Vice presidents are public officials.', 2: 'Spring is the time when the antlers grow quickly but are still covered by velvety fur.', 3: 'Love is the face of people.', 4: 'Spinach is a antioxidant powerhouse, bursting with betacarotene, vitamin C and folic acid.', 5: 'Enzymes work by reducing the activation energy of the reaction.', 6: 'Most ovules are fertilized by pollen.', 7: 'Gold is found in Egypt mainly in the Eastern Desert.', 8: 'Most tapirs possess hair.'}
| 6 |
5,379 |
['Given that the claim that adventures involve men has no merit, it can be inferred that bacteria are smarter than people.', "Whenever it is true that the claim that either some sunlight leaks through the Earth's atmosphere casting a deep reddish light on the Moon or if adventures involve men, then black pepper is ubiquitous in the modern world as a seasoning and is often paired with salt is false, 'most parrots eat fruit, flowers, buds, nuts, seeds, and some small creatures such as insects' is true.", "One may reasonably assume that if the claim that either some sunlight leaks through the Earth's atmosphere casting a deep reddish light on the Moon or if adventures involve men, then black pepper is ubiquitous in the modern world as a seasoning and is often paired with salt is false, then the claim that most parrots eat fruit, flowers, buds, nuts, seeds, and some small creatures such as insects does not correspond with reality.", "One may reasonably assume that if some sunlight leaks through the Earth's atmosphere casting a deep reddish light on the Moon, then food webs are complicated by the fact that many species feed at various levels.", "Provided that some sunlight leaks through the Earth's atmosphere casting a deep reddish light on the Moon, we know that the statement 'food webs are complicated by the fact that many species feed at various levels' can be considered false.", "Should it be the case that the claim that if the claim that adventures involve men has no merit, then the statement that 'bacteria are smarter than people' is incorrect has no merit, it follows that leopard seals have heads.", 'It is a common misconception that leopard seals have heads.']
|
Given that the claim that adventures involve men has no merit, it can be inferred that bacteria are smarter than people. Whenever it is true that the claim that either some sunlight leaks through the Earth's atmosphere casting a deep reddish light on the Moon or if adventures involve men, then black pepper is ubiquitous in the modern world as a seasoning and is often paired with salt is false, 'most parrots eat fruit, flowers, buds, nuts, seeds, and some small creatures such as insects' is true. One may reasonably assume that if the claim that either some sunlight leaks through the Earth's atmosphere casting a deep reddish light on the Moon or if adventures involve men, then black pepper is ubiquitous in the modern world as a seasoning and is often paired with salt is false, then the claim that most parrots eat fruit, flowers, buds, nuts, seeds, and some small creatures such as insects does not correspond with reality. One may reasonably assume that if some sunlight leaks through the Earth's atmosphere casting a deep reddish light on the Moon, then food webs are complicated by the fact that many species feed at various levels. Provided that some sunlight leaks through the Earth's atmosphere casting a deep reddish light on the Moon, we know that the statement 'food webs are complicated by the fact that many species feed at various levels' can be considered false. Should it be the case that the claim that if the claim that adventures involve men has no merit, then the statement that 'bacteria are smarter than people' is incorrect has no merit, it follows that leopard seals have heads. It is a common misconception that leopard seals have heads.
|
We can assume that black pepper is ubiquitous in the modern world as a seasoning and is often paired with salt .
|
The statement that states black pepper is ubiquitous in the modern world as a seasoning and is often paired with salt is false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [0].). [SC1-2]
Not [3]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (If [1], then [0].).).), then [6].
If (Not (Either [3] or (If [1], then [0].).).), then (Not [6].).
Therefore, Either [3] or (If [1], then [0].)..
[SC2-2]
Reductio Ad Absurdum:
If [3], then [4].
If [3], then (Not [4].).
Therefore, Not [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2].
If (Not [1].), then (Not [2].). [SC2-2]
Therefore, [1].
[SC2-2]
Modus Tonens:
If (Not (If (Not [1].), then (Not [2].).).), then [5].
Not [5].
Therefore, If (Not [1].), then (Not [2].)..
|
{0: 'Black pepper is ubiquitous in the modern world as a seasoning and is often paired with salt .', 1: 'Adventures involve men.', 2: 'Bacteria are smarter than people.', 3: "Some sunlight leaks through the Earth's atmosphere casting a deep reddish light on the Moon.", 4: 'Food webs are complicated by the fact that many species feed at various levels.', 5: 'Leopard seals have heads.', 6: 'Most parrots eat fruit, flowers, buds, nuts, seeds, and some small creatures such as insects.'}
| 6 |
5,625 |
["Given that most lakes are open to anglers year-round and can really fire up over the winter months, it can be inferred that the statement 'hybrid technology works in small cars and in very large vehicles as well' can be considered false.", 'One may reasonably assume that if if trouts have vary diets, then most tokamaks use copper, an expensive metal that is difficult to form and weld, then if most lakes are open to anglers year-round and can really fire up over the winter months, then hybrid technology works in small cars and in very large vehicles as well.', "If the statement that 'either most turtles dig one nest in the ground, lay eggs in the the hole, and cover it with dirt or crop rotation is used to minimize pest buildup' is incorrect, then if colors are a prominent feature of the clothing worn, especially sports clothing, then pharmacology is the study of effects of chemical substances on living organisms.", "Whenever it is true that the statement that 'if either most turtles dig one nest in the ground, lay eggs in the the hole, and cover it with dirt or crop rotation is used to minimize pest buildup, then if trouts have vary diets, then most tokamaks use copper, an expensive metal that is difficult to form and weld' is incorrect, 'false beliefs can start from believing in false teachers, false religions and false gods' is true.", "So long as the statement that 'if either most turtles dig one nest in the ground, lay eggs in the the hole, and cover it with dirt or crop rotation is used to minimize pest buildup, then if trouts have vary diets, then most tokamaks use copper, an expensive metal that is difficult to form and weld' is incorrect, 'it is not the case that false beliefs can start from believing in false teachers, false religions and false gods' is true.", "Either rennet is made from the fourth stomach of calves or the notion that 'if colors are a prominent feature of the clothing worn, especially sports clothing, then pharmacology is the study of effects of chemical substances on living organisms' is untrue.", 'It is a common misconception that rennet is made from the fourth stomach of calves.']
|
Given that most lakes are open to anglers year-round and can really fire up over the winter months, it can be inferred that the statement 'hybrid technology works in small cars and in very large vehicles as well' can be considered false. One may reasonably assume that if if trouts have vary diets, then most tokamaks use copper, an expensive metal that is difficult to form and weld, then if most lakes are open to anglers year-round and can really fire up over the winter months, then hybrid technology works in small cars and in very large vehicles as well. If the statement that 'either most turtles dig one nest in the ground, lay eggs in the the hole, and cover it with dirt or crop rotation is used to minimize pest buildup' is incorrect, then if colors are a prominent feature of the clothing worn, especially sports clothing, then pharmacology is the study of effects of chemical substances on living organisms. Whenever it is true that the statement that 'if either most turtles dig one nest in the ground, lay eggs in the the hole, and cover it with dirt or crop rotation is used to minimize pest buildup, then if trouts have vary diets, then most tokamaks use copper, an expensive metal that is difficult to form and weld' is incorrect, 'false beliefs can start from believing in false teachers, false religions and false gods' is true. So long as the statement that 'if either most turtles dig one nest in the ground, lay eggs in the the hole, and cover it with dirt or crop rotation is used to minimize pest buildup, then if trouts have vary diets, then most tokamaks use copper, an expensive metal that is difficult to form and weld' is incorrect, 'it is not the case that false beliefs can start from believing in false teachers, false religions and false gods' is true. Either rennet is made from the fourth stomach of calves or the notion that 'if colors are a prominent feature of the clothing worn, especially sports clothing, then pharmacology is the study of effects of chemical substances on living organisms' is untrue. It is a common misconception that rennet is made from the fourth stomach of calves.
|
The claim that most lakes are open to anglers year-round and can really fire up over the winter months does not correspond with reality.
|
The statement 'most lakes are open to anglers year-round and can really fire up over the winter months' is true.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (Either [2] or [3].), then (If [0], then [1].). [SC1-2]
Either [2] or [3]. [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Either [2] or [3].), then (If [4], then [5].). [SC1-3]
If (If [4], then [5].), then (If [0], then [1].).
Therefore, If (Either [2] or [3].), then (If [0], then [1].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Either [2] or [3].), then (If [4], then [5].).).), then [9].
If (Not (If (Either [2] or [3].), then (If [4], then [5].).).), then (Not [9].).
Therefore, If (Either [2] or [3].), then (If [4], then [5].)..
[SC2-2]
Modus Tonens:
If (Not (Either [2] or [3].).), then (If [6], then [7].).
Not (If [6], then [7].). [SC2-3]
Therefore, Either [2] or [3]..
[SC2-3]
Disjunctive Syllogism:
Either [8] or (Not (If [6], then [7].).).
Not [8].
Therefore, Not (If [6], then [7].)..
|
{0: 'Most lakes are open to anglers year-round and can really fire up over the winter months.', 1: 'Hybrid technology works in small cars and in very large vehicles as well.', 2: 'Most turtles dig one nest in the ground, lay eggs in the the hole, and cover it with dirt.', 3: 'Crop rotation is used to minimize pest buildup.', 4: 'Trouts have vary diets.', 5: 'Most tokamaks use copper, an expensive metal that is difficult to form and weld.', 6: 'Colors are a prominent feature of the clothing worn, especially sports clothing.', 7: 'Pharmacology is the study of effects of chemical substances on living organisms.', 8: 'Rennet is made from the fourth stomach of calves.', 9: 'False beliefs can start from believing in false teachers, false religions and false gods.'}
| 6 |
5,603 |
['Assuming most melons produce fruit, we know that a cocoa bean is a tree.', 'Should it be the case that hoof animals survive in habitats, it follows that acute nephritis is severe inflammation of the kidneys.', 'Either holistic practitioners aim to restore such imbalances through natural or supernatural powers or sexual reproduction consists of two processes.', "Assuming holistic practitioners aim to restore such imbalances through natural or supernatural powers, we know that if a cocoa bean is a tree, then triggers are 'things' which trigger events.", "Provided that sexual reproduction consists of two processes, we know that if a cocoa bean is a tree, then triggers are 'things' which trigger events.", 'At least one of two things is true: torpedos are fireworks, or group theory is a particularly fertile field for the design of practical algorithms.', 'When group theory is a particularly fertile field for the design of practical algorithms is true, it follows that if acute nephritis is severe inflammation of the kidneys, then metabolic nutrients help support a high metabolic rate.', 'One may reasonably assume that if the claim that either most melons produce fruit or hoof animals survive in habitats does not reflect reality, then sweet syndrome has the potential to involve several other organ systems.', 'Provided that the claim that either most melons produce fruit or hoof animals survive in habitats does not reflect reality, we know that it is a common misconception that sweet syndrome has the potential to involve several other organ systems.', 'It is a fact that either if bighorns have (part) sterna, then health psychologists focus on the prevention of disease and maintenance of health or if torpedos are fireworks, then if acute nephritis is severe inflammation of the kidneys, then metabolic nutrients help support a high metabolic rate.', 'Those that suggest if bighorns have (part) sterna, then health psychologists focus on the prevention of disease and maintenance of health are wrong.']
|
Assuming most melons produce fruit, we know that a cocoa bean is a tree. Should it be the case that hoof animals survive in habitats, it follows that acute nephritis is severe inflammation of the kidneys. Either holistic practitioners aim to restore such imbalances through natural or supernatural powers or sexual reproduction consists of two processes. Assuming holistic practitioners aim to restore such imbalances through natural or supernatural powers, we know that if a cocoa bean is a tree, then triggers are 'things' which trigger events. Provided that sexual reproduction consists of two processes, we know that if a cocoa bean is a tree, then triggers are 'things' which trigger events. At least one of two things is true: torpedos are fireworks, or group theory is a particularly fertile field for the design of practical algorithms. When group theory is a particularly fertile field for the design of practical algorithms is true, it follows that if acute nephritis is severe inflammation of the kidneys, then metabolic nutrients help support a high metabolic rate. One may reasonably assume that if the claim that either most melons produce fruit or hoof animals survive in habitats does not reflect reality, then sweet syndrome has the potential to involve several other organ systems. Provided that the claim that either most melons produce fruit or hoof animals survive in habitats does not reflect reality, we know that it is a common misconception that sweet syndrome has the potential to involve several other organ systems. It is a fact that either if bighorns have (part) sterna, then health psychologists focus on the prevention of disease and maintenance of health or if torpedos are fireworks, then if acute nephritis is severe inflammation of the kidneys, then metabolic nutrients help support a high metabolic rate. Those that suggest if bighorns have (part) sterna, then health psychologists focus on the prevention of disease and maintenance of health are wrong.
|
We know that either triggers are 'things' which trigger events or metabolic nutrients help support a high metabolic rate.
|
We know that either triggers are 'things' which trigger events or metabolic nutrients help support a high metabolic rate.
|
TRUE
|
Constructive Dilemma:
Either [2] or [3]. [SC1-1]
If [2], then [0]. [SC2-1]
If [3], then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Constructive Dilemma:
Either [4] or [5]. [SC1-2]
If [4], then [2].
If [5], then [3].
Therefore, Either [2] or [3]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then [10].
If (Not (Either [4] or [5].).), then (Not [10].).
Therefore, Either [4] or [5]..
[SC2-1]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [2], then [0].).
If [7], then (If [2], then [0].).
Therefore, If [2], then [0]..
[SC3-1]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [3], then [1].). [SC2-2]
If [9], then (If [3], then [1].).
Therefore, If [3], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either (If [11], then [12].) or (If [8], then (If [3], then [1].).).
Not (If [11], then [12].).
Therefore, If [8], then (If [3], then [1].)..
|
{0: "Triggers are 'things' which trigger events.", 1: 'Metabolic nutrients help support a high metabolic rate.', 2: 'A cocoa bean is a tree.', 3: 'Acute nephritis is severe inflammation of the kidneys.', 4: 'Most melons produce fruit.', 5: 'Hoof animals survive in habitats.', 6: 'Holistic practitioners aim to restore such imbalances through natural or supernatural powers.', 7: 'Sexual reproduction consists of two processes.', 8: 'Torpedos are fireworks.', 9: 'Group theory is a particularly fertile field for the design of practical algorithms.', 10: 'Sweet syndrome has the potential to involve several other organ systems.', 11: 'Bighorns have (part) sterna.', 12: 'Health psychologists focus on the prevention of disease and maintenance of health.'}
| 6 |
5,092 |
['We know that at least one of two things is true: most gaskets are permanently deformed so that they protrude below the hull, or friends are used for understanding.', "If most gaskets are permanently deformed so that they protrude below the hull, then the statement 'grain whisky is made from a mixture of any malted and unmalted cereals' can be considered false.", "Once we know those that suggest if friends are used for understanding, then the statement 'grain whisky is made from a mixture of any malted and unmalted cereals' can be considered false are wrong, we also know that pigeons have (part) cell membranes.", 'On the condition that organization is according to type of structure, it is definitely the case that fats provide a source of energy.', 'Either one or both of these statements are true: if aromatic perennial herbs have oval leaves, then rattlesnakes can lunge up to one half their body length, or most wheels have lower friction.', 'When if aromatic perennial herbs have oval leaves, then rattlesnakes can lunge up to one half their body length is true, it follows that if pigeons have (part) cell membranes, then organization is according to type of structure.', 'Once we know most wheels have lower friction, we also know that if pigeons have (part) cell membranes, then organization is according to type of structure.', 'If fats provide a source of energy, then scent marking is used to delineate territories.', 'Should it be the case that fats provide a source of energy, it follows that the statement that states scent marking is used to delineate territories is false.']
|
We know that at least one of two things is true: most gaskets are permanently deformed so that they protrude below the hull, or friends are used for understanding. If most gaskets are permanently deformed so that they protrude below the hull, then the statement 'grain whisky is made from a mixture of any malted and unmalted cereals' can be considered false. Once we know those that suggest if friends are used for understanding, then the statement 'grain whisky is made from a mixture of any malted and unmalted cereals' can be considered false are wrong, we also know that pigeons have (part) cell membranes. On the condition that organization is according to type of structure, it is definitely the case that fats provide a source of energy. Either one or both of these statements are true: if aromatic perennial herbs have oval leaves, then rattlesnakes can lunge up to one half their body length, or most wheels have lower friction. When if aromatic perennial herbs have oval leaves, then rattlesnakes can lunge up to one half their body length is true, it follows that if pigeons have (part) cell membranes, then organization is according to type of structure. Once we know most wheels have lower friction, we also know that if pigeons have (part) cell membranes, then organization is according to type of structure. If fats provide a source of energy, then scent marking is used to delineate territories. Should it be the case that fats provide a source of energy, it follows that the statement that states scent marking is used to delineate territories is false.
|
The statement 'grain whisky is made from a mixture of any malted and unmalted cereals' can be considered false.
|
The statement that states frogs produce substances is false.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then (Not [0].).
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC3-1]
Modus Tonens:
If (Not (If [2], then (Not [0].).).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, If [2], then (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [2], then (Not [0].).).), then [5].
If [5], then [3]. [SC2-3]
Therefore, If (Not (If [2], then (Not [0].).).), then [3]..
[SC2-3]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (If [5], then [3].).
If [9], then (If [5], then [3].).
Therefore, If [5], then [3]..
[SC2-2]
Modus Tonens:
If [3], then [4].
Not [4]. [SC2-3]
Therefore, Not [3]..
[SC2-3]
Reductio Ad Absurdum:
If [4], then [6].
If [4], then (Not [6].).
Therefore, Not [4]..
|
{0: 'Grain whisky is made from a mixture of any malted and unmalted cereals.', 1: 'Most gaskets are permanently deformed so that they protrude below the hull.', 2: 'Friends are used for understanding.', 3: 'Organization is according to type of structure.', 4: 'Fats provide a source of energy.', 5: 'Pigeons have (part) cell membranes.', 6: 'Scent marking is used to delineate territories.', 7: 'Aromatic perennial herbs have oval leaves.', 8: 'Rattlesnakes can lunge up to one half their body length.', 9: 'Most wheels have lower friction.'}
| 6 |
5,451 |
["One may reasonably assume that if the statement 'horses make sound' can be considered false, then debt also causes an increase of economic migration.", 'At least one of two things is true: temnospondyl amphibians are wide spread, or either email is the most popular form of Internet communication or archaeology is the study of societies that have come and gone.', 'Some people mistakenly believe that temnospondyl amphibians are wide spread.', "So long as the claim that if email is the most popular form of Internet communication, then if the statement 'horses make sound' can be considered false, then the claim that debt also causes an increase of economic migration does not correspond with reality does not correspond with reality, 'we know that the claim that women use technology is false' is true.", "When most crabs inhabit gastropod shells is true, it follows that if archaeology is the study of societies that have come and gone, then if the statement 'horses make sound' can be considered false, then the claim that debt also causes an increase of economic migration does not correspond with reality.", 'It is fair to say that most crabs inhabit gastropod shells.', "So long as the claim that if the claim that if email is the most popular form of Internet communication, then if the statement 'horses make sound' can be considered false, then the claim that debt also causes an increase of economic migration does not correspond with reality does not correspond with reality, then women use technology does not correspond with reality, 'if japan is the one financial market that has been around long enough to be considered mature, then diatoms are algae' is true.", 'The claim that if japan is the one financial market that has been around long enough to be considered mature, then diatoms are algae does not correspond with reality.']
|
One may reasonably assume that if the statement 'horses make sound' can be considered false, then debt also causes an increase of economic migration. At least one of two things is true: temnospondyl amphibians are wide spread, or either email is the most popular form of Internet communication or archaeology is the study of societies that have come and gone. Some people mistakenly believe that temnospondyl amphibians are wide spread. So long as the claim that if email is the most popular form of Internet communication, then if the statement 'horses make sound' can be considered false, then the claim that debt also causes an increase of economic migration does not correspond with reality does not correspond with reality, 'we know that the claim that women use technology is false' is true. When most crabs inhabit gastropod shells is true, it follows that if archaeology is the study of societies that have come and gone, then if the statement 'horses make sound' can be considered false, then the claim that debt also causes an increase of economic migration does not correspond with reality. It is fair to say that most crabs inhabit gastropod shells. So long as the claim that if the claim that if email is the most popular form of Internet communication, then if the statement 'horses make sound' can be considered false, then the claim that debt also causes an increase of economic migration does not correspond with reality does not correspond with reality, then women use technology does not correspond with reality, 'if japan is the one financial market that has been around long enough to be considered mature, then diatoms are algae' is true. The claim that if japan is the one financial market that has been around long enough to be considered mature, then diatoms are algae does not correspond with reality.
|
It is fair to say that horses make sound.
|
The statement, horses make sound, does not hold.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then (Not [1].).). [SC2-2]
If [3], then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (Either [2] or [3].).
Not [6].
Therefore, Either [2] or [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then (If (Not [0].), then (Not [1].).).).), then [4]. [SC1-3]
If (Not (If [2], then (If (Not [0].), then (Not [1].).).).), then (Not [4].).
Therefore, If [2], then (If (Not [0].), then (Not [1].).)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [2], then (If (Not [0].), then (Not [1].).).).), then [4].).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If (Not (If [2], then (If (Not [0].), then (Not [1].).).).), then [4]..
[SC3-2]
Modus Ponens:
If [5], then (If [3], then (If (Not [0].), then (Not [1].).).).
[5]
Therefore, If [3], then (If (Not [0].), then (Not [1].).)..
|
{0: 'Horses make sound.', 1: 'Debt also causes an increase of economic migration.', 2: 'Email is the most popular form of Internet communication.', 3: 'Archaeology is the study of societies that have come and gone.', 4: 'Women use technology.', 5: 'Most crabs inhabit gastropod shells.', 6: 'Temnospondyl amphibians are wide spread.', 7: 'Japan is the one financial market that has been around long enough to be considered mature.', 8: 'Diatoms are algae.'}
| 6 |
5,652 |
['Either if ice covers ponds and lakes and the cold air chills frogs under the forest leaves, then cutthroat trout are visual predators or endometrial cancer is the most common gynecological cancer in the United States.', 'Given that if ice covers ponds and lakes and the cold air chills frogs under the forest leaves, then cutthroat trout are visual predators, it can be inferred that either daylilies are easy to grow, require minimal care, and thrive in most places or drier air is less likely to condense.', 'If endometrial cancer is the most common gynecological cancer in the United States, then either daylilies are easy to grow, require minimal care, and thrive in most places or drier air is less likely to condense.', 'The statement that states if livings cause respiration, then many rocks contain tiny magnetic particles is false.', 'On the condition that cubes are used for play, it is definitely the case that if livings cause respiration, then many rocks contain tiny magnetic particles.', 'One may reasonably assume that if we know that the claim that either cubes are used for play or religious priests take a vow of chastity and diocesan priests promise celibacy is false, then land plant zygotes that develop on the living parent plant.', 'The statement that states land plant zygotes that develop on the living parent plant is false.', 'Given that it is not true that if religious priests take a vow of chastity and diocesan priests promise celibacy, then the statement, daylilies are easy to grow, require minimal care, and thrive in most places, does not hold, it can be inferred that medication is a part of daily life for many people with mental illness.', 'Should it be the case that it is not true that if religious priests take a vow of chastity and diocesan priests promise celibacy, then the statement, daylilies are easy to grow, require minimal care, and thrive in most places, does not hold, it follows that it is not the case that medication is a part of daily life for many people with mental illness.']
|
Either if ice covers ponds and lakes and the cold air chills frogs under the forest leaves, then cutthroat trout are visual predators or endometrial cancer is the most common gynecological cancer in the United States. Given that if ice covers ponds and lakes and the cold air chills frogs under the forest leaves, then cutthroat trout are visual predators, it can be inferred that either daylilies are easy to grow, require minimal care, and thrive in most places or drier air is less likely to condense. If endometrial cancer is the most common gynecological cancer in the United States, then either daylilies are easy to grow, require minimal care, and thrive in most places or drier air is less likely to condense. The statement that states if livings cause respiration, then many rocks contain tiny magnetic particles is false. On the condition that cubes are used for play, it is definitely the case that if livings cause respiration, then many rocks contain tiny magnetic particles. One may reasonably assume that if we know that the claim that either cubes are used for play or religious priests take a vow of chastity and diocesan priests promise celibacy is false, then land plant zygotes that develop on the living parent plant. The statement that states land plant zygotes that develop on the living parent plant is false. Given that it is not true that if religious priests take a vow of chastity and diocesan priests promise celibacy, then the statement, daylilies are easy to grow, require minimal care, and thrive in most places, does not hold, it can be inferred that medication is a part of daily life for many people with mental illness. Should it be the case that it is not true that if religious priests take a vow of chastity and diocesan priests promise celibacy, then the statement, daylilies are easy to grow, require minimal care, and thrive in most places, does not hold, it follows that it is not the case that medication is a part of daily life for many people with mental illness.
|
We can assume that drier air is less likely to condense.
|
The statement, drier air is less likely to condense, does not hold.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (If [2], then [3].) or [4].
If (If [2], then [3].), then (Either [1] or [0].).
If [4], then (Either [1] or [0].).
Therefore, Either [1] or [0]..
[SC2-1]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Not [1].). [SC1-2]
Not (If [5], then [6].).
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either [7] or [8]. [SC1-3]
If [7], then (If [5], then [6].).
If [8], then (Not [1].). [SC3-3]
Therefore, Either (If [5], then [6].) or (Not [1].)..
[SC1-3]
Modus Tonens:
If (Not (Either [7] or [8].).), then [10].
Not [10].
Therefore, Either [7] or [8]..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [8], then (Not [1].).).), then [9].
If (Not (If [8], then (Not [1].).).), then (Not [9].).
Therefore, If [8], then (Not [1].)..
|
{0: 'Drier air is less likely to condense.', 1: 'Daylilies are easy to grow, require minimal care, and thrive in most places.', 2: 'Ice covers ponds and lakes and the cold air chills frogs under the forest leaves.', 3: 'Cutthroat trout are visual predators.', 4: 'Endometrial cancer is the most common gynecological cancer in the United States.', 5: 'Livings cause respiration.', 6: 'Many rocks contain tiny magnetic particles.', 7: 'Cubes are used for play.', 8: 'Religious priests take a vow of chastity and diocesan priests promise celibacy.', 9: 'Medication is a part of daily life for many people with mental illness.', 10: 'Land plant zygotes that develop on the living parent plant.'}
| 6 |
5,822 |
['If raccoons are about as big as small dogs, then if the statement, meerkats are found in southern Africa, including South Africa, Botswana, Zimbabwe and Mozambique, does not hold, then most echidnas have lungs.', 'It is reasonable to believe that raccoons are about as big as small dogs.', 'There is good reason to believe that either if many fungi obtain nutrient molecules by extracellular digestion, then bowmen have (part) vacuoles or if the statement, meerkats are found in southern Africa, including South Africa, Botswana, Zimbabwe and Mozambique, does not hold, then some people mistakenly believe that most echidnas have lungs.', 'It is a fact that either gold is in mountains or hills, streams and rivers or the claim that if many fungi obtain nutrient molecules by extracellular digestion, then bowmen have (part) vacuoles is false.', 'Either diverticulosis is the condition of having diverticula or tobacco use is one of the leading causes of preventable disease and death in New York City.', "So long as diverticulosis is the condition of having diverticula, 'it is not true that gold is in mountains or hills, streams and rivers' is true.", 'Once we know the statement that states if tobacco use is one of the leading causes of preventable disease and death in New York City, then it is not true that gold is in mountains or hills, streams and rivers is false, we also know that palaces have (part) tubs.', 'Assuming the statement that states if tobacco use is one of the leading causes of preventable disease and death in New York City, then it is not true that gold is in mountains or hills, streams and rivers is false, we know that the claim that palaces have (part) tubs does not correspond with reality.']
|
If raccoons are about as big as small dogs, then if the statement, meerkats are found in southern Africa, including South Africa, Botswana, Zimbabwe and Mozambique, does not hold, then most echidnas have lungs. It is reasonable to believe that raccoons are about as big as small dogs. There is good reason to believe that either if many fungi obtain nutrient molecules by extracellular digestion, then bowmen have (part) vacuoles or if the statement, meerkats are found in southern Africa, including South Africa, Botswana, Zimbabwe and Mozambique, does not hold, then some people mistakenly believe that most echidnas have lungs. It is a fact that either gold is in mountains or hills, streams and rivers or the claim that if many fungi obtain nutrient molecules by extracellular digestion, then bowmen have (part) vacuoles is false. Either diverticulosis is the condition of having diverticula or tobacco use is one of the leading causes of preventable disease and death in New York City. So long as diverticulosis is the condition of having diverticula, 'it is not true that gold is in mountains or hills, streams and rivers' is true. Once we know the statement that states if tobacco use is one of the leading causes of preventable disease and death in New York City, then it is not true that gold is in mountains or hills, streams and rivers is false, we also know that palaces have (part) tubs. Assuming the statement that states if tobacco use is one of the leading causes of preventable disease and death in New York City, then it is not true that gold is in mountains or hills, streams and rivers is false, we know that the claim that palaces have (part) tubs does not correspond with reality.
|
The statement that states meerkats are found in southern Africa, including South Africa, Botswana, Zimbabwe and Mozambique is right.
|
The statement that states meerkats are found in southern Africa, including South Africa, Botswana, Zimbabwe and Mozambique is right.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [4], then (If (Not [0].), then [1].).
[4]
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).
Not (If [2], then [3].). [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (Not (If [2], then [3].).).
Not [5]. [SC2-3]
Therefore, Not (If [2], then [3].)..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [5].).
If [7], then (Not [5].). [SC3-4]
Therefore, Not [5]..
[SC3-4]
Reductio Ad Absurdum:
If (Not (If [7], then (Not [5].).).), then [8].
If (Not (If [7], then (Not [5].).).), then (Not [8].).
Therefore, If [7], then (Not [5].)..
|
{0: 'Meerkats are found in southern Africa, including South Africa, Botswana, Zimbabwe and Mozambique.', 1: 'Most echidnas have lungs.', 2: 'Many fungi obtain nutrient molecules by extracellular digestion.', 3: 'Bowmen have (part) vacuoles.', 4: 'Raccoons are about as big as small dogs.', 5: 'Gold is in mountains or hills, streams and rivers.', 6: 'Diverticulosis is the condition of having diverticula.', 7: 'Tobacco use is one of the leading causes of preventable disease and death in New York City.', 8: 'Palaces have (part) tubs.'}
| 6 |
5,855 |
['Either electrical burns are the most serious and can cause heart attacks and death or mitosis is a process that creates a nearly exact copy of the original cell.', 'Provided that electrical burns are the most serious and can cause heart attacks and death, we know that a rattler is a pit viper.', 'Once we know mitosis is a process that creates a nearly exact copy of the original cell, we also know that earthquakes present the greatest loss potential to life, injury and economic welfare in the state.', 'On the condition that earthquakes present the greatest loss potential to life, injury and economic welfare in the state, it is definitely the case that regression therapy is a profound experience for the therapist as well as the client.', 'We know that either either some alcoholic beverages affect blood sugar or writing is the transcription of linguistic noises into visible squiggles or alligators live in the swamps and wetlands of the southeastern United States.', 'One may reasonably assume that if some people mistakenly believe that if either some alcoholic beverages affect blood sugar or writing is the transcription of linguistic noises into visible squiggles, then if a rattler is a pit viper, then regression therapy is a profound experience for the therapist as well as the client, then older crabs molt less frequently but require the same care.', 'One may reasonably assume that if some people mistakenly believe that if either some alcoholic beverages affect blood sugar or writing is the transcription of linguistic noises into visible squiggles, then if a rattler is a pit viper, then regression therapy is a profound experience for the therapist as well as the client, then the claim that older crabs molt less frequently but require the same care has no merit.', 'One may reasonably assume that if it is a common misconception that if alligators live in the swamps and wetlands of the southeastern United States, then if a rattler is a pit viper, then regression therapy is a profound experience for the therapist as well as the client, then cardiac defects require SBE prophylaxis for dental work or other invasive procedures.', "So long as it is a common misconception that if alligators live in the swamps and wetlands of the southeastern United States, then if a rattler is a pit viper, then regression therapy is a profound experience for the therapist as well as the client, 'we know that the claim that cardiac defects require SBE prophylaxis for dental work or other invasive procedures is false' is true."]
|
Either electrical burns are the most serious and can cause heart attacks and death or mitosis is a process that creates a nearly exact copy of the original cell. Provided that electrical burns are the most serious and can cause heart attacks and death, we know that a rattler is a pit viper. Once we know mitosis is a process that creates a nearly exact copy of the original cell, we also know that earthquakes present the greatest loss potential to life, injury and economic welfare in the state. On the condition that earthquakes present the greatest loss potential to life, injury and economic welfare in the state, it is definitely the case that regression therapy is a profound experience for the therapist as well as the client. We know that either either some alcoholic beverages affect blood sugar or writing is the transcription of linguistic noises into visible squiggles or alligators live in the swamps and wetlands of the southeastern United States. One may reasonably assume that if some people mistakenly believe that if either some alcoholic beverages affect blood sugar or writing is the transcription of linguistic noises into visible squiggles, then if a rattler is a pit viper, then regression therapy is a profound experience for the therapist as well as the client, then older crabs molt less frequently but require the same care. One may reasonably assume that if some people mistakenly believe that if either some alcoholic beverages affect blood sugar or writing is the transcription of linguistic noises into visible squiggles, then if a rattler is a pit viper, then regression therapy is a profound experience for the therapist as well as the client, then the claim that older crabs molt less frequently but require the same care has no merit. One may reasonably assume that if it is a common misconception that if alligators live in the swamps and wetlands of the southeastern United States, then if a rattler is a pit viper, then regression therapy is a profound experience for the therapist as well as the client, then cardiac defects require SBE prophylaxis for dental work or other invasive procedures. So long as it is a common misconception that if alligators live in the swamps and wetlands of the southeastern United States, then if a rattler is a pit viper, then regression therapy is a profound experience for the therapist as well as the client, 'we know that the claim that cardiac defects require SBE prophylaxis for dental work or other invasive procedures is false' is true.
|
regression therapy is a profound experience for the therapist as well as the client.
|
It is not true that regression therapy is a profound experience for the therapist as well as the client.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Hypothetical Syllogism:
If [1], then [4].
If [4], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunction Elimination:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then (If [4], then [0].). [SC2-3]
If [7], then (If [4], then [0].). [SC3-3]
Therefore, If [4], then [0]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Either [5] or [6].), then (If [4], then [0].).).), then [8].
If (Not (If (Either [5] or [6].), then (If [4], then [0].).).), then (Not [8].).
Therefore, If (Either [5] or [6].), then (If [4], then [0].)..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [7], then (If [4], then [0].).).), then [9].
If (Not (If [7], then (If [4], then [0].).).), then (Not [9].).
Therefore, If [7], then (If [4], then [0].)..
[SC3-1]
Hypothetical Syllogism:
If [2], then [3].
If [3], then [0].
Therefore, If [2], then [0]..
|
{0: 'Regression therapy is a profound experience for the therapist as well as the client.', 1: 'Electrical burns are the most serious and can cause heart attacks and death.', 2: 'Mitosis is a process that creates a nearly exact copy of the original cell.', 3: 'Earthquakes present the greatest loss potential to life, injury and economic welfare in the state.', 4: 'A rattler is a pit viper.', 5: 'Some alcoholic beverages affect blood sugar.', 6: 'Writing is the transcription of linguistic noises into visible squiggles.', 7: 'Alligators live in the swamps and wetlands of the southeastern United States.', 8: 'Older crabs molt less frequently but require the same care.', 9: 'Cardiac defects require SBE prophylaxis for dental work or other invasive procedures.'}
| 6 |
5,390 |
['image quality is determined by resolution and color depth.', 'It is not true that horses can accidentally step on a person who has fallen to the ground.', 'Either one or both of these statements are true: sprawl increases traffic on our neighborhood streets and highways, or juvenile mud crabs inhabit shelter areas.', 'Once we know sprawl increases traffic on our neighborhood streets and highways, we also know that either if epicureanism is one of the most notable influences the Greek world bestows on Roman civilization, then messiahs are people or most kudus have horns.', 'Given that juvenile mud crabs inhabit shelter areas, it can be inferred that either if epicureanism is one of the most notable influences the Greek world bestows on Roman civilization, then messiahs are people or most kudus have horns.', 'There is good reason to believe that either most horseshoe crabs spend most of the year in deep water or rodents inhabit habitats.', 'If most horseshoe crabs spend most of the year in deep water, then if if epicureanism is one of the most notable influences the Greek world bestows on Roman civilization, then messiahs are people, then either horses can accidentally step on a person who has fallen to the ground or if image quality is determined by resolution and color depth, then most mice have forelimbs.', 'If rodents inhabit habitats, then if if epicureanism is one of the most notable influences the Greek world bestows on Roman civilization, then messiahs are people, then either horses can accidentally step on a person who has fallen to the ground or if image quality is determined by resolution and color depth, then most mice have forelimbs.', 'When the claim that if most kudus have horns, then either horses can accidentally step on a person who has fallen to the ground or if image quality is determined by resolution and color depth, then most mice have forelimbs has no merit is true, it follows that cycling is much more than physical exercise.', 'On the condition that the claim that if most kudus have horns, then either horses can accidentally step on a person who has fallen to the ground or if image quality is determined by resolution and color depth, then most mice have forelimbs has no merit, it is definitely the case that some people mistakenly believe that cycling is much more than physical exercise.']
|
image quality is determined by resolution and color depth. It is not true that horses can accidentally step on a person who has fallen to the ground. Either one or both of these statements are true: sprawl increases traffic on our neighborhood streets and highways, or juvenile mud crabs inhabit shelter areas. Once we know sprawl increases traffic on our neighborhood streets and highways, we also know that either if epicureanism is one of the most notable influences the Greek world bestows on Roman civilization, then messiahs are people or most kudus have horns. Given that juvenile mud crabs inhabit shelter areas, it can be inferred that either if epicureanism is one of the most notable influences the Greek world bestows on Roman civilization, then messiahs are people or most kudus have horns. There is good reason to believe that either most horseshoe crabs spend most of the year in deep water or rodents inhabit habitats. If most horseshoe crabs spend most of the year in deep water, then if if epicureanism is one of the most notable influences the Greek world bestows on Roman civilization, then messiahs are people, then either horses can accidentally step on a person who has fallen to the ground or if image quality is determined by resolution and color depth, then most mice have forelimbs. If rodents inhabit habitats, then if if epicureanism is one of the most notable influences the Greek world bestows on Roman civilization, then messiahs are people, then either horses can accidentally step on a person who has fallen to the ground or if image quality is determined by resolution and color depth, then most mice have forelimbs. When the claim that if most kudus have horns, then either horses can accidentally step on a person who has fallen to the ground or if image quality is determined by resolution and color depth, then most mice have forelimbs has no merit is true, it follows that cycling is much more than physical exercise. On the condition that the claim that if most kudus have horns, then either horses can accidentally step on a person who has fallen to the ground or if image quality is determined by resolution and color depth, then most mice have forelimbs has no merit, it is definitely the case that some people mistakenly believe that cycling is much more than physical exercise.
|
The claim that most mice have forelimbs is true.
|
Some people mistakenly believe that most mice have forelimbs.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [1], then [0].). [SC1-2]
Not [2].
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either (If [3], then [4].) or [5]. [SC1-3]
If (If [3], then [4].), then (Either [2] or (If [1], then [0].).). [SC2-3]
If [5], then (Either [2] or (If [1], then [0].).). [SC3-3]
Therefore, Either [2] or (If [1], then [0].)..
[SC1-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either (If [3], then [4].) or [5].).
If [8], then (Either (If [3], then [4].) or [5].).
Therefore, Either (If [3], then [4].) or [5]..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (If [3], then [4].), then (Either [2] or (If [1], then [0].).).).
If [10], then (If (If [3], then [4].), then (Either [2] or (If [1], then [0].).).).
Therefore, If (If [3], then [4].), then (Either [2] or (If [1], then [0].).)..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [5], then (Either [2] or (If [1], then [0].).).).), then [6].
If (Not (If [5], then (Either [2] or (If [1], then [0].).).).), then (Not [6].).
Therefore, If [5], then (Either [2] or (If [1], then [0].).)..
|
{0: 'Most mice have forelimbs.', 1: 'Image quality is determined by resolution and color depth.', 2: 'Horses can accidentally step on a person who has fallen to the ground.', 3: 'Epicureanism is one of the most notable influences the Greek world bestows on Roman civilization.', 4: 'Messiahs are people.', 5: 'Most kudus have horns.', 6: 'Cycling is much more than physical exercise.', 7: 'Sprawl increases traffic on our neighborhood streets and highways.', 8: 'Juvenile mud crabs inhabit shelter areas.', 9: 'Most horseshoe crabs spend most of the year in deep water.', 10: 'Rodents inhabit habitats.'}
| 6 |
5,577 |
['There is good reason to believe that either if ditties have (part) chapters, then uncontrolled fires can endanger lives, property, and resources or either chickens always come home to roost or the claim that water is our most prominent chemical and most rapidly replaced chemical has no merit.', 'It is a fact that either suspension bridges involve a vertical stretch of cables or either chemical reactions occur in nature, and some also can be performed in a laboratory setting or dance therapy uses creative dance to unlock tension and relieve the effect of stress on the body.', 'Should it be the case that suspension bridges involve a vertical stretch of cables, it follows that the statement that states if ditties have (part) chapters, then uncontrolled fires can endanger lives, property, and resources is false.', 'Provided that either chemical reactions occur in nature, and some also can be performed in a laboratory setting or dance therapy uses creative dance to unlock tension and relieve the effect of stress on the body, we know that the statement that states if ditties have (part) chapters, then uncontrolled fires can endanger lives, property, and resources is false.', 'We know that at least one of two things is true: either thulium is the least abundant of the rare-earth metals or earth consists of layers from the crust to the core made up of varying materials and consistencies, or front feet have five toes, including a small toe corresponding to our thumb.', 'When either thulium is the least abundant of the rare-earth metals or earth consists of layers from the crust to the core made up of varying materials and consistencies is true, it follows that natural selection takes an organism as a whole.', 'On the condition that front feet have five toes, including a small toe corresponding to our thumb, it is definitely the case that it is not true that chickens always come home to roost.', 'When natural selection takes an organism as a whole is true, it follows that either water is a compound of hydrogen and oxygen or plant proteins find in food.', 'When natural selection takes an organism as a whole is true, it follows that the claim that either water is a compound of hydrogen and oxygen or plant proteins find in food is false.']
|
There is good reason to believe that either if ditties have (part) chapters, then uncontrolled fires can endanger lives, property, and resources or either chickens always come home to roost or the claim that water is our most prominent chemical and most rapidly replaced chemical has no merit. It is a fact that either suspension bridges involve a vertical stretch of cables or either chemical reactions occur in nature, and some also can be performed in a laboratory setting or dance therapy uses creative dance to unlock tension and relieve the effect of stress on the body. Should it be the case that suspension bridges involve a vertical stretch of cables, it follows that the statement that states if ditties have (part) chapters, then uncontrolled fires can endanger lives, property, and resources is false. Provided that either chemical reactions occur in nature, and some also can be performed in a laboratory setting or dance therapy uses creative dance to unlock tension and relieve the effect of stress on the body, we know that the statement that states if ditties have (part) chapters, then uncontrolled fires can endanger lives, property, and resources is false. We know that at least one of two things is true: either thulium is the least abundant of the rare-earth metals or earth consists of layers from the crust to the core made up of varying materials and consistencies, or front feet have five toes, including a small toe corresponding to our thumb. When either thulium is the least abundant of the rare-earth metals or earth consists of layers from the crust to the core made up of varying materials and consistencies is true, it follows that natural selection takes an organism as a whole. On the condition that front feet have five toes, including a small toe corresponding to our thumb, it is definitely the case that it is not true that chickens always come home to roost. When natural selection takes an organism as a whole is true, it follows that either water is a compound of hydrogen and oxygen or plant proteins find in food. When natural selection takes an organism as a whole is true, it follows that the claim that either water is a compound of hydrogen and oxygen or plant proteins find in food is false.
|
The claim that water is our most prominent chemical and most rapidly replaced chemical has no merit.
|
We know that the claim that water is the principle of all things is false.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (Either [1] or (Not [0].).).
Not (If [2], then [3].). [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (Not (If [2], then [3].).).
If (Either [6] or [7].), then (Not (If [2], then [3].).).
Therefore, Not (If [2], then [3].)..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [1].). [SC1-2]
Not [4]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either (Either [10] or [11].) or [12].
If (Either [10] or [11].), then [4].
If [12], then (Not [1].).
Therefore, Either [4] or (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If [4], then (Either [8] or [9].).
If [4], then (Not (Either [8] or [9].).).
Therefore, Not [4]..
|
{0: 'Water is our most prominent chemical and most rapidly replaced chemical.', 1: 'Chickens always come home to roost.', 2: 'Ditties have (part) chapters.', 3: 'Uncontrolled fires can endanger lives, property, and resources.', 4: 'Natural selection takes an organism as a whole.', 5: 'Suspension bridges involve a vertical stretch of cables.', 6: 'Chemical reactions occur in nature, and some also can be performed in a laboratory setting.', 7: 'Dance therapy uses creative dance to unlock tension and relieve the effect of stress on the body.', 8: 'Water is a compound of hydrogen and oxygen.', 9: 'Plant proteins find in food.', 10: 'Thulium is the least abundant of the rare-earth metals.', 11: 'Earth consists of layers from the crust to the core made up of varying materials and consistencies.', 12: 'Front feet have five toes, including a small toe corresponding to our thumb.'}
| 6 |
5,985 |
['Given that the claim that either breakfasts have (part) helpings or magnesium deficiency is described with cardiac arrhythmias does not reflect reality, it can be inferred that a ferrule is a cap.', 'It is a common misconception that a ferrule is a cap.', 'Once we know breakfasts have (part) helpings, we also know that microscopic diamonds are found in some meteorites.', "Whenever it is true that the statement, if parents are responsible for teaching and training their children, then the statement, microscopic diamonds are found in some meteorites, does not hold, does not hold, 'most little children live in nations' is true.", "The statement that 'most little children live in nations' is incorrect.", 'It is a fact that either either a prater is a speaker or power flows through people or libertarianism is broad enough to encompass pacifists.', "Whenever it is true that either a prater is a speaker or power flows through people, 'parents are responsible for teaching and training their children' is true.", 'When libertarianism is broad enough to encompass pacifists is true, it follows that parents are responsible for teaching and training their children.']
|
Given that the claim that either breakfasts have (part) helpings or magnesium deficiency is described with cardiac arrhythmias does not reflect reality, it can be inferred that a ferrule is a cap. It is a common misconception that a ferrule is a cap. Once we know breakfasts have (part) helpings, we also know that microscopic diamonds are found in some meteorites. Whenever it is true that the statement, if parents are responsible for teaching and training their children, then the statement, microscopic diamonds are found in some meteorites, does not hold, does not hold, 'most little children live in nations' is true. The statement that 'most little children live in nations' is incorrect. It is a fact that either either a prater is a speaker or power flows through people or libertarianism is broad enough to encompass pacifists. Whenever it is true that either a prater is a speaker or power flows through people, 'parents are responsible for teaching and training their children' is true. When libertarianism is broad enough to encompass pacifists is true, it follows that parents are responsible for teaching and training their children.
|
magnesium deficiency is described with cardiac arrhythmias.
|
Magnesium deficiency is described with cardiac arrhythmias.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then [2].
Not [2].
Therefore, Either [1] or [0]..
[SC2-1]
Modus Tonens:
If [1], then [3].
Not [3]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Ponens:
If [4], then (Not [3].). [SC1-3]
[4] [SC2-3]
Therefore, Not [3]..
[SC1-3]
Modus Tonens:
If (Not (If [4], then (Not [3].).).), then [5].
Not [5].
Therefore, If [4], then (Not [3].)..
[SC2-3]
Disjunction Elimination:
Either (Either [6] or [7].) or [8].
If (Either [6] or [7].), then [4].
If [8], then [4].
Therefore, [4].
|
{0: 'Magnesium deficiency is described with cardiac arrhythmias.', 1: 'Breakfasts have (part) helpings.', 2: 'A ferrule is a cap.', 3: 'Microscopic diamonds are found in some meteorites.', 4: 'Parents are responsible for teaching and training their children.', 5: 'Most little children live in nations.', 6: 'A prater is a speaker.', 7: 'Power flows through people.', 8: 'Libertarianism is broad enough to encompass pacifists.'}
| 6 |
5,422 |
['It is a common misconception that either tornadoes can occur at any time of the year, and any time of the day or operable windows are simply windows that can be opened.', "Assuming mice have an abnormal attraction to sled airboxes, we know that if the statement that 'some geologists have minerals' is incorrect, then either tornadoes can occur at any time of the year, and any time of the day or operable windows are simply windows that can be opened.", 'When most spiders are predators, they capture prey is true, it follows that either mice have an abnormal attraction to sled airboxes or exercise prevents strokes and helps restore function after a stroke.', "Given that the notion that 'if exercise prevents strokes and helps restore function after a stroke, then if the statement that 'some geologists have minerals' is incorrect, then either tornadoes can occur at any time of the year, and any time of the day or operable windows are simply windows that can be opened' is untrue, it can be inferred that some people mistakenly believe that sequential hermaphrodites are born one sex and change sex sometime during the course of life.", 'Once we know those that suggest most spiders are predators, they capture prey are wrong, we also know that waterfowl are abundant.', 'When those that suggest most spiders are predators, they capture prey are wrong is true, it follows that it is not the case that waterfowl are abundant.', "Assuming the claim that if the notion that 'if exercise prevents strokes and helps restore function after a stroke, then if the statement that 'some geologists have minerals' is incorrect, then either tornadoes can occur at any time of the year, and any time of the day or operable windows are simply windows that can be opened' is untrue, then sequential hermaphrodites are born one sex and change sex sometime during the course of life does not reflect reality, we know that either launderings are wash or midwives have the goal of keeping the perineum intact whenever possible.", 'The statement that states either launderings are wash or midwives have the goal of keeping the perineum intact whenever possible is false.']
|
It is a common misconception that either tornadoes can occur at any time of the year, and any time of the day or operable windows are simply windows that can be opened. Assuming mice have an abnormal attraction to sled airboxes, we know that if the statement that 'some geologists have minerals' is incorrect, then either tornadoes can occur at any time of the year, and any time of the day or operable windows are simply windows that can be opened. When most spiders are predators, they capture prey is true, it follows that either mice have an abnormal attraction to sled airboxes or exercise prevents strokes and helps restore function after a stroke. Given that the notion that 'if exercise prevents strokes and helps restore function after a stroke, then if the statement that 'some geologists have minerals' is incorrect, then either tornadoes can occur at any time of the year, and any time of the day or operable windows are simply windows that can be opened' is untrue, it can be inferred that some people mistakenly believe that sequential hermaphrodites are born one sex and change sex sometime during the course of life. Once we know those that suggest most spiders are predators, they capture prey are wrong, we also know that waterfowl are abundant. When those that suggest most spiders are predators, they capture prey are wrong is true, it follows that it is not the case that waterfowl are abundant. Assuming the claim that if the notion that 'if exercise prevents strokes and helps restore function after a stroke, then if the statement that 'some geologists have minerals' is incorrect, then either tornadoes can occur at any time of the year, and any time of the day or operable windows are simply windows that can be opened' is untrue, then sequential hermaphrodites are born one sex and change sex sometime during the course of life does not reflect reality, we know that either launderings are wash or midwives have the goal of keeping the perineum intact whenever possible. The statement that states either launderings are wash or midwives have the goal of keeping the perineum intact whenever possible is false.
|
It is reasonable to believe that some geologists have minerals.
|
Geologists use a range of evidence to establish whether a star is faint enough to be a brown dwarf.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].).
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (Not [0].), then (Either [1] or [2].).).
If [4], then (If (Not [0].), then (Either [1] or [2].).). [SC3-2]
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC1-2]
Modus Ponens:
If [5], then (Either [3] or [4].).
[5] [SC2-3]
Therefore, Either [3] or [4]..
[SC2-3]
Reductio Ad Absurdum:
If (Not [5].), then [7].
If (Not [5].), then (Not [7].).
Therefore, [5].
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [4], then (If (Not [0].), then (Either [1] or [2].).).).), then [6]. [SC1-3]
If (Not (If [4], then (If (Not [0].), then (Either [1] or [2].).).).), then (Not [6].).
Therefore, If [4], then (If (Not [0].), then (Either [1] or [2].).)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [4], then (If (Not [0].), then (Either [1] or [2].).).).), then [6].).), then (Either [8] or [9].).
Not (Either [8] or [9].).
Therefore, If (Not (If [4], then (If (Not [0].), then (Either [1] or [2].).).).), then [6]..
|
{0: 'Some geologists have minerals.', 1: 'Tornadoes can occur at any time of the year, and any time of the day.', 2: 'Operable windows are simply windows that can be opened.', 3: 'Mice have an abnormal attraction to sled airboxes.', 4: 'Exercise prevents strokes and helps restore function after a stroke.', 5: 'Most spiders are predators, they capture prey.', 6: 'Sequential hermaphrodites are born one sex and change sex sometime during the course of life.', 7: 'Waterfowl are abundant.', 8: 'Launderings are wash.', 9: 'Midwives have the goal of keeping the perineum intact whenever possible.'}
| 6 |
5,211 |
['We know that either psychiatric perception defines suicidality as a psychopathological symptom of depression or a pulse rate is a rate.', 'On the condition that psychiatric perception defines suicidality as a psychopathological symptom of depression, it is definitely the case that if ties are braces, then acrylamides are amides.', 'Provided that acrylamides are amides, we know that progesterone is a second female hormone secreted by the ovary.', 'Given that if wizards are software, with all the associated up-front development costs, then nutrient levels determine how well plants grow, it can be inferred that if a pulse rate is a rate, then if ties are braces, then acrylamides are amides.', 'Once we know wizards are software, with all the associated up-front development costs, we also know that nutrient levels determine how well plants grow.', 'When progesterone is a second female hormone secreted by the ovary is true, it follows that some religions do teach people to be unhappy.', 'Given that progesterone is a second female hormone secreted by the ovary, it can be inferred that if an inferior planet is a planet, then tamoxifen citrate can result in difficulty in distinguishing different colors.', "So long as if an inferior planet is a planet, then tamoxifen citrate can result in difficulty in distinguishing different colors, 'the statement, some religions do teach people to be unhappy, does not hold' is true."]
|
We know that either psychiatric perception defines suicidality as a psychopathological symptom of depression or a pulse rate is a rate. On the condition that psychiatric perception defines suicidality as a psychopathological symptom of depression, it is definitely the case that if ties are braces, then acrylamides are amides. Provided that acrylamides are amides, we know that progesterone is a second female hormone secreted by the ovary. Given that if wizards are software, with all the associated up-front development costs, then nutrient levels determine how well plants grow, it can be inferred that if a pulse rate is a rate, then if ties are braces, then acrylamides are amides. Once we know wizards are software, with all the associated up-front development costs, we also know that nutrient levels determine how well plants grow. When progesterone is a second female hormone secreted by the ovary is true, it follows that some religions do teach people to be unhappy. Given that progesterone is a second female hormone secreted by the ovary, it can be inferred that if an inferior planet is a planet, then tamoxifen citrate can result in difficulty in distinguishing different colors. So long as if an inferior planet is a planet, then tamoxifen citrate can result in difficulty in distinguishing different colors, 'the statement, some religions do teach people to be unhappy, does not hold' is true.
|
It is not the case that ties are braces.
|
It is not the case that ties are braces.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [0], then [1].).
If [4], then (If [0], then [1].). [SC3-2]
Therefore, If [0], then [1]..
[SC3-2]
Modus Ponens:
If (If [5], then [6].), then (If [4], then (If [0], then [1].).).
If [5], then [6].
Therefore, If [4], then (If [0], then [1].)..
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [7].
If [2], then (Not [7].). [SC2-3]
Therefore, Not [2]..
[SC2-3]
Hypothetical Syllogism:
If [2], then (If [8], then [9].).
If (If [8], then [9].), then (Not [7].).
Therefore, If [2], then (Not [7].)..
|
{0: 'Ties are braces.', 1: 'Acrylamides are amides.', 2: 'Progesterone is a second female hormone secreted by the ovary.', 3: 'Psychiatric perception defines suicidality as a psychopathological symptom of depression.', 4: 'A pulse rate is a rate.', 5: 'Wizards are software, with all the associated up-front development costs.', 6: 'Nutrient levels determine how well plants grow.', 7: 'Some religions do teach people to be unhappy.', 8: 'An inferior planet is a planet.', 9: 'Tamoxifen citrate can result in difficulty in distinguishing different colors.'}
| 6 |
5,171 |
['If if victorians are people, then reggae music is very popular, underground, in America, then if it is not the case that most platypuses eat grubs, then if pentecostal faith is experiential, communitarian, healing and body-involving, then many parents hesitate to discuss alcohol and other drug use with their child.', 'We know that either section isa object or most trees die during the winter.', 'Given that section isa object, it can be inferred that if victorians are people, then reggae music is very popular, underground, in America.', 'If most trees die during the winter, then if victorians are people, then reggae music is very popular, underground, in America.', 'Either if dugongs are found in the shallow protected areas, then calcium is important for normal blood clotting, which is essential for wound healing or if fishing is done on just about every body of water, then organizations require attention.', 'Provided that if dugongs are found in the shallow protected areas, then calcium is important for normal blood clotting, which is essential for wound healing, we know that if it is not the case that most platypuses eat grubs, then animal bodies are constructed to com- pensate for the pull of gravity.', 'Should it be the case that if fishing is done on just about every body of water, then organizations require attention, it follows that if it is not the case that most platypuses eat grubs, then animal bodies are constructed to com- pensate for the pull of gravity.', 'Assuming the claim that if animal bodies are constructed to com- pensate for the pull of gravity, then the claim that if pentecostal faith is experiential, communitarian, healing and body-involving, then many parents hesitate to discuss alcohol and other drug use with their child does not correspond with reality has no merit, we know that if walls consist of mucous membranes, then evergreen trees require little or no pruning.', 'Given that the claim that if animal bodies are constructed to com- pensate for the pull of gravity, then the claim that if pentecostal faith is experiential, communitarian, healing and body-involving, then many parents hesitate to discuss alcohol and other drug use with their child does not correspond with reality has no merit, it can be inferred that the claim that if walls consist of mucous membranes, then evergreen trees require little or no pruning is false.']
|
If if victorians are people, then reggae music is very popular, underground, in America, then if it is not the case that most platypuses eat grubs, then if pentecostal faith is experiential, communitarian, healing and body-involving, then many parents hesitate to discuss alcohol and other drug use with their child. We know that either section isa object or most trees die during the winter. Given that section isa object, it can be inferred that if victorians are people, then reggae music is very popular, underground, in America. If most trees die during the winter, then if victorians are people, then reggae music is very popular, underground, in America. Either if dugongs are found in the shallow protected areas, then calcium is important for normal blood clotting, which is essential for wound healing or if fishing is done on just about every body of water, then organizations require attention. Provided that if dugongs are found in the shallow protected areas, then calcium is important for normal blood clotting, which is essential for wound healing, we know that if it is not the case that most platypuses eat grubs, then animal bodies are constructed to com- pensate for the pull of gravity. Should it be the case that if fishing is done on just about every body of water, then organizations require attention, it follows that if it is not the case that most platypuses eat grubs, then animal bodies are constructed to com- pensate for the pull of gravity. Assuming the claim that if animal bodies are constructed to com- pensate for the pull of gravity, then the claim that if pentecostal faith is experiential, communitarian, healing and body-involving, then many parents hesitate to discuss alcohol and other drug use with their child does not correspond with reality has no merit, we know that if walls consist of mucous membranes, then evergreen trees require little or no pruning. Given that the claim that if animal bodies are constructed to com- pensate for the pull of gravity, then the claim that if pentecostal faith is experiential, communitarian, healing and body-involving, then many parents hesitate to discuss alcohol and other drug use with their child does not correspond with reality has no merit, it can be inferred that the claim that if walls consist of mucous membranes, then evergreen trees require little or no pruning is false.
|
It is reasonable to believe that most platypuses eat grubs.
|
It is not true that most platypuses eat grubs.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].). [SC1-1]
If (Not [0].), then (Not (If [1], then [2].).). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [4], then [5].), then (If (Not [0].), then (If [1], then [2].).).
If [4], then [5]. [SC2-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC2-2]
Disjunction Elimination:
Either [12] or [13].
If [12], then (If [4], then [5].).
If [13], then (If [4], then [5].).
Therefore, If [4], then [5]..
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then [3]. [SC1-2]
If [3], then (Not (If [1], then [2].).). [SC2-2]
Therefore, If (Not [0].), then (Not (If [1], then [2].).)..
[SC1-2]
Disjunction Elimination:
Either (If [6], then [7].) or (If [8], then [9].).
If (If [6], then [7].), then (If (Not [0].), then [3].).
If (If [8], then [9].), then (If (Not [0].), then [3].).
Therefore, If (Not [0].), then [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Not (If [1], then [2].).).).), then (If [10], then [11].).
If (Not (If [3], then (Not (If [1], then [2].).).).), then (Not (If [10], then [11].).).
Therefore, If [3], then (Not (If [1], then [2].).)..
|
{0: 'Most platypuses eat grubs.', 1: 'Pentecostal faith is experiential, communitarian, healing and body-involving.', 2: 'Many parents hesitate to discuss alcohol and other drug use with their child.', 3: 'Animal bodies are constructed to com- pensate for the pull of gravity.', 4: 'Victorians are people.', 5: 'Reggae music is very popular, underground, in America.', 6: 'Dugongs are found in the shallow protected areas.', 7: 'Calcium is important for normal blood clotting, which is essential for wound healing.', 8: 'Fishing is done on just about every body of water.', 9: 'Organizations require attention.', 10: 'Walls consist of mucous membranes.', 11: 'Evergreen trees require little or no pruning.', 12: 'Section isa object.', 13: 'Most trees die during the winter.'}
| 6 |
5,165 |
['The statement, either pillow lavas can also form when flows enter a river or lake or lead exposure can also result from lead crystal and poorly glazed ceramic dishware, does not hold.', 'Given that if riders have (part) plasma membranes, then patients diagnose with rare diseases, it can be inferred that seedlings develop leaves.', "On the condition that seedlings develop leaves, it is definitely the case that either either pillow lavas can also form when flows enter a river or lake or lead exposure can also result from lead crystal and poorly glazed ceramic dishware or the notion that 'enzymes damage membranes' is untrue.", 'Once we know either positive emotions speed recovery from the cardiovascular sequelae of negative emotions or meters have (part) centimeters, we also know that if riders have (part) plasma membranes, then patients diagnose with rare diseases.', 'Should it be the case that prostaglandin causes the muscle tissue of the mother to push the fetus out of the uterus, it follows that either either positive emotions speed recovery from the cardiovascular sequelae of negative emotions or meters have (part) centimeters or sexual dysfunction resulting from the treatment of testicular cancer is rare.', 'It is a simple truth that prostaglandin causes the muscle tissue of the mother to push the fetus out of the uterus.', "So long as the claim that if sexual dysfunction resulting from the treatment of testicular cancer is rare, then if riders have (part) plasma membranes, then patients diagnose with rare diseases does not reflect reality, 'weasels have diets' is true.", 'Some people mistakenly believe that weasels have diets.']
|
The statement, either pillow lavas can also form when flows enter a river or lake or lead exposure can also result from lead crystal and poorly glazed ceramic dishware, does not hold. Given that if riders have (part) plasma membranes, then patients diagnose with rare diseases, it can be inferred that seedlings develop leaves. On the condition that seedlings develop leaves, it is definitely the case that either either pillow lavas can also form when flows enter a river or lake or lead exposure can also result from lead crystal and poorly glazed ceramic dishware or the notion that 'enzymes damage membranes' is untrue. Once we know either positive emotions speed recovery from the cardiovascular sequelae of negative emotions or meters have (part) centimeters, we also know that if riders have (part) plasma membranes, then patients diagnose with rare diseases. Should it be the case that prostaglandin causes the muscle tissue of the mother to push the fetus out of the uterus, it follows that either either positive emotions speed recovery from the cardiovascular sequelae of negative emotions or meters have (part) centimeters or sexual dysfunction resulting from the treatment of testicular cancer is rare. It is a simple truth that prostaglandin causes the muscle tissue of the mother to push the fetus out of the uterus. So long as the claim that if sexual dysfunction resulting from the treatment of testicular cancer is rare, then if riders have (part) plasma membranes, then patients diagnose with rare diseases does not reflect reality, 'weasels have diets' is true. Some people mistakenly believe that weasels have diets.
|
The notion that 'enzymes damage membranes' is untrue.
|
The notion that 'enzymes damage membranes' is untrue.
|
TRUE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or (Not [0].). [SC1-1]
Not (Either [1] or [2].).
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (If [3], then [4].), then (Either (Either [1] or [2].) or (Not [0].).). [SC1-2]
If [3], then [4]. [SC2-2]
Therefore, Either (Either [1] or [2].) or (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If (If [3], then [4].), then [5].
If [5], then (Either (Either [1] or [2].) or (Not [0].).).
Therefore, If (If [3], then [4].), then (Either (Either [1] or [2].) or (Not [0].).)..
[SC2-2]
Disjunction Elimination:
Either (Either [6] or [7].) or [8]. [SC1-3]
If (Either [6] or [7].), then (If [3], then [4].).
If [8], then (If [3], then [4].). [SC3-3]
Therefore, If [3], then [4]..
[SC1-3]
Modus Ponens:
If [10], then (Either (Either [6] or [7].) or [8].).
[10]
Therefore, Either (Either [6] or [7].) or [8]..
[SC3-3]
Modus Tonens:
If (Not (If [8], then (If [3], then [4].).).), then [9].
Not [9].
Therefore, If [8], then (If [3], then [4].)..
|
{0: 'Enzymes damage membranes.', 1: 'Pillow lavas can also form when flows enter a river or lake.', 2: 'Lead exposure can also result from lead crystal and poorly glazed ceramic dishware.', 3: 'Riders have (part) plasma membranes.', 4: 'Patients diagnose with rare diseases.', 5: 'Seedlings develop leaves.', 6: 'Positive emotions speed recovery from the cardiovascular sequelae of negative emotions.', 7: 'Meters have (part) centimeters.', 8: 'Sexual dysfunction resulting from the treatment of testicular cancer is rare.', 9: 'Weasels have diets.', 10: 'Prostaglandin causes the muscle tissue of the mother to push the fetus out of the uterus.'}
| 6 |
5,238 |
["We know that at least one of two things is true: every cell has two long flagella, or rigidity is caused by a patient's muscles being continuously contracted.", 'On the condition that every cell has two long flagella, it is definitely the case that some species parasitize only mature fish, while others parasitize only immature fish.', "One may reasonably assume that if the claim that if the claim that if rigidity is caused by a patient's muscles being continuously contracted, then some species parasitize only mature fish, while others parasitize only immature fish has no merit, then all birds hatch from eggs is false, then the statement that states sand cats are nocturnal, resting by day in burrows that theydig or modify is false.", "There is good reason to believe that either animals are competitive, especially when it comes to playground games or if the claim that if rigidity is caused by a patient's muscles being continuously contracted, then some species parasitize only mature fish, while others parasitize only immature fish has no merit, then we know that the claim that all birds hatch from eggs is false.", "One may reasonably assume that if the statement that states if the claim that if the claim that if rigidity is caused by a patient's muscles being continuously contracted, then some species parasitize only mature fish, while others parasitize only immature fish has no merit, then all birds hatch from eggs is false, then sand cats are nocturnal, resting by day in burrows that theydig or modify is false, then if hands go cold when wet or chilled, then a cruiser is a military vehicle.", "Whenever it is true that the statement that states if the claim that if the claim that if rigidity is caused by a patient's muscles being continuously contracted, then some species parasitize only mature fish, while others parasitize only immature fish has no merit, then all birds hatch from eggs is false, then sand cats are nocturnal, resting by day in burrows that theydig or modify is false, 'the statement that 'if hands go cold when wet or chilled, then a cruiser is a military vehicle' is incorrect' is true.", "So long as animals are competitive, especially when it comes to playground games, 'cougars are an endangered species due to loss of habitat and over-hunting by man' is true.", "The notion that 'cougars are an endangered species due to loss of habitat and over-hunting by man' is untrue."]
|
We know that at least one of two things is true: every cell has two long flagella, or rigidity is caused by a patient's muscles being continuously contracted. On the condition that every cell has two long flagella, it is definitely the case that some species parasitize only mature fish, while others parasitize only immature fish. One may reasonably assume that if the claim that if the claim that if rigidity is caused by a patient's muscles being continuously contracted, then some species parasitize only mature fish, while others parasitize only immature fish has no merit, then all birds hatch from eggs is false, then the statement that states sand cats are nocturnal, resting by day in burrows that theydig or modify is false. There is good reason to believe that either animals are competitive, especially when it comes to playground games or if the claim that if rigidity is caused by a patient's muscles being continuously contracted, then some species parasitize only mature fish, while others parasitize only immature fish has no merit, then we know that the claim that all birds hatch from eggs is false. One may reasonably assume that if the statement that states if the claim that if the claim that if rigidity is caused by a patient's muscles being continuously contracted, then some species parasitize only mature fish, while others parasitize only immature fish has no merit, then all birds hatch from eggs is false, then sand cats are nocturnal, resting by day in burrows that theydig or modify is false, then if hands go cold when wet or chilled, then a cruiser is a military vehicle. Whenever it is true that the statement that states if the claim that if the claim that if rigidity is caused by a patient's muscles being continuously contracted, then some species parasitize only mature fish, while others parasitize only immature fish has no merit, then all birds hatch from eggs is false, then sand cats are nocturnal, resting by day in burrows that theydig or modify is false, 'the statement that 'if hands go cold when wet or chilled, then a cruiser is a military vehicle' is incorrect' is true. So long as animals are competitive, especially when it comes to playground games, 'cougars are an endangered species due to loss of habitat and over-hunting by man' is true. The notion that 'cougars are an endangered species due to loss of habitat and over-hunting by man' is untrue.
|
It is fair to say that some species parasitize only mature fish, while others parasitize only immature fish.
|
Some species are solitary, some gather in giant groups to mate.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [3]. [SC1-2]
If (Not (If [2], then [0].).), then (Not [3].). [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then [0].).), then [3].).), then [5]. [SC1-3]
If (Not (If (Not (If [2], then [0].).), then [3].).), then (Not [5].).
Therefore, If (Not (If [2], then [0].).), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If [2], then [0].).), then [3].).), then [5].).), then (If [6], then [7].).
If (Not (If (Not (If (Not (If [2], then [0].).), then [3].).), then [5].).), then (Not (If [6], then [7].).).
Therefore, If (Not (If (Not (If [2], then [0].).), then [3].).), then [5]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If [2], then [0].).), then (Not [3].).).
Not [4]. [SC2-3]
Therefore, If (Not (If [2], then [0].).), then (Not [3].)..
[SC2-3]
Modus Tonens:
If [4], then [8].
Not [8].
Therefore, Not [4]..
|
{0: 'Some species parasitize only mature fish, while others parasitize only immature fish.', 1: 'Every cell has two long flagella.', 2: "Rigidity is caused by a patient's muscles being continuously contracted.", 3: 'All birds hatch from eggs.', 4: 'Animals are competitive, especially when it comes to playground games.', 5: 'Sand cats are nocturnal, resting by day in burrows that theydig or modify.', 6: 'Hands go cold when wet or chilled.', 7: 'A cruiser is a military vehicle.', 8: 'Cougars are an endangered species due to loss of habitat and over-hunting by man.'}
| 6 |
5,188 |
["Whenever it is true that the statement that states visual stimulation plays a major role in perception and guidance of behaviors is false, 'either bathing can consume an enormous amount of water or frogs have legs' is true.", 'We know that either infantile colic is benign paroxysmal abdominal pain during the first three months of life or temperature is a measure of the energy of random motion in the molecules of a substance.', 'When infantile colic is benign paroxysmal abdominal pain during the first three months of life is true, it follows that if either bathing can consume an enormous amount of water or frogs have legs, then sleep is a cyclical process.', 'Given that temperature is a measure of the energy of random motion in the molecules of a substance, it can be inferred that if either bathing can consume an enormous amount of water or frogs have legs, then sleep is a cyclical process.', 'On the condition that if groups are objects that relate to one another in some way, then most capillaries are surrounded by blood capillaries, it is definitely the case that if either bathing can consume an enormous amount of water or frogs have legs, then it is not true that sleep is a cyclical process.', 'One may reasonably assume that if chlorinated water dries out the ear canal, allowing bacteria or fungi to enter the skin, then either if groups are objects that relate to one another in some way, then most capillaries are surrounded by blood capillaries or some pests transmit diseases that interfere with the normal growth and development of plants.', 'It is a simple truth that chlorinated water dries out the ear canal, allowing bacteria or fungi to enter the skin.', 'One may reasonably assume that if the claim that if some pests transmit diseases that interfere with the normal growth and development of plants, then if either bathing can consume an enormous amount of water or frogs have legs, then it is not true that sleep is a cyclical process does not correspond with reality, then a peace lily is a flower.', "The notion that 'a peace lily is a flower' is untrue."]
|
Whenever it is true that the statement that states visual stimulation plays a major role in perception and guidance of behaviors is false, 'either bathing can consume an enormous amount of water or frogs have legs' is true. We know that either infantile colic is benign paroxysmal abdominal pain during the first three months of life or temperature is a measure of the energy of random motion in the molecules of a substance. When infantile colic is benign paroxysmal abdominal pain during the first three months of life is true, it follows that if either bathing can consume an enormous amount of water or frogs have legs, then sleep is a cyclical process. Given that temperature is a measure of the energy of random motion in the molecules of a substance, it can be inferred that if either bathing can consume an enormous amount of water or frogs have legs, then sleep is a cyclical process. On the condition that if groups are objects that relate to one another in some way, then most capillaries are surrounded by blood capillaries, it is definitely the case that if either bathing can consume an enormous amount of water or frogs have legs, then it is not true that sleep is a cyclical process. One may reasonably assume that if chlorinated water dries out the ear canal, allowing bacteria or fungi to enter the skin, then either if groups are objects that relate to one another in some way, then most capillaries are surrounded by blood capillaries or some pests transmit diseases that interfere with the normal growth and development of plants. It is a simple truth that chlorinated water dries out the ear canal, allowing bacteria or fungi to enter the skin. One may reasonably assume that if the claim that if some pests transmit diseases that interfere with the normal growth and development of plants, then if either bathing can consume an enormous amount of water or frogs have legs, then it is not true that sleep is a cyclical process does not correspond with reality, then a peace lily is a flower. The notion that 'a peace lily is a flower' is untrue.
|
It is fair to say that visual stimulation plays a major role in perception and guidance of behaviors.
|
Visual stimulation affects the perception of voluntary leg movement during walking.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].).
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Either [1] or [2].), then [3]. [SC1-2]
If (Either [1] or [2].), then (Not [3].). [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Either [1] or [2].), then [3].).
If [8], then (If (Either [1] or [2].), then [3].).
Therefore, If (Either [1] or [2].), then [3]..
[SC2-2]
Disjunction Elimination:
Either (If [4], then [5].) or [6]. [SC1-3]
If (If [4], then [5].), then (If (Either [1] or [2].), then (Not [3].).).
If [6], then (If (Either [1] or [2].), then (Not [3].).). [SC3-3]
Therefore, If (Either [1] or [2].), then (Not [3].)..
[SC1-3]
Modus Ponens:
If [9], then (Either (If [4], then [5].) or [6].).
[9]
Therefore, Either (If [4], then [5].) or [6]..
[SC3-3]
Modus Tonens:
If (Not (If [6], then (If (Either [1] or [2].), then (Not [3].).).).), then [10].
Not [10].
Therefore, If [6], then (If (Either [1] or [2].), then (Not [3].).)..
|
{0: 'Visual stimulation plays a major role in perception and guidance of behaviors.', 1: 'Bathing can consume an enormous amount of water.', 2: 'Frogs have legs.', 3: 'Sleep is a cyclical process.', 4: 'Groups are objects that relate to one another in some way.', 5: 'Most capillaries are surrounded by blood capillaries.', 6: 'Some pests transmit diseases that interfere with the normal growth and development of plants.', 7: 'Infantile colic is benign paroxysmal abdominal pain during the first three months of life.', 8: 'Temperature is a measure of the energy of random motion in the molecules of a substance.', 9: 'Chlorinated water dries out the ear canal, allowing bacteria or fungi to enter the skin.', 10: 'A peace lily is a flower.'}
| 6 |
5,685 |
['Should it be the case that if bulbuls are birds, then parents are responsible for the behavior of their children, it follows that either cancer cells are neoplastic cells or all dinosaurs are extinct.', 'Assuming sobriety is the moderation of our affections in the pursuit and use of earthly things, we know that either cancer cells are neoplastic cells or all dinosaurs are extinct.', 'One may reasonably assume that if saturation is the overall amount of color being applied, then sobriety is the moderation of our affections in the pursuit and use of earthly things.', "So long as if dalmatian puppies are pure white when they're born, then platinum is much more than a precious metal, 'swans have pure white feathers' is true.", 'Assuming carnivores are animals that eat only other animals, we know that saturation is the overall amount of color being applied.', 'It is a fact that either either birds visit trees or reason is explanations or vitamins are essential to our nutritional needs.', 'When either birds visit trees or reason is explanations is true, it follows that if swans have pure white feathers, then if bulbuls are birds, then parents are responsible for the behavior of their children.', 'If vitamins are essential to our nutritional needs, then if swans have pure white feathers, then if bulbuls are birds, then parents are responsible for the behavior of their children.', "One may reasonably assume that if sheep share grass, then either if dalmatian puppies are pure white when they're born, then platinum is much more than a precious metal or carnivores are animals that eat only other animals.", "Whenever it is true that the notion that 'sheep share grass' is untrue, 'astronomers have ideas' is true.", "Given that the notion that 'sheep share grass' is untrue, it can be inferred that the statement that states astronomers have ideas is false."]
|
Should it be the case that if bulbuls are birds, then parents are responsible for the behavior of their children, it follows that either cancer cells are neoplastic cells or all dinosaurs are extinct. Assuming sobriety is the moderation of our affections in the pursuit and use of earthly things, we know that either cancer cells are neoplastic cells or all dinosaurs are extinct. One may reasonably assume that if saturation is the overall amount of color being applied, then sobriety is the moderation of our affections in the pursuit and use of earthly things. So long as if dalmatian puppies are pure white when they're born, then platinum is much more than a precious metal, 'swans have pure white feathers' is true. Assuming carnivores are animals that eat only other animals, we know that saturation is the overall amount of color being applied. It is a fact that either either birds visit trees or reason is explanations or vitamins are essential to our nutritional needs. When either birds visit trees or reason is explanations is true, it follows that if swans have pure white feathers, then if bulbuls are birds, then parents are responsible for the behavior of their children. If vitamins are essential to our nutritional needs, then if swans have pure white feathers, then if bulbuls are birds, then parents are responsible for the behavior of their children. One may reasonably assume that if sheep share grass, then either if dalmatian puppies are pure white when they're born, then platinum is much more than a precious metal or carnivores are animals that eat only other animals. Whenever it is true that the notion that 'sheep share grass' is untrue, 'astronomers have ideas' is true. Given that the notion that 'sheep share grass' is untrue, it can be inferred that the statement that states astronomers have ideas is false.
|
At least one of two things is true: cancer cells are neoplastic cells, or all dinosaurs are extinct.
|
It is a common misconception that either cancer cells are neoplastic cells or all dinosaurs are extinct.
|
FALSE
|
Disjunction Elimination:
Either (If [2], then [3].) or [4]. [SC1-1]
If (If [2], then [3].), then (Either [0] or [1].).
If [4], then (Either [0] or [1].).
Therefore, Either [0] or [1]..
[SC1-1]
Constructive Dilemma:
Either [5] or [6]. [SC1-2]
If [5], then (If [2], then [3].). [SC2-2]
If [6], then [4].
Therefore, Either (If [2], then [3].) or [4]..
[SC1-2]
Constructive Dilemma:
Either (If [7], then [8].) or [9]. [SC1-3]
If (If [7], then [8].), then [5].
If [9], then [6].
Therefore, Either [5] or [6]..
[SC1-3]
Modus Ponens:
If [13], then (Either (If [7], then [8].) or [9].).
[13] [SC2-4]
Therefore, Either (If [7], then [8].) or [9]..
[SC2-4]
Reductio Ad Absurdum:
If (Not [13].), then [14].
If (Not [13].), then (Not [14].).
Therefore, [13].
[SC2-2]
Disjunction Elimination:
Either (Either [10] or [11].) or [12].
If (Either [10] or [11].), then (If [5], then (If [2], then [3].).).
If [12], then (If [5], then (If [2], then [3].).).
Therefore, If [5], then (If [2], then [3].)..
|
{0: 'Cancer cells are neoplastic cells.', 1: 'All dinosaurs are extinct.', 2: 'Bulbuls are birds.', 3: 'Parents are responsible for the behavior of their children.', 4: 'Sobriety is the moderation of our affections in the pursuit and use of earthly things.', 5: 'Swans have pure white feathers.', 6: 'Saturation is the overall amount of color being applied.', 7: "Dalmatian puppies are pure white when they're born.", 8: 'Platinum is much more than a precious metal.', 9: 'Carnivores are animals that eat only other animals.', 10: 'Birds visit trees.', 11: 'Reason is explanations.', 12: 'Vitamins are essential to our nutritional needs.', 13: 'Sheep share grass.', 14: 'Astronomers have ideas.'}
| 6 |
5,803 |
['On the condition that it is not true that either fields are the basic units of information in a database or either moths die soon after mating and egg laying or decagons are among the regular polygons that can be inscribed in a given circle, it is definitely the case that gallium arsenide is used as a laser material that changes electricity directly into light.', "If it is not true that either fields are the basic units of information in a database or either moths die soon after mating and egg laying or decagons are among the regular polygons that can be inscribed in a given circle, then the statement that 'gallium arsenide is used as a laser material that changes electricity directly into light' is incorrect.", 'Those that suggest either babies prefer taste or all forests have many species other than commercial timber species are wrong.', 'It is a fact that either electric components can overheat and cause fires or conflict is a constant part of life and it is also a major part of relationships.', 'Given that electric components can overheat and cause fires, it can be inferred that symbols are important vehicles to impart socio-political or spiritual information in any society.', 'Given that conflict is a constant part of life and it is also a major part of relationships, it can be inferred that if fields are the basic units of information in a database, then either babies prefer taste or all forests have many species other than commercial timber species.', "So long as symbols are important vehicles to impart socio-political or spiritual information in any society, 'unproductive labor is that which is only necessary to the capitalist system' is true.", 'It is a common misconception that unproductive labor is that which is only necessary to the capitalist system.']
|
On the condition that it is not true that either fields are the basic units of information in a database or either moths die soon after mating and egg laying or decagons are among the regular polygons that can be inscribed in a given circle, it is definitely the case that gallium arsenide is used as a laser material that changes electricity directly into light. If it is not true that either fields are the basic units of information in a database or either moths die soon after mating and egg laying or decagons are among the regular polygons that can be inscribed in a given circle, then the statement that 'gallium arsenide is used as a laser material that changes electricity directly into light' is incorrect. Those that suggest either babies prefer taste or all forests have many species other than commercial timber species are wrong. It is a fact that either electric components can overheat and cause fires or conflict is a constant part of life and it is also a major part of relationships. Given that electric components can overheat and cause fires, it can be inferred that symbols are important vehicles to impart socio-political or spiritual information in any society. Given that conflict is a constant part of life and it is also a major part of relationships, it can be inferred that if fields are the basic units of information in a database, then either babies prefer taste or all forests have many species other than commercial timber species. So long as symbols are important vehicles to impart socio-political or spiritual information in any society, 'unproductive labor is that which is only necessary to the capitalist system' is true. It is a common misconception that unproductive labor is that which is only necessary to the capitalist system.
|
There is good reason to believe that either moths die soon after mating and egg laying or decagons are among the regular polygons that can be inscribed in a given circle.
|
There is good reason to believe that either moths die soon after mating and egg laying or decagons are among the regular polygons that can be inscribed in a given circle.
|
TRUE
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [2] or (Either [0] or [1].).).), then [5].
If (Not (Either [2] or (Either [0] or [1].).).), then (Not [5].).
Therefore, Either [2] or (Either [0] or [1].)..
[SC2-1]
Modus Tonens:
If [2], then (Either [3] or [4].). [SC1-2]
Not (Either [3] or [4].).
Therefore, Not [2]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If [2], then (Either [3] or [4].).). [SC1-3]
Not [6]. [SC2-3]
Therefore, If [2], then (Either [3] or [4].)..
[SC1-3]
Constructive Dilemma:
Either [8] or [9].
If [8], then [6].
If [9], then (If [2], then (Either [3] or [4].).).
Therefore, Either [6] or (If [2], then (Either [3] or [4].).)..
[SC2-3]
Modus Tonens:
If [6], then [7].
Not [7].
Therefore, Not [6]..
|
{0: 'Moths die soon after mating and egg laying.', 1: 'Decagons are among the regular polygons that can be inscribed in a given circle.', 2: 'Fields are the basic units of information in a database.', 3: 'Babies prefer taste.', 4: 'All forests have many species other than commercial timber species.', 5: 'Gallium arsenide is used as a laser material that changes electricity directly into light.', 6: 'Symbols are important vehicles to impart socio-political or spiritual information in any society.', 7: 'Unproductive labor is that which is only necessary to the capitalist system.', 8: 'Electric components can overheat and cause fires.', 9: 'Conflict is a constant part of life and it is also a major part of relationships.'}
| 6 |
5,344 |
['Given that it is not the case that some people can identify bird calls, it can be inferred that building materials can also release toxic chemicals to the indoor environment.', 'We know that either pupae occur in silk-like cocoons in the soil or wetlands protect our homes from floods.', 'Once we know wetlands protect our homes from floods, we also know that it is not true that building materials can also release toxic chemicals to the indoor environment.', 'Some people mistakenly believe that if nude bathing is frowned upon in Mexico, then social wasps live in colonies.', 'It is rational to believe that either if parakeets have (part) plasma membranes, then volcano kills trees by toxic gasses or either reptiles have a scaly skin that is resistant to drying or earwigs are most active at night and are attracted to lights.', 'Given that if parakeets have (part) plasma membranes, then volcano kills trees by toxic gasses, it can be inferred that swing dancing continues to be popular, leading to the development of the big band sound.', 'On the condition that either reptiles have a scaly skin that is resistant to drying or earwigs are most active at night and are attracted to lights, it is definitely the case that if it is not the case that if pupae occur in silk-like cocoons in the soil, then it is not true that building materials can also release toxic chemicals to the indoor environment, then if nude bathing is frowned upon in Mexico, then social wasps live in colonies.', 'Either if static postures affect various parts of the body, then ducks have (part) cell membranes or most healthy diets consist of plants.', 'Given that if static postures affect various parts of the body, then ducks have (part) cell membranes, it can be inferred that the statement, swing dancing continues to be popular, leading to the development of the big band sound, does not hold.', 'Assuming most healthy diets consist of plants, we know that the statement, swing dancing continues to be popular, leading to the development of the big band sound, does not hold.']
|
Given that it is not the case that some people can identify bird calls, it can be inferred that building materials can also release toxic chemicals to the indoor environment. We know that either pupae occur in silk-like cocoons in the soil or wetlands protect our homes from floods. Once we know wetlands protect our homes from floods, we also know that it is not true that building materials can also release toxic chemicals to the indoor environment. Some people mistakenly believe that if nude bathing is frowned upon in Mexico, then social wasps live in colonies. It is rational to believe that either if parakeets have (part) plasma membranes, then volcano kills trees by toxic gasses or either reptiles have a scaly skin that is resistant to drying or earwigs are most active at night and are attracted to lights. Given that if parakeets have (part) plasma membranes, then volcano kills trees by toxic gasses, it can be inferred that swing dancing continues to be popular, leading to the development of the big band sound. On the condition that either reptiles have a scaly skin that is resistant to drying or earwigs are most active at night and are attracted to lights, it is definitely the case that if it is not the case that if pupae occur in silk-like cocoons in the soil, then it is not true that building materials can also release toxic chemicals to the indoor environment, then if nude bathing is frowned upon in Mexico, then social wasps live in colonies. Either if static postures affect various parts of the body, then ducks have (part) cell membranes or most healthy diets consist of plants. Given that if static postures affect various parts of the body, then ducks have (part) cell membranes, it can be inferred that the statement, swing dancing continues to be popular, leading to the development of the big band sound, does not hold. Assuming most healthy diets consist of plants, we know that the statement, swing dancing continues to be popular, leading to the development of the big band sound, does not hold.
|
It is a simple truth that some people can identify bird calls.
|
Some people think REAL power is taking a gun and killing someone.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].).
Therefore, Not [1]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (Not [1].).).), then (If [4], then [5].). [SC1-3]
Not (If [4], then [5].).
Therefore, If [2], then (Not [1].)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If (Not (If [2], then (Not [1].).).), then (If [4], then [5].).). [SC1-4]
Not [6]. [SC2-4]
Therefore, If (Not (If [2], then (Not [1].).).), then (If [4], then [5].)..
[SC1-4]
Constructive Dilemma:
Either (If [10], then [11].) or (Either [12] or [13].).
If (If [10], then [11].), then [6].
If (Either [12] or [13].), then (If (Not (If [2], then (Not [1].).).), then (If [4], then [5].).).
Therefore, Either [6] or (If (Not (If [2], then (Not [1].).).), then (If [4], then [5].).)..
[SC2-4]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (Not [6].).
If [9], then (Not [6].).
Therefore, Not [6]..
|
{0: 'Some people can identify bird calls.', 1: 'Building materials can also release toxic chemicals to the indoor environment.', 2: 'Pupae occur in silk-like cocoons in the soil.', 3: 'Wetlands protect our homes from floods.', 4: 'Nude bathing is frowned upon in Mexico.', 5: 'Social wasps live in colonies.', 6: 'Swing dancing continues to be popular, leading to the development of the big band sound.', 7: 'Static postures affect various parts of the body.', 8: 'Ducks have (part) cell membranes.', 9: 'Most healthy diets consist of plants.', 10: 'Parakeets have (part) plasma membranes.', 11: 'Volcano kills trees by toxic gasses.', 12: 'Reptiles have a scaly skin that is resistant to drying.', 13: 'Earwigs are most active at night and are attracted to lights.'}
| 6 |
5,741 |
['There is good reason to believe that either fish is mainly low in saturated fat, the fat which tends to raise blood cholesterol or a dowel is a fixing.', 'Provided that fish is mainly low in saturated fat, the fat which tends to raise blood cholesterol, we know that bonds are a loan and stocks are ownership.', 'Provided that some condensers use water to cool the refrigerant rather than air, we know that it is a common misconception that bonds are a loan and stocks are ownership.', 'The claim that some condensers use water to cool the refrigerant rather than air holds true.', 'Some people mistakenly believe that prefer habitats include woodlands.', 'Once we know water aerobics is a fun cardiovascular workout that helps improve muscle tone, we also know that prefer habitats include woodlands.', "Should it be the case that the statement 'if a dowel is a fixing, then if spring is the time of the budding, the time of the beginning of the new growth of the produce, then fish is a rich source of low-fat protein and is full of fatty acids known to lower cholesterol' can be considered false, it follows that theaters have (part) interior doors.", "So long as theaters have (part) interior doors, 'water aerobics is a fun cardiovascular workout that helps improve muscle tone' is true."]
|
There is good reason to believe that either fish is mainly low in saturated fat, the fat which tends to raise blood cholesterol or a dowel is a fixing. Provided that fish is mainly low in saturated fat, the fat which tends to raise blood cholesterol, we know that bonds are a loan and stocks are ownership. Provided that some condensers use water to cool the refrigerant rather than air, we know that it is a common misconception that bonds are a loan and stocks are ownership. The claim that some condensers use water to cool the refrigerant rather than air holds true. Some people mistakenly believe that prefer habitats include woodlands. Once we know water aerobics is a fun cardiovascular workout that helps improve muscle tone, we also know that prefer habitats include woodlands. Should it be the case that the statement 'if a dowel is a fixing, then if spring is the time of the budding, the time of the beginning of the new growth of the produce, then fish is a rich source of low-fat protein and is full of fatty acids known to lower cholesterol' can be considered false, it follows that theaters have (part) interior doors. So long as theaters have (part) interior doors, 'water aerobics is a fun cardiovascular workout that helps improve muscle tone' is true.
|
One may reasonably assume that if spring is the time of the budding, the time of the beginning of the new growth of the produce, then fish is a rich source of low-fat protein and is full of fatty acids known to lower cholesterol.
|
One may reasonably assume that if spring is the time of the budding, the time of the beginning of the new growth of the produce, then fish is a rich source of low-fat protein and is full of fatty acids known to lower cholesterol.
|
TRUE
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Constructive Dilemma:
Either [4] or [5].
If [4], then [2].
If [5], then (If [0], then [1].). [SC3-2]
Therefore, Either [2] or (If [0], then [1].)..
[SC3-2]
Modus Tonens:
If (Not (If [5], then (If [0], then [1].).).), then [6]. [SC1-3]
Not [6].
Therefore, If [5], then (If [0], then [1].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [5], then (If [0], then [1].).).), then [7]. [SC1-4]
If [7], then [6].
Therefore, If (Not (If [5], then (If [0], then [1].).).), then [6]..
[SC1-4]
Hypothetical Syllogism:
If (Not (If [5], then (If [0], then [1].).).), then [8].
If [8], then [7].
Therefore, If (Not (If [5], then (If [0], then [1].).).), then [7]..
[SC2-1]
Modus Ponens:
If [3], then (Not [2].).
[3]
Therefore, Not [2]..
|
{0: 'Spring is the time of the budding, the time of the beginning of the new growth of the produce.', 1: 'Fish is a rich source of low-fat protein and is full of fatty acids known to lower cholesterol.', 2: 'Bonds are a loan and stocks are ownership.', 3: 'Some condensers use water to cool the refrigerant rather than air.', 4: 'Fish is mainly low in saturated fat, the fat which tends to raise blood cholesterol.', 5: 'A dowel is a fixing.', 6: 'Prefer habitats include woodlands.', 7: 'Water aerobics is a fun cardiovascular workout that helps improve muscle tone.', 8: 'Theaters have (part) interior doors.'}
| 6 |
5,453 |
['Either paper towels are to be used for drying hands or performance is located in theatres.', 'If either recycling reduces air and water pollution because the recycling process requires less energy or malicious mischief is destruction, then either if crops are the foods that farmers grow, then justice is more than the fair distribution of material goods or educators are workers.', 'It is rational to believe that either recycling reduces air and water pollution because the recycling process requires less energy or malicious mischief is destruction.', 'Once we know if crops are the foods that farmers grow, then justice is more than the fair distribution of material goods, we also know that smoking affects oral health and overall health.', 'One may reasonably assume that if smoking affects oral health and overall health, then it is a common misconception that paper towels are to be used for drying hands.', "Whenever it is true that the statement, if educators are workers, then it is a common misconception that paper towels are to be used for drying hands, does not hold, 'it is not the case that mental health conditions require medical attention' is true.", 'It is rational to believe that either if darkness is absence of light, then patterns serve to direct eye movement from one part to another or a miotic is a drug.', 'Given that if darkness is absence of light, then patterns serve to direct eye movement from one part to another, it can be inferred that if the statement, if educators are workers, then it is a common misconception that paper towels are to be used for drying hands, does not hold, then mental health conditions require medical attention.', 'When a miotic is a drug is true, it follows that if the statement, if educators are workers, then it is a common misconception that paper towels are to be used for drying hands, does not hold, then mental health conditions require medical attention.']
|
Either paper towels are to be used for drying hands or performance is located in theatres. If either recycling reduces air and water pollution because the recycling process requires less energy or malicious mischief is destruction, then either if crops are the foods that farmers grow, then justice is more than the fair distribution of material goods or educators are workers. It is rational to believe that either recycling reduces air and water pollution because the recycling process requires less energy or malicious mischief is destruction. Once we know if crops are the foods that farmers grow, then justice is more than the fair distribution of material goods, we also know that smoking affects oral health and overall health. One may reasonably assume that if smoking affects oral health and overall health, then it is a common misconception that paper towels are to be used for drying hands. Whenever it is true that the statement, if educators are workers, then it is a common misconception that paper towels are to be used for drying hands, does not hold, 'it is not the case that mental health conditions require medical attention' is true. It is rational to believe that either if darkness is absence of light, then patterns serve to direct eye movement from one part to another or a miotic is a drug. Given that if darkness is absence of light, then patterns serve to direct eye movement from one part to another, it can be inferred that if the statement, if educators are workers, then it is a common misconception that paper towels are to be used for drying hands, does not hold, then mental health conditions require medical attention. When a miotic is a drug is true, it follows that if the statement, if educators are workers, then it is a common misconception that paper towels are to be used for drying hands, does not hold, then mental health conditions require medical attention.
|
The claim that performance is located in theatres holds true.
|
Performance is capable of play.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either (If [2], then [3].) or [4]. [SC1-2]
If (If [2], then [3].), then (Not [1].). [SC2-2]
If [4], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If (Either [6] or [7].), then (Either (If [2], then [3].) or [4].).
Either [6] or [7].
Therefore, Either (If [2], then [3].) or [4]..
[SC2-2]
Hypothetical Syllogism:
If (If [2], then [3].), then [5].
If [5], then (Not [1].).
Therefore, If (If [2], then [3].), then (Not [1].)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [4], then (Not [1].).).), then [8]. [SC1-3]
If (Not (If [4], then (Not [1].).).), then (Not [8].).
Therefore, If [4], then (Not [1].)..
[SC1-3]
Disjunction Elimination:
Either (If [9], then [10].) or [11].
If (If [9], then [10].), then (If (Not (If [4], then (Not [1].).).), then [8].).
If [11], then (If (Not (If [4], then (Not [1].).).), then [8].).
Therefore, If (Not (If [4], then (Not [1].).).), then [8]..
|
{0: 'Performance is located in theatres.', 1: 'Paper towels are to be used for drying hands.', 2: 'Crops are the foods that farmers grow.', 3: 'Justice is more than the fair distribution of material goods.', 4: 'Educators are workers.', 5: 'Smoking affects oral health and overall health.', 6: 'Recycling reduces air and water pollution because the recycling process requires less energy.', 7: 'Malicious mischief is destruction.', 8: 'Mental health conditions require medical attention.', 9: 'Darkness is absence of light.', 10: 'Patterns serve to direct eye movement from one part to another.', 11: 'A miotic is a drug.'}
| 6 |
5,646 |
['There is good reason to believe that either school psychologists tailor their services to the particular needs of each child and each situation or either some people believe that songbirds live in nests or death is the golden key that opens the palace of eternity.', "So long as school psychologists tailor their services to the particular needs of each child and each situation, 'if ice cream can be a refreshing source of calcium during the summer months, then crust forms physical barriers' is true.", 'Once we know either some people believe that songbirds live in nests or death is the golden key that opens the palace of eternity, we also know that if ice cream can be a refreshing source of calcium during the summer months, then crust forms physical barriers.', "If the statement that 'ice cream can be a refreshing source of calcium during the summer months' is incorrect, then agility is essential to success in the current business world.", 'One may reasonably assume that if a peanut butter is paste, then water is the second factor necessary for animals to survive.', "Either one or both of these statements are true: larger size makes it easier for bats to find, or if if a peanut butter is paste, then water is the second factor necessary for animals to survive, then if the statement that 'ice cream can be a refreshing source of calcium during the summer months' is incorrect, then the claim that agility is essential to success in the current business world is false.", 'We know that at least one of two things is true: a cave is a formation, or if copper is used to make electrical wire, coins, and bronze, then sighted people enjoy rich full lives, working, playing and raising families.', "If a cave is a formation, then the notion that 'larger size makes it easier for bats to find' is untrue.", "On the condition that if copper is used to make electrical wire, coins, and bronze, then sighted people enjoy rich full lives, working, playing and raising families, it is definitely the case that the notion that 'larger size makes it easier for bats to find' is untrue."]
|
There is good reason to believe that either school psychologists tailor their services to the particular needs of each child and each situation or either some people believe that songbirds live in nests or death is the golden key that opens the palace of eternity. So long as school psychologists tailor their services to the particular needs of each child and each situation, 'if ice cream can be a refreshing source of calcium during the summer months, then crust forms physical barriers' is true. Once we know either some people believe that songbirds live in nests or death is the golden key that opens the palace of eternity, we also know that if ice cream can be a refreshing source of calcium during the summer months, then crust forms physical barriers. If the statement that 'ice cream can be a refreshing source of calcium during the summer months' is incorrect, then agility is essential to success in the current business world. One may reasonably assume that if a peanut butter is paste, then water is the second factor necessary for animals to survive. Either one or both of these statements are true: larger size makes it easier for bats to find, or if if a peanut butter is paste, then water is the second factor necessary for animals to survive, then if the statement that 'ice cream can be a refreshing source of calcium during the summer months' is incorrect, then the claim that agility is essential to success in the current business world is false. We know that at least one of two things is true: a cave is a formation, or if copper is used to make electrical wire, coins, and bronze, then sighted people enjoy rich full lives, working, playing and raising families. If a cave is a formation, then the notion that 'larger size makes it easier for bats to find' is untrue. On the condition that if copper is used to make electrical wire, coins, and bronze, then sighted people enjoy rich full lives, working, playing and raising families, it is definitely the case that the notion that 'larger size makes it easier for bats to find' is untrue.
|
It is reasonable to believe that crust forms physical barriers.
|
The statement that states crust forms physical barriers is false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or (Either [4] or [5].).
If [3], then (If [1], then [0].).
If (Either [4] or [5].), then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2].
If (Not [1].), then (Not [2].). [SC2-2]
Therefore, [1].
[SC2-2]
Modus Ponens:
If (If [6], then [7].), then (If (Not [1].), then (Not [2].).). [SC1-3]
If [6], then [7].
Therefore, If (Not [1].), then (Not [2].)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (If [6], then [7].), then (If (Not [1].), then (Not [2].).).).
Not [8]. [SC2-4]
Therefore, If (If [6], then [7].), then (If (Not [1].), then (Not [2].).)..
[SC2-4]
Disjunction Elimination:
Either [9] or (If [10], then [11].).
If [9], then (Not [8].).
If (If [10], then [11].), then (Not [8].).
Therefore, Not [8]..
|
{0: 'Crust forms physical barriers.', 1: 'Ice cream can be a refreshing source of calcium during the summer months.', 2: 'Agility is essential to success in the current business world.', 3: 'School psychologists tailor their services to the particular needs of each child and each situation.', 4: 'Some people believe that songbirds live in nests.', 5: 'Death is the golden key that opens the palace of eternity.', 6: 'A peanut butter is paste.', 7: 'Water is the second factor necessary for animals to survive.', 8: 'Larger size makes it easier for bats to find.', 9: 'A cave is a formation.', 10: 'Copper is used to make electrical wire, coins, and bronze.', 11: 'Sighted people enjoy rich full lives, working, playing and raising families.'}
| 6 |
5,830 |
['One may reasonably assume that if lectins are carbohydrate binding glycoproteins found in various pulses, then strong encryption is a tool that enables people and businesses to communicate securely.', 'We know that either either some girls resort to prostitution to raise money or block numbers have nothing to do with geography or if large fluorescence provides artificial lighting, then strong encryption is a tool that enables people and businesses to communicate securely.', 'It is not the case that either some girls resort to prostitution to raise money or block numbers have nothing to do with geography.', 'Assuming some people mistakenly believe that if if storm surge can travel several miles inland, then a sheller is a worker, then either large fluorescence provides artificial lighting or lectins are carbohydrate binding glycoproteins found in various pulses, we know that macaques have (part) rib cages.', 'If some people mistakenly believe that if if storm surge can travel several miles inland, then a sheller is a worker, then either large fluorescence provides artificial lighting or lectins are carbohydrate binding glycoproteins found in various pulses, then some people mistakenly believe that macaques have (part) rib cages.', 'We know that either most turbines drive wind generators or if storm surge can travel several miles inland, then a sheller is a worker.', 'If most turbines drive wind generators, then most reptiles are perceived as slimy , nasty creatures .', "So long as most turbines drive wind generators, 'the claim that most reptiles are perceived as slimy , nasty creatures does not correspond with reality' is true."]
|
One may reasonably assume that if lectins are carbohydrate binding glycoproteins found in various pulses, then strong encryption is a tool that enables people and businesses to communicate securely. We know that either either some girls resort to prostitution to raise money or block numbers have nothing to do with geography or if large fluorescence provides artificial lighting, then strong encryption is a tool that enables people and businesses to communicate securely. It is not the case that either some girls resort to prostitution to raise money or block numbers have nothing to do with geography. Assuming some people mistakenly believe that if if storm surge can travel several miles inland, then a sheller is a worker, then either large fluorescence provides artificial lighting or lectins are carbohydrate binding glycoproteins found in various pulses, we know that macaques have (part) rib cages. If some people mistakenly believe that if if storm surge can travel several miles inland, then a sheller is a worker, then either large fluorescence provides artificial lighting or lectins are carbohydrate binding glycoproteins found in various pulses, then some people mistakenly believe that macaques have (part) rib cages. We know that either most turbines drive wind generators or if storm surge can travel several miles inland, then a sheller is a worker. If most turbines drive wind generators, then most reptiles are perceived as slimy , nasty creatures . So long as most turbines drive wind generators, 'the claim that most reptiles are perceived as slimy , nasty creatures does not correspond with reality' is true.
|
It is rational to agree that strong encryption is a tool that enables people and businesses to communicate securely.
|
Strong encryption is considered crucial to protect electronic privacy in the digital age.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [5], then [6].), then (Either [1] or [2].). [SC1-2]
If [5], then [6]. [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (If [5], then [6].), then (Either [1] or [2].).).), then [7].
If (Not (If (If [5], then [6].), then (Either [1] or [2].).).), then (Not [7].).
Therefore, If (If [5], then [6].), then (Either [1] or [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (If [5], then [6].).
Not [8]. [SC2-3]
Therefore, If [5], then [6]..
[SC2-3]
Reductio Ad Absurdum:
If [8], then [9].
If [8], then (Not [9].).
Therefore, Not [8]..
[SC2-1]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (If [1], then [0].).
Not (Either [3] or [4].).
Therefore, If [1], then [0]..
|
{0: 'Strong encryption is a tool that enables people and businesses to communicate securely.', 1: 'Large fluorescence provides artificial lighting.', 2: 'Lectins are carbohydrate binding glycoproteins found in various pulses.', 3: 'Some girls resort to prostitution to raise money.', 4: 'Block numbers have nothing to do with geography.', 5: 'Storm surge can travel several miles inland.', 6: 'A sheller is a worker.', 7: 'Macaques have (part) rib cages.', 8: 'Most turbines drive wind generators.', 9: 'Most reptiles are perceived as slimy , nasty creatures .'}
| 6 |
5,155 |
['There is good reason to believe that either most species naturally occur on muddy or marshy lake shores and intertidal zones of beaches or biennials live for two years.', 'There is good reason to believe that either interest rates are insensitive to the money supply, and investment is insensitive to interest rates or either if plants are easy to grow and bloom midsummer through fall, then habitat destruction is one of the leading causes for declines for all types of wildlife or if leases are legal forms, then many patients have allergies.', 'It is not true that interest rates are insensitive to the money supply, and investment is insensitive to interest rates.', "Whenever it is true that trainers help goals, 'if either most species naturally occur on muddy or marshy lake shores and intertidal zones of beaches or biennials live for two years, then it is not the case that envelopes are part of balloons' is true.", "Once we know the notion that 'if if leases are legal forms, then many patients have allergies, then if either most species naturally occur on muddy or marshy lake shores and intertidal zones of beaches or biennials live for two years, then it is not the case that envelopes are part of balloons' is untrue, we also know that depression is a medical condition that requires medical treatment.", 'It is not the case that depression is a medical condition that requires medical treatment.', 'At least one of two things is true: either some salamanders ingest small gravel or all pine trees have needles in bundles, or if if plants are easy to grow and bloom midsummer through fall, then habitat destruction is one of the leading causes for declines for all types of wildlife, then trainers help goals.', "The statement that 'either some salamanders ingest small gravel or all pine trees have needles in bundles' is incorrect."]
|
There is good reason to believe that either most species naturally occur on muddy or marshy lake shores and intertidal zones of beaches or biennials live for two years. There is good reason to believe that either interest rates are insensitive to the money supply, and investment is insensitive to interest rates or either if plants are easy to grow and bloom midsummer through fall, then habitat destruction is one of the leading causes for declines for all types of wildlife or if leases are legal forms, then many patients have allergies. It is not true that interest rates are insensitive to the money supply, and investment is insensitive to interest rates. Whenever it is true that trainers help goals, 'if either most species naturally occur on muddy or marshy lake shores and intertidal zones of beaches or biennials live for two years, then it is not the case that envelopes are part of balloons' is true. Once we know the notion that 'if if leases are legal forms, then many patients have allergies, then if either most species naturally occur on muddy or marshy lake shores and intertidal zones of beaches or biennials live for two years, then it is not the case that envelopes are part of balloons' is untrue, we also know that depression is a medical condition that requires medical treatment. It is not the case that depression is a medical condition that requires medical treatment. At least one of two things is true: either some salamanders ingest small gravel or all pine trees have needles in bundles, or if if plants are easy to grow and bloom midsummer through fall, then habitat destruction is one of the leading causes for declines for all types of wildlife, then trainers help goals. The statement that 'either some salamanders ingest small gravel or all pine trees have needles in bundles' is incorrect.
|
It is not the case that envelopes are part of balloons.
|
The statement 'envelopes are part of balloons' is true.
|
FALSE
|
Modus Ponens:
If (Either [1] or [2].), then (Not [0].). [SC1-1]
Either [1] or [2].
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either (If [3], then [4].) or (If [5], then [6].). [SC1-2]
If (If [3], then [4].), then (If (Either [1] or [2].), then (Not [0].).). [SC2-2]
If (If [5], then [6].), then (If (Either [1] or [2].), then (Not [0].).). [SC3-2]
Therefore, If (Either [1] or [2].), then (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [9] or (Either (If [3], then [4].) or (If [5], then [6].).).
Not [9].
Therefore, Either (If [3], then [4].) or (If [5], then [6].)..
[SC2-2]
Hypothetical Syllogism:
If (If [3], then [4].), then [7]. [SC1-3]
If [7], then (If (Either [1] or [2].), then (Not [0].).).
Therefore, If (If [3], then [4].), then (If (Either [1] or [2].), then (Not [0].).)..
[SC1-3]
Disjunctive Syllogism:
Either (Either [10] or [11].) or (If (If [3], then [4].), then [7].).
Not (Either [10] or [11].).
Therefore, If (If [3], then [4].), then [7]..
[SC3-2]
Modus Tonens:
If (Not (If (If [5], then [6].), then (If (Either [1] or [2].), then (Not [0].).).).), then [8].
Not [8].
Therefore, If (If [5], then [6].), then (If (Either [1] or [2].), then (Not [0].).)..
|
{0: 'Envelopes are part of balloons.', 1: 'Most species naturally occur on muddy or marshy lake shores and intertidal zones of beaches.', 2: 'Biennials live for two years.', 3: 'Plants are easy to grow and bloom midsummer through fall.', 4: 'Habitat destruction is one of the leading causes for declines for all types of wildlife.', 5: 'Leases are legal forms.', 6: 'Many patients have allergies.', 7: 'Trainers help goals.', 8: 'Depression is a medical condition that requires medical treatment.', 9: 'Interest rates are insensitive to the money supply, and investment is insensitive to interest rates.', 10: 'Some salamanders ingest small gravel.', 11: 'All pine trees have needles in bundles.'}
| 6 |
5,487 |
['Assuming the claim that counties are located in states is false, we know that katydids are native to the United States from the East Coast to Nebraska.', 'It is the case that a cowboy boot is a boot.', 'We know that either earwigs have (part) cells or financial management is the key to managing solvency.', 'Assuming financial management is the key to managing solvency, we know that if a cowboy boot is a boot, then if the claim that counties are located in states is false, then the claim that katydids are native to the United States from the East Coast to Nebraska is false.', 'Either social breakdowns have deeper roots than hunger, frustration or anger or if earwigs have (part) cells, then eiders are colonial breeders.', 'The claim that social breakdowns have deeper roots than hunger, frustration or anger does not reflect reality.', "If the notion that 'if eiders are colonial breeders, then if a cowboy boot is a boot, then if the claim that counties are located in states is false, then the claim that katydids are native to the United States from the East Coast to Nebraska is false' is untrue, then either elections are, of course, a necessary and important component of democratic systems or global extinction is the complete elimination of a particular species everywhere in the world.", "One may reasonably assume that if the notion that 'if eiders are colonial breeders, then if a cowboy boot is a boot, then if the claim that counties are located in states is false, then the claim that katydids are native to the United States from the East Coast to Nebraska is false' is untrue, then the notion that 'either elections are, of course, a necessary and important component of democratic systems or global extinction is the complete elimination of a particular species everywhere in the world' is untrue."]
|
Assuming the claim that counties are located in states is false, we know that katydids are native to the United States from the East Coast to Nebraska. It is the case that a cowboy boot is a boot. We know that either earwigs have (part) cells or financial management is the key to managing solvency. Assuming financial management is the key to managing solvency, we know that if a cowboy boot is a boot, then if the claim that counties are located in states is false, then the claim that katydids are native to the United States from the East Coast to Nebraska is false. Either social breakdowns have deeper roots than hunger, frustration or anger or if earwigs have (part) cells, then eiders are colonial breeders. The claim that social breakdowns have deeper roots than hunger, frustration or anger does not reflect reality. If the notion that 'if eiders are colonial breeders, then if a cowboy boot is a boot, then if the claim that counties are located in states is false, then the claim that katydids are native to the United States from the East Coast to Nebraska is false' is untrue, then either elections are, of course, a necessary and important component of democratic systems or global extinction is the complete elimination of a particular species everywhere in the world. One may reasonably assume that if the notion that 'if eiders are colonial breeders, then if a cowboy boot is a boot, then if the claim that counties are located in states is false, then the claim that katydids are native to the United States from the East Coast to Nebraska is false' is untrue, then the notion that 'either elections are, of course, a necessary and important component of democratic systems or global extinction is the complete elimination of a particular species everywhere in the world' is untrue.
|
It is the case that counties are located in states.
|
It is the case that counties are located in states.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then (If (Not [0].), then (Not [1].).). [SC1-2]
[2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [2], then (If (Not [0].), then (Not [1].).).). [SC2-3]
If [4], then (If [2], then (If (Not [0].), then (Not [1].).).).
Therefore, If [2], then (If (Not [0].), then (Not [1].).)..
[SC2-3]
Hypothetical Syllogism:
If [3], then [5]. [SC1-4]
If [5], then (If [2], then (If (Not [0].), then (Not [1].).).). [SC2-4]
Therefore, If [3], then (If [2], then (If (Not [0].), then (Not [1].).).)..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (If [3], then [5].).
Not [8].
Therefore, If [3], then [5]..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If [5], then (If [2], then (If (Not [0].), then (Not [1].).).).).), then (Either [6] or [7].).
If (Not (If [5], then (If [2], then (If (Not [0].), then (Not [1].).).).).), then (Not (Either [6] or [7].).).
Therefore, If [5], then (If [2], then (If (Not [0].), then (Not [1].).).)..
|
{0: 'Counties are located in states.', 1: 'Katydids are native to the United States from the East Coast to Nebraska.', 2: 'A cowboy boot is a boot.', 3: 'Earwigs have (part) cells.', 4: 'Financial management is the key to managing solvency.', 5: 'Eiders are colonial breeders.', 6: 'Elections are, of course, a necessary and important component of democratic systems.', 7: 'Global extinction is the complete elimination of a particular species everywhere in the world.', 8: 'Social breakdowns have deeper roots than hunger, frustration or anger.'}
| 6 |
5,597 |
['Given that casual observers understand that weather influences water temperature on a daily and seasonal basis, it can be inferred that biochemical pharmacology embraces chemistry, molecular biology, physiology and biochemistry.', 'On the condition that pines furnish the bulk of the southern and eastern pole timber, it is definitely the case that if some people mistakenly believe that shame is books, then the claim that biochemical pharmacology embraces chemistry, molecular biology, physiology and biochemistry has no merit.', 'It is a simple truth that pines furnish the bulk of the southern and eastern pole timber.', 'Assuming calcium compounds are colorless, we know that if some people mistakenly believe that shame is books, then casual observers understand that weather influences water temperature on a daily and seasonal basis.', 'It is not the case that glass colours range from light to medium to rich deep amethyst.', "Given that the statement 'calcium compounds are colorless' can be considered false, it can be inferred that mucins have tandem repeat sequences, which are O-glycosylated.", 'One may reasonably assume that if mucins have tandem repeat sequences, which are O-glycosylated, then glass colours range from light to medium to rich deep amethyst.']
|
Given that casual observers understand that weather influences water temperature on a daily and seasonal basis, it can be inferred that biochemical pharmacology embraces chemistry, molecular biology, physiology and biochemistry. On the condition that pines furnish the bulk of the southern and eastern pole timber, it is definitely the case that if some people mistakenly believe that shame is books, then the claim that biochemical pharmacology embraces chemistry, molecular biology, physiology and biochemistry has no merit. It is a simple truth that pines furnish the bulk of the southern and eastern pole timber. Assuming calcium compounds are colorless, we know that if some people mistakenly believe that shame is books, then casual observers understand that weather influences water temperature on a daily and seasonal basis. It is not the case that glass colours range from light to medium to rich deep amethyst. Given that the statement 'calcium compounds are colorless' can be considered false, it can be inferred that mucins have tandem repeat sequences, which are O-glycosylated. One may reasonably assume that if mucins have tandem repeat sequences, which are O-glycosylated, then glass colours range from light to medium to rich deep amethyst.
|
The claim that shame is books holds true.
|
Shame develops in childhood.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not [0].), then [2].).
[4] [SC2-3]
Therefore, If (Not [0].), then [2]..
[SC2-3]
Modus Tonens:
If (Not [4].), then [5]. [SC1-4]
Not [5].
Therefore, [4].
[SC1-4]
Hypothetical Syllogism:
If (Not [4].), then [6].
If [6], then [5].
Therefore, If (Not [4].), then [5]..
[SC2-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Not [1].).).
[3]
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Shame is books.', 1: 'Biochemical pharmacology embraces chemistry, molecular biology, physiology and biochemistry.', 2: 'Casual observers understand that weather influences water temperature on a daily and seasonal basis.', 3: 'Pines furnish the bulk of the southern and eastern pole timber.', 4: 'Calcium compounds are colorless.', 5: 'Glass colours range from light to medium to rich deep amethyst.', 6: 'Mucins have tandem repeat sequences, which are O-glycosylated.'}
| 6 |
5,988 |
['We know that at least one of two things is true: parents express feelings, or white oaks have a beautiful gray, plated bark that make the trees stand out in the woods.', "One may reasonably assume that if the statement 'if parents express feelings, then hedonism is the pursuit of pleasure' can be considered false, then amino acids are compounds containing carbon, hydrogen, oxygen, nitrogen, and occasionally sulphur.", "Provided that the statement 'if parents express feelings, then hedonism is the pursuit of pleasure' can be considered false, we know that it is not the case that amino acids are compounds containing carbon, hydrogen, oxygen, nitrogen, and occasionally sulphur.", "So long as hedonism is the pursuit of pleasure, 'aRT comes in many forms' is true.", 'Those that suggest new Guinea is a hotbed of volcanic activity are wrong.', 'We know that at least one of two things is true: many arthropods overcome the harsh conditions of winter in a hibernation-like state called diapause, or if aRT comes in many forms, then new Guinea is a hotbed of volcanic activity.', 'Those that suggest many arthropods overcome the harsh conditions of winter in a hibernation-like state called diapause are wrong.']
|
We know that at least one of two things is true: parents express feelings, or white oaks have a beautiful gray, plated bark that make the trees stand out in the woods. One may reasonably assume that if the statement 'if parents express feelings, then hedonism is the pursuit of pleasure' can be considered false, then amino acids are compounds containing carbon, hydrogen, oxygen, nitrogen, and occasionally sulphur. Provided that the statement 'if parents express feelings, then hedonism is the pursuit of pleasure' can be considered false, we know that it is not the case that amino acids are compounds containing carbon, hydrogen, oxygen, nitrogen, and occasionally sulphur. So long as hedonism is the pursuit of pleasure, 'aRT comes in many forms' is true. Those that suggest new Guinea is a hotbed of volcanic activity are wrong. We know that at least one of two things is true: many arthropods overcome the harsh conditions of winter in a hibernation-like state called diapause, or if aRT comes in many forms, then new Guinea is a hotbed of volcanic activity. Those that suggest many arthropods overcome the harsh conditions of winter in a hibernation-like state called diapause are wrong.
|
The claim that white oaks have a beautiful gray, plated bark that make the trees stand out in the woods holds true.
|
The claim that white oaks have a beautiful gray, plated bark that make the trees stand out in the woods holds true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then [2].).), then [3].
If (Not (If [1], then [2].).), then (Not [3].).
Therefore, If [1], then [2]..
[SC2-2]
Modus Tonens:
If [2], then [4].
Not [4]. [SC2-3]
Therefore, Not [2]..
[SC2-3]
Modus Tonens:
If [4], then [5]. [SC1-4]
Not [5].
Therefore, Not [4]..
[SC1-4]
Disjunctive Syllogism:
Either [6] or (If [4], then [5].).
Not [6].
Therefore, If [4], then [5]..
|
{0: 'White oaks have a beautiful gray, plated bark that make the trees stand out in the woods.', 1: 'Parents express feelings.', 2: 'Hedonism is the pursuit of pleasure.', 3: 'Amino acids are compounds containing carbon, hydrogen, oxygen, nitrogen, and occasionally sulphur.', 4: 'ART comes in many forms.', 5: 'New Guinea is a hotbed of volcanic activity.', 6: 'Many arthropods overcome the harsh conditions of winter in a hibernation-like state called diapause.'}
| 6 |
5,125 |
["If those that suggest if either some lady beetles go through metamorphosis or yuppies are professionals, then private consortiums are particularly important in the energy field are wrong, then the statement 'temperature is measured in degrees Fahrenheit' can be considered false.", "So long as religion keeps many people in line and also adds diversity to the world, 'either some lady beetles go through metamorphosis or yuppies are professionals' is true.", 'It is the case that religion keeps many people in line and also adds diversity to the world.', "Provided that deadly nightshade is a plant that uses a toxin to protect itself from any predator, we know that if the statement that 'if those that suggest if either some lady beetles go through metamorphosis or yuppies are professionals, then private consortiums are particularly important in the energy field are wrong, then temperature is measured in degrees Fahrenheit' is incorrect, then some phyla consist of sea urchins.", 'deadly nightshade is a plant that uses a toxin to protect itself from any predator.', 'We know that either business people have a tendency to go to the ends of the earth just to get it done or a goblet cell is an epithelial cell.', 'Provided that business people have a tendency to go to the ends of the earth just to get it done, we know that the statement that states some phyla consist of sea urchins is false.', 'Once we know a goblet cell is an epithelial cell, we also know that the statement that states some phyla consist of sea urchins is false.']
|
If those that suggest if either some lady beetles go through metamorphosis or yuppies are professionals, then private consortiums are particularly important in the energy field are wrong, then the statement 'temperature is measured in degrees Fahrenheit' can be considered false. So long as religion keeps many people in line and also adds diversity to the world, 'either some lady beetles go through metamorphosis or yuppies are professionals' is true. It is the case that religion keeps many people in line and also adds diversity to the world. Provided that deadly nightshade is a plant that uses a toxin to protect itself from any predator, we know that if the statement that 'if those that suggest if either some lady beetles go through metamorphosis or yuppies are professionals, then private consortiums are particularly important in the energy field are wrong, then temperature is measured in degrees Fahrenheit' is incorrect, then some phyla consist of sea urchins. deadly nightshade is a plant that uses a toxin to protect itself from any predator. We know that either business people have a tendency to go to the ends of the earth just to get it done or a goblet cell is an epithelial cell. Provided that business people have a tendency to go to the ends of the earth just to get it done, we know that the statement that states some phyla consist of sea urchins is false. Once we know a goblet cell is an epithelial cell, we also know that the statement that states some phyla consist of sea urchins is false.
|
The claim that private consortiums are particularly important in the energy field is true.
|
The claim that private consortiums are particularly important in the energy field is false.
|
FALSE
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Either [1] or [2].), then [0].).), then [4]. [SC1-2]
If (Not (If (Either [1] or [2].), then [0].).), then (Not [4].).
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Either [1] or [2].), then [0].).), then [4].).), then [5]. [SC1-3]
Not [5]. [SC2-3]
Therefore, If (Not (If (Either [1] or [2].), then [0].).), then [4]..
[SC1-3]
Modus Ponens:
If [8], then (If (Not (If (Not (If (Either [1] or [2].), then [0].).), then [4].).), then [5].).
[8]
Therefore, If (Not (If (Not (If (Either [1] or [2].), then [0].).), then [4].).), then [5]..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [5].).
If [7], then (Not [5].).
Therefore, Not [5]..
[SC2-1]
Modus Ponens:
If [3], then (Either [1] or [2].).
[3]
Therefore, Either [1] or [2]..
|
{0: 'Private consortiums are particularly important in the energy field.', 1: 'Some lady beetles go through metamorphosis.', 2: 'Yuppies are professionals.', 3: 'Religion keeps many people in line and also adds diversity to the world.', 4: 'Temperature is measured in degrees Fahrenheit.', 5: 'Some phyla consist of sea urchins.', 6: 'Business people have a tendency to go to the ends of the earth just to get it done.', 7: 'A goblet cell is an epithelial cell.', 8: 'Deadly nightshade is a plant that uses a toxin to protect itself from any predator.'}
| 6 |
5,066 |
['Assuming horses take steps, we know that mollusks usually live where rivers and seas meet.', 'It is a common misconception that civil engineers are also active in such diverse fields as urban planning and aerospace engineering.', 'Provided that humans cause influenza, we know that if if gerbils love to run, tunnel and explore, then nettles have (part) vacuoles, then horses take steps.', 'If either conventional neuroleptics can exacerbate catatonic symptoms to a fatal degree or waists have (part) corpi, then if if gerbils love to run, tunnel and explore, then nettles have (part) vacuoles, then horses take steps.', 'Once we know the statement, if if gerbils love to run, tunnel and explore, then nettles have (part) vacuoles, then those that suggest mollusks usually live where rivers and seas meet are wrong, does not hold, we also know that most arboreal mammals feed on leaves.', 'Assuming most arboreal mammals feed on leaves, we know that civil engineers are also active in such diverse fields as urban planning and aerospace engineering.', 'It is a fact that either mexican bean beetles resemble beneficial ladybugs or either humans cause influenza or either conventional neuroleptics can exacerbate catatonic symptoms to a fatal degree or waists have (part) corpi.', "The statement that 'mexican bean beetles resemble beneficial ladybugs' is incorrect."]
|
Assuming horses take steps, we know that mollusks usually live where rivers and seas meet. It is a common misconception that civil engineers are also active in such diverse fields as urban planning and aerospace engineering. Provided that humans cause influenza, we know that if if gerbils love to run, tunnel and explore, then nettles have (part) vacuoles, then horses take steps. If either conventional neuroleptics can exacerbate catatonic symptoms to a fatal degree or waists have (part) corpi, then if if gerbils love to run, tunnel and explore, then nettles have (part) vacuoles, then horses take steps. Once we know the statement, if if gerbils love to run, tunnel and explore, then nettles have (part) vacuoles, then those that suggest mollusks usually live where rivers and seas meet are wrong, does not hold, we also know that most arboreal mammals feed on leaves. Assuming most arboreal mammals feed on leaves, we know that civil engineers are also active in such diverse fields as urban planning and aerospace engineering. It is a fact that either mexican bean beetles resemble beneficial ladybugs or either humans cause influenza or either conventional neuroleptics can exacerbate catatonic symptoms to a fatal degree or waists have (part) corpi. The statement that 'mexican bean beetles resemble beneficial ladybugs' is incorrect.
|
The statement that 'if gerbils love to run, tunnel and explore, then nettles have (part) vacuoles' is incorrect.
|
The statement that 'if gerbils love to run, tunnel and explore, then nettles have (part) vacuoles' is incorrect.
|
TRUE
|
Reductio Ad Absurdum:
If (If [0], then [1].), then [2]. [SC1-1]
If (If [0], then [1].), then (Not [2].). [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Hypothetical Syllogism:
If (If [0], then [1].), then [3]. [SC1-2]
If [3], then [2].
Therefore, If (If [0], then [1].), then [2]..
[SC1-2]
Disjunction Elimination:
Either [5] or (Either [6] or [7].). [SC1-3]
If [5], then (If (If [0], then [1].), then [3].).
If (Either [6] or [7].), then (If (If [0], then [1].), then [3].).
Therefore, If (If [0], then [1].), then [3]..
[SC1-3]
Disjunctive Syllogism:
Either [9] or (Either [5] or (Either [6] or [7].).).
Not [9].
Therefore, Either [5] or (Either [6] or [7].)..
[SC2-1]
Modus Tonens:
If (Not (If (If [0], then [1].), then (Not [2].).).), then [4]. [SC1-2]
Not [4].
Therefore, If (If [0], then [1].), then (Not [2].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (If [0], then [1].), then (Not [2].).).), then [8].
If [8], then [4].
Therefore, If (Not (If (If [0], then [1].), then (Not [2].).).), then [4]..
|
{0: 'Gerbils love to run, tunnel and explore.', 1: 'Nettles have (part) vacuoles.', 2: 'Mollusks usually live where rivers and seas meet.', 3: 'Horses take steps.', 4: 'Civil engineers are also active in such diverse fields as urban planning and aerospace engineering.', 5: 'Humans cause influenza.', 6: 'Conventional neuroleptics can exacerbate catatonic symptoms to a fatal degree.', 7: 'Waists have (part) corpi.', 8: 'Most arboreal mammals feed on leaves.', 9: 'Mexican bean beetles resemble beneficial ladybugs.'}
| 6 |
5,908 |
['When human beings are the only species who can achieve orgasm before puberty is true, it follows that pulmonary edema is an acute complication of left ventricular failure.', 'It is rational to believe that either transmittance is a measure of how much light passes through a window or either cheeses are very versatile and are also one of the more nutritous foods or human beings are the only species who can achieve orgasm before puberty.', 'The claim that transmittance is a measure of how much light passes through a window does not correspond with reality.', "One may reasonably assume that if the statement that 'if mature trees produce an abundance of large, flavorful nuts, then if cheeses are very versatile and are also one of the more nutritous foods, then pulmonary edema is an acute complication of left ventricular failure' is incorrect, then if wood is often with tyloses, then speed is power.", 'Either one or both of these statements are true: either some people say that any type of physical discipline constitutes abuse or most beetles eat aphids, or mosques are places of worship.', "Whenever it is true that either some people say that any type of physical discipline constitutes abuse or most beetles eat aphids, 'mature trees produce an abundance of large, flavorful nuts' is true.", 'Once we know mosques are places of worship, we also know that mature trees produce an abundance of large, flavorful nuts.', 'There is good reason to believe that either courtship involves a display, entailing mutual preening and feeding of the female by the male or some snails live in saltwaters.', "Should it be the case that courtship involves a display, entailing mutual preening and feeding of the female by the male, it follows that if the statement that 'if mature trees produce an abundance of large, flavorful nuts, then if cheeses are very versatile and are also one of the more nutritous foods, then pulmonary edema is an acute complication of left ventricular failure' is incorrect, then it is not true that if wood is often with tyloses, then speed is power.", "Provided that some snails live in saltwaters, we know that if the statement that 'if mature trees produce an abundance of large, flavorful nuts, then if cheeses are very versatile and are also one of the more nutritous foods, then pulmonary edema is an acute complication of left ventricular failure' is incorrect, then it is not true that if wood is often with tyloses, then speed is power."]
|
When human beings are the only species who can achieve orgasm before puberty is true, it follows that pulmonary edema is an acute complication of left ventricular failure. It is rational to believe that either transmittance is a measure of how much light passes through a window or either cheeses are very versatile and are also one of the more nutritous foods or human beings are the only species who can achieve orgasm before puberty. The claim that transmittance is a measure of how much light passes through a window does not correspond with reality. One may reasonably assume that if the statement that 'if mature trees produce an abundance of large, flavorful nuts, then if cheeses are very versatile and are also one of the more nutritous foods, then pulmonary edema is an acute complication of left ventricular failure' is incorrect, then if wood is often with tyloses, then speed is power. Either one or both of these statements are true: either some people say that any type of physical discipline constitutes abuse or most beetles eat aphids, or mosques are places of worship. Whenever it is true that either some people say that any type of physical discipline constitutes abuse or most beetles eat aphids, 'mature trees produce an abundance of large, flavorful nuts' is true. Once we know mosques are places of worship, we also know that mature trees produce an abundance of large, flavorful nuts. There is good reason to believe that either courtship involves a display, entailing mutual preening and feeding of the female by the male or some snails live in saltwaters. Should it be the case that courtship involves a display, entailing mutual preening and feeding of the female by the male, it follows that if the statement that 'if mature trees produce an abundance of large, flavorful nuts, then if cheeses are very versatile and are also one of the more nutritous foods, then pulmonary edema is an acute complication of left ventricular failure' is incorrect, then it is not true that if wood is often with tyloses, then speed is power. Provided that some snails live in saltwaters, we know that if the statement that 'if mature trees produce an abundance of large, flavorful nuts, then if cheeses are very versatile and are also one of the more nutritous foods, then pulmonary edema is an acute complication of left ventricular failure' is incorrect, then it is not true that if wood is often with tyloses, then speed is power.
|
It is rational to agree that pulmonary edema is an acute complication of left ventricular failure.
|
Pulmonary edema is fluid in the lungs.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either [1] or [2].).
Not [3].
Therefore, Either [1] or [2]..
[SC2-1]
Modus Ponens:
If [4], then (If [1], then [0].). [SC1-2]
[4] [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [4], then (If [1], then [0].).).), then (If [5], then [6].).
If (Not (If [4], then (If [1], then [0].).).), then (Not (If [5], then [6].).). [SC2-3]
Therefore, If [4], then (If [1], then [0].)..
[SC2-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If (Not (If [4], then (If [1], then [0].).).), then (Not (If [5], then [6].).).).
If [11], then (If (Not (If [4], then (If [1], then [0].).).), then (Not (If [5], then [6].).).).
Therefore, If (Not (If [4], then (If [1], then [0].).).), then (Not (If [5], then [6].).)..
[SC2-2]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then [4].
If [9], then [4].
Therefore, [4].
|
{0: 'Pulmonary edema is an acute complication of left ventricular failure.', 1: 'Cheeses are very versatile and are also one of the more nutritous foods.', 2: 'Human beings are the only species who can achieve orgasm before puberty.', 3: 'Transmittance is a measure of how much light passes through a window.', 4: 'Mature trees produce an abundance of large, flavorful nuts.', 5: 'Wood is often with tyloses.', 6: 'Speed is power.', 7: 'Some people say that any type of physical discipline constitutes abuse.', 8: 'Most beetles eat aphids.', 9: 'Mosques are places of worship.', 10: 'Courtship involves a display, entailing mutual preening and feeding of the female by the male.', 11: 'Some snails live in saltwaters.'}
| 6 |
5,511 |
["Given that the statement, if air flows through the lungs into the expandable air sacs, then inactivated vaccines are safe in pregnancy, does not hold, it can be inferred that the claim that if exercise also uses up blood sugar and burns calories, then emotional expression is important because emotions are the body's biofeedback mechanism does not reflect reality.", 'The claim that if some traffic islands are part of streets, then habitats provide food sources is false.', "So long as most tiny particles reflect sunlight, 'if some traffic islands are part of streets, then habitats provide food sources' is true.", "Provided that the claim that either a gentry is a class or if the claim that if the statement, if air flows through the lungs into the expandable air sacs, then inactivated vaccines are safe in pregnancy, does not hold, then if exercise also uses up blood sugar and burns calories, then emotional expression is important because emotions are the body's biofeedback mechanism does not correspond with reality, then most tiny particles reflect sunlight does not reflect reality, we know that persistent coma is called vegetative state.", 'The claim that persistent coma is called vegetative state has no merit.', 'When a gentry is a class is true, it follows that springer spaniels are white with brown, black Or liver-colored patches and silky hair.', 'Once we know a gentry is a class, we also know that it is not true that springer spaniels are white with brown, black Or liver-colored patches and silky hair.']
|
Given that the statement, if air flows through the lungs into the expandable air sacs, then inactivated vaccines are safe in pregnancy, does not hold, it can be inferred that the claim that if exercise also uses up blood sugar and burns calories, then emotional expression is important because emotions are the body's biofeedback mechanism does not reflect reality. The claim that if some traffic islands are part of streets, then habitats provide food sources is false. So long as most tiny particles reflect sunlight, 'if some traffic islands are part of streets, then habitats provide food sources' is true. Provided that the claim that either a gentry is a class or if the claim that if the statement, if air flows through the lungs into the expandable air sacs, then inactivated vaccines are safe in pregnancy, does not hold, then if exercise also uses up blood sugar and burns calories, then emotional expression is important because emotions are the body's biofeedback mechanism does not correspond with reality, then most tiny particles reflect sunlight does not reflect reality, we know that persistent coma is called vegetative state. The claim that persistent coma is called vegetative state has no merit. When a gentry is a class is true, it follows that springer spaniels are white with brown, black Or liver-colored patches and silky hair. Once we know a gentry is a class, we also know that it is not true that springer spaniels are white with brown, black Or liver-colored patches and silky hair.
|
When air flows through the lungs into the expandable air sacs is true, it follows that inactivated vaccines are safe in pregnancy.
|
When air flows through the lungs into the expandable air sacs is true, it follows that inactivated vaccines are safe in pregnancy.
|
TRUE
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then (If [2], then [3].). [SC1-1]
If (Not (If [0], then [1].).), then (Not (If [2], then [3].).).
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then (If [4], then [5].). [SC1-2]
Not (If [4], then [5].).
Therefore, If (Not (If [0], then [1].).), then (If [2], then [3].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then [6]. [SC1-3]
If [6], then (If [4], then [5].).
Therefore, If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then (If [4], then [5].)..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then [6].). [SC1-4]
Not [7]. [SC2-4]
Therefore, If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then [6]..
[SC1-4]
Modus Tonens:
If (Not (Either [7] or (If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then [6].).).), then [8].
Not [8].
Therefore, Either [7] or (If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then [6].)..
[SC2-4]
Reductio Ad Absurdum:
If [7], then [9].
If [7], then (Not [9].).
Therefore, Not [7]..
|
{0: 'Air flows through the lungs into the expandable air sacs.', 1: 'Inactivated vaccines are safe in pregnancy.', 2: 'Exercise also uses up blood sugar and burns calories.', 3: "Emotional expression is important because emotions are the body's biofeedback mechanism.", 4: 'Some traffic islands are part of streets.', 5: 'Habitats provide food sources.', 6: 'Most tiny particles reflect sunlight.', 7: 'A gentry is a class.', 8: 'Persistent coma is called vegetative state.', 9: 'Springer spaniels are white with brown, black Or liver-colored patches and silky hair.'}
| 6 |
5,224 |
['It is rational to believe that either fonts come in all shapes and sizes or paint is program for drawing simple images.', "Whenever it is true that lionesses have (part) breasts, 'the claim that fonts come in all shapes and sizes has no merit' is true.", 'It is a fact that either carbohydrates come from sugar or if rotational grazing is the best way to manage trefoil-bluegrass pastures, then chromosomes arrive at the spindle poles.', 'If carbohydrates come from sugar, then nest building starts about a month before the first egg is laid.', "So long as weight is the force that the mass experiences when in a gravitational field, 'the claim that fonts come in all shapes and sizes has no merit' is true.", "So long as the notion that 'if if rotational grazing is the best way to manage trefoil-bluegrass pastures, then chromosomes arrive at the spindle poles, then lionesses have (part) breasts' is untrue, 'fertilization is a mitogenic stimulus that triggers the zygote to re-enter the cell cycle' is true.", "Whenever it is true that the notion that 'if if rotational grazing is the best way to manage trefoil-bluegrass pastures, then chromosomes arrive at the spindle poles, then lionesses have (part) breasts' is untrue, 'it is not true that fertilization is a mitogenic stimulus that triggers the zygote to re-enter the cell cycle' is true.", 'It is rational to believe that either either an orchiectomy is ablation or human behavior is complex and influenced by our genes, our environment, and our circumstances or some fungus can cause white spots.', 'One may reasonably assume that if either an orchiectomy is ablation or human behavior is complex and influenced by our genes, our environment, and our circumstances, then if nest building starts about a month before the first egg is laid, then weight is the force that the mass experiences when in a gravitational field.', 'Provided that some fungus can cause white spots, we know that if nest building starts about a month before the first egg is laid, then weight is the force that the mass experiences when in a gravitational field.']
|
It is rational to believe that either fonts come in all shapes and sizes or paint is program for drawing simple images. Whenever it is true that lionesses have (part) breasts, 'the claim that fonts come in all shapes and sizes has no merit' is true. It is a fact that either carbohydrates come from sugar or if rotational grazing is the best way to manage trefoil-bluegrass pastures, then chromosomes arrive at the spindle poles. If carbohydrates come from sugar, then nest building starts about a month before the first egg is laid. So long as weight is the force that the mass experiences when in a gravitational field, 'the claim that fonts come in all shapes and sizes has no merit' is true. So long as the notion that 'if if rotational grazing is the best way to manage trefoil-bluegrass pastures, then chromosomes arrive at the spindle poles, then lionesses have (part) breasts' is untrue, 'fertilization is a mitogenic stimulus that triggers the zygote to re-enter the cell cycle' is true. Whenever it is true that the notion that 'if if rotational grazing is the best way to manage trefoil-bluegrass pastures, then chromosomes arrive at the spindle poles, then lionesses have (part) breasts' is untrue, 'it is not true that fertilization is a mitogenic stimulus that triggers the zygote to re-enter the cell cycle' is true. It is rational to believe that either either an orchiectomy is ablation or human behavior is complex and influenced by our genes, our environment, and our circumstances or some fungus can cause white spots. One may reasonably assume that if either an orchiectomy is ablation or human behavior is complex and influenced by our genes, our environment, and our circumstances, then if nest building starts about a month before the first egg is laid, then weight is the force that the mass experiences when in a gravitational field. Provided that some fungus can cause white spots, we know that if nest building starts about a month before the first egg is laid, then weight is the force that the mass experiences when in a gravitational field.
|
The statement that states paint is program for drawing simple images is right.
|
The statement that states paint is program for drawing simple images is right.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either [4] or (If [5], then [6].).
If [4], then [2].
If (If [5], then [6].), then [3]. [SC3-3]
Therefore, Either [2] or [3]..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If (If [5], then [6].), then [3].).), then [11].
If (Not (If (If [5], then [6].), then [3].).), then (Not [11].).
Therefore, If (If [5], then [6].), then [3]..
[SC2-2]
Hypothetical Syllogism:
If [2], then [7]. [SC1-3]
If [7], then (Not [1].).
Therefore, If [2], then (Not [1].)..
[SC1-3]
Disjunction Elimination:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then (If [2], then [7].).
If [10], then (If [2], then [7].).
Therefore, If [2], then [7]..
|
{0: 'Paint is program for drawing simple images.', 1: 'Fonts come in all shapes and sizes.', 2: 'Nest building starts about a month before the first egg is laid.', 3: 'Lionesses have (part) breasts.', 4: 'Carbohydrates come from sugar.', 5: 'Rotational grazing is the best way to manage trefoil-bluegrass pastures.', 6: 'Chromosomes arrive at the spindle poles.', 7: 'Weight is the force that the mass experiences when in a gravitational field.', 8: 'An orchiectomy is ablation.', 9: 'Human behavior is complex and influenced by our genes, our environment, and our circumstances.', 10: 'Some fungus can cause white spots.', 11: 'Fertilization is a mitogenic stimulus that triggers the zygote to re-enter the cell cycle.'}
| 6 |
5,268 |
['The claim that sharks live in oceans is true.', 'On the condition that either success is a state of being rather than a target or locusts have (part) nuclei, it is definitely the case that if sculptors make dust, then a periapsis is a point.', "Whenever it is true that either many parents express concern over their child's thumbsucking or use of a pacifier or people desire fuckeds, 'the statement that states if sculptors make dust, then a periapsis is a point is false' is true.", "We know that either sperm has (part) vacuoles or if the statement that 'if sharks live in oceans, then women are even more vulnerable to the effects of alcohol than men' is incorrect, then either success is a state of being rather than a target or locusts have (part) nuclei.", 'It is not true that sperm has (part) vacuoles.', 'It is a fact that either if domestic violence takes on many forms, then unions are a modern concept, a product of industrial society or some invertebrates can migrate for long distances.', "On the condition that if domestic violence takes on many forms, then unions are a modern concept, a product of industrial society, it is definitely the case that either many parents express concern over their child's thumbsucking or use of a pacifier or people desire fuckeds.", "Whenever it is true that some invertebrates can migrate for long distances, 'either many parents express concern over their child's thumbsucking or use of a pacifier or people desire fuckeds' is true."]
|
The claim that sharks live in oceans is true. On the condition that either success is a state of being rather than a target or locusts have (part) nuclei, it is definitely the case that if sculptors make dust, then a periapsis is a point. Whenever it is true that either many parents express concern over their child's thumbsucking or use of a pacifier or people desire fuckeds, 'the statement that states if sculptors make dust, then a periapsis is a point is false' is true. We know that either sperm has (part) vacuoles or if the statement that 'if sharks live in oceans, then women are even more vulnerable to the effects of alcohol than men' is incorrect, then either success is a state of being rather than a target or locusts have (part) nuclei. It is not true that sperm has (part) vacuoles. It is a fact that either if domestic violence takes on many forms, then unions are a modern concept, a product of industrial society or some invertebrates can migrate for long distances. On the condition that if domestic violence takes on many forms, then unions are a modern concept, a product of industrial society, it is definitely the case that either many parents express concern over their child's thumbsucking or use of a pacifier or people desire fuckeds. Whenever it is true that some invertebrates can migrate for long distances, 'either many parents express concern over their child's thumbsucking or use of a pacifier or people desire fuckeds' is true.
|
The statement 'women are even more vulnerable to the effects of alcohol than men' can be considered true.
|
Women make dough.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then (If [2], then [3].). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [1], then [0].).), then (Either [4] or [5].). [SC1-3]
If (Either [4] or [5].), then (If [2], then [3].).
Therefore, If (Not (If [1], then [0].).), then (If [2], then [3].)..
[SC1-3]
Disjunctive Syllogism:
Either [11] or (If (Not (If [1], then [0].).), then (Either [4] or [5].).).
Not [11].
Therefore, If (Not (If [1], then [0].).), then (Either [4] or [5].)..
[SC2-2]
Modus Ponens:
If (Either [6] or [7].), then (Not (If [2], then [3].).).
Either [6] or [7]. [SC2-3]
Therefore, Not (If [2], then [3].)..
[SC2-3]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then (Either [6] or [7].).
If [10], then (Either [6] or [7].).
Therefore, Either [6] or [7]..
|
{0: 'Women are even more vulnerable to the effects of alcohol than men.', 1: 'Sharks live in oceans.', 2: 'Sculptors make dust.', 3: 'A periapsis is a point.', 4: 'Success is a state of being rather than a target.', 5: 'Locusts have (part) nuclei.', 6: "Many parents express concern over their child's thumbsucking or use of a pacifier.", 7: 'People desire fuckeds.', 8: 'Domestic violence takes on many forms.', 9: 'Unions are a modern concept, a product of industrial society.', 10: 'Some invertebrates can migrate for long distances.', 11: 'Sperm has (part) vacuoles.'}
| 6 |
5,161 |
['There is good reason to believe that either cardiology is considered a subspecialty of internal medicine or plant roots play an essential role in soil development and prevention of soil erosion.', 'Should it be the case that cardiology is considered a subspecialty of internal medicine, it follows that either migraine susceptibility runs in families and migraines are three times more common in women or dogs are used for guarding the home, hunting, and as food.', 'Assuming plant roots play an essential role in soil development and prevention of soil erosion, we know that either migraine susceptibility runs in families and migraines are three times more common in women or dogs are used for guarding the home, hunting, and as food.', "It is a fact that either either most life evolves over years or tree roots absorb nutrients or technology is a vital aspect to any business, especially in today's world filled with computers.", "So long as either most life evolves over years or tree roots absorb nutrients, 'if migraine susceptibility runs in families and migraines are three times more common in women, then peafowl are magnificent birds from India' is true.", 'Should it be the case that it is not true that if dogs are used for guarding the home, hunting, and as food, then peafowl are magnificent birds from India, it follows that faith has nothing to do with worldly understanding.', "Provided that it is a common misconception that if technology is a vital aspect to any business, especially in today's world filled with computers, then if migraine susceptibility runs in families and migraines are three times more common in women, then peafowl are magnificent birds from India, we know that either wind turbines generate energy or humans are omnivores, because they eat meat as well as vegetable matter.", "Whenever it is true that it is a common misconception that if technology is a vital aspect to any business, especially in today's world filled with computers, then if migraine susceptibility runs in families and migraines are three times more common in women, then peafowl are magnificent birds from India, 'it is a common misconception that either wind turbines generate energy or humans are omnivores, because they eat meat as well as vegetable matter' is true.", 'When either trochees reverse the iambic and accent the first syllable or plastic mulch helps weeds is true, it follows that if it is not true that if dogs are used for guarding the home, hunting, and as food, then peafowl are magnificent birds from India, then it is a common misconception that faith has nothing to do with worldly understanding.', 'It is a fact that either trochees reverse the iambic and accent the first syllable or plastic mulch helps weeds.']
|
There is good reason to believe that either cardiology is considered a subspecialty of internal medicine or plant roots play an essential role in soil development and prevention of soil erosion. Should it be the case that cardiology is considered a subspecialty of internal medicine, it follows that either migraine susceptibility runs in families and migraines are three times more common in women or dogs are used for guarding the home, hunting, and as food. Assuming plant roots play an essential role in soil development and prevention of soil erosion, we know that either migraine susceptibility runs in families and migraines are three times more common in women or dogs are used for guarding the home, hunting, and as food. It is a fact that either either most life evolves over years or tree roots absorb nutrients or technology is a vital aspect to any business, especially in today's world filled with computers. So long as either most life evolves over years or tree roots absorb nutrients, 'if migraine susceptibility runs in families and migraines are three times more common in women, then peafowl are magnificent birds from India' is true. Should it be the case that it is not true that if dogs are used for guarding the home, hunting, and as food, then peafowl are magnificent birds from India, it follows that faith has nothing to do with worldly understanding. Provided that it is a common misconception that if technology is a vital aspect to any business, especially in today's world filled with computers, then if migraine susceptibility runs in families and migraines are three times more common in women, then peafowl are magnificent birds from India, we know that either wind turbines generate energy or humans are omnivores, because they eat meat as well as vegetable matter. Whenever it is true that it is a common misconception that if technology is a vital aspect to any business, especially in today's world filled with computers, then if migraine susceptibility runs in families and migraines are three times more common in women, then peafowl are magnificent birds from India, 'it is a common misconception that either wind turbines generate energy or humans are omnivores, because they eat meat as well as vegetable matter' is true. When either trochees reverse the iambic and accent the first syllable or plastic mulch helps weeds is true, it follows that if it is not true that if dogs are used for guarding the home, hunting, and as food, then peafowl are magnificent birds from India, then it is a common misconception that faith has nothing to do with worldly understanding. It is a fact that either trochees reverse the iambic and accent the first syllable or plastic mulch helps weeds.
|
The statement 'peafowl are magnificent birds from India' can be considered true.
|
The statement 'peafowl are magnificent birds from India' can be considered true.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Either [1] or [2].).
If [4], then (Either [1] or [2].).
Therefore, Either [1] or [2]..
[SC2-1]
Disjunction Elimination:
Either (Either [6] or [7].) or [8].
If (Either [6] or [7].), then (If [1], then [0].).
If [8], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [8], then (If [1], then [0].).).), then (Either [11] or [12].).
If (Not (If [8], then (If [1], then [0].).).), then (Not (Either [11] or [12].).).
Therefore, If [8], then (If [1], then [0].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [5].
If (Not (If [2], then [0].).), then (Not [5].). [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Modus Ponens:
If (Either [9] or [10].), then (If (Not (If [2], then [0].).), then (Not [5].).).
Either [9] or [10].
Therefore, If (Not (If [2], then [0].).), then (Not [5].)..
|
{0: 'Peafowl are magnificent birds from India.', 1: 'Migraine susceptibility runs in families and migraines are three times more common in women.', 2: 'Dogs are used for guarding the home, hunting, and as food.', 3: 'Cardiology is considered a subspecialty of internal medicine.', 4: 'Plant roots play an essential role in soil development and prevention of soil erosion.', 5: 'Faith has nothing to do with worldly understanding.', 6: 'Most life evolves over years.', 7: 'Tree roots absorb nutrients.', 8: "Technology is a vital aspect to any business, especially in today's world filled with computers.", 9: 'Trochees reverse the iambic and accent the first syllable.', 10: 'Plastic mulch helps weeds.', 11: 'Wind turbines generate energy.', 12: 'Humans are omnivores, because they eat meat as well as vegetable matter.'}
| 6 |
5,813 |
['It is a common misconception that either medical emergencies are one emergency that planners say requires special staffing or inflammation is a natural response of the body to any disease or damage.', "Whenever it is true that water used in homes contains varying amounts of minerals, 'either plants also compete for space, nutrients and resources such as water and sunlight or military operations take places' is true.", 'Many people rightly believe that water used in homes contains varying amounts of minerals.', "On the condition that we know that the claim that if plants also compete for space, nutrients and resources such as water and sunlight, then if the statement, music also plays an important part in Cuban culture, does not hold, then either medical emergencies are one emergency that planners say requires special staffing or inflammation is a natural response of the body to any disease or damage is false, it is definitely the case that the notion that 'planes have (part) accelerators' is untrue.", "So long as we know that the claim that if military operations take places, then if the statement, music also plays an important part in Cuban culture, does not hold, then either medical emergencies are one emergency that planners say requires special staffing or inflammation is a natural response of the body to any disease or damage is false, 'most hawks spread wings' is true.", 'Some people mistakenly believe that most hawks spread wings.', "So long as either stages are located in theatres or boots cause a desire to hikes, 'if we know that the claim that if plants also compete for space, nutrients and resources such as water and sunlight, then if the statement, music also plays an important part in Cuban culture, does not hold, then either medical emergencies are one emergency that planners say requires special staffing or inflammation is a natural response of the body to any disease or damage is false, then planes have (part) accelerators' is true.", 'There is good reason to believe that either stages are located in theatres or boots cause a desire to hikes.']
|
It is a common misconception that either medical emergencies are one emergency that planners say requires special staffing or inflammation is a natural response of the body to any disease or damage. Whenever it is true that water used in homes contains varying amounts of minerals, 'either plants also compete for space, nutrients and resources such as water and sunlight or military operations take places' is true. Many people rightly believe that water used in homes contains varying amounts of minerals. On the condition that we know that the claim that if plants also compete for space, nutrients and resources such as water and sunlight, then if the statement, music also plays an important part in Cuban culture, does not hold, then either medical emergencies are one emergency that planners say requires special staffing or inflammation is a natural response of the body to any disease or damage is false, it is definitely the case that the notion that 'planes have (part) accelerators' is untrue. So long as we know that the claim that if military operations take places, then if the statement, music also plays an important part in Cuban culture, does not hold, then either medical emergencies are one emergency that planners say requires special staffing or inflammation is a natural response of the body to any disease or damage is false, 'most hawks spread wings' is true. Some people mistakenly believe that most hawks spread wings. So long as either stages are located in theatres or boots cause a desire to hikes, 'if we know that the claim that if plants also compete for space, nutrients and resources such as water and sunlight, then if the statement, music also plays an important part in Cuban culture, does not hold, then either medical emergencies are one emergency that planners say requires special staffing or inflammation is a natural response of the body to any disease or damage is false, then planes have (part) accelerators' is true. There is good reason to believe that either stages are located in theatres or boots cause a desire to hikes.
|
It is reasonable to believe that music also plays an important part in Cuban culture.
|
Music plays a central role in all cultures and in the growth process form child to adult.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].).
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (Not [0].), then (Either [1] or [2].).). [SC2-2]
If [4], then (If (Not [0].), then (Either [1] or [2].).). [SC3-2]
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC1-2]
Modus Ponens:
If [5], then (Either [3] or [4].).
[5]
Therefore, Either [3] or [4]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If (Not [0].), then (Either [1] or [2].).).).), then [6]. [SC1-3]
If (Not (If [3], then (If (Not [0].), then (Either [1] or [2].).).).), then (Not [6].).
Therefore, If [3], then (If (Not [0].), then (Either [1] or [2].).)..
[SC1-3]
Modus Ponens:
If (Either [8] or [9].), then (If (Not (If [3], then (If (Not [0].), then (Either [1] or [2].).).).), then [6].).
Either [8] or [9].
Therefore, If (Not (If [3], then (If (Not [0].), then (Either [1] or [2].).).).), then [6]..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (If (Not [0].), then (Either [1] or [2].).).).), then [7].
Not [7].
Therefore, If [4], then (If (Not [0].), then (Either [1] or [2].).)..
|
{0: 'Music also plays an important part in Cuban culture.', 1: 'Medical emergencies are one emergency that planners say requires special staffing.', 2: 'Inflammation is a natural response of the body to any disease or damage.', 3: 'Plants also compete for space, nutrients and resources such as water and sunlight.', 4: 'Military operations take places.', 5: 'Water used in homes contains varying amounts of minerals.', 6: 'Planes have (part) accelerators.', 7: 'Most hawks spread wings.', 8: 'Stages are located in theatres.', 9: 'Boots cause a desire to hikes.'}
| 6 |
5,618 |
["Given that herbalists primarily recommend kelp as a natural source of minerals, it can be inferred that if the claim that mineral oil is one way to hightlight a shell's color without seriously damaging the shell does not reflect reality, then retinal tears can be serious.", 'The claim that herbalists primarily recommend kelp as a natural source of minerals is true.', 'If fathers play no part in infant care, then the claim that retinal tears can be serious is false.', "Whenever it is true that if episiotomies prevent trauma to the foetal head, then families have mothers and fathers, sons and daughters, husbands and wives, brothers and sisters, 'the claim that retinal tears can be serious is false' is true.", 'Either protein is the most abundant class of all biological molecules or modern corn is considered to be the hybridization of two different species.', 'If modern corn is considered to be the hybridization of two different species, then if episiotomies prevent trauma to the foetal head, then families have mothers and fathers, sons and daughters, husbands and wives, brothers and sisters.', "Should it be the case that the notion that 'if protein is the most abundant class of all biological molecules, then fathers play no part in infant care' is untrue, it follows that a chain pickerel is a pickerel.", "On the condition that the notion that 'if protein is the most abundant class of all biological molecules, then fathers play no part in infant care' is untrue, it is definitely the case that grandchildren get taller and with age most grandparents lose at least a little height.", 'On the condition that grandchildren get taller and with age most grandparents lose at least a little height, it is definitely the case that we know that the claim that a chain pickerel is a pickerel is false.']
|
Given that herbalists primarily recommend kelp as a natural source of minerals, it can be inferred that if the claim that mineral oil is one way to hightlight a shell's color without seriously damaging the shell does not reflect reality, then retinal tears can be serious. The claim that herbalists primarily recommend kelp as a natural source of minerals is true. If fathers play no part in infant care, then the claim that retinal tears can be serious is false. Whenever it is true that if episiotomies prevent trauma to the foetal head, then families have mothers and fathers, sons and daughters, husbands and wives, brothers and sisters, 'the claim that retinal tears can be serious is false' is true. Either protein is the most abundant class of all biological molecules or modern corn is considered to be the hybridization of two different species. If modern corn is considered to be the hybridization of two different species, then if episiotomies prevent trauma to the foetal head, then families have mothers and fathers, sons and daughters, husbands and wives, brothers and sisters. Should it be the case that the notion that 'if protein is the most abundant class of all biological molecules, then fathers play no part in infant care' is untrue, it follows that a chain pickerel is a pickerel. On the condition that the notion that 'if protein is the most abundant class of all biological molecules, then fathers play no part in infant care' is untrue, it is definitely the case that grandchildren get taller and with age most grandparents lose at least a little height. On the condition that grandchildren get taller and with age most grandparents lose at least a little height, it is definitely the case that we know that the claim that a chain pickerel is a pickerel is false.
|
It is a simple truth that mineral oil is one way to hightlight a shell's color without seriously damaging the shell.
|
The statement that 'mineral oil is one way to hightlight a shell's color without seriously damaging the shell' is incorrect.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].).
[2]
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunction Elimination:
Either [3] or (If [4], then [5].). [SC1-2]
If [3], then (Not [1].).
If (If [4], then [5].), then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either [6] or [7].
If [6], then [3]. [SC2-3]
If [7], then (If [4], then [5].).
Therefore, Either [3] or (If [4], then [5].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [6], then [3].).), then [8].
If (Not (If [6], then [3].).), then (Not [8].). [SC2-4]
Therefore, If [6], then [3]..
[SC2-4]
Hypothetical Syllogism:
If (Not (If [6], then [3].).), then [9].
If [9], then (Not [8].).
Therefore, If (Not (If [6], then [3].).), then (Not [8].)..
|
{0: "Mineral oil is one way to hightlight a shell's color without seriously damaging the shell.", 1: 'Retinal tears can be serious.', 2: 'Herbalists primarily recommend kelp as a natural source of minerals.', 3: 'Fathers play no part in infant care.', 4: 'Episiotomies prevent trauma to the foetal head.', 5: 'Families have mothers and fathers, sons and daughters, husbands and wives, brothers and sisters.', 6: 'Protein is the most abundant class of all biological molecules.', 7: 'Modern corn is considered to be the hybridization of two different species.', 8: 'A chain pickerel is a pickerel.', 9: 'Grandchildren get taller and with age most grandparents lose at least a little height.'}
| 6 |
5,676 |
['Either love comes in different ways or if muscles work in concert with other muscles, then some species can exploit a variety of habitats while others are restricted to one type of habitat.', 'Provided that the claim that muscles work in concert with other muscles does not correspond with reality, we know that sexual harassment Is an illegal behavior.', "One may reasonably assume that if the claim that muscles work in concert with other muscles does not correspond with reality, then the statement that 'sexual harassment Is an illegal behavior' is incorrect.", 'Given that riffles are the sites of primary production, it can be inferred that if chameleons naturally drink off of leaves after it has rained, then the statement, love comes in different ways, does not hold.', 'The claim that riffles are the sites of primary production holds true.', "Whenever it is true that love addiction is an unusual addiction, in that it is about being addicted to another human being, 'chameleons naturally drink off of leaves after it has rained' is true.", 'Those that suggest love addiction is an unusual addiction, in that it is about being addicted to another human being are right.']
|
Either love comes in different ways or if muscles work in concert with other muscles, then some species can exploit a variety of habitats while others are restricted to one type of habitat. Provided that the claim that muscles work in concert with other muscles does not correspond with reality, we know that sexual harassment Is an illegal behavior. One may reasonably assume that if the claim that muscles work in concert with other muscles does not correspond with reality, then the statement that 'sexual harassment Is an illegal behavior' is incorrect. Given that riffles are the sites of primary production, it can be inferred that if chameleons naturally drink off of leaves after it has rained, then the statement, love comes in different ways, does not hold. The claim that riffles are the sites of primary production holds true. Whenever it is true that love addiction is an unusual addiction, in that it is about being addicted to another human being, 'chameleons naturally drink off of leaves after it has rained' is true. Those that suggest love addiction is an unusual addiction, in that it is about being addicted to another human being are right.
|
The statement 'some species can exploit a variety of habitats while others are restricted to one type of habitat' can be considered true.
|
Many species migrate to their breeding grounds.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [0].).
Not [3]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Modus Ponens:
If [4], then (Not [3].). [SC1-3]
[4] [SC2-3]
Therefore, Not [3]..
[SC1-3]
Modus Ponens:
If [6], then (If [4], then (Not [3].).).
[6]
Therefore, If [4], then (Not [3].)..
[SC2-3]
Modus Ponens:
If [5], then [4].
[5]
Therefore, [4].
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2].
If (Not [1].), then (Not [2].).
Therefore, [1].
|
{0: 'Some species can exploit a variety of habitats while others are restricted to one type of habitat.', 1: 'Muscles work in concert with other muscles.', 2: 'Sexual harassment Is an illegal behavior.', 3: 'Love comes in different ways.', 4: 'Chameleons naturally drink off of leaves after it has rained.', 5: 'Love addiction is an unusual addiction, in that it is about being addicted to another human being.', 6: 'Riffles are the sites of primary production.'}
| 6 |
5,178 |
['Provided that slugs come to the surface at night to feed on grass seeds, rootlets and young seedlings, we know that tigers are one of many endangered species in the world.', 'Once we know selenium helps keep youthful elasticity in the tissues, we also know that if the claim that slugs come to the surface at night to feed on grass seeds, rootlets and young seedlings does not correspond with reality, then food can make people sick if it is contaminated by microorganisms, bad metals, or chemicals.', 'Either unity is software or some people mistakenly believe that food can make people sick if it is contaminated by microorganisms, bad metals, or chemicals.', 'Either one or both of these statements are true: an intestine is an organ, or if cholera is rare in the United States, then farmers add fertilizer.', 'Should it be the case that an intestine is an organ, it follows that selenium helps keep youthful elasticity in the tissues.', 'Once we know if cholera is rare in the United States, then farmers add fertilizer, we also know that selenium helps keep youthful elasticity in the tissues.', 'It is a fact that either gamete isa cell or meteorites are pieces of ancient material that survive their fall to Earth from space.', 'When gamete isa cell is true, it follows that some people mistakenly believe that unity is software.', 'When meteorites are pieces of ancient material that survive their fall to Earth from space is true, it follows that some people mistakenly believe that unity is software.']
|
Provided that slugs come to the surface at night to feed on grass seeds, rootlets and young seedlings, we know that tigers are one of many endangered species in the world. Once we know selenium helps keep youthful elasticity in the tissues, we also know that if the claim that slugs come to the surface at night to feed on grass seeds, rootlets and young seedlings does not correspond with reality, then food can make people sick if it is contaminated by microorganisms, bad metals, or chemicals. Either unity is software or some people mistakenly believe that food can make people sick if it is contaminated by microorganisms, bad metals, or chemicals. Either one or both of these statements are true: an intestine is an organ, or if cholera is rare in the United States, then farmers add fertilizer. Should it be the case that an intestine is an organ, it follows that selenium helps keep youthful elasticity in the tissues. Once we know if cholera is rare in the United States, then farmers add fertilizer, we also know that selenium helps keep youthful elasticity in the tissues. It is a fact that either gamete isa cell or meteorites are pieces of ancient material that survive their fall to Earth from space. When gamete isa cell is true, it follows that some people mistakenly believe that unity is software. When meteorites are pieces of ancient material that survive their fall to Earth from space is true, it follows that some people mistakenly believe that unity is software.
|
The claim that tigers are one of many endangered species in the world is true.
|
The claim that tigers are one of many endangered species in the world is true.
|
TRUE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If [3], then (If (Not [1].), then [2].).
[3] [SC2-3]
Therefore, If (Not [1].), then [2]..
[SC2-3]
Disjunction Elimination:
Either [7] or (If [8], then [9].).
If [7], then [3].
If (If [8], then [9].), then [3].
Therefore, [3].
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [2].).
Not [4]. [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [4].).
If [6], then (Not [4].).
Therefore, Not [4]..
|
{0: 'Tigers are one of many endangered species in the world.', 1: 'Slugs come to the surface at night to feed on grass seeds, rootlets and young seedlings.', 2: 'Food can make people sick if it is contaminated by microorganisms, bad metals, or chemicals.', 3: 'Selenium helps keep youthful elasticity in the tissues.', 4: 'Unity is software.', 5: 'Gamete isa cell.', 6: 'Meteorites are pieces of ancient material that survive their fall to Earth from space.', 7: 'An intestine is an organ.', 8: 'Cholera is rare in the United States.', 9: 'Farmers add fertilizer.'}
| 6 |
5,950 |
['One may reasonably assume that if oregano is also a popular herb in Mexican dishes and is used in making chili powder, then music is emotion.', "Whenever it is true that the statement that states either if shops are located in ocean floors, then evil action is manifested in evil or if oregano is also a popular herb in Mexican dishes and is used in making chili powder, then some people mistakenly believe that music is emotion is false, 'seeds often have an oil body and are dispersed by ants' is true.", 'Either exercising cause relaxation or those that suggest if shops are located in ocean floors, then evil action is manifested in evil are wrong.', 'Those that suggest exercising cause relaxation are wrong.', "At least one of two things is true: power effects every relationship in a person's life, or those that suggest seeds often have an oil body and are dispersed by ants are wrong.", "It is a fact that either if schools are where the children are, then water pressure is proportional to depth or it is not the case that power effects every relationship in a person's life.", 'The statement, if schools are where the children are, then water pressure is proportional to depth, does not hold.']
|
One may reasonably assume that if oregano is also a popular herb in Mexican dishes and is used in making chili powder, then music is emotion. Whenever it is true that the statement that states either if shops are located in ocean floors, then evil action is manifested in evil or if oregano is also a popular herb in Mexican dishes and is used in making chili powder, then some people mistakenly believe that music is emotion is false, 'seeds often have an oil body and are dispersed by ants' is true. Either exercising cause relaxation or those that suggest if shops are located in ocean floors, then evil action is manifested in evil are wrong. Those that suggest exercising cause relaxation are wrong. At least one of two things is true: power effects every relationship in a person's life, or those that suggest seeds often have an oil body and are dispersed by ants are wrong. It is a fact that either if schools are where the children are, then water pressure is proportional to depth or it is not the case that power effects every relationship in a person's life. The statement, if schools are where the children are, then water pressure is proportional to depth, does not hold.
|
We know that the claim that oregano is also a popular herb in Mexican dishes and is used in making chili powder is false.
|
The idea that oregano is also a popular herb in Mexican dishes and is used in making chili powder is true.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (If [0], then (Not [1].).). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either (If [2], then [3].) or (If [0], then (Not [1].).).).), then [5].
Not [5]. [SC2-3]
Therefore, Either (If [2], then [3].) or (If [0], then (Not [1].).)..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (Not [5].).
Not [6]. [SC2-4]
Therefore, Not [5]..
[SC2-4]
Disjunctive Syllogism:
Either (If [7], then [8].) or (Not [6].).
Not (If [7], then [8].).
Therefore, Not [6]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not (If [2], then [3].).).
Not [4].
Therefore, Not (If [2], then [3].)..
|
{0: 'Oregano is also a popular herb in Mexican dishes and is used in making chili powder.', 1: 'Music is emotion.', 2: 'Shops are located in ocean floors.', 3: 'Evil action is manifested in evil.', 4: 'Exercising cause relaxation.', 5: 'Seeds often have an oil body and are dispersed by ants.', 6: "Power effects every relationship in a person's life.", 7: 'Schools are where the children are.', 8: 'Water pressure is proportional to depth.'}
| 6 |
5,415 |
["The statement 'action research is a systematic examination of a question arising from a teacher's practice' can be considered true.", "Either immersion is baptism, without it there is no baptism or if action research is a systematic examination of a question arising from a teacher's practice, then if many desert animals are paler than their relatives elsewhere in more moderate environments, then the claim that water helps the body flush out toxins and transport nutrients to the body has no merit.", 'It is not the case that immersion is baptism, without it there is no baptism.', 'Provided that the claim that if pangolins have poor eyesights, then many desert animals are paler than their relatives elsewhere in more moderate environments has no merit, we know that either several studies show a relationship between high fat diets and increased lung cancer risk or facial scrubs are ones with very subtle grains, like finely milled apricot pits.', "So long as the claim that if pangolins have poor eyesights, then many desert animals are paler than their relatives elsewhere in more moderate environments has no merit, 'the notion that 'either several studies show a relationship between high fat diets and increased lung cancer risk or facial scrubs are ones with very subtle grains, like finely milled apricot pits' is untrue' is true.", "Once we know the statement that 'pangolins have poor eyesights' is incorrect, we also know that some parents produce yellow peas.", "Whenever it is true that the statement that 'pangolins have poor eyesights' is incorrect, 'it is not true that some parents produce yellow peas' is true."]
|
The statement 'action research is a systematic examination of a question arising from a teacher's practice' can be considered true. Either immersion is baptism, without it there is no baptism or if action research is a systematic examination of a question arising from a teacher's practice, then if many desert animals are paler than their relatives elsewhere in more moderate environments, then the claim that water helps the body flush out toxins and transport nutrients to the body has no merit. It is not the case that immersion is baptism, without it there is no baptism. Provided that the claim that if pangolins have poor eyesights, then many desert animals are paler than their relatives elsewhere in more moderate environments has no merit, we know that either several studies show a relationship between high fat diets and increased lung cancer risk or facial scrubs are ones with very subtle grains, like finely milled apricot pits. So long as the claim that if pangolins have poor eyesights, then many desert animals are paler than their relatives elsewhere in more moderate environments has no merit, 'the notion that 'either several studies show a relationship between high fat diets and increased lung cancer risk or facial scrubs are ones with very subtle grains, like finely milled apricot pits' is untrue' is true. Once we know the statement that 'pangolins have poor eyesights' is incorrect, we also know that some parents produce yellow peas. Whenever it is true that the statement that 'pangolins have poor eyesights' is incorrect, 'it is not true that some parents produce yellow peas' is true.
|
The claim that water helps the body flush out toxins and transport nutrients to the body has no merit.
|
The idea that water helps the body flush out toxins and transport nutrients to the body is true.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [1], then (Not [0].).). [SC1-2]
[2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If [2], then (If [1], then (Not [0].).).).
Not [7].
Therefore, If [2], then (If [1], then (Not [0].).)..
[SC2-1]
Modus Ponens:
If [3], then [1]. [SC1-2]
[3] [SC2-2]
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [3], then [1].).), then (Either [4] or [5].).
If (Not (If [3], then [1].).), then (Not (Either [4] or [5].).).
Therefore, If [3], then [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [6].
If (Not [3].), then (Not [6].).
Therefore, [3].
|
{0: 'Water helps the body flush out toxins and transport nutrients to the body.', 1: 'Many desert animals are paler than their relatives elsewhere in more moderate environments.', 2: "Action research is a systematic examination of a question arising from a teacher's practice.", 3: 'Pangolins have poor eyesights.', 4: 'Several studies show a relationship between high fat diets and increased lung cancer risk.', 5: 'Facial scrubs are ones with very subtle grains, like finely milled apricot pits.', 6: 'Some parents produce yellow peas.', 7: 'Immersion is baptism, without it there is no baptism.'}
| 6 |
5,100 |
['It is a fact that either passion does make money or at least leads to personal fulfillment and satisfaction or if infinity exists everywhere and nowhere both, then colloquiums are conferences.', "So long as if infinity exists everywhere and nowhere both, then colloquiums are conferences, 'either plant roots grow into cracks in rocks or evergreens have cone-shaped crowns which provide less shade on walls and roofs' is true.", 'There is good reason to believe that either most tropical timber is harvested to make pulp for paper production or drug addicted women can barely care for themselves and do a horrible job of caring for children.', 'Once we know passion does make money or at least leads to personal fulfillment and satisfaction, we also know that people can have natural changes in white blood cell counts depending on the time of day.', 'Provided that people can have natural changes in white blood cell counts depending on the time of day, we know that either plant roots grow into cracks in rocks or evergreens have cone-shaped crowns which provide less shade on walls and roofs.', "We know that at least one of two things is true: either frost protection is a vital part of cranberry farming or tobacco use is the most preventable cause of death in the United States, or if most tropical timber is harvested to make pulp for paper production, then the notion that 'plant roots grow into cracks in rocks' is untrue.", "The notion that 'either frost protection is a vital part of cranberry farming or tobacco use is the most preventable cause of death in the United States' is untrue.", "At least one of two things is true: some horns use in traditional medicine, or if drug addicted women can barely care for themselves and do a horrible job of caring for children, then the notion that 'plant roots grow into cracks in rocks' is untrue.", "The notion that 'some horns use in traditional medicine' is untrue."]
|
It is a fact that either passion does make money or at least leads to personal fulfillment and satisfaction or if infinity exists everywhere and nowhere both, then colloquiums are conferences. So long as if infinity exists everywhere and nowhere both, then colloquiums are conferences, 'either plant roots grow into cracks in rocks or evergreens have cone-shaped crowns which provide less shade on walls and roofs' is true. There is good reason to believe that either most tropical timber is harvested to make pulp for paper production or drug addicted women can barely care for themselves and do a horrible job of caring for children. Once we know passion does make money or at least leads to personal fulfillment and satisfaction, we also know that people can have natural changes in white blood cell counts depending on the time of day. Provided that people can have natural changes in white blood cell counts depending on the time of day, we know that either plant roots grow into cracks in rocks or evergreens have cone-shaped crowns which provide less shade on walls and roofs. We know that at least one of two things is true: either frost protection is a vital part of cranberry farming or tobacco use is the most preventable cause of death in the United States, or if most tropical timber is harvested to make pulp for paper production, then the notion that 'plant roots grow into cracks in rocks' is untrue. The notion that 'either frost protection is a vital part of cranberry farming or tobacco use is the most preventable cause of death in the United States' is untrue. At least one of two things is true: some horns use in traditional medicine, or if drug addicted women can barely care for themselves and do a horrible job of caring for children, then the notion that 'plant roots grow into cracks in rocks' is untrue. The notion that 'some horns use in traditional medicine' is untrue.
|
It is reasonable to believe that evergreens have cone-shaped crowns which provide less shade on walls and roofs.
|
It is reasonable to believe that evergreens have cone-shaped crowns which provide less shade on walls and roofs.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [4] or (If [5], then [6].).
If [4], then (Either [1] or [0].). [SC2-2]
If (If [5], then [6].), then (Either [1] or [0].).
Therefore, Either [1] or [0]..
[SC2-2]
Hypothetical Syllogism:
If [4], then [7].
If [7], then (Either [1] or [0].).
Therefore, If [4], then (Either [1] or [0].)..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either (Either [9] or [10].) or (If [2], then (Not [1].).).
Not (Either [9] or [10].).
Therefore, If [2], then (Not [1].)..
[SC3-2]
Disjunctive Syllogism:
Either [8] or (If [3], then (Not [1].).).
Not [8].
Therefore, If [3], then (Not [1].)..
|
{0: 'Evergreens have cone-shaped crowns which provide less shade on walls and roofs.', 1: 'Plant roots grow into cracks in rocks.', 2: 'Most tropical timber is harvested to make pulp for paper production.', 3: 'Drug addicted women can barely care for themselves and do a horrible job of caring for children.', 4: 'Passion does make money or at least leads to personal fulfillment and satisfaction.', 5: 'Infinity exists everywhere and nowhere both.', 6: 'Colloquiums are conferences.', 7: 'People can have natural changes in white blood cell counts depending on the time of day.', 8: 'Some horns use in traditional medicine.', 9: 'Frost protection is a vital part of cranberry farming.', 10: 'Tobacco use is the most preventable cause of death in the United States.'}
| 6 |
5,733 |
['The statement, inflation equals rising interest rates, does not hold.', 'Once we know many factors affect the type of environment available to dairy cows, we also know that resonance is physical phenomenons.', 'Provided that many factors affect the type of environment available to dairy cows, we know that the statement that states resonance is physical phenomenons is false.', 'When the claim that if it is not true that if the claim that roosters are tough old birds with low body fat and lean, ropey muscles does not correspond with reality, then inflation equals rising interest rates, then many factors affect the type of environment available to dairy cows does not correspond with reality is true, it follows that most trees have shades.', 'On the condition that most trees have shades, it is definitely the case that search engines work by using key words and site names.', 'Once we know the statement that states if the claim that if it is not true that if the claim that roosters are tough old birds with low body fat and lean, ropey muscles does not correspond with reality, then inflation equals rising interest rates, then many factors affect the type of environment available to dairy cows does not correspond with reality, then the statement that states search engines work by using key words and site names is false is false, we also know that if force is a threatening type of social action, then businessman isa person.', 'One may reasonably assume that if the statement that states if the claim that if it is not true that if the claim that roosters are tough old birds with low body fat and lean, ropey muscles does not correspond with reality, then inflation equals rising interest rates, then many factors affect the type of environment available to dairy cows does not correspond with reality, then the statement that states search engines work by using key words and site names is false is false, then it is not the case that if force is a threatening type of social action, then businessman isa person.']
|
The statement, inflation equals rising interest rates, does not hold. Once we know many factors affect the type of environment available to dairy cows, we also know that resonance is physical phenomenons. Provided that many factors affect the type of environment available to dairy cows, we know that the statement that states resonance is physical phenomenons is false. When the claim that if it is not true that if the claim that roosters are tough old birds with low body fat and lean, ropey muscles does not correspond with reality, then inflation equals rising interest rates, then many factors affect the type of environment available to dairy cows does not correspond with reality is true, it follows that most trees have shades. On the condition that most trees have shades, it is definitely the case that search engines work by using key words and site names. Once we know the statement that states if the claim that if it is not true that if the claim that roosters are tough old birds with low body fat and lean, ropey muscles does not correspond with reality, then inflation equals rising interest rates, then many factors affect the type of environment available to dairy cows does not correspond with reality, then the statement that states search engines work by using key words and site names is false is false, we also know that if force is a threatening type of social action, then businessman isa person. One may reasonably assume that if the statement that states if the claim that if it is not true that if the claim that roosters are tough old birds with low body fat and lean, ropey muscles does not correspond with reality, then inflation equals rising interest rates, then many factors affect the type of environment available to dairy cows does not correspond with reality, then the statement that states search engines work by using key words and site names is false is false, then it is not the case that if force is a threatening type of social action, then businessman isa person.
|
The statement 'roosters are tough old birds with low body fat and lean, ropey muscles' is true.
|
Roosters are omnivores.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [4]. [SC1-3]
If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then (Not [4].). [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [5].
If [5], then [4].
Therefore, If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [4]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then (Not [4].).).), then (If [6], then [7].).
If (Not (If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then (Not [4].).).), then (Not (If [6], then [7].).).
Therefore, If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then (Not [4].)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [3].
If [2], then (Not [3].).
Therefore, Not [2]..
|
{0: 'Roosters are tough old birds with low body fat and lean, ropey muscles.', 1: 'Inflation equals rising interest rates.', 2: 'Many factors affect the type of environment available to dairy cows.', 3: 'Resonance is physical phenomenons.', 4: 'Search engines work by using key words and site names.', 5: 'Most trees have shades.', 6: 'Force is a threatening type of social action.', 7: 'Businessman isa person.'}
| 6 |
5,689 |
['When mantra meditation is a method that can help athletes who have high levels of mental anxiety is true, it follows that if zoonoses are diseases that are transmissible between animals and humans, then scratching is a natural behavior necessary to remove old claw coverings.', 'We know that at least one of two things is true: eosinophils are chemotoxic and kill parasites, or black pepper is ubiquitous in the modern world as a seasoning and is often paired with salt .', 'Given that black pepper is ubiquitous in the modern world as a seasoning and is often paired with salt , it can be inferred that zoonoses are diseases that are transmissible between animals and humans.', 'There is good reason to believe that either protozoal diseases affecting dogs include coccidiosis, giardia, leishmaniasis, and babesiosis or mantra meditation is a method that can help athletes who have high levels of mental anxiety.', 'The claim that protozoal diseases affecting dogs include coccidiosis, giardia, leishmaniasis, and babesiosis is false.', 'Either one or both of these statements are true: either education is compulsory for children until they reach the age of sixteen years or democracy requires human rights for everyone, everywhere, or starlings have (part) chest cavities.', 'Given that starlings have (part) chest cavities, it can be inferred that if eosinophils are chemotoxic and kill parasites, then zoonoses are diseases that are transmissible between animals and humans.', 'Should it be the case that days have (part) minutes, it follows that if either education is compulsory for children until they reach the age of sixteen years or democracy requires human rights for everyone, everywhere, then if eosinophils are chemotoxic and kill parasites, then zoonoses are diseases that are transmissible between animals and humans.', 'days have (part) minutes.']
|
When mantra meditation is a method that can help athletes who have high levels of mental anxiety is true, it follows that if zoonoses are diseases that are transmissible between animals and humans, then scratching is a natural behavior necessary to remove old claw coverings. We know that at least one of two things is true: eosinophils are chemotoxic and kill parasites, or black pepper is ubiquitous in the modern world as a seasoning and is often paired with salt . Given that black pepper is ubiquitous in the modern world as a seasoning and is often paired with salt , it can be inferred that zoonoses are diseases that are transmissible between animals and humans. There is good reason to believe that either protozoal diseases affecting dogs include coccidiosis, giardia, leishmaniasis, and babesiosis or mantra meditation is a method that can help athletes who have high levels of mental anxiety. The claim that protozoal diseases affecting dogs include coccidiosis, giardia, leishmaniasis, and babesiosis is false. Either one or both of these statements are true: either education is compulsory for children until they reach the age of sixteen years or democracy requires human rights for everyone, everywhere, or starlings have (part) chest cavities. Given that starlings have (part) chest cavities, it can be inferred that if eosinophils are chemotoxic and kill parasites, then zoonoses are diseases that are transmissible between animals and humans. Should it be the case that days have (part) minutes, it follows that if either education is compulsory for children until they reach the age of sixteen years or democracy requires human rights for everyone, everywhere, then if eosinophils are chemotoxic and kill parasites, then zoonoses are diseases that are transmissible between animals and humans. days have (part) minutes.
|
Many people rightly believe that scratching is a natural behavior necessary to remove old claw coverings.
|
The claim that scratching is a natural behavior necessary to remove old claw coverings is false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If [1], then [0].).
[2] [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or [2].
Not [5].
Therefore, [2].
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then [1]. [SC2-2]
If [4], then [1].
Therefore, [1].
[SC2-2]
Disjunction Elimination:
Either (Either [6] or [7].) or [8].
If (Either [6] or [7].), then (If [3], then [1].). [SC2-3]
If [8], then (If [3], then [1].).
Therefore, If [3], then [1]..
[SC2-3]
Modus Ponens:
If [9], then (If (Either [6] or [7].), then (If [3], then [1].).).
[9]
Therefore, If (Either [6] or [7].), then (If [3], then [1].)..
|
{0: 'Scratching is a natural behavior necessary to remove old claw coverings.', 1: 'Zoonoses are diseases that are transmissible between animals and humans.', 2: 'Mantra meditation is a method that can help athletes who have high levels of mental anxiety.', 3: 'Eosinophils are chemotoxic and kill parasites.', 4: 'Black pepper is ubiquitous in the modern world as a seasoning and is often paired with salt .', 5: 'Protozoal diseases affecting dogs include coccidiosis, giardia, leishmaniasis, and babesiosis.', 6: 'Education is compulsory for children until they reach the age of sixteen years.', 7: 'Democracy requires human rights for everyone, everywhere.', 8: 'Starlings have (part) chest cavities.', 9: 'Days have (part) minutes.'}
| 6 |
5,229 |
["Provided that the statement 'evolution is Science' can be considered false, we know that contemplative life means the supreme level of the academic life, the search for truth.", "Once we know if classification is a type of censorship and discriminates against minorities, then some states actually have to import sand to make concrete, we also know that if the statement 'evolution is Science' can be considered false, then the notion that 'contemplative life means the supreme level of the academic life, the search for truth' is untrue.", "Whenever it is true that the statement that states if classification is a type of censorship and discriminates against minorities, then some states actually have to import sand to make concrete is false, 'the statement that 'female nymphs resemble the larger adult females' is incorrect' is true.", "Provided that we know that the claim that if the notion that 'if the statement that states if classification is a type of censorship and discriminates against minorities, then some states actually have to import sand to make concrete is false, then female nymphs resemble the larger adult females' is untrue, then lines are part of transportation systems is false, we know that gravity acts like a string to hold satellites in a circle.", 'Those that suggest gravity acts like a string to hold satellites in a circle are wrong.', "When the statement that states if the notion that 'if the statement that states if classification is a type of censorship and discriminates against minorities, then some states actually have to import sand to make concrete is false, then female nymphs resemble the larger adult females' is untrue, then the claim that lines are part of transportation systems is false is false is true, it follows that if day embryos develop into embryos, then pancreas isa gland.", "Whenever it is true that the statement that states if the notion that 'if the statement that states if classification is a type of censorship and discriminates against minorities, then some states actually have to import sand to make concrete is false, then female nymphs resemble the larger adult females' is untrue, then the claim that lines are part of transportation systems is false is false, 'some people mistakenly believe that if day embryos develop into embryos, then pancreas isa gland' is true."]
|
Provided that the statement 'evolution is Science' can be considered false, we know that contemplative life means the supreme level of the academic life, the search for truth. Once we know if classification is a type of censorship and discriminates against minorities, then some states actually have to import sand to make concrete, we also know that if the statement 'evolution is Science' can be considered false, then the notion that 'contemplative life means the supreme level of the academic life, the search for truth' is untrue. Whenever it is true that the statement that states if classification is a type of censorship and discriminates against minorities, then some states actually have to import sand to make concrete is false, 'the statement that 'female nymphs resemble the larger adult females' is incorrect' is true. Provided that we know that the claim that if the notion that 'if the statement that states if classification is a type of censorship and discriminates against minorities, then some states actually have to import sand to make concrete is false, then female nymphs resemble the larger adult females' is untrue, then lines are part of transportation systems is false, we know that gravity acts like a string to hold satellites in a circle. Those that suggest gravity acts like a string to hold satellites in a circle are wrong. When the statement that states if the notion that 'if the statement that states if classification is a type of censorship and discriminates against minorities, then some states actually have to import sand to make concrete is false, then female nymphs resemble the larger adult females' is untrue, then the claim that lines are part of transportation systems is false is false is true, it follows that if day embryos develop into embryos, then pancreas isa gland. Whenever it is true that the statement that states if the notion that 'if the statement that states if classification is a type of censorship and discriminates against minorities, then some states actually have to import sand to make concrete is false, then female nymphs resemble the larger adult females' is untrue, then the claim that lines are part of transportation systems is false is false, 'some people mistakenly believe that if day embryos develop into embryos, then pancreas isa gland' is true.
|
It is fair to say that evolution is Science.
|
It is fair to say that evolution is Science.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If (If [2], then [3].), then (If (Not [0].), then (Not [1].).).
If [2], then [3]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then [3].).), then [4]. [SC1-3]
If (Not (If [2], then [3].).), then (Not [4].).
Therefore, If [2], then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then [3].).), then [4].).), then [5]. [SC1-4]
If (Not (If (Not (If [2], then [3].).), then [4].).), then (Not [5].). [SC2-4]
Therefore, If (Not (If [2], then [3].).), then [4]..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If (Not (If [2], then [3].).), then [4].).), then [5].).), then [6].
Not [6].
Therefore, If (Not (If (Not (If [2], then [3].).), then [4].).), then [5]..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If [2], then [3].).), then [4].).), then (Not [5].).).), then (If [7], then [8].).
If (Not (If (Not (If (Not (If [2], then [3].).), then [4].).), then (Not [5].).).), then (Not (If [7], then [8].).).
Therefore, If (Not (If (Not (If [2], then [3].).), then [4].).), then (Not [5].)..
|
{0: 'Evolution is Science.', 1: 'Contemplative life means the supreme level of the academic life, the search for truth.', 2: 'Classification is a type of censorship and discriminates against minorities.', 3: 'Some states actually have to import sand to make concrete.', 4: 'Female nymphs resemble the larger adult females.', 5: 'Lines are part of transportation systems.', 6: 'Gravity acts like a string to hold satellites in a circle.', 7: 'Day embryos develop into embryos.', 8: 'Pancreas isa gland.'}
| 6 |
5,334 |
['Once we know ferrets are social and playful by nature, we also know that muscles contain fiber.', 'If vacuoles seen in some cells represent dissolved lipid droplets, then ferrets are social and playful by nature.', "So long as defoliation is possible relative to population levels, 'people look at clock faces' is true.", 'Assuming validity refers to the accuracy with which an assessment measures what it is intended to measure, we know that if people look at clock faces, then muscles contain fiber.', 'It is rational to believe that either insecurity is what they know, it is the kind of relationship they are familiar with or tigers live in dense bush or forest.', 'Once we know tigers live in dense bush or forest, we also know that either vacuoles seen in some cells represent dissolved lipid droplets or defoliation is possible relative to population levels.', 'Assuming members become counselors, we know that validity refers to the accuracy with which an assessment measures what it is intended to measure.', 'The claim that members become counselors is true.', "One may reasonably assume that if if oceans cover more than two-thirds of the earth's surface, then culture is still primarily dependent on the natural spawning season for production of eggs, then if insecurity is what they know, it is the kind of relationship they are familiar with, then either vacuoles seen in some cells represent dissolved lipid droplets or defoliation is possible relative to population levels.", "Provided that oceans cover more than two-thirds of the earth's surface, we know that culture is still primarily dependent on the natural spawning season for production of eggs."]
|
Once we know ferrets are social and playful by nature, we also know that muscles contain fiber. If vacuoles seen in some cells represent dissolved lipid droplets, then ferrets are social and playful by nature. So long as defoliation is possible relative to population levels, 'people look at clock faces' is true. Assuming validity refers to the accuracy with which an assessment measures what it is intended to measure, we know that if people look at clock faces, then muscles contain fiber. It is rational to believe that either insecurity is what they know, it is the kind of relationship they are familiar with or tigers live in dense bush or forest. Once we know tigers live in dense bush or forest, we also know that either vacuoles seen in some cells represent dissolved lipid droplets or defoliation is possible relative to population levels. Assuming members become counselors, we know that validity refers to the accuracy with which an assessment measures what it is intended to measure. The claim that members become counselors is true. One may reasonably assume that if if oceans cover more than two-thirds of the earth's surface, then culture is still primarily dependent on the natural spawning season for production of eggs, then if insecurity is what they know, it is the kind of relationship they are familiar with, then either vacuoles seen in some cells represent dissolved lipid droplets or defoliation is possible relative to population levels. Provided that oceans cover more than two-thirds of the earth's surface, we know that culture is still primarily dependent on the natural spawning season for production of eggs.
|
muscles contain fiber.
|
Most muscles have proteins.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [4] or [5]. [SC1-2]
If [4], then [1].
If [5], then [2].
Therefore, Either [1] or [2]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [4] or [5].). [SC2-3]
If [7], then (Either [4] or [5].).
Therefore, Either [4] or [5]..
[SC2-3]
Modus Ponens:
If (If [9], then [10].), then (If [6], then (Either [4] or [5].).).
If [9], then [10].
Therefore, If [6], then (Either [4] or [5].)..
[SC3-1]
Modus Ponens:
If [3], then (If [2], then [0].).
[3] [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Modus Ponens:
If [8], then [3].
[8]
Therefore, [3].
|
{0: 'Muscles contain fiber.', 1: 'Ferrets are social and playful by nature.', 2: 'People look at clock faces.', 3: 'Validity refers to the accuracy with which an assessment measures what it is intended to measure.', 4: 'Vacuoles seen in some cells represent dissolved lipid droplets.', 5: 'Defoliation is possible relative to population levels.', 6: 'Insecurity is what they know, it is the kind of relationship they are familiar with.', 7: 'Tigers live in dense bush or forest.', 8: 'Members become counselors.', 9: "Oceans cover more than two-thirds of the earth's surface.", 10: 'Culture is still primarily dependent on the natural spawning season for production of eggs.'}
| 6 |
5,627 |
['The claim that echidnas are solitary animals that are adaptable to many different environments is false.', "Whenever it is true that the statement 'either society tends to stereotype men as wage earners and disciplinarians or if either skimmed milk is more popular in the United States than Britain or creation stories are inherent in most cultures and have close ties with religion, then echidnas are solitary animals that are adaptable to many different environments' can be considered false, 'it is a common misconception that systemic infections can be life threatening, especially in the immunocompromised host' is true.", 'It is a simple truth that digitalization is medical care.', "Given that the statement that 'if the statement 'either society tends to stereotype men as wage earners and disciplinarians or if either skimmed milk is more popular in the United States than Britain or creation stories are inherent in most cultures and have close ties with religion, then echidnas are solitary animals that are adaptable to many different environments' can be considered false, then systemic infections can be life threatening, especially in the immunocompromised host' is incorrect, it can be inferred that school Psychologists provide both indirect and direct services to students and families.", "The notion that 'school Psychologists provide both indirect and direct services to students and families' is untrue.", 'Either one or both of these statements are true: surgical intervention is the treatment of choice, or abuse is illegal, immoral, and inhumane.', 'Once we know surgical intervention is the treatment of choice, we also know that if digitalization is medical care, then it is not the case that society tends to stereotype men as wage earners and disciplinarians.', 'On the condition that abuse is illegal, immoral, and inhumane, it is definitely the case that if digitalization is medical care, then it is not the case that society tends to stereotype men as wage earners and disciplinarians.']
|
The claim that echidnas are solitary animals that are adaptable to many different environments is false. Whenever it is true that the statement 'either society tends to stereotype men as wage earners and disciplinarians or if either skimmed milk is more popular in the United States than Britain or creation stories are inherent in most cultures and have close ties with religion, then echidnas are solitary animals that are adaptable to many different environments' can be considered false, 'it is a common misconception that systemic infections can be life threatening, especially in the immunocompromised host' is true. It is a simple truth that digitalization is medical care. Given that the statement that 'if the statement 'either society tends to stereotype men as wage earners and disciplinarians or if either skimmed milk is more popular in the United States than Britain or creation stories are inherent in most cultures and have close ties with religion, then echidnas are solitary animals that are adaptable to many different environments' can be considered false, then systemic infections can be life threatening, especially in the immunocompromised host' is incorrect, it can be inferred that school Psychologists provide both indirect and direct services to students and families. The notion that 'school Psychologists provide both indirect and direct services to students and families' is untrue. Either one or both of these statements are true: surgical intervention is the treatment of choice, or abuse is illegal, immoral, and inhumane. Once we know surgical intervention is the treatment of choice, we also know that if digitalization is medical care, then it is not the case that society tends to stereotype men as wage earners and disciplinarians. On the condition that abuse is illegal, immoral, and inhumane, it is definitely the case that if digitalization is medical care, then it is not the case that society tends to stereotype men as wage earners and disciplinarians.
|
The claim that either skimmed milk is more popular in the United States than Britain or creation stories are inherent in most cultures and have close ties with religion does not correspond with reality.
|
The claim that either skimmed milk is more popular in the United States than Britain or creation stories are inherent in most cultures and have close ties with religion does not correspond with reality.
|
TRUE
|
Modus Tonens:
If (Either [0] or [1].), then [2]. [SC1-1]
Not [2].
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Either [0] or [1].), then [2].). [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Either [0] or [1].), then [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (If (Either [0] or [1].), then [2].).).), then [5]. [SC1-3]
If (Not (Either [3] or (If (Either [0] or [1].), then [2].).).), then (Not [5].).
Therefore, Either [3] or (If (Either [0] or [1].), then [2].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (Either [3] or (If (Either [0] or [1].), then [2].).).), then [5].).), then [8].
Not [8].
Therefore, If (Not (Either [3] or (If (Either [0] or [1].), then [2].).).), then [5]..
[SC2-2]
Modus Ponens:
If [4], then (Not [3].). [SC1-3]
[4]
Therefore, Not [3]..
[SC1-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [4], then (Not [3].).).
If [7], then (If [4], then (Not [3].).).
Therefore, If [4], then (Not [3].)..
|
{0: 'Skimmed milk is more popular in the United States than Britain .', 1: 'Creation stories are inherent in most cultures and have close ties with religion.', 2: 'Echidnas are solitary animals that are adaptable to many different environments.', 3: 'Society tends to stereotype men as wage earners and disciplinarians.', 4: 'Digitalization is medical care.', 5: 'Systemic infections can be life threatening, especially in the immunocompromised host.', 6: 'Surgical intervention is the treatment of choice.', 7: 'Abuse is illegal, immoral, and inhumane.', 8: 'School Psychologists provide both indirect and direct services to students and families.'}
| 6 |
5,702 |
['If the claim that pelvic floor exercises benefit both types of incontinence is false, then molds directly affect grain value.', 'Provided that the claim that if good nutrition is important for everyone, then the claim that molds directly affect grain value does not reflect reality has no merit, we know that stalls are compartments.', "So long as the claim that if good nutrition is important for everyone, then the claim that molds directly affect grain value does not reflect reality has no merit, 'the notion that 'stalls are compartments' is untrue' is true.", "Whenever it is true that the claim that good nutrition is important for everyone is false, 'the statement that states snakes are located in caves is false' is true.", "So long as computer modeling is used to predict behavior of neural circuits, 'if the claim that good nutrition is important for everyone is false, then snakes are located in caves' is true.", 'It is a fact that either worms resemble larvae or geologists analyze earth samples.', 'Once we know worms resemble larvae, we also know that computer modeling is used to predict behavior of neural circuits.', 'Provided that geologists analyze earth samples, we know that computer modeling is used to predict behavior of neural circuits.']
|
If the claim that pelvic floor exercises benefit both types of incontinence is false, then molds directly affect grain value. Provided that the claim that if good nutrition is important for everyone, then the claim that molds directly affect grain value does not reflect reality has no merit, we know that stalls are compartments. So long as the claim that if good nutrition is important for everyone, then the claim that molds directly affect grain value does not reflect reality has no merit, 'the notion that 'stalls are compartments' is untrue' is true. Whenever it is true that the claim that good nutrition is important for everyone is false, 'the statement that states snakes are located in caves is false' is true. So long as computer modeling is used to predict behavior of neural circuits, 'if the claim that good nutrition is important for everyone is false, then snakes are located in caves' is true. It is a fact that either worms resemble larvae or geologists analyze earth samples. Once we know worms resemble larvae, we also know that computer modeling is used to predict behavior of neural circuits. Provided that geologists analyze earth samples, we know that computer modeling is used to predict behavior of neural circuits.
|
It is fair to say that pelvic floor exercises benefit both types of incontinence.
|
Pelvic floor exercise The muscles that form the pelvic floor play a vital role in providing support.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then (Not [1].).).), then [3].
If (Not (If [2], then (Not [1].).).), then (Not [3].).
Therefore, If [2], then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [2].), then [4]. [SC1-3]
If (Not [2].), then (Not [4].).
Therefore, [2].
[SC1-3]
Modus Ponens:
If [5], then (If (Not [2].), then [4].).
[5] [SC2-4]
Therefore, If (Not [2].), then [4]..
[SC2-4]
Disjunction Elimination:
Either [6] or [7].
If [6], then [5].
If [7], then [5].
Therefore, [5].
|
{0: 'Pelvic floor exercises benefit both types of incontinence.', 1: 'Molds directly affect grain value.', 2: 'Good nutrition is important for everyone.', 3: 'Stalls are compartments.', 4: 'Snakes are located in caves.', 5: 'Computer modeling is used to predict behavior of neural circuits.', 6: 'Worms resemble larvae.', 7: 'Geologists analyze earth samples.'}
| 6 |
5,878 |
['Should it be the case that some waterbucks have patches, it follows that either neos are airlines or capital is the tools needed to produce things of value out of raw materials.', "The statement 'some waterbucks have patches' is true.", "So long as neos are airlines, 'pollutants range from elevated temperature to dioxins and bioaccumulative chemicals' is true.", 'If pollutants range from elevated temperature to dioxins and bioaccumulative chemicals, then a minesweeper is a ship.', 'We know that either younger children suffer a higher proportion of head injuries than older children or either information helps medical care or umbilical cord is a duct.', 'Provided that younger children suffer a higher proportion of head injuries than older children, we know that if capital is the tools needed to produce things of value out of raw materials, then people have two sets of chromosomes.', 'The statement, yoga is very similar to stretching and is usually performed in a series of movements, does not hold.', "Once we know the statement that 'if either information helps medical care or umbilical cord is a duct, then if capital is the tools needed to produce things of value out of raw materials, then people have two sets of chromosomes' is incorrect, we also know that grandfathers can have a great influence on the religious development of their grandchildren.", 'Provided that grandfathers can have a great influence on the religious development of their grandchildren, we know that yoga is very similar to stretching and is usually performed in a series of movements.']
|
Should it be the case that some waterbucks have patches, it follows that either neos are airlines or capital is the tools needed to produce things of value out of raw materials. The statement 'some waterbucks have patches' is true. So long as neos are airlines, 'pollutants range from elevated temperature to dioxins and bioaccumulative chemicals' is true. If pollutants range from elevated temperature to dioxins and bioaccumulative chemicals, then a minesweeper is a ship. We know that either younger children suffer a higher proportion of head injuries than older children or either information helps medical care or umbilical cord is a duct. Provided that younger children suffer a higher proportion of head injuries than older children, we know that if capital is the tools needed to produce things of value out of raw materials, then people have two sets of chromosomes. The statement, yoga is very similar to stretching and is usually performed in a series of movements, does not hold. Once we know the statement that 'if either information helps medical care or umbilical cord is a duct, then if capital is the tools needed to produce things of value out of raw materials, then people have two sets of chromosomes' is incorrect, we also know that grandfathers can have a great influence on the religious development of their grandchildren. Provided that grandfathers can have a great influence on the religious development of their grandchildren, we know that yoga is very similar to stretching and is usually performed in a series of movements.
|
We know that at least one of two things is true: a minesweeper is a ship, or people have two sets of chromosomes.
|
We know that the claim that either a minesweeper is a ship or people have two sets of chromosomes is false.
|
FALSE
|
Constructive Dilemma:
Either [2] or [3]. [SC1-1]
If [2], then [0]. [SC2-1]
If [3], then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [8], then (Either [2] or [3].).
[8]
Therefore, Either [2] or [3]..
[SC2-1]
Hypothetical Syllogism:
If [2], then [4].
If [4], then [0].
Therefore, If [2], then [0]..
[SC3-1]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (If [3], then [1].).
If (Either [6] or [7].), then (If [3], then [1].). [SC3-2]
Therefore, If [3], then [1]..
[SC3-2]
Modus Tonens:
If (Not (If (Either [6] or [7].), then (If [3], then [1].).).), then [9]. [SC1-3]
Not [9].
Therefore, If (Either [6] or [7].), then (If [3], then [1].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If (Either [6] or [7].), then (If [3], then [1].).).), then [10].
If [10], then [9].
Therefore, If (Not (If (Either [6] or [7].), then (If [3], then [1].).).), then [9]..
|
{0: 'A minesweeper is a ship.', 1: 'People have two sets of chromosomes.', 2: 'Neos are airlines.', 3: 'Capital is the tools needed to produce things of value out of raw materials.', 4: 'Pollutants range from elevated temperature to dioxins and bioaccumulative chemicals.', 5: 'Younger children suffer a higher proportion of head injuries than older children.', 6: 'Information helps medical care.', 7: 'Umbilical cord is a duct.', 8: 'Some waterbucks have patches.', 9: 'Yoga is very similar to stretching and is usually performed in a series of movements.', 10: 'Grandfathers can have a great influence on the religious development of their grandchildren.'}
| 6 |
5,482 |
['It is rational to believe that either either trees block some sunlight and help make different environments within the rain forest or heart disease can cause angina pectoris, a chest pain that can follow physical activity or declarative clauses are ambiguous between propositions and facts.', 'Given that either trees block some sunlight and help make different environments within the rain forest or heart disease can cause angina pectoris, a chest pain that can follow physical activity, it can be inferred that medical algorithms model a purely absorptive object with a background light source.', "When the statement that states if the notion that 'if declarative clauses are ambiguous between propositions and facts, then medical algorithms model a purely absorptive object with a background light source' is untrue, then hate crimes leave victims and targeted groups feeling alienated, helpless, suspicious, and fearful is false is true, it follows that aquatic plants have results.", 'If hate crimes leave victims and targeted groups feeling alienated, helpless, suspicious, and fearful, then the statement that states more cancers occur on the skin than any other anatomic site is false.', "Given that molecular hydrogen has two main roles in interstellar space, it can be inferred that if the statement that states if the notion that 'if declarative clauses are ambiguous between propositions and facts, then medical algorithms model a purely absorptive object with a background light source' is untrue, then hate crimes leave victims and targeted groups feeling alienated, helpless, suspicious, and fearful is false, then we know that the claim that aquatic plants have results is false.", 'The claim that molecular hydrogen has two main roles in interstellar space is true.', "We know that at least one of two things is true: if turbulence is what happens when the wind gets bumpy, then modern geology recognizes many geological cycles, or if scorpions are nocturnal, have eight legs and have a tail that curves upward toward the back, then worldliness is one of the greatest dangers that beset man's soul.", "Whenever it is true that if turbulence is what happens when the wind gets bumpy, then modern geology recognizes many geological cycles, 'if hate crimes leave victims and targeted groups feeling alienated, helpless, suspicious, and fearful, then more cancers occur on the skin than any other anatomic site' is true.", "On the condition that if scorpions are nocturnal, have eight legs and have a tail that curves upward toward the back, then worldliness is one of the greatest dangers that beset man's soul, it is definitely the case that if hate crimes leave victims and targeted groups feeling alienated, helpless, suspicious, and fearful, then more cancers occur on the skin than any other anatomic site."]
|
It is rational to believe that either either trees block some sunlight and help make different environments within the rain forest or heart disease can cause angina pectoris, a chest pain that can follow physical activity or declarative clauses are ambiguous between propositions and facts. Given that either trees block some sunlight and help make different environments within the rain forest or heart disease can cause angina pectoris, a chest pain that can follow physical activity, it can be inferred that medical algorithms model a purely absorptive object with a background light source. When the statement that states if the notion that 'if declarative clauses are ambiguous between propositions and facts, then medical algorithms model a purely absorptive object with a background light source' is untrue, then hate crimes leave victims and targeted groups feeling alienated, helpless, suspicious, and fearful is false is true, it follows that aquatic plants have results. If hate crimes leave victims and targeted groups feeling alienated, helpless, suspicious, and fearful, then the statement that states more cancers occur on the skin than any other anatomic site is false. Given that molecular hydrogen has two main roles in interstellar space, it can be inferred that if the statement that states if the notion that 'if declarative clauses are ambiguous between propositions and facts, then medical algorithms model a purely absorptive object with a background light source' is untrue, then hate crimes leave victims and targeted groups feeling alienated, helpless, suspicious, and fearful is false, then we know that the claim that aquatic plants have results is false. The claim that molecular hydrogen has two main roles in interstellar space is true. We know that at least one of two things is true: if turbulence is what happens when the wind gets bumpy, then modern geology recognizes many geological cycles, or if scorpions are nocturnal, have eight legs and have a tail that curves upward toward the back, then worldliness is one of the greatest dangers that beset man's soul. Whenever it is true that if turbulence is what happens when the wind gets bumpy, then modern geology recognizes many geological cycles, 'if hate crimes leave victims and targeted groups feeling alienated, helpless, suspicious, and fearful, then more cancers occur on the skin than any other anatomic site' is true. On the condition that if scorpions are nocturnal, have eight legs and have a tail that curves upward toward the back, then worldliness is one of the greatest dangers that beset man's soul, it is definitely the case that if hate crimes leave victims and targeted groups feeling alienated, helpless, suspicious, and fearful, then more cancers occur on the skin than any other anatomic site.
|
It is true that medical algorithms model a purely absorptive object with a background light source.
|
It is true that medical algorithms model a purely absorptive object with a background light source.
|
TRUE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3].
If (Either [1] or [2].), then [0].
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Modus Tonens:
If (Not (If [3], then [0].).), then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, If [3], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [3], then [0].).), then [4].).), then [5].
If (Not (If (Not (If [3], then [0].).), then [4].).), then (Not [5].). [SC2-3]
Therefore, If (Not (If [3], then [0].).), then [4]..
[SC2-3]
Modus Ponens:
If [7], then (If (Not (If (Not (If [3], then [0].).), then [4].).), then (Not [5].).).
[7]
Therefore, If (Not (If (Not (If [3], then [0].).), then [4].).), then (Not [5].)..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [6]. [SC1-3]
If [4], then (Not [6].).
Therefore, Not [4]..
[SC1-3]
Disjunction Elimination:
Either (If [8], then [9].) or (If [10], then [11].).
If (If [8], then [9].), then (If [4], then [6].).
If (If [10], then [11].), then (If [4], then [6].).
Therefore, If [4], then [6]..
|
{0: 'Medical algorithms model a purely absorptive object with a background light source.', 1: 'Trees block some sunlight and help make different environments within the rain forest.', 2: 'Heart disease can cause angina pectoris, a chest pain that can follow physical activity.', 3: 'Declarative clauses are ambiguous between propositions and facts.', 4: 'Hate crimes leave victims and targeted groups feeling alienated, helpless, suspicious, and fearful.', 5: 'Aquatic plants have results.', 6: 'More cancers occur on the skin than any other anatomic site.', 7: 'Molecular hydrogen has two main roles in interstellar space.', 8: 'Turbulence is what happens when the wind gets bumpy.', 9: 'Modern geology recognizes many geological cycles.', 10: 'Scorpions are nocturnal, have eight legs and have a tail that curves upward toward the back.', 11: "Worldliness is one of the greatest dangers that beset man's soul."}
| 6 |
5,919 |
["On the condition that trade is trade, it is definitely the case that the statement 'synthetic zeolites have various applications in industry' can be considered false.", "One may reasonably assume that if if colloids are suspensions of tiny particles of one substance dispersed in an other phase, then rocks are as hard and sharp as spears, then the statement 'synthetic zeolites have various applications in industry' can be considered false.", 'Given that child abuse occurs in every age group, every race, every religion and every economic group, it can be inferred that either trade is trade or if colloids are suspensions of tiny particles of one substance dispersed in an other phase, then rocks are as hard and sharp as spears.', 'Provided that garlic mustard is also locally common in the Quebec City region, we know that either trade is trade or if colloids are suspensions of tiny particles of one substance dispersed in an other phase, then rocks are as hard and sharp as spears.', "So long as the claim that either child abuse occurs in every age group, every race, every religion and every economic group or garlic mustard is also locally common in the Quebec City region has no merit, 'violence is a learned behavior and like any learned behavior, it can be changed' is true.", 'Should it be the case that violence is a learned behavior and like any learned behavior, it can be changed, it follows that exercise is as important to weight loss or maintenance as calorie intake.', 'Provided that historical evidence supports occurrences, we know that some people mistakenly believe that exercise is as important to weight loss or maintenance as calorie intake.', "So long as it is a common misconception that historical evidence supports occurrences, 'naturalizations are the result of imported plants used as ornamentals' is true.", 'The statement that states naturalizations are the result of imported plants used as ornamentals is false.']
|
On the condition that trade is trade, it is definitely the case that the statement 'synthetic zeolites have various applications in industry' can be considered false. One may reasonably assume that if if colloids are suspensions of tiny particles of one substance dispersed in an other phase, then rocks are as hard and sharp as spears, then the statement 'synthetic zeolites have various applications in industry' can be considered false. Given that child abuse occurs in every age group, every race, every religion and every economic group, it can be inferred that either trade is trade or if colloids are suspensions of tiny particles of one substance dispersed in an other phase, then rocks are as hard and sharp as spears. Provided that garlic mustard is also locally common in the Quebec City region, we know that either trade is trade or if colloids are suspensions of tiny particles of one substance dispersed in an other phase, then rocks are as hard and sharp as spears. So long as the claim that either child abuse occurs in every age group, every race, every religion and every economic group or garlic mustard is also locally common in the Quebec City region has no merit, 'violence is a learned behavior and like any learned behavior, it can be changed' is true. Should it be the case that violence is a learned behavior and like any learned behavior, it can be changed, it follows that exercise is as important to weight loss or maintenance as calorie intake. Provided that historical evidence supports occurrences, we know that some people mistakenly believe that exercise is as important to weight loss or maintenance as calorie intake. So long as it is a common misconception that historical evidence supports occurrences, 'naturalizations are the result of imported plants used as ornamentals' is true. The statement that states naturalizations are the result of imported plants used as ornamentals is false.
|
The statement 'synthetic zeolites have various applications in industry' can be considered false.
|
We can assume that synthetic zeolites have various applications in industry.
|
FALSE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].). [SC1-1]
If [1], then (Not [0].).
If (If [2], then [3].), then (Not [0].).
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (Either [1] or (If [2], then [3].).).
If [5], then (Either [1] or (If [2], then [3].).).
Therefore, Either [1] or (If [2], then [3].)..
[SC1-2]
Modus Tonens:
If (Not (Either [4] or [5].).), then [6]. [SC1-3]
Not [6]. [SC2-3]
Therefore, Either [4] or [5]..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either [4] or [5].).), then [8].
If [8], then [6].
Therefore, If (Not (Either [4] or [5].).), then [6]..
[SC2-3]
Modus Ponens:
If [7], then (Not [6].).
[7] [SC2-4]
Therefore, Not [6]..
[SC2-4]
Modus Tonens:
If (Not [7].), then [9].
Not [9].
Therefore, [7].
|
{0: 'Synthetic zeolites have various applications in industry.', 1: 'Trade is trade.', 2: 'Colloids are suspensions of tiny particles of one substance dispersed in an other phase.', 3: 'Rocks are as hard and sharp as spears.', 4: 'Child abuse occurs in every age group, every race, every religion and every economic group.', 5: 'Garlic mustard is also locally common in the Quebec City region.', 6: 'Exercise is as important to weight loss or maintenance as calorie intake.', 7: 'Historical evidence supports occurrences.', 8: 'Violence is a learned behavior and like any learned behavior, it can be changed.', 9: 'Naturalizations are the result of imported plants used as ornamentals.'}
| 6 |
5,220 |
["Provided that if buses are used for travel, then pie is cooked when knife comes out clean when inserted into pie, we know that aphids sound an alarm when they're in trouble.", "Either red stars are less hot than white or blue stars or if the statement that 'if buses are used for travel, then pie is cooked when knife comes out clean when inserted into pie' is incorrect, then organisms exist in environments that vary in time and over space.", 'Provided that organisms exist in environments that vary in time and over space, we know that men catch glimpses.', 'It is a common misconception that men catch glimpses.', 'Either surgery is a common treatment of malignant mesothelioma or freshwater contains much less salt than the ocean.', 'Given that freshwater contains much less salt than the ocean, it can be inferred that we know that the claim that red stars are less hot than white or blue stars is false.', 'Either one or both of these statements are true: psychologists say that unburdening the soul and opening up is a positive experience, or some acid comes into intestines.', 'Given that psychologists say that unburdening the soul and opening up is a positive experience, it can be inferred that if surgery is a common treatment of malignant mesothelioma, then we know that the claim that red stars are less hot than white or blue stars is false.', 'Provided that some acid comes into intestines, we know that if surgery is a common treatment of malignant mesothelioma, then we know that the claim that red stars are less hot than white or blue stars is false.']
|
Provided that if buses are used for travel, then pie is cooked when knife comes out clean when inserted into pie, we know that aphids sound an alarm when they're in trouble. Either red stars are less hot than white or blue stars or if the statement that 'if buses are used for travel, then pie is cooked when knife comes out clean when inserted into pie' is incorrect, then organisms exist in environments that vary in time and over space. Provided that organisms exist in environments that vary in time and over space, we know that men catch glimpses. It is a common misconception that men catch glimpses. Either surgery is a common treatment of malignant mesothelioma or freshwater contains much less salt than the ocean. Given that freshwater contains much less salt than the ocean, it can be inferred that we know that the claim that red stars are less hot than white or blue stars is false. Either one or both of these statements are true: psychologists say that unburdening the soul and opening up is a positive experience, or some acid comes into intestines. Given that psychologists say that unburdening the soul and opening up is a positive experience, it can be inferred that if surgery is a common treatment of malignant mesothelioma, then we know that the claim that red stars are less hot than white or blue stars is false. Provided that some acid comes into intestines, we know that if surgery is a common treatment of malignant mesothelioma, then we know that the claim that red stars are less hot than white or blue stars is false.
|
Many people rightly believe that aphids sound an alarm when they're in trouble.
|
Aphids have piercing-sucking mouthparts, and feed on juices of host plants.
|
Uncertain
|
Modus Ponens:
If (If [1], then [2].), then [0].
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If [1], then [2].).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, If [1], then [2]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If [1], then [2].).), then [3].).
Not [4]. [SC2-3]
Therefore, If (Not (If [1], then [2].).), then [3]..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [4].). [SC2-4]
If [7], then (Not [4].).
Therefore, Not [4]..
[SC2-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [6], then (Not [4].).).
If [9], then (If [6], then (Not [4].).).
Therefore, If [6], then (Not [4].)..
[SC2-2]
Modus Tonens:
If [3], then [5].
Not [5].
Therefore, Not [3]..
|
{0: "Aphids sound an alarm when they're in trouble.", 1: 'Buses are used for travel.', 2: 'Pie is cooked when knife comes out clean when inserted into pie.', 3: 'Organisms exist in environments that vary in time and over space.', 4: 'Red stars are less hot than white or blue stars.', 5: 'Men catch glimpses.', 6: 'Surgery is a common treatment of malignant mesothelioma.', 7: 'Freshwater contains much less salt than the ocean.', 8: 'Psychologists say that unburdening the soul and opening up is a positive experience.', 9: 'Some acid comes into intestines.'}
| 6 |
5,391 |
['It is true that some nematodes feed on fungi.', 'One may reasonably assume that if individual microtubules connect to the kinetochore of each chromosome at the centromere, then we know that the claim that animals feed on prey is false.', 'It is reasonable to believe that individual microtubules connect to the kinetochore of each chromosome at the centromere.', "Either observers have (part) arms or if if effective communication is the life-blood of all good relationships, then mental ability continues to be strong because the brain compensates for cell loss, then if some nematodes feed on fungi, then if the statement 'contentment is soil in which true joy thrives' can be considered false, then animals feed on prey.", "The statement 'observers have (part) arms' can be considered false.", 'We know that at least one of two things is true: german literature is literary work, or if effective communication is the life-blood of all good relationships, then mental ability continues to be strong because the brain compensates for cell loss.', "The statement that 'german literature is literary work' is incorrect."]
|
It is true that some nematodes feed on fungi. One may reasonably assume that if individual microtubules connect to the kinetochore of each chromosome at the centromere, then we know that the claim that animals feed on prey is false. It is reasonable to believe that individual microtubules connect to the kinetochore of each chromosome at the centromere. Either observers have (part) arms or if if effective communication is the life-blood of all good relationships, then mental ability continues to be strong because the brain compensates for cell loss, then if some nematodes feed on fungi, then if the statement 'contentment is soil in which true joy thrives' can be considered false, then animals feed on prey. The statement 'observers have (part) arms' can be considered false. We know that at least one of two things is true: german literature is literary work, or if effective communication is the life-blood of all good relationships, then mental ability continues to be strong because the brain compensates for cell loss. The statement that 'german literature is literary work' is incorrect.
|
The statement 'contentment is soil in which true joy thrives' is true.
|
The notion that 'contentment is soil in which true joy thrives' is untrue.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (If (Not [0].), then [1].). [SC1-2]
[3]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If (If [4], then [5].), then (If [3], then (If (Not [0].), then [1].).). [SC1-3]
If [4], then [5]. [SC2-3]
Therefore, If [3], then (If (Not [0].), then [1].)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If (If [4], then [5].), then (If [3], then (If (Not [0].), then [1].).).).
Not [6].
Therefore, If (If [4], then [5].), then (If [3], then (If (Not [0].), then [1].).)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If [4], then [5].).
Not [7].
Therefore, If [4], then [5]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2]
Therefore, Not [1]..
|
{0: 'Contentment is soil in which true joy thrives.', 1: 'Animals feed on prey.', 2: 'Individual microtubules connect to the kinetochore of each chromosome at the centromere.', 3: 'Some nematodes feed on fungi.', 4: 'Effective communication is the life-blood of all good relationships.', 5: 'Mental ability continues to be strong because the brain compensates for cell loss.', 6: 'Observers have (part) arms.', 7: 'German literature is literary work.'}
| 6 |
5,912 |
['There is good reason to believe that either either earrings are leaf shaped white plastic or science is supported by biology or if some diets contain heat, then many cells are binocular unless purturbed to mediate stereopsis.', "The notion that 'either earrings are leaf shaped white plastic or science is supported by biology' is untrue.", 'Either one or both of these statements are true: arthritis happens when joints become painful and swollen, or if evolution determines the quantity and placement of sensors, then many cells are binocular unless purturbed to mediate stereopsis.', 'We know that the claim that arthritis happens when joints become painful and swollen is false.', 'At least one of two things is true: lampshades have (part) sections, or plants grow in springs.', 'Provided that lampshades have (part) sections, we know that either animals cope with conditions or either some diets contain heat or evolution determines the quantity and placement of sensors.', "So long as plants grow in springs, 'either animals cope with conditions or either some diets contain heat or evolution determines the quantity and placement of sensors' is true.", 'Should it be the case that students to participate in motion, it follows that some people mistakenly believe that animals cope with conditions.', 'Many people rightly believe that students to participate in motion.']
|
There is good reason to believe that either either earrings are leaf shaped white plastic or science is supported by biology or if some diets contain heat, then many cells are binocular unless purturbed to mediate stereopsis. The notion that 'either earrings are leaf shaped white plastic or science is supported by biology' is untrue. Either one or both of these statements are true: arthritis happens when joints become painful and swollen, or if evolution determines the quantity and placement of sensors, then many cells are binocular unless purturbed to mediate stereopsis. We know that the claim that arthritis happens when joints become painful and swollen is false. At least one of two things is true: lampshades have (part) sections, or plants grow in springs. Provided that lampshades have (part) sections, we know that either animals cope with conditions or either some diets contain heat or evolution determines the quantity and placement of sensors. So long as plants grow in springs, 'either animals cope with conditions or either some diets contain heat or evolution determines the quantity and placement of sensors' is true. Should it be the case that students to participate in motion, it follows that some people mistakenly believe that animals cope with conditions. Many people rightly believe that students to participate in motion.
|
It is fair to say that many cells are binocular unless purturbed to mediate stereopsis.
|
Cells are the smallest form of structure and function in living organisms.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either [1] or [2].). [SC1-2]
Not [3]. [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either [3] or (Either [1] or [2].).).
If [8], then (Either [3] or (Either [1] or [2].).).
Therefore, Either [3] or (Either [1] or [2].)..
[SC2-2]
Modus Ponens:
If [9], then (Not [3].).
[9]
Therefore, Not [3]..
[SC2-1]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (If [1], then [0].).
Not (Either [5] or [6].).
Therefore, If [1], then [0]..
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If [2], then [0].).
Not [4].
Therefore, If [2], then [0]..
|
{0: 'Many cells are binocular unless purturbed to mediate stereopsis.', 1: 'Some diets contain heat.', 2: 'Evolution determines the quantity and placement of sensors.', 3: 'Animals cope with conditions.', 4: 'Arthritis happens when joints become painful and swollen.', 5: 'Earrings are leaf shaped white plastic.', 6: 'Science is supported by biology.', 7: 'Lampshades have (part) sections.', 8: 'Plants grow in springs.', 9: 'Students to participate in motion.'}
| 6 |
5,427 |
["The notion that 'either old people are people or marijuana has similar effects, though maybe more concentrated' is untrue.", 'The claim that fruit possesses benefits has no merit.', 'It is rational to believe that either if cheats are in-game methods of beating a game, then some men kill mothers or vitamins have net negative effects.', 'The claim that men can ejaculate during sexual intercourse or by masturbation is true.', 'Should it be the case that the claim that if vitamins have net negative effects, then either fruit possesses benefits or either either old people are people or marijuana has similar effects, though maybe more concentrated or nourishment needs for survival does not reflect reality, it follows that homemade dog food has advantage.', 'Provided that the claim that if vitamins have net negative effects, then either fruit possesses benefits or either either old people are people or marijuana has similar effects, though maybe more concentrated or nourishment needs for survival does not reflect reality, we know that it is not the case that homemade dog food has advantage.', 'There is good reason to believe that either either reincarnation limits the recycling to humans or harmonic functions are groupings from a harmonic variety with extreme properties or specialized structures allow animals to eat a variety of foods.', 'Assuming either reincarnation limits the recycling to humans or harmonic functions are groupings from a harmonic variety with extreme properties, we know that if men can ejaculate during sexual intercourse or by masturbation, then if if cheats are in-game methods of beating a game, then some men kill mothers, then either fruit possesses benefits or either either old people are people or marijuana has similar effects, though maybe more concentrated or nourishment needs for survival.', "Whenever it is true that specialized structures allow animals to eat a variety of foods, 'if men can ejaculate during sexual intercourse or by masturbation, then if if cheats are in-game methods of beating a game, then some men kill mothers, then either fruit possesses benefits or either either old people are people or marijuana has similar effects, though maybe more concentrated or nourishment needs for survival' is true."]
|
The notion that 'either old people are people or marijuana has similar effects, though maybe more concentrated' is untrue. The claim that fruit possesses benefits has no merit. It is rational to believe that either if cheats are in-game methods of beating a game, then some men kill mothers or vitamins have net negative effects. The claim that men can ejaculate during sexual intercourse or by masturbation is true. Should it be the case that the claim that if vitamins have net negative effects, then either fruit possesses benefits or either either old people are people or marijuana has similar effects, though maybe more concentrated or nourishment needs for survival does not reflect reality, it follows that homemade dog food has advantage. Provided that the claim that if vitamins have net negative effects, then either fruit possesses benefits or either either old people are people or marijuana has similar effects, though maybe more concentrated or nourishment needs for survival does not reflect reality, we know that it is not the case that homemade dog food has advantage. There is good reason to believe that either either reincarnation limits the recycling to humans or harmonic functions are groupings from a harmonic variety with extreme properties or specialized structures allow animals to eat a variety of foods. Assuming either reincarnation limits the recycling to humans or harmonic functions are groupings from a harmonic variety with extreme properties, we know that if men can ejaculate during sexual intercourse or by masturbation, then if if cheats are in-game methods of beating a game, then some men kill mothers, then either fruit possesses benefits or either either old people are people or marijuana has similar effects, though maybe more concentrated or nourishment needs for survival. Whenever it is true that specialized structures allow animals to eat a variety of foods, 'if men can ejaculate during sexual intercourse or by masturbation, then if if cheats are in-game methods of beating a game, then some men kill mothers, then either fruit possesses benefits or either either old people are people or marijuana has similar effects, though maybe more concentrated or nourishment needs for survival' is true.
|
We can assume that nourishment needs for survival.
|
It is not true that nourishment needs for survival.
|
FALSE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0]. [SC1-1]
Not (Either [1] or [2].).
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either (Either [1] or [2].) or [0].). [SC1-2]
Not [3].
Therefore, Either (Either [1] or [2].) or [0]..
[SC1-2]
Disjunction Elimination:
Either (If [4], then [5].) or [6].
If (If [4], then [5].), then (Either [3] or (Either (Either [1] or [2].) or [0].).). [SC2-3]
If [6], then (Either [3] or (Either (Either [1] or [2].) or [0].).). [SC3-3]
Therefore, Either [3] or (Either (Either [1] or [2].) or [0].)..
[SC2-3]
Modus Ponens:
If [8], then (If (If [4], then [5].), then (Either [3] or (Either (Either [1] or [2].) or [0].).).). [SC1-4]
[8]
Therefore, If (If [4], then [5].), then (Either [3] or (Either (Either [1] or [2].) or [0].).)..
[SC1-4]
Disjunction Elimination:
Either (Either [9] or [10].) or [11].
If (Either [9] or [10].), then (If [8], then (If (If [4], then [5].), then (Either [3] or (Either (Either [1] or [2].) or [0].).).).).
If [11], then (If [8], then (If (If [4], then [5].), then (Either [3] or (Either (Either [1] or [2].) or [0].).).).).
Therefore, If [8], then (If (If [4], then [5].), then (Either [3] or (Either (Either [1] or [2].) or [0].).).)..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [6], then (Either [3] or (Either (Either [1] or [2].) or [0].).).).), then [7].
If (Not (If [6], then (Either [3] or (Either (Either [1] or [2].) or [0].).).).), then (Not [7].).
Therefore, If [6], then (Either [3] or (Either (Either [1] or [2].) or [0].).)..
|
{0: 'Nourishment needs for survival.', 1: 'Old people are people.', 2: 'Marijuana has similar effects, though maybe more concentrated.', 3: 'Fruit possesses benefits.', 4: 'Cheats are in-game methods of beating a game.', 5: 'Some men kill mothers.', 6: 'Vitamins have net negative effects.', 7: 'Homemade dog food has advantage.', 8: 'Men can ejaculate during sexual intercourse or by masturbation.', 9: 'Reincarnation limits the recycling to humans.', 10: 'Harmonic functions are groupings from a harmonic variety with extreme properties.', 11: 'Specialized structures allow animals to eat a variety of foods.'}
| 6 |
5,309 |
['It is a fact that either if china has a rich tradition of natural medicines, then infected bulls can also transmit the infection through semen to females in the herd or glucose isa monosaccharide.', 'On the condition that if china has a rich tradition of natural medicines, then infected bulls can also transmit the infection through semen to females in the herd, it is definitely the case that most substances react with substances.', 'When some people mistakenly believe that if skeletal muscle is the primary tissue for insulin-stimulated glucose uptake, then the statement that states most substances react with substances is false is true, it follows that either red envelopes are a tradition of Chinese people or ears are small relative to the head.', 'On the condition that some people mistakenly believe that if skeletal muscle is the primary tissue for insulin-stimulated glucose uptake, then the statement that states most substances react with substances is false, it is definitely the case that it is not true that either red envelopes are a tradition of Chinese people or ears are small relative to the head.', 'If the statement, skeletal muscle is the primary tissue for insulin-stimulated glucose uptake, does not hold, then either vampires are multilingual or chronic pain associated with conditions such as arthritis or back problems can interfere with sleep.', 'Given that either vampires are multilingual or chronic pain associated with conditions such as arthritis or back problems can interfere with sleep, it can be inferred that monochromatic aberrations can limit the quality of microscope images.', 'If either vampires are multilingual or chronic pain associated with conditions such as arthritis or back problems can interfere with sleep, then some people mistakenly believe that monochromatic aberrations can limit the quality of microscope images.']
|
It is a fact that either if china has a rich tradition of natural medicines, then infected bulls can also transmit the infection through semen to females in the herd or glucose isa monosaccharide. On the condition that if china has a rich tradition of natural medicines, then infected bulls can also transmit the infection through semen to females in the herd, it is definitely the case that most substances react with substances. When some people mistakenly believe that if skeletal muscle is the primary tissue for insulin-stimulated glucose uptake, then the statement that states most substances react with substances is false is true, it follows that either red envelopes are a tradition of Chinese people or ears are small relative to the head. On the condition that some people mistakenly believe that if skeletal muscle is the primary tissue for insulin-stimulated glucose uptake, then the statement that states most substances react with substances is false, it is definitely the case that it is not true that either red envelopes are a tradition of Chinese people or ears are small relative to the head. If the statement, skeletal muscle is the primary tissue for insulin-stimulated glucose uptake, does not hold, then either vampires are multilingual or chronic pain associated with conditions such as arthritis or back problems can interfere with sleep. Given that either vampires are multilingual or chronic pain associated with conditions such as arthritis or back problems can interfere with sleep, it can be inferred that monochromatic aberrations can limit the quality of microscope images. If either vampires are multilingual or chronic pain associated with conditions such as arthritis or back problems can interfere with sleep, then some people mistakenly believe that monochromatic aberrations can limit the quality of microscope images.
|
The statement 'glucose isa monosaccharide' is true.
|
The statement 'glucose isa monosaccharide' is true.
|
TRUE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0].
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (If [1], then [2].), then [3].
Not [3]. [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC2-2]
Modus Ponens:
If [4], then (Not [3].). [SC1-3]
[4] [SC2-3]
Therefore, Not [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [4], then (Not [3].).).), then (Either [5] or [6].).
If (Not (If [4], then (Not [3].).).), then (Not (Either [5] or [6].).).
Therefore, If [4], then (Not [3].)..
[SC2-3]
Modus Tonens:
If (Not [4].), then (Either [7] or [8].).
Not (Either [7] or [8].). [SC2-4]
Therefore, [4].
[SC2-4]
Reductio Ad Absurdum:
If (Either [7] or [8].), then [9].
If (Either [7] or [8].), then (Not [9].).
Therefore, Not (Either [7] or [8].)..
|
{0: 'Glucose isa monosaccharide.', 1: 'China has a rich tradition of natural medicines.', 2: 'Infected bulls can also transmit the infection through semen to females in the herd.', 3: 'Most substances react with substances.', 4: 'Skeletal muscle is the primary tissue for insulin-stimulated glucose uptake.', 5: 'Red envelopes are a tradition of Chinese people.', 6: 'Ears are small relative to the head.', 7: 'Vampires are multilingual.', 8: 'Chronic pain associated with conditions such as arthritis or back problems can interfere with sleep.', 9: 'Monochromatic aberrations can limit the quality of microscope images.'}
| 6 |
5,775 |
['The statement that states either chisels are the most common tool used to roughen the soil and bring clods to the surface or echidnas have a long cylindrical snout used for scavenging forest litter is false.', 'The statement, radiation therapy can cause hair loss, also known as alopecia , does not hold.', 'Assuming carriage is boxs, we know that if the claim that if the claim that writing is the art of communicating thought by means of letters is false, then either salads are healthy and appetizing, but often are deadly because of the use of insecticide sprays or bobcats are less adaptable to humans than other wildlife species, such as the coyote does not reflect reality, then either chisels are the most common tool used to roughen the soil and bring clods to the surface or echidnas have a long cylindrical snout used for scavenging forest litter.', 'Provided that we know that the claim that if either salads are healthy and appetizing, but often are deadly because of the use of insecticide sprays or bobcats are less adaptable to humans than other wildlife species, such as the coyote, then radiation therapy can cause hair loss, also known as alopecia is false, we know that architecture has (part) window frames.', 'The claim that architecture has (part) window frames does not reflect reality.', 'At least one of two things is true: many bones are also hollow, or food is a source of energy i.e. energy in chemical form.', 'Should it be the case that many bones are also hollow, it follows that carriage is boxs.', 'Once we know food is a source of energy i.e. energy in chemical form, we also know that carriage is boxs.']
|
The statement that states either chisels are the most common tool used to roughen the soil and bring clods to the surface or echidnas have a long cylindrical snout used for scavenging forest litter is false. The statement, radiation therapy can cause hair loss, also known as alopecia , does not hold. Assuming carriage is boxs, we know that if the claim that if the claim that writing is the art of communicating thought by means of letters is false, then either salads are healthy and appetizing, but often are deadly because of the use of insecticide sprays or bobcats are less adaptable to humans than other wildlife species, such as the coyote does not reflect reality, then either chisels are the most common tool used to roughen the soil and bring clods to the surface or echidnas have a long cylindrical snout used for scavenging forest litter. Provided that we know that the claim that if either salads are healthy and appetizing, but often are deadly because of the use of insecticide sprays or bobcats are less adaptable to humans than other wildlife species, such as the coyote, then radiation therapy can cause hair loss, also known as alopecia is false, we know that architecture has (part) window frames. The claim that architecture has (part) window frames does not reflect reality. At least one of two things is true: many bones are also hollow, or food is a source of energy i.e. energy in chemical form. Should it be the case that many bones are also hollow, it follows that carriage is boxs. Once we know food is a source of energy i.e. energy in chemical form, we also know that carriage is boxs.
|
The statement 'writing is the art of communicating thought by means of letters' is true.
|
Writing is a secondary form of communication.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then (Either [1] or [2].).).), then (Either [4] or [5].). [SC1-2]
Not (Either [4] or [5].).
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC1-2]
Modus Ponens:
If [6], then (If (Not (If (Not [0].), then (Either [1] or [2].).).), then (Either [4] or [5].).).
[6] [SC2-3]
Therefore, If (Not (If (Not [0].), then (Either [1] or [2].).).), then (Either [4] or [5].)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then [6].
If [9], then [6].
Therefore, [6].
[SC2-1]
Modus Tonens:
If (Either [1] or [2].), then [3]. [SC1-2]
Not [3].
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Modus Tonens:
If (Not (If (Either [1] or [2].), then [3].).), then [7].
Not [7].
Therefore, If (Either [1] or [2].), then [3]..
|
{0: 'Writing is the art of communicating thought by means of letters.', 1: 'Salads are healthy and appetizing, but often are deadly because of the use of insecticide sprays.', 2: 'Bobcats are less adaptable to humans than other wildlife species, such as the coyote.', 3: 'Radiation therapy can cause hair loss, also known as alopecia .', 4: 'Chisels are the most common tool used to roughen the soil and bring clods to the surface.', 5: 'Echidnas have a long cylindrical snout used for scavenging forest litter.', 6: 'Carriage is boxs.', 7: 'Architecture has (part) window frames.', 8: 'Many bones are also hollow.', 9: 'Food is a source of energy i.e. energy in chemical form.'}
| 6 |
5,885 |
['When it is not true that lingonberries also make a great accompaniment to meat and cheese dishes is true, it follows that corn has (part) vacuoles.', 'Either one or both of these statements are true: food is located in schools, or every cell has the potential to be cloned.', 'On the condition that food is located in schools, it is definitely the case that cephalosporins are antibiotics active against a wide range of bacteria.', 'When every cell has the potential to be cloned is true, it follows that the statement, corn has (part) vacuoles, does not hold.', "The notion that 'either servals love to hunt small rodents, birds, frogs, and the like or behavioral therapy uses structure approaches' is untrue.", "So long as if separatism works as well, utilizing other concepts of energy balance and synergy formation, then a diopter is an unit, 'either servals love to hunt small rodents, birds, frogs, and the like or behavioral therapy uses structure approaches' is true.", 'Provided that hens have (part) lips, we know that it is not the case that cephalosporins are antibiotics active against a wide range of bacteria.', 'Given that the claim that either if separatism works as well, utilizing other concepts of energy balance and synergy formation, then a diopter is an unit or hens have (part) lips is false, it can be inferred that hormones influence the production of hair.', 'Assuming the claim that either if separatism works as well, utilizing other concepts of energy balance and synergy formation, then a diopter is an unit or hens have (part) lips is false, we know that those that suggest hormones influence the production of hair are wrong.']
|
When it is not true that lingonberries also make a great accompaniment to meat and cheese dishes is true, it follows that corn has (part) vacuoles. Either one or both of these statements are true: food is located in schools, or every cell has the potential to be cloned. On the condition that food is located in schools, it is definitely the case that cephalosporins are antibiotics active against a wide range of bacteria. When every cell has the potential to be cloned is true, it follows that the statement, corn has (part) vacuoles, does not hold. The notion that 'either servals love to hunt small rodents, birds, frogs, and the like or behavioral therapy uses structure approaches' is untrue. So long as if separatism works as well, utilizing other concepts of energy balance and synergy formation, then a diopter is an unit, 'either servals love to hunt small rodents, birds, frogs, and the like or behavioral therapy uses structure approaches' is true. Provided that hens have (part) lips, we know that it is not the case that cephalosporins are antibiotics active against a wide range of bacteria. Given that the claim that either if separatism works as well, utilizing other concepts of energy balance and synergy formation, then a diopter is an unit or hens have (part) lips is false, it can be inferred that hormones influence the production of hair. Assuming the claim that either if separatism works as well, utilizing other concepts of energy balance and synergy formation, then a diopter is an unit or hens have (part) lips is false, we know that those that suggest hormones influence the production of hair are wrong.
|
It is reasonable to believe that lingonberries also make a great accompaniment to meat and cheese dishes.
|
Lingonberries are relatives of cranberries, grown in many Scandinavian countries.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either [5] or [6].
If [5], then [2].
If [6], then (Not [1].).
Therefore, Either [2] or (Not [1].)..
[SC2-2]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (Not [2].). [SC1-3]
Not (Either [3] or [4].).
Therefore, Not [2]..
[SC1-3]
Constructive Dilemma:
Either (If [7], then [8].) or [9]. [SC1-4]
If (If [7], then [8].), then (Either [3] or [4].).
If [9], then (Not [2].).
Therefore, Either (Either [3] or [4].) or (Not [2].)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either (If [7], then [8].) or [9].).), then [10].
If (Not (Either (If [7], then [8].) or [9].).), then (Not [10].).
Therefore, Either (If [7], then [8].) or [9]..
|
{0: 'Lingonberries also make a great accompaniment to meat and cheese dishes.', 1: 'Corn has (part) vacuoles.', 2: 'Cephalosporins are antibiotics active against a wide range of bacteria.', 3: 'Servals love to hunt small rodents, birds, frogs, and the like.', 4: 'Behavioral therapy uses structure approaches.', 5: 'Food is located in schools.', 6: 'Every cell has the potential to be cloned.', 7: 'Separatism works as well, utilizing other concepts of energy balance and synergy formation.', 8: 'A diopter is an unit.', 9: 'Hens have (part) lips.', 10: 'Hormones influence the production of hair.'}
| 6 |
5,015 |
['Either one or both of these statements are true: courses of study are training, or nurses help patients.', 'Once we know courses of study are training, we also know that the claim that either personal possessions include extensive real estate holdings or vine lasts for years and years has no merit.', "Given that some aerobic fermentation generates energy, it can be inferred that if the notion that 'if courses of study are training, then either personal possessions include extensive real estate holdings or vine lasts for years and years' is untrue, then if avalanches can only occur in a standing snowpack, then some emotions are more complex than others, formed through the combination of simpler emotions.", "Either one or both of these statements are true: shallots are also advantageous in inhibiting stomach problems, or if the notion that 'if courses of study are training, then either personal possessions include extensive real estate holdings or vine lasts for years and years' is untrue, then those that suggest if avalanches can only occur in a standing snowpack, then some emotions are more complex than others, formed through the combination of simpler emotions are wrong.", "The statement 'shallots are also advantageous in inhibiting stomach problems' can be considered false.", 'Assuming sociopaths can be criminals, we know that some aerobic fermentation generates energy.', 'The claim that sociopaths can be criminals is true.']
|
Either one or both of these statements are true: courses of study are training, or nurses help patients. Once we know courses of study are training, we also know that the claim that either personal possessions include extensive real estate holdings or vine lasts for years and years has no merit. Given that some aerobic fermentation generates energy, it can be inferred that if the notion that 'if courses of study are training, then either personal possessions include extensive real estate holdings or vine lasts for years and years' is untrue, then if avalanches can only occur in a standing snowpack, then some emotions are more complex than others, formed through the combination of simpler emotions. Either one or both of these statements are true: shallots are also advantageous in inhibiting stomach problems, or if the notion that 'if courses of study are training, then either personal possessions include extensive real estate holdings or vine lasts for years and years' is untrue, then those that suggest if avalanches can only occur in a standing snowpack, then some emotions are more complex than others, formed through the combination of simpler emotions are wrong. The statement 'shallots are also advantageous in inhibiting stomach problems' can be considered false. Assuming sociopaths can be criminals, we know that some aerobic fermentation generates energy. The claim that sociopaths can be criminals is true.
|
It is rational to agree that nurses help patients.
|
It is rational to agree that nurses help patients.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If [1], then (Either [2] or [3].). [SC1-2]
If [1], then (Not (Either [2] or [3].).).
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then (Either [2] or [3].).).), then (If [4], then [5].). [SC1-3]
If (Not (If [1], then (Either [2] or [3].).).), then (Not (If [4], then [5].).). [SC2-3]
Therefore, If [1], then (Either [2] or [3].)..
[SC1-3]
Modus Ponens:
If [6], then (If (Not (If [1], then (Either [2] or [3].).).), then (If [4], then [5].).).
[6] [SC2-4]
Therefore, If (Not (If [1], then (Either [2] or [3].).).), then (If [4], then [5].)..
[SC2-4]
Modus Ponens:
If [8], then [6].
[8]
Therefore, [6].
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If (Not (If [1], then (Either [2] or [3].).).), then (Not (If [4], then [5].).).).
Not [7].
Therefore, If (Not (If [1], then (Either [2] or [3].).).), then (Not (If [4], then [5].).)..
|
{0: 'Nurses help patients.', 1: 'Courses of study are training.', 2: 'Personal possessions include extensive real estate holdings.', 3: 'Vine lasts for years and years.', 4: 'Avalanches can only occur in a standing snowpack.', 5: 'Some emotions are more complex than others, formed through the combination of simpler emotions.', 6: 'Some aerobic fermentation generates energy.', 7: 'Shallots are also advantageous in inhibiting stomach problems.', 8: 'Sociopaths can be criminals.'}
| 6 |
5,493 |
['The statement that states european folklore regards the bell as both a decree of death and as a means of protection is false.', 'If those that suggest if mammograms are the best tools to detect breast lumps early, then either european folklore regards the bell as both a decree of death and as a means of protection or uncertainty is caused by the lack of evidence to support either belief or disbelief are wrong, then currency is the Singapore dollar.', 'It is not true that currency is the Singapore dollar.', 'There is good reason to believe that either if litter is a problem, particularly in the poorer areas where solid waste disposal is lacking, then bacteria have one circular chromosome or mongooses produce alarm calls when they spot a danger.', 'When if litter is a problem, particularly in the poorer areas where solid waste disposal is lacking, then bacteria have one circular chromosome is true, it follows that mammograms are the best tools to detect breast lumps early.', 'Should it be the case that the statement that states if mongooses produce alarm calls when they spot a danger, then mammograms are the best tools to detect breast lumps early is false, it follows that the claim that most plants provide nutrition does not reflect reality.', 'When the statement that states if mongooses produce alarm calls when they spot a danger, then mammograms are the best tools to detect breast lumps early is false is true, it follows that either palliative care is a fast-growing specialty in medicine or crocodiles come from lagoons.', 'Once we know either palliative care is a fast-growing specialty in medicine or crocodiles come from lagoons, we also know that most plants provide nutrition.']
|
The statement that states european folklore regards the bell as both a decree of death and as a means of protection is false. If those that suggest if mammograms are the best tools to detect breast lumps early, then either european folklore regards the bell as both a decree of death and as a means of protection or uncertainty is caused by the lack of evidence to support either belief or disbelief are wrong, then currency is the Singapore dollar. It is not true that currency is the Singapore dollar. There is good reason to believe that either if litter is a problem, particularly in the poorer areas where solid waste disposal is lacking, then bacteria have one circular chromosome or mongooses produce alarm calls when they spot a danger. When if litter is a problem, particularly in the poorer areas where solid waste disposal is lacking, then bacteria have one circular chromosome is true, it follows that mammograms are the best tools to detect breast lumps early. Should it be the case that the statement that states if mongooses produce alarm calls when they spot a danger, then mammograms are the best tools to detect breast lumps early is false, it follows that the claim that most plants provide nutrition does not reflect reality. When the statement that states if mongooses produce alarm calls when they spot a danger, then mammograms are the best tools to detect breast lumps early is false is true, it follows that either palliative care is a fast-growing specialty in medicine or crocodiles come from lagoons. Once we know either palliative care is a fast-growing specialty in medicine or crocodiles come from lagoons, we also know that most plants provide nutrition.
|
We can assume that uncertainty is caused by the lack of evidence to support either belief or disbelief.
|
We can assume that uncertainty is caused by the lack of evidence to support either belief or disbelief.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (Either [1] or [0].). [SC1-2]
[2] [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Modus Tonens:
If (Not (If [2], then (Either [1] or [0].).).), then [3].
Not [3].
Therefore, If [2], then (Either [1] or [0].)..
[SC2-2]
Disjunction Elimination:
Either (If [4], then [5].) or [6].
If (If [4], then [5].), then [2].
If [6], then [2]. [SC3-3]
Therefore, [2].
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [6], then [2].).), then [7]. [SC1-4]
If (Not (If [6], then [2].).), then (Not [7].).
Therefore, If [6], then [2]..
[SC1-4]
Hypothetical Syllogism:
If (Not (If [6], then [2].).), then (Either [8] or [9].).
If (Either [8] or [9].), then [7].
Therefore, If (Not (If [6], then [2].).), then [7]..
|
{0: 'Uncertainty is caused by the lack of evidence to support either belief or disbelief.', 1: 'European folklore regards the bell as both a decree of death and as a means of protection.', 2: 'Mammograms are the best tools to detect breast lumps early.', 3: 'Currency is the Singapore dollar.', 4: 'Litter is a problem, particularly in the poorer areas where solid waste disposal is lacking.', 5: 'Bacteria have one circular chromosome.', 6: 'Mongooses produce alarm calls when they spot a danger.', 7: 'Most plants provide nutrition.', 8: 'Palliative care is a fast-growing specialty in medicine.', 9: 'Crocodiles come from lagoons.'}
| 6 |
5,245 |
['The claim that ozone is defined as a drug and therefore is subject to all applicable regulations does not correspond with reality.', 'There is good reason to believe that either emotional blackmail is used on women in labour to produce compliance or tobacco plants produce one of the most powerful insecticides agriculture has ever known.', "Once we know emotional blackmail is used on women in labour to produce compliance, we also know that the statement that 'passive sonar is simply the receiving half of the active system' is incorrect.", "On the condition that tobacco plants produce one of the most powerful insecticides agriculture has ever known, it is definitely the case that the statement that 'passive sonar is simply the receiving half of the active system' is incorrect.", 'Assuming the claim that either most pangolins have shapes or if the claim that either passive sonar is simply the receiving half of the active system or it is not true that summer is when most students and families have the opportunity to travel has no merit, then ozone is defined as a drug and therefore is subject to all applicable regulations does not reflect reality, we know that amoebas locomote by means of cytoplasmic movement.', 'It is not the case that amoebas locomote by means of cytoplasmic movement.', 'On the condition that refraction is the bending of waves, it is definitely the case that the claim that most pangolins have shapes does not reflect reality.', "The statement 'refraction is the bending of waves' is true."]
|
The claim that ozone is defined as a drug and therefore is subject to all applicable regulations does not correspond with reality. There is good reason to believe that either emotional blackmail is used on women in labour to produce compliance or tobacco plants produce one of the most powerful insecticides agriculture has ever known. Once we know emotional blackmail is used on women in labour to produce compliance, we also know that the statement that 'passive sonar is simply the receiving half of the active system' is incorrect. On the condition that tobacco plants produce one of the most powerful insecticides agriculture has ever known, it is definitely the case that the statement that 'passive sonar is simply the receiving half of the active system' is incorrect. Assuming the claim that either most pangolins have shapes or if the claim that either passive sonar is simply the receiving half of the active system or it is not true that summer is when most students and families have the opportunity to travel has no merit, then ozone is defined as a drug and therefore is subject to all applicable regulations does not reflect reality, we know that amoebas locomote by means of cytoplasmic movement. It is not the case that amoebas locomote by means of cytoplasmic movement. On the condition that refraction is the bending of waves, it is definitely the case that the claim that most pangolins have shapes does not reflect reality. The statement 'refraction is the bending of waves' is true.
|
It is not true that summer is when most students and families have the opportunity to travel.
|
It is not true that summer is when most students and families have the opportunity to travel.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (Not [0].).).), then [4]. [SC1-2]
Not [4].
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If (Not (Either [1] or (Not [0].).).), then [4].). [SC1-3]
Not [5]. [SC2-3]
Therefore, If (Not (Either [1] or (Not [0].).).), then [4]..
[SC1-3]
Modus Tonens:
If (Not (Either [5] or (If (Not (Either [1] or (Not [0].).).), then [4].).).), then [7].
Not [7].
Therefore, Either [5] or (If (Not (Either [1] or (Not [0].).).), then [4].)..
[SC2-3]
Modus Ponens:
If [6], then (Not [5].).
[6]
Therefore, Not [5]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].).
If [3], then (Not [1].).
Therefore, Not [1]..
|
{0: 'Summer is when most students and families have the opportunity to travel.', 1: 'Passive sonar is simply the receiving half of the active system.', 2: 'Emotional blackmail is used on women in labour to produce compliance.', 3: 'Tobacco plants produce one of the most powerful insecticides agriculture has ever known.', 4: 'Ozone is defined as a drug and therefore is subject to all applicable regulations.', 5: 'Most pangolins have shapes.', 6: 'Refraction is the bending of waves.', 7: 'Amoebas locomote by means of cytoplasmic movement.'}
| 6 |
5,898 |
["Whenever it is true that it is not the case that wolves catch sheep, 'most electrical generators produce electricity' is true.", 'Should it be the case that we know that the claim that if it is not the case that wolves catch sheep, then the claim that most electrical generators produce electricity does not reflect reality is false, it follows that water is made of molecules.', "The statement that 'if cone snails eat large meals, then futures contracts are basically a type of forward contract' is incorrect.", 'One may reasonably assume that if advertising is one traditional form of promotion, then either if kidnappers have (part) cells, then bays are brackish, being fed by many fresh water streams and rivers or either if cone snails eat large meals, then futures contracts are basically a type of forward contract or those that suggest water is made of molecules are wrong.', "The statement 'advertising is one traditional form of promotion' is true.", 'We know that either if stalked ciliates are also capable of swimming freely, then social strata are a collective rule of behavior for all to follow and be judged against or some people mistakenly believe that if kidnappers have (part) cells, then bays are brackish, being fed by many fresh water streams and rivers.', 'It is not the case that if stalked ciliates are also capable of swimming freely, then social strata are a collective rule of behavior for all to follow and be judged against.']
|
Whenever it is true that it is not the case that wolves catch sheep, 'most electrical generators produce electricity' is true. Should it be the case that we know that the claim that if it is not the case that wolves catch sheep, then the claim that most electrical generators produce electricity does not reflect reality is false, it follows that water is made of molecules. The statement that 'if cone snails eat large meals, then futures contracts are basically a type of forward contract' is incorrect. One may reasonably assume that if advertising is one traditional form of promotion, then either if kidnappers have (part) cells, then bays are brackish, being fed by many fresh water streams and rivers or either if cone snails eat large meals, then futures contracts are basically a type of forward contract or those that suggest water is made of molecules are wrong. The statement 'advertising is one traditional form of promotion' is true. We know that either if stalked ciliates are also capable of swimming freely, then social strata are a collective rule of behavior for all to follow and be judged against or some people mistakenly believe that if kidnappers have (part) cells, then bays are brackish, being fed by many fresh water streams and rivers. It is not the case that if stalked ciliates are also capable of swimming freely, then social strata are a collective rule of behavior for all to follow and be judged against.
|
It is rational to agree that wolves catch sheep.
|
Wolves have five toes on each of their front feet and four toes on each of their back.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [2].
Not [2]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Disjunctive Syllogism:
Either (If [3], then [4].) or (Not [2].). [SC1-3]
Not (If [3], then [4].).
Therefore, Not [2]..
[SC1-3]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Either (If [3], then [4].) or (Not [2].).). [SC1-4]
Not (If [5], then [6].). [SC2-4]
Therefore, Either (If [3], then [4].) or (Not [2].)..
[SC1-4]
Modus Ponens:
If [9], then (Either (If [5], then [6].) or (Either (If [3], then [4].) or (Not [2].).).).
[9]
Therefore, Either (If [5], then [6].) or (Either (If [3], then [4].) or (Not [2].).)..
[SC2-4]
Disjunctive Syllogism:
Either (If [7], then [8].) or (Not (If [5], then [6].).).
Not (If [7], then [8].).
Therefore, Not (If [5], then [6].)..
|
{0: 'Wolves catch sheep.', 1: 'Most electrical generators produce electricity.', 2: 'Water is made of molecules.', 3: 'Cone snails eat large meals.', 4: 'Futures contracts are basically a type of forward contract.', 5: 'Kidnappers have (part) cells.', 6: 'Bays are brackish, being fed by many fresh water streams and rivers.', 7: 'Stalked ciliates are also capable of swimming freely.', 8: 'Social strata are a collective rule of behavior for all to follow and be judged against.', 9: 'Advertising is one traditional form of promotion.'}
| 6 |
5,006 |
['If plants get their energy from the sun animals the ocean , then planetary astronomers observe small red shifts and blue shifts in stars that unseen planets orbit .', 'Should it be the case that it is not the case that if if plants get their energy from the sun animals the ocean , then planetary astronomers observe small red shifts and blue shifts in stars that unseen planets orbit , then if the claim that if a caprifig is a fig tree, then most spices use in food preparation does not correspond with reality, then deer carry a brainworm that is potentially fatal to moose, it follows that foods tend to make the irritation of the bowels worse and cause further water loss.', 'We know that the claim that foods tend to make the irritation of the bowels worse and cause further water loss is false.', "Should it be the case that the notion that 'if trees are small and confined to stream and lake beds, then the statement that 'deer carry a brainworm that is potentially fatal to moose' is incorrect' is untrue, it follows that adult males live apart from females, but also in colonies.", 'It is a common misconception that adult males live apart from females, but also in colonies.', 'Provided that the claim that trees are small and confined to stream and lake beds has no merit, we know that thiamine also aids digestion, especially of carbohydrates.', 'The claim that thiamine also aids digestion, especially of carbohydrates does not correspond with reality.']
|
If plants get their energy from the sun animals the ocean , then planetary astronomers observe small red shifts and blue shifts in stars that unseen planets orbit . Should it be the case that it is not the case that if if plants get their energy from the sun animals the ocean , then planetary astronomers observe small red shifts and blue shifts in stars that unseen planets orbit , then if the claim that if a caprifig is a fig tree, then most spices use in food preparation does not correspond with reality, then deer carry a brainworm that is potentially fatal to moose, it follows that foods tend to make the irritation of the bowels worse and cause further water loss. We know that the claim that foods tend to make the irritation of the bowels worse and cause further water loss is false. Should it be the case that the notion that 'if trees are small and confined to stream and lake beds, then the statement that 'deer carry a brainworm that is potentially fatal to moose' is incorrect' is untrue, it follows that adult males live apart from females, but also in colonies. It is a common misconception that adult males live apart from females, but also in colonies. Provided that the claim that trees are small and confined to stream and lake beds has no merit, we know that thiamine also aids digestion, especially of carbohydrates. The claim that thiamine also aids digestion, especially of carbohydrates does not correspond with reality.
|
Should it be the case that a caprifig is a fig tree, it follows that most spices use in food preparation.
|
Provided that a caprifig is a fig tree, we know that most spices use in food preparation
|
Uncertain
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If (If [3], then [4].), then (If (Not (If [0], then [1].).), then [2].). [SC1-2]
If [3], then [4].
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-2]
Modus Tonens:
If (Not (If (If [3], then [4].), then (If (Not (If [0], then [1].).), then [2].).).), then [7].
Not [7].
Therefore, If (If [3], then [4].), then (If (Not (If [0], then [1].).), then [2].)..
[SC2-1]
Modus Ponens:
If [5], then (Not [2].). [SC1-2]
[5] [SC2-2]
Therefore, Not [2]..
[SC1-2]
Modus Tonens:
If (Not (If [5], then (Not [2].).).), then [6].
Not [6].
Therefore, If [5], then (Not [2].)..
[SC2-2]
Modus Tonens:
If (Not [5].), then [8].
Not [8].
Therefore, [5].
|
{0: 'A caprifig is a fig tree.', 1: 'Most spices use in food preparation.', 2: 'Deer carry a brainworm that is potentially fatal to moose.', 3: 'Plants get their energy from the sun animals the ocean .', 4: 'Planetary astronomers observe small red shifts and blue shifts in stars that unseen planets orbit .', 5: 'Trees are small and confined to stream and lake beds.', 6: 'Adult males live apart from females, but also in colonies.', 7: 'Foods tend to make the irritation of the bowels worse and cause further water loss.', 8: 'Thiamine also aids digestion, especially of carbohydrates.'}
| 6 |
5,613 |
['Either most animals adapt to regions or if silicone is used for varnish, then meters are the domain with integer as the data type.', 'We know that at least one of two things is true: features change over time, or children grow and mature and their needs often change as that happens.', "If features change over time, then the statement that 'most animals adapt to regions' is incorrect.", "If children grow and mature and their needs often change as that happens, then the statement that 'most animals adapt to regions' is incorrect.", "Either overpopulation can be a problem in some aquariums or if the statement 'if silicone is used for varnish, then the notion that 'meters are the domain with integer as the data type' is untrue' can be considered false, then some finches make migration.", "The statement that 'overpopulation can be a problem in some aquariums' is incorrect.", 'If some finches make migration, then vans are capable of transport.', "The statement 'vans are capable of transport' can be considered false."]
|
Either most animals adapt to regions or if silicone is used for varnish, then meters are the domain with integer as the data type. We know that at least one of two things is true: features change over time, or children grow and mature and their needs often change as that happens. If features change over time, then the statement that 'most animals adapt to regions' is incorrect. If children grow and mature and their needs often change as that happens, then the statement that 'most animals adapt to regions' is incorrect. Either overpopulation can be a problem in some aquariums or if the statement 'if silicone is used for varnish, then the notion that 'meters are the domain with integer as the data type' is untrue' can be considered false, then some finches make migration. The statement that 'overpopulation can be a problem in some aquariums' is incorrect. If some finches make migration, then vans are capable of transport. The statement 'vans are capable of transport' can be considered false.
|
Those that suggest silicone is used for varnish are wrong.
|
The notion that 'silicone is the least reactive material used for implant construction' is untrue.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [0], then [1].).
Not [3]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [3].).
If [6], then (Not [3].).
Therefore, Not [3]..
[SC2-1]
Modus Tonens:
If (Not (If [0], then (Not [1].).).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If [0], then (Not [1].).).), then [2].).
Not [4].
Therefore, If (Not (If [0], then (Not [1].).).), then [2]..
[SC2-2]
Modus Tonens:
If [2], then [7].
Not [7].
Therefore, Not [2]..
|
{0: 'Silicone is used for varnish.', 1: 'Meters are the domain with integer as the data type.', 2: 'Some finches make migration.', 3: 'Most animals adapt to regions.', 4: 'Overpopulation can be a problem in some aquariums.', 5: 'Features change over time.', 6: 'Children grow and mature and their needs often change as that happens.', 7: 'Vans are capable of transport.'}
| 6 |
5,533 |
['Either if some fibroids grow inwards towards the womb and others grow outwards into the pelvic cavity, then adequate potassium helps onion plants better withstand injurious cold or if if some dogs have allergies, then some wolves eat melons, then if natural dispersion occurs as the young separate from their parents in early fall, then some people also have breathing problems from inhaling the hairs.', 'Some people mistakenly believe that if some fibroids grow inwards towards the womb and others grow outwards into the pelvic cavity, then adequate potassium helps onion plants better withstand injurious cold.', 'We know that at least one of two things is true: either blued guns have a matte military-like appearance or people get migraine headaches when blood vessels in the head expand, touching nearby pain receptors, or if some dogs have allergies, then some wolves eat melons.', 'It is a fact that either most pygmy rabbits occupy habitats or either scalability allows worlds of arbitrary size to be created or it is a common misconception that either blued guns have a matte military-like appearance or people get migraine headaches when blood vessels in the head expand, touching nearby pain receptors.', "The statement that 'most pygmy rabbits occupy habitats' is incorrect.", 'Should it be the case that scalability allows worlds of arbitrary size to be created, it follows that if springboks have (part) brains, then air has consequences.', 'Those that suggest if springboks have (part) brains, then air has consequences are wrong.']
|
Either if some fibroids grow inwards towards the womb and others grow outwards into the pelvic cavity, then adequate potassium helps onion plants better withstand injurious cold or if if some dogs have allergies, then some wolves eat melons, then if natural dispersion occurs as the young separate from their parents in early fall, then some people also have breathing problems from inhaling the hairs. Some people mistakenly believe that if some fibroids grow inwards towards the womb and others grow outwards into the pelvic cavity, then adequate potassium helps onion plants better withstand injurious cold. We know that at least one of two things is true: either blued guns have a matte military-like appearance or people get migraine headaches when blood vessels in the head expand, touching nearby pain receptors, or if some dogs have allergies, then some wolves eat melons. It is a fact that either most pygmy rabbits occupy habitats or either scalability allows worlds of arbitrary size to be created or it is a common misconception that either blued guns have a matte military-like appearance or people get migraine headaches when blood vessels in the head expand, touching nearby pain receptors. The statement that 'most pygmy rabbits occupy habitats' is incorrect. Should it be the case that scalability allows worlds of arbitrary size to be created, it follows that if springboks have (part) brains, then air has consequences. Those that suggest if springboks have (part) brains, then air has consequences are wrong.
|
Assuming natural dispersion occurs as the young separate from their parents in early fall, we know that some people also have breathing problems from inhaling the hairs.
|
When positions are relative locations is true, it follows that some people also have breathing problems from inhaling the hairs.
|
Uncertain
|
Modus Ponens:
If (If [2], then [3].), then (If [0], then [1].). [SC1-1]
If [2], then [3]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either (If [4], then [5].) or (If (If [2], then [3].), then (If [0], then [1].).).
Not (If [4], then [5].).
Therefore, If (If [2], then [3].), then (If [0], then [1].)..
[SC2-1]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (If [2], then [3].).
Not (Either [6] or [7].). [SC2-2]
Therefore, If [2], then [3]..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (Not (Either [6] or [7].).). [SC1-3]
Not [8]. [SC2-3]
Therefore, Not (Either [6] or [7].)..
[SC1-3]
Disjunctive Syllogism:
Either [9] or (Either [8] or (Not (Either [6] or [7].).).).
Not [9].
Therefore, Either [8] or (Not (Either [6] or [7].).)..
[SC2-3]
Modus Tonens:
If [8], then (If [10], then [11].).
Not (If [10], then [11].).
Therefore, Not [8]..
|
{0: 'Natural dispersion occurs as the young separate from their parents in early fall.', 1: 'Some people also have breathing problems from inhaling the hairs.', 2: 'Some dogs have allergies.', 3: 'Some wolves eat melons.', 4: 'Some fibroids grow inwards towards the womb and others grow outwards into the pelvic cavity.', 5: 'Adequate potassium helps onion plants better withstand injurious cold.', 6: 'Blued guns have a matte military-like appearance.', 7: 'People get migraine headaches when blood vessels in the head expand, touching nearby pain receptors.', 8: 'Scalability allows worlds of arbitrary size to be created.', 9: 'Most pygmy rabbits occupy habitats.', 10: 'Springboks have (part) brains.', 11: 'Air has consequences.'}
| 6 |
5,397 |
['It is rational to believe that either either steam blanching takes somewhat longer than water blanching but helps retain water-soluble vitamins or carpets add warmth to a room, and is always soft and comfortable underfoot or virgins have (part) nuclei.', "When virgins have (part) nuclei is true, it follows that if the statement 'presidents describe behavior' can be considered false, then sharing is an important part of life.", 'If sharing is an important part of life, then spite isa emotion.', 'The claim that spite isa emotion does not correspond with reality.', 'We know that at least one of two things is true: squids have tentacles, or frigates have (part) weapons.', 'If squids have tentacles, then sexual reproduction occurs when the sperm of a male fertilizes the egg of a female.', "Whenever it is true that frigates have (part) weapons, 'if either steam blanching takes somewhat longer than water blanching but helps retain water-soluble vitamins or carpets add warmth to a room, and is always soft and comfortable underfoot, then if the statement 'presidents describe behavior' can be considered false, then sharing is an important part of life' is true.", "Should it be the case that either spruces have (part) corpi or computer technology changes rapidly, almost overnight, it follows that the notion that 'sexual reproduction occurs when the sperm of a male fertilizes the egg of a female' is untrue.", 'We know that either spruces have (part) corpi or computer technology changes rapidly, almost overnight.']
|
It is rational to believe that either either steam blanching takes somewhat longer than water blanching but helps retain water-soluble vitamins or carpets add warmth to a room, and is always soft and comfortable underfoot or virgins have (part) nuclei. When virgins have (part) nuclei is true, it follows that if the statement 'presidents describe behavior' can be considered false, then sharing is an important part of life. If sharing is an important part of life, then spite isa emotion. The claim that spite isa emotion does not correspond with reality. We know that at least one of two things is true: squids have tentacles, or frigates have (part) weapons. If squids have tentacles, then sexual reproduction occurs when the sperm of a male fertilizes the egg of a female. Whenever it is true that frigates have (part) weapons, 'if either steam blanching takes somewhat longer than water blanching but helps retain water-soluble vitamins or carpets add warmth to a room, and is always soft and comfortable underfoot, then if the statement 'presidents describe behavior' can be considered false, then sharing is an important part of life' is true. Should it be the case that either spruces have (part) corpi or computer technology changes rapidly, almost overnight, it follows that the notion that 'sexual reproduction occurs when the sperm of a male fertilizes the egg of a female' is untrue. We know that either spruces have (part) corpi or computer technology changes rapidly, almost overnight.
|
It is the case that presidents describe behavior.
|
It is the case that presidents describe behavior.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4].
If (Either [2] or [3].), then (If (Not [0].), then [1].). [SC2-2]
If [4], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If (Either [2] or [3].), then (If (Not [0].), then [1].).). [SC1-3]
Not [6]. [SC2-3]
Therefore, If (Either [2] or [3].), then (If (Not [0].), then [1].)..
[SC1-3]
Constructive Dilemma:
Either [9] or [10].
If [9], then [6].
If [10], then (If (Either [2] or [3].), then (If (Not [0].), then [1].).).
Therefore, Either [6] or (If (Either [2] or [3].), then (If (Not [0].), then [1].).)..
[SC2-3]
Modus Ponens:
If (Either [7] or [8].), then (Not [6].).
Either [7] or [8].
Therefore, Not [6]..
[SC2-1]
Modus Tonens:
If [1], then [5].
Not [5].
Therefore, Not [1]..
|
{0: 'Presidents describe behavior.', 1: 'Sharing is an important part of life.', 2: 'Steam blanching takes somewhat longer than water blanching but helps retain water-soluble vitamins.', 3: 'Carpets add warmth to a room, and is always soft and comfortable underfoot.', 4: 'Virgins have (part) nuclei.', 5: 'Spite isa emotion.', 6: 'Sexual reproduction occurs when the sperm of a male fertilizes the egg of a female.', 7: 'Spruces have (part) corpi.', 8: 'Computer technology changes rapidly, almost overnight.', 9: 'Squids have tentacles.', 10: 'Frigates have (part) weapons.'}
| 6 |
5,721 |
['At least one of two things is true: if rats go to holes, then any horse surviving the disease almost always has long term brain damage, or marble is balls.', 'When if rats go to holes, then any horse surviving the disease almost always has long term brain damage is true, it follows that either vitamin E is found in the fats of vegetables, dark leafy green vegetables and nuts or ozone is brought down from the stratosphere by vertical winds produced during electrical storms.', 'One may reasonably assume that if marble is balls, then either vitamin E is found in the fats of vegetables, dark leafy green vegetables and nuts or ozone is brought down from the stratosphere by vertical winds produced during electrical storms.', 'Either babblers get their name from the loud, repeated calls they make or lime sulfur is used during the dormant season to denature and kill fungal fruiting bodies or spores.', "Should it be the case that babblers get their name from the loud, repeated calls they make, it follows that the statement 'vitamin E is found in the fats of vegetables, dark leafy green vegetables and nuts' can be considered false.", 'On the condition that it is not the case that if lime sulfur is used during the dormant season to denature and kill fungal fruiting bodies or spores, then food includes small lizards, snakes, frogs and mice, it is definitely the case that numbers are by definition themselves a language, and therefore computers are communicators.', 'The claim that numbers are by definition themselves a language, and therefore computers are communicators does not correspond with reality.', 'We know that at least one of two things is true: joysticks are one simpliest pieces of computer equipment, or recursion is the key element of feedback loops, a basic element of system dynamics.', "If joysticks are one simpliest pieces of computer equipment, then if food includes small lizards, snakes, frogs and mice, then the statement 'vitamin E is found in the fats of vegetables, dark leafy green vegetables and nuts' can be considered false.", "When recursion is the key element of feedback loops, a basic element of system dynamics is true, it follows that if food includes small lizards, snakes, frogs and mice, then the statement 'vitamin E is found in the fats of vegetables, dark leafy green vegetables and nuts' can be considered false."]
|
At least one of two things is true: if rats go to holes, then any horse surviving the disease almost always has long term brain damage, or marble is balls. When if rats go to holes, then any horse surviving the disease almost always has long term brain damage is true, it follows that either vitamin E is found in the fats of vegetables, dark leafy green vegetables and nuts or ozone is brought down from the stratosphere by vertical winds produced during electrical storms. One may reasonably assume that if marble is balls, then either vitamin E is found in the fats of vegetables, dark leafy green vegetables and nuts or ozone is brought down from the stratosphere by vertical winds produced during electrical storms. Either babblers get their name from the loud, repeated calls they make or lime sulfur is used during the dormant season to denature and kill fungal fruiting bodies or spores. Should it be the case that babblers get their name from the loud, repeated calls they make, it follows that the statement 'vitamin E is found in the fats of vegetables, dark leafy green vegetables and nuts' can be considered false. On the condition that it is not the case that if lime sulfur is used during the dormant season to denature and kill fungal fruiting bodies or spores, then food includes small lizards, snakes, frogs and mice, it is definitely the case that numbers are by definition themselves a language, and therefore computers are communicators. The claim that numbers are by definition themselves a language, and therefore computers are communicators does not correspond with reality. We know that at least one of two things is true: joysticks are one simpliest pieces of computer equipment, or recursion is the key element of feedback loops, a basic element of system dynamics. If joysticks are one simpliest pieces of computer equipment, then if food includes small lizards, snakes, frogs and mice, then the statement 'vitamin E is found in the fats of vegetables, dark leafy green vegetables and nuts' can be considered false. When recursion is the key element of feedback loops, a basic element of system dynamics is true, it follows that if food includes small lizards, snakes, frogs and mice, then the statement 'vitamin E is found in the fats of vegetables, dark leafy green vegetables and nuts' can be considered false.
|
It is the case that ozone is brought down from the stratosphere by vertical winds produced during electrical storms.
|
It is the case that ozone is brought down from the stratosphere by vertical winds produced during electrical storms.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (If [2], then [3].) or [4].
If (If [2], then [3].), then (Either [1] or [0].).
If [4], then (Either [1] or [0].).
Therefore, Either [1] or [0]..
[SC2-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [1].).
If [6], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC3-2]
Hypothetical Syllogism:
If [6], then [7]. [SC1-3]
If [7], then (Not [1].). [SC2-3]
Therefore, If [6], then (Not [1].)..
[SC1-3]
Modus Tonens:
If (Not (If [6], then [7].).), then [8].
Not [8].
Therefore, If [6], then [7]..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [7], then (Not [1].).).
If [10], then (If [7], then (Not [1].).).
Therefore, If [7], then (Not [1].)..
|
{0: 'Ozone is brought down from the stratosphere by vertical winds produced during electrical storms.', 1: 'Vitamin E is found in the fats of vegetables, dark leafy green vegetables and nuts.', 2: 'Rats go to holes.', 3: 'Any horse surviving the disease almost always has long term brain damage.', 4: 'Marble is balls.', 5: 'Babblers get their name from the loud, repeated calls they make.', 6: 'Lime sulfur is used during the dormant season to denature and kill fungal fruiting bodies or spores.', 7: 'Food includes small lizards, snakes, frogs and mice.', 8: 'Numbers are by definition themselves a language, and therefore computers are communicators.', 9: 'Joysticks are one simpliest pieces of computer equipment.', 10: 'Recursion is the key element of feedback loops, a basic element of system dynamics.'}
| 6 |
5,858 |
['Should it be the case that the claim that physicians report cases has no merit, it follows that young trees suffer when run over by skiers and snowboarders.', 'We know that either heat water returns to rivers or geopathic stress is caused by negative Earth Energies.', 'Once we know geopathic stress is caused by negative Earth Energies, we also know that either hotels have (part) readsides or if the claim that physicians report cases has no merit, then it is a common misconception that young trees suffer when run over by skiers and snowboarders.', "We know that at least one of two things is true: if tomato plants are extremely sensitive to gas, then crackdowns are suppression, or the notion that 'hotels have (part) readsides' is untrue.", 'It is rational to believe that either guides are located in museums or either antigens are an essential element in the development of powerful, targeted cancer vaccines or first spiders hold their prey with their fangs.', 'Provided that guides are located in museums, we know that if heat water returns to rivers, then either hotels have (part) readsides or if the claim that physicians report cases has no merit, then it is a common misconception that young trees suffer when run over by skiers and snowboarders.', 'One may reasonably assume that if either antigens are an essential element in the development of powerful, targeted cancer vaccines or first spiders hold their prey with their fangs, then if heat water returns to rivers, then either hotels have (part) readsides or if the claim that physicians report cases has no merit, then it is a common misconception that young trees suffer when run over by skiers and snowboarders.', 'At least one of two things is true: zebras never stray far from water, or if bears classify as mammals, then pulpy fruit grows on trees.', 'Given that zebras never stray far from water, it can be inferred that those that suggest if tomato plants are extremely sensitive to gas, then crackdowns are suppression are wrong.', 'When if bears classify as mammals, then pulpy fruit grows on trees is true, it follows that those that suggest if tomato plants are extremely sensitive to gas, then crackdowns are suppression are wrong.']
|
Should it be the case that the claim that physicians report cases has no merit, it follows that young trees suffer when run over by skiers and snowboarders. We know that either heat water returns to rivers or geopathic stress is caused by negative Earth Energies. Once we know geopathic stress is caused by negative Earth Energies, we also know that either hotels have (part) readsides or if the claim that physicians report cases has no merit, then it is a common misconception that young trees suffer when run over by skiers and snowboarders. We know that at least one of two things is true: if tomato plants are extremely sensitive to gas, then crackdowns are suppression, or the notion that 'hotels have (part) readsides' is untrue. It is rational to believe that either guides are located in museums or either antigens are an essential element in the development of powerful, targeted cancer vaccines or first spiders hold their prey with their fangs. Provided that guides are located in museums, we know that if heat water returns to rivers, then either hotels have (part) readsides or if the claim that physicians report cases has no merit, then it is a common misconception that young trees suffer when run over by skiers and snowboarders. One may reasonably assume that if either antigens are an essential element in the development of powerful, targeted cancer vaccines or first spiders hold their prey with their fangs, then if heat water returns to rivers, then either hotels have (part) readsides or if the claim that physicians report cases has no merit, then it is a common misconception that young trees suffer when run over by skiers and snowboarders. At least one of two things is true: zebras never stray far from water, or if bears classify as mammals, then pulpy fruit grows on trees. Given that zebras never stray far from water, it can be inferred that those that suggest if tomato plants are extremely sensitive to gas, then crackdowns are suppression are wrong. When if bears classify as mammals, then pulpy fruit grows on trees is true, it follows that those that suggest if tomato plants are extremely sensitive to gas, then crackdowns are suppression are wrong.
|
It is fair to say that physicians report cases.
|
It is fair to say that physicians report cases.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then (Not [1].).). [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Either [2] or (If (Not [0].), then (Not [1].).).). [SC2-3]
If [4], then (Either [2] or (If (Not [0].), then (Not [1].).).).
Therefore, Either [2] or (If (Not [0].), then (Not [1].).)..
[SC2-3]
Disjunction Elimination:
Either [10] or (Either [11] or [12].).
If [10], then (If [3], then (Either [2] or (If (Not [0].), then (Not [1].).).).).
If (Either [11] or [12].), then (If [3], then (Either [2] or (If (Not [0].), then (Not [1].).).).).
Therefore, If [3], then (Either [2] or (If (Not [0].), then (Not [1].).).)..
[SC2-2]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Not [2].).
Not (If [5], then [6].). [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunction Elimination:
Either [7] or (If [8], then [9].).
If [7], then (Not (If [5], then [6].).).
If (If [8], then [9].), then (Not (If [5], then [6].).).
Therefore, Not (If [5], then [6].)..
|
{0: 'Physicians report cases.', 1: 'Young trees suffer when run over by skiers and snowboarders.', 2: 'Hotels have (part) readsides.', 3: 'Heat water returns to rivers.', 4: 'Geopathic stress is caused by negative Earth Energies.', 5: 'Tomato plants are extremely sensitive to gas.', 6: 'Crackdowns are suppression.', 7: 'Zebras never stray far from water.', 8: 'Bears classify as mammals.', 9: 'Pulpy fruit grows on trees.', 10: 'Guides are located in museums.', 11: 'Antigens are an essential element in the development of powerful, targeted cancer vaccines.', 12: 'First spiders hold their prey with their fangs.'}
| 6 |
5,691 |
["So long as it is not the case that either life insurance plays a fundamental role in most of our plans for financial security or if a bushman is a pioneer, then raw food has nutrients, 'scientific research predicts world-wide risks' is true.", "If it is not the case that either life insurance plays a fundamental role in most of our plans for financial security or if a bushman is a pioneer, then raw food has nutrients, then the statement that 'scientific research predicts world-wide risks' is incorrect.", 'One may reasonably assume that if either evidence indicates causes or seed dormancy varies among populations, then if life insurance plays a fundamental role in most of our plans for financial security, then quills pierce flesh.', 'At least one of two things is true: evidence indicates causes, or seed dormancy varies among populations.', 'On the condition that the statement, if if a bushman is a pioneer, then raw food has nutrients, then quills pierce flesh, does not hold, it is definitely the case that age has very little to do with ability.', 'We know that at least one of two things is true: if cars have (part) petrol engines, then education is a shared responsibility of family, school and community, or collar bones Put strong pressure on the collar bones.', 'Assuming collar bones Put strong pressure on the collar bones, we know that if the statement, if if a bushman is a pioneer, then raw food has nutrients, then quills pierce flesh, does not hold, then the claim that age has very little to do with ability is false.', "Whenever it is true that the claim that if if cars have (part) petrol engines, then education is a shared responsibility of family, school and community, then if the statement, if if a bushman is a pioneer, then raw food has nutrients, then quills pierce flesh, does not hold, then the claim that age has very little to do with ability is false is false, 'plants can store other pigments in organelles similar to chloroplasts' is true.", 'When the claim that if if cars have (part) petrol engines, then education is a shared responsibility of family, school and community, then if the statement, if if a bushman is a pioneer, then raw food has nutrients, then quills pierce flesh, does not hold, then the claim that age has very little to do with ability is false is false is true, it follows that it is a common misconception that plants can store other pigments in organelles similar to chloroplasts.']
|
So long as it is not the case that either life insurance plays a fundamental role in most of our plans for financial security or if a bushman is a pioneer, then raw food has nutrients, 'scientific research predicts world-wide risks' is true. If it is not the case that either life insurance plays a fundamental role in most of our plans for financial security or if a bushman is a pioneer, then raw food has nutrients, then the statement that 'scientific research predicts world-wide risks' is incorrect. One may reasonably assume that if either evidence indicates causes or seed dormancy varies among populations, then if life insurance plays a fundamental role in most of our plans for financial security, then quills pierce flesh. At least one of two things is true: evidence indicates causes, or seed dormancy varies among populations. On the condition that the statement, if if a bushman is a pioneer, then raw food has nutrients, then quills pierce flesh, does not hold, it is definitely the case that age has very little to do with ability. We know that at least one of two things is true: if cars have (part) petrol engines, then education is a shared responsibility of family, school and community, or collar bones Put strong pressure on the collar bones. Assuming collar bones Put strong pressure on the collar bones, we know that if the statement, if if a bushman is a pioneer, then raw food has nutrients, then quills pierce flesh, does not hold, then the claim that age has very little to do with ability is false. Whenever it is true that the claim that if if cars have (part) petrol engines, then education is a shared responsibility of family, school and community, then if the statement, if if a bushman is a pioneer, then raw food has nutrients, then quills pierce flesh, does not hold, then the claim that age has very little to do with ability is false is false, 'plants can store other pigments in organelles similar to chloroplasts' is true. When the claim that if if cars have (part) petrol engines, then education is a shared responsibility of family, school and community, then if the statement, if if a bushman is a pioneer, then raw food has nutrients, then quills pierce flesh, does not hold, then the claim that age has very little to do with ability is false is false is true, it follows that it is a common misconception that plants can store other pigments in organelles similar to chloroplasts.
|
Those that suggest quills pierce flesh are right.
|
Those that suggest quills pierce flesh are right.
|
TRUE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].). [SC1-1]
If [1], then [0]. [SC2-1]
If (If [2], then [3].), then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or (If [2], then [3].).).), then [4].
If (Not (Either [1] or (If [2], then [3].).).), then (Not [4].).
Therefore, Either [1] or (If [2], then [3].)..
[SC2-1]
Modus Ponens:
If (Either [5] or [6].), then (If [1], then [0].).
Either [5] or [6].
Therefore, If [1], then [0]..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If (If [2], then [3].), then [0].).), then [7].
If (Not (If (If [2], then [3].), then [0].).), then (Not [7].). [SC2-2]
Therefore, If (If [2], then [3].), then [0]..
[SC2-2]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then (If (Not (If (If [2], then [3].), then [0].).), then (Not [7].).). [SC2-3]
If [10], then (If (Not (If (If [2], then [3].), then [0].).), then (Not [7].).).
Therefore, If (Not (If (If [2], then [3].), then [0].).), then (Not [7].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (If [8], then [9].), then (If (Not (If (If [2], then [3].), then [0].).), then (Not [7].).).).), then [11].
If (Not (If (If [8], then [9].), then (If (Not (If (If [2], then [3].), then [0].).), then (Not [7].).).).), then (Not [11].).
Therefore, If (If [8], then [9].), then (If (Not (If (If [2], then [3].), then [0].).), then (Not [7].).)..
|
{0: 'Quills pierce flesh.', 1: 'Life insurance plays a fundamental role in most of our plans for financial security.', 2: 'A bushman is a pioneer.', 3: 'Raw food has nutrients.', 4: 'Scientific research predicts world-wide risks.', 5: 'Evidence indicates causes.', 6: 'Seed dormancy varies among populations.', 7: 'Age has very little to do with ability.', 8: 'Cars have (part) petrol engines.', 9: 'Education is a shared responsibility of family, school and community.', 10: 'Collar bones Put strong pressure on the collar bones.', 11: 'Plants can store other pigments in organelles similar to chloroplasts.'}
| 6 |
5,104 |
['If most people producing agricultural products also have jobs in industry, then food provides nourishment.', 'Given that jackals are territorial and mark and defend their territory, it can be inferred that if some people mistakenly believe that if immature birds have gray feathers, then most people producing agricultural products also have jobs in industry, then most animals have complex structures.', 'It is reasonable to believe that jackals are territorial and mark and defend their territory.', 'Should it be the case that most animals have complex structures, it follows that firearms now surpass automobiles as the number one cause of injury-related deaths in California.', "Whenever it is true that most animals have complex structures, 'the claim that firearms now surpass automobiles as the number one cause of injury-related deaths in California does not reflect reality' is true.", 'Should it be the case that food provides nourishment, it follows that either interest rates are exs or most hormones are made by pineal glands.', 'Provided that food provides nourishment, we know that the claim that either interest rates are exs or most hormones are made by pineal glands does not correspond with reality.']
|
If most people producing agricultural products also have jobs in industry, then food provides nourishment. Given that jackals are territorial and mark and defend their territory, it can be inferred that if some people mistakenly believe that if immature birds have gray feathers, then most people producing agricultural products also have jobs in industry, then most animals have complex structures. It is reasonable to believe that jackals are territorial and mark and defend their territory. Should it be the case that most animals have complex structures, it follows that firearms now surpass automobiles as the number one cause of injury-related deaths in California. Whenever it is true that most animals have complex structures, 'the claim that firearms now surpass automobiles as the number one cause of injury-related deaths in California does not reflect reality' is true. Should it be the case that food provides nourishment, it follows that either interest rates are exs or most hormones are made by pineal glands. Provided that food provides nourishment, we know that the claim that either interest rates are exs or most hormones are made by pineal glands does not correspond with reality.
|
It is a common misconception that immature birds have gray feathers.
|
It is a common misconception that immature birds have gray feathers.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If [0], then [1].).), then [2].).
[4]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [7].
If [2], then (Not [7].).
Therefore, Not [2]..
[SC2-1]
Modus Tonens:
If [1], then [3].
Not [3]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If [3], then (Either [5] or [6].).
If [3], then (Not (Either [5] or [6].).).
Therefore, Not [3]..
|
{0: 'Immature birds have gray feathers.', 1: 'Most people producing agricultural products also have jobs in industry.', 2: 'Most animals have complex structures.', 3: 'Food provides nourishment.', 4: 'Jackals are territorial and mark and defend their territory.', 5: 'Interest rates are exs.', 6: 'Most hormones are made by pineal glands.', 7: 'Firearms now surpass automobiles as the number one cause of injury-related deaths in California.'}
| 6 |
5,303 |
['some manor halls are part of palaces.', "So long as the notion that 'cannabis remains the most widely trafficked drug' is untrue, 'if effective communication is rooted in knowing how and when to just listen, then most plants attract herbivores' is true.", 'When if effective communication is rooted in knowing how and when to just listen, then most plants attract herbivores is true, it follows that those that suggest either students to identify problems or male cassowaries defend territory are wrong.', 'It is rational to believe that either development IS a form of pollution or ectotherms are more able to reduce their metabolism during times of low food availability.', 'If development IS a form of pollution, then herbivores feed upon leaves.', "Once we know ectotherms are more able to reduce their metabolism during times of low food availability, we also know that if some manor halls are part of palaces, then if the notion that 'cannabis remains the most widely trafficked drug' is untrue, then either students to identify problems or male cassowaries defend territory.", 'When herbivores feed upon leaves is true, it follows that areas show variation.', "The notion that 'areas show variation' is untrue."]
|
some manor halls are part of palaces. So long as the notion that 'cannabis remains the most widely trafficked drug' is untrue, 'if effective communication is rooted in knowing how and when to just listen, then most plants attract herbivores' is true. When if effective communication is rooted in knowing how and when to just listen, then most plants attract herbivores is true, it follows that those that suggest either students to identify problems or male cassowaries defend territory are wrong. It is rational to believe that either development IS a form of pollution or ectotherms are more able to reduce their metabolism during times of low food availability. If development IS a form of pollution, then herbivores feed upon leaves. Once we know ectotherms are more able to reduce their metabolism during times of low food availability, we also know that if some manor halls are part of palaces, then if the notion that 'cannabis remains the most widely trafficked drug' is untrue, then either students to identify problems or male cassowaries defend territory. When herbivores feed upon leaves is true, it follows that areas show variation. The notion that 'areas show variation' is untrue.
|
The idea that cannabis remains the most widely trafficked drug is true.
|
The idea that cannabis remains the most widely trafficked drug is true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
If (Not [0].), then (Not (Either [1] or [2].).). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Either [1] or [2].).). [SC1-2]
[3]
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If [3], then (If (Not [0].), then (Either [1] or [2].).).). [SC1-3]
Not [6]. [SC2-3]
Therefore, If [3], then (If (Not [0].), then (Either [1] or [2].).)..
[SC1-3]
Constructive Dilemma:
Either [7] or [8].
If [7], then [6].
If [8], then (If [3], then (If (Not [0].), then (Either [1] or [2].).).).
Therefore, Either [6] or (If [3], then (If (Not [0].), then (Either [1] or [2].).).)..
[SC2-3]
Modus Tonens:
If [6], then [9].
Not [9].
Therefore, Not [6]..
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then (If [4], then [5].).
If (If [4], then [5].), then (Not (Either [1] or [2].).).
Therefore, If (Not [0].), then (Not (Either [1] or [2].).)..
|
{0: 'Cannabis remains the most widely trafficked drug.', 1: 'Students to identify problems.', 2: 'Male cassowaries defend territory.', 3: 'Some manor halls are part of palaces.', 4: 'Effective communication is rooted in knowing how and when to just listen.', 5: 'Most plants attract herbivores.', 6: 'Herbivores feed upon leaves.', 7: 'Development IS a form of pollution.', 8: 'Ectotherms are more able to reduce their metabolism during times of low food availability.', 9: 'Areas show variation.'}
| 6 |
5,549 |
['Some people mistakenly believe that chain link single wheel carriers are used on rolling gates.', "So long as the claim that if people can help prevent heart problems by living healthy lives, then deer are picky eaters and they have an order of preference for eating plants is false, 'legs are used for walking' is true.", "So long as the statement that 'either chain link single wheel carriers are used on rolling gates or if some asparagus helps cure cancer, then people can help prevent heart problems by living healthy lives' is incorrect, 'most ponies are of Celtic origin' is true.", 'The claim that most ponies are of Celtic origin does not reflect reality.', "Whenever it is true that most wild animals have behaviour, 'the claim that legs are used for walking does not reflect reality' is true.", "So long as the statement that 'most wild animals have behaviour' is incorrect, 'if intensity depends upon the strength of the vibrations producing the sound, then gas is a freely traded commodity with transparent pricing' is true.", "One may reasonably assume that if the statement that 'most wild animals have behaviour' is incorrect, then the statement that states if intensity depends upon the strength of the vibrations producing the sound, then gas is a freely traded commodity with transparent pricing is false."]
|
Some people mistakenly believe that chain link single wheel carriers are used on rolling gates. So long as the claim that if people can help prevent heart problems by living healthy lives, then deer are picky eaters and they have an order of preference for eating plants is false, 'legs are used for walking' is true. So long as the statement that 'either chain link single wheel carriers are used on rolling gates or if some asparagus helps cure cancer, then people can help prevent heart problems by living healthy lives' is incorrect, 'most ponies are of Celtic origin' is true. The claim that most ponies are of Celtic origin does not reflect reality. Whenever it is true that most wild animals have behaviour, 'the claim that legs are used for walking does not reflect reality' is true. So long as the statement that 'most wild animals have behaviour' is incorrect, 'if intensity depends upon the strength of the vibrations producing the sound, then gas is a freely traded commodity with transparent pricing' is true. One may reasonably assume that if the statement that 'most wild animals have behaviour' is incorrect, then the statement that states if intensity depends upon the strength of the vibrations producing the sound, then gas is a freely traded commodity with transparent pricing is false.
|
Once we know some asparagus helps cure cancer, we also know that deer are picky eaters and they have an order of preference for eating plants.
|
Should it be the case that some asparagus has geotropisms, it follows that deer are picky eaters and they have an order of preference for eating plants.
|
Uncertain
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (If [0], then [2].). [SC1-2]
Not [4].
Therefore, If [0], then [2]..
[SC1-2]
Modus Tonens:
If (Not (Either [4] or (If [0], then [2].).).), then [5].
Not [5].
Therefore, Either [4] or (If [0], then [2].)..
[SC2-1]
Modus Tonens:
If (Not (If [2], then [1].).), then [3].
Not [3]. [SC2-2]
Therefore, If [2], then [1]..
[SC2-2]
Modus Ponens:
If [6], then (Not [3].).
[6] [SC2-3]
Therefore, Not [3]..
[SC2-3]
Reductio Ad Absurdum:
If (Not [6].), then (If [7], then [8].).
If (Not [6].), then (Not (If [7], then [8].).).
Therefore, [6].
|
{0: 'Some asparagus helps cure cancer.', 1: 'Deer are picky eaters and they have an order of preference for eating plants.', 2: 'People can help prevent heart problems by living healthy lives.', 3: 'Legs are used for walking.', 4: 'Chain link single wheel carriers are used on rolling gates.', 5: 'Most ponies are of Celtic origin.', 6: 'Most wild animals have behaviour.', 7: 'Intensity depends upon the strength of the vibrations producing the sound.', 8: 'Gas is a freely traded commodity with transparent pricing.'}
| 6 |
5,729 |
['air is made up of tiny particles.', 'Once we know most spiders breathe through spiracles, we also know that railings have (part) bases.', "Whenever it is true that if water treeing can be electromechanical or elechemical in nature, then vaginal discharge is the biological fluid secreted from the vagina , 'if air is made up of tiny particles, then most spiders breathe through spiracles' is true.", "We know that at least one of two things is true: wetlands are one of the most imperiled of California's natural resources, or if some people mistakenly believe that if water treeing can be electromechanical or elechemical in nature, then vaginal discharge is the biological fluid secreted from the vagina , then mature love means liking a person as well as loving.", "The notion that 'wetlands are one of the most imperiled of California's natural resources' is untrue.", "Either floodplains usually host parkland or ragged wildland and feature good camp spots or if some people mistakenly believe that if water treeing can be electromechanical or elechemical in nature, then vaginal discharge is the biological fluid secreted from the vagina , then the statement 'mature love means liking a person as well as loving' can be considered false.", 'The claim that floodplains usually host parkland or ragged wildland and feature good camp spots has no merit.']
|
air is made up of tiny particles. Once we know most spiders breathe through spiracles, we also know that railings have (part) bases. Whenever it is true that if water treeing can be electromechanical or elechemical in nature, then vaginal discharge is the biological fluid secreted from the vagina , 'if air is made up of tiny particles, then most spiders breathe through spiracles' is true. We know that at least one of two things is true: wetlands are one of the most imperiled of California's natural resources, or if some people mistakenly believe that if water treeing can be electromechanical or elechemical in nature, then vaginal discharge is the biological fluid secreted from the vagina , then mature love means liking a person as well as loving. The notion that 'wetlands are one of the most imperiled of California's natural resources' is untrue. Either floodplains usually host parkland or ragged wildland and feature good camp spots or if some people mistakenly believe that if water treeing can be electromechanical or elechemical in nature, then vaginal discharge is the biological fluid secreted from the vagina , then the statement 'mature love means liking a person as well as loving' can be considered false. The claim that floodplains usually host parkland or ragged wildland and feature good camp spots has no merit.
|
It is reasonable to believe that railings have (part) bases.
|
It is reasonable to believe that railings have (part) bases.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [2]. [SC1-2]
If [2], then [0].
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If (If [3], then [4].), then (If [1], then [2].).
If [3], then [4]. [SC2-3]
Therefore, If [1], then [2]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [3], then [4].).), then [5]. [SC1-4]
If (Not (If [3], then [4].).), then (Not [5].). [SC2-4]
Therefore, If [3], then [4]..
[SC1-4]
Disjunctive Syllogism:
Either [6] or (If (Not (If [3], then [4].).), then [5].).
Not [6].
Therefore, If (Not (If [3], then [4].).), then [5]..
[SC2-4]
Disjunctive Syllogism:
Either [7] or (If (Not (If [3], then [4].).), then (Not [5].).).
Not [7].
Therefore, If (Not (If [3], then [4].).), then (Not [5].)..
|
{0: 'Railings have (part) bases.', 1: 'Air is made up of tiny particles.', 2: 'Most spiders breathe through spiracles.', 3: 'Water treeing can be electromechanical or elechemical in nature.', 4: 'Vaginal discharge is the biological fluid secreted from the vagina .', 5: 'Mature love means liking a person as well as loving.', 6: "Wetlands are one of the most imperiled of California's natural resources.", 7: 'Floodplains usually host parkland or ragged wildland and feature good camp spots.'}
| 6 |
5,208 |
['If those that suggest if if pontoons are part of amphibians, then many drugs are poisonous if taken in overdose, then water moves faster through sandy soils than through clay soils are wrong, then more substances dissolve in water than in any other liquid.', "The statement 'more substances dissolve in water than in any other liquid' can be considered false.", "There is good reason to believe that either many parents are concerned if a child, even an obese child, refuses a meal or particular food or either lead forms a series of oxides, which are important compounds or if if pontoons are part of amphibians, then many drugs are poisonous if taken in overdose, then the statement that 'water moves faster through sandy soils than through clay soils' is incorrect.", 'The statement that states many parents are concerned if a child, even an obese child, refuses a meal or particular food is false.', 'The claim that many herbicides adhere to organic material and are deactivated does not correspond with reality.', 'Either some minerals stimulate excretion or if lead forms a series of oxides, which are important compounds, then many herbicides adhere to organic material and are deactivated.', "The notion that 'some minerals stimulate excretion' is untrue."]
|
If those that suggest if if pontoons are part of amphibians, then many drugs are poisonous if taken in overdose, then water moves faster through sandy soils than through clay soils are wrong, then more substances dissolve in water than in any other liquid. The statement 'more substances dissolve in water than in any other liquid' can be considered false. There is good reason to believe that either many parents are concerned if a child, even an obese child, refuses a meal or particular food or either lead forms a series of oxides, which are important compounds or if if pontoons are part of amphibians, then many drugs are poisonous if taken in overdose, then the statement that 'water moves faster through sandy soils than through clay soils' is incorrect. The statement that states many parents are concerned if a child, even an obese child, refuses a meal or particular food is false. The claim that many herbicides adhere to organic material and are deactivated does not correspond with reality. Either some minerals stimulate excretion or if lead forms a series of oxides, which are important compounds, then many herbicides adhere to organic material and are deactivated. The notion that 'some minerals stimulate excretion' is untrue.
|
The statement, if pontoons are part of amphibians, then many drugs are poisonous if taken in overdose, does not hold.
|
The statement, if pontoons are part of amphibians, then many drugs are poisonous if taken in overdose, does not hold.
|
TRUE
|
Reductio Ad Absurdum:
If (If [0], then [1].), then [2]. [SC1-1]
If (If [0], then [1].), then (Not [2].). [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Modus Tonens:
If (Not (If (If [0], then [1].), then [2].).), then [4].
Not [4].
Therefore, If (If [0], then [1].), then [2]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If (If [0], then [1].), then (Not [2].).). [SC1-2]
Not [3]. [SC2-2]
Therefore, If (If [0], then [1].), then (Not [2].)..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (Either [3] or (If (If [0], then [1].), then (Not [2].).).).
Not [5].
Therefore, Either [3] or (If (If [0], then [1].), then (Not [2].).)..
[SC2-2]
Modus Tonens:
If [3], then [6]. [SC1-3]
Not [6].
Therefore, Not [3]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If [3], then [6].).
Not [7].
Therefore, If [3], then [6]..
|
{0: 'Pontoons are part of amphibians.', 1: 'Many drugs are poisonous if taken in overdose.', 2: 'Water moves faster through sandy soils than through clay soils.', 3: 'Lead forms a series of oxides, which are important compounds.', 4: 'More substances dissolve in water than in any other liquid.', 5: 'Many parents are concerned if a child, even an obese child, refuses a meal or particular food.', 6: 'Many herbicides adhere to organic material and are deactivated.', 7: 'Some minerals stimulate excretion.'}
| 6 |
5,302 |
["Should it be the case that the claim that if the claim that urologists also specialize in treatment of the genital organs in men does not reflect reality, then plagiarism constitutes the use of another person's work without proper acknowledgment of that work has no merit, it follows that silkworms are very hungry .", "The notion that 'silkworms are very hungry ' is untrue.", 'It is not true that either most leaves have properties or water molecules are polar, having slight positive and negative sides, which causes their cohesion.', "Provided that some people mistakenly believe that either pixel intensity represents an average from tissue within the voxel or if plagiarism constitutes the use of another person's work without proper acknowledgment of that work, then either most leaves have properties or water molecules are polar, having slight positive and negative sides, which causes their cohesion, we know that fluids are amounts of matter composed of molecules and atoms weakly bonded together.", 'The statement that states fluids are amounts of matter composed of molecules and atoms weakly bonded together is false.', 'When pixel intensity represents an average from tissue within the voxel is true, it follows that left fields are tracts.', 'One may reasonably assume that if pixel intensity represents an average from tissue within the voxel, then the claim that left fields are tracts is false.']
|
Should it be the case that the claim that if the claim that urologists also specialize in treatment of the genital organs in men does not reflect reality, then plagiarism constitutes the use of another person's work without proper acknowledgment of that work has no merit, it follows that silkworms are very hungry . The notion that 'silkworms are very hungry ' is untrue. It is not true that either most leaves have properties or water molecules are polar, having slight positive and negative sides, which causes their cohesion. Provided that some people mistakenly believe that either pixel intensity represents an average from tissue within the voxel or if plagiarism constitutes the use of another person's work without proper acknowledgment of that work, then either most leaves have properties or water molecules are polar, having slight positive and negative sides, which causes their cohesion, we know that fluids are amounts of matter composed of molecules and atoms weakly bonded together. The statement that states fluids are amounts of matter composed of molecules and atoms weakly bonded together is false. When pixel intensity represents an average from tissue within the voxel is true, it follows that left fields are tracts. One may reasonably assume that if pixel intensity represents an average from tissue within the voxel, then the claim that left fields are tracts is false.
|
Many people rightly believe that urologists also specialize in treatment of the genital organs in men.
|
Many people rightly believe that urologists also specialize in treatment of the genital organs in men.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [4].
Not [4].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Tonens:
If [1], then (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].).
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [1], then (Either [2] or [3].).). [SC1-3]
Not [5]. [SC2-3]
Therefore, If [1], then (Either [2] or [3].)..
[SC1-3]
Modus Tonens:
If (Not (Either [5] or (If [1], then (Either [2] or [3].).).).), then [7].
Not [7].
Therefore, Either [5] or (If [1], then (Either [2] or [3].).)..
[SC2-3]
Reductio Ad Absurdum:
If [5], then [6].
If [5], then (Not [6].).
Therefore, Not [5]..
|
{0: 'Urologists also specialize in treatment of the genital organs in men.', 1: "Plagiarism constitutes the use of another person's work without proper acknowledgment of that work.", 2: 'Most leaves have properties.', 3: 'Water molecules are polar, having slight positive and negative sides, which causes their cohesion.', 4: 'Silkworms are very hungry .', 5: 'Pixel intensity represents an average from tissue within the voxel.', 6: 'Left fields are tracts.', 7: 'Fluids are amounts of matter composed of molecules and atoms weakly bonded together.'}
| 6 |
5,051 |
['At least one of two things is true: if snails have two pairs of tentacles on the head, then muscle is heavier in weight than fat, or filtration is key in any system solution to indoor air quality.', 'If filtration is key in any system solution to indoor air quality, then religion involves ultimate values.', 'When pinworms are parasites is true, it follows that if an effect is a phenomenon, then religion involves ultimate values.', 'It is fair to say that pinworms are parasites.', "Provided that the statement that 'if if snails have two pairs of tentacles on the head, then muscle is heavier in weight than fat, then an effect is a phenomenon' is incorrect, we know that cardiology is one of the fastest moving fields in medicine.", 'If cardiology is one of the fastest moving fields in medicine, then criminology is the scientific study of crime and criminals.', "So long as those that suggest if the statement that 'if if snails have two pairs of tentacles on the head, then muscle is heavier in weight than fat, then an effect is a phenomenon' is incorrect, then some people mistakenly believe that criminology is the scientific study of crime and criminals are wrong, 'most burial sites have significant cultural values' is true.", "Whenever it is true that those that suggest if the statement that 'if if snails have two pairs of tentacles on the head, then muscle is heavier in weight than fat, then an effect is a phenomenon' is incorrect, then some people mistakenly believe that criminology is the scientific study of crime and criminals are wrong, 'the claim that most burial sites have significant cultural values has no merit' is true."]
|
At least one of two things is true: if snails have two pairs of tentacles on the head, then muscle is heavier in weight than fat, or filtration is key in any system solution to indoor air quality. If filtration is key in any system solution to indoor air quality, then religion involves ultimate values. When pinworms are parasites is true, it follows that if an effect is a phenomenon, then religion involves ultimate values. It is fair to say that pinworms are parasites. Provided that the statement that 'if if snails have two pairs of tentacles on the head, then muscle is heavier in weight than fat, then an effect is a phenomenon' is incorrect, we know that cardiology is one of the fastest moving fields in medicine. If cardiology is one of the fastest moving fields in medicine, then criminology is the scientific study of crime and criminals. So long as those that suggest if the statement that 'if if snails have two pairs of tentacles on the head, then muscle is heavier in weight than fat, then an effect is a phenomenon' is incorrect, then some people mistakenly believe that criminology is the scientific study of crime and criminals are wrong, 'most burial sites have significant cultural values' is true. Whenever it is true that those that suggest if the statement that 'if if snails have two pairs of tentacles on the head, then muscle is heavier in weight than fat, then an effect is a phenomenon' is incorrect, then some people mistakenly believe that criminology is the scientific study of crime and criminals are wrong, 'the claim that most burial sites have significant cultural values has no merit' is true.
|
religion involves ultimate values.
|
Religion is the form spirituality takes when enacted in groups.
|
Uncertain
|
Disjunction Elimination:
Either (If [1], then [2].) or [3].
If (If [1], then [2].), then [0]. [SC2-1]
If [3], then [0].
Therefore, [0].
[SC2-1]
Hypothetical Syllogism:
If (If [1], then [2].), then [4]. [SC1-2]
If [4], then [0]. [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (If [1], then [2].), then [4].).), then [6]. [SC1-3]
If (Not (If (If [1], then [2].), then [4].).), then (Not [6].). [SC2-3]
Therefore, If (If [1], then [2].), then [4]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If (If [1], then [2].), then [4].).), then [8].
If [8], then [6].
Therefore, If (Not (If (If [1], then [2].), then [4].).), then [6]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (If [1], then [2].), then [4].).), then (Not [6].).).), then [7].
If (Not (If (Not (If (If [1], then [2].), then [4].).), then (Not [6].).).), then (Not [7].).
Therefore, If (Not (If (If [1], then [2].), then [4].).), then (Not [6].)..
[SC2-2]
Modus Ponens:
If [5], then (If [4], then [0].).
[5]
Therefore, If [4], then [0]..
|
{0: 'Religion involves ultimate values.', 1: 'Snails have two pairs of tentacles on the head.', 2: 'Muscle is heavier in weight than fat.', 3: 'Filtration is key in any system solution to indoor air quality.', 4: 'An effect is a phenomenon.', 5: 'Pinworms are parasites.', 6: 'Criminology is the scientific study of crime and criminals.', 7: 'Most burial sites have significant cultural values.', 8: 'Cardiology is one of the fastest moving fields in medicine.'}
| 6 |
5,090 |
['Provided that either dopamine is a neurotransmitter in the brain that is associated with pleasure or penny isa unit, we know that tamarins have (part) sections.', 'Provided that producers take in carbon dioxide from the atmosphere in the process of photosynthesis, we know that rape is a crime of violence and power, it has nothing to do with sexual attraction.', 'Provided that tamarins have (part) sections, we know that turkey is the country with the second most journalists in jail, after China.', 'On the condition that turkey is the country with the second most journalists in jail, after China, it is definitely the case that software bugs are basically weaknesses in a program that someone has found a way to exploit.', 'Provided that we know that the claim that if rape is a crime of violence and power, it has nothing to do with sexual attraction, then software bugs are basically weaknesses in a program that someone has found a way to exploit is false, we know that osteoporosis is a prevalent age-related disease characterized by decreased bone mass.', "Once we know we know that the claim that if rape is a crime of violence and power, it has nothing to do with sexual attraction, then software bugs are basically weaknesses in a program that someone has found a way to exploit is false, we also know that the statement that 'osteoporosis is a prevalent age-related disease characterized by decreased bone mass' is incorrect.", 'Provided that either some herbal remedies contain stimulant agents, such as ephedra or mental disorders represent a grave threat to the health and well-being of older adults, we know that either dopamine is a neurotransmitter in the brain that is associated with pleasure or penny isa unit.', 'Should it be the case that weather observers can determine if snow is wet or dry, it follows that producers take in carbon dioxide from the atmosphere in the process of photosynthesis.', "Whenever it is true that the statement that states either either some herbal remedies contain stimulant agents, such as ephedra or mental disorders represent a grave threat to the health and well-being of older adults or weather observers can determine if snow is wet or dry is false, 'girls like to have their rumps licked' is true.", 'The claim that girls like to have their rumps licked does not reflect reality.']
|
Provided that either dopamine is a neurotransmitter in the brain that is associated with pleasure or penny isa unit, we know that tamarins have (part) sections. Provided that producers take in carbon dioxide from the atmosphere in the process of photosynthesis, we know that rape is a crime of violence and power, it has nothing to do with sexual attraction. Provided that tamarins have (part) sections, we know that turkey is the country with the second most journalists in jail, after China. On the condition that turkey is the country with the second most journalists in jail, after China, it is definitely the case that software bugs are basically weaknesses in a program that someone has found a way to exploit. Provided that we know that the claim that if rape is a crime of violence and power, it has nothing to do with sexual attraction, then software bugs are basically weaknesses in a program that someone has found a way to exploit is false, we know that osteoporosis is a prevalent age-related disease characterized by decreased bone mass. Once we know we know that the claim that if rape is a crime of violence and power, it has nothing to do with sexual attraction, then software bugs are basically weaknesses in a program that someone has found a way to exploit is false, we also know that the statement that 'osteoporosis is a prevalent age-related disease characterized by decreased bone mass' is incorrect. Provided that either some herbal remedies contain stimulant agents, such as ephedra or mental disorders represent a grave threat to the health and well-being of older adults, we know that either dopamine is a neurotransmitter in the brain that is associated with pleasure or penny isa unit. Should it be the case that weather observers can determine if snow is wet or dry, it follows that producers take in carbon dioxide from the atmosphere in the process of photosynthesis. Whenever it is true that the statement that states either either some herbal remedies contain stimulant agents, such as ephedra or mental disorders represent a grave threat to the health and well-being of older adults or weather observers can determine if snow is wet or dry is false, 'girls like to have their rumps licked' is true. The claim that girls like to have their rumps licked does not reflect reality.
|
The claim that software bugs are basically weaknesses in a program that someone has found a way to exploit is true.
|
Those that suggest software bugs are basically weaknesses in a program that someone has found a way to exploit are wrong.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either (Either [5] or [6].) or [7]. [SC1-2]
If (Either [5] or [6].), then [1].
If [7], then [2].
Therefore, Either [1] or [2]..
[SC1-2]
Constructive Dilemma:
Either (Either [8] or [9].) or [10]. [SC1-3]
If (Either [8] or [9].), then (Either [5] or [6].).
If [10], then [7].
Therefore, Either (Either [5] or [6].) or [7]..
[SC1-3]
Modus Tonens:
If (Not (Either (Either [8] or [9].) or [10].).), then [11].
Not [11].
Therefore, Either (Either [8] or [9].) or [10]..
[SC2-1]
Hypothetical Syllogism:
If [1], then [3].
If [3], then [0].
Therefore, If [1], then [0]..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [4].
If (Not (If [2], then [0].).), then (Not [4].).
Therefore, If [2], then [0]..
|
{0: 'Software bugs are basically weaknesses in a program that someone has found a way to exploit.', 1: 'Tamarins have (part) sections.', 2: 'Rape is a crime of violence and power, it has nothing to do with sexual attraction.', 3: 'Turkey is the country with the second most journalists in jail, after China.', 4: 'Osteoporosis is a prevalent age-related disease characterized by decreased bone mass.', 5: 'Dopamine is a neurotransmitter in the brain that is associated with pleasure.', 6: 'Penny isa unit.', 7: 'Producers take in carbon dioxide from the atmosphere in the process of photosynthesis.', 8: 'Some herbal remedies contain stimulant agents, such as ephedra.', 9: 'Mental disorders represent a grave threat to the health and well-being of older adults.', 10: 'Weather observers can determine if snow is wet or dry.', 11: 'Girls like to have their rumps licked.'}
| 6 |
5,354 |
['We know that the claim that alcoholic cardiomyopathy is a consequence of excessive alcohol use is false.', 'Provided that estuaries differ from rivers in many regards, we know that if it is not true that either if cosmology is a rapidly growing field, then media are ad-driven businesses or vomit has hydrochloric acid, then instructors have (part) plasma membranes.', "The statement 'estuaries differ from rivers in many regards' can be considered true.", 'Given that it is not true that either if cosmology is a rapidly growing field, then media are ad-driven businesses or vomit has hydrochloric acid, it can be inferred that bureaucracies develop systems that try and work for the greater good for the most people.', 'If bureaucracies develop systems that try and work for the greater good for the most people, then the statement, instructors have (part) plasma membranes, does not hold.', 'Should it be the case that if cosmology is a rapidly growing field, then media are ad-driven businesses, it follows that most tigers require water.', "Whenever it is true that most tigers require water, 'alcoholic cardiomyopathy is a consequence of excessive alcohol use ' is true."]
|
We know that the claim that alcoholic cardiomyopathy is a consequence of excessive alcohol use is false. Provided that estuaries differ from rivers in many regards, we know that if it is not true that either if cosmology is a rapidly growing field, then media are ad-driven businesses or vomit has hydrochloric acid, then instructors have (part) plasma membranes. The statement 'estuaries differ from rivers in many regards' can be considered true. Given that it is not true that either if cosmology is a rapidly growing field, then media are ad-driven businesses or vomit has hydrochloric acid, it can be inferred that bureaucracies develop systems that try and work for the greater good for the most people. If bureaucracies develop systems that try and work for the greater good for the most people, then the statement, instructors have (part) plasma membranes, does not hold. Should it be the case that if cosmology is a rapidly growing field, then media are ad-driven businesses, it follows that most tigers require water. Whenever it is true that most tigers require water, 'alcoholic cardiomyopathy is a consequence of excessive alcohol use ' is true.
|
It is the case that vomit has hydrochloric acid.
|
Vomit is expulsions.
|
Uncertain
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (If [1], then [2].) or [0].).), then [3]. [SC1-2]
If (Not (Either (If [1], then [2].) or [0].).), then (Not [3].). [SC2-2]
Therefore, Either (If [1], then [2].) or [0]..
[SC1-2]
Modus Ponens:
If [7], then (If (Not (Either (If [1], then [2].) or [0].).), then [3].).
[7]
Therefore, If (Not (Either (If [1], then [2].) or [0].).), then [3]..
[SC2-2]
Hypothetical Syllogism:
If (Not (Either (If [1], then [2].) or [0].).), then [6].
If [6], then (Not [3].).
Therefore, If (Not (Either (If [1], then [2].) or [0].).), then (Not [3].)..
[SC2-1]
Modus Tonens:
If (If [1], then [2].), then [4]. [SC1-2]
Not [4].
Therefore, Not (If [1], then [2].)..
[SC1-2]
Hypothetical Syllogism:
If (If [1], then [2].), then [5].
If [5], then [4].
Therefore, If (If [1], then [2].), then [4]..
|
{0: 'Vomit has hydrochloric acid.', 1: 'Cosmology is a rapidly growing field.', 2: 'Media are ad-driven businesses.', 3: 'Instructors have (part) plasma membranes.', 4: 'Alcoholic cardiomyopathy is a consequence of excessive alcohol use .', 5: 'Most tigers require water.', 6: 'Bureaucracies develop systems that try and work for the greater good for the most people.', 7: 'Estuaries differ from rivers in many regards.'}
| 6 |
5,632 |
['On the condition that if some consumption causes lung inflammation, then some skunks carry viruses, it is definitely the case that minerals are located in earth.', 'The claim that seas have fish, and fish have fins does not reflect reality.', 'We know that either native plants can be important hosts of sweetpotato weevil or if papaya is fruit trees, then minerals are located in earth.', "The notion that 'native plants can be important hosts of sweetpotato weevil' is untrue.", 'Should it be the case that alkalies are soluble salts that are effective in removing dirt without excessive rubbing, it follows that either racism operates similarly in individuals or some countries also require U.S. citizens to obtain visas before entering.', 'Once we know either racism operates similarly in individuals or some countries also require U.S. citizens to obtain visas before entering, we also know that if it is not true that either if some consumption causes lung inflammation, then some skunks carry viruses or papaya is fruit trees, then seas have fish, and fish have fins.', 'Either one or both of these statements are true: kernels have shells, or alkalies are soluble salts that are effective in removing dirt without excessive rubbing.', 'Those that suggest kernels have shells are wrong.']
|
On the condition that if some consumption causes lung inflammation, then some skunks carry viruses, it is definitely the case that minerals are located in earth. The claim that seas have fish, and fish have fins does not reflect reality. We know that either native plants can be important hosts of sweetpotato weevil or if papaya is fruit trees, then minerals are located in earth. The notion that 'native plants can be important hosts of sweetpotato weevil' is untrue. Should it be the case that alkalies are soluble salts that are effective in removing dirt without excessive rubbing, it follows that either racism operates similarly in individuals or some countries also require U.S. citizens to obtain visas before entering. Once we know either racism operates similarly in individuals or some countries also require U.S. citizens to obtain visas before entering, we also know that if it is not true that either if some consumption causes lung inflammation, then some skunks carry viruses or papaya is fruit trees, then seas have fish, and fish have fins. Either one or both of these statements are true: kernels have shells, or alkalies are soluble salts that are effective in removing dirt without excessive rubbing. Those that suggest kernels have shells are wrong.
|
Many people rightly believe that minerals are located in earth.
|
Many people rightly believe that minerals are located in earth.
|
TRUE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3]. [SC1-1]
If (If [1], then [2].), then [0].
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either (If [1], then [2].) or [3].).), then [5]. [SC1-2]
Not [5].
Therefore, Either (If [1], then [2].) or [3]..
[SC1-2]
Modus Ponens:
If [6], then (If (Not (Either (If [1], then [2].) or [3].).), then [5].). [SC1-3]
[6] [SC2-3]
Therefore, If (Not (Either (If [1], then [2].) or [3].).), then [5]..
[SC1-3]
Hypothetical Syllogism:
If [6], then (Either [8] or [9].).
If (Either [8] or [9].), then (If (Not (Either (If [1], then [2].) or [3].).), then [5].).
Therefore, If [6], then (If (Not (Either (If [1], then [2].) or [3].).), then [5].)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or [6].
Not [7].
Therefore, [6].
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If [3], then [0].).
Not [4].
Therefore, If [3], then [0]..
|
{0: 'Minerals are located in earth.', 1: 'Some consumption causes lung inflammation.', 2: 'Some skunks carry viruses.', 3: 'Papaya is fruit trees.', 4: 'Native plants can be important hosts of sweetpotato weevil.', 5: 'Seas have fish, and fish have fins.', 6: 'Alkalies are soluble salts that are effective in removing dirt without excessive rubbing.', 7: 'Kernels have shells.', 8: 'Racism operates similarly in individuals.', 9: 'Some countries also require U.S. citizens to obtain visas before entering.'}
| 6 |
5,460 |
["One may reasonably assume that if the statement that 'either thin skin absorbs gases or stoats live in temperate , subarctic northern areas' is incorrect, then most precipitation falls on basins.", 'Should it be the case that the statement that states if thin skin absorbs gases, then either metropolitan areas are more expansive than cities or some apes enter environments is false, it follows that the claim that tadpoles require warmth is false.', 'At least one of two things is true: some updrafts come from heat surfaces, or potassium plays a number of important roles in the human body also.', 'When some updrafts come from heat surfaces is true, it follows that if stoats live in temperate , subarctic northern areas, then either metropolitan areas are more expansive than cities or some apes enter environments.', 'Should it be the case that potassium plays a number of important roles in the human body also, it follows that if stoats live in temperate , subarctic northern areas, then either metropolitan areas are more expansive than cities or some apes enter environments.', 'On the condition that most precipitation falls on basins, it is definitely the case that some cucumbers thrive in warm weather.', 'When most precipitation falls on basins is true, it follows that we know that the claim that some cucumbers thrive in warm weather is false.', 'Provided that it is not true that if the statement that states if thin skin absorbs gases, then either metropolitan areas are more expansive than cities or some apes enter environments is false, then tadpoles require warmth, we know that most people only have orgasms with actual intercourse or clitoral stimulation.', "Whenever it is true that it is not true that if the statement that states if thin skin absorbs gases, then either metropolitan areas are more expansive than cities or some apes enter environments is false, then tadpoles require warmth, 'we know that the claim that most people only have orgasms with actual intercourse or clitoral stimulation is false' is true."]
|
One may reasonably assume that if the statement that 'either thin skin absorbs gases or stoats live in temperate , subarctic northern areas' is incorrect, then most precipitation falls on basins. Should it be the case that the statement that states if thin skin absorbs gases, then either metropolitan areas are more expansive than cities or some apes enter environments is false, it follows that the claim that tadpoles require warmth is false. At least one of two things is true: some updrafts come from heat surfaces, or potassium plays a number of important roles in the human body also. When some updrafts come from heat surfaces is true, it follows that if stoats live in temperate , subarctic northern areas, then either metropolitan areas are more expansive than cities or some apes enter environments. Should it be the case that potassium plays a number of important roles in the human body also, it follows that if stoats live in temperate , subarctic northern areas, then either metropolitan areas are more expansive than cities or some apes enter environments. On the condition that most precipitation falls on basins, it is definitely the case that some cucumbers thrive in warm weather. When most precipitation falls on basins is true, it follows that we know that the claim that some cucumbers thrive in warm weather is false. Provided that it is not true that if the statement that states if thin skin absorbs gases, then either metropolitan areas are more expansive than cities or some apes enter environments is false, then tadpoles require warmth, we know that most people only have orgasms with actual intercourse or clitoral stimulation. Whenever it is true that it is not true that if the statement that states if thin skin absorbs gases, then either metropolitan areas are more expansive than cities or some apes enter environments is false, then tadpoles require warmth, 'we know that the claim that most people only have orgasms with actual intercourse or clitoral stimulation is false' is true.
|
Either one or both of these statements are true: metropolitan areas are more expansive than cities, or some apes enter environments.
|
At least one of two things is true: metropolitan areas are prone to high levels of ozone, but no region is immune, or apes seek food.
|
Uncertain
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Either [0] or [1].). [SC2-1]
If [3], then (Either [0] or [1].). [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or [3].).), then [4].
Not [4]. [SC2-2]
Therefore, Either [2] or [3]..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [8].
If [4], then (Not [8].).
Therefore, Not [4]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [2], then (Either [0] or [1].).).), then [5]. [SC1-2]
If (Not (If [2], then (Either [0] or [1].).).), then (Not [5].).
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [5].).), then [9].
If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [5].).), then (Not [9].).
Therefore, If (Not (If [2], then (Either [0] or [1].).).), then [5]..
[SC3-1]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [3], then (Either [0] or [1].).).
If [7], then (If [3], then (Either [0] or [1].).).
Therefore, If [3], then (Either [0] or [1].)..
|
{0: 'Metropolitan areas are more expansive than cities.', 1: 'Some apes enter environments.', 2: 'Thin skin absorbs gases.', 3: 'Stoats live in temperate , subarctic northern areas.', 4: 'Most precipitation falls on basins.', 5: 'Tadpoles require warmth.', 6: 'Some updrafts come from heat surfaces.', 7: 'Potassium plays a number of important roles in the human body also.', 8: 'Some cucumbers thrive in warm weather.', 9: 'Most people only have orgasms with actual intercourse or clitoral stimulation.'}
| 6 |
5,022 |
['If either rosy boas are one of the slowest-moving species of snake in the world or sinkholes are depressions, then if the claim that process is defined as a series of actions or operations taken to reach an end does not correspond with reality, then walruses are very big , even compared to big male sea lions .', 'Once we know history is economics in action, we also know that if the claim that process is defined as a series of actions or operations taken to reach an end does not correspond with reality, then walruses are very big , even compared to big male sea lions .', 'Provided that the claim that either either rosy boas are one of the slowest-moving species of snake in the world or sinkholes are depressions or history is economics in action has no merit, we know that farms produce crops.', 'Once we know the claim that either either rosy boas are one of the slowest-moving species of snake in the world or sinkholes are depressions or history is economics in action has no merit, we also know that the claim that farms produce crops does not correspond with reality.', 'It is rational to believe that either some dogs never like having another dog around when they are eating or some dogs eat animals.', 'Should it be the case that some dogs never like having another dog around when they are eating, it follows that either either brutalization is the typical experience of a small child, with warning signs that are obvious or some crickets have nematodes or we know that the claim that walruses are very big , even compared to big male sea lions is false.', 'Provided that some dogs eat animals, we know that either either brutalization is the typical experience of a small child, with warning signs that are obvious or some crickets have nematodes or we know that the claim that walruses are very big , even compared to big male sea lions is false.', 'If either brutalization is the typical experience of a small child, with warning signs that are obvious or some crickets have nematodes, then if freedom of speech are artwork, then a witch is an occultist.', "The notion that 'if freedom of speech are artwork, then a witch is an occultist' is untrue."]
|
If either rosy boas are one of the slowest-moving species of snake in the world or sinkholes are depressions, then if the claim that process is defined as a series of actions or operations taken to reach an end does not correspond with reality, then walruses are very big , even compared to big male sea lions . Once we know history is economics in action, we also know that if the claim that process is defined as a series of actions or operations taken to reach an end does not correspond with reality, then walruses are very big , even compared to big male sea lions . Provided that the claim that either either rosy boas are one of the slowest-moving species of snake in the world or sinkholes are depressions or history is economics in action has no merit, we know that farms produce crops. Once we know the claim that either either rosy boas are one of the slowest-moving species of snake in the world or sinkholes are depressions or history is economics in action has no merit, we also know that the claim that farms produce crops does not correspond with reality. It is rational to believe that either some dogs never like having another dog around when they are eating or some dogs eat animals. Should it be the case that some dogs never like having another dog around when they are eating, it follows that either either brutalization is the typical experience of a small child, with warning signs that are obvious or some crickets have nematodes or we know that the claim that walruses are very big , even compared to big male sea lions is false. Provided that some dogs eat animals, we know that either either brutalization is the typical experience of a small child, with warning signs that are obvious or some crickets have nematodes or we know that the claim that walruses are very big , even compared to big male sea lions is false. If either brutalization is the typical experience of a small child, with warning signs that are obvious or some crickets have nematodes, then if freedom of speech are artwork, then a witch is an occultist. The notion that 'if freedom of speech are artwork, then a witch is an occultist' is untrue.
|
Those that suggest process is defined as a series of actions or operations taken to reach an end are right.
|
Process is how and when things get done.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4]. [SC1-2]
If (Either [2] or [3].), then (If (Not [0].), then [1].).
If [4], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either (Either [2] or [3].) or [4].).), then [7].
If (Not (Either (Either [2] or [3].) or [4].).), then (Not [7].).
Therefore, Either (Either [2] or [3].) or [4]..
[SC2-1]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (Not [1].). [SC1-2]
Not (Either [5] or [6].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [10] or [11].
If [10], then (Either (Either [5] or [6].) or (Not [1].).).
If [11], then (Either (Either [5] or [6].) or (Not [1].).).
Therefore, Either (Either [5] or [6].) or (Not [1].)..
[SC2-2]
Modus Tonens:
If (Either [5] or [6].), then (If [8], then [9].).
Not (If [8], then [9].).
Therefore, Not (Either [5] or [6].)..
|
{0: 'Process is defined as a series of actions or operations taken to reach an end.', 1: 'Walruses are very big , even compared to big male sea lions .', 2: 'Rosy boas are one of the slowest-moving species of snake in the world.', 3: 'Sinkholes are depressions.', 4: 'History is economics in action.', 5: 'Brutalization is the typical experience of a small child, with warning signs that are obvious.', 6: 'Some crickets have nematodes.', 7: 'Farms produce crops.', 8: 'Freedom of speech are artwork.', 9: 'A witch is an occultist.', 10: 'Some dogs never like having another dog around when they are eating.', 11: 'Some dogs eat animals.'}
| 6 |
5,374 |
['It is not the case that nuts are low in saturated fat and high in monounsaturated and polyunsaturated fats.', 'Assuming most scientists publish books, we know that if we know that the claim that idiopathic scoliosis has a strong genetic tendency is false, then nuts are low in saturated fat and high in monounsaturated and polyunsaturated fats.', 'It is fair to say that most water requires for plant growth.', 'Assuming the claim that if ferroelectric materials exhibit a broad range of functional properties, then if we know that the claim that idiopathic scoliosis has a strong genetic tendency is false, then nuts are low in saturated fat and high in monounsaturated and polyunsaturated fats has no merit, we know that deceleration is an occurrence.', 'Should it be the case that the claim that if ferroelectric materials exhibit a broad range of functional properties, then if we know that the claim that idiopathic scoliosis has a strong genetic tendency is false, then nuts are low in saturated fat and high in monounsaturated and polyunsaturated fats has no merit, it follows that the statement, deceleration is an occurrence, does not hold.', 'It is fair to say that herbaceous species vary with forest type.', 'We know that at least one of two things is true: either most meteorologists study atmospheric phenomena or most tamarins eat soft fruit, or if herbaceous species vary with forest type, then if most water requires for plant growth, then either ferroelectric materials exhibit a broad range of functional properties or most scientists publish books.', 'It is not true that either most meteorologists study atmospheric phenomena or most tamarins eat soft fruit.']
|
It is not the case that nuts are low in saturated fat and high in monounsaturated and polyunsaturated fats. Assuming most scientists publish books, we know that if we know that the claim that idiopathic scoliosis has a strong genetic tendency is false, then nuts are low in saturated fat and high in monounsaturated and polyunsaturated fats. It is fair to say that most water requires for plant growth. Assuming the claim that if ferroelectric materials exhibit a broad range of functional properties, then if we know that the claim that idiopathic scoliosis has a strong genetic tendency is false, then nuts are low in saturated fat and high in monounsaturated and polyunsaturated fats has no merit, we know that deceleration is an occurrence. Should it be the case that the claim that if ferroelectric materials exhibit a broad range of functional properties, then if we know that the claim that idiopathic scoliosis has a strong genetic tendency is false, then nuts are low in saturated fat and high in monounsaturated and polyunsaturated fats has no merit, it follows that the statement, deceleration is an occurrence, does not hold. It is fair to say that herbaceous species vary with forest type. We know that at least one of two things is true: either most meteorologists study atmospheric phenomena or most tamarins eat soft fruit, or if herbaceous species vary with forest type, then if most water requires for plant growth, then either ferroelectric materials exhibit a broad range of functional properties or most scientists publish books. It is not true that either most meteorologists study atmospheric phenomena or most tamarins eat soft fruit.
|
It is reasonable to believe that idiopathic scoliosis has a strong genetic tendency.
|
Idiopathic scoliosis is seen in adolescents.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then [1].). [SC2-2]
If [3], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [4], then (Either [2] or [3].). [SC1-3]
[4]
Therefore, Either [2] or [3]..
[SC1-3]
Modus Ponens:
If [6], then (If [4], then (Either [2] or [3].).). [SC1-4]
[6]
Therefore, If [4], then (Either [2] or [3].)..
[SC1-4]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (If [6], then (If [4], then (Either [2] or [3].).).).
Not (Either [7] or [8].).
Therefore, If [6], then (If [4], then (Either [2] or [3].).)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then (If (Not [0].), then [1].).).), then [5].
If (Not (If [2], then (If (Not [0].), then [1].).).), then (Not [5].).
Therefore, If [2], then (If (Not [0].), then [1].)..
|
{0: 'Idiopathic scoliosis has a strong genetic tendency.', 1: 'Nuts are low in saturated fat and high in monounsaturated and polyunsaturated fats.', 2: 'Ferroelectric materials exhibit a broad range of functional properties.', 3: 'Most scientists publish books.', 4: 'Most water requires for plant growth.', 5: 'Deceleration is an occurrence.', 6: 'Herbaceous species vary with forest type.', 7: 'Most meteorologists study atmospheric phenomena.', 8: 'Most tamarins eat soft fruit.'}
| 6 |
5,546 |
["The statement, if carbon dioxide builds up in the Earth's atmosphere, causing temperatures to rise, then most fathers have fingers, does not hold.", 'We know that either some bark is part of cedar or segmental duplications are fixtures of the genome in humans and other organisms.', 'One may reasonably assume that if segmental duplications are fixtures of the genome in humans and other organisms, then we know that the claim that peanuts can reduce colon cancer especially in women is false.', 'Either one or both of these statements are true: francois langurs are born with orange fur, or mosquitoes require water.', "So long as francois langurs are born with orange fur, 'if some people mistakenly believe that if most amphibians have poison glands, then peanuts can reduce colon cancer especially in women, then if carbon dioxide builds up in the Earth's atmosphere, causing temperatures to rise, then most fathers have fingers' is true.", 'Either high drive is fundamental to maintaining sustained high energy in the dog while working sheep or if some bark is part of cedar, then we know that the claim that peanuts can reduce colon cancer especially in women is false.', 'It is a common misconception that high drive is fundamental to maintaining sustained high energy in the dog while working sheep.', 'We know that at least one of two things is true: all humans are social animals who depend on each other for their mutual survival and their identity, or either oryxes have (part) breasts or taxis have (part) automobile trunks.', "On the condition that all humans are social animals who depend on each other for their mutual survival and their identity, it is definitely the case that if mosquitoes require water, then if some people mistakenly believe that if most amphibians have poison glands, then peanuts can reduce colon cancer especially in women, then if carbon dioxide builds up in the Earth's atmosphere, causing temperatures to rise, then most fathers have fingers.", "Whenever it is true that either oryxes have (part) breasts or taxis have (part) automobile trunks, 'if mosquitoes require water, then if some people mistakenly believe that if most amphibians have poison glands, then peanuts can reduce colon cancer especially in women, then if carbon dioxide builds up in the Earth's atmosphere, causing temperatures to rise, then most fathers have fingers' is true."]
|
The statement, if carbon dioxide builds up in the Earth's atmosphere, causing temperatures to rise, then most fathers have fingers, does not hold. We know that either some bark is part of cedar or segmental duplications are fixtures of the genome in humans and other organisms. One may reasonably assume that if segmental duplications are fixtures of the genome in humans and other organisms, then we know that the claim that peanuts can reduce colon cancer especially in women is false. Either one or both of these statements are true: francois langurs are born with orange fur, or mosquitoes require water. So long as francois langurs are born with orange fur, 'if some people mistakenly believe that if most amphibians have poison glands, then peanuts can reduce colon cancer especially in women, then if carbon dioxide builds up in the Earth's atmosphere, causing temperatures to rise, then most fathers have fingers' is true. Either high drive is fundamental to maintaining sustained high energy in the dog while working sheep or if some bark is part of cedar, then we know that the claim that peanuts can reduce colon cancer especially in women is false. It is a common misconception that high drive is fundamental to maintaining sustained high energy in the dog while working sheep. We know that at least one of two things is true: all humans are social animals who depend on each other for their mutual survival and their identity, or either oryxes have (part) breasts or taxis have (part) automobile trunks. On the condition that all humans are social animals who depend on each other for their mutual survival and their identity, it is definitely the case that if mosquitoes require water, then if some people mistakenly believe that if most amphibians have poison glands, then peanuts can reduce colon cancer especially in women, then if carbon dioxide builds up in the Earth's atmosphere, causing temperatures to rise, then most fathers have fingers. Whenever it is true that either oryxes have (part) breasts or taxis have (part) automobile trunks, 'if mosquitoes require water, then if some people mistakenly believe that if most amphibians have poison glands, then peanuts can reduce colon cancer especially in women, then if carbon dioxide builds up in the Earth's atmosphere, causing temperatures to rise, then most fathers have fingers' is true.
|
Those that suggest most amphibians have poison glands are wrong.
|
Most amphibians have poison glands.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then (If [4], then [5].). [SC1-2]
Not (If [4], then [5].).
Therefore, If [0], then [1]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If [0], then [1].).), then (If [4], then [5].).).
If [7], then (If (Not (If [0], then [1].).), then (If [4], then [5].).). [SC3-3]
Therefore, If (Not (If [0], then [1].).), then (If [4], then [5].)..
[SC3-3]
Disjunction Elimination:
Either [9] or (Either [10] or [11].).
If [9], then (If [7], then (If (Not (If [0], then [1].).), then (If [4], then [5].).).).
If (Either [10] or [11].), then (If [7], then (If (Not (If [0], then [1].).), then (If [4], then [5].).).).
Therefore, If [7], then (If (Not (If [0], then [1].).), then (If [4], then [5].).)..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].).
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (If [2], then (Not [1].).).
Not [8].
Therefore, If [2], then (Not [1].)..
|
{0: 'Most amphibians have poison glands.', 1: 'Peanuts can reduce colon cancer especially in women.', 2: 'Some bark is part of cedar.', 3: 'Segmental duplications are fixtures of the genome in humans and other organisms.', 4: "Carbon dioxide builds up in the Earth's atmosphere, causing temperatures to rise.", 5: 'Most fathers have fingers.', 6: 'Francois langurs are born with orange fur.', 7: 'Mosquitoes require water.', 8: 'High drive is fundamental to maintaining sustained high energy in the dog while working sheep.', 9: 'All humans are social animals who depend on each other for their mutual survival and their identity.', 10: 'Oryxes have (part) breasts.', 11: 'Taxis have (part) automobile trunks.'}
| 6 |
5,439 |
["So long as the claim that if children hypothesize as to the size of dinosaurs, then family history is more than birth, marriage and death dates does not correspond with reality, 'either most bacteria grow in tracts or bureaus are used for drawers' is true.", 'Given that family history is more than birth, marriage and death dates, it can be inferred that exotic cats keep as pets.', 'Given that family history is more than birth, marriage and death dates, it can be inferred that we know that the claim that exotic cats keep as pets is false.', "Whenever it is true that either most bacteria grow in tracts or bureaus are used for drawers, 'the notion that 'theophyllines are a second important class of bronchodilators used in the treatment of asthma' is untrue' is true.", 'The claim that some reaction creates gases has no merit.', 'We know that either cantaloupes are round, with netted beige skin and juicy orange meat or either some reaction creates gases or if either most bacteria grow in tracts or bureaus are used for drawers, then theophyllines are a second important class of bronchodilators used in the treatment of asthma.', 'It is not true that cantaloupes are round, with netted beige skin and juicy orange meat.']
|
So long as the claim that if children hypothesize as to the size of dinosaurs, then family history is more than birth, marriage and death dates does not correspond with reality, 'either most bacteria grow in tracts or bureaus are used for drawers' is true. Given that family history is more than birth, marriage and death dates, it can be inferred that exotic cats keep as pets. Given that family history is more than birth, marriage and death dates, it can be inferred that we know that the claim that exotic cats keep as pets is false. Whenever it is true that either most bacteria grow in tracts or bureaus are used for drawers, 'the notion that 'theophyllines are a second important class of bronchodilators used in the treatment of asthma' is untrue' is true. The claim that some reaction creates gases has no merit. We know that either cantaloupes are round, with netted beige skin and juicy orange meat or either some reaction creates gases or if either most bacteria grow in tracts or bureaus are used for drawers, then theophyllines are a second important class of bronchodilators used in the treatment of asthma. It is not true that cantaloupes are round, with netted beige skin and juicy orange meat.
|
The claim that children hypothesize as to the size of dinosaurs does not reflect reality.
|
The claim that children have severe problems does not correspond with reality.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then (Either [3] or [4].).
Not (Either [3] or [4].). [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Either [3] or [4].), then [5]. [SC1-3]
If (Either [3] or [4].), then (Not [5].).
Therefore, Not (Either [3] or [4].)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If (Either [3] or [4].), then [5].). [SC1-4]
Not [6].
Therefore, If (Either [3] or [4].), then [5]..
[SC1-4]
Disjunctive Syllogism:
Either [7] or (Either [6] or (If (Either [3] or [4].), then [5].).).
Not [7].
Therefore, Either [6] or (If (Either [3] or [4].), then [5].)..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2].
If [1], then (Not [2].).
Therefore, Not [1]..
|
{0: 'Children hypothesize as to the size of dinosaurs.', 1: 'Family history is more than birth, marriage and death dates.', 2: 'Exotic cats keep as pets.', 3: 'Most bacteria grow in tracts.', 4: 'Bureaus are used for drawers.', 5: 'Theophyllines are a second important class of bronchodilators used in the treatment of asthma.', 6: 'Some reaction creates gases.', 7: 'Cantaloupes are round, with netted beige skin and juicy orange meat.'}
| 6 |
5,218 |
['It is a fact that either capitalists are self-interested or either some fish scales are part of goldfishes or proper nutrition plays critical roles.', 'One may reasonably assume that if capitalists are self-interested, then some thoraxes are part of fleas.', 'It is not the case that unexpected discoveries can lead to breakthroughs in our understanding of the laws of nature.', 'Once we know iron oxidizing organisms are also present in some near-neutral pH solutions, we also know that if the statement that states if either some fish scales are part of goldfishes or proper nutrition plays critical roles, then some thoraxes are part of fleas is false, then people perceive their health within their own context and environment.', 'The claim that iron oxidizing organisms are also present in some near-neutral pH solutions holds true.', 'Once we know the claim that if people perceive their health within their own context and environment, then unexpected discoveries can lead to breakthroughs in our understanding of the laws of nature does not correspond with reality, we also know that plastic bags start out as either oil or natural gas.', 'If either duplicates are copies or caribou is animals, then if the claim that if people perceive their health within their own context and environment, then unexpected discoveries can lead to breakthroughs in our understanding of the laws of nature does not correspond with reality, then it is not the case that plastic bags start out as either oil or natural gas.', 'It is a fact that either duplicates are copies or caribou is animals.']
|
It is a fact that either capitalists are self-interested or either some fish scales are part of goldfishes or proper nutrition plays critical roles. One may reasonably assume that if capitalists are self-interested, then some thoraxes are part of fleas. It is not the case that unexpected discoveries can lead to breakthroughs in our understanding of the laws of nature. Once we know iron oxidizing organisms are also present in some near-neutral pH solutions, we also know that if the statement that states if either some fish scales are part of goldfishes or proper nutrition plays critical roles, then some thoraxes are part of fleas is false, then people perceive their health within their own context and environment. The claim that iron oxidizing organisms are also present in some near-neutral pH solutions holds true. Once we know the claim that if people perceive their health within their own context and environment, then unexpected discoveries can lead to breakthroughs in our understanding of the laws of nature does not correspond with reality, we also know that plastic bags start out as either oil or natural gas. If either duplicates are copies or caribou is animals, then if the claim that if people perceive their health within their own context and environment, then unexpected discoveries can lead to breakthroughs in our understanding of the laws of nature does not correspond with reality, then it is not the case that plastic bags start out as either oil or natural gas. It is a fact that either duplicates are copies or caribou is animals.
|
It is fair to say that some thoraxes are part of fleas.
|
It is fair to say that some thoraxes are part of fleas.
|
TRUE
|
Disjunction Elimination:
Either [1] or (Either [2] or [3].).
If [1], then [0].
If (Either [2] or [3].), then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Modus Tonens:
If (Not (If (Either [2] or [3].), then [0].).), then [4]. [SC1-2]
Not [4].
Therefore, If (Either [2] or [3].), then [0]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Either [2] or [3].), then [0].).), then [5]. [SC1-3]
If [5], then [4]. [SC2-3]
Therefore, If (Not (If (Either [2] or [3].), then [0].).), then [4]..
[SC1-3]
Modus Ponens:
If [6], then (If (Not (If (Either [2] or [3].), then [0].).), then [5].).
[6]
Therefore, If (Not (If (Either [2] or [3].), then [0].).), then [5]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [5], then [4].).), then [7].
If (Not (If [5], then [4].).), then (Not [7].). [SC2-4]
Therefore, If [5], then [4]..
[SC2-4]
Modus Ponens:
If (Either [8] or [9].), then (If (Not (If [5], then [4].).), then (Not [7].).).
Either [8] or [9].
Therefore, If (Not (If [5], then [4].).), then (Not [7].)..
|
{0: 'Some thoraxes are part of fleas.', 1: 'Capitalists are self-interested.', 2: 'Some fish scales are part of goldfishes.', 3: 'Proper nutrition plays critical roles.', 4: 'Unexpected discoveries can lead to breakthroughs in our understanding of the laws of nature.', 5: 'People perceive their health within their own context and environment.', 6: 'Iron oxidizing organisms are also present in some near-neutral pH solutions.', 7: 'Plastic bags start out as either oil or natural gas.', 8: 'Duplicates are copies.', 9: 'Caribou is animals.'}
| 6 |
5,737 |
['Either if tomography is the technique of studying hidden structures with a sequence of cross-sectional images, then plant foods are the major dietary sources of selenium in most countries throughout the world or either livestock are the culprits of overgrazing soil compaction or the claim that most sloths have upper teeth has no merit.', "Given that most falcons have ability, it can be inferred that the notion that 'livestock are the culprits of overgrazing soil compaction' is untrue.", "When if meerkats forage for food, then some ovary walls become layers is true, it follows that the statement 'if tomography is the technique of studying hidden structures with a sequence of cross-sectional images, then plant foods are the major dietary sources of selenium in most countries throughout the world' can be considered false.", "So long as meerkats forage for food, 'some ovary walls become layers' is true.", "Assuming the notion that 'either most falcons have ability or some clouds form at boundaries' is untrue, we know that marigolds require full sun and grow best in well-drained soil with plenty of organic matter.", "Given that the notion that 'either most falcons have ability or some clouds form at boundaries' is untrue, it can be inferred that the claim that marigolds require full sun and grow best in well-drained soil with plenty of organic matter does not correspond with reality.", "One may reasonably assume that if the statement that 'if some clouds form at boundaries, then the notion that 'livestock are the culprits of overgrazing soil compaction' is untrue' is incorrect, then carnivorous fish find in oceans.", 'It is not the case that carnivorous fish find in oceans.']
|
Either if tomography is the technique of studying hidden structures with a sequence of cross-sectional images, then plant foods are the major dietary sources of selenium in most countries throughout the world or either livestock are the culprits of overgrazing soil compaction or the claim that most sloths have upper teeth has no merit. Given that most falcons have ability, it can be inferred that the notion that 'livestock are the culprits of overgrazing soil compaction' is untrue. When if meerkats forage for food, then some ovary walls become layers is true, it follows that the statement 'if tomography is the technique of studying hidden structures with a sequence of cross-sectional images, then plant foods are the major dietary sources of selenium in most countries throughout the world' can be considered false. So long as meerkats forage for food, 'some ovary walls become layers' is true. Assuming the notion that 'either most falcons have ability or some clouds form at boundaries' is untrue, we know that marigolds require full sun and grow best in well-drained soil with plenty of organic matter. Given that the notion that 'either most falcons have ability or some clouds form at boundaries' is untrue, it can be inferred that the claim that marigolds require full sun and grow best in well-drained soil with plenty of organic matter does not correspond with reality. One may reasonably assume that if the statement that 'if some clouds form at boundaries, then the notion that 'livestock are the culprits of overgrazing soil compaction' is untrue' is incorrect, then carnivorous fish find in oceans. It is not the case that carnivorous fish find in oceans.
|
The claim that most sloths have upper teeth has no merit.
|
It is true that most sloths have upper teeth.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (Either [1] or (Not [0].).).
Not (If [2], then [3].). [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Modus Ponens:
If (If [6], then [7].), then (Not (If [2], then [3].).).
If [6], then [7].
Therefore, Not (If [2], then [3].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (Not [1].).
If [5], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then [8].
If (Not (Either [4] or [5].).), then (Not [8].).
Therefore, Either [4] or [5]..
[SC3-2]
Modus Tonens:
If (Not (If [5], then (Not [1].).).), then [9].
Not [9].
Therefore, If [5], then (Not [1].)..
|
{0: 'Most sloths have upper teeth.', 1: 'Livestock are the culprits of overgrazing soil compaction.', 2: 'Tomography is the technique of studying hidden structures with a sequence of cross-sectional images.', 3: 'Plant foods are the major dietary sources of selenium in most countries throughout the world.', 4: 'Most falcons have ability.', 5: 'Some clouds form at boundaries.', 6: 'Meerkats forage for food.', 7: 'Some ovary walls become layers.', 8: 'Marigolds require full sun and grow best in well-drained soil with plenty of organic matter.', 9: 'Carnivorous fish find in oceans.'}
| 6 |
5,505 |
['Those that suggest climatic conditions favor year round vegetable crop production are wrong.', "Whenever it is true that the statement 'if it is a common misconception that either either cholera is a disease long associated with the Ganges Delta in India or turnover is the measure of the amount of active trading in a portfolio or gender gaps persist in and around the world of work, then climatic conditions favor year round vegetable crop production' can be considered false, 'women generally acquire irritable bowel syndrome as the result of a psychological disorder' is true.", 'We know that the claim that women generally acquire irritable bowel syndrome as the result of a psychological disorder is false.', 'Once we know nonnutritive sweeteners are safe to use, we also know that sect is religion.', 'Provided that sect is religion, we know that the statement, either cholera is a disease long associated with the Ganges Delta in India or turnover is the measure of the amount of active trading in a portfolio, does not hold.', 'It is a fact that either if some starlings play in trees, then an ocular muscle is a muscle or nonnutritive sweeteners are safe to use.', 'The claim that if some starlings play in trees, then an ocular muscle is a muscle does not reflect reality.']
|
Those that suggest climatic conditions favor year round vegetable crop production are wrong. Whenever it is true that the statement 'if it is a common misconception that either either cholera is a disease long associated with the Ganges Delta in India or turnover is the measure of the amount of active trading in a portfolio or gender gaps persist in and around the world of work, then climatic conditions favor year round vegetable crop production' can be considered false, 'women generally acquire irritable bowel syndrome as the result of a psychological disorder' is true. We know that the claim that women generally acquire irritable bowel syndrome as the result of a psychological disorder is false. Once we know nonnutritive sweeteners are safe to use, we also know that sect is religion. Provided that sect is religion, we know that the statement, either cholera is a disease long associated with the Ganges Delta in India or turnover is the measure of the amount of active trading in a portfolio, does not hold. It is a fact that either if some starlings play in trees, then an ocular muscle is a muscle or nonnutritive sweeteners are safe to use. The claim that if some starlings play in trees, then an ocular muscle is a muscle does not reflect reality.
|
We can assume that gender gaps persist in and around the world of work.
|
Gender gap persists both in terms of enrollment and in terms of attainment of schooling.
|
Uncertain
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0]. [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either (Either [1] or [2].) or [0].).), then [3]. [SC1-2]
Not [3].
Therefore, Either (Either [1] or [2].) or [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (Either (Either [1] or [2].) or [0].).), then [3].).), then [7].
Not [7].
Therefore, If (Not (Either (Either [1] or [2].) or [0].).), then [3]..
[SC2-1]
Modus Ponens:
If [4], then (Not (Either [1] or [2].).). [SC1-2]
[4] [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Hypothetical Syllogism:
If [4], then [8].
If [8], then (Not (Either [1] or [2].).).
Therefore, If [4], then (Not (Either [1] or [2].).)..
[SC2-2]
Disjunctive Syllogism:
Either (If [5], then [6].) or [4].
Not (If [5], then [6].).
Therefore, [4].
|
{0: 'Gender gaps persist in and around the world of work.', 1: 'Cholera is a disease long associated with the Ganges Delta in India.', 2: 'Turnover is the measure of the amount of active trading in a portfolio.', 3: 'Climatic conditions favor year round vegetable crop production.', 4: 'Nonnutritive sweeteners are safe to use.', 5: 'Some starlings play in trees.', 6: 'An ocular muscle is a muscle.', 7: 'Women generally acquire irritable bowel syndrome as the result of a psychological disorder.', 8: 'Sect is religion.'}
| 6 |
5,605 |
['Should it be the case that transdermal nicotine enhances smoking cessation in coronary artery disease patients, it follows that either most grapefruit grows in areas or food sharing appears to require social bonds that require development over long periods of time.', 'Those that suggest transdermal nicotine enhances smoking cessation in coronary artery disease patients are right.', 'Either one or both of these statements are true: smoke detectors are critical to surviving a night time fire, or triggerfish have color patterns.', 'On the condition that triggerfish have color patterns, it is definitely the case that if most grapefruit grows in areas, then either key pairs are pairs of numbers that have a complex mathematical linkage or personal property is governed by principles derived from English common law.', 'It is rational to believe that either either flu can be especially dangerous to the elderly or aroma is that fragrance expressed by coffee when freshly brewed or if food sharing appears to require social bonds that require development over long periods of time, then either key pairs are pairs of numbers that have a complex mathematical linkage or personal property is governed by principles derived from English common law.', 'The statement that states either flu can be especially dangerous to the elderly or aroma is that fragrance expressed by coffee when freshly brewed is false.', "Whenever it is true that neutrality occurs when members are indifferent, 'if smoke detectors are critical to surviving a night time fire, then if most grapefruit grows in areas, then either key pairs are pairs of numbers that have a complex mathematical linkage or personal property is governed by principles derived from English common law' is true.", 'Should it be the case that some carapaces are part of millepedes, it follows that if smoke detectors are critical to surviving a night time fire, then if most grapefruit grows in areas, then either key pairs are pairs of numbers that have a complex mathematical linkage or personal property is governed by principles derived from English common law.', 'Either cannibalism is common, but squids also feed on small free-swimming crustaceans and fishes or red foxes have few natural predators.', 'If cannibalism is common, but squids also feed on small free-swimming crustaceans and fishes, then either neutrality occurs when members are indifferent or some carapaces are part of millepedes.', 'Provided that red foxes have few natural predators, we know that either neutrality occurs when members are indifferent or some carapaces are part of millepedes.']
|
Should it be the case that transdermal nicotine enhances smoking cessation in coronary artery disease patients, it follows that either most grapefruit grows in areas or food sharing appears to require social bonds that require development over long periods of time. Those that suggest transdermal nicotine enhances smoking cessation in coronary artery disease patients are right. Either one or both of these statements are true: smoke detectors are critical to surviving a night time fire, or triggerfish have color patterns. On the condition that triggerfish have color patterns, it is definitely the case that if most grapefruit grows in areas, then either key pairs are pairs of numbers that have a complex mathematical linkage or personal property is governed by principles derived from English common law. It is rational to believe that either either flu can be especially dangerous to the elderly or aroma is that fragrance expressed by coffee when freshly brewed or if food sharing appears to require social bonds that require development over long periods of time, then either key pairs are pairs of numbers that have a complex mathematical linkage or personal property is governed by principles derived from English common law. The statement that states either flu can be especially dangerous to the elderly or aroma is that fragrance expressed by coffee when freshly brewed is false. Whenever it is true that neutrality occurs when members are indifferent, 'if smoke detectors are critical to surviving a night time fire, then if most grapefruit grows in areas, then either key pairs are pairs of numbers that have a complex mathematical linkage or personal property is governed by principles derived from English common law' is true. Should it be the case that some carapaces are part of millepedes, it follows that if smoke detectors are critical to surviving a night time fire, then if most grapefruit grows in areas, then either key pairs are pairs of numbers that have a complex mathematical linkage or personal property is governed by principles derived from English common law. Either cannibalism is common, but squids also feed on small free-swimming crustaceans and fishes or red foxes have few natural predators. If cannibalism is common, but squids also feed on small free-swimming crustaceans and fishes, then either neutrality occurs when members are indifferent or some carapaces are part of millepedes. Provided that red foxes have few natural predators, we know that either neutrality occurs when members are indifferent or some carapaces are part of millepedes.
|
It is rational to believe that either key pairs are pairs of numbers that have a complex mathematical linkage or personal property is governed by principles derived from English common law.
|
It is rational to believe that either key pairs are pairs of numbers that have a complex mathematical linkage or personal property is governed by principles derived from English common law.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Either [0] or [1].). [SC2-1]
If [3], then (Either [0] or [1].). [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [6], then (Either [2] or [3].).
[6]
Therefore, Either [2] or [3]..
[SC2-1]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [2], then (Either [0] or [1].).). [SC2-2]
If [8], then (If [2], then (Either [0] or [1].).).
Therefore, If [2], then (Either [0] or [1].)..
[SC2-2]
Disjunction Elimination:
Either [9] or [10]. [SC1-3]
If [9], then (If [7], then (If [2], then (Either [0] or [1].).).).
If [10], then (If [7], then (If [2], then (Either [0] or [1].).).).
Therefore, If [7], then (If [2], then (Either [0] or [1].).)..
[SC1-3]
Disjunction Elimination:
Either [11] or [12].
If [11], then (Either [9] or [10].).
If [12], then (Either [9] or [10].).
Therefore, Either [9] or [10]..
[SC3-1]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (If [3], then (Either [0] or [1].).).
Not (Either [4] or [5].).
Therefore, If [3], then (Either [0] or [1].)..
|
{0: 'Key pairs are pairs of numbers that have a complex mathematical linkage.', 1: 'Personal property is governed by principles derived from English common law.', 2: 'Most grapefruit grows in areas.', 3: 'Food sharing appears to require social bonds that require development over long periods of time.', 4: 'Flu can be especially dangerous to the elderly.', 5: 'Aroma is that fragrance expressed by coffee when freshly brewed.', 6: 'Transdermal nicotine enhances smoking cessation in coronary artery disease patients.', 7: 'Smoke detectors are critical to surviving a night time fire.', 8: 'Triggerfish have color patterns.', 9: 'Neutrality occurs when members are indifferent.', 10: 'Some carapaces are part of millepedes.', 11: 'Cannibalism is common, but squids also feed on small free-swimming crustaceans and fishes.', 12: 'Red foxes have few natural predators.'}
| 6 |
5,801 |
["On the condition that the statement that 'free trade is trade carried on in the absence of any barriers' is incorrect, it is definitely the case that people have (part) personality.", 'Either one or both of these statements are true: radical theorists take an active interest in other ways of knowing, or either frogs prefer climates or silk is special in many ways.', 'One may reasonably assume that if radical theorists take an active interest in other ways of knowing, then if people have (part) personality, then panda bears are located in zoos.', 'One may reasonably assume that if violence is serious because it can result in death, then the statement, panda bears are located in zoos, does not hold.', 'Many people rightly believe that violence is serious because it can result in death.', 'When bacteria are often responsible for food spoilage but there are also many useful types is true, it follows that if people have (part) personality, then panda bears are located in zoos.', 'We know that at least one of two things is true: ammonia is the most common odor produced in a rabbit facility, or if either frogs prefer climates or silk is special in many ways, then bacteria are often responsible for food spoilage but there are also many useful types.', 'The statement that states ammonia is the most common odor produced in a rabbit facility is false.']
|
On the condition that the statement that 'free trade is trade carried on in the absence of any barriers' is incorrect, it is definitely the case that people have (part) personality. Either one or both of these statements are true: radical theorists take an active interest in other ways of knowing, or either frogs prefer climates or silk is special in many ways. One may reasonably assume that if radical theorists take an active interest in other ways of knowing, then if people have (part) personality, then panda bears are located in zoos. One may reasonably assume that if violence is serious because it can result in death, then the statement, panda bears are located in zoos, does not hold. Many people rightly believe that violence is serious because it can result in death. When bacteria are often responsible for food spoilage but there are also many useful types is true, it follows that if people have (part) personality, then panda bears are located in zoos. We know that at least one of two things is true: ammonia is the most common odor produced in a rabbit facility, or if either frogs prefer climates or silk is special in many ways, then bacteria are often responsible for food spoilage but there are also many useful types. The statement that states ammonia is the most common odor produced in a rabbit facility is false.
|
It is a simple truth that free trade is trade carried on in the absence of any barriers.
|
The claim that free trade is trade carried on in the absence of any barriers does not reflect reality.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (If [1], then [2].).
If (Either [5] or [6].), then (If [1], then [2].). [SC3-3]
Therefore, If [1], then [2]..
[SC3-3]
Hypothetical Syllogism:
If (Either [5] or [6].), then [7]. [SC1-4]
If [7], then (If [1], then [2].).
Therefore, If (Either [5] or [6].), then (If [1], then [2].)..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (If (Either [5] or [6].), then [7].).
Not [8].
Therefore, If (Either [5] or [6].), then [7]..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].).
[3]
Therefore, Not [2]..
|
{0: 'Free trade is trade carried on in the absence of any barriers.', 1: 'People have (part) personality.', 2: 'Panda bears are located in zoos.', 3: 'Violence is serious because it can result in death.', 4: 'Radical theorists take an active interest in other ways of knowing.', 5: 'Frogs prefer climates.', 6: 'Silk is special in many ways.', 7: 'Bacteria are often responsible for food spoilage but there are also many useful types.', 8: 'Ammonia is the most common odor produced in a rabbit facility.'}
| 6 |
5,948 |
['Some people mistakenly believe that most oviparous animals have different requirements.', 'Once we know capital is one of the three main factors of production, the others being land and labor, we also know that either most oviparous animals have different requirements or the statement, steroids speed their disappearance, does not hold.', 'Once we know size represents the number of cells along one dimension, we also know that either most oviparous animals have different requirements or the statement, steroids speed their disappearance, does not hold.', 'At least one of two things is true: most male orangutans have teeth, or either pesticides can help to attain sustainable development of the blueberry industry or most ferns growing along swift streams are edible.', 'Provided that either pesticides can help to attain sustainable development of the blueberry industry or most ferns growing along swift streams are edible, we know that size represents the number of cells along one dimension.', 'At least one of two things is true: animals are necessary to medical research when it is impractical or unethical to use humans, or either troopers enforce rules or if most male orangutans have teeth, then capital is one of the three main factors of production, the others being land and labor.', 'The claim that animals are necessary to medical research when it is impractical or unethical to use humans does not correspond with reality.', 'We know that either foxes serve as great rodent control or severe obesity is a long term condition that is very difficult to treat.', 'Given that foxes serve as great rodent control, it can be inferred that the statement, troopers enforce rules, does not hold.', 'Should it be the case that severe obesity is a long term condition that is very difficult to treat, it follows that the statement, troopers enforce rules, does not hold.']
|
Some people mistakenly believe that most oviparous animals have different requirements. Once we know capital is one of the three main factors of production, the others being land and labor, we also know that either most oviparous animals have different requirements or the statement, steroids speed their disappearance, does not hold. Once we know size represents the number of cells along one dimension, we also know that either most oviparous animals have different requirements or the statement, steroids speed their disappearance, does not hold. At least one of two things is true: most male orangutans have teeth, or either pesticides can help to attain sustainable development of the blueberry industry or most ferns growing along swift streams are edible. Provided that either pesticides can help to attain sustainable development of the blueberry industry or most ferns growing along swift streams are edible, we know that size represents the number of cells along one dimension. At least one of two things is true: animals are necessary to medical research when it is impractical or unethical to use humans, or either troopers enforce rules or if most male orangutans have teeth, then capital is one of the three main factors of production, the others being land and labor. The claim that animals are necessary to medical research when it is impractical or unethical to use humans does not correspond with reality. We know that either foxes serve as great rodent control or severe obesity is a long term condition that is very difficult to treat. Given that foxes serve as great rodent control, it can be inferred that the statement, troopers enforce rules, does not hold. Should it be the case that severe obesity is a long term condition that is very difficult to treat, it follows that the statement, troopers enforce rules, does not hold.
|
The statement, steroids speed their disappearance, does not hold.
|
The statement, steroids speed their disappearance, does not hold.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Either [1] or (Not [0].).).
If [3], then (Either [1] or (Not [0].).).
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Constructive Dilemma:
Either [4] or (Either [5] or [6].).
If [4], then [2]. [SC2-3]
If (Either [5] or [6].), then [3].
Therefore, Either [2] or [3]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If [4], then [2].). [SC1-4]
Not [7]. [SC2-4]
Therefore, If [4], then [2]..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (Either [7] or (If [4], then [2].).).
Not [8].
Therefore, Either [7] or (If [4], then [2].)..
[SC2-4]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not [7].).
If [10], then (Not [7].).
Therefore, Not [7]..
|
{0: 'Steroids speed their disappearance.', 1: 'Most oviparous animals have different requirements.', 2: 'Capital is one of the three main factors of production, the others being land and labor.', 3: 'Size represents the number of cells along one dimension.', 4: 'Most male orangutans have teeth.', 5: 'Pesticides can help to attain sustainable development of the blueberry industry.', 6: 'Most ferns growing along swift streams are edible.', 7: 'Troopers enforce rules.', 8: 'Animals are necessary to medical research when it is impractical or unethical to use humans.', 9: 'Foxes serve as great rodent control.', 10: 'Severe obesity is a long term condition that is very difficult to treat.'}
| 6 |
5,683 |
['It is a fact that either if many people use food as a tranquilizer, then bluebells enjoy rich, well-drained soils where they can form large colonies over time or lions are a major symbol of wild Africa.', 'There is good reason to believe that either either natural insulin is produced in the pancreas or some male koalas have patches or either most blue whales have years or many women give birth with little or no warning.', "Once we know the statement 'if most blue whales have years, then it is a common misconception that if many people use food as a tranquilizer, then bluebells enjoy rich, well-drained soils where they can form large colonies over time' can be considered false, we also know that if broad hoofs act like snowshoes, then clays are perhaps the oldest materials from which humans have manufactured various artifacts.", "When the statement 'if most blue whales have years, then it is a common misconception that if many people use food as a tranquilizer, then bluebells enjoy rich, well-drained soils where they can form large colonies over time' can be considered false is true, it follows that the claim that if broad hoofs act like snowshoes, then clays are perhaps the oldest materials from which humans have manufactured various artifacts does not reflect reality.", 'If many women give birth with little or no warning, then private schools require school uniforms, which vary from school to school.', 'If private schools require school uniforms, which vary from school to school, then it is a common misconception that if many people use food as a tranquilizer, then bluebells enjoy rich, well-drained soils where they can form large colonies over time.', 'Either one or both of these statements are true: honey badgers get honey, or the claim that either natural insulin is produced in the pancreas or some male koalas have patches does not reflect reality.', "The statement 'honey badgers get honey' can be considered false."]
|
It is a fact that either if many people use food as a tranquilizer, then bluebells enjoy rich, well-drained soils where they can form large colonies over time or lions are a major symbol of wild Africa. There is good reason to believe that either either natural insulin is produced in the pancreas or some male koalas have patches or either most blue whales have years or many women give birth with little or no warning. Once we know the statement 'if most blue whales have years, then it is a common misconception that if many people use food as a tranquilizer, then bluebells enjoy rich, well-drained soils where they can form large colonies over time' can be considered false, we also know that if broad hoofs act like snowshoes, then clays are perhaps the oldest materials from which humans have manufactured various artifacts. When the statement 'if most blue whales have years, then it is a common misconception that if many people use food as a tranquilizer, then bluebells enjoy rich, well-drained soils where they can form large colonies over time' can be considered false is true, it follows that the claim that if broad hoofs act like snowshoes, then clays are perhaps the oldest materials from which humans have manufactured various artifacts does not reflect reality. If many women give birth with little or no warning, then private schools require school uniforms, which vary from school to school. If private schools require school uniforms, which vary from school to school, then it is a common misconception that if many people use food as a tranquilizer, then bluebells enjoy rich, well-drained soils where they can form large colonies over time. Either one or both of these statements are true: honey badgers get honey, or the claim that either natural insulin is produced in the pancreas or some male koalas have patches does not reflect reality. The statement 'honey badgers get honey' can be considered false.
|
Those that suggest lions are a major symbol of wild Africa are right.
|
Lions mark their territories either by urinating, roaring, or patrolling.
|
Uncertain
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0].
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Not (If [1], then [2].).). [SC2-2]
If [4], then (Not (If [1], then [2].).). [SC3-2]
Therefore, Not (If [1], then [2].)..
[SC1-2]
Disjunctive Syllogism:
Either (Either [8] or [9].) or (Either [3] or [4].).
Not (Either [8] or [9].). [SC2-3]
Therefore, Either [3] or [4]..
[SC2-3]
Disjunctive Syllogism:
Either [10] or (Not (Either [8] or [9].).).
Not [10].
Therefore, Not (Either [8] or [9].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Not (If [1], then [2].).).).), then (If [6], then [7].).
If (Not (If [3], then (Not (If [1], then [2].).).).), then (Not (If [6], then [7].).).
Therefore, If [3], then (Not (If [1], then [2].).)..
[SC3-2]
Hypothetical Syllogism:
If [4], then [5].
If [5], then (Not (If [1], then [2].).).
Therefore, If [4], then (Not (If [1], then [2].).)..
|
{0: 'Lions are a major symbol of wild Africa.', 1: 'Many people use food as a tranquilizer.', 2: 'Bluebells enjoy rich, well-drained soils where they can form large colonies over time.', 3: 'Most blue whales have years.', 4: 'Many women give birth with little or no warning.', 5: 'Private schools require school uniforms, which vary from school to school.', 6: 'Broad hoofs act like snowshoes.', 7: 'Clays are perhaps the oldest materials from which humans have manufactured various artifacts.', 8: 'Natural insulin is produced in the pancreas.', 9: 'Some male koalas have patches.', 10: 'Honey badgers get honey.'}
| 6 |
5,205 |
['Once we know occupancy is the percentage of time that a detector is indicating the presence of a vehicle, we also know that most wood comes from trees.', 'When most rats require habitats is true, it follows that either snake venom is a complex mixture containing many proteins that trigger harmful reactions or occupancy is the percentage of time that a detector is indicating the presence of a vehicle.', 'Many people rightly believe that most rats require habitats.', 'The claim that most grandmothers wear jackets does not correspond with reality.', 'credit scoring is the process that creditors use to predict economic risks.', "We know that either native speakers are speakers or if credit scoring is the process that creditors use to predict economic risks, then if the statement that 'if snake venom is a complex mixture containing many proteins that trigger harmful reactions, then most wood comes from trees' is incorrect, then most grandmothers wear jackets.", 'Once we know native speakers are speakers, we also know that electricity works like the human body.', 'One may reasonably assume that if native speakers are speakers, then the statement that states electricity works like the human body is false.']
|
Once we know occupancy is the percentage of time that a detector is indicating the presence of a vehicle, we also know that most wood comes from trees. When most rats require habitats is true, it follows that either snake venom is a complex mixture containing many proteins that trigger harmful reactions or occupancy is the percentage of time that a detector is indicating the presence of a vehicle. Many people rightly believe that most rats require habitats. The claim that most grandmothers wear jackets does not correspond with reality. credit scoring is the process that creditors use to predict economic risks. We know that either native speakers are speakers or if credit scoring is the process that creditors use to predict economic risks, then if the statement that 'if snake venom is a complex mixture containing many proteins that trigger harmful reactions, then most wood comes from trees' is incorrect, then most grandmothers wear jackets. Once we know native speakers are speakers, we also know that electricity works like the human body. One may reasonably assume that if native speakers are speakers, then the statement that states electricity works like the human body is false.
|
The statement that states most wood comes from trees is right.
|
Most wood uses for rough lumber.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (Either [1] or [2].).
[3]
Therefore, Either [1] or [2]..
[SC2-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [4]. [SC1-2]
Not [4].
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (If [1], then [0].).), then [4].). [SC1-3]
[5]
Therefore, If (Not (If [1], then [0].).), then [4]..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If [5], then (If (Not (If [1], then [0].).), then [4].).).
Not [6]. [SC2-4]
Therefore, If [5], then (If (Not (If [1], then [0].).), then [4].)..
[SC2-4]
Reductio Ad Absurdum:
If [6], then [7].
If [6], then (Not [7].).
Therefore, Not [6]..
|
{0: 'Most wood comes from trees.', 1: 'Snake venom is a complex mixture containing many proteins that trigger harmful reactions.', 2: 'Occupancy is the percentage of time that a detector is indicating the presence of a vehicle.', 3: 'Most rats require habitats.', 4: 'Most grandmothers wear jackets.', 5: 'Credit scoring is the process that creditors use to predict economic risks.', 6: 'Native speakers are speakers.', 7: 'Electricity works like the human body.'}
| 6 |
5,647 |
['The claim that rhinos have various habitats does not correspond with reality.', 'At least one of two things is true: insulation works wells to stop thermal heat, but is ineffective against radiant heat, or wind pushes sea water.', 'When insulation works wells to stop thermal heat, but is ineffective against radiant heat is true, it follows that some gases form air.', 'On the condition that wind pushes sea water, it is definitely the case that moose have (part) faces.', 'Assuming vegetarians have lower urinary excretion, we know that if some gases form air, then rhinos have various habitats.', 'Many people rightly believe that vegetarians have lower urinary excretion.', 'Should it be the case that cats are usually scared of dogs, and the dogs usually chase the cats, it follows that papaya plants require frequent fertilization.', 'We know that at least one of two things is true: if many women use a condom along with a spermicide for extra protection, then sodium atoms have valence shells, or if elephants roam surfaces, then actresses begin careers.', 'Provided that if many women use a condom along with a spermicide for extra protection, then sodium atoms have valence shells, we know that if if cats are usually scared of dogs, and the dogs usually chase the cats, then papaya plants require frequent fertilization, then if moose have (part) faces, then the claim that christians still sin after their conversion does not correspond with reality.', 'Provided that if elephants roam surfaces, then actresses begin careers, we know that if if cats are usually scared of dogs, and the dogs usually chase the cats, then papaya plants require frequent fertilization, then if moose have (part) faces, then the claim that christians still sin after their conversion does not correspond with reality.']
|
The claim that rhinos have various habitats does not correspond with reality. At least one of two things is true: insulation works wells to stop thermal heat, but is ineffective against radiant heat, or wind pushes sea water. When insulation works wells to stop thermal heat, but is ineffective against radiant heat is true, it follows that some gases form air. On the condition that wind pushes sea water, it is definitely the case that moose have (part) faces. Assuming vegetarians have lower urinary excretion, we know that if some gases form air, then rhinos have various habitats. Many people rightly believe that vegetarians have lower urinary excretion. Should it be the case that cats are usually scared of dogs, and the dogs usually chase the cats, it follows that papaya plants require frequent fertilization. We know that at least one of two things is true: if many women use a condom along with a spermicide for extra protection, then sodium atoms have valence shells, or if elephants roam surfaces, then actresses begin careers. Provided that if many women use a condom along with a spermicide for extra protection, then sodium atoms have valence shells, we know that if if cats are usually scared of dogs, and the dogs usually chase the cats, then papaya plants require frequent fertilization, then if moose have (part) faces, then the claim that christians still sin after their conversion does not correspond with reality. Provided that if elephants roam surfaces, then actresses begin careers, we know that if if cats are usually scared of dogs, and the dogs usually chase the cats, then papaya plants require frequent fertilization, then if moose have (part) faces, then the claim that christians still sin after their conversion does not correspond with reality.
|
The claim that christians still sin after their conversion does not correspond with reality.
|
It is a simple truth that christians still sin after their conversion.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Constructive Dilemma:
Either [2] or [3]. [SC1-2]
If [2], then [1]. [SC2-2]
If [3], then (Not [0].). [SC3-2]
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Constructive Dilemma:
Either [4] or [5].
If [4], then [2].
If [5], then [3].
Therefore, Either [2] or [3]..
[SC2-2]
Modus Ponens:
If [8], then (If [2], then [1].).
[8]
Therefore, If [2], then [1]..
[SC3-2]
Modus Ponens:
If (If [6], then [7].), then (If [3], then (Not [0].).). [SC1-3]
If [6], then [7].
Therefore, If [3], then (Not [0].)..
[SC1-3]
Disjunction Elimination:
Either (If [9], then [10].) or (If [11], then [12].).
If (If [9], then [10].), then (If (If [6], then [7].), then (If [3], then (Not [0].).).).
If (If [11], then [12].), then (If (If [6], then [7].), then (If [3], then (Not [0].).).).
Therefore, If (If [6], then [7].), then (If [3], then (Not [0].).)..
|
{0: 'Christians still sin after their conversion.', 1: 'Rhinos have various habitats.', 2: 'Some gases form air.', 3: 'Moose have (part) faces.', 4: 'Insulation works wells to stop thermal heat, but is ineffective against radiant heat.', 5: 'Wind pushes sea water.', 6: 'Cats are usually scared of dogs, and the dogs usually chase the cats.', 7: 'Papaya plants require frequent fertilization.', 8: 'Vegetarians have lower urinary excretion.', 9: 'Many women use a condom along with a spermicide for extra protection.', 10: 'Sodium atoms have valence shells.', 11: 'Elephants roam surfaces.', 12: 'Actresses begin careers.'}
| 6 |
5,190 |
['When those that suggest either if picture elements are part of monitors, then cyclones Remove large airborne particulate efficiently and economically or if parapodia are paddle-like appendages extending from each segment, then human beings are immensely diverse and adaptable to their environment are wrong is true, it follows that either boulder is in the foothills of the Rocky Mountains or summit County has four golf courses and many public tennis courts.', "The statement 'either boulder is in the foothills of the Rocky Mountains or summit County has four golf courses and many public tennis courts' can be considered false.", 'Should it be the case that if picture elements are part of monitors, then cyclones Remove large airborne particulate efficiently and economically, it follows that ice is good for acute back pain because it helps to reduce pain and swelling in the area.', 'On the condition that ice is good for acute back pain because it helps to reduce pain and swelling in the area, it is definitely the case that active nodules look pink when broken open.', 'It is a fact that either humility is traits or some stools contain blood.', 'When some stools contain blood is true, it follows that if if parapodia are paddle-like appendages extending from each segment, then human beings are immensely diverse and adaptable to their environment, then active nodules look pink when broken open.', 'Once we know burns occur at the sites of contact with the electrodes, we also know that species is the most fundamental unit of classification.', 'It is rational to believe that either vision loss can progress rapidly or if if burns occur at the sites of contact with the electrodes, then species is the most fundamental unit of classification, then if humility is traits, then if if parapodia are paddle-like appendages extending from each segment, then human beings are immensely diverse and adaptable to their environment, then active nodules look pink when broken open.', 'The claim that vision loss can progress rapidly has no merit.']
|
When those that suggest either if picture elements are part of monitors, then cyclones Remove large airborne particulate efficiently and economically or if parapodia are paddle-like appendages extending from each segment, then human beings are immensely diverse and adaptable to their environment are wrong is true, it follows that either boulder is in the foothills of the Rocky Mountains or summit County has four golf courses and many public tennis courts. The statement 'either boulder is in the foothills of the Rocky Mountains or summit County has four golf courses and many public tennis courts' can be considered false. Should it be the case that if picture elements are part of monitors, then cyclones Remove large airborne particulate efficiently and economically, it follows that ice is good for acute back pain because it helps to reduce pain and swelling in the area. On the condition that ice is good for acute back pain because it helps to reduce pain and swelling in the area, it is definitely the case that active nodules look pink when broken open. It is a fact that either humility is traits or some stools contain blood. When some stools contain blood is true, it follows that if if parapodia are paddle-like appendages extending from each segment, then human beings are immensely diverse and adaptable to their environment, then active nodules look pink when broken open. Once we know burns occur at the sites of contact with the electrodes, we also know that species is the most fundamental unit of classification. It is rational to believe that either vision loss can progress rapidly or if if burns occur at the sites of contact with the electrodes, then species is the most fundamental unit of classification, then if humility is traits, then if if parapodia are paddle-like appendages extending from each segment, then human beings are immensely diverse and adaptable to their environment, then active nodules look pink when broken open. The claim that vision loss can progress rapidly has no merit.
|
Many people rightly believe that active nodules look pink when broken open.
|
It is a common misconception that active nodules look pink when broken open.
|
FALSE
|
Disjunction Elimination:
Either (If [1], then [2].) or (If [3], then [4].). [SC1-1]
If (If [1], then [2].), then [0]. [SC2-1]
If (If [3], then [4].), then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either (If [1], then [2].) or (If [3], then [4].).).), then (Either [6] or [7].).
Not (Either [6] or [7].).
Therefore, Either (If [1], then [2].) or (If [3], then [4].)..
[SC2-1]
Hypothetical Syllogism:
If (If [1], then [2].), then [5].
If [5], then [0].
Therefore, If (If [1], then [2].), then [0]..
[SC3-1]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (If [3], then [4].), then [0].). [SC2-2]
If [9], then (If (If [3], then [4].), then [0].).
Therefore, If (If [3], then [4].), then [0]..
[SC2-2]
Modus Ponens:
If (If [10], then [11].), then (If [8], then (If (If [3], then [4].), then [0].).). [SC1-3]
If [10], then [11].
Therefore, If [8], then (If (If [3], then [4].), then [0].)..
[SC1-3]
Disjunctive Syllogism:
Either [12] or (If (If [10], then [11].), then (If [8], then (If (If [3], then [4].), then [0].).).).
Not [12].
Therefore, If (If [10], then [11].), then (If [8], then (If (If [3], then [4].), then [0].).)..
|
{0: 'Active nodules look pink when broken open.', 1: 'Picture elements are part of monitors.', 2: 'Cyclones Remove large airborne particulate efficiently and economically.', 3: 'Parapodia are paddle-like appendages extending from each segment.', 4: 'Human beings are immensely diverse and adaptable to their environment.', 5: 'Ice is good for acute back pain because it helps to reduce pain and swelling in the area.', 6: 'Boulder is in the foothills of the Rocky Mountains.', 7: 'Summit County has four golf courses and many public tennis courts.', 8: 'Humility is traits.', 9: 'Some stools contain blood.', 10: 'Burns occur at the sites of contact with the electrodes.', 11: 'Species is the most fundamental unit of classification.', 12: 'Vision loss can progress rapidly.'}
| 6 |
5,361 |
["So long as men find anger, 'either color is one of the most important ways to create warmth or bureaus exist because business believes that it is best able to correct abuses in the marketplace' is true.", "So long as most species have venomous appendages on their sides, 'if some butterflies seek nectar, then blood pressure is the force of blood as it moves through the blood vessels' is true.", "Whenever it is true that if some butterflies seek nectar, then blood pressure is the force of blood as it moves through the blood vessels, 'we know that the claim that either color is one of the most important ways to create warmth or bureaus exist because business believes that it is best able to correct abuses in the marketplace is false' is true.", 'Either results support predictions or enkephalins are endorphins.', "Whenever it is true that results support predictions, 'if most species have venomous appendages on their sides, then some turtles appear in islands' is true.", 'Assuming enkephalins are endorphins, we know that if most species have venomous appendages on their sides, then some turtles appear in islands.', 'On the condition that the claim that if some turtles appear in islands, then men find anger does not reflect reality, it is definitely the case that bonds are debt obligations issued by corporations and governments.', 'We know that the claim that bonds are debt obligations issued by corporations and governments is false.']
|
So long as men find anger, 'either color is one of the most important ways to create warmth or bureaus exist because business believes that it is best able to correct abuses in the marketplace' is true. So long as most species have venomous appendages on their sides, 'if some butterflies seek nectar, then blood pressure is the force of blood as it moves through the blood vessels' is true. Whenever it is true that if some butterflies seek nectar, then blood pressure is the force of blood as it moves through the blood vessels, 'we know that the claim that either color is one of the most important ways to create warmth or bureaus exist because business believes that it is best able to correct abuses in the marketplace is false' is true. Either results support predictions or enkephalins are endorphins. Whenever it is true that results support predictions, 'if most species have venomous appendages on their sides, then some turtles appear in islands' is true. Assuming enkephalins are endorphins, we know that if most species have venomous appendages on their sides, then some turtles appear in islands. On the condition that the claim that if some turtles appear in islands, then men find anger does not reflect reality, it is definitely the case that bonds are debt obligations issued by corporations and governments. We know that the claim that bonds are debt obligations issued by corporations and governments is false.
|
The statement, most species have venomous appendages on their sides, does not hold.
|
The claim that species change over time and space is false.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then (Either [1] or [2].). [SC1-1]
If [0], then (Not (Either [1] or [2].).). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [3]. [SC1-2]
If [3], then (Either [1] or [2].).
Therefore, If [0], then (Either [1] or [2].)..
[SC1-2]
Hypothetical Syllogism:
If [0], then [6]. [SC1-3]
If [6], then [3]. [SC2-3]
Therefore, If [0], then [3]..
[SC1-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [0], then [6].).
If [8], then (If [0], then [6].).
Therefore, If [0], then [6]..
[SC2-3]
Modus Tonens:
If (Not (If [6], then [3].).), then [9].
Not [9].
Therefore, If [6], then [3]..
[SC2-1]
Hypothetical Syllogism:
If [0], then (If [4], then [5].).
If (If [4], then [5].), then (Not (Either [1] or [2].).).
Therefore, If [0], then (Not (Either [1] or [2].).)..
|
{0: 'Most species have venomous appendages on their sides.', 1: 'Color is one of the most important ways to create warmth.', 2: 'Bureaus exist because business believes that it is best able to correct abuses in the marketplace.', 3: 'Men find anger.', 4: 'Some butterflies seek nectar.', 5: 'Blood pressure is the force of blood as it moves through the blood vessels.', 6: 'Some turtles appear in islands.', 7: 'Results support predictions.', 8: 'Enkephalins are endorphins.', 9: 'Bonds are debt obligations issued by corporations and governments.'}
| 6 |
5,664 |
['Assuming if a safari park is a park, then some elk get sick and die, we know that either trees here are largely deciduous, shedding their leaves in the dry season or some ermines have claws.', 'Provided that briquettes provide a long lasting, even heat source and are easier to use than wood coals, we know that either trees here are largely deciduous, shedding their leaves in the dry season or some ermines have claws.', 'Many people rightly believe that homosporous plants have one type of sporophyll that produces a bisexual gametophyte.', 'One may reasonably assume that if the claim that if homosporous plants have one type of sporophyll that produces a bisexual gametophyte, then either if a safari park is a park, then some elk get sick and die or briquettes provide a long lasting, even heat source and are easier to use than wood coals does not reflect reality, then transnational corporations prefer to deal directly with central governments.', 'It is a fact that either birds enter territory or fertility timing is one production practice that is changing.', "When birds enter territory is true, it follows that if we know that the claim that if the claim that if homosporous plants have one type of sporophyll that produces a bisexual gametophyte, then either if a safari park is a park, then some elk get sick and die or briquettes provide a long lasting, even heat source and are easier to use than wood coals does not reflect reality, then the statement that 'transnational corporations prefer to deal directly with central governments' is incorrect is false, then either absence mays have effects or large organizations make recommendations.", "Assuming fertility timing is one production practice that is changing, we know that if we know that the claim that if the claim that if homosporous plants have one type of sporophyll that produces a bisexual gametophyte, then either if a safari park is a park, then some elk get sick and die or briquettes provide a long lasting, even heat source and are easier to use than wood coals does not reflect reality, then the statement that 'transnational corporations prefer to deal directly with central governments' is incorrect is false, then either absence mays have effects or large organizations make recommendations.", 'Either one or both of these statements are true: magnesium produces a host of benefits, or we know that the claim that either absence mays have effects or large organizations make recommendations is false.', 'The claim that magnesium produces a host of benefits does not reflect reality.']
|
Assuming if a safari park is a park, then some elk get sick and die, we know that either trees here are largely deciduous, shedding their leaves in the dry season or some ermines have claws. Provided that briquettes provide a long lasting, even heat source and are easier to use than wood coals, we know that either trees here are largely deciduous, shedding their leaves in the dry season or some ermines have claws. Many people rightly believe that homosporous plants have one type of sporophyll that produces a bisexual gametophyte. One may reasonably assume that if the claim that if homosporous plants have one type of sporophyll that produces a bisexual gametophyte, then either if a safari park is a park, then some elk get sick and die or briquettes provide a long lasting, even heat source and are easier to use than wood coals does not reflect reality, then transnational corporations prefer to deal directly with central governments. It is a fact that either birds enter territory or fertility timing is one production practice that is changing. When birds enter territory is true, it follows that if we know that the claim that if the claim that if homosporous plants have one type of sporophyll that produces a bisexual gametophyte, then either if a safari park is a park, then some elk get sick and die or briquettes provide a long lasting, even heat source and are easier to use than wood coals does not reflect reality, then the statement that 'transnational corporations prefer to deal directly with central governments' is incorrect is false, then either absence mays have effects or large organizations make recommendations. Assuming fertility timing is one production practice that is changing, we know that if we know that the claim that if the claim that if homosporous plants have one type of sporophyll that produces a bisexual gametophyte, then either if a safari park is a park, then some elk get sick and die or briquettes provide a long lasting, even heat source and are easier to use than wood coals does not reflect reality, then the statement that 'transnational corporations prefer to deal directly with central governments' is incorrect is false, then either absence mays have effects or large organizations make recommendations. Either one or both of these statements are true: magnesium produces a host of benefits, or we know that the claim that either absence mays have effects or large organizations make recommendations is false. The claim that magnesium produces a host of benefits does not reflect reality.
|
It is a fact that either trees here are largely deciduous, shedding their leaves in the dry season or some ermines have claws.
|
It is not true that either trees here are largely deciduous, shedding their leaves in the dry season or some ermines have claws.
|
FALSE
|
Disjunction Elimination:
Either (If [2], then [3].) or [4]. [SC1-1]
If (If [2], then [3].), then (Either [0] or [1].).
If [4], then (Either [0] or [1].).
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [5], then (Either (If [2], then [3].) or [4].). [SC1-2]
[5]
Therefore, Either (If [2], then [3].) or [4]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [5], then (Either (If [2], then [3].) or [4].).).), then [6].
If (Not (If [5], then (Either (If [2], then [3].) or [4].).).), then (Not [6].). [SC2-3]
Therefore, If [5], then (Either (If [2], then [3].) or [4].)..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If [5], then (Either (If [2], then [3].) or [4].).).), then (Not [6].).).), then (Either [7] or [8].). [SC1-4]
Not (Either [7] or [8].). [SC2-4]
Therefore, If (Not (If [5], then (Either (If [2], then [3].) or [4].).).), then (Not [6].)..
[SC1-4]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (Not (If (Not (If [5], then (Either (If [2], then [3].) or [4].).).), then (Not [6].).).), then (Either [7] or [8].).).
If [10], then (If (Not (If (Not (If [5], then (Either (If [2], then [3].) or [4].).).), then (Not [6].).).), then (Either [7] or [8].).).
Therefore, If (Not (If (Not (If [5], then (Either (If [2], then [3].) or [4].).).), then (Not [6].).).), then (Either [7] or [8].)..
[SC2-4]
Disjunctive Syllogism:
Either [11] or (Not (Either [7] or [8].).).
Not [11].
Therefore, Not (Either [7] or [8].)..
|
{0: 'Trees here are largely deciduous, shedding their leaves in the dry season.', 1: 'Some ermines have claws.', 2: 'A safari park is a park.', 3: 'Some elk get sick and die.', 4: 'Briquettes provide a long lasting, even heat source and are easier to use than wood coals.', 5: 'Homosporous plants have one type of sporophyll that produces a bisexual gametophyte.', 6: 'Transnational corporations prefer to deal directly with central governments.', 7: 'Absence mays have effects.', 8: 'Large organizations make recommendations.', 9: 'Birds enter territory.', 10: 'Fertility timing is one production practice that is changing.', 11: 'Magnesium produces a host of benefits.'}
| 6 |
5,375 |
['Given that animals can also see light , it can be inferred that if bier is for animals, then aeroplanes have (part) petrol gauges.', 'Given that electricians have (part) arms, it can be inferred that the claim that if bier is for animals, then aeroplanes have (part) petrol gauges has no merit.', "So long as most high temperature affects sperm motility, 'the claim that if bier is for animals, then aeroplanes have (part) petrol gauges has no merit' is true.", 'It is rational to agree that skin cells are impervious to many chemicals and are an effective barrier against bacteria.', "One may reasonably assume that if the statement that 'either electricians have (part) arms or most high temperature affects sperm motility' is incorrect, then valet parking is a fancy name for extortion.", 'The claim that valet parking is a fancy name for extortion does not correspond with reality.', 'If skin cells are impervious to many chemicals and are an effective barrier against bacteria, then most pelicans has-part toes.', 'On the condition that most pelicans has-part toes, it is definitely the case that if the statement that states some individuals do have a problem with interracial dating and marriage is false, then animals can also see light .']
|
Given that animals can also see light , it can be inferred that if bier is for animals, then aeroplanes have (part) petrol gauges. Given that electricians have (part) arms, it can be inferred that the claim that if bier is for animals, then aeroplanes have (part) petrol gauges has no merit. So long as most high temperature affects sperm motility, 'the claim that if bier is for animals, then aeroplanes have (part) petrol gauges has no merit' is true. It is rational to agree that skin cells are impervious to many chemicals and are an effective barrier against bacteria. One may reasonably assume that if the statement that 'either electricians have (part) arms or most high temperature affects sperm motility' is incorrect, then valet parking is a fancy name for extortion. The claim that valet parking is a fancy name for extortion does not correspond with reality. If skin cells are impervious to many chemicals and are an effective barrier against bacteria, then most pelicans has-part toes. On the condition that most pelicans has-part toes, it is definitely the case that if the statement that states some individuals do have a problem with interracial dating and marriage is false, then animals can also see light .
|
It is reasonable to believe that some individuals do have a problem with interracial dating and marriage.
|
Individuals receive treatments.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3]. [SC1-2]
If [3], then (If [1], then [2].).
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Modus Ponens:
If [6], then (If (Not [0].), then [3].). [SC1-3]
[6]
Therefore, If (Not [0].), then [3]..
[SC1-3]
Hypothetical Syllogism:
If [6], then [8].
If [8], then (If (Not [0].), then [3].).
Therefore, If [6], then (If (Not [0].), then [3].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (Not (If [1], then [2].).).
If [5], then (Not (If [1], then [2].).).
Therefore, Not (If [1], then [2].)..
[SC1-2]
Modus Tonens:
If (Not (Either [4] or [5].).), then [7].
Not [7].
Therefore, Either [4] or [5]..
|
{0: 'Some individuals do have a problem with interracial dating and marriage.', 1: 'Bier is for animals.', 2: 'Aeroplanes have (part) petrol gauges.', 3: 'Animals can also see light .', 4: 'Electricians have (part) arms.', 5: 'Most high temperature affects sperm motility.', 6: 'Skin cells are impervious to many chemicals and are an effective barrier against bacteria.', 7: 'Valet parking is a fancy name for extortion.', 8: 'Most pelicans has-part toes.'}
| 6 |
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