A
stringlengths 4
41
| B
stringlengths 4
41
| E
int64 0
1
| H1
int64 0
1
| H2
int64 0
1
| H3
int64 0
1
| label
stringclasses 2
values |
|---|---|---|---|---|---|---|
(((j&j)&~(x))|j)
|
~(~((j>((((c&j)>x)|x)&~(c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(j)|((c>x)&c))
|
(~(~(x))>((x>x)>(j>(j>c))))
| 1 | 0 | 1 | 0 |
entailment
|
~(c)
|
(~(~(x))>((x>x)>(j>(j>c))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(j)|((c>x)&c))
|
(c>j)
| 0 | 1 | 1 | 0 |
not entailment
|
(c&x)
|
~(~((c>x)))
| 1 | 0 | 1 | 0 |
entailment
|
((~(x)|(~((x>j))|(c|x)))&~(x))
|
(x>~((~(~(((c>x)|j)))|((x|x)&x))))
| 1 | 0 | 1 | 1 |
entailment
|
(c&x)
|
(x>~((~(~(((c>x)|j)))|((x|x)&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(x)|(~((x>j))|(c|x)))&~(x))
|
~(~((c>x)))
| 0 | 1 | 1 | 0 |
not entailment
|
((x|c)&(((x&(c&~(c)))>j)>x))
|
((~(c)|c)&((x&(x&j))|x))
| 1 | 1 | 1 | 0 |
entailment
|
~(((((j&(x>(j>j)))&(x>x))>~((x&j)))>x))
|
((j&(j&(x&x)))>c)
| 1 | 1 | 0 | 0 |
entailment
|
((x|c)&(((x&(c&~(c)))>j)>x))
|
((j&(j&(x&x)))>c)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((((j&(x>(j>j)))&(x>x))>~((x&j)))>x))
|
((~(c)|c)&((x&(x&j))|x))
| 0 | 1 | 0 | 0 |
not entailment
|
(x&x)
|
(x&(~(((j|c)>(x>c)))>j))
| 1 | 0 | 0 | 0 |
entailment
|
((~(j)>(c|c))>(c|~(((j|j)>(j&j)))))
|
(~(c)>~(j))
| 1 | 1 | 1 | 1 |
entailment
|
(x&x)
|
(~(c)>~(j))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(j)>(c|c))>(c|~(((j|j)>(j&j)))))
|
(x&(~(((j|c)>(x>c)))>j))
| 0 | 1 | 0 | 0 |
not entailment
|
(j|(j&x))
|
((c&x)|(j|x))
| 1 | 0 | 0 | 0 |
entailment
|
((c|(~(((j|j)&(j>(j>c))))|c))>c)
|
(j>c)
| 1 | 1 | 1 | 1 |
entailment
|
(j|(j&x))
|
(j>c)
| 0 | 1 | 0 | 0 |
not entailment
|
((c|(~(((j|j)&(j>(j>c))))|c))>c)
|
((c&x)|(j|x))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&c)&(x|c))
|
(~((x|((~(c)&c)&(x|x))))>c)
| 1 | 0 | 1 | 0 |
entailment
|
(~((x>c))|(~(x)&~(j)))
|
~((j&(~((((j&j)|x)&j))|(c&(j>j)))))
| 1 | 0 | 1 | 0 |
entailment
|
((x&c)&(x|c))
|
~((j&(~((((j&j)|x)&j))|(c&(j>j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((x>c))|(~(x)&~(j)))
|
(~((x|((~(c)&c)&(x|x))))>c)
| 0 | 0 | 1 | 0 |
not entailment
|
~((x>~(((x>c)|c))))
|
(~(~(~(x)))>(((j&x)|c)&~((j>~(c)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((j>j))&j)|(j>x)))
|
((((j|c)|((c|(c|j))|c))|~((x>c)))>j)
| 1 | 0 | 0 | 0 |
entailment
|
~((x>~(((x>c)|c))))
|
((((j|c)|((c|(c|j))|c))|~((x>c)))>j)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((j>j))&j)|(j>x)))
|
(~(~(~(x)))>(((j&x)|c)&~((j>~(c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&((((s>s)&s)&s)>(s&(s>(~(p)|p)))))
|
((((p&p)|~(s))&~(s))>((s|p)&(s&(p&p))))
| 1 | 0 | 1 | 1 |
entailment
|
(((s&(s>s))|(s|p))>((s&p)|((p|p)&s)))
|
~((s&~(((s|s)&p))))
| 1 | 1 | 1 | 1 |
entailment
|
(s&((((s>s)&s)&s)>(s&(s>(~(p)|p)))))
|
~((s&~(((s|s)&p))))
| 0 | 1 | 1 | 1 |
not entailment
|
(((s&(s>s))|(s|p))>((s&p)|((p|p)&s)))
|
((((p&p)|~(s))&~(s))>((s|p)&(s&(p&p))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(((s>(s>s))&(s>~(s))))
|
((~((p&s))>s)&(((s&p)&~(p))|(s|s)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((s>s)|(p>((s&p)|(p|s))))>(p>s)))
|
(p|~(s))
| 1 | 1 | 1 | 1 |
entailment
|
~(((s>(s>s))&(s>~(s))))
|
(p|~(s))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((s>s)|(p>((s&p)|(p|s))))>(p>s)))
|
((~((p&s))>s)&(((s&p)&~(p))|(s|s)))
| 0 | 1 | 1 | 1 |
not entailment
|
(~((~((((s|p)|p)|(p>p)))>~(s)))|s)
|
~((~(~(~((p|(s|p)))))&(p>(s&p))))
| 1 | 1 | 1 | 1 |
entailment
|
(~((p|(s&s)))&((s|~(p))&(p>s)))
|
((s&(s|s))>~((s|s)))
| 1 | 1 | 1 | 1 |
entailment
|
(~((~((((s|p)|p)|(p>p)))>~(s)))|s)
|
((s&(s|s))>~((s|s)))
| 0 | 1 | 1 | 1 |
not entailment
|
(~((p|(s&s)))&((s|~(p))&(p>s)))
|
~((~(~(~((p|(s|p)))))&(p>(s&p))))
| 0 | 0 | 1 | 0 |
not entailment
|
(s&s)
|
~(~((p>s)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(s)|s)>~(p)))
|
((p|p)&((p&s)>((p&p)&(s>p))))
| 1 | 0 | 1 | 0 |
entailment
|
(s&s)
|
((p|p)&((p&s)>((p&p)&(s>p))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(s)|s)>~(p)))
|
~(~((p>s)))
| 0 | 1 | 1 | 0 |
not entailment
|
((s|((((p|p)>p)&p)>s))&((s&s)|(s&s)))
|
(s&(p>((p>s)&p)))
| 1 | 1 | 1 | 1 |
entailment
|
~((p>s))
|
~(~(p))
| 1 | 1 | 1 | 1 |
entailment
|
((s|((((p|p)>p)&p)>s))&((s&s)|(s&s)))
|
~(~(p))
| 0 | 1 | 1 | 1 |
not entailment
|
~((p>s))
|
(s&(p>((p>s)&p)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((p|p))
|
((p>s)|s)
| 1 | 1 | 0 | 0 |
entailment
|
((p>p)&(p&(p&p)))
|
(~((p|s))|~(((s>s)>~(p))))
| 1 | 0 | 0 | 0 |
entailment
|
~((p|p))
|
(~((p|s))|~(((s>s)>~(p))))
| 0 | 0 | 0 | 0 |
not entailment
|
((p>p)&(p&(p&p)))
|
((p>s)|s)
| 0 | 1 | 0 | 0 |
not entailment
|
(p>s)
|
~(~((((p|p)&~(s))>s)))
| 1 | 0 | 1 | 1 |
entailment
|
~((~(~((p>s)))|~(p)))
|
((~(p)>(~(((s>(p>p))|p))>s))&(~(p)>p))
| 1 | 0 | 1 | 0 |
entailment
|
(p>s)
|
((~(p)>(~(((s>(p>p))|p))>s))&(~(p)>p))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(~((p>s)))|~(p)))
|
~(~((((p|p)&~(s))>s)))
| 0 | 1 | 1 | 0 |
not entailment
|
(p&(s&s))
|
((p&s)|(s|s))
| 1 | 0 | 1 | 1 |
entailment
|
(p&~(((p>~(p))|(p>s))))
|
((~(s)|~(~((s>p))))>((p>p)>~(s)))
| 1 | 0 | 1 | 0 |
entailment
|
(p&(s&s))
|
((~(s)|~(~((s>p))))>((p>p)>~(s)))
| 0 | 0 | 1 | 0 |
not entailment
|
(p&~(((p>~(p))|(p>s))))
|
((p&s)|(s|s))
| 0 | 1 | 1 | 0 |
not entailment
|
((((((p|p)>s)|p)|(p|(p&p)))>(s>p))>s)
|
(~(~((s|((p|p)&~((s>p))))))|(p&p))
| 1 | 1 | 1 | 1 |
entailment
|
(((p|p)>(s>s))>(p>(~(p)|(~(s)&p))))
|
(p>~(((s|p)>(s|(p>s)))))
| 1 | 1 | 1 | 1 |
entailment
|
((((((p|p)>s)|p)|(p|(p&p)))>(s>p))>s)
|
(p>~(((s|p)>(s|(p>s)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((p|p)>(s>s))>(p>(~(p)|(~(s)&p))))
|
(~(~((s|((p|p)&~((s>p))))))|(p&p))
| 0 | 1 | 1 | 1 |
not entailment
|
(q&((q|((~(q)>(q&q))|q))>q))
|
((q|q)&~(~(q)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(q)))
|
(~(q)&(q>(q|(q|q))))
| 1 | 0 | 1 | 0 |
entailment
|
(q&((q|((~(q)>(q&q))|q))>q))
|
(~(q)&(q>(q|(q|q))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(~(q)))
|
((q|q)&~(~(q)))
| 0 | 0 | 1 | 0 |
not entailment
|
((q&~((q>q)))|~(~((q&q))))
|
(q&q)
| 1 | 1 | 1 | 1 |
entailment
|
~(((~((q>q))>(q>~(q)))>((q>q)>q)))
|
~(q)
| 1 | 1 | 1 | 1 |
entailment
|
((q&~((q>q)))|~(~((q&q))))
|
~(q)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((~((q>q))>(q>~(q)))>((q>q)>q)))
|
(q&q)
| 0 | 1 | 1 | 1 |
not entailment
|
(q&q)
|
~(((q|(q>q))>~(q)))
| 1 | 0 | 1 | 0 |
entailment
|
(q>~((~(~(q))>q)))
|
~(((~((q|q))|q)>((q&~(~((q>q))))|q)))
| 1 | 0 | 1 | 1 |
entailment
|
(q&q)
|
~(((~((q|q))|q)>((q&~(~((q>q))))|q)))
| 0 | 0 | 1 | 0 |
not entailment
|
(q>~((~(~(q))>q)))
|
~(((q|(q>q))>~(q)))
| 0 | 1 | 1 | 1 |
not entailment
|
(q|q)
|
((~(((q>(q&q))|q))|q)|q)
| 1 | 0 | 1 | 0 |
entailment
|
~(((q|q)|q))
|
~((q&q))
| 1 | 1 | 1 | 1 |
entailment
|
(q|q)
|
~((q&q))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((q|q)|q))
|
((~(((q>(q&q))|q))|q)|q)
| 0 | 0 | 1 | 0 |
not entailment
|
(q|q)
|
(q&q)
| 1 | 1 | 1 | 1 |
entailment
|
((q>q)>~(((q|q)&(q>(q|((q>q)|q))))))
|
(((q&~((q&(q&q))))>((q&q)|q))>~((q|q)))
| 1 | 0 | 1 | 1 |
entailment
|
(q|q)
|
(((q&~((q&(q&q))))>((q&q)|q))>~((q|q)))
| 0 | 0 | 1 | 0 |
not entailment
|
((q>q)>~(((q|q)&(q>(q|((q>q)|q))))))
|
(q&q)
| 0 | 1 | 1 | 1 |
not entailment
|
((~(q)>q)|(~((q>q))&(q|(q|(q|(q>q))))))
|
(q&q)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(q)>q))
|
~((q&q))
| 1 | 1 | 1 | 1 |
entailment
|
((~(q)>q)|(~((q>q))&(q|(q|(q|(q>q))))))
|
~((q&q))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(q)>q))
|
(q&q)
| 0 | 1 | 1 | 0 |
not entailment
|
(((q>q)&q)|((q>q)&(q|q)))
|
(q|q)
| 1 | 1 | 1 | 1 |
entailment
|
~(q)
|
~(q)
| 1 | 1 | 1 | 1 |
entailment
|
(((q>q)&q)|((q>q)&(q|q)))
|
~(q)
| 0 | 1 | 1 | 1 |
not entailment
|
~(q)
|
(q|q)
| 0 | 1 | 1 | 0 |
not entailment
|
((x&a)|~((f|a)))
|
((~(a)>a)|(f>x))
| 1 | 1 | 1 | 1 |
entailment
|
(f&f)
|
(~(~((a>x)))>(~((f&f))>(x|a)))
| 1 | 0 | 0 | 0 |
entailment
|
((x&a)|~((f|a)))
|
(~(~((a>x)))>(~((f&f))>(x|a)))
| 0 | 0 | 1 | 0 |
not entailment
|
(f&f)
|
((~(a)>a)|(f>x))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(a)|~((~((a|a))>(~(a)>(a&x))))))
|
~(~(a))
| 1 | 1 | 1 | 1 |
entailment
|
((f>(~(((a>(a>x))&x))&~(a)))&x)
|
((x&x)&((f|f)>x))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(a)|~((~((a|a))>(~(a)>(a&x))))))
|
((x&x)&((f|f)>x))
| 0 | 1 | 0 | 0 |
not entailment
|
((f>(~(((a>(a>x))&x))&~(a)))&x)
|
~(~(a))
| 0 | 1 | 1 | 1 |
not entailment
|
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