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|(t&(p&r)))
|
(((j|g)|(p&j))|((b&r)|(g|r)))
| 1 | 0 | 0 | 0 |
entailment
|
~(p)
|
~((((j>((t|j)&g))&p)&((p|s)|g)))
| 1 | 0 | 0 | 0 |
entailment
|
(j|(t&(p&r)))
|
~((((j>((t|j)&g))&p)&((p|s)|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(p)
|
(((j|g)|(p&j))|((b&r)|(g|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
((t&r)&g)
|
((j>t)|(~(s)>t))
| 1 | 0 | 0 | 0 |
entailment
|
((b|(((s&b)&t)|b))&(j>b))
|
(((r&r)&(p>~(t)))>~((j&~(b))))
| 1 | 0 | 0 | 0 |
entailment
|
((t&r)&g)
|
(((r&r)&(p>~(t)))>~((j&~(b))))
| 0 | 0 | 0 | 0 |
not entailment
|
((b|(((s&b)&t)|b))&(j>b))
|
((j>t)|(~(s)>t))
| 0 | 1 | 1 | 1 |
not entailment
|
(i|~((i>i)))
|
((i&(i&i))&(i|((i>(i|i))>i)))
| 1 | 0 | 1 | 1 |
entailment
|
~((i&i))
|
(((i|i)&((i|i)|i))>~((i>(i&i))))
| 1 | 0 | 1 | 0 |
entailment
|
(i|~((i>i)))
|
(((i|i)&((i|i)|i))>~((i>(i&i))))
| 0 | 0 | 1 | 1 |
not entailment
|
~((i&i))
|
((i&(i&i))&(i|((i>(i|i))>i)))
| 0 | 0 | 1 | 0 |
not entailment
|
(i&i)
|
(i&i)
| 1 | 1 | 1 | 1 |
entailment
|
((i>i)&~(i))
|
((~((i>~(~((i|i)))))|(i&i))>~((i&i)))
| 1 | 0 | 1 | 1 |
entailment
|
(i&i)
|
((~((i>~(~((i|i)))))|(i&i))>~((i&i)))
| 0 | 0 | 1 | 0 |
not entailment
|
((i>i)&~(i))
|
(i&i)
| 0 | 1 | 1 | 1 |
not entailment
|
(((i&i)>(i&i))&i)
|
((((i&~(i))>(i>i))&i)&i)
| 1 | 0 | 1 | 1 |
entailment
|
~((i|i))
|
~(i)
| 1 | 1 | 1 | 1 |
entailment
|
(((i&i)>(i&i))&i)
|
~(i)
| 0 | 1 | 1 | 1 |
not entailment
|
~((i|i))
|
((((i&~(i))>(i>i))&i)&i)
| 0 | 0 | 1 | 0 |
not entailment
|
(((i>i)|((i|i)>((i>i)>(i&i))))&i)
|
((i>(i>(i>(i|i))))>((i|i)&i))
| 1 | 1 | 1 | 1 |
entailment
|
~(i)
|
~(((i|i)&((i|i)|((i|((i|i)>i))>i))))
| 1 | 0 | 1 | 0 |
entailment
|
(((i>i)|((i|i)>((i>i)>(i&i))))&i)
|
~(((i|i)&((i|i)|((i|((i|i)>i))>i))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(i)
|
((i>(i>(i>(i|i))))>((i|i)&i))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(~((i|i)))&((i>(i>(i|i)))>(i>i)))
|
(((i|i)&i)&((i|i)&i))
| 1 | 1 | 1 | 1 |
entailment
|
~(((i|((i>i)&i))|((i&i)|(i|i))))
|
(~(i)|~(i))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~((i|i)))&((i>(i>(i|i)))>(i>i)))
|
(~(i)|~(i))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((i|((i>i)&i))|((i&i)|(i|i))))
|
(((i|i)&i)&((i|i)&i))
| 0 | 1 | 1 | 1 |
not entailment
|
(((i|i)|(i>i))&((i&i)|i))
|
(~((~(~(((i>i)|i)))>i))>i)
| 1 | 0 | 1 | 1 |
entailment
|
~(((i|i)|i))
|
(((i&(i>(i>~(i))))>i)>(i>~(i)))
| 1 | 0 | 1 | 0 |
entailment
|
(((i|i)|(i>i))&((i&i)|i))
|
(((i&(i>(i>~(i))))>i)>(i>~(i)))
| 0 | 0 | 1 | 1 |
not entailment
|
~(((i|i)|i))
|
(~((~(~(((i>i)|i)))>i))>i)
| 0 | 0 | 1 | 0 |
not entailment
|
((((~((i&i))|~(i))|i)&i)&i)
|
(~(i)>~(((i&i)>(i|~((i>i))))))
| 1 | 0 | 1 | 1 |
entailment
|
((i&((i>i)|i))>(((i>i)&i)&~(i)))
|
(~((i|i))&~((i|i)))
| 1 | 1 | 1 | 1 |
entailment
|
((((~((i&i))|~(i))|i)&i)&i)
|
(~((i|i))&~((i|i)))
| 0 | 1 | 1 | 1 |
not entailment
|
((i&((i>i)|i))>(((i>i)&i)&~(i)))
|
(~(i)>~(((i&i)>(i|~((i>i))))))
| 0 | 1 | 1 | 1 |
not entailment
|
(a&a)
|
((~(~(a))&(a&a))&(a>a))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(~((~(a)&a)))|a))
|
((a>a)>~((~(a)>(a|a))))
| 1 | 1 | 1 | 1 |
entailment
|
(a&a)
|
((a>a)>~((~(a)>(a|a))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(~((~(a)&a)))|a))
|
((~(~(a))&(a&a))&(a>a))
| 0 | 1 | 1 | 1 |
not entailment
|
(((a>a)>a)&(a&(a|a)))
|
((a|a)|((a|(a>a))&((a|a)&((a&a)&a))))
| 1 | 0 | 1 | 1 |
entailment
|
((a|a)>~(((a|a)&a)))
|
~(~(~((a|((((a&a)&a)&~((a>a)))&a)))))
| 1 | 0 | 1 | 0 |
entailment
|
(((a>a)>a)&(a&(a|a)))
|
~(~(~((a|((((a&a)&a)&~((a>a)))&a)))))
| 0 | 0 | 1 | 1 |
not entailment
|
((a|a)>~(((a|a)&a)))
|
((a|a)|((a|(a>a))&((a|a)&((a&a)&a))))
| 0 | 0 | 1 | 0 |
not entailment
|
((a&a)&(a|a))
|
(a&(~(((a>a)&a))>a))
| 1 | 0 | 1 | 0 |
entailment
|
(~(a)&(a>(a|a)))
|
~(a)
| 1 | 1 | 1 | 1 |
entailment
|
((a&a)&(a|a))
|
~(a)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(a)&(a>(a|a)))
|
(a&(~(((a>a)&a))>a))
| 0 | 0 | 1 | 1 |
not entailment
|
(a|(a|a))
|
(((a|a)&a)&a)
| 1 | 0 | 1 | 1 |
entailment
|
~(a)
|
(((a|(a|a))>~(a))|(((a&a)>a)>~((a>a))))
| 1 | 0 | 1 | 0 |
entailment
|
(a|(a|a))
|
(((a|(a|a))>~(a))|(((a&a)>a)>~((a>a))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(a)
|
(((a|a)&a)&a)
| 0 | 0 | 1 | 0 |
not entailment
|
((a>((a&a)>a))>~(((a>a)>((a|(a>a))&a))))
|
~((~(~(((a>a)&a)))&(a>a)))
| 1 | 1 | 1 | 1 |
entailment
|
((a|a)&a)
|
~(((a>(((a&a)|a)>(a&a)))&(~(a)&(a>a))))
| 1 | 0 | 1 | 0 |
entailment
|
((a>((a&a)>a))>~(((a>a)>((a|(a>a))&a))))
|
~(((a>(((a&a)|a)>(a&a)))&(~(a)&(a>a))))
| 0 | 1 | 1 | 1 |
not entailment
|
((a|a)&a)
|
~((~(~(((a>a)&a)))&(a>a)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((w>q)>o)&(((v&h)|h)&v))
|
((((~(h)>v)|n)>(v|w))|y)
| 1 | 1 | 0 | 0 |
entailment
|
(d&(i>h))
|
(((y&n)|d)|j)
| 1 | 0 | 0 | 0 |
entailment
|
(((w>q)>o)&(((v&h)|h)&v))
|
(((y&n)|d)|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(i>h))
|
((((~(h)>v)|n)>(v|w))|y)
| 0 | 0 | 0 | 0 |
not entailment
|
(((h|(j>o))&(~((o>n))|~((w>j))))&i)
|
((~(v)>(i|d))|(w>~(j)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((n&v)|((o&h)>n))|d))
|
~(~(~((((v>d)|(q|h))&n))))
| 1 | 0 | 0 | 0 |
entailment
|
(((h|(j>o))&(~((o>n))|~((w>j))))&i)
|
~(~(~((((v>d)|(q|h))&n))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((n&v)|((o&h)>n))|d))
|
((~(v)>(i|d))|(w>~(j)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((w>j)&w)|~(j)))
|
(j|(h|(n>v)))
| 1 | 1 | 0 | 0 |
entailment
|
(q&~((~(((q>h)|i))|(y>w))))
|
~((~(q)&(~(v)|(i|n))))
| 1 | 1 | 0 | 0 |
entailment
|
~((((w>j)&w)|~(j)))
|
~((~(q)&(~(v)|(i|n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&~((~(((q>h)|i))|(y>w))))
|
(j|(h|(n>v)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((n|~(i))>(~(n)|((j&y)>q))))
|
~((((y&j)>~(j))&(w>n)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((j>j))|(q&h))
|
((y>o)|(h&y))
| 1 | 1 | 0 | 0 |
entailment
|
~(((n|~(i))>(~(n)|((j&y)>q))))
|
((y>o)|(h&y))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((j>j))|(q&h))
|
~((((y&j)>~(j))&(w>n)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((n&(~(j)&(j|d)))&(w&y))&((o|d)|(v>h)))
|
(((n&y)|(v|q))|j)
| 1 | 1 | 0 | 0 |
entailment
|
~((((d&q)&(~((w|h))&h))|(h>(h&n))))
|
~(~(((v>n)>(d>~(n)))))
| 1 | 1 | 0 | 0 |
entailment
|
(((n&(~(j)&(j|d)))&(w&y))&((o|d)|(v>h)))
|
~(~(((v>n)>(d>~(n)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((d&q)&(~((w|h))&h))|(h>(h&n))))
|
(((n&y)|(v|q))|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(v>w))
|
((h&d)|(v>h))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((h>n)&y))>~(((d&v)>o)))
|
(~((~(y)&q))|d)
| 1 | 1 | 0 | 0 |
entailment
|
(h&(v>w))
|
(~((~(y)&q))|d)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((h>n)&y))>~(((d&v)>o)))
|
((h&d)|(v>h))
| 0 | 1 | 1 | 0 |
not entailment
|
(h&w)
|
~(((~((o|(q|q)))&d)&(~(h)&w)))
| 1 | 0 | 0 | 0 |
entailment
|
((n|j)&~(n))
|
(i>(w>~((d&n))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&w)
|
(i>(w>~((d&n))))
| 0 | 0 | 0 | 0 |
not entailment
|
((n|j)&~(n))
|
~(((~((o|(q|q)))&d)&(~(h)&w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((y>n))&(((q&w)>(n&j))&i))
|
(~((o|y))>(h|(y&n)))
| 1 | 1 | 0 | 0 |
entailment
|
(d&~(~((q|q))))
|
(q|(y>o))
| 1 | 1 | 0 | 0 |
entailment
|
(~((y>n))&(((q&w)>(n&j))&i))
|
(q|(y>o))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&~(~((q|q))))
|
(~((o|y))>(h|(y&n)))
| 0 | 0 | 0 | 0 |
not entailment
|
((h&d)&j)
|
((~((~(((o|o)&j))>j))|h)|~((w&(h>j))))
| 1 | 0 | 0 | 0 |
entailment
|
(v&~(n))
|
~((((~(y)|~(q))&((v>(w|w))>(d&h)))&n))
| 1 | 0 | 0 | 0 |
entailment
|
((h&d)&j)
|
~((((~(y)|~(q))&((v>(w|w))>(d&h)))&n))
| 0 | 0 | 0 | 0 |
not entailment
|
(v&~(n))
|
((~((~(((o|o)&j))>j))|h)|~((w&(h>j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((v>h))&~((w&i)))
|
((((q&h)&(h>i))&((d|q)|y))>(i&(i&y)))
| 1 | 0 | 0 | 0 |
entailment
|
~((o>(j>(w>n))))
|
~((((w&(d>d))>(o&n))&(o>i)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((v>h))&~((w&i)))
|
~((((w&(d>d))>(o&n))&(o>i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((o>(j>(w>n))))
|
((((q&h)&(h>i))&((d|q)|y))>(i&(i&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((w>y)|(~(n)>(j&(n|y)))))
|
((n>y)|j)
| 1 | 1 | 1 | 0 |
entailment
|
((((~(~(j))|q)&i)&o)&((~(d)|i)|~(d)))
|
((d>(q|(h&d)))|i)
| 1 | 1 | 0 | 0 |
entailment
|
~(((w>y)|(~(n)>(j&(n|y)))))
|
((d>(q|(h&d)))|i)
| 0 | 1 | 0 | 0 |
not entailment
|
((((~(~(j))|q)&i)&o)&((~(d)|i)|~(d)))
|
((n>y)|j)
| 0 | 1 | 0 | 0 |
not entailment
|
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