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 |
---|---|---|---|---|---|---|
~(~(a))
|
((~(q)|(l>~((a>a))))|a)
| 1 | 0 | 0 | 0 |
entailment
|
(~((k|(n&n)))&q)
|
((~(q)|(l>~((a>a))))|a)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(a))
|
(k>x)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((n&g)>~(x))|(x>a)))
|
~((a&~(~((k&x)))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(g)>(((k>h)|l)>(((k&a)&x)>q))))
|
(~((h&~(g)))>k)
| 1 | 1 | 1 | 1 |
entailment
|
~((((n&g)>~(x))|(x>a)))
|
(~((h&~(g)))>k)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(g)>(((k>h)|l)>(((k&a)&x)>q))))
|
~((a&~(~((k&x)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~((h|x)))&~((l&a)))
|
((a>l)>((n>((h>(l>((n>x)&q)))&l))>(x|h)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((t>l))>n))
|
~((n&~((n>l))))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~((h|x)))&~((l&a)))
|
~((n&~((n>l))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((t>l))>n))
|
((a>l)>((n>((h>(l>((n>x)&q)))&l))>(x|h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(q|q)
|
((x&((n|n)&t))|(q|(l&k)))
| 1 | 0 | 0 | 0 |
entailment
|
~((q|l))
|
(~(l)|((l>~(~(h)))&(h>x)))
| 1 | 0 | 0 | 0 |
entailment
|
(q|q)
|
(~(l)|((l>~(~(h)))&(h>x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((q|l))
|
((x&((n|n)&t))|(q|(l&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((h|~((((t&x)&l)&q))))
|
(((k|g)>k)>(q|((n>~(t))>(x&l))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(k)&h)|(q|x)))
|
~(q)
| 1 | 1 | 1 | 1 |
entailment
|
~((h|~((((t&x)&l)&q))))
|
~(q)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~(k)&h)|(q|x)))
|
(((k|g)>k)>(q|((n>~(t))>(x&l))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t&(q|g))&(~((g>(h&(t&h))))>t))
|
((k&(t>n))>(~(t)>(x>q)))
| 1 | 1 | 0 | 0 |
entailment
|
(x&a)
|
((~(k)&x)|((q>(k|(h>x)))|~(n)))
| 1 | 0 | 0 | 0 |
entailment
|
((t&(q|g))&(~((g>(h&(t&h))))>t))
|
((~(k)&x)|((q>(k|(h>x)))|~(n)))
| 0 | 1 | 0 | 0 |
not entailment
|
(x&a)
|
((k&(t>n))>(~(t)>(x>q)))
| 0 | 0 | 0 | 0 |
not entailment
|
(a>((a&g)&l))
|
((~(a)|(l|k))&~(~(((~(g)|g)|~(a)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(x)|t)&(t&(l>a)))
|
((k>t)|q)
| 1 | 1 | 0 | 0 |
entailment
|
(a>((a&g)&l))
|
((k>t)|q)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(x)|t)&(t&(l>a)))
|
((~(a)|(l|k))&~(~(((~(g)|g)|~(a)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(k>t))
|
~(~((t|(h|(g&q)))))
| 1 | 0 | 0 | 0 |
entailment
|
(n&x)
|
((k|(a|n))&x)
| 1 | 0 | 0 | 0 |
entailment
|
(t&(k>t))
|
((k|(a|n))&x)
| 0 | 0 | 0 | 0 |
not entailment
|
(n&x)
|
~(~((t|(h|(g&q)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k&t)&q)&x)
|
(((h&x)|(n&g))|(k&(k|q)))
| 1 | 0 | 0 | 0 |
entailment
|
(((a&x)|k)&~(~((n&~(h)))))
|
(t>(k>(~((((a&a)&t)&(g&x)))>n)))
| 1 | 0 | 0 | 0 |
entailment
|
(((k&t)&q)&x)
|
(t>(k>(~((((a&a)&t)&(g&x)))>n)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a&x)|k)&~(~((n&~(h)))))
|
(((h&x)|(n&g))|(k&(k|q)))
| 0 | 1 | 0 | 0 |
not entailment
|
((h&(a|((t>x)>h)))&n)
|
(((~(k)|x)>((g>h)|t))|t)
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(l)>~((h>(q&~(h)))))|a))
|
~(~((l>a)))
| 1 | 1 | 1 | 0 |
entailment
|
((h&(a|((t>x)>h)))&n)
|
~(~((l>a)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(l)>~((h>(q&~(h)))))|a))
|
(((~(k)|x)>((g>h)|t))|t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((h|~(q))&((t|l)>~(n))))
|
(((~((n|l))>(a|q))|(q&~(h)))|(h&x))
| 1 | 0 | 0 | 0 |
entailment
|
(t|~(~(a)))
|
(t|a)
| 1 | 1 | 1 | 1 |
entailment
|
~(((h|~(q))&((t|l)>~(n))))
|
(t|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(t|~(~(a)))
|
(((~((n|l))>(a|q))|(q&~(h)))|(h&x))
| 0 | 0 | 0 | 0 |
not entailment
|
(s>c)
|
~(((y&~(c))&s))
| 1 | 0 | 0 | 0 |
entailment
|
(r|((((c&s)&t)|r)&((t|t)|r)))
|
(~(~((c|r)))&((c>s)|~(~(r))))
| 1 | 0 | 1 | 0 |
entailment
|
(s>c)
|
(~(~((c|r)))&((c>s)|~(~(r))))
| 0 | 0 | 0 | 0 |
not entailment
|
(r|((((c&s)&t)|r)&((t|t)|r)))
|
~(((y&~(c))&s))
| 0 | 1 | 0 | 0 |
not entailment
|
~((r>(y|s)))
|
((s|(s|r))>((c|(c|s))>((y|y)|r)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((t>(~(s)&c))&(c|t))|((c&y)|~(s))))
|
((~(s)>((s>((s&t)>s))&t))|~((r&c)))
| 1 | 1 | 0 | 0 |
entailment
|
~((r>(y|s)))
|
((~(s)>((s>((s&t)>s))&t))|~((r&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((t>(~(s)&c))&(c|t))|((c&y)|~(s))))
|
((s|(s|r))>((c|(c|s))>((y|y)|r)))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&t)
|
(((c>y)>y)|(r&((s>((t|y)>y))&(s&y))))
| 1 | 0 | 0 | 0 |
entailment
|
(((r|(t>t))>c)>(~((c&c))&s))
|
(r|~(c))
| 1 | 1 | 1 | 1 |
entailment
|
(c&t)
|
(r|~(c))
| 0 | 0 | 0 | 0 |
not entailment
|
(((r|(t>t))>c)>(~((c&c))&s))
|
(((c>y)>y)|(r&((s>((t|y)>y))&(s&y))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((r&((r&s)&y))))
|
(s>~((r>~((c>r)))))
| 1 | 1 | 0 | 0 |
entailment
|
(c&s)
|
(((s&r)>s)>c)
| 1 | 0 | 0 | 0 |
entailment
|
~(~((r&((r&s)&y))))
|
(((s&r)>s)>c)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&s)
|
(s>~((r>~((c>r)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((c>(s&t))>t)&(y>~(r)))>y)
|
(t>y)
| 1 | 1 | 1 | 1 |
entailment
|
(c&r)
|
((s>(s&(r|s)))&r)
| 1 | 0 | 0 | 0 |
entailment
|
((((c>(s&t))>t)&(y>~(r)))>y)
|
((s>(s&(r|s)))&r)
| 0 | 1 | 1 | 0 |
not entailment
|
(c&r)
|
(t>y)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((r&t)|~(~((~(c)|t)))))))
|
(~(~(((s|r)&c)))|~(r))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((t&(c|t))&(~((t&s))>(y|y)))))
|
((c>(r>t))|(y&y))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(((r&t)|~(~((~(c)|t)))))))
|
((c>(r>t))|(y&y))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((t&(c|t))&(~((t&s))>(y|y)))))
|
(~(~(((s|r)&c)))|~(r))
| 0 | 1 | 0 | 0 |
not entailment
|
((t|((~(t)|c)|(r>(y|r))))>(((y&r)|r)|r))
|
(~(((s&~(((s&t)>y)))|r))>(t|r))
| 1 | 1 | 0 | 0 |
entailment
|
(s&c)
|
(t>s)
| 1 | 1 | 0 | 0 |
entailment
|
((t|((~(t)|c)|(r>(y|r))))>(((y&r)|r)|r))
|
(t>s)
| 0 | 1 | 0 | 0 |
not entailment
|
(s&c)
|
(~(((s&~(((s&t)>y)))|r))>(t|r))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((r>c))&((s|t)|(y|y)))
|
~(~(((c|(c|~((~((t>y))|r))))>~(c))))
| 1 | 0 | 1 | 0 |
entailment
|
((y&y)&r)
|
((~((s&(y|c)))&c)|(s|y))
| 1 | 0 | 0 | 0 |
entailment
|
(~((r>c))&((s|t)|(y|y)))
|
((~((s&(y|c)))&c)|(s|y))
| 0 | 1 | 1 | 0 |
not entailment
|
((y&y)&r)
|
~(~(((c|(c|~((~((t>y))|r))))>~(c))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r&(s&y))>(c&((s|((t>y)&t))|(c|c)))))
|
(~(r)|(~(t)>~((((c|r)|c)>~(s)))))
| 1 | 1 | 1 | 0 |
entailment
|
((y|y)>((s|t)&~(y)))
|
(y>~((t|y)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((r&(s&y))>(c&((s|((t>y)&t))|(c|c)))))
|
(y>~((t|y)))
| 0 | 1 | 1 | 1 |
not entailment
|
((y|y)>((s|t)&~(y)))
|
(~(r)|(~(t)>~((((c|r)|c)>~(s)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((t&s))&~(((r&r)>y)))
|
((~(((c>(c>s))>(c|r)))&~(t))>~((y|t)))
| 1 | 0 | 0 | 0 |
entailment
|
(y&s)
|
(y|((s&s)|y))
| 1 | 0 | 1 | 1 |
entailment
|
(~((t&s))&~(((r&r)>y)))
|
(y|((s&s)|y))
| 0 | 1 | 1 | 0 |
not entailment
|
(y&s)
|
((~(((c>(c>s))>(c|r)))&~(t))>~((y|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
((s|r)&~(((c&(s>r))>(((c>(r|r))&c)&y))))
|
((~(((y>(y>s))&r))|((c&c)&t))>c)
| 1 | 1 | 0 | 0 |
entailment
|
(t&y)
|
(((t|s)|(r>t))>y)
| 1 | 0 | 0 | 0 |
entailment
|
((s|r)&~(((c&(s>r))>(((c>(r|r))&c)&y))))
|
(((t|s)|(r>t))>y)
| 0 | 1 | 0 | 0 |
not entailment
|
(t&y)
|
((~(((y>(y>s))&r))|((c&c)&t))>c)
| 0 | 0 | 0 | 0 |
not entailment
|
(t|c)
|
((y|(c|~(s)))|((c&s)|(s&~(~(t)))))
| 1 | 0 | 0 | 0 |
entailment
|
((s&r)&~((c&((~((s&c))&r)&c))))
|
((~(y)>~((r|r)))|(s|s))
| 1 | 1 | 0 | 0 |
entailment
|
(t|c)
|
((~(y)>~((r|r)))|(s|s))
| 0 | 0 | 0 | 0 |
not entailment
|
((s&r)&~((c&((~((s&c))&r)&c))))
|
((y|(c|~(s)))|((c&s)|(s&~(~(t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&(t&t))
|
((((s|y)>(r|t))|(t>~(y)))&((s&t)|r))
| 1 | 0 | 0 | 0 |
entailment
|
(t&~((t&c)))
|
~(((t&~(~(~(t))))|(c&t)))
| 1 | 0 | 1 | 1 |
entailment
|
(s&(t&t))
|
~(((t&~(~(~(t))))|(c&t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&~((t&c)))
|
((((s|y)>(r|t))|(t>~(y)))&((s&t)|r))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(t|t))
|
(t|((p|t)>((p&p)>(t&(t>t)))))
| 1 | 0 | 0 | 0 |
entailment
|
((p|p)|((t>t)>(~(((t&p)>t))&(t&(p|p)))))
|
(t>~(((t|t)&(~(t)|~((p&(t>p)))))))
| 1 | 1 | 1 | 1 |
entailment
|
(t&(t|t))
|
(t>~(((t|t)&(~(t)|~((p&(t>p)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((p|p)|((t>t)>(~(((t&p)>t))&(t&(p|p)))))
|
(t|((p|t)>((p&p)>(t&(t>t)))))
| 0 | 1 | 1 | 0 |
not entailment
|
((t&t)&(p|(p|t)))
|
(t|~(~((t|((t>p)&t)))))
| 1 | 0 | 1 | 0 |
entailment
|
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