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 |
|---|---|---|---|---|---|---|
~(~((q&l)))
|
(((h>e)>((h&q)&(e>o)))>q)
| 1 | 0 | 0 | 0 |
entailment
|
((b&l)&(a|q))
|
((((l|b)&b)|h)|(~(~((b>e)))>~(~(a))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((q&l)))
|
((((l|b)&b)|h)|(~(~((b>e)))>~(~(a))))
| 0 | 0 | 0 | 0 |
not entailment
|
((b&l)&(a|q))
|
(((h>e)>((h&q)&(e>o)))>q)
| 0 | 0 | 0 | 0 |
not entailment
|
((((e&q)&l)&(~(h)|h))&(q&((h&h)|b)))
|
(~((~((h>~((a&b))))&o))>(l|q))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((b>a)&(q>o)))|l))
|
(q>o)
| 1 | 1 | 1 | 1 |
entailment
|
((((e&q)&l)&(~(h)|h))&(q&((h&h)|b)))
|
(q>o)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((b>a)&(q>o)))|l))
|
(~((~((h>~((a&b))))&o))>(l|q))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h>(a|e))&o)&(h>o))
|
(q|o)
| 1 | 1 | 0 | 0 |
entailment
|
~(l)
|
((l&q)>((h>o)&h))
| 1 | 0 | 0 | 0 |
entailment
|
(((h>(a|e))&o)&(h>o))
|
((l&q)>((h>o)&h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(l)
|
(q|o)
| 0 | 1 | 0 | 0 |
not entailment
|
(((h|((b>l)|h))&a)&e)
|
((~((h|((o&l)>b)))|a)|(o|e))
| 1 | 0 | 0 | 0 |
entailment
|
(l&q)
|
(o|~((~(l)&e)))
| 1 | 0 | 0 | 0 |
entailment
|
(((h|((b>l)|h))&a)&e)
|
(o|~((~(l)&e)))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&q)
|
((~((h|((o&l)>b)))|a)|(o|e))
| 0 | 0 | 0 | 0 |
not entailment
|
((h&((a>a)>e))&((o>(e|o))&(l&~(o))))
|
~(~(((a>~(q))|((l>~((b>(o|q))))>o))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h|b)&b))
|
((b&((l&a)&e))>~(((a>o)>h)))
| 1 | 0 | 0 | 0 |
entailment
|
((h&((a>a)>e))&((o>(e|o))&(l&~(o))))
|
((b&((l&a)&e))>~(((a>o)>h)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((h|b)&b))
|
~(~(((a>~(q))|((l>~((b>(o|q))))>o))))
| 0 | 0 | 0 | 0 |
not entailment
|
((o|(l&a))&~((((a>a)|q)>~(~(e)))))
|
~(e)
| 1 | 1 | 1 | 1 |
entailment
|
~(h)
|
(~(((e>a)|e))|((q&h)>e))
| 1 | 0 | 0 | 0 |
entailment
|
((o|(l&a))&~((((a>a)|q)>~(~(e)))))
|
(~(((e>a)|e))|((q&h)>e))
| 0 | 1 | 0 | 0 |
not entailment
|
~(h)
|
~(e)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((k|b)|k)|n))&((b|((n|y)|y))&(v&y)))
|
(~((n&y))|(~(k)>k))
| 1 | 1 | 1 | 0 |
entailment
|
~(((o&v)>(~((n&(b&o)))|k)))
|
(n&(~(((o&b)>v))>(y&n)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((((k|b)|k)|n))&((b|((n|y)|y))&(v&y)))
|
(n&(~(((o&b)>v))>(y&n)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((o&v)>(~((n&(b&o)))|k)))
|
(~((n&y))|(~(k)>k))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~(~(o))|o)))
|
(v|(o|((v|~(n))|(~(n)&(~(k)&m)))))
| 1 | 0 | 0 | 0 |
entailment
|
(n&~(y))
|
~(~(n))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((~(~(o))|o)))
|
~(~(n))
| 0 | 1 | 0 | 0 |
not entailment
|
(n&~(y))
|
(v|(o|((v|~(n))|(~(n)&(~(k)&m)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&k)
|
~(((k|v)>~(o)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((o&(y&(m>v)))|n))&m)&y)
|
(m>((o>(b>~((k&b))))>~(n)))
| 1 | 1 | 0 | 0 |
entailment
|
(o&k)
|
(m>((o>(b>~((k&b))))>~(n)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((o&(y&(m>v)))|n))&m)&y)
|
~(((k|v)>~(o)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((v|((n|m)|k)))
|
((y&((b>v)&n))>~(((v&k)&n)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((o&y)|(k|y))>(b&~(v))))&(b&y))
|
((~((v|m))>(m&n))&~(~((~((k&v))|v))))
| 1 | 0 | 0 | 0 |
entailment
|
~((v|((n|m)|k)))
|
((~((v|m))>(m&n))&~(~((~((k&v))|v))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((((o&y)|(k|y))>(b&~(v))))&(b&y))
|
((y&((b>v)&n))>~(((v&k)&n)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((b|y))
|
(~((((v&m)|y)>n))>(k>v))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((m>o)|n)&n)|o))
|
(n>(k&k))
| 1 | 1 | 0 | 0 |
entailment
|
~((b|y))
|
(n>(k&k))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((m>o)|n)&n)|o))
|
(~((((v&m)|y)>n))>(k>v))
| 0 | 0 | 0 | 0 |
not entailment
|
((n&m)&y)
|
(m|~((k|m)))
| 1 | 0 | 0 | 0 |
entailment
|
((y|k)&~((o|n)))
|
(~((o&y))|((o>k)|v))
| 1 | 0 | 0 | 0 |
entailment
|
((n&m)&y)
|
(~((o&y))|((o>k)|v))
| 0 | 0 | 0 | 0 |
not entailment
|
((y|k)&~((o|n)))
|
(m|~((k|m)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((v|(~(k)>k)))
|
~(~(((v>~(m))|((o>n)>b))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((o|b)))
|
(o|b)
| 1 | 1 | 1 | 1 |
entailment
|
~((v|(~(k)>k)))
|
(o|b)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((o|b)))
|
~(~(((v>~(m))|((o>n)>b))))
| 0 | 0 | 0 | 0 |
not entailment
|
((v&(b&m))&k)
|
(((y&o)>k)|((k|(n>m))&o))
| 1 | 0 | 0 | 0 |
entailment
|
((n>n)&((n&n)&o))
|
((k>n)>(o&o))
| 1 | 1 | 0 | 0 |
entailment
|
((v&(b&m))&k)
|
((k>n)>(o&o))
| 0 | 1 | 0 | 0 |
not entailment
|
((n>n)&((n&n)&o))
|
(((y&o)>k)|((k|(n>m))&o))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((k|n)&(k&y)))&(v&k))&o)
|
((k|~(m))&((v>((k>y)|(k&o)))&o))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(n)|y))&(k>~(~(((b>b)&v)))))
|
(~(((~(((b&n)|m))&k)&~(o)))>(b|n))
| 1 | 1 | 0 | 0 |
entailment
|
((~(((k|n)&(k&y)))&(v&k))&o)
|
(~(((~(((b&n)|m))&k)&~(o)))>(b|n))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(n)|y))&(k>~(~(((b>b)&v)))))
|
((k|~(m))&((v>((k>y)|(k&o)))&o))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((y|(o&k)))&(b&((m>b)|b)))
|
(((n&k)>(o>~(~(~(~(b))))))|(~(k)&v))
| 1 | 0 | 0 | 0 |
entailment
|
((y|(((b&m)&n)|k))&(n&(b|y)))
|
(n|((n|m)>y))
| 1 | 1 | 1 | 0 |
entailment
|
(~((y|(o&k)))&(b&((m>b)|b)))
|
(n|((n|m)>y))
| 0 | 1 | 0 | 0 |
not entailment
|
((y|(((b&m)&n)|k))&(n&(b|y)))
|
(((n&k)>(o>~(~(~(~(b))))))|(~(k)&v))
| 0 | 0 | 0 | 0 |
not entailment
|
((n|(y&(y>~(k))))&n)
|
(~(b)>(n|v))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((y>(~(k)>o))|n))|(((m>b)>b)&(m&o)))
|
((k>n)>(o>m))
| 1 | 1 | 1 | 0 |
entailment
|
((n|(y&(y>~(k))))&n)
|
((k>n)>(o>m))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((y>(~(k)>o))|n))|(((m>b)>b)&(m&o)))
|
(~(b)>(n|v))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(o)|(o&m))
|
((m|k)|(~(o)|(n|k)))
| 1 | 0 | 0 | 0 |
entailment
|
(y&(v&((~((o>y))|(n|b))&(m>~(n)))))
|
(y|o)
| 1 | 1 | 1 | 1 |
entailment
|
(~(o)|(o&m))
|
(y|o)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&(v&((~((o>y))|(n|b))&(m>~(n)))))
|
((m|k)|(~(o)|(n|k)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((y&m))|~(o)))
|
(y|~(v))
| 1 | 1 | 0 | 0 |
entailment
|
~(((v|m)>(n>y)))
|
((v&n)>~((((y&y)|(((n&b)&v)&y))&(k>n))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((y&m))|~(o)))
|
((v&n)>~((((y&y)|(((n&b)&v)&y))&(k>n))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((v|m)>(n>y)))
|
(y|~(v))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((m&k)))
|
(k|y)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((m&v)>n))&b)
|
((~(n)&v)|(((~((~(m)>m))&(k&m))|m)&o))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((m&k)))
|
((~(n)&v)|(((~((~(m)>m))&(k&m))|m)&o))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((m&v)>n))&b)
|
(k|y)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((n>v))))
|
(b>((m|(~(v)&n))|k))
| 1 | 0 | 0 | 0 |
entailment
|
~((((m|v)>~((y>m)))|((n&v)&k)))
|
(m|((v|b)|y))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((n>v))))
|
(m|((v|b)|y))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((m|v)>~((y>m)))|((n&v)&k)))
|
(b>((m|(~(v)&n))|k))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(b)>n)&((((~(n)&v)>b)>~((k>o)))&v))
|
((m&o)>(k&(n|n)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~((y|b)))>(o|v))&~(~(o)))
|
(~(~(v))>(o|y))
| 1 | 1 | 1 | 0 |
entailment
|
((~(b)>n)&((((~(n)&v)>b)>~((k>o)))&v))
|
(~(~(v))>(o|y))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~((y|b)))>(o|v))&~(~(o)))
|
((m&o)>(k&(n|n)))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&(v&o))
|
~(((k>(k&n))&~((~(n)|v))))
| 1 | 0 | 0 | 0 |
entailment
|
(m&n)
|
(((~(v)&k)>~((~(m)&(~(b)>y))))>n)
| 1 | 0 | 0 | 0 |
entailment
|
(k&(v&o))
|
(((~(v)&k)>~((~(m)&(~(b)>y))))>n)
| 0 | 0 | 0 | 0 |
not entailment
|
(m&n)
|
~(((k>(k&n))&~((~(n)|v))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((k>b)&(o&k))&v)&(n>m))
|
(((y&o)>((k&k)>~(~(((v|~(k))>o)))))>b)
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(~((m&(n|o)))))&(m|n))&o)
|
((n&(m>b))|~((~((y&n))|b)))
| 1 | 1 | 0 | 0 |
entailment
|
((((k>b)&(o&k))&v)&(n>m))
|
((n&(m>b))|~((~((y&n))|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(~((m&(n|o)))))&(m|n))&o)
|
(((y&o)>((k&k)>~(~(((v|~(k))>o)))))>b)
| 0 | 0 | 0 | 0 |
not entailment
|
((z>l)>z)
|
((l>z)|((z&l)&(((z>b)|(b|(n&b)))&l)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(b))>(b>~(b)))
|
~((~(~((l>((b|n)>~(b)))))>b))
| 1 | 0 | 0 | 0 |
entailment
|
((z>l)>z)
|
~((~(~((l>((b|n)>~(b)))))>b))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(b))>(b>~(b)))
|
((l>z)|((z&l)&(((z>b)|(b|(n&b)))&l)))
| 0 | 0 | 0 | 0 |
not entailment
|
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