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 |
|---|---|---|---|---|---|---|
(g&g) | (g|(((v>(n&g))>z)|e)) | 1 | 0 | 0 | 0 | entailment |
(((k>e)|n)>~((k>(z>(k&g))))) | (g|(((v>(n&g))>z)|e)) | 0 | 1 | 0 | 0 | not entailment |
(g&g) | (n>k) | 0 | 1 | 0 | 0 | not entailment |
((~(e)&~(v))&((~(z)>v)&k)) | (~(((v>e)&e))|k) | 1 | 1 | 1 | 1 | entailment |
(g&v) | (~(((v>e)&e))|k) | 0 | 0 | 0 | 0 | not entailment |
((~(e)&~(v))&((~(z)>v)&k)) | (g|v) | 0 | 1 | 0 | 0 | not entailment |
((~(e)&(v>g))&k) | (k|(k|k)) | 1 | 1 | 1 | 1 | entailment |
((k|z)&g) | ~(~(((g&k)|((n>v)>z)))) | 1 | 0 | 0 | 0 | entailment |
((~(e)&(v>g))&k) | ~(~(((g&k)|((n>v)>z)))) | 0 | 0 | 0 | 0 | not entailment |
((k|z)&g) | (k|(k|k)) | 0 | 1 | 1 | 1 | not entailment |
((g&n)|~((g>v))) | (((v&n)>(n>g))|(e>z)) | 1 | 0 | 0 | 0 | entailment |
~((~(((v>g)>(z>z)))|((e&k)>~((g|e))))) | (n>k) | 1 | 1 | 0 | 0 | entailment |
((g&n)|~((g>v))) | (n>k) | 0 | 1 | 0 | 0 | not entailment |
~((~(((v>g)>(z>z)))|((e&k)>~((g|e))))) | (((v&n)>(n>g))|(e>z)) | 0 | 1 | 0 | 0 | not entailment |
(z&g) | ((g|g)>((g&z)|k)) | 1 | 0 | 0 | 0 | entailment |
~(((~(((n>(e&k))&n))&(z|e))|n)) | (~(~(~(n)))|(z&~(~((g&k))))) | 1 | 1 | 0 | 0 | entailment |
(z&g) | (~(~(~(n)))|(z&~(~((g&k))))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(((n>(e&k))&n))&(z|e))|n)) | ((g|g)>((g&z)|k)) | 0 | 1 | 0 | 0 | not entailment |
~((((e>(v>k))>k)|~(g))) | ~(k) | 1 | 1 | 1 | 1 | entailment |
(~((v|(z|n)))|~((n>n))) | (~((v&g))&((~(~(g))|z)>~((v&z)))) | 1 | 0 | 0 | 0 | entailment |
~((((e>(v>k))>k)|~(g))) | (~((v&g))&((~(~(g))|z)>~((v&z)))) | 0 | 0 | 0 | 0 | not entailment |
(~((v|(z|n)))|~((n>n))) | ~(k) | 0 | 1 | 0 | 0 | not entailment |
(v>g) | (g|(v>~(((e&v)&((g>e)|(~(z)&z)))))) | 1 | 0 | 0 | 0 | entailment |
~((~(n)>(~(~(k))>~(((g&z)>e))))) | (k|(((k>~((g>g)))&v)&(g|g))) | 1 | 1 | 0 | 0 | entailment |
(v>g) | (k|(((k>~((g>g)))&v)&(g|g))) | 0 | 0 | 0 | 0 | not entailment |
~((~(n)>(~(~(k))>~(((g&z)>e))))) | (g|(v>~(((e&v)&((g>e)|(~(z)&z)))))) | 0 | 1 | 0 | 0 | not entailment |
(v&k) | (((z>(~(z)>(e|(e>(k|z)))))>(k>z))>(z|g)) | 1 | 0 | 0 | 0 | entailment |
((z>(n&n))&~(k)) | (~((n|(n&n)))|(z|~(((k&e)&(g|e))))) | 1 | 0 | 0 | 0 | entailment |
(v&k) | (~((n|(n&n)))|(z|~(((k&e)&(g|e))))) | 0 | 0 | 0 | 0 | not entailment |
((z>(n&n))&~(k)) | (((z>(~(z)>(e|(e>(k|z)))))>(k>z))>(z|g)) | 0 | 0 | 0 | 0 | not entailment |
~((v>~(((e&g)>n)))) | ~(~(((~((n&(g>z)))&n)>v))) | 1 | 0 | 0 | 0 | entailment |
~(((~((((e&(g>z))>(g|e))>~(k)))&e)|z)) | ~((((~(k)&(~(e)&(k&z)))&(g>v))|z)) | 1 | 1 | 0 | 0 | entailment |
~((v>~(((e&g)>n)))) | ~((((~(k)&(~(e)&(k&z)))&(g>v))|z)) | 0 | 0 | 0 | 0 | not entailment |
~(((~((((e&(g>z))>(g|e))>~(k)))&e)|z)) | ~(~(((~((n&(g>z)))&n)>v))) | 0 | 1 | 0 | 0 | not entailment |
((k>(z>(k>g)))>(((g|k)&n)&k)) | (g>(v>k)) | 1 | 1 | 0 | 0 | entailment |
(~(((~(k)&e)&k))>~((g>z))) | ((~((g|k))|((k>n)|g))|~((e|(e|e)))) | 1 | 0 | 0 | 0 | entailment |
((k>(z>(k>g)))>(((g|k)&n)&k)) | ((~((g|k))|((k>n)|g))|~((e|(e|e)))) | 0 | 0 | 0 | 0 | not entailment |
(~(((~(k)&e)&k))>~((g>z))) | (g>(v>k)) | 0 | 1 | 0 | 0 | not entailment |
((p|(n>s))&o) | (((((p&p)&s)|j)|n)|o) | 1 | 0 | 0 | 0 | entailment |
~(j) | (j>((j>j)>((n>p)>s))) | 1 | 0 | 0 | 0 | entailment |
((p|(n>s))&o) | (j>((j>j)>((n>p)>s))) | 0 | 0 | 0 | 0 | not entailment |
~(j) | (((((p&p)&s)|j)|n)|o) | 0 | 0 | 0 | 0 | not entailment |
(n&n) | (j>(n|o)) | 1 | 0 | 0 | 0 | entailment |
~((p|((o>s)>o))) | (~(p)|~(j)) | 1 | 1 | 0 | 0 | entailment |
(n&n) | (~(p)|~(j)) | 0 | 0 | 0 | 0 | not entailment |
~((p|((o>s)>o))) | (j>(n|o)) | 0 | 1 | 0 | 0 | not entailment |
((n&(j|o))&(~(~((i>s)))|(n>j))) | (~(((i>p)>~((s&i))))|n) | 1 | 1 | 0 | 0 | entailment |
~((~(~((s&s)))|~(~(i)))) | (~(s)|(s>(n>~((o>i))))) | 1 | 1 | 0 | 0 | entailment |
((n&(j|o))&(~(~((i>s)))|(n>j))) | (~(s)|(s>(n>~((o>i))))) | 0 | 1 | 1 | 0 | not entailment |
~((~(~((s&s)))|~(~(i)))) | (~(((i>p)>~((s&i))))|n) | 0 | 1 | 0 | 0 | not entailment |
~(((s>~(p))|(o&o))) | (~((~((~(i)>i))>(n|s)))>(p|n)) | 1 | 0 | 0 | 0 | entailment |
(j>~(((o&p)>((j>j)|(j|s))))) | ((j>(p>o))|o) | 1 | 1 | 1 | 0 | entailment |
~(((s>~(p))|(o&o))) | ((j>(p>o))|o) | 0 | 1 | 0 | 0 | not entailment |
(j>~(((o&p)>((j>j)|(j|s))))) | (~((~((~(i)>i))>(n|s)))>(p|n)) | 0 | 0 | 0 | 0 | not entailment |
(~(~((j|p)))>(p&s)) | (((s>n)>i)>(j>((p&n)|s))) | 1 | 0 | 0 | 0 | entailment |
~(((~((p|j))|p)|((j|(s>p))>((p|n)>s)))) | ((n|j)|s) | 1 | 1 | 1 | 0 | entailment |
(~(~((j|p)))>(p&s)) | ((n|j)|s) | 0 | 1 | 0 | 0 | not entailment |
~(((~((p|j))|p)|((j|(s>p))>((p|n)>s)))) | (((s>n)>i)>(j>((p&n)|s))) | 0 | 1 | 0 | 0 | not entailment |
~(((o>i)|((i|p)&p))) | ((o>(n&((p&~(s))&s)))|(~(i)|n)) | 1 | 0 | 0 | 0 | entailment |
(i&(j&s)) | (((j|n)|(n&j))|(s&(o>(((n>i)>(i|s))&s)))) | 1 | 0 | 0 | 0 | entailment |
~(((o>i)|((i|p)&p))) | (((j|n)|(n&j))|(s&(o>(((n>i)>(i|s))&s)))) | 0 | 0 | 0 | 0 | not entailment |
(i&(j&s)) | ((o>(n&((p&~(s))&s)))|(~(i)|n)) | 0 | 0 | 0 | 0 | not entailment |
(n&((s|o)|((p|j)>s))) | ((o>(j&n))|(i|n)) | 1 | 1 | 0 | 0 | entailment |
(((p|o)|p)&s) | ~((((s|(p>j))&~((~((p|s))>o)))&i)) | 1 | 0 | 0 | 0 | entailment |
(n&((s|o)|((p|j)>s))) | ~((((s|(p>j))&~((~((p|s))>o)))&i)) | 0 | 0 | 0 | 0 | not entailment |
(((p|o)|p)&s) | ((o>(j&n))|(i|n)) | 0 | 0 | 0 | 0 | not entailment |
~(((j|n)>(j|o))) | ((~(((s&o)>j))>~((i|n)))>(n|j)) | 1 | 0 | 0 | 0 | entailment |
~((~(((p&o)|o))&((o|i)>(o>j)))) | (~((~(j)>o))>(p|o)) | 1 | 1 | 1 | 0 | entailment |
~(((j|n)>(j|o))) | (~((~(j)>o))>(p|o)) | 0 | 0 | 0 | 0 | not entailment |
~((~(((p&o)|o))&((o|i)>(o>j)))) | ((~(((s&o)>j))>~((i|n)))>(n|j)) | 0 | 1 | 0 | 0 | not entailment |
(~(j)&n) | ((((o|n)&(i|o))&(~(~(o))>~(n)))>n) | 1 | 0 | 0 | 0 | entailment |
(s&((o>n)>((p&i)|(((s|(s&s))&n)>o)))) | ((~(~(s))|j)|((o>(s>~(j)))&p)) | 1 | 1 | 0 | 0 | entailment |
(~(j)&n) | ((~(~(s))|j)|((o>(s>~(j)))&p)) | 0 | 0 | 0 | 0 | not entailment |
(s&((o>n)>((p&i)|(((s|(s&s))&n)>o)))) | ((((o|n)&(i|o))&(~(~(o))>~(n)))>n) | 0 | 1 | 1 | 0 | not entailment |
~(((~(((n|(j&o))&s))>j)>(n>(s&s)))) | (~((p&s))|((i|p)>(n&i))) | 1 | 1 | 0 | 0 | entailment |
(o|p) | ((s|p)|((~(p)>i)>(i&o))) | 1 | 0 | 0 | 0 | entailment |
~(((~(((n|(j&o))&s))>j)>(n>(s&s)))) | ((s|p)|((~(p)>i)>(i&o))) | 0 | 1 | 0 | 0 | not entailment |
(o|p) | (~((p&s))|((i|p)>(n&i))) | 0 | 0 | 0 | 0 | not entailment |
(p&n) | ((n&(p|(n|n)))|(i&p)) | 1 | 0 | 0 | 0 | entailment |
((~(~((i>n)))&s)|((i&i)&s)) | (~(((n>j)&~((j&(s&i)))))>s) | 1 | 1 | 0 | 0 | entailment |
(p&n) | (~(((n>j)&~((j&(s&i)))))>s) | 0 | 0 | 0 | 0 | not entailment |
((~(~((i>n)))&s)|((i&i)&s)) | ((n&(p|(n|n)))|(i&p)) | 0 | 1 | 0 | 0 | not entailment |
(~(((s&((i>s)>i))|~(~(~(i)))))&j) | (((s|o)&j)|(i|~(s))) | 1 | 1 | 0 | 0 | entailment |
((s&(p>s))&((n&p)&(o&s))) | ~((~((n&i))&(o&i))) | 1 | 1 | 0 | 0 | entailment |
(~(((s&((i>s)>i))|~(~(~(i)))))&j) | ~((~((n&i))&(o&i))) | 0 | 1 | 0 | 0 | not entailment |
((s&(p>s))&((n&p)&(o&s))) | (((s|o)&j)|(i|~(s))) | 0 | 1 | 0 | 0 | not entailment |
((n&p)&(((~(n)&p)>j)&(j&o))) | (n|((s&(i|p))&((n|o)>p))) | 1 | 1 | 0 | 0 | entailment |
~(i) | ~(((i>p)>(i&j))) | 1 | 0 | 0 | 0 | entailment |
((n&p)&(((~(n)&p)>j)&(j&o))) | ~(((i>p)>(i&j))) | 0 | 1 | 0 | 0 | not entailment |
~(i) | (n|((s&(i|p))&((n|o)>p))) | 0 | 0 | 0 | 0 | not entailment |
(i>~((s|j))) | ((s>(o>(o>p)))|(~((s&(p|n)))>~((i|i)))) | 1 | 0 | 0 | 0 | entailment |
~(~(((((p&i)|p)>j)&(i&(s|n))))) | (((s|j)>i)>(~(n)>i)) | 1 | 1 | 1 | 1 | entailment |
(i>~((s|j))) | (((s|j)>i)>(~(n)>i)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((((p&i)|p)>j)&(i&(s|n))))) | ((s>(o>(o>p)))|(~((s&(p|n)))>~((i|i)))) | 0 | 0 | 0 | 0 | not entailment |
(~(p)|i) | (~(~(~((j&s))))>(~((p>(i&p)))>(o>j))) | 1 | 0 | 0 | 0 | entailment |
(p&((((o&s)>j)&(s>n))&o)) | ((o&n)|(~((p&i))>(n>(p&j)))) | 1 | 0 | 0 | 0 | entailment |
(~(p)|i) | ((o&n)|(~((p&i))>(n>(p&j)))) | 0 | 0 | 0 | 0 | not entailment |
(p&((((o&s)>j)&(s>n))&o)) | (~(~(~((j&s))))>(~((p>(i&p)))>(o>j))) | 0 | 0 | 0 | 0 | not entailment |
((n>~((i&(j>(i|j)))))>~((p>p))) | (((n>j)|(n>i))|(p&s)) | 1 | 1 | 0 | 0 | entailment |
~(~(((s>(o&(i|j)))&~((p>o))))) | ((~(((s>n)&s))|j)&p) | 1 | 1 | 0 | 0 | entailment |
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