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 |
|---|---|---|---|---|---|---|
~((e|(q>~(~((b>t)))))) | ((((q&~(g))>e)|k)|c) | 0 | 1 | 0 | 0 | not entailment |
((e&((q>c)|(c&(g&c))))&~(q)) | ((e|((y|g)>q))&(e|c)) | 1 | 1 | 0 | 0 | entailment |
~((((g&z)&c)>(b&z))) | ((((e&~((c&g)))|t)&t)|~(~(g))) | 1 | 0 | 0 | 0 | entailment |
((e&((q>c)|(c&(g&c))))&~(q)) | ((((e&~((c&g)))|t)&t)|~(~(g))) | 0 | 0 | 0 | 0 | not entailment |
~((((g&z)&c)>(b&z))) | ((e|((y|g)>q))&(e|c)) | 0 | 1 | 0 | 0 | not entailment |
((((c>~(b))&b)&((z&~((b|q)))&(b>t)))|g) | (~((g&(~(q)|((c|e)&z))))>q) | 1 | 1 | 0 | 0 | entailment |
~(((~(y)|(e&(t&e)))>(q|g))) | ((y>(q&b))>~(g)) | 1 | 1 | 0 | 0 | entailment |
((((c>~(b))&b)&((z&~((b|q)))&(b>t)))|g) | ((y>(q&b))>~(g)) | 0 | 1 | 0 | 0 | not entailment |
~(((~(y)|(e&(t&e)))>(q|g))) | (~((g&(~(q)|((c|e)&z))))>q) | 0 | 1 | 0 | 0 | not entailment |
((((t&(y&t))>k)&~(~(g)))&~((g>c))) | ((~(q)|t)|g) | 1 | 1 | 0 | 0 | entailment |
(q&(z|~((y>b)))) | ((y>~(y))|q) | 1 | 1 | 1 | 0 | entailment |
((((t&(y&t))>k)&~(~(g)))&~((g>c))) | ((y>~(y))|q) | 0 | 1 | 0 | 0 | not entailment |
(q&(z|~((y>b)))) | ((~(q)|t)|g) | 0 | 1 | 0 | 0 | not entailment |
(z&(~((c&z))>~((((y&g)>e)>(g>g))))) | (e>c) | 1 | 1 | 1 | 0 | entailment |
~((~((e&(e>g)))>k)) | ((((~((g>k))|(b>y))&e)|(t>b))|(k>(t&e))) | 1 | 0 | 0 | 0 | entailment |
(z&(~((c&z))>~((((y&g)>e)>(g>g))))) | ((((~((g>k))|(b>y))&e)|(t>b))|(k>(t&e))) | 0 | 0 | 0 | 0 | not entailment |
~((~((e&(e>g)))>k)) | (e>c) | 0 | 1 | 0 | 0 | not entailment |
(~((k|e))&(~(((e&((k>z)|c))&g))>(q|e))) | ~(((((q&t)&c)|(e&~(g)))&~(c))) | 1 | 1 | 0 | 0 | entailment |
((z|b)&k) | (~(((c>(k|e))|b))>(y>z)) | 1 | 0 | 0 | 0 | entailment |
(~((k|e))&(~(((e&((k>z)|c))&g))>(q|e))) | (~(((c>(k|e))|b))>(y>z)) | 0 | 1 | 0 | 0 | not entailment |
((z|b)&k) | ~(((((q&t)&c)|(e&~(g)))&~(c))) | 0 | 0 | 0 | 0 | not entailment |
(b&~((z|e))) | (~(z)|(g&~((b>(q&(g&t)))))) | 1 | 0 | 0 | 0 | entailment |
(~((b|y))&~((q|t))) | (t>~(g)) | 1 | 1 | 0 | 0 | entailment |
(b&~((z|e))) | (t>~(g)) | 0 | 1 | 0 | 0 | not entailment |
(~((b|y))&~((q|t))) | (~(z)|(g&~((b>(q&(g&t)))))) | 0 | 0 | 0 | 0 | not entailment |
(~((z|(e|z)))&(e|((g|t)|(k>(z>e))))) | (e>~((y|((y&q)|((y|t)&t))))) | 1 | 1 | 0 | 0 | entailment |
~((((b&(g>z))>(t>z))|(~(q)|~((k&k))))) | (~((k&~((b&(k>b)))))|(g|~(~(y)))) | 1 | 1 | 0 | 0 | entailment |
(~((z|(e|z)))&(e|((g|t)|(k>(z>e))))) | (~((k&~((b&(k>b)))))|(g|~(~(y)))) | 0 | 1 | 0 | 0 | not entailment |
~((((b&(g>z))>(t>z))|(~(q)|~((k&k))))) | (e>~((y|((y&q)|((y|t)&t))))) | 0 | 1 | 0 | 0 | not entailment |
((t>~(y))&c) | (t|((g|~(z))>(b>(c|z)))) | 1 | 0 | 0 | 0 | entailment |
((c>~(~(b)))&q) | (z>q) | 1 | 1 | 0 | 0 | entailment |
((t>~(y))&c) | (z>q) | 0 | 1 | 0 | 0 | not entailment |
((c>~(~(b)))&q) | (t|((g|~(z))>(b>(c|z)))) | 0 | 0 | 0 | 0 | not entailment |
(k&~((e>(t&b)))) | ~(~((((~(~(b))&~((e|c)))>k)&e))) | 1 | 0 | 0 | 0 | entailment |
~(((z>~(q))|(c&(c&(t|g))))) | (~(((q>(((k&(c>k))|z)>~(b)))>g))|z) | 1 | 0 | 0 | 0 | entailment |
(k&~((e>(t&b)))) | (~(((q>(((k&(c>k))|z)>~(b)))>g))|z) | 0 | 0 | 0 | 0 | not entailment |
~(((z>~(q))|(c&(c&(t|g))))) | ~(~((((~(~(b))&~((e|c)))>k)&e))) | 0 | 0 | 0 | 0 | not entailment |
(((c>e)&~((e>(~(k)&(b&((c|g)|t))))))|q) | ((~(~((z&(c>~(g)))))>((q&z)|e))|y) | 1 | 1 | 0 | 0 | entailment |
~(((~(b)>((g>(c|(e|e)))&k))>b)) | (((t&z)&g)>((~(c)&k)|((k|b)>(c&t)))) | 1 | 0 | 0 | 0 | entailment |
(((c>e)&~((e>(~(k)&(b&((c|g)|t))))))|q) | (((t&z)&g)>((~(c)&k)|((k|b)>(c&t)))) | 0 | 1 | 0 | 0 | not entailment |
~(((~(b)>((g>(c|(e|e)))&k))>b)) | ((~(~((z&(c>~(g)))))>((q&z)|e))|y) | 0 | 0 | 0 | 0 | not entailment |
(~(((k|y)|(e&q)))&(~(~((c&e)))|(k&e))) | (k>(((q&q)&c)>~(((z&(g>z))>(~(c)>q))))) | 1 | 1 | 0 | 0 | entailment |
((~(((q&t)>g))&(b>b))|(z|(z|q))) | ((~(y)|(y&b))>((g>q)|z)) | 1 | 1 | 0 | 0 | entailment |
(~(((k|y)|(e&q)))&(~(~((c&e)))|(k&e))) | ((~(y)|(y&b))>((g>q)|z)) | 0 | 1 | 0 | 0 | not entailment |
((~(((q&t)>g))&(b>b))|(z|(z|q))) | (k>(((q&q)&c)>~(((z&(g>z))>(~(c)>q))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(k))&~(q)) | ~(((z>c)&(b&q))) | 1 | 1 | 0 | 0 | entailment |
~(((z|(k>y))|((~(t)|y)&c))) | (y>(k&~((q|(z&g))))) | 1 | 1 | 0 | 0 | entailment |
(~(~(k))&~(q)) | (y>(k&~((q|(z&g))))) | 0 | 0 | 0 | 0 | not entailment |
~(((z|(k>y))|((~(t)|y)&c))) | ~(((z>c)&(b&q))) | 0 | 1 | 0 | 0 | not entailment |
~((g|z)) | ((((z>k)&q)&(q&z))>t) | 1 | 0 | 0 | 0 | entailment |
~(~((c&b))) | (((z|b)|(~(q)>q))|(g|(y|(t|c)))) | 1 | 0 | 0 | 0 | entailment |
~((g|z)) | (((z|b)|(~(q)>q))|(g|(y|(t|c)))) | 0 | 0 | 0 | 0 | not entailment |
~(~((c&b))) | ((((z>k)&q)&(q&z))>t) | 0 | 0 | 0 | 0 | not entailment |
~(((t&e)>z)) | ((((q&t)>t)&(g&z))|(t|((z>(q>g))>~(q)))) | 1 | 0 | 0 | 0 | entailment |
(~((b&k))&k) | (q>(~(y)|(k|z))) | 1 | 0 | 0 | 0 | entailment |
~(((t&e)>z)) | (q>(~(y)|(k|z))) | 0 | 0 | 0 | 0 | not entailment |
(~((b&k))&k) | ((((q&t)>t)&(g&z))|(t|((z>(q>g))>~(q)))) | 0 | 0 | 0 | 0 | not entailment |
((z&t)&b) | ((b|(c|z))|((k&c)|b)) | 1 | 0 | 0 | 0 | entailment |
((b>t)&((y&q)&(e&q))) | (((y>y)|(c|e))>((q|z)&q)) | 1 | 0 | 0 | 0 | entailment |
((z&t)&b) | (((y>y)|(c|e))>((q|z)&q)) | 0 | 0 | 0 | 0 | not entailment |
((b>t)&((y&q)&(e&q))) | ((b|(c|z))|((k&c)|b)) | 0 | 1 | 0 | 0 | not entailment |
(((e&e)&~(~((q&(~((b>q))|e)))))&(b&g)) | (b&b) | 1 | 1 | 1 | 1 | entailment |
~((q&q)) | ((~(((t|e)>c))>~(g))|((q&g)>y)) | 1 | 0 | 0 | 0 | entailment |
(((e&e)&~(~((q&(~((b>q))|e)))))&(b&g)) | ((~(((t|e)>c))>~(g))|((q&g)>y)) | 0 | 1 | 0 | 0 | not entailment |
~((q&q)) | (b&b) | 0 | 1 | 0 | 0 | not entailment |
(((g>b)>g)&c) | ((((y|k)|(g&c))&g)|(q&e)) | 1 | 0 | 0 | 0 | entailment |
(t&~(~(c))) | (t&((c>e)>((z&(b&k))>(k>e)))) | 1 | 0 | 0 | 0 | entailment |
(((g>b)>g)&c) | (t&((c>e)>((z&(b&k))>(k>e)))) | 0 | 0 | 0 | 0 | not entailment |
(t&~(~(c))) | ((((y|k)|(g&c))&g)|(q&e)) | 0 | 0 | 0 | 0 | not entailment |
(z&g) | ((((~(t)&(c>c))&(t>t))&(y&y))|g) | 1 | 0 | 0 | 0 | entailment |
(((b&t)&q)&~((t>z))) | (e>q) | 1 | 1 | 0 | 0 | entailment |
(z&g) | (e>q) | 0 | 1 | 0 | 0 | not entailment |
(((b&t)&q)&~((t>z))) | ((((~(t)&(c>c))&(t>t))&(y&y))|g) | 0 | 0 | 0 | 0 | not entailment |
((z&h)&n) | ((j&(z>o))>(b>o)) | 1 | 0 | 0 | 0 | entailment |
(~((o|(~(z)&y)))&((a>s)&n)) | ~(((j|(s>(i>(z|s))))>(o&n))) | 1 | 1 | 0 | 0 | entailment |
((z&h)&n) | ~(((j|(s>(i>(z|s))))>(o&n))) | 0 | 0 | 0 | 0 | not entailment |
(~((o|(~(z)&y)))&((a>s)&n)) | ((j&(z>o))>(b>o)) | 0 | 1 | 0 | 0 | not entailment |
((h&z)&(((b>n)&n)&h)) | ((o|a)|(i|z)) | 1 | 1 | 0 | 0 | entailment |
~((((y>((~(n)>(z|o))&j))|o)|((j|a)|n))) | ((~(~(((b&h)|((n|b)>z))))>(j>o))|(o|o)) | 1 | 1 | 0 | 0 | entailment |
((h&z)&(((b>n)&n)&h)) | ((~(~(((b&h)|((n|b)>z))))>(j>o))|(o|o)) | 0 | 0 | 0 | 0 | not entailment |
~((((y>((~(n)>(z|o))&j))|o)|((j|a)|n))) | ((o|a)|(i|z)) | 0 | 1 | 0 | 0 | not entailment |
((s&j)&(s>y)) | ((~((z>i))&b)>y) | 1 | 0 | 0 | 0 | entailment |
~(y) | ((y&h)>~(((~(s)|~(a))|a))) | 1 | 0 | 0 | 0 | entailment |
((s&j)&(s>y)) | ((y&h)>~(((~(s)|~(a))|a))) | 0 | 0 | 0 | 0 | not entailment |
~(y) | ((~((z>i))&b)>y) | 0 | 0 | 0 | 0 | not entailment |
~(a) | ((a&(o>s))>n) | 1 | 0 | 0 | 0 | entailment |
(((n|j)|((z&(o|~(o)))&((s>y)|n)))&s) | ~((~(i)&~((s|(b>o))))) | 1 | 1 | 0 | 0 | entailment |
~(a) | ~((~(i)&~((s|(b>o))))) | 0 | 0 | 0 | 0 | not entailment |
(((n|j)|((z&(o|~(o)))&((s>y)|n)))&s) | ((a&(o>s))>n) | 0 | 1 | 0 | 0 | not entailment |
(((b&j)|(j&(o&o)))&(~((s|a))&(i|s))) | (s>j) | 1 | 1 | 1 | 1 | entailment |
~((((s&(j|n))|o)|(a|((s>j)|j)))) | (~((((h&i)>(y>o))>s))>a) | 1 | 1 | 0 | 0 | entailment |
(((b&j)|(j&(o&o)))&(~((s|a))&(i|s))) | (~((((h&i)>(y>o))>s))>a) | 0 | 1 | 0 | 0 | not entailment |
~((((s&(j|n))|o)|(a|((s>j)|j)))) | (s>j) | 0 | 1 | 1 | 0 | not entailment |
((b&(y>(~(z)>~((h|y)))))&((o>~(b))&a)) | (o>(z|((i>(y>z))&o))) | 1 | 1 | 0 | 0 | entailment |
(~((a|n))&s) | ~(~((o|((a>s)|(a>z))))) | 1 | 0 | 0 | 0 | entailment |
((b&(y>(~(z)>~((h|y)))))&((o>~(b))&a)) | ~(~((o|((a>s)|(a>z))))) | 0 | 1 | 0 | 0 | not entailment |
(~((a|n))&s) | (o>(z|((i>(y>z))&o))) | 0 | 0 | 0 | 0 | not entailment |
(b&~((y&y))) | ~(((z>~(j))&(y&(z>b)))) | 1 | 0 | 0 | 0 | entailment |
((j|o)&~(((y|(n>n))>(b|(s|a))))) | ((a>(b&b))>(o|~(((~(((i|y)&i))&b)|s)))) | 1 | 0 | 0 | 0 | entailment |
(b&~((y&y))) | ((a>(b&b))>(o|~(((~(((i|y)&i))&b)|s)))) | 0 | 0 | 0 | 0 | not entailment |
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