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 |
|---|---|---|---|---|---|---|
(c&(q>p)) | (((q>k)&(~(p)&(d&(c&c))))|(g>c)) | 1 | 0 | 0 | 0 | entailment |
~(~(~(~((d&v))))) | (((q>k)&(~(p)&(d&(c&c))))|(g>c)) | 0 | 0 | 0 | 0 | not entailment |
(c&(q>p)) | (((~(c)|~(d))|(c|p))&(d|((c|v)>(p>g)))) | 0 | 0 | 0 | 0 | not entailment |
((d&(k&d))&c) | ~((((v&~(k))&((v&(d>v))|d))&q)) | 1 | 0 | 0 | 0 | entailment |
((d|(g&(d>v)))&~((((p&k)|(~(d)>p))&g))) | (d>((d|(g>q))>(p|((g&g)>v)))) | 1 | 1 | 0 | 0 | entailment |
((d&(k&d))&c) | (d>((d|(g>q))>(p|((g&g)>v)))) | 0 | 0 | 0 | 0 | not entailment |
((d|(g&(d>v)))&~((((p&k)|(~(d)>p))&g))) | ~((((v&~(k))&((v&(d>v))|d))&q)) | 0 | 1 | 0 | 0 | not entailment |
~(((c&d)>((k|v)>~(((~(q)|c)|q))))) | (c|p) | 1 | 1 | 0 | 0 | entailment |
((g&d)&d) | ((k>~(~((d&(k&g)))))&g) | 1 | 0 | 0 | 0 | entailment |
~(((c&d)>((k|v)>~(((~(q)|c)|q))))) | ((k>~(~((d&(k&g)))))&g) | 0 | 1 | 0 | 0 | not entailment |
((g&d)&d) | (c|p) | 0 | 1 | 0 | 0 | not entailment |
~((p|(c>g))) | (q>(~(c)>d)) | 1 | 1 | 0 | 0 | entailment |
~((q>~((((((~(c)>d)&k)|v)>d)>k)))) | ((k>c)>q) | 1 | 1 | 1 | 0 | entailment |
~((p|(c>g))) | ((k>c)>q) | 0 | 1 | 0 | 0 | not entailment |
~((q>~((((((~(c)>d)&k)|v)>d)>k)))) | (q>(~(c)>d)) | 0 | 1 | 1 | 0 | not entailment |
((v&(d&d))&((v|d)&d)) | ((c|(d&((d|d)>d)))>d) | 1 | 1 | 0 | 0 | entailment |
(((q&(c|c))&~(~((~(v)&c))))&p) | ((((~(c)>p)>(g>(p>v)))&q)|q) | 1 | 1 | 0 | 0 | entailment |
((v&(d&d))&((v|d)&d)) | ((((~(c)>p)>(g>(p>v)))&q)|q) | 0 | 0 | 0 | 0 | not entailment |
(((q&(c|c))&~(~((~(v)&c))))&p) | ((c|(d&((d|d)>d)))>d) | 0 | 1 | 0 | 0 | not entailment |
(c&(~(c)>(~(c)|(c|~(((c&c)|~(c))))))) | (c|c) | 1 | 1 | 1 | 1 | entailment |
~((~(c)>c)) | (((c&c)>c)&~((c|c))) | 1 | 0 | 1 | 0 | entailment |
(c&(~(c)>(~(c)|(c|~(((c&c)|~(c))))))) | (((c&c)>c)&~((c|c))) | 0 | 1 | 1 | 1 | not entailment |
~((~(c)>c)) | (c|c) | 0 | 1 | 1 | 0 | not entailment |
(((~(c)|(c>c))|(~(c)>~(c)))>(c&c)) | (~((((c|c)>c)&c))>(c|c)) | 1 | 1 | 1 | 1 | entailment |
(~(((c&c)>~(c)))>(((c>~(c))|c)&~(c))) | ~(~(~((c|((c&c)|((c|c)&c)))))) | 1 | 1 | 1 | 1 | entailment |
(((~(c)|(c>c))|(~(c)>~(c)))>(c&c)) | ~(~(~((c|((c&c)|((c|c)&c)))))) | 0 | 1 | 1 | 1 | not entailment |
(~(((c&c)>~(c)))>(((c>~(c))|c)&~(c))) | (~((((c|c)>c)&c))>(c|c)) | 0 | 1 | 1 | 1 | not entailment |
(c&c) | ~(~(c)) | 1 | 0 | 1 | 1 | entailment |
(((c|c)>(c|c))>(~((c&c))|~((~(c)|c)))) | (c>((~(c)&c)&~((c>c)))) | 1 | 1 | 1 | 1 | entailment |
(c&c) | (c>((~(c)&c)&~((c>c)))) | 0 | 0 | 1 | 0 | not entailment |
(((c|c)>(c|c))>(~((c&c))|~((~(c)|c)))) | ~(~(c)) | 0 | 1 | 1 | 1 | not entailment |
(c&c) | ((~((c&(c|c)))|(~(~((c>c)))&(c|c)))>c) | 1 | 0 | 1 | 0 | entailment |
~((((c|c)|((c|c)>c))&(((c&c)&c)&(c>c)))) | ((c&c)>((((c&c)&~(c))&c)&c)) | 1 | 1 | 1 | 1 | entailment |
(c&c) | ((c&c)>((((c&c)&~(c))&c)&c)) | 0 | 0 | 1 | 0 | not entailment |
~((((c|c)|((c|c)>c))&(((c&c)&c)&(c>c)))) | ((~((c&(c|c)))|(~(~((c>c)))&(c|c)))>c) | 0 | 1 | 1 | 1 | not entailment |
(c&c) | (c&(c&c)) | 1 | 0 | 1 | 1 | entailment |
((c|c)>((c>(c&c))>(~(c)&~(c)))) | ~((c&(c|c))) | 1 | 1 | 1 | 1 | entailment |
(c&c) | ~((c&(c|c))) | 0 | 0 | 1 | 0 | not entailment |
((c|c)>((c>(c&c))>(~(c)&~(c)))) | (c&(c&c)) | 0 | 1 | 1 | 1 | not entailment |
~((~((h|e))>(d>n))) | ~(e) | 1 | 1 | 1 | 1 | entailment |
(((b|y)|(((y&h)&y)&y))&~(~(n))) | (((~(e)|x)>~(n))>(n&n)) | 1 | 1 | 0 | 0 | entailment |
~((~((h|e))>(d>n))) | (((~(e)|x)>~(n))>(n&n)) | 0 | 0 | 0 | 0 | not entailment |
(((b|y)|(((y&h)&y)&y))&~(~(n))) | ~(e) | 0 | 1 | 0 | 0 | not entailment |
((h&n)&~((h>~(d)))) | (((e>x)|(h&(y>(e>e))))&(h|d)) | 1 | 0 | 0 | 0 | entailment |
((((~(y)|(b&x))|(e&e))>(x&n))&~(b)) | ~(b) | 1 | 1 | 1 | 1 | entailment |
((h&n)&~((h>~(d)))) | ~(b) | 0 | 1 | 0 | 0 | not entailment |
((((~(y)|(b&x))|(e&e))>(x&n))&~(b)) | (((e>x)|(h&(y>(e>e))))&(h|d)) | 0 | 1 | 0 | 0 | not entailment |
~(~(d)) | ((b|e)>d) | 1 | 1 | 0 | 0 | entailment |
(((d&y)>e)&(b&(b&h))) | (b|y) | 1 | 1 | 1 | 0 | entailment |
~(~(d)) | (b|y) | 0 | 1 | 0 | 0 | not entailment |
(((d&y)>e)&(b&(b&h))) | ((b|e)>d) | 0 | 1 | 1 | 0 | not entailment |
(d&((((h|(x>(h&n)))|e)|y)&(y>x))) | (((b|((h|h)>d))|(n>(d&b)))>d) | 1 | 1 | 0 | 0 | entailment |
~((((b&(~(y)&e))&e)>~(n))) | (((h|~(((n&e)>(y>(y|d)))))|h)|((x&x)>n)) | 1 | 0 | 0 | 0 | entailment |
(d&((((h|(x>(h&n)))|e)|y)&(y>x))) | (((h|~(((n&e)>(y>(y|d)))))|h)|((x&x)>n)) | 0 | 0 | 1 | 0 | not entailment |
~((((b&(~(y)&e))&e)>~(n))) | (((b|((h|h)>d))|(n>(d&b)))>d) | 0 | 1 | 0 | 0 | not entailment |
(((d&(n>e))>~(n))>~((e|(y|h)))) | (((e|x)>~((((e&h)|d)&(b>y))))|d) | 1 | 1 | 0 | 0 | entailment |
((b|h)&~(((h>(n&h))|(b>(d|n))))) | ((((~(b)|(x&d))&~(d))|~(d))&(b>h)) | 1 | 0 | 0 | 0 | entailment |
(((d&(n>e))>~(n))>~((e|(y|h)))) | ((((~(b)|(x&d))&~(d))|~(d))&(b>h)) | 0 | 0 | 0 | 0 | not entailment |
((b|h)&~(((h>(n&h))|(b>(d|n))))) | (((e|x)>~((((e&h)|d)&(b>y))))|d) | 0 | 1 | 0 | 0 | not entailment |
(e&(((b|h)|((y|~(d))&(y|d)))>d)) | (~((x|b))|e) | 1 | 1 | 0 | 0 | entailment |
(((x|((h&(n|h))|(b&n)))&h)&d) | ((h|x)|n) | 1 | 1 | 1 | 1 | entailment |
(e&(((b|h)|((y|~(d))&(y|d)))>d)) | ((h|x)|n) | 0 | 1 | 0 | 0 | not entailment |
(((x|((h&(n|h))|(b&n)))&h)&d) | (~((x|b))|e) | 0 | 1 | 0 | 0 | not entailment |
((d>(~(h)|b))&b) | ((h&x)|(h|(n>b))) | 1 | 1 | 0 | 0 | entailment |
(((h>(b>x))&x)&(~(d)>~(x))) | (e>x) | 1 | 1 | 0 | 0 | entailment |
((d>(~(h)|b))&b) | (e>x) | 0 | 1 | 0 | 0 | not entailment |
(((h>(b>x))&x)&(~(d)>~(x))) | ((h&x)|(h|(n>b))) | 0 | 1 | 0 | 0 | not entailment |
((((e>(d>n))>e)&((e|(h|e))|d))&n) | (y|n) | 1 | 1 | 0 | 0 | entailment |
~(((d>~(~(~(h))))|(~(((b>b)|y))|b))) | (~(h)>d) | 1 | 1 | 1 | 1 | entailment |
((((e>(d>n))>e)&((e|(h|e))|d))&n) | (~(h)>d) | 0 | 1 | 1 | 1 | not entailment |
~(((d>~(~(~(h))))|(~(((b>b)|y))|b))) | (y|n) | 0 | 1 | 0 | 0 | not entailment |
(((x>x)&y)&b) | ((y>~((e>e)))|(~(d)|(x|b))) | 1 | 0 | 0 | 0 | entailment |
(~((n>x))&(e>b)) | (((x&b)&y)>(~(~(e))>~(((x>(n|d))|h)))) | 1 | 0 | 0 | 0 | entailment |
(((x>x)&y)&b) | (((x&b)&y)>(~(~(e))>~(((x>(n|d))|h)))) | 0 | 0 | 0 | 0 | not entailment |
(~((n>x))&(e>b)) | ((y>~((e>e)))|(~(d)|(x|b))) | 0 | 0 | 0 | 0 | not entailment |
(((n|x)>h)>(~(b)&(x&d))) | ((~(x)|b)|(~(((n|d)&h))>(h>d))) | 1 | 0 | 1 | 0 | entailment |
((y|h)&(h&(b|h))) | ((~((x|x))|(d|n))|((h&n)|(d|h))) | 1 | 0 | 0 | 0 | entailment |
(((n|x)>h)>(~(b)&(x&d))) | ((~((x|x))|(d|n))|((h&n)|(d|h))) | 0 | 0 | 1 | 0 | not entailment |
((y|h)&(h&(b|h))) | ((~(x)|b)|(~(((n|d)&h))>(h>d))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((d&y)|~((h>(e|~(n))))))) | (d|((h>b)|n)) | 1 | 1 | 0 | 0 | entailment |
(~(d)&(h&((h>n)|(e&y)))) | ((n>x)|(d>~((n&n)))) | 1 | 1 | 0 | 0 | entailment |
~(~(((d&y)|~((h>(e|~(n))))))) | ((n>x)|(d>~((n&n)))) | 0 | 1 | 0 | 0 | not entailment |
(~(d)&(h&((h>n)|(e&y)))) | (d|((h>b)|n)) | 0 | 1 | 0 | 0 | not entailment |
~(~((~((((~(h)|e)>(d>x))|e))&(n&n)))) | ((x>h)|e) | 1 | 1 | 1 | 0 | entailment |
~(y) | (~((((y&n)&h)|y))|~(((x|(d>e))|n))) | 1 | 0 | 0 | 0 | entailment |
~(~((~((((~(h)|e)>(d>x))|e))&(n&n)))) | (~((((y&n)&h)|y))|~(((x|(d>e))|n))) | 0 | 1 | 0 | 0 | not entailment |
~(y) | ((x>h)|e) | 0 | 0 | 0 | 0 | not entailment |
((e&(~(d)&(b|e)))&(h>n)) | ((h>((x>b)&h))|(e&x)) | 1 | 1 | 0 | 0 | entailment |
(d&((n|h)&((e|x)|~(y)))) | (((b|y)>((b|y)>(d|(((d&d)>n)&b))))|~(y)) | 1 | 0 | 0 | 0 | entailment |
((e&(~(d)&(b|e)))&(h>n)) | (((b|y)>((b|y)>(d|(((d&d)>n)&b))))|~(y)) | 0 | 0 | 0 | 0 | not entailment |
(d&((n|h)&((e|x)|~(y)))) | ((h>((x>b)&h))|(e&x)) | 0 | 1 | 0 | 0 | not entailment |
((d&e)&((d>h)>(~((n|d))&(d&x)))) | (h|e) | 1 | 1 | 1 | 0 | entailment |
~(~((n&d))) | ((d|(y&x))>n) | 1 | 1 | 0 | 0 | entailment |
((d&e)&((d>h)>(~((n|d))&(d&x)))) | ((d|(y&x))>n) | 0 | 1 | 0 | 0 | not entailment |
~(~((n&d))) | (h|e) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((~(e)|~(y))))) | (~((~(b)|(n&n)))|(((n&x)>(h>d))>y)) | 1 | 0 | 0 | 0 | entailment |
(~(~(((~(x)|d)|y)))>(x&(x>(d&~(x))))) | ~(~(((d>b)&((d&h)|(d|(((e|y)|x)|b)))))) | 1 | 1 | 0 | 0 | entailment |
~(~(~((~(e)|~(y))))) | ~(~(((d>b)&((d&h)|(d|(((e|y)|x)|b)))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(((~(x)|d)|y)))>(x&(x>(d&~(x))))) | (~((~(b)|(n&n)))|(((n&x)>(h>d))>y)) | 0 | 1 | 0 | 0 | not entailment |
((~(h)&(b&y))&(~((d>h))&((h|y)>~(h)))) | ((x>(d|h))|b) | 1 | 1 | 0 | 0 | entailment |
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