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 |
|---|---|---|---|---|---|---|
~((j>~(d))) | (d>((d&d)>~((j&j)))) | 0 | 0 | 1 | 0 | not entailment |
~((((d|(j|d))|~((j&j)))&(j>d))) | (~(j)|d) | 0 | 1 | 1 | 0 | not entailment |
(d&(j>((j|j)>d))) | ((d|d)|(d|d)) | 1 | 1 | 1 | 1 | entailment |
((((~(j)|j)|(~(j)>j))|d)&(j&j)) | (j&(j&(d>j))) | 1 | 1 | 1 | 0 | entailment |
(d&(j>((j|j)>d))) | (j&(j&(d>j))) | 0 | 1 | 1 | 0 | not entailment |
((((~(j)|j)|(~(j)>j))|d)&(j&j)) | ((d|d)|(d|d)) | 0 | 1 | 1 | 1 | not entailment |
(d&j) | (((d>j)&j)|j) | 1 | 0 | 1 | 0 | entailment |
(d&(((d>~((j|~(j))))|(j&j))>~((d|j)))) | ~((((j|d)&d)>((j|j)|(~(j)&j)))) | 1 | 1 | 1 | 1 | entailment |
(d&j) | ~((((j|d)&d)>((j|j)|(~(j)&j)))) | 0 | 0 | 1 | 0 | not entailment |
(d&(((d>~((j|~(j))))|(j&j))>~((d|j)))) | (((d>j)&j)|j) | 0 | 1 | 1 | 1 | not entailment |
((~(d)>(j>j))&(j&(d&(j>d)))) | (d|j) | 1 | 1 | 1 | 1 | entailment |
~((~((j|~((j&j))))|j)) | (j>(~(d)|~(d))) | 1 | 1 | 0 | 0 | entailment |
((~(d)>(j>j))&(j&(d&(j>d)))) | (j>(~(d)|~(d))) | 0 | 1 | 1 | 0 | not entailment |
~((~((j|~((j&j))))|j)) | (d|j) | 0 | 1 | 0 | 0 | not entailment |
(d|(d&d)) | (~(d)>~((d|j))) | 1 | 0 | 0 | 0 | entailment |
~(~((((~(j)>d)&j)&(~(d)>(j|j))))) | (j&(j&j)) | 1 | 1 | 1 | 1 | entailment |
(d|(d&d)) | (j&(j&j)) | 0 | 1 | 0 | 0 | not entailment |
~(~((((~(j)>d)&j)&(~(d)>(j|j))))) | (~(d)>~((d|j))) | 0 | 1 | 1 | 0 | not entailment |
((d|d)&j) | ~(~((~(d)>d))) | 1 | 0 | 1 | 1 | entailment |
~((j|~((~((d&d))|d)))) | ~((((d&d)&d)&((d>(d|j))>((d&j)&j)))) | 1 | 0 | 1 | 0 | entailment |
((d|d)&j) | ~((((d&d)&d)&((d>(d|j))>((d&j)&j)))) | 0 | 0 | 1 | 0 | not entailment |
~((j|~((~((d&d))|d)))) | ~(~((~(d)>d))) | 0 | 1 | 1 | 1 | not entailment |
(((d|d)|j)>(~(j)&~(((d>d)>j)))) | ((((d|d)&d)>(j&d))>(j>~(~((d&j))))) | 1 | 0 | 1 | 0 | entailment |
(d>~(((d>j)|~(((j>j)&~(d)))))) | (~(~(~(d)))|j) | 1 | 1 | 1 | 1 | entailment |
(((d|d)|j)>(~(j)&~(((d>d)>j)))) | (~(~(~(d)))|j) | 0 | 1 | 1 | 0 | not entailment |
(d>~(((d>j)|~(((j>j)&~(d)))))) | ((((d|d)&d)>(j&d))>(j>~(~((d&j))))) | 0 | 0 | 1 | 1 | not entailment |
~(~(~(((~(j)>(d|d))|((d|(d&d))&j))))) | (~(((j>(j|d))|((d|j)|j)))|(j>d)) | 1 | 1 | 1 | 0 | entailment |
((d>((d>d)|j))>j) | ((d|(j|~(d)))>(((j>d)>(~(j)>j))|j)) | 1 | 0 | 1 | 1 | entailment |
~(~(~(((~(j)>(d|d))|((d|(d&d))&j))))) | ((d|(j|~(d)))>(((j>d)>(~(j)>j))|j)) | 0 | 1 | 1 | 0 | not entailment |
((d>((d>d)|j))>j) | (~(((j>(j|d))|((d|j)|j)))|(j>d)) | 0 | 0 | 1 | 1 | not entailment |
((d>d)>~((((j|d)&d)>~(j)))) | (d|(~((d|d))>~((d|j)))) | 1 | 1 | 1 | 0 | entailment |
(j&~((j>d))) | ~((j>d)) | 1 | 1 | 1 | 1 | entailment |
((d>d)>~((((j|d)&d)>~(j)))) | ~((j>d)) | 0 | 1 | 1 | 1 | not entailment |
(j&~((j>d))) | (d|(~((d|d))>~((d|j)))) | 0 | 0 | 1 | 0 | not entailment |
(j|(j|d)) | ((j|d)|(d|d)) | 1 | 0 | 1 | 1 | entailment |
((~((j>j))>d)>~((d&d))) | ~((~(d)>d)) | 1 | 1 | 1 | 1 | entailment |
(j|(j|d)) | ~((~(d)>d)) | 0 | 0 | 1 | 0 | not entailment |
((~((j>j))>d)>~((d&d))) | ((j|d)|(d|d)) | 0 | 1 | 1 | 0 | not entailment |
~((~(~((~((~(n)|z))|t)))|(e|(c&n)))) | (~(c)|~(n)) | 1 | 1 | 1 | 1 | entailment |
((~(((~(((g|z)>z))|(c|t))>(z>e)))>g)>q) | (~(~(q))|(y>~(g))) | 1 | 1 | 0 | 0 | entailment |
~((~(~((~((~(n)|z))|t)))|(e|(c&n)))) | (~(~(q))|(y>~(g))) | 0 | 1 | 0 | 0 | not entailment |
((~(((~(((g|z)>z))|(c|t))>(z>e)))>g)>q) | (~(c)|~(n)) | 0 | 1 | 0 | 0 | not entailment |
~((q>((e|y)>(c|y)))) | (~(t)>((~(g)>e)|b)) | 1 | 1 | 0 | 0 | entailment |
(((z&((n&n)|~(q)))&y)|~(~((q&c)))) | ((z|((~(n)&t)|(c|g)))|n) | 1 | 1 | 0 | 0 | entailment |
~((q>((e|y)>(c|y)))) | ((z|((~(n)&t)|(c|g)))|n) | 0 | 0 | 0 | 0 | not entailment |
(((z&((n&n)|~(q)))&y)|~(~((q&c)))) | (~(t)>((~(g)>e)|b)) | 0 | 1 | 0 | 0 | not entailment |
~((((~(z)>b)|y)|~(g))) | (((y|g)>c)|g) | 1 | 1 | 0 | 0 | entailment |
(((t|q)>t)>~((g>(e>g)))) | (n|q) | 1 | 1 | 0 | 0 | entailment |
~((((~(z)>b)|y)|~(g))) | (n|q) | 0 | 1 | 0 | 0 | not entailment |
(((t|q)>t)>~((g>(e>g)))) | (((y|g)>c)|g) | 0 | 1 | 0 | 0 | not entailment |
(c&g) | (~(((z|(q&e))|(g&t)))|(~((e|e))|g)) | 1 | 0 | 0 | 0 | entailment |
~(((g>c)>~(~(~((y&z)))))) | ~(~((~(n)>(y|~(((c&e)&g)))))) | 1 | 0 | 0 | 0 | entailment |
(c&g) | ~(~((~(n)>(y|~(((c&e)&g)))))) | 0 | 0 | 0 | 0 | not entailment |
~(((g>c)>~(~(~((y&z)))))) | (~(((z|(q&e))|(g&t)))|(~((e|e))|g)) | 0 | 0 | 0 | 0 | not entailment |
((q&n)&(y&~(~(g)))) | ~(~(n)) | 1 | 1 | 1 | 1 | entailment |
(~((q&c))&(~(g)&(~(e)&((y>z)&t)))) | ((~((b|~(~(~((n>q))))))|(y|(z&y)))>t) | 1 | 0 | 0 | 0 | entailment |
((q&n)&(y&~(~(g)))) | ((~((b|~(~(~((n>q))))))|(y|(z&y)))>t) | 0 | 0 | 0 | 0 | not entailment |
(~((q&c))&(~(g)&(~(e)&((y>z)&t)))) | ~(~(n)) | 0 | 1 | 0 | 0 | not entailment |
(e&~((((c&n)|n)&n))) | (n>(g&(z&e))) | 1 | 1 | 0 | 0 | entailment |
~((b|z)) | (((n|((c>n)>t))|q)>((b>z)|q)) | 1 | 0 | 0 | 0 | entailment |
(e&~((((c&n)|n)&n))) | (((n|((c>n)>t))|q)>((b>z)|q)) | 0 | 0 | 0 | 0 | not entailment |
~((b|z)) | (n>(g&(z&e))) | 0 | 0 | 0 | 0 | not entailment |
(((z|e)&(~(~((b>z)))|z))&e) | ((y|n)>(g>e)) | 1 | 1 | 0 | 0 | entailment |
((y&q)&c) | ((((g|e)&y)|~(e))|c) | 1 | 0 | 0 | 0 | entailment |
(((z|e)&(~(~((b>z)))|z))&e) | ((((g|e)&y)|~(e))|c) | 0 | 1 | 0 | 0 | not entailment |
((y&q)&c) | ((y|n)>(g>e)) | 0 | 0 | 0 | 0 | not entailment |
(n|n) | (~(~((n|(y>(n|b)))))|~(((~(q)&z)>b))) | 1 | 0 | 0 | 0 | entailment |
(c>~(((e&~(z))>n))) | (~(c)|(n>z)) | 1 | 1 | 1 | 0 | entailment |
(n|n) | (~(c)|(n>z)) | 0 | 0 | 0 | 0 | not entailment |
(c>~(((e&~(z))>n))) | (~(~((n|(y>(n|b)))))|~(((~(q)&z)>b))) | 0 | 0 | 0 | 0 | not entailment |
~(~((b&y))) | (~(~((~(~((y|y)))&(n>z))))|y) | 1 | 0 | 0 | 0 | entailment |
~((((n>g)|t)|(q>t))) | (e>n) | 1 | 1 | 0 | 0 | entailment |
~(~((b&y))) | (e>n) | 0 | 1 | 0 | 0 | not entailment |
~((((n>g)|t)|(q>t))) | (~(~((~(~((y|y)))&(n>z))))|y) | 0 | 0 | 0 | 0 | not entailment |
~(~((b&(((g>((b&c)|b))|c)&e)))) | ((~((c>~(q)))&(g>q))>((n&q)>((q>b)|g))) | 1 | 0 | 0 | 0 | entailment |
~(~(((((y>c)|y)&(q&y))|(~((e&b))&y)))) | (c>~(~((g>y)))) | 1 | 1 | 0 | 0 | entailment |
~(~((b&(((g>((b&c)|b))|c)&e)))) | (c>~(~((g>y)))) | 0 | 1 | 0 | 0 | not entailment |
~(~(((((y>c)|y)&(q&y))|(~((e&b))&y)))) | ((~((c>~(q)))&(g>q))>((n&q)>((q>b)|g))) | 0 | 1 | 0 | 0 | not entailment |
~(((~((c>z))>(y|z))>(c>((t|n)|(t&c))))) | (((t&(e|(t>g)))>z)&(~(b)|(b|t))) | 1 | 1 | 0 | 0 | entailment |
(((q|q)|~(c))&y) | (c>(g|q)) | 1 | 1 | 0 | 0 | entailment |
~(((~((c>z))>(y|z))>(c>((t|n)|(t&c))))) | (c>(g|q)) | 0 | 1 | 0 | 0 | not entailment |
(((q|q)|~(c))&y) | (((t&(e|(t>g)))>z)&(~(b)|(b|t))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(((c&g)|n)))|~(q))) | ((((z|~(~((n&g))))&n)>c)|(t|g)) | 1 | 0 | 0 | 0 | entailment |
~(~(e)) | (e|~((((b|t)&y)&q))) | 1 | 0 | 0 | 0 | entailment |
~((~(~(((c&g)|n)))|~(q))) | (e|~((((b|t)&y)&q))) | 0 | 1 | 0 | 0 | not entailment |
~(~(e)) | ((((z|~(~((n&g))))&n)>c)|(t|g)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(~((n&g))))) | (((g>z)>z)|(~(c)|b)) | 1 | 1 | 0 | 0 | entailment |
~((((t&y)|((b>q)>q))>(y|e))) | (((n>q)|((b>~(e))|~(n)))|q) | 1 | 1 | 0 | 0 | entailment |
~(~(~(~((n&g))))) | (((n>q)|((b>~(e))|~(n)))|q) | 0 | 0 | 0 | 0 | not entailment |
~((((t&y)|((b>q)>q))>(y|e))) | (((g>z)>z)|(~(c)|b)) | 0 | 1 | 0 | 0 | not entailment |
(b&~(((n&(n&b))&~((g&t))))) | ~((~(b)&((q|(q>b))|((~(y)|g)&t)))) | 1 | 0 | 0 | 0 | entailment |
~((~(~(~((g&n))))|(~(z)&g))) | ((~(g)>(n&g))|(z|t)) | 1 | 1 | 0 | 0 | entailment |
(b&~(((n&(n&b))&~((g&t))))) | ((~(g)>(n&g))|(z|t)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(~((g&n))))|(~(z)&g))) | ~((~(b)&((q|(q>b))|((~(y)|g)&t)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((y|b)))|(c|q))) | ~((g&(b&c))) | 1 | 1 | 0 | 0 | entailment |
~((e|((z|n)|q))) | (~(((c>(t&n))&n))>~((e&g))) | 1 | 0 | 0 | 0 | entailment |
~((~(~((y|b)))|(c|q))) | (~(((c>(t&n))&n))>~((e&g))) | 0 | 0 | 0 | 0 | not entailment |
~((e|((z|n)|q))) | ~((g&(b&c))) | 0 | 1 | 0 | 0 | not entailment |
~((~(g)>t)) | (((t&z)>c)|(n&b)) | 1 | 0 | 0 | 0 | entailment |
(((q&(c|n))&(e&z))|~(((g&~(g))>e))) | (((~(q)>g)>~(q))>y) | 1 | 1 | 0 | 0 | entailment |
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