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>j)>u)|(~(c)>p))) | (~((p>~(i)))>~(((u>(m>w))>j))) | 1 | 0 | 0 | 0 | entailment |
~(((w&m)>u)) | (~((p>~(i)))>~(((u>(m>w))>j))) | 0 | 0 | 0 | 0 | not entailment |
~((((j>j)>u)|(~(c)>p))) | (((~(((~(j)>i)>m))|m)|j)|w) | 0 | 0 | 0 | 0 | not entailment |
~((e>(m>~(w)))) | (w>((u&j)>e)) | 1 | 1 | 0 | 0 | entailment |
(i&(~(j)>~(j))) | (j|(i|(~((g>(~((m>e))&m)))>(i&w)))) | 1 | 0 | 0 | 0 | entailment |
~((e>(m>~(w)))) | (j|(i|(~((g>(~((m>e))&m)))>(i&w)))) | 0 | 0 | 0 | 0 | not entailment |
(i&(~(j)>~(j))) | (w>((u&j)>e)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((j>(j&j))>j))) | ((j|((j>j)&(j|((c|((c&j)&c))&c))))|(j&c)) | 1 | 0 | 0 | 0 | entailment |
((j>c)&~((c&j))) | (~((c&(j|c)))>~((c|j))) | 1 | 0 | 1 | 0 | entailment |
~(~(((j>(j&j))>j))) | (~((c&(j|c)))>~((c|j))) | 0 | 0 | 0 | 0 | not entailment |
((j>c)&~((c&j))) | ((j|((j>j)&(j|((c|((c&j)&c))&c))))|(j&c)) | 0 | 0 | 1 | 0 | not entailment |
((j|(c&j))|(c|j)) | (j|c) | 1 | 1 | 1 | 1 | entailment |
(((j>(j>c))&c)>j) | ~(~(((((~(c)|j)|j)&(c>c))|(j|j)))) | 1 | 0 | 1 | 0 | entailment |
((j|(c&j))|(c|j)) | ~(~(((((~(c)|j)|j)&(c>c))|(j|j)))) | 0 | 0 | 1 | 0 | not entailment |
(((j>(j>c))&c)>j) | (j|c) | 0 | 1 | 1 | 0 | not entailment |
(~(c)&~((j>((((c>c)>c)>j)&~(j))))) | ~(c) | 1 | 1 | 1 | 1 | entailment |
(((j|(~((c|j))>c))>(c&j))&~((j>~(j)))) | ~(~((c&(c&j)))) | 1 | 1 | 1 | 1 | entailment |
(~(c)&~((j>((((c>c)>c)>j)&~(j))))) | ~(~((c&(c&j)))) | 0 | 1 | 1 | 1 | not entailment |
(((j|(~((c|j))>c))>(c&j))&~((j>~(j)))) | ~(c) | 0 | 1 | 1 | 1 | not entailment |
~(((j&(j|j))|c)) | ~(((c|(~(((c|c)&(c&j)))&j))&((j|j)&j))) | 1 | 0 | 1 | 0 | entailment |
((c&(c&~(~(c))))&(c&c)) | (((c|~(c))|c)>((c&c)|j)) | 1 | 1 | 0 | 0 | entailment |
~(((j&(j|j))|c)) | (((c|~(c))|c)>((c&c)|j)) | 0 | 0 | 1 | 0 | not entailment |
((c&(c&~(~(c))))&(c&c)) | ~(((c|(~(((c|c)&(c&j)))&j))&((j|j)&j))) | 0 | 0 | 0 | 0 | not entailment |
(~((c|j))|(j&(c|j))) | ((j|c)>(j|((j&(c|j))&((j&j)|((c&c)&c))))) | 1 | 0 | 1 | 1 | entailment |
(~((j|c))|~(j)) | ((~(c)|j)>(~(c)&~(((j&c)|j)))) | 1 | 0 | 1 | 0 | entailment |
(~((c|j))|(j&(c|j))) | ((~(c)|j)>(~(c)&~(((j&c)|j)))) | 0 | 0 | 1 | 1 | not entailment |
(~((j|c))|~(j)) | ((j|c)>(j|((j&(c|j))&((j&j)|((c&c)&c))))) | 0 | 0 | 1 | 0 | not entailment |
(((j|c)|~(((~(j)|c)|(j>~((j&j))))))>j) | (j|~(~(~(c)))) | 1 | 1 | 1 | 1 | entailment |
(c&(c>(c|j))) | ((((c&(j>c))&j)>((c>j)&(j|c)))>((c>j)>c)) | 1 | 0 | 1 | 0 | entailment |
(((j|c)|~(((~(j)|c)|(j>~((j&j))))))>j) | ((((c&(j>c))&j)>((c>j)&(j|c)))>((c>j)>c)) | 0 | 1 | 1 | 1 | not entailment |
(c&(c>(c|j))) | (j|~(~(~(c)))) | 0 | 0 | 1 | 1 | not entailment |
((c|j)&j) | ((~(j)>(j|j))|c) | 1 | 0 | 1 | 1 | entailment |
((c|((j|j)|c))>~(((j&~(c))|c))) | (j>c) | 1 | 1 | 1 | 1 | entailment |
((c|j)&j) | (j>c) | 0 | 1 | 1 | 0 | not entailment |
((c|((j|j)|c))>~(((j&~(c))|c))) | ((~(j)>(j|j))|c) | 0 | 1 | 1 | 0 | not entailment |
(c|(((j&j)>(j|j))>c)) | ((c|(((c|c)>j)>(j|c)))&(~(j)|j)) | 1 | 0 | 1 | 1 | entailment |
~(c) | (~((c>j))>j) | 1 | 0 | 0 | 0 | entailment |
(c|(((j&j)>(j|j))>c)) | (~((c>j))>j) | 0 | 1 | 1 | 0 | not entailment |
~(c) | ((c|(((c|c)>j)>(j|c)))&(~(j)|j)) | 0 | 0 | 0 | 0 | not entailment |
~((j&(~((j>j))>j))) | ((c>c)>~(j)) | 1 | 1 | 0 | 0 | entailment |
(j&(c|c)) | ((~(j)|(((c&j)>(j|j))|j))>c) | 1 | 0 | 1 | 0 | entailment |
~((j&(~((j>j))>j))) | ((~(j)|(((c&j)>(j|j))|j))>c) | 0 | 0 | 0 | 0 | not entailment |
(j&(c|c)) | ((c>c)>~(j)) | 0 | 0 | 1 | 0 | not entailment |
(~(c)|(~(j)&c)) | ~((((c&c)&((j>j)&j))&(~(c)|c))) | 1 | 0 | 1 | 0 | entailment |
(((j|c)|(j>c))&j) | ~((c&~(j))) | 1 | 1 | 1 | 0 | entailment |
(~(c)|(~(j)&c)) | ~((c&~(j))) | 0 | 1 | 1 | 0 | not entailment |
(((j|c)|(j>c))&j) | ~((((c&c)&((j>j)&j))&(~(c)|c))) | 0 | 0 | 1 | 0 | not entailment |
((o|(o&o))&(~(~(o))&o)) | (o|((~(o)&o)|~(~(o)))) | 1 | 1 | 1 | 0 | entailment |
~(~((o>~(~(((o|~(o))>~((o|o)))))))) | ((o>~((o|o)))|(o&~(o))) | 1 | 1 | 1 | 1 | entailment |
((o|(o&o))&(~(~(o))&o)) | ((o>~((o|o)))|(o&~(o))) | 0 | 1 | 1 | 0 | not entailment |
~(~((o>~(~(((o|~(o))>~((o|o)))))))) | (o|((~(o)&o)|~(~(o)))) | 0 | 1 | 1 | 1 | not entailment |
((o|o)&(o>o)) | (o&o) | 1 | 1 | 1 | 1 | entailment |
(~((((o|o)>o)>(~(o)&o)))>~((o&(o&o)))) | ~(~(((o&o)>(((o&o)|o)&(o>~((o&o))))))) | 1 | 1 | 1 | 1 | entailment |
((o|o)&(o>o)) | ~(~(((o&o)>(((o&o)|o)&(o>~((o&o))))))) | 0 | 0 | 1 | 1 | not entailment |
(~((((o|o)>o)>(~(o)&o)))>~((o&(o&o)))) | (o&o) | 0 | 1 | 1 | 1 | not entailment |
((((o|o)|~((o|o)))|o)>(o|(o|(o&o)))) | (~(o)>o) | 1 | 1 | 1 | 1 | entailment |
((((~(o)&(o>o))|(o>o))&o)>(o&~(o))) | ~(o) | 1 | 1 | 1 | 1 | entailment |
((((o|o)|~((o|o)))|o)>(o|(o|(o&o)))) | ~(o) | 0 | 1 | 1 | 1 | not entailment |
((((~(o)&(o>o))|(o>o))&o)>(o&~(o))) | (~(o)>o) | 0 | 1 | 1 | 1 | not entailment |
~((~(d)>((~(~(a))&a)|(a|~(o))))) | ((a>((g|~(a))&d))>~(a)) | 1 | 1 | 0 | 0 | entailment |
(((j|d)&~(~((y>((j>n)&(o&y))))))&y) | (y|j) | 1 | 1 | 1 | 1 | entailment |
~((~(d)>((~(~(a))&a)|(a|~(o))))) | (y|j) | 0 | 1 | 0 | 0 | not entailment |
(((j|d)&~(~((y>((j>n)&(o&y))))))&y) | ((a>((g|~(a))&d))>~(a)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((~((j>y))&d)&(o|a)))) | (~(((o&o)>(j&((((a>o)>o)|y)|y))))>y) | 1 | 0 | 1 | 0 | entailment |
(((d&(~(a)&a))>((g&n)>n))&(a|(a&g))) | (((((n|(g&g))>n)>(j>(n&o)))>(d&g))>a) | 1 | 1 | 0 | 0 | entailment |
~(~(((~((j>y))&d)&(o|a)))) | (((((n|(g&g))>n)>(j>(n&o)))>(d&g))>a) | 0 | 0 | 0 | 0 | not entailment |
(((d&(~(a)&a))>((g&n)>n))&(a|(a&g))) | (~(((o&o)>(j&((((a>o)>o)|y)|y))))>y) | 0 | 1 | 0 | 0 | not entailment |
~((d|(~(~((a|n)))>(g>(j>(o|d)))))) | ~((~(((g>a)&n))&o)) | 1 | 1 | 1 | 0 | entailment |
((~((a|n))&(g>d))&(((g|g)&o)&~((y|a)))) | (((a|g)&(j>((a|n)&g)))>((a>(a|d))>o)) | 1 | 1 | 0 | 0 | entailment |
~((d|(~(~((a|n)))>(g>(j>(o|d)))))) | (((a|g)&(j>((a|n)&g)))>((a>(a|d))>o)) | 0 | 1 | 1 | 0 | not entailment |
((~((a|n))&(g>d))&(((g|g)&o)&~((y|a)))) | ~((~(((g>a)&n))&o)) | 0 | 1 | 1 | 0 | not entailment |
((~((~(d)&d))&(j|((a>~(n))>a)))&y) | (((d>y)>(g|d))|y) | 1 | 1 | 0 | 0 | entailment |
(((j&~(y))|~(((j&(o|o))>o)))&j) | (~(~(j))|(((~((d&(g>g)))|d)>d)&j)) | 1 | 0 | 0 | 0 | entailment |
((~((~(d)&d))&(j|((a>~(n))>a)))&y) | (~(~(j))|(((~((d&(g>g)))|d)>d)&j)) | 0 | 1 | 0 | 0 | not entailment |
(((j&~(y))|~(((j&(o|o))>o)))&j) | (((d>y)>(g|d))|y) | 0 | 1 | 0 | 0 | not entailment |
((d&j)&((y>n)>y)) | (((y|a)>~((g>(d>y))))>(y|j)) | 1 | 0 | 0 | 0 | entailment |
((((a>n)&o)|(~((((o|y)|j)&g))&g))&a) | ((d|((y>~(a))>g))>a) | 1 | 1 | 0 | 0 | entailment |
((d&j)&((y>n)>y)) | ((d|((y>~(a))>g))>a) | 0 | 0 | 0 | 0 | not entailment |
((((a>n)&o)|(~((((o|y)|j)&g))&g))&a) | (((y|a)>~((g>(d>y))))>(y|j)) | 0 | 1 | 0 | 0 | not entailment |
~(((~(j)&~(j))|(o&y))) | ((((j|g)|(d|n))&g)>j) | 1 | 1 | 0 | 0 | entailment |
~((a>~(d))) | ~((((g>d)>~(a))&j)) | 1 | 0 | 0 | 0 | entailment |
~(((~(j)&~(j))|(o&y))) | ~((((g>d)>~(a))&j)) | 0 | 1 | 0 | 0 | not entailment |
~((a>~(d))) | ((((j|g)|(d|n))&g)>j) | 0 | 0 | 0 | 0 | not entailment |
(j&d) | (j|~(((((j>d)>j)>y)&(o>o)))) | 1 | 0 | 0 | 0 | entailment |
~(g) | (~((g>o))>~(y)) | 1 | 0 | 0 | 0 | entailment |
(j&d) | (~((g>o))>~(y)) | 0 | 0 | 0 | 0 | not entailment |
~(g) | (j|~(((((j>d)>j)>y)&(o>o)))) | 0 | 0 | 0 | 0 | not entailment |
~(((j>a)|~(((g>j)|(~(y)|~((y|n))))))) | (j|(j&(d>d))) | 1 | 1 | 0 | 0 | entailment |
((n>(n>g))&(n|d)) | ((a|n)|(d|n)) | 1 | 1 | 0 | 0 | entailment |
~(((j>a)|~(((g>j)|(~(y)|~((y|n))))))) | ((a|n)|(d|n)) | 0 | 1 | 0 | 0 | not entailment |
((n>(n>g))&(n|d)) | (j|(j&(d>d))) | 0 | 1 | 0 | 0 | not entailment |
(((a&o)&~(a))|d) | ((g&g)>(a>(d|((d&a)|o)))) | 1 | 0 | 0 | 0 | entailment |
(~(d)&(a&n)) | (((~(a)&a)|(a|g))|(g|j)) | 1 | 0 | 0 | 0 | entailment |
(((a&o)&~(a))|d) | (((~(a)&a)|(a|g))|(g|j)) | 0 | 0 | 0 | 0 | not entailment |
(~(d)&(a&n)) | ((g&g)>(a>(d|((d&a)|o)))) | 0 | 0 | 0 | 0 | not entailment |
~((n|j)) | ~(((n|n)&y)) | 1 | 0 | 0 | 0 | entailment |
~((~(~(g))|(n>a))) | (o>~(g)) | 1 | 1 | 0 | 0 | entailment |
~((n|j)) | (o>~(g)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(g))|(n>a))) | ~(((n|n)&y)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((o>g)&g))) | ((a&~(j))|g) | 1 | 1 | 0 | 0 | entailment |
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