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 |
---|---|---|---|---|---|---|
~((((l|e)>~(o))>l)) | (l>(o|y)) | 1 | 1 | 0 | 0 | entailment |
(b&((t|o)|(e>~((p|~((o&y))))))) | ~(~(((p|(((p&o)>j)&(l|~(~(o)))))|b))) | 1 | 0 | 0 | 0 | entailment |
~((((l|e)>~(o))>l)) | ~(~(((p|(((p&o)>j)&(l|~(~(o)))))|b))) | 0 | 0 | 0 | 0 | not entailment |
(b&((t|o)|(e>~((p|~((o&y))))))) | (l>(o|y)) | 0 | 1 | 0 | 0 | not entailment |
(o&o) | (~(~((e&j)))|(~(o)>e)) | 1 | 0 | 0 | 0 | entailment |
(((p&((~(h)|o)&(y|(y&p))))>(l&o))&t) | (~((y&p))>((t&b)|(~(b)|j))) | 1 | 1 | 0 | 0 | entailment |
(o&o) | (~((y&p))>((t&b)|(~(b)|j))) | 0 | 0 | 0 | 0 | not entailment |
(((p&((~(h)|o)&(y|(y&p))))>(l&o))&t) | (~(~((e&j)))|(~(o)>e)) | 0 | 1 | 0 | 0 | not entailment |
((h&e)&~(l)) | ((y&l)>(e>t)) | 1 | 1 | 0 | 0 | entailment |
(o>~((o&p))) | ((o&(p&h))>~((b>(b&y)))) | 1 | 0 | 0 | 0 | entailment |
((h&e)&~(l)) | ((o&(p&h))>~((b>(b&y)))) | 0 | 0 | 0 | 0 | not entailment |
(o>~((o&p))) | ((y&l)>(e>t)) | 0 | 1 | 0 | 0 | not entailment |
~((((o|j)&~(o))>y)) | (~((~(~(t))>(h&~(l))))>j) | 1 | 0 | 0 | 0 | entailment |
((b&t)&~(p)) | ((~((o>j))>((l>y)>((p&(j&p))>j)))>t) | 1 | 0 | 0 | 0 | entailment |
~((((o|j)&~(o))>y)) | ((~((o>j))>((l>y)>((p&(j&p))>j)))>t) | 0 | 0 | 0 | 0 | not entailment |
((b&t)&~(p)) | (~((~(~(t))>(h&~(l))))>j) | 0 | 0 | 0 | 0 | not entailment |
(p&~(((e|y)|o))) | ~(((y&(o&p))&(~(e)|j))) | 1 | 0 | 0 | 0 | entailment |
~((p>(((e>e)|(~(~(b))&l))>~((e&l))))) | ((~((b>y))&o)|(((b|e)|y)>l)) | 1 | 1 | 0 | 0 | entailment |
(p&~(((e|y)|o))) | ((~((b>y))&o)|(((b|e)|y)>l)) | 0 | 0 | 0 | 0 | not entailment |
~((p>(((e>e)|(~(~(b))&l))>~((e&l))))) | ~(((y&(o&p))&(~(e)|j))) | 0 | 1 | 0 | 0 | not entailment |
((((y&(d|y))>(~(y)>y))>d)&(y&(y|(e&y)))) | (((d&e)>~(y))>~(~(y))) | 1 | 1 | 1 | 1 | entailment |
((((d>y)>e)&(((d&e)|y)|~(d)))&(y|e)) | (~(((e&e)&d))>(e|(y>(e&y)))) | 1 | 1 | 1 | 1 | entailment |
((((y&(d|y))>(~(y)>y))>d)&(y&(y|(e&y)))) | (~(((e&e)&d))>(e|(y>(e&y)))) | 0 | 1 | 1 | 1 | not entailment |
((((d>y)>e)&(((d&e)|y)|~(d)))&(y|e)) | (((d&e)>~(y))>~(~(y))) | 0 | 1 | 1 | 1 | not entailment |
((e&~((((e>y)|y)&e)))|(y&((y>e)|d))) | (~((y|(((y|e)|e)&e)))>~(d)) | 1 | 1 | 1 | 0 | entailment |
(y|d) | ((d>~(e))>(e>y)) | 1 | 0 | 0 | 0 | entailment |
((e&~((((e>y)|y)&e)))|(y&((y>e)|d))) | ((d>~(e))>(e>y)) | 0 | 1 | 1 | 1 | not entailment |
(y|d) | (~((y|(((y|e)|e)&e)))>~(d)) | 0 | 0 | 0 | 0 | not entailment |
(~(d)&y) | ~(d) | 1 | 1 | 1 | 1 | entailment |
(y&e) | (y>((~((~(y)&d))>y)&(e|d))) | 1 | 0 | 0 | 0 | entailment |
(~(d)&y) | (y>((~((~(y)&d))>y)&(e|d))) | 0 | 0 | 0 | 0 | not entailment |
(y&e) | ~(d) | 0 | 1 | 0 | 0 | not entailment |
((e|(y&y))&(d>(e>y))) | ~(~((d>(((d&(e|~(y)))>~(e))>y)))) | 1 | 0 | 1 | 0 | entailment |
(y>~((e>y))) | ~(((y&(y>d))&(e>~(~((e>d)))))) | 1 | 0 | 0 | 0 | entailment |
((e|(y&y))&(d>(e>y))) | ~(((y&(y>d))&(e>~(~((e>d)))))) | 0 | 0 | 1 | 0 | not entailment |
(y>~((e>y))) | ~(~((d>(((d&(e|~(y)))>~(e))>y)))) | 0 | 0 | 0 | 0 | not entailment |
(e&(~((y&(y&e)))|(e&~(e)))) | (y|((d>y)|(d>((e&e)|e)))) | 1 | 1 | 0 | 0 | entailment |
~((~((~(y)>(e>y)))|(d&(d&~(d))))) | ((~(d)&e)>~(~((y|~((e&(e>e))))))) | 1 | 1 | 1 | 0 | entailment |
(e&(~((y&(y&e)))|(e&~(e)))) | ((~(d)&e)>~(~((y|~((e&(e>e))))))) | 0 | 0 | 0 | 0 | not entailment |
~((~((~(y)>(e>y)))|(d&(d&~(d))))) | (y|((d>y)|(d>((e&e)|e)))) | 0 | 1 | 1 | 0 | not entailment |
(e&d) | (((y>d)&d)>(d&(d&((e&(y&e))|~(~(e)))))) | 1 | 0 | 0 | 0 | entailment |
((d|e)&y) | (~(((d&e)&y))>~((~((e|y))|(e&d)))) | 1 | 0 | 1 | 0 | entailment |
(e&d) | (~(((d&e)&y))>~((~((e|y))|(e&d)))) | 0 | 0 | 0 | 0 | not entailment |
((d|e)&y) | (((y>d)&d)>(d&(d&((e&(y&e))|~(~(e)))))) | 0 | 0 | 1 | 0 | not entailment |
~((y>(d&d))) | ((y&y)|((((y|d)>~(y))>e)&y)) | 1 | 0 | 0 | 0 | entailment |
((e>d)&e) | (y>d) | 1 | 1 | 0 | 0 | entailment |
~((y>(d&d))) | (y>d) | 0 | 1 | 1 | 0 | not entailment |
((e>d)&e) | ((y&y)|((((y|d)>~(y))>e)&y)) | 0 | 0 | 0 | 0 | not entailment |
((e|(~((e&d))&d))>((y&e)&y)) | (~(~(((d|d)>(y|y))))>(e>((y&(y|y))&e))) | 1 | 0 | 1 | 0 | entailment |
~(~((e|y))) | (~(~(e))|y) | 1 | 1 | 1 | 1 | entailment |
((e|(~((e&d))&d))>((y&e)&y)) | (~(~(e))|y) | 0 | 1 | 1 | 1 | not entailment |
~(~((e|y))) | (~(~(((d|d)>(y|y))))>(e>((y&(y|y))&e))) | 0 | 0 | 0 | 0 | not entailment |
(~(((y|e)>y))&~(((e&d)>y))) | (~(((d>d)>y))&~((d&y))) | 1 | 1 | 1 | 0 | entailment |
((~((e&((e>d)>(d>y))))|e)&(y|(y&d))) | (y|~(d)) | 1 | 1 | 1 | 0 | entailment |
(~(((y|e)>y))&~(((e&d)>y))) | (y|~(d)) | 0 | 1 | 1 | 0 | not entailment |
((~((e&((e>d)>(d>y))))|e)&(y|(y&d))) | (~(((d>d)>y))&~((d&y))) | 0 | 1 | 1 | 0 | not entailment |
(e|e) | ~(~((e&(e&e)))) | 1 | 0 | 1 | 1 | entailment |
((y|y)&(e>y)) | ~((~((d>y))&(((e|e)>y)|(d|(y|e))))) | 1 | 0 | 0 | 0 | entailment |
(e|e) | ~((~((d>y))&(((e|e)>y)|(d|(y|e))))) | 0 | 0 | 0 | 0 | not entailment |
((y|y)&(e>y)) | ~(~((e&(e&e)))) | 0 | 0 | 1 | 0 | not entailment |
~(((~(~((y|e)))&e)|~((d|d)))) | ~(~(~(~((~(y)>(d&(d&d))))))) | 1 | 1 | 1 | 0 | entailment |
(y|((y>e)>e)) | (y|e) | 1 | 1 | 1 | 1 | entailment |
~(((~(~((y|e)))&e)|~((d|d)))) | (y|e) | 0 | 1 | 1 | 0 | not entailment |
(y|((y>e)>e)) | ~(~(~(~((~(y)>(d&(d&d))))))) | 0 | 0 | 0 | 0 | not entailment |
((d>(d>e))&y) | ((d>y)|(~(((d|d)|d))&(~(e)&(e>(e|y))))) | 1 | 0 | 1 | 0 | entailment |
(((d|d)&~((y|y)))|d) | (((d>e)>(e&d))|((e&y)|(y>d))) | 1 | 0 | 0 | 0 | entailment |
((d>(d>e))&y) | (((d>e)>(e&d))|((e&y)|(y>d))) | 0 | 0 | 1 | 0 | not entailment |
(((d|d)&~((y|y)))|d) | ((d>y)|(~(((d|d)|d))&(~(e)&(e>(e|y))))) | 0 | 0 | 0 | 0 | not entailment |
(((y&d)&((y&d)>e))&((d|(y|d))>d)) | ((y>y)&d) | 1 | 1 | 1 | 1 | entailment |
((d>~((e&(d|d))))&e) | (((y|(d&e))|(y&y))>((e&d)>~(e))) | 1 | 0 | 0 | 0 | entailment |
(((y&d)&((y&d)>e))&((d|(y|d))>d)) | (((y|(d&e))|(y&y))>((e&d)>~(e))) | 0 | 1 | 1 | 0 | not entailment |
((d>~((e&(d|d))))&e) | ((y>y)&d) | 0 | 1 | 0 | 0 | not entailment |
~((((w&x)|(g>w))|((i&(u|u))>y))) | ((o&(u&~(o)))|(y>~(((~(o)|~(u))>u)))) | 1 | 0 | 0 | 0 | entailment |
(~(~((~(~(x))&o)))&(o|~(((o|o)|y)))) | (x&x) | 1 | 1 | 1 | 1 | entailment |
~((((w&x)|(g>w))|((i&(u|u))>y))) | (x&x) | 0 | 1 | 1 | 0 | not entailment |
(~(~((~(~(x))&o)))&(o|~(((o|o)|y)))) | ((o&(u&~(o)))|(y>~(((~(o)|~(u))>u)))) | 0 | 1 | 0 | 0 | not entailment |
((~(w)>x)&(y&(i&g))) | (~(((u>y)|y))>(w>x)) | 1 | 1 | 0 | 0 | entailment |
((((i&o)&w)|w)|~(((~(g)&x)>x))) | (~((u|~((w>w))))>~(~(w))) | 1 | 1 | 0 | 0 | entailment |
((~(w)>x)&(y&(i&g))) | (~((u|~((w>w))))>~(~(w))) | 0 | 0 | 0 | 0 | not entailment |
((((i&o)&w)|w)|~(((~(g)&x)>x))) | (~(((u>y)|y))>(w>x)) | 0 | 1 | 0 | 0 | not entailment |
((g&~((x>o)))&(~(((w&i)|o))|x)) | ~((~((((y>o)|w)|x))|(~(x)&x))) | 1 | 1 | 0 | 0 | entailment |
((g&u)&y) | (y|((w&(u>(x|w)))&((i&~((g&x)))|u))) | 1 | 0 | 0 | 0 | entailment |
((g&~((x>o)))&(~(((w&i)|o))|x)) | (y|((w&(u>(x|w)))&((i&~((g&x)))|u))) | 0 | 0 | 0 | 0 | not entailment |
((g&u)&y) | ~((~((((y>o)|w)|x))|(~(x)&x))) | 0 | 0 | 0 | 0 | not entailment |
(u&g) | (o|((y|o)>g)) | 1 | 0 | 0 | 0 | entailment |
~((w|(x>g))) | ~((~((x|w))&~((~(((i|w)&x))&y)))) | 1 | 0 | 0 | 0 | entailment |
(u&g) | ~((~((x|w))&~((~(((i|w)&x))&y)))) | 0 | 0 | 0 | 0 | not entailment |
~((w|(x>g))) | (o|((y|o)>g)) | 0 | 1 | 0 | 0 | not entailment |
(~((y&(u>g)))&(~(w)&(i&o))) | ((w&w)>o) | 1 | 1 | 1 | 1 | entailment |
(g|g) | ~(~(g)) | 1 | 0 | 1 | 1 | entailment |
(~((y&(u>g)))&(~(w)&(i&o))) | ~(~(g)) | 0 | 1 | 1 | 0 | not entailment |
(g|g) | ((w&w)>o) | 0 | 0 | 0 | 0 | not entailment |
~(((y|(u|u))|(i|((x&~((x&u)))|i)))) | ((u|y)>(((y&(~(u)&g))>(o&g))|(w>~(w)))) | 1 | 0 | 0 | 0 | entailment |
~(((~((((x>x)|w)>o))&g)>(w&x))) | ((((g&o)>((u|u)>o))|~(g))&(o>i)) | 1 | 1 | 0 | 0 | entailment |
~(((y|(u|u))|(i|((x&~((x&u)))|i)))) | ((((g&o)>((u|u)>o))|~(g))&(o>i)) | 0 | 1 | 0 | 0 | not entailment |
~(((~((((x>x)|w)>o))&g)>(w&x))) | ((u|y)>(((y&(~(u)&g))>(o&g))|(w>~(w)))) | 0 | 0 | 0 | 0 | not entailment |
~((((u>u)>g)&g)) | ((g>o)|(y>o)) | 1 | 1 | 0 | 0 | entailment |
((~((i&y))&((x|o)|y))&~((u>o))) | (((i|o)|u)|(((x>y)|o)>u)) | 1 | 1 | 1 | 0 | entailment |
~((((u>u)>g)&g)) | (((i|o)|u)|(((x>y)|o)>u)) | 0 | 0 | 0 | 0 | not entailment |
((~((i&y))&((x|o)|y))&~((u>o))) | ((g>o)|(y>o)) | 0 | 1 | 0 | 0 | not entailment |
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