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 |
|---|---|---|---|---|---|---|
~((((~(g)|m)&g)>(n|b))) | ~(~(((b&(m>m))&(g|(b|n))))) | 0 | 0 | 1 | 0 | not entailment |
((b|n)&b) | (n>~(g)) | 0 | 1 | 0 | 0 | not entailment |
~((~(b)>(m|g))) | (((n&n)&(b&b))>g) | 1 | 1 | 0 | 0 | entailment |
(((n&m)&b)&(n&~(g))) | (((b|n)&m)&(((((b|b)|g)|m)|n)>(b&m))) | 1 | 0 | 1 | 0 | entailment |
~((~(b)>(m|g))) | (((b|n)&m)&(((((b|b)|g)|m)|n)>(b&m))) | 0 | 0 | 0 | 0 | not entailment |
(((n&m)&b)&(n&~(g))) | (((n&n)&(b&b))>g) | 0 | 1 | 1 | 0 | not entailment |
((m|g)&(~(g)&b)) | ((b|~(n))>((m|m)>(b|b))) | 1 | 0 | 0 | 0 | entailment |
(g|g) | (~((b|((n>(m&n))|n)))|g) | 1 | 0 | 0 | 0 | entailment |
((m|g)&(~(g)&b)) | (~((b|((n>(m&n))|n)))|g) | 0 | 0 | 0 | 0 | not entailment |
(g|g) | ((b|~(n))>((m|m)>(b|b))) | 0 | 0 | 0 | 0 | not entailment |
(((m&b)|b)&~(g)) | (~(~(g))|(n>b)) | 1 | 1 | 0 | 0 | entailment |
(n&((b>b)>((n>n)|b))) | (~(n)>((m>~(n))&m)) | 1 | 1 | 0 | 0 | entailment |
(((m&b)|b)&~(g)) | (~(n)>((m>~(n))&m)) | 0 | 0 | 0 | 0 | not entailment |
(n&((b>b)>((n>n)|b))) | (~(~(g))|(n>b)) | 0 | 1 | 0 | 0 | not entailment |
(~(b)>b) | (m|b) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((((n&b)&(m>g))|n)&n)))) | ((b&n)>~(~((n>~((b|(g&g))))))) | 1 | 1 | 1 | 1 | entailment |
(~(b)>b) | ((b&n)>~(~((n>~((b|(g&g))))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((((n&b)&(m>g))|n)&n)))) | (m|b) | 0 | 1 | 1 | 0 | not entailment |
(b&b) | ~(~(~(~((m|b))))) | 1 | 0 | 0 | 0 | entailment |
(n|g) | (~(g)>((m>g)|~(~(n)))) | 1 | 0 | 0 | 0 | entailment |
(b&b) | (~(g)>((m>g)|~(~(n)))) | 0 | 0 | 0 | 0 | not entailment |
(n|g) | ~(~(~(~((m|b))))) | 0 | 0 | 0 | 0 | not entailment |
((b|b)&(n>~(~(~(m))))) | ((m>(b>m))&b) | 1 | 1 | 1 | 0 | entailment |
~((~((~(m)|m))|(n>m))) | ~(m) | 1 | 1 | 1 | 1 | entailment |
((b|b)&(n>~(~(~(m))))) | ~(m) | 0 | 1 | 1 | 1 | not entailment |
~((~((~(m)|m))|(n>m))) | ((m>(b>m))&b) | 0 | 1 | 0 | 0 | not entailment |
((g&b)|b) | (b|(m>b)) | 1 | 1 | 0 | 0 | entailment |
(n&(~(g)&m)) | (~(~((((~(b)|b)&g)>(n>(g&m)))))|m) | 1 | 0 | 0 | 0 | entailment |
((g&b)|b) | (~(~((((~(b)|b)&g)>(n>(g&m)))))|m) | 0 | 0 | 0 | 0 | not entailment |
(n&(~(g)&m)) | (b|(m>b)) | 0 | 1 | 0 | 0 | not entailment |
((g&b)|~((~(m)|(m|b)))) | ((b&g)|~((g&((m&(b|(b|m)))|m)))) | 1 | 0 | 1 | 0 | entailment |
(((~(g)>b)&(~(b)&n))&~(~(n))) | (b>~((g&m))) | 1 | 1 | 0 | 0 | entailment |
((g&b)|~((~(m)|(m|b)))) | (b>~((g&m))) | 0 | 1 | 1 | 0 | not entailment |
(((~(g)>b)&(~(b)&n))&~(~(n))) | ((b&g)|~((g&((m&(b|(b|m)))|m)))) | 0 | 1 | 0 | 0 | not entailment |
((~(g)>(g>n))>b) | ((~(g)>b)|(m>~((g|(((g&b)>b)|b))))) | 1 | 0 | 0 | 0 | entailment |
((m|b)&(n|~((g>((m>g)|b))))) | (n|((g>~((g&~(m))))&~(n))) | 1 | 1 | 1 | 0 | entailment |
((~(g)>(g>n))>b) | (n|((g>~((g&~(m))))&~(n))) | 0 | 0 | 0 | 0 | not entailment |
((m|b)&(n|~((g>((m>g)|b))))) | ((~(g)>b)|(m>~((g|(((g&b)>b)|b))))) | 0 | 0 | 1 | 0 | not entailment |
~(m) | ~((m|m)) | 1 | 0 | 1 | 1 | entailment |
(m&~((((g|(m|(m|b)))>(((m|b)>m)>g))|b))) | (((n>n)>g)>(b>(g&m))) | 1 | 1 | 0 | 0 | entailment |
~(m) | (((n>n)>g)>(b>(g&m))) | 0 | 0 | 0 | 0 | not entailment |
(m&~((((g|(m|(m|b)))>(((m|b)>m)>g))|b))) | ~((m|m)) | 0 | 1 | 1 | 1 | not entailment |
(~(((m>g)>g))|((b&m)&n)) | ((m|g)>m) | 1 | 1 | 1 | 1 | entailment |
(b&n) | ~(~((n|b))) | 1 | 0 | 1 | 1 | entailment |
(~(((m>g)>g))|((b&m)&n)) | ~(~((n|b))) | 0 | 1 | 1 | 1 | not entailment |
(b&n) | ((m|g)>m) | 0 | 0 | 0 | 0 | not entailment |
((~(~(~(~(g))))>(~(~(~(b)))&m))|m) | ((~(g)|m)|(g&m)) | 1 | 1 | 1 | 0 | entailment |
((b|n)&b) | ((((n|n)>m)&((m|n)|~(g)))>b) | 1 | 0 | 0 | 0 | entailment |
((~(~(~(~(g))))>(~(~(~(b)))&m))|m) | ((((n|n)>m)&((m|n)|~(g)))>b) | 0 | 1 | 0 | 0 | not entailment |
((b|n)&b) | ((~(g)|m)|(g&m)) | 0 | 0 | 0 | 0 | not entailment |
(b&~((b&g))) | (~(n)|(g>(b&n))) | 1 | 0 | 0 | 0 | entailment |
((b>(n>(b|(b>g))))>~(~(~(~((g|g)))))) | (~(((g|b)&m))|(((m>m)|~(n))>((b>n)>g))) | 1 | 1 | 0 | 0 | entailment |
(b&~((b&g))) | (~(((g|b)&m))|(((m>m)|~(n))>((b>n)>g))) | 0 | 0 | 0 | 0 | not entailment |
((b>(n>(b|(b>g))))>~(~(~(~((g|g)))))) | (~(n)|(g>(b&n))) | 0 | 1 | 1 | 0 | not entailment |
(((e|y)&(r|r))&(y|(r>~(r)))) | ((((e>r)>y)&y)&(((y&e)>(r&r))|y)) | 1 | 0 | 1 | 0 | entailment |
~((((((y>e)|y)|~(r))>((r|y)&r))&r)) | ~(~(((r|r)>e))) | 1 | 1 | 1 | 1 | entailment |
(((e|y)&(r|r))&(y|(r>~(r)))) | ~(~(((r|r)>e))) | 0 | 1 | 1 | 1 | not entailment |
~((((((y>e)|y)|~(r))>((r|y)&r))&r)) | ((((e>r)>y)&y)&(((y&e)>(r&r))|y)) | 0 | 1 | 1 | 0 | not entailment |
((e|y)&y) | (((r&y)|~(r))&(y|((r|e)>(y>e)))) | 1 | 0 | 0 | 0 | entailment |
~(((r&e)>y)) | ((y&e)|r) | 1 | 1 | 1 | 0 | entailment |
((e|y)&y) | ((y&e)|r) | 0 | 1 | 0 | 0 | not entailment |
~(((r&e)>y)) | (((r&y)|~(r))&(y|((r|e)>(y>e)))) | 0 | 0 | 1 | 0 | not entailment |
(e|~((~((y&r))|((y&e)|y)))) | ((e|r)|~(~(y))) | 1 | 1 | 1 | 1 | entailment |
~(((~(y)>(e|e))|r)) | (e>(e&r)) | 1 | 1 | 1 | 0 | entailment |
(e|~((~((y&r))|((y&e)|y)))) | (e>(e&r)) | 0 | 1 | 1 | 1 | not entailment |
~(((~(y)>(e|e))|r)) | ((e|r)|~(~(y))) | 0 | 1 | 1 | 0 | not entailment |
((r|~((r>e)))|r) | (r|(((y>y)|e)>(e>y))) | 1 | 0 | 0 | 0 | entailment |
(~(~((y>(r>(y|(e>y))))))&e) | (~((((y>~((r&e)))|y)>y))>e) | 1 | 1 | 1 | 0 | entailment |
((r|~((r>e)))|r) | (~((((y>~((r&e)))|y)>y))>e) | 0 | 0 | 0 | 0 | not entailment |
(~(~((y>(r>(y|(e>y))))))&e) | (r|(((y>y)|e)>(e>y))) | 0 | 1 | 1 | 0 | not entailment |
(e&y) | ((e>e)>((~(~(e))>y)|(((e&y)|y)&y))) | 1 | 0 | 1 | 0 | entailment |
((r>(r>(r&e)))&~((r&e))) | ~(((r&r)&(e|e))) | 1 | 1 | 1 | 1 | entailment |
(e&y) | ~(((r&r)&(e|e))) | 0 | 0 | 0 | 0 | not entailment |
((r>(r>(r&e)))&~((r&e))) | ((e>e)>((~(~(e))>y)|(((e&y)|y)&y))) | 0 | 0 | 0 | 0 | not entailment |
(y&(e&r)) | (y|y) | 1 | 1 | 1 | 1 | entailment |
~((~((e&(r>e)))|y)) | ~(y) | 1 | 1 | 1 | 1 | entailment |
(y&(e&r)) | ~(y) | 0 | 1 | 1 | 0 | not entailment |
~((~((e&(r>e)))|y)) | (y|y) | 0 | 1 | 1 | 0 | not entailment |
(e&~(r)) | ((r>r)&(~(~((~((y>e))|e)))|(r>e))) | 1 | 0 | 0 | 0 | entailment |
(((r|~(~(e)))&r)&r) | (e>r) | 1 | 1 | 1 | 0 | entailment |
(e&~(r)) | (e>r) | 0 | 1 | 1 | 0 | not entailment |
(((r|~(~(e)))&r)&r) | ((r>r)&(~(~((~((y>e))|e)))|(r>e))) | 0 | 0 | 0 | 0 | not entailment |
((e&r)&(y|r)) | ~(~((~((y|e))>(r>y)))) | 1 | 0 | 1 | 0 | entailment |
((e&e)>((y&y)|~((~((y|y))&e)))) | ~(~(((y&e)|(r>~(e))))) | 1 | 1 | 0 | 0 | entailment |
((e&r)&(y|r)) | ~(~(((y&e)|(r>~(e))))) | 0 | 0 | 1 | 0 | not entailment |
((e&e)>((y&y)|~((~((y|y))&e)))) | ~(~((~((y|e))>(r>y)))) | 0 | 1 | 0 | 0 | not entailment |
~((r|(e|~(y)))) | ~((((e|y)>y)>(~(y)&r))) | 1 | 0 | 1 | 0 | entailment |
((((r&r)|r)|((r&(r>r))|e))&((e|r)>r)) | ((e&e)|r) | 1 | 1 | 1 | 1 | entailment |
~((r|(e|~(y)))) | ((e&e)|r) | 0 | 1 | 1 | 0 | not entailment |
((((r&r)|r)|((r&(r>r))|e))&((e|r)>r)) | ~((((e|y)>y)>(~(y)&r))) | 0 | 1 | 0 | 0 | not entailment |
(((r|e)>e)&~((e&y))) | (r>e) | 1 | 1 | 1 | 1 | entailment |
((y>(~((r>r))&y))&~(~(((r|e)|y)))) | (((y|r)>((y&e)&r))|(((y>y)>(r&r))|e)) | 1 | 1 | 1 | 1 | entailment |
(((r|e)>e)&~((e&y))) | (((y|r)>((y&e)&r))|(((y>y)>(r&r))|e)) | 0 | 0 | 1 | 0 | not entailment |
((y>(~((r>r))&y))&~(~(((r|e)|y)))) | (r>e) | 0 | 1 | 1 | 1 | not entailment |
((e|(r&e))&(((~(e)|y)>(y&((y>y)|y)))>y)) | (((e|r)|e)|((r>y)>((e|(r&y))|~(y)))) | 1 | 1 | 1 | 1 | entailment |
~((((r|y)|(y|r))&(((r>e)&y)>~(~(r))))) | (~(r)|((e>r)>~(y))) | 1 | 1 | 1 | 1 | entailment |
((e|(r&e))&(((~(e)|y)>(y&((y>y)|y)))>y)) | (~(r)|((e>r)>~(y))) | 0 | 1 | 1 | 0 | not entailment |
~((((r|y)|(y|r))&(((r>e)&y)>~(~(r))))) | (((e|r)|e)|((r>y)>((e|(r&y))|~(y)))) | 0 | 1 | 1 | 0 | not entailment |
(y|~(r)) | ((e|((r>y)|y))|~((y>r))) | 1 | 0 | 0 | 0 | entailment |
(r|(y&(y&e))) | (y>(r|(e&y))) | 1 | 1 | 1 | 0 | entailment |
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