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 |
|---|---|---|---|---|---|---|
((((r|n)|((r&n)>(n>n)))|(o>((o|o)>f)))&n) | ((o&~((r&n)))|(((r|f)&(((o|o)|r)|n))>r)) | 0 | 1 | 1 | 0 | not entailment |
~(~(((f&n)&n))) | ((f&n)|r) | 1 | 1 | 0 | 0 | entailment |
~((((n>(n&n))|~(((o&n)>(~(o)>f))))>r)) | ((n&r)>~((~(n)>n))) | 1 | 1 | 1 | 1 | entailment |
~(~(((f&n)&n))) | ((n&r)>~((~(n)>n))) | 0 | 0 | 0 | 0 | not entailment |
~((((n>(n&n))|~(((o&n)>(~(o)>f))))>r)) | ((f&n)|r) | 0 | 1 | 1 | 0 | not entailment |
(f&r) | (r|(o>f)) | 1 | 0 | 0 | 0 | entailment |
(o&(r>~(((f&n)>f)))) | (r>o) | 1 | 1 | 1 | 1 | entailment |
(f&r) | (r>o) | 0 | 1 | 0 | 0 | not entailment |
(o&(r>~(((f&n)>f)))) | (r|(o>f)) | 0 | 1 | 1 | 0 | not entailment |
(v&(n>(n>v))) | (((v>(n|((n&n)|v)))>v)|v) | 1 | 0 | 1 | 0 | entailment |
(((~((v|v))&n)|(n|n))&n) | ((v&(n|v))>(v>n)) | 1 | 1 | 1 | 0 | entailment |
(v&(n>(n>v))) | ((v&(n|v))>(v>n)) | 0 | 0 | 1 | 0 | not entailment |
(((~((v|v))&n)|(n|n))&n) | (((v>(n|((n&n)|v)))>v)|v) | 0 | 1 | 1 | 0 | not entailment |
(~(~(v))&~(~((n&(((v|n)&n)|v))))) | ~((~(n)&v)) | 1 | 1 | 1 | 0 | entailment |
(~(~(v))&~(~((n&(((v|n)&n)|v))))) | (v&~(n)) | 0 | 1 | 1 | 0 | not entailment |
~((v>n)) | ~((~(n)&v)) | 0 | 0 | 1 | 0 | not entailment |
(((n|v)|((v&n)&~((v>(n&v)))))|(v&v)) | ((n|(((v&n)>n)&(~((v&v))|n)))>(n|(v|v))) | 1 | 0 | 1 | 1 | entailment |
~(~((v|~((v|((v>(v>v))>(v|(v|n)))))))) | (n>v) | 1 | 1 | 1 | 1 | entailment |
(((n|v)|((v&n)&~((v>(n&v)))))|(v&v)) | (n>v) | 0 | 1 | 1 | 1 | not entailment |
~(~((v|~((v|((v>(v>v))>(v|(v|n)))))))) | ((n|(((v&n)>n)&(~((v&v))|n)))>(n|(v|v))) | 0 | 1 | 1 | 0 | not entailment |
(~(~((v|(v>n))))&(n&(v|(n|n)))) | ((~(v)&~(v))>n) | 1 | 1 | 1 | 1 | entailment |
~((((v|(((v|(v>n))&n)|v))|n)|n)) | ((n&n)>(((v&n)|n)>v)) | 1 | 1 | 1 | 1 | entailment |
(~(~((v|(v>n))))&(n&(v|(n|n)))) | ((n&n)>(((v&n)|n)>v)) | 0 | 1 | 1 | 0 | not entailment |
~((((v|(((v|(v>n))&n)|v))|n)|n)) | ((~(v)&~(v))>n) | 0 | 1 | 1 | 0 | not entailment |
((n>n)&((n&(n>n))|((n&n)|n))) | ~(~((n|n))) | 1 | 1 | 1 | 1 | entailment |
(v|v) | ~((~((~(((n>v)>n))&v))&~((v&v)))) | 1 | 0 | 0 | 0 | entailment |
((n>n)&((n&(n>n))|((n&n)|n))) | ~((~((~(((n>v)>n))&v))&~((v&v)))) | 0 | 0 | 0 | 0 | not entailment |
(v|v) | ~(~((n|n))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(~(((n&n)&n))))>(((n|n)|v)>n))) | (v|(n|v)) | 1 | 1 | 1 | 1 | entailment |
((~(v)|(n&(v&~(n))))&~(v)) | ~((((n|(v>n))>n)&(v&v))) | 1 | 1 | 1 | 1 | entailment |
~((~(~(~(((n&n)&n))))>(((n|n)|v)>n))) | ~((((n|(v>n))>n)&(v&v))) | 0 | 1 | 1 | 0 | not entailment |
((~(v)|(n&(v&~(n))))&~(v)) | (v|(n|v)) | 0 | 1 | 1 | 1 | not entailment |
(n&n) | (n|~((v>(v&((v&n)|n))))) | 1 | 0 | 0 | 0 | entailment |
~(n) | (n|~((v>(v&((v&n)|n))))) | 0 | 0 | 0 | 0 | not entailment |
(n&n) | (n>v) | 0 | 1 | 0 | 0 | not entailment |
~(~(((v&n)&n))) | ((v|n)|~(~((((n>(n|~(n)))|v)&(v&n))))) | 1 | 0 | 1 | 0 | entailment |
~((n&n)) | ~((((~((n>v))>(n>v))&n)&n)) | 1 | 0 | 0 | 0 | entailment |
~(~(((v&n)&n))) | ~((((~((n>v))>(n>v))&n)&n)) | 0 | 0 | 1 | 0 | not entailment |
~((n&n)) | ((v|n)|~(~((((n>(n|~(n)))|v)&(v&n))))) | 0 | 0 | 0 | 0 | not entailment |
(n&v) | (((v&n)>((n&((n|v)&v))|~(~(~(n)))))&v) | 1 | 0 | 1 | 0 | entailment |
~(v) | (v>~((n&n))) | 1 | 0 | 0 | 0 | entailment |
(n&v) | (v>~((n&n))) | 0 | 0 | 1 | 0 | not entailment |
~(v) | (((v&n)>((n&((n|v)&v))|~(~(~(n)))))&v) | 0 | 0 | 0 | 0 | not entailment |
~(((n|(~((~(n)>v))|(n&v)))|~((n>n)))) | (~((n|(v>n)))&~((~(n)&(n&n)))) | 1 | 1 | 1 | 1 | entailment |
~((v&(((n&n)|v)|n))) | (((v|(n&v))&(v|v))>~(v)) | 1 | 0 | 1 | 1 | entailment |
~(((n|(~((~(n)>v))|(n&v)))|~((n>n)))) | (((v|(n&v))&(v|v))>~(v)) | 0 | 1 | 1 | 1 | not entailment |
~((v&(((n&n)|v)|n))) | (~((n|(v>n)))&~((~(n)&(n&n)))) | 0 | 0 | 1 | 0 | not entailment |
(n|((n&n)&v)) | ((~((((n>n)|v)&(v|v)))&v)|(~((n|v))>v)) | 1 | 0 | 1 | 0 | entailment |
~((n&~(~(((((n|n)>v)&n)>v))))) | ~((n&~(~((((v&v)&v)>(v>n)))))) | 1 | 1 | 1 | 1 | entailment |
(n|((n&n)&v)) | ~((n&~(~((((v&v)&v)>(v>n)))))) | 0 | 0 | 1 | 0 | not entailment |
~((n&~(~(((((n|n)>v)&n)>v))))) | ((~((((n>n)|v)&(v|v)))&v)|(~((n|v))>v)) | 0 | 0 | 1 | 1 | not entailment |
((v>n)|(n&n)) | ((v&(n>n))>(v>n)) | 1 | 0 | 1 | 0 | entailment |
((~((n|n))|(~(v)|n))>~(n)) | (((v>n)>(v>(((v>n)&n)|(n|n))))>(n>~(n))) | 1 | 0 | 1 | 0 | entailment |
((v>n)|(n&n)) | (((v>n)>(v>(((v>n)&n)|(n|n))))>(n>~(n))) | 0 | 0 | 1 | 0 | not entailment |
((~((n|n))|(~(v)|n))>~(n)) | ((v&(n>n))>(v>n)) | 0 | 1 | 1 | 0 | not entailment |
~((~((o>j))|~(~((q&q))))) | ~(~(((q&o)|(q>(e|r))))) | 1 | 1 | 0 | 0 | entailment |
(~(~(v))&q) | (~((e|y))|(v|r)) | 1 | 0 | 0 | 0 | entailment |
~((~((o>j))|~(~((q&q))))) | (~((e|y))|(v|r)) | 0 | 1 | 0 | 0 | not entailment |
(~(~(v))&q) | ~(~(((q&o)|(q>(e|r))))) | 0 | 0 | 0 | 0 | not entailment |
((o&(j&v))&v) | ((o|(e>q))&j) | 1 | 1 | 0 | 0 | entailment |
~((~(r)>e)) | (((r|q)>r)>~(((~(r)>q)&((y>v)&(e&o))))) | 1 | 0 | 0 | 0 | entailment |
((o&(j&v))&v) | (((r|q)>r)>~(((~(r)>q)&((y>v)&(e&o))))) | 0 | 0 | 0 | 0 | not entailment |
~((~(r)>e)) | ((o|(e>q))&j) | 0 | 1 | 0 | 0 | not entailment |
~(((~((y&q))>v)>((y|r)|y))) | ((v|j)|~((q|(v&r)))) | 1 | 1 | 0 | 0 | entailment |
~(((r>e)&o)) | (~(((o&j)>r))>q) | 1 | 0 | 0 | 0 | entailment |
~(((~((y&q))>v)>((y|r)|y))) | (~(((o&j)>r))>q) | 0 | 1 | 0 | 0 | not entailment |
~(((r>e)&o)) | ((v|j)|~((q|(v&r)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((y>o)&~((r&(r&r)))))) | ~((((((y&r)&y)&q)&(((r|j)|r)|q))&r)) | 1 | 0 | 0 | 0 | entailment |
~((~(~(q))>~((~((e|e))&((o|r)&j))))) | (((o|r)>j)|(~(q)|(((y>r)&o)>(v|e)))) | 1 | 1 | 0 | 0 | entailment |
~(~(((y>o)&~((r&(r&r)))))) | (((o|r)>j)|(~(q)|(((y>r)&o)>(v|e)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(q))>~((~((e|e))&((o|r)&j))))) | ~((((((y&r)&y)&q)&(((r|j)|r)|q))&r)) | 0 | 1 | 0 | 0 | not entailment |
(~(q)&y) | ((y&y)|~((j&r))) | 1 | 0 | 0 | 0 | entailment |
(~((r>(v&(r&o))))&((q>(j>q))>(e|v))) | (~((j&(v&y)))>(e>(e>r))) | 1 | 1 | 0 | 0 | entailment |
(~(q)&y) | (~((j&(v&y)))>(e>(e>r))) | 0 | 0 | 0 | 0 | not entailment |
(~((r>(v&(r&o))))&((q>(j>q))>(e|v))) | ((y&y)|~((j&r))) | 0 | 1 | 0 | 0 | not entailment |
(((e&j)&~(r))&e) | ((o>r)>(r|j)) | 1 | 1 | 0 | 0 | entailment |
~(j) | (((q|~(j))&~((~(e)|v)))>~((e>j))) | 1 | 0 | 0 | 0 | entailment |
(((e&j)&~(r))&e) | (((q|~(j))&~((~(e)|v)))>~((e>j))) | 0 | 0 | 0 | 0 | not entailment |
~(j) | ((o>r)>(r|j)) | 0 | 0 | 0 | 0 | not entailment |
(j&e) | ((r|q)>(q>(j|(~((r&o))|(e|(v>j)))))) | 1 | 0 | 0 | 0 | entailment |
(((q&((e>q)|r))&y)&((v|q)>o)) | (((~(v)&v)|(((y&y)|j)&j))>(y|v)) | 1 | 0 | 0 | 0 | entailment |
(j&e) | (((~(v)&v)|(((y&y)|j)&j))>(y|v)) | 0 | 0 | 0 | 0 | not entailment |
(((q&((e>q)|r))&y)&((v|q)>o)) | ((r|q)>(q>(j|(~((r&o))|(e|(v>j)))))) | 0 | 0 | 0 | 0 | not entailment |
(((q|e)|(j>v))&(v&(y&o))) | ~(((~((y&e))&(e&r))&(r&(v>q)))) | 1 | 0 | 0 | 0 | entailment |
(j>(y>q)) | (((e>r)>q)|~((y&j))) | 1 | 0 | 0 | 0 | entailment |
(((q|e)|(j>v))&(v&(y&o))) | (((e>r)>q)|~((y&j))) | 0 | 1 | 0 | 0 | not entailment |
(j>(y>q)) | ~(((~((y&e))&(e&r))&(r&(v>q)))) | 0 | 0 | 0 | 0 | not entailment |
(r&o) | ((v>o)|(o&q)) | 1 | 0 | 0 | 0 | entailment |
~((~((q|(v>o)))>o)) | ((((y>e)|q)|v)&(v|q)) | 1 | 1 | 0 | 0 | entailment |
(r&o) | ((((y>e)|q)|v)&(v|q)) | 0 | 0 | 0 | 0 | not entailment |
~((~((q|(v>o)))>o)) | ((v>o)|(o&q)) | 0 | 1 | 1 | 0 | not entailment |
((~(((q|r)|v))>r)>~(q)) | ((~(y)>(j|r))|~((((j|q)&~(r))|q))) | 1 | 0 | 0 | 0 | entailment |
~((((y>~(r))>e)|v)) | (~(~(~(((o>o)&r))))>(~(e)|(y>j))) | 1 | 0 | 0 | 0 | entailment |
((~(((q|r)|v))>r)>~(q)) | (~(~(~(((o>o)&r))))>(~(e)|(y>j))) | 0 | 0 | 0 | 0 | not entailment |
~((((y>~(r))>e)|v)) | ((~(y)>(j|r))|~((((j|q)&~(r))|q))) | 0 | 0 | 0 | 0 | not entailment |
((r|((y&j)&((o&v)&(y>~(y)))))&v) | ((~(j)|~(((j|e)>(o>r))))>(v|o)) | 1 | 1 | 0 | 0 | entailment |
~((v|(y&o))) | ~(((((e>y)&o)|r)&v)) | 1 | 0 | 0 | 0 | entailment |
((r|((y&j)&((o&v)&(y>~(y)))))&v) | ~(((((e>y)&o)|r)&v)) | 0 | 1 | 0 | 0 | not entailment |
~((v|(y&o))) | ((~(j)|~(((j|e)>(o>r))))>(v|o)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((~(q)&~(o))&(v&e)))) | (v|~((q>v))) | 1 | 1 | 1 | 0 | entailment |
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