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 |
|---|---|---|---|---|---|---|
(~(e)&o) | (v>((v|(v&v))&(j&((e|j)&v)))) | 0 | 0 | 0 | 0 | not entailment |
(((j&(u|o))&((b|u)>v))&(e|u)) | (b|o) | 0 | 1 | 1 | 0 | not entailment |
~((v|((~(~(b))&(o|o))>((v&e)&v)))) | ((v&((o|b)>(((j>o)>b)&b)))>~((v&(b|e)))) | 1 | 0 | 0 | 0 | entailment |
((~(b)>o)&((~(u)&j)&((u>(v>(o>j)))&v))) | ((o>~(((j|o)&v)))>(u>e)) | 1 | 1 | 0 | 0 | entailment |
~((v|((~(~(b))&(o|o))>((v&e)&v)))) | ((o>~(((j|o)&v)))>(u>e)) | 0 | 1 | 0 | 0 | not entailment |
((~(b)>o)&((~(u)&j)&((u>(v>(o>j)))&v))) | ((v&((o|b)>(((j>o)>b)&b)))>~((v&(b|e)))) | 0 | 1 | 0 | 0 | not entailment |
((j|u)&(~(b)|(e|(e>u)))) | (~(~(u))|(j&j)) | 1 | 1 | 1 | 1 | entailment |
~(((b&v)>((~(e)&b)>(b>(o>j))))) | (b|((o&o)|~((v|o)))) | 1 | 1 | 1 | 0 | entailment |
((j|u)&(~(b)|(e|(e>u)))) | (b|((o&o)|~((v|o)))) | 0 | 1 | 0 | 0 | not entailment |
~(((b&v)>((~(e)&b)>(b>(o>j))))) | (~(~(u))|(j&j)) | 0 | 1 | 0 | 0 | not entailment |
(((u|j)&v)|(o>u)) | (o>((u|j)|(((v>~(j))&o)>(v>e)))) | 1 | 0 | 0 | 0 | entailment |
(o|v) | (~(~((e>o)))|(v|(j|(b&~(~((b>v))))))) | 1 | 0 | 0 | 0 | entailment |
(((u|j)&v)|(o>u)) | (~(~((e>o)))|(v|(j|(b&~(~((b>v))))))) | 0 | 0 | 0 | 0 | not entailment |
(o|v) | (o>((u|j)|(((v>~(j))&o)>(v>e)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(u)) | (v|((~(~((j>o)))>u)&(j|u))) | 1 | 0 | 0 | 0 | entailment |
((o>(b&u))>o) | ~((~(((o>o)>o))&(v>(e&(v&j))))) | 1 | 0 | 0 | 0 | entailment |
~(~(u)) | ~((~(((o>o)>o))&(v>(e&(v&j))))) | 0 | 0 | 0 | 0 | not entailment |
((o>(b&u))>o) | (v|((~(~((j>o)))>u)&(j|u))) | 0 | 0 | 0 | 0 | not entailment |
((o&e)&(~((v&v))|j)) | (~(~((~(e)|~(e))))>~(((v|j)>v))) | 1 | 0 | 1 | 0 | entailment |
(u&b) | ~(~((~(~(j))>b))) | 1 | 0 | 0 | 0 | entailment |
((o&e)&(~((v&v))|j)) | ~(~((~(~(j))>b))) | 0 | 1 | 0 | 0 | not entailment |
(u&b) | (~(~((~(e)|~(e))))>~(((v|j)>v))) | 0 | 0 | 0 | 0 | not entailment |
(b&(b>(u&o))) | ((o|o)|j) | 1 | 1 | 0 | 0 | entailment |
(v>(~((o|(e&u)))&~((v|j)))) | ~((v&((v&u)|~(((u|~(e))>e))))) | 1 | 0 | 1 | 0 | entailment |
(b&(b>(u&o))) | ~((v&((v&u)|~(((u|~(e))>e))))) | 0 | 0 | 0 | 0 | not entailment |
(v>(~((o|(e&u)))&~((v|j)))) | ((o|o)|j) | 0 | 1 | 1 | 0 | not entailment |
((e&j)&e) | ~(~(j)) | 1 | 1 | 1 | 1 | entailment |
(((e>b)&(v|e))&(u&u)) | (~(~((e>~((j&o)))))|(b|(e>u))) | 1 | 0 | 0 | 0 | entailment |
((e&j)&e) | (~(~((e>~((j&o)))))|(b|(e>u))) | 0 | 0 | 0 | 0 | not entailment |
(((e>b)&(v|e))&(u&u)) | ~(~(j)) | 0 | 1 | 0 | 0 | not entailment |
~((u>((b|((e&o)>(j&j)))|j))) | ((~(o)&(b|(v>j)))|o) | 1 | 1 | 0 | 0 | entailment |
((~(b)|~(((~(u)&o)&v)))&(v&(b>o))) | (~(~((j>(((b|b)>v)>v))))>(v|v)) | 1 | 1 | 0 | 0 | entailment |
~((u>((b|((e&o)>(j&j)))|j))) | (~(~((j>(((b|b)>v)>v))))>(v|v)) | 0 | 0 | 0 | 0 | not entailment |
((~(b)|~(((~(u)&o)&v)))&(v&(b>o))) | ((~(o)&(b|(v>j)))|o) | 0 | 1 | 0 | 0 | not entailment |
(v&u) | (((o|~(o))&(j>(e&u)))|((j&j)&u)) | 1 | 0 | 0 | 0 | entailment |
~((~((e&o))>(((u>j)>j)>(o>v)))) | (((j|u)>(j|o))|o) | 1 | 1 | 1 | 0 | entailment |
(v&u) | (((j|u)>(j|o))|o) | 0 | 0 | 0 | 0 | not entailment |
~((~((e&o))>(((u>j)>j)>(o>v)))) | (((o|~(o))&(j>(e&u)))|((j&j)&u)) | 0 | 1 | 1 | 0 | not entailment |
(~((v|b))&((~(v)|e)|v)) | (((o|u)>j)|((o&(u&j))|(o>~((o>v))))) | 1 | 0 | 0 | 0 | entailment |
~((b|~((u>o)))) | ~((~(o)&((o>u)&u))) | 1 | 0 | 1 | 1 | entailment |
(~((v|b))&((~(v)|e)|v)) | ~((~(o)&((o>u)&u))) | 0 | 1 | 0 | 0 | not entailment |
~((b|~((u>o)))) | (((o|u)>j)|((o&(u&j))|(o>~((o>v))))) | 0 | 0 | 0 | 0 | not entailment |
(e&(o&b)) | ((j|~(o))>o) | 1 | 0 | 0 | 0 | entailment |
(j&~(o)) | ((((b|(u&j))|j)|(e&(v|o)))&(o>(~(e)|v))) | 1 | 0 | 0 | 0 | entailment |
(e&(o&b)) | ((((b|(u&j))|j)|(e&(v|o)))&(o>(~(e)|v))) | 0 | 0 | 0 | 0 | not entailment |
(j&~(o)) | ((j|~(o))>o) | 0 | 0 | 1 | 0 | not entailment |
~((~(((b>(o|b))>o))>((v>(e>e))&(b|e)))) | (b>(~(o)>u)) | 1 | 1 | 0 | 0 | entailment |
(v&(j|~(~((o&e))))) | (~((v|v))>o) | 1 | 1 | 1 | 1 | entailment |
~((~(((b>(o|b))>o))>((v>(e>e))&(b|e)))) | (~((v|v))>o) | 0 | 1 | 1 | 1 | not entailment |
(v&(j|~(~((o&e))))) | (b>(~(o)>u)) | 0 | 1 | 0 | 0 | not entailment |
(v&~(~(e))) | (~(b)|((~(e)&b)>~((((o|v)>(o|u))&o)))) | 1 | 0 | 0 | 0 | entailment |
(((e&o)|o)&(b|~(~((~((u|u))|(u|o)))))) | ((((~(o)>(~(b)|j))|(u|(j&b)))|o)|o) | 1 | 1 | 0 | 0 | entailment |
(v&~(~(e))) | ((((~(o)>(~(b)|j))|(u|(j&b)))|o)|o) | 0 | 0 | 0 | 0 | not entailment |
(((e&o)|o)&(b|~(~((~((u|u))|(u|o)))))) | (~(b)|((~(e)&b)>~((((o|v)>(o|u))&o)))) | 0 | 1 | 0 | 0 | not entailment |
((~((i&r))|o)>(~(r)>(q&r))) | ((i&(o|i))|(r|(o&(q|(i&r))))) | 1 | 1 | 1 | 0 | entailment |
(~((r|q))&o) | ((i&(o|o))|(~(q)&((((r|o)>r)&(q&o))>q))) | 1 | 0 | 0 | 0 | entailment |
((~((i&r))|o)>(~(r)>(q&r))) | ((i&(o|o))|(~(q)&((((r|o)>r)&(q&o))>q))) | 0 | 0 | 1 | 0 | not entailment |
(~((r|q))&o) | ((i&(o|i))|(r|(o&(q|(i&r))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(((i&(i|o))&~(i))))|((i>o)&i)) | ((((i|r)&q)|q)>o) | 1 | 1 | 0 | 0 | entailment |
(~(~(((i|~(q))|i)))&q) | ((r>(((((r>r)|o)|r)>q)&r))&((o&q)|i)) | 1 | 0 | 0 | 0 | entailment |
(~(~(((i&(i|o))&~(i))))|((i>o)&i)) | ((r>(((((r>r)|o)|r)>q)&r))&((o&q)|i)) | 0 | 1 | 0 | 0 | not entailment |
(~(~(((i|~(q))|i)))&q) | ((((i|r)&q)|q)>o) | 0 | 1 | 0 | 0 | not entailment |
(q>~((r>i))) | ((q>r)|(q>i)) | 1 | 1 | 1 | 0 | entailment |
((q|q)&o) | ~(~(q)) | 1 | 1 | 1 | 1 | entailment |
(q>~((r>i))) | ~(~(q)) | 0 | 1 | 1 | 0 | not entailment |
((q|q)&o) | ((q>r)|(q>i)) | 0 | 0 | 0 | 0 | not entailment |
~((i>(((r|~((i>q)))|~((r&o)))&(q&q)))) | (~((q&q))|(i&((q&o)|i))) | 1 | 1 | 1 | 1 | entailment |
(r&~(~(o))) | ((o|r)>r) | 1 | 1 | 1 | 0 | entailment |
~((i>(((r|~((i>q)))|~((r&o)))&(q&q)))) | ((o|r)>r) | 0 | 1 | 1 | 0 | not entailment |
(r&~(~(o))) | (~((q&q))|(i&((q&o)|i))) | 0 | 0 | 0 | 0 | not entailment |
~((~(i)>((~((r>r))|~(q))>o))) | ~(~(~((o&i)))) | 1 | 1 | 1 | 1 | entailment |
(~(r)&(((q&i)>~(i))>((q|q)&r))) | (o|((o>(~(q)&o))>~((q>r)))) | 1 | 1 | 0 | 0 | entailment |
~((~(i)>((~((r>r))|~(q))>o))) | (o|((o>(~(q)&o))>~((q>r)))) | 0 | 1 | 1 | 0 | not entailment |
(~(r)&(((q&i)>~(i))>((q|q)&r))) | ~(~(~((o&i)))) | 0 | 1 | 0 | 0 | not entailment |
(i&r) | ((r|o)&(i&(o>(o&i)))) | 1 | 0 | 0 | 0 | entailment |
(q&i) | (q|(((o>i)|i)>o)) | 1 | 0 | 0 | 0 | entailment |
(i&r) | (q|(((o>i)|i)>o)) | 0 | 0 | 0 | 0 | not entailment |
(q&i) | ((r|o)&(i&(o>(o&i)))) | 0 | 0 | 0 | 0 | not entailment |
~(~((r&((o>i)>o)))) | (~((~(r)&(o&q)))|(q&(r&o))) | 1 | 0 | 0 | 0 | entailment |
((i&q)&~((q&r))) | ~((~(~(q))>(r&o))) | 1 | 0 | 0 | 0 | entailment |
~(~((r&((o>i)>o)))) | ~((~(~(q))>(r&o))) | 0 | 1 | 0 | 0 | not entailment |
((i&q)&~((q&r))) | (~((~(r)&(o&q)))|(q&(r&o))) | 0 | 0 | 0 | 0 | not entailment |
~((((~(i)&(~(i)|r))&o)|~(o))) | (q|((i|q)|(i|((o|r)>r)))) | 1 | 1 | 0 | 0 | entailment |
~(i) | ((q&(i|i))>(o&r)) | 1 | 0 | 0 | 0 | entailment |
~((((~(i)&(~(i)|r))&o)|~(o))) | ((q&(i|i))>(o&r)) | 0 | 1 | 0 | 0 | not entailment |
~(i) | (q|((i|q)|(i|((o|r)>r)))) | 0 | 0 | 0 | 0 | not entailment |
(((q&r)&(i&~(i)))|(((q&~(q))&r)|r)) | ((i&r)|((i>q)|~(((r&q)>i)))) | 1 | 1 | 1 | 1 | entailment |
((r>q)|o) | ((r>o)|(q&q)) | 1 | 0 | 1 | 1 | entailment |
(((q&r)&(i&~(i)))|(((q&~(q))&r)|r)) | ((r>o)|(q&q)) | 0 | 1 | 0 | 0 | not entailment |
((r>q)|o) | ((i&r)|((i>q)|~(((r&q)>i)))) | 0 | 0 | 0 | 0 | not entailment |
((o>(q&r))&((r|((r|q)|(r&o)))&(i>o))) | (~((o&~((~(i)&(o>q)))))>(i>q)) | 1 | 1 | 1 | 0 | entailment |
~((~(~((o|r)))>q)) | (((i|~(q))&~((o&(q&r))))|o) | 1 | 0 | 0 | 0 | entailment |
((o>(q&r))&((r|((r|q)|(r&o)))&(i>o))) | (((i|~(q))&~((o&(q&r))))|o) | 0 | 1 | 1 | 0 | not entailment |
~((~(~((o|r)))>q)) | (~((o&~((~(i)&(o>q)))))>(i>q)) | 0 | 0 | 0 | 0 | not entailment |
(~((~(o)&r))&(((q|q)&i)&o)) | (o|r) | 1 | 1 | 1 | 0 | entailment |
~((r|o)) | ~((o|o)) | 1 | 1 | 1 | 1 | entailment |
(~((~(o)&r))&(((q|q)&i)&o)) | ~((o|o)) | 0 | 1 | 1 | 0 | not entailment |
~((r|o)) | (o|r) | 0 | 1 | 1 | 0 | not entailment |
(((q>i)&(~(r)&q))&(i|(~((q|q))&i))) | (i|o) | 1 | 1 | 0 | 0 | entailment |
~(((i|((o&i)>q))&(((o&q)>o)&o))) | ~((~((q>(o|q)))|((o|(i&q))&o))) | 1 | 1 | 1 | 1 | entailment |
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