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 |
|---|---|---|---|---|---|---|
((p&l)&(p&p)) | ((~(~(~((~(l)&p))))&~((l&p)))>(p&l)) | 1 | 0 | 1 | 0 | entailment |
~(((l&(~(p)|l))&(~((l&(p|(p>l))))|p))) | ~(~(~((p&((l|(l|(p&l)))&(p|l)))))) | 1 | 1 | 1 | 1 | entailment |
((p&l)&(p&p)) | ~(~(~((p&((l|(l|(p&l)))&(p|l)))))) | 0 | 0 | 1 | 0 | not entailment |
~(((l&(~(p)|l))&(~((l&(p|(p>l))))|p))) | ((~(~(~((~(l)&p))))&~((l&p)))>(p&l)) | 0 | 1 | 1 | 1 | not entailment |
((q|b)>~(b)) | (~(b)&(((u|q)&~(((u|(q|u))|(q>q))))>b)) | 1 | 0 | 0 | 0 | entailment |
(u|u) | ((u&u)|(b|((u&u)|q))) | 1 | 0 | 0 | 0 | entailment |
((q|b)>~(b)) | ((u&u)|(b|((u&u)|q))) | 0 | 0 | 0 | 0 | not entailment |
(u|u) | (~(b)&(((u|q)&~(((u|(q|u))|(q>q))))>b)) | 0 | 0 | 0 | 0 | not entailment |
(b&(q&~((u|~(b))))) | (q&(~(n)|((b|q)>(q&q)))) | 1 | 0 | 0 | 0 | entailment |
(~(u)>u) | (n|(u|n)) | 1 | 1 | 0 | 0 | entailment |
(b&(q&~((u|~(b))))) | (n|(u|n)) | 0 | 1 | 0 | 0 | not entailment |
(~(u)>u) | (q&(~(n)|((b|q)>(q&q)))) | 0 | 0 | 0 | 0 | not entailment |
(n&~((n&u))) | (((u>(u&n))&(b&u))>q) | 1 | 0 | 0 | 0 | entailment |
(b|u) | (((n>u)|(u&n))|(n>((b|u)|~(n)))) | 1 | 0 | 0 | 0 | entailment |
(n&~((n&u))) | (((n>u)|(u&n))|(n>((b|u)|~(n)))) | 0 | 0 | 0 | 0 | not entailment |
(b|u) | (((u>(u&n))&(b&u))>q) | 0 | 0 | 0 | 0 | not entailment |
(~(~((~((n>u))&b)))&((~(n)|q)>b)) | (((n>n)|q)&b) | 1 | 1 | 1 | 0 | entailment |
(q|(q&b)) | (u|q) | 1 | 1 | 0 | 0 | entailment |
(~(~((~((n>u))&b)))&((~(n)|q)>b)) | (u|q) | 0 | 1 | 1 | 0 | not entailment |
(q|(q&b)) | (((n>n)|q)&b) | 0 | 0 | 0 | 0 | not entailment |
(~(((b>n)&((n|n)|(u&n))))&((b>b)|n)) | (n>~((q&q))) | 1 | 1 | 0 | 0 | entailment |
(n&u) | (((n|q)&((n>u)&u))|((n>u)&q)) | 1 | 0 | 0 | 0 | entailment |
(~(((b>n)&((n|n)|(u&n))))&((b>b)|n)) | (((n|q)&((n>u)&u))|((n>u)&q)) | 0 | 1 | 0 | 0 | not entailment |
(n&u) | (n>~((q&q))) | 0 | 0 | 0 | 0 | not entailment |
~((b>(~((n>q))>u))) | (q>u) | 1 | 1 | 1 | 0 | entailment |
((~(b)&(b>u))&(u|(q|n))) | (((~(q)&u)&(((b|q)>n)|n))|(b>~(b))) | 1 | 0 | 1 | 0 | entailment |
~((b>(~((n>q))>u))) | (((~(q)&u)&(((b|q)>n)|n))|(b>~(b))) | 0 | 0 | 1 | 0 | not entailment |
((~(b)&(b>u))&(u|(q|n))) | (q>u) | 0 | 1 | 1 | 0 | not entailment |
(u&((q|n)|q)) | (n|(u|(~(u)&(q&b)))) | 1 | 0 | 0 | 0 | entailment |
(((b&u)>(((n|q)>n)>n))&~(n)) | ~(((q|u)&((n|n)&u))) | 1 | 1 | 1 | 0 | entailment |
(u&((q|n)|q)) | ~(((q|u)&((n|n)&u))) | 0 | 0 | 1 | 0 | not entailment |
(((b&u)>(((n|q)>n)>n))&~(n)) | (n|(u|(~(u)&(q&b)))) | 0 | 1 | 1 | 0 | not entailment |
(n&~(((n>u)|b))) | (((~(u)>~((q|n)))|n)>~((~((q|n))&b))) | 1 | 0 | 0 | 0 | entailment |
~((b>u)) | ((b&(b|q))&~(~((b|b)))) | 1 | 0 | 0 | 0 | entailment |
(n&~(((n>u)|b))) | ((b&(b|q))&~(~((b|b)))) | 0 | 0 | 0 | 0 | not entailment |
~((b>u)) | (((~(u)>~((q|n)))|n)>~((~((q|n))&b))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(u))) | (u>n) | 1 | 1 | 0 | 0 | entailment |
((n|q)&u) | (u&~(~(u))) | 1 | 0 | 1 | 1 | entailment |
~(~(~(u))) | (u&~(~(u))) | 0 | 1 | 1 | 0 | not entailment |
((n|q)&u) | (u>n) | 0 | 1 | 1 | 0 | not entailment |
~(((q|u)&(((b|b)|(u&b))>b))) | (((u>q)&q)>(n&(n|b))) | 1 | 1 | 0 | 0 | entailment |
((n>~((q|q)))&u) | (u|b) | 1 | 1 | 0 | 0 | entailment |
~(((q|u)&(((b|b)|(u&b))>b))) | (u|b) | 0 | 1 | 1 | 1 | not entailment |
((n>~((q|q)))&u) | (((u>q)&q)>(n&(n|b))) | 0 | 0 | 0 | 0 | not entailment |
~(u) | (((q>n)&u)>((b|n)>(b|b))) | 1 | 0 | 0 | 0 | entailment |
(~(b)|(u&q)) | (((u|~(b))|u)|((b|b)&q)) | 1 | 0 | 1 | 0 | entailment |
~(u) | (((u|~(b))|u)|((b|b)&q)) | 0 | 0 | 0 | 0 | not entailment |
(~(b)|(u&q)) | (((q>n)&u)>((b|n)>(b|b))) | 0 | 0 | 0 | 0 | not entailment |
(n>(q&n)) | (~(u)|(n>q)) | 1 | 0 | 0 | 0 | entailment |
(b&~(((b>n)>(u&(~(n)&q))))) | (q|(u>b)) | 1 | 1 | 1 | 0 | entailment |
(n>(q&n)) | (q|(u>b)) | 0 | 1 | 0 | 0 | not entailment |
(b&~(((b>n)>(u&(~(n)&q))))) | (~(u)|(n>q)) | 0 | 1 | 1 | 0 | not entailment |
~(((q|u)>(u&u))) | (~((u>(u&q)))>~(u)) | 1 | 0 | 1 | 1 | entailment |
((u>((n|q)>((b&b)|u)))>n) | ((~(n)&((n&q)|q))>(u&(b|n))) | 1 | 0 | 1 | 0 | entailment |
~(((q|u)>(u&u))) | ((~(n)&((n&q)|q))>(u&(b|n))) | 0 | 0 | 0 | 0 | not entailment |
((u>((n|q)>((b&b)|u)))>n) | (~((u>(u&q)))>~(u)) | 0 | 1 | 1 | 1 | not entailment |
~((u|(b|((u|b)&u)))) | ~(((~((b&(n|q)))&(n>(q&u)))&n)) | 1 | 0 | 0 | 0 | entailment |
(q&n) | ((q&(u|n))|n) | 1 | 0 | 0 | 0 | entailment |
~((u|(b|((u|b)&u)))) | ((q&(u|n))|n) | 0 | 1 | 0 | 0 | not entailment |
(q&n) | ~(((~((b&(n|q)))&(n>(q&u)))&n)) | 0 | 0 | 0 | 0 | not entailment |
((u>b)|n) | (((~(((q&b)&q))&u)|~(n))>(u>(n|b))) | 1 | 0 | 0 | 0 | entailment |
~(((n|~((u&~(n))))&u)) | (n>~(u)) | 1 | 1 | 1 | 1 | entailment |
((u>b)|n) | (n>~(u)) | 0 | 1 | 1 | 0 | not entailment |
~(((n|~((u&~(n))))&u)) | (((~(((q&b)&q))&u)|~(n))>(u>(n|b))) | 0 | 0 | 0 | 0 | not entailment |
((b|b)&q) | ((q>(n>(n&b)))>(q|b)) | 1 | 0 | 0 | 0 | entailment |
~((~((~(n)|b))|q)) | ((((q&b)&b)&(b&n))>u) | 1 | 1 | 0 | 0 | entailment |
((b|b)&q) | ((((q&b)&b)&(b&n))>u) | 0 | 0 | 0 | 0 | not entailment |
~((~((~(n)|b))|q)) | ((q>(n>(n&b)))>(q|b)) | 0 | 1 | 1 | 0 | not entailment |
((a|(a>a))>((a&a)&a)) | (a|a) | 1 | 1 | 1 | 1 | entailment |
(~(((~(a)|~((a>a)))>(a&a)))|~(a)) | ~(a) | 1 | 1 | 1 | 1 | entailment |
((a|(a>a))>((a&a)&a)) | ~(a) | 0 | 1 | 1 | 1 | not entailment |
(~(((~(a)|~((a>a)))>(a&a)))|~(a)) | (a|a) | 0 | 1 | 1 | 1 | not entailment |
((a&(a|((a>a)>a)))&(a|~(a))) | (a|((a>a)>(~(a)>a))) | 1 | 1 | 1 | 1 | entailment |
~(~(~((a&((~(a)&a)>a))))) | ((a>a)&~((a|a))) | 1 | 1 | 1 | 1 | entailment |
((a&(a|((a>a)>a)))&(a|~(a))) | ((a>a)&~((a|a))) | 0 | 1 | 1 | 1 | not entailment |
~(~(~((a&((~(a)&a)>a))))) | (a|((a>a)>(~(a)>a))) | 0 | 1 | 1 | 1 | not entailment |
(a&a) | ((a&~(a))|(a|((a>a)&a))) | 1 | 0 | 1 | 0 | entailment |
((((a&a)|(a>a))>~((a|a)))&~(a)) | (a>~((a|a))) | 1 | 1 | 1 | 1 | entailment |
(a&a) | (a>~((a|a))) | 0 | 0 | 1 | 0 | not entailment |
((((a&a)|(a>a))>~((a|a)))&~(a)) | ((a&~(a))|(a|((a>a)&a))) | 0 | 1 | 1 | 1 | not entailment |
~(((o|k)|n)) | (((k|(k&o))>z)|~(~(((f|~(t))&~(f))))) | 1 | 0 | 0 | 0 | entailment |
((y|n)>f) | ((((z|(z>(k|n)))|y)&(n|n))|((y>f)|z)) | 1 | 0 | 0 | 0 | entailment |
~(((o|k)|n)) | ((((z|(z>(k|n)))|y)&(n|n))|((y>f)|z)) | 0 | 0 | 0 | 0 | not entailment |
((y|n)>f) | (((k|(k&o))>z)|~(~(((f|~(t))&~(f))))) | 0 | 0 | 0 | 0 | not entailment |
(~(((~((p>k))&f)&((t|t)&(f|~(z)))))&n) | (z>(f>(((t>((y>o)|f))>f)>(n&z)))) | 1 | 1 | 0 | 0 | entailment |
~((f>((y&o)&(t>z)))) | (((z|t)>(z|f))|((o|(t&f))&(k>k))) | 1 | 0 | 0 | 0 | entailment |
(~(((~((p>k))&f)&((t|t)&(f|~(z)))))&n) | (((z|t)>(z|f))|((o|(t&f))&(k>k))) | 0 | 1 | 0 | 0 | not entailment |
~((f>((y&o)&(t>z)))) | (z>(f>(((t>((y>o)|f))>f)>(n&z)))) | 0 | 0 | 0 | 0 | not entailment |
~(~((f&~(o)))) | (o>((~(n)&(((k|n)&~(f))&(z&n)))&y)) | 1 | 0 | 0 | 0 | entailment |
((z&n)&(f|((o>(p&o))>(k|(y>z))))) | (z|n) | 1 | 1 | 1 | 1 | entailment |
~(~((f&~(o)))) | (z|n) | 0 | 1 | 0 | 0 | not entailment |
((z&n)&(f|((o>(p&o))>(k|(y>z))))) | (o>((~(n)&(((k|n)&~(f))&(z&n)))&y)) | 0 | 0 | 1 | 0 | not entailment |
(p|(n&(k|p))) | ((~(z)&~(p))>n) | 1 | 0 | 0 | 0 | entailment |
(k&f) | (t|(~((o|k))>~(z))) | 1 | 0 | 0 | 0 | entailment |
(p|(n&(k|p))) | (t|(~((o|k))>~(z))) | 0 | 0 | 0 | 0 | not entailment |
(k&f) | ((~(z)&~(p))>n) | 0 | 0 | 0 | 0 | not entailment |
(o&(t&p)) | ((z>~(~(t)))|~(k)) | 1 | 0 | 0 | 0 | entailment |
(((y&(~(k)&p))>((~(p)>f)|(p&(o&t))))>n) | ((n&p)|n) | 1 | 1 | 1 | 1 | entailment |
(o&(t&p)) | ((n&p)|n) | 0 | 1 | 0 | 0 | not entailment |
(((y&(~(k)&p))>((~(p)>f)|(p&(o&t))))>n) | ((z>~(~(t)))|~(k)) | 0 | 1 | 0 | 0 | not entailment |
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