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 |
|---|---|---|---|---|---|---|
((z&~(l))&(z|(~(q)&l))) | ((l&q)|(q&~((l&e)))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((e>~(((z>e)|z)))))) | (l>e) | 1 | 1 | 0 | 0 | entailment |
(((q>q)|((q|q)>q))&(((q>l)>l)|(q|l))) | ((~((l|q))|q)>q) | 1 | 1 | 1 | 1 | entailment |
~(~(~((e>~(((z>e)|z)))))) | ((~((l|q))|q)>q) | 0 | 1 | 0 | 0 | not entailment |
(((q>q)|((q|q)>q))&(((q>l)>l)|(q|l))) | (l>e) | 0 | 1 | 0 | 0 | not entailment |
(e&(z>z)) | (((q>e)>~((l|e)))>(~(((l&e)|l))>(e|e))) | 1 | 0 | 0 | 0 | entailment |
~(((l&e)|~((q&(z|q))))) | ((~(q)>~(~(l)))|~(e)) | 1 | 1 | 1 | 0 | entailment |
(e&(z>z)) | ((~(q)>~(~(l)))|~(e)) | 0 | 0 | 0 | 0 | not entailment |
~(((l&e)|~((q&(z|q))))) | (((q>e)>~((l|e)))>(~(((l&e)|l))>(e|e))) | 0 | 0 | 1 | 0 | not entailment |
((l&q)&(~(e)>~((e>q)))) | ((((~(z)|e)|e)|(l>z))>l) | 1 | 1 | 0 | 0 | entailment |
((z&~((e&((z>e)>z))))&(z&((l&q)|z))) | (z&((l&z)>z)) | 1 | 1 | 1 | 0 | entailment |
((l&q)&(~(e)>~((e>q)))) | (z&((l&z)>z)) | 0 | 1 | 0 | 0 | not entailment |
((z&~((e&((z>e)>z))))&(z&((l&q)|z))) | ((((~(z)|e)|e)|(l>z))>l) | 0 | 1 | 1 | 1 | not entailment |
(q&~((e&~(q)))) | (~(((z&q)&((z&(z>l))|e)))>q) | 1 | 0 | 0 | 0 | entailment |
(((e|l)&~(l))&(q>l)) | ~(~((((q|q)|~(~(l)))>(l>z)))) | 1 | 0 | 0 | 0 | entailment |
(q&~((e&~(q)))) | ~(~((((q|q)|~(~(l)))>(l>z)))) | 0 | 0 | 0 | 0 | not entailment |
(((e|l)&~(l))&(q>l)) | (~(((z&q)&((z&(z>l))|e)))>q) | 0 | 0 | 0 | 0 | not entailment |
((l>~(z))>z) | ~(~(((~(z)>e)>((q&l)|(z|((z|e)>q)))))) | 1 | 0 | 0 | 0 | entailment |
~(((((e&l)|(e&z))&l)>q)) | (((z>z)&l)&e) | 1 | 1 | 1 | 0 | entailment |
((l>~(z))>z) | (((z>z)&l)&e) | 0 | 1 | 0 | 0 | not entailment |
~(((((e&l)|(e&z))&l)>q)) | ~(~(((~(z)>e)>((q&l)|(z|((z|e)>q)))))) | 0 | 0 | 1 | 0 | not entailment |
(~(((e>q)&(~(e)|l)))&(q|q)) | (((l>((e|e)|(e|e)))|~(~(z)))&(z>z)) | 1 | 0 | 0 | 0 | entailment |
(l&(q|(~(e)>q))) | ((((l&q)|e)&l)&((l>((e|e)|q))|e)) | 1 | 0 | 1 | 0 | entailment |
(~(((e>q)&(~(e)|l)))&(q|q)) | ((((l&q)|e)&l)&((l>((e|e)|q))|e)) | 0 | 0 | 1 | 0 | not entailment |
(l&(q|(~(e)>q))) | (((l>((e|e)|(e|e)))|~(~(z)))&(z>z)) | 0 | 0 | 0 | 0 | not entailment |
(q|(q|q)) | ((((z>(l>(z>q)))>(e&l))>e)&((z&l)>l)) | 1 | 0 | 0 | 0 | entailment |
((z&(l|l))&(l&(q|z))) | (l>z) | 1 | 1 | 1 | 0 | entailment |
(q|(q|q)) | (l>z) | 0 | 1 | 0 | 0 | not entailment |
((z&(l|l))&(l&(q|z))) | ((((z>(l>(z>q)))>(e&l))>e)&((z&l)>l)) | 0 | 0 | 0 | 0 | not entailment |
(((z|z)&((q&e)&(q|z)))|(~(l)&q)) | ((((e>(z>e))&e)>(e>q))|~((e>e))) | 1 | 1 | 1 | 0 | entailment |
(~((l&(z|q)))>~(~(l))) | (l|~(((e|l)|(q|e)))) | 1 | 1 | 0 | 0 | entailment |
(((z|z)&((q&e)&(q|z)))|(~(l)&q)) | (l|~(((e|l)|(q|e)))) | 0 | 1 | 1 | 0 | not entailment |
(~((l&(z|q)))>~(~(l))) | ((((e>(z>e))&e)>(e>q))|~((e>e))) | 0 | 0 | 0 | 0 | not entailment |
(q&((l>l)>~(l))) | (~(q)>((l>z)|((l|((q|q)|e))>((e|e)|e)))) | 1 | 0 | 0 | 0 | entailment |
~(((e|z)&~((z|~((~(z)|~(l))))))) | (e>(z|l)) | 1 | 1 | 1 | 1 | entailment |
(q&((l>l)>~(l))) | (e>(z|l)) | 0 | 1 | 0 | 0 | not entailment |
~(((e|z)&~((z|~((~(z)|~(l))))))) | (~(q)>((l>z)|((l|((q|q)|e))>((e|e)|e)))) | 0 | 0 | 0 | 0 | not entailment |
(e&(z&e)) | (((e|e)>e)&(e|e)) | 1 | 0 | 1 | 0 | entailment |
((q|q)>~(z)) | ((z>(q>((z|(l&e))>(q>l))))|~((z|(z&q)))) | 1 | 0 | 0 | 0 | entailment |
(e&(z&e)) | ((z>(q>((z|(l&e))>(q>l))))|~((z|(z&q)))) | 0 | 0 | 0 | 0 | not entailment |
((q|q)>~(z)) | (((e|e)>e)&(e|e)) | 0 | 0 | 0 | 0 | not entailment |
((e&(e>l))&((((z>q)>q)|q)|((q>z)&q))) | (l|q) | 1 | 1 | 1 | 1 | entailment |
~(e) | ((q&e)>z) | 1 | 0 | 0 | 0 | entailment |
((e&(e>l))&((((z>q)>q)|q)|((q>z)&q))) | ((q&e)>z) | 0 | 1 | 1 | 1 | not entailment |
~(e) | (l|q) | 0 | 1 | 0 | 0 | not entailment |
(~((l>(z|q)))&(z>(l|~(~((z&q)))))) | (l&(q>(~(q)|(e&q)))) | 1 | 1 | 0 | 0 | entailment |
(z&((e>((z>(q&e))>q))&(l>l))) | (z|(z|e)) | 1 | 1 | 1 | 0 | entailment |
(~((l>(z|q)))&(z>(l|~(~((z&q)))))) | (z|(z|e)) | 0 | 1 | 0 | 0 | not entailment |
(z&((e>((z>(q&e))>q))&(l>l))) | (l&(q>(~(q)|(e&q)))) | 0 | 1 | 1 | 0 | not entailment |
(q&(l&(((e|q)>q)&e))) | (~(z)|l) | 1 | 1 | 0 | 0 | entailment |
~((z&(z>(z>e)))) | (z>~(((q&l)&((q&l)>e)))) | 1 | 0 | 0 | 0 | entailment |
(q&(l&(((e|q)>q)&e))) | (z>~(((q&l)&((q&l)>e)))) | 0 | 0 | 0 | 0 | not entailment |
~((z&(z>(z>e)))) | (~(z)|l) | 0 | 1 | 0 | 0 | not entailment |
((l|l)&((l|(q>l))>(q>(l|q)))) | ~((~(~(z))&~((l&l)))) | 1 | 1 | 0 | 0 | entailment |
(e&((l>l)>((e>((z|(l|z))|e))&z))) | (z|e) | 1 | 1 | 1 | 1 | entailment |
((l|l)&((l|(q>l))>(q>(l|q)))) | (z|e) | 0 | 1 | 0 | 0 | not entailment |
(e&((l>l)>((e>((z|(l|z))|e))&z))) | ~((~(~(z))&~((l&l)))) | 0 | 1 | 1 | 0 | not entailment |
(u&u) | ((~(u)&((u>u)&~(u)))>(u|((u|u)|(u|u)))) | 1 | 0 | 1 | 0 | entailment |
~(((u|u)|(u|u))) | (~(u)&(~(u)&~((u&(~(u)|u))))) | 1 | 0 | 1 | 0 | entailment |
(u&u) | (~(u)&(~(u)&~((u&(~(u)|u))))) | 0 | 0 | 1 | 0 | not entailment |
~(((u|u)|(u|u))) | ((~(u)&((u>u)&~(u)))>(u|((u|u)|(u|u)))) | 0 | 0 | 1 | 0 | not entailment |
((u|(u|u))&(u&(u|u))) | (u|u) | 1 | 1 | 1 | 1 | entailment |
~((u|(u&(u|u)))) | ((~((u>(u|u)))|u)>~((~(u)>u))) | 1 | 0 | 1 | 0 | entailment |
((u|(u|u))&(u&(u|u))) | ((~((u>(u|u)))|u)>~((~(u)>u))) | 0 | 0 | 1 | 0 | not entailment |
~((u|(u&(u|u)))) | (u|u) | 0 | 1 | 1 | 0 | not entailment |
((u>u)>u) | (u&u) | 1 | 1 | 1 | 1 | entailment |
(((u>u)>(u>u))&~((u&~(~((u>u)))))) | ~((u|u)) | 1 | 1 | 1 | 1 | entailment |
((u>u)>u) | ~((u|u)) | 0 | 1 | 1 | 1 | not entailment |
(((u>u)>(u>u))&~((u&~(~((u>u)))))) | (u&u) | 0 | 1 | 1 | 1 | not entailment |
(u|(u|(u&u))) | ((u|u)&(~(~(u))&u)) | 1 | 0 | 1 | 1 | entailment |
~(u) | ~((u&((u&u)|u))) | 1 | 0 | 1 | 1 | entailment |
(u|(u|(u&u))) | ~((u&((u&u)|u))) | 0 | 0 | 1 | 0 | not entailment |
~(u) | ((u|u)&(~(~(u))&u)) | 0 | 0 | 1 | 0 | not entailment |
((~((o>n))>(o|(t>s)))>~((t>g))) | ((g&(s>g))>(~(n)>(((p|n)>t)>s))) | 1 | 1 | 0 | 0 | entailment |
(~(((o>(t>(o|g)))|g))|(t&g)) | (((s|(s&t))|(~(p)|g))&(t|(n|o))) | 1 | 0 | 0 | 0 | entailment |
((~((o>n))>(o|(t>s)))>~((t>g))) | (((s|(s&t))|(~(p)|g))&(t|(n|o))) | 0 | 1 | 0 | 0 | not entailment |
(~(((o>(t>(o|g)))|g))|(t&g)) | ((g&(s>g))>(~(n)>(((p|n)>t)>s))) | 0 | 0 | 0 | 0 | not entailment |
(((s|~((t>~(n))))&((n>o)|n))&(s&p)) | ((p|n)|t) | 1 | 1 | 1 | 1 | entailment |
~(s) | (((p>p)>s)>~((p|((t&s)|p)))) | 1 | 0 | 0 | 0 | entailment |
(((s|~((t>~(n))))&((n>o)|n))&(s&p)) | (((p>p)>s)>~((p|((t&s)|p)))) | 0 | 1 | 1 | 0 | not entailment |
~(s) | ((p|n)|t) | 0 | 0 | 0 | 0 | not entailment |
(((s&o)&(g&g))&t) | ((p>s)&(~((o|n))>~(~(((~(t)&p)|t))))) | 1 | 0 | 0 | 0 | entailment |
((o&n)&(g>p)) | (n&n) | 1 | 1 | 1 | 1 | entailment |
(((s&o)&(g&g))&t) | (n&n) | 0 | 1 | 0 | 0 | not entailment |
((o&n)&(g>p)) | ((p>s)&(~((o|n))>~(~(((~(t)&p)|t))))) | 0 | 0 | 0 | 0 | not entailment |
(((s>((s|p)&t))&o)&(o&n)) | (((g>(~((o&t))>s))|(n&o))|(n&t)) | 1 | 0 | 0 | 0 | entailment |
((~(~(p))>(s|o))>(g&~(~(o)))) | (g|p) | 1 | 1 | 1 | 1 | entailment |
(((s>((s|p)&t))&o)&(o&n)) | (g|p) | 0 | 1 | 0 | 0 | not entailment |
((~(~(p))>(s|o))>(g&~(~(o)))) | (((g>(~((o&t))>s))|(n&o))|(n&t)) | 0 | 1 | 0 | 0 | not entailment |
(o|o) | ((n&~((n>o)))>(((n&s)>o)&((t|(o>o))|t))) | 1 | 0 | 0 | 0 | entailment |
~(~((g|(t&(n>s))))) | (g|((n|p)>t)) | 1 | 1 | 0 | 0 | entailment |
(o|o) | (g|((n|p)>t)) | 0 | 0 | 0 | 0 | not entailment |
~(~((g|(t&(n>s))))) | ((n&~((n>o)))>(((n&s)>o)&((t|(o>o))|t))) | 0 | 0 | 0 | 0 | not entailment |
((g|s)&o) | (((g&(g|t))&g)|~((o>(g&(p>o))))) | 1 | 0 | 0 | 0 | entailment |
(~(~((t>(n>(n|g)))))&(s&~(~((s>p))))) | ((~(((n|~(p))>(n|(s|o))))|t)|p) | 1 | 1 | 0 | 0 | entailment |
((g|s)&o) | ((~(((n|~(p))>(n|(s|o))))|t)|p) | 0 | 0 | 0 | 0 | not entailment |
(~(~((t>(n>(n|g)))))&(s&~(~((s>p))))) | (((g&(g|t))&g)|~((o>(g&(p>o))))) | 0 | 1 | 0 | 0 | not entailment |
((t&s)&(g>~((p|(o>n))))) | ((o|~(((n>(n&s))>(~(t)|o))))|(s>(t|p))) | 1 | 0 | 1 | 0 | entailment |
~(~(((g|p)&((((n>g)&t)>(g&(o&o)))>n)))) | (((o&~(n))|(g|(o&o)))|(p&(g>s))) | 1 | 1 | 0 | 0 | entailment |
((t&s)&(g>~((p|(o>n))))) | (((o&~(n))|(g|(o&o)))|(p&(g>s))) | 0 | 0 | 1 | 0 | not entailment |
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