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 |
|---|---|---|---|---|---|---|
(v&u) | (x|c) | 0 | 1 | 0 | 0 | not entailment |
(~(x)&l) | ((~(l)&~((q&e)))>(k&(v|(y&((k>y)&x))))) | 1 | 0 | 0 | 0 | entailment |
(((e&k)&~(e))|q) | ((~(q)&~(((q&l)&(q&x))))>(e&e)) | 1 | 0 | 0 | 0 | entailment |
(~(x)&l) | ((~(q)&~(((q&l)&(q&x))))>(e&e)) | 0 | 0 | 0 | 0 | not entailment |
(((e&k)&~(e))|q) | ((~(l)&~((q&e)))>(k&(v|(y&((k>y)&x))))) | 0 | 0 | 0 | 0 | not entailment |
((y|y)&((l&x)>(v>((e>(q&v))>~((q&y)))))) | (y|~((e>k))) | 1 | 1 | 0 | 0 | entailment |
~(((((v|v)>v)>(e&v))|(x|(x|v)))) | (((v&y)&(y&y))>x) | 1 | 1 | 0 | 0 | entailment |
((y|y)&((l&x)>(v>((e>(q&v))>~((q&y)))))) | (((v&y)&(y&y))>x) | 0 | 1 | 1 | 0 | not entailment |
~(((((v|v)>v)>(e&v))|(x|(x|v)))) | (y|~((e>k))) | 0 | 1 | 0 | 0 | not entailment |
~((((q>q)&(y>k))|~(((e>v)|y)))) | ((y&v)|~(~(~((x&v))))) | 1 | 1 | 0 | 0 | entailment |
((~(((q>k)|l))&((v&e)&~(y)))&(y>k)) | (e&~((q>~(q)))) | 1 | 1 | 1 | 1 | entailment |
~((((q>q)&(y>k))|~(((e>v)|y)))) | (e&~((q>~(q)))) | 0 | 1 | 1 | 0 | not entailment |
((~(((q>k)|l))&((v&e)&~(y)))&(y>k)) | ((y&v)|~(~(~((x&v))))) | 0 | 1 | 0 | 0 | not entailment |
(y&k) | ~((~(((~(q)|(v&l))>((l|l)|(q|y))))&v)) | 1 | 0 | 0 | 0 | entailment |
(((e|y)>(l>((x>e)>k)))>(v&(k>~(k)))) | ~((~(~(q))&((k&~((e&~(k))))&x))) | 1 | 1 | 0 | 0 | entailment |
(y&k) | ~((~(~(q))&((k&~((e&~(k))))&x))) | 0 | 0 | 0 | 0 | not entailment |
(((e|y)>(l>((x>e)>k)))>(v&(k>~(k)))) | ~((~(((~(q)|(v&l))>((l|l)|(q|y))))&v)) | 0 | 0 | 0 | 0 | not entailment |
((l&v)|(~(k)&x)) | ((y>l)>(~(k)>(l|x))) | 1 | 0 | 0 | 0 | entailment |
((q|v)&~(k)) | (x>~(k)) | 1 | 1 | 0 | 0 | entailment |
((l&v)|(~(k)&x)) | (x>~(k)) | 0 | 1 | 1 | 0 | not entailment |
((q|v)&~(k)) | ((y>l)>(~(k)>(l|x))) | 0 | 0 | 0 | 0 | not entailment |
((((l>v)>y)>(q|~(v)))&y) | (((l&~(y))|l)>((k|y)>y)) | 1 | 1 | 0 | 0 | entailment |
~((x>(((v>v)>(e|(x|y)))&((v&q)>e)))) | ((v|k)>((l>v)|(~(e)>x))) | 1 | 1 | 0 | 0 | entailment |
((((l>v)>y)>(q|~(v)))&y) | ((v|k)>((l>v)|(~(e)>x))) | 0 | 1 | 0 | 0 | not entailment |
~((x>(((v>v)>(e|(x|y)))&((v&q)>e)))) | (((l&~(y))|l)>((k|y)>y)) | 0 | 1 | 0 | 0 | not entailment |
((q>k)&((q&v)&~((~(x)&x)))) | (e>q) | 1 | 1 | 0 | 0 | entailment |
~(v) | (~(v)|e) | 1 | 0 | 0 | 0 | entailment |
((q>k)&((q&v)&~((~(x)&x)))) | (~(v)|e) | 0 | 1 | 0 | 0 | not entailment |
~(v) | (e>q) | 0 | 1 | 0 | 0 | not entailment |
((q&y)&((x&((l>x)|~((x>q))))|k)) | (q|k) | 1 | 1 | 1 | 1 | entailment |
~((x>q)) | ((l&~(~(~(v))))>((e|x)&(l|~(~(k))))) | 1 | 0 | 0 | 0 | entailment |
((q&y)&((x&((l>x)|~((x>q))))|k)) | ((l&~(~(~(v))))>((e|x)&(l|~(~(k))))) | 0 | 0 | 0 | 0 | not entailment |
~((x>q)) | (q|k) | 0 | 1 | 0 | 0 | not entailment |
((q&q)&~(((q|e)&(e>(k&x))))) | ((e>e)>q) | 1 | 1 | 1 | 1 | entailment |
~((e&k)) | (~((~(x)|v))|(e>((k&(y&v))>((y>x)|x)))) | 1 | 0 | 0 | 0 | entailment |
((q&q)&~(((q|e)&(e>(k&x))))) | (~((~(x)|v))|(e>((k&(y&v))>((y>x)|x)))) | 0 | 0 | 0 | 0 | not entailment |
~((e&k)) | ((e>e)>q) | 0 | 1 | 0 | 0 | not entailment |
~(~((q&~(v)))) | (v>((k>k)>(x&(~(v)&y)))) | 1 | 0 | 0 | 0 | entailment |
((((k&l)&~(~(y)))&(k>(k|k)))&v) | ((l|y)>(((x|x)&~((x>((x|k)>k))))>l)) | 1 | 0 | 0 | 0 | entailment |
~(~((q&~(v)))) | ((l|y)>(((x|x)&~((x>((x|k)>k))))>l)) | 0 | 0 | 0 | 0 | not entailment |
((((k&l)&~(~(y)))&(k>(k|k)))&v) | (v>((k>k)>(x&(~(v)&y)))) | 0 | 1 | 0 | 0 | not entailment |
(e|(e&(k>x))) | ((l>x)|(q|e)) | 1 | 1 | 0 | 0 | entailment |
~(~(v)) | (~(y)|((x|x)>v)) | 1 | 0 | 0 | 0 | entailment |
(e|(e&(k>x))) | (~(y)|((x|x)>v)) | 0 | 0 | 0 | 0 | not entailment |
~(~(v)) | ((l>x)|(q|e)) | 0 | 0 | 0 | 0 | not entailment |
((q&(q|v))&(y>~(q))) | ~((~((k|v))&~((q|l)))) | 1 | 0 | 0 | 0 | entailment |
~((l|((e|e)>~(~(~(x)))))) | ((~(e)&e)|(q>e)) | 1 | 1 | 0 | 0 | entailment |
((q&(q|v))&(y>~(q))) | ((~(e)&e)|(q>e)) | 0 | 1 | 0 | 0 | not entailment |
~((l|((e|e)>~(~(~(x)))))) | ~((~((k|v))&~((q|l)))) | 0 | 1 | 0 | 0 | not entailment |
(((k>~(v))&((y&k)|l))&~(l)) | (((~((e|(~(k)|x)))>~(k))>~((v&v)))>k) | 1 | 0 | 0 | 0 | entailment |
((~((l|k))&l)|(q&y)) | (k>q) | 1 | 1 | 1 | 1 | entailment |
(((k>~(v))&((y&k)|l))&~(l)) | (k>q) | 0 | 1 | 0 | 0 | not entailment |
((~((l|k))&l)|(q&y)) | (((~((e|(~(k)|x)))>~(k))>~((v&v)))>k) | 0 | 0 | 0 | 0 | not entailment |
(x>(v&v)) | ((~(q)&e)>(~((v&~(e)))&((x>k)|v))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((~(y)&l)>(x&q))))) | (~(~(((v>l)|(x>e))))&(k>k)) | 1 | 1 | 0 | 0 | entailment |
(x>(v&v)) | (~(~(((v>l)|(x>e))))&(k>k)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((~(y)&l)>(x&q))))) | ((~(q)&e)>(~((v&~(e)))&((x>k)|v))) | 0 | 0 | 0 | 0 | not entailment |
(y&y) | (e>y) | 1 | 1 | 0 | 0 | entailment |
((e&k)&((k&v)>k)) | ((l>~(v))>((((x|x)&v)&y)|(q|(e|q)))) | 1 | 0 | 0 | 0 | entailment |
(y&y) | ((l>~(v))>((((x|x)&v)&y)|(q|(e|q)))) | 0 | 0 | 0 | 0 | not entailment |
((e&k)&((k&v)>k)) | (e>y) | 0 | 1 | 0 | 0 | not entailment |
(((y|v)|k)&(y&(v&v))) | ((((k&e)&((l>(k|y))>l))|e)|y) | 1 | 0 | 0 | 0 | entailment |
~((~((x>e))>(q>~(((q&y)>(v|y)))))) | (q&x) | 1 | 1 | 1 | 1 | entailment |
(((y|v)|k)&(y&(v&v))) | (q&x) | 0 | 1 | 0 | 0 | not entailment |
~((~((x>e))>(q>~(((q&y)>(v|y)))))) | ((((k&e)&((l>(k|y))>l))|e)|y) | 0 | 1 | 0 | 0 | not entailment |
(v&~((((y>y)|((x&l)&(v|q)))>(k|y)))) | (((v&q)>(y>x))|(l|(~(k)|x))) | 1 | 1 | 1 | 0 | entailment |
(~(~(v))&(q&e)) | ((q|(e|((l>e)&l)))|~((l>e))) | 1 | 0 | 0 | 0 | entailment |
(v&~((((y>y)|((x&l)&(v|q)))>(k|y)))) | ((q|(e|((l>e)&l)))|~((l>e))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(v))&(q&e)) | (((v&q)>(y>x))|(l|(~(k)|x))) | 0 | 0 | 0 | 0 | not entailment |
(x&l) | (l|(v|(y&(((v>y)&e)|v)))) | 1 | 0 | 0 | 0 | entailment |
~(((e&(q|x))|l)) | (((q|y)>l)>~(((x|((q&~(y))&v))&y))) | 1 | 0 | 0 | 0 | entailment |
(x&l) | (((q|y)>l)>~(((x|((q&~(y))&v))&y))) | 0 | 0 | 0 | 0 | not entailment |
~(((e&(q|x))|l)) | (l|(v|(y&(((v>y)&e)|v)))) | 0 | 0 | 0 | 0 | not entailment |
((u>(u|(u>(u&u))))&((~(u)&u)|u)) | (((u&u)|~((u>(u|(u&u)))))|u) | 1 | 1 | 1 | 1 | entailment |
(~(((u&u)&(u|u)))&(u>(u|u))) | ((u&u)>~((u&u))) | 1 | 1 | 1 | 1 | entailment |
((u>(u|(u>(u&u))))&((~(u)&u)|u)) | ((u&u)>~((u&u))) | 0 | 1 | 1 | 1 | not entailment |
(~(((u&u)&(u|u)))&(u>(u|u))) | (((u&u)|~((u>(u|(u&u)))))|u) | 0 | 1 | 1 | 1 | not entailment |
((~(~(u))>u)&((~(u)|u)>u)) | (u&((u>u)>u)) | 1 | 1 | 1 | 1 | entailment |
~(u) | (u>(~(u)&(((u|u)|u)|u))) | 1 | 0 | 1 | 0 | entailment |
((~(~(u))>u)&((~(u)|u)>u)) | (u>(~(u)&(((u|u)|u)|u))) | 0 | 1 | 1 | 1 | not entailment |
~(u) | (u&((u>u)>u)) | 0 | 0 | 1 | 0 | not entailment |
(~(~((~(~(u))>u)))>u) | (~(u)>~(~(u))) | 1 | 1 | 1 | 1 | entailment |
~((u|u)) | ~((u|(u&u))) | 1 | 0 | 1 | 1 | entailment |
(~(~((~(~(u))>u)))>u) | ~((u|(u&u))) | 0 | 1 | 1 | 1 | not entailment |
~((u|u)) | (~(u)>~(~(u))) | 0 | 0 | 1 | 0 | not entailment |
(u&u) | (u&u) | 1 | 1 | 1 | 1 | entailment |
~((~(u)>u)) | ~(~(~(u))) | 1 | 1 | 1 | 1 | entailment |
(u&u) | ~(~(~(u))) | 0 | 0 | 1 | 0 | not entailment |
~((~(u)>u)) | (u&u) | 0 | 1 | 1 | 0 | not entailment |
((u&u)&(u>u)) | ((u|~(~(((((u&u)|u)|(u>u))>u))))&(u|u)) | 1 | 0 | 1 | 1 | entailment |
(~(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)))))) | 0 | 0 | 1 | 1 | not entailment |
(~(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&((u>(u>(u|u)))&u))) | 1 | 0 | 1 | 1 | entailment |
~((u|u)) | (u>~((u>(u>u)))) | 1 | 0 | 1 | 0 | entailment |
((u|(~(u)&u))|u) | (u>~((u>(u>u)))) | 0 | 1 | 1 | 1 | not entailment |
~((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>u))|(u|u))) | 1 | 0 | 1 | 1 | entailment |
~((u&u)) | ~(u) | 1 | 1 | 1 | 1 | entailment |
(u&(u>u)) | ~(u) | 0 | 1 | 1 | 1 | not entailment |
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