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 |
|---|---|---|---|---|---|---|
~((k|(k&(k>k)))) | (~(k)&((k>(k>k))>~((k&~((k|k)))))) | 1 | 0 | 1 | 1 | entailment |
(((k|k)|(k&(k|~(k))))|(k|k)) | (~(k)&((k>(k>k))>~((k&~((k|k)))))) | 0 | 0 | 1 | 1 | not entailment |
~((k|(k&(k>k)))) | (k&(k>k)) | 0 | 1 | 1 | 1 | not entailment |
(k&(((k>k)&(~(~((k|k)))>(k|(k&k))))&k)) | ((k|k)|k) | 1 | 1 | 1 | 1 | entailment |
~((k|k)) | ~(~(~(((k>~((k>k)))>(k|k))))) | 1 | 0 | 1 | 0 | entailment |
(k&(((k>k)&(~(~((k|k)))>(k|(k&k))))&k)) | ~(~(~(((k>~((k>k)))>(k|k))))) | 0 | 1 | 1 | 1 | not entailment |
~((k|k)) | ((k|k)|k) | 0 | 1 | 1 | 0 | not entailment |
((~(~((q>q)))|q)&(q|q)) | (q|(((q|q)&q)&~(~((q&(q>((q>q)&q))))))) | 1 | 0 | 1 | 1 | entailment |
((~((q>q))>q)>~(((q&(q&q))&q))) | ~(~((q>(~(q)&(q|q))))) | 1 | 1 | 1 | 1 | entailment |
((~(~((q>q)))|q)&(q|q)) | ~(~((q>(~(q)&(q|q))))) | 0 | 1 | 1 | 1 | not entailment |
((~((q>q))>q)>~(((q&(q&q))&q))) | (q|(((q|q)&q)&~(~((q&(q>((q>q)&q))))))) | 0 | 0 | 1 | 1 | not entailment |
((q&q)|(q&q)) | ((((q>q)|q)|q)&(q|q)) | 1 | 0 | 1 | 0 | entailment |
~(((q|q)&q)) | ~(q) | 1 | 1 | 1 | 1 | entailment |
((q&q)|(q&q)) | ~(q) | 0 | 1 | 1 | 0 | not entailment |
~(((q|q)&q)) | ((((q>q)|q)|q)&(q|q)) | 0 | 0 | 1 | 0 | not entailment |
(t&(t|t)) | ((~(~(q))>t)&t) | 1 | 0 | 0 | 0 | entailment |
~((l>((r&l)|y))) | ((((y&q)|x)&y)>(x>~(x))) | 1 | 0 | 0 | 0 | entailment |
(t&(t|t)) | ((((y&q)|x)&y)>(x>~(x))) | 0 | 0 | 0 | 0 | not entailment |
~((l>((r&l)|y))) | ((~(~(q))>t)&t) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(q))) | (((y>y)|t)>~((~(((q&t)>q))|q))) | 1 | 0 | 0 | 0 | entailment |
(r&x) | (((~(l)&r)|r)>(x|(l|l))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(q))) | (((~(l)&r)|r)>(x|(l|l))) | 0 | 0 | 0 | 0 | not entailment |
(r&x) | (((y>y)|t)>~((~(((q&t)>q))|q))) | 0 | 0 | 0 | 0 | not entailment |
(((r|r)|r)&(~(~((t>~(y))))|r)) | (r|l) | 1 | 1 | 0 | 0 | entailment |
~(~(((t&y)&(x>l)))) | (((q&x)&(q|l))>t) | 1 | 1 | 0 | 0 | entailment |
(((r|r)|r)&(~(~((t>~(y))))|r)) | (((q&x)&(q|l))>t) | 0 | 1 | 0 | 0 | not entailment |
~(~(((t&y)&(x>l)))) | (r|l) | 0 | 1 | 0 | 0 | not entailment |
(r&(y|q)) | (((l&y)>r)|(t&t)) | 1 | 0 | 0 | 0 | entailment |
((r>(t>x))&~(x)) | ((y|(l|t))|(x>(r&y))) | 1 | 0 | 0 | 0 | entailment |
(r&(y|q)) | ((y|(l|t))|(x>(r&y))) | 0 | 0 | 0 | 0 | not entailment |
((r>(t>x))&~(x)) | (((l&y)>r)|(t&t)) | 0 | 1 | 0 | 0 | not entailment |
~((((r>y)>((y>y)&q))|(r>t))) | ((l|y)|(l|t)) | 1 | 1 | 0 | 0 | entailment |
~(~(q)) | (((q|r)>x)|(~((~(y)|t))>q)) | 1 | 0 | 0 | 0 | entailment |
~((((r>y)>((y>y)&q))|(r>t))) | (((q|r)>x)|(~((~(y)|t))>q)) | 0 | 1 | 0 | 0 | not entailment |
~(~(q)) | ((l|y)|(l|t)) | 0 | 0 | 0 | 0 | not entailment |
(x&((l>q)>y)) | ((t|y)>(y|l)) | 1 | 1 | 0 | 0 | entailment |
(~((x|~((t>(l>~((y|y)))))))|~((x|t))) | (~((x&l))|~((((l>l)|r)>~(((q&x)>r))))) | 1 | 1 | 0 | 0 | entailment |
(x&((l>q)>y)) | (~((x&l))|~((((l>l)|r)>~(((q&x)>r))))) | 0 | 0 | 0 | 0 | not entailment |
(~((x|~((t>(l>~((y|y)))))))|~((x|t))) | ((t|y)>(y|l)) | 0 | 1 | 1 | 0 | not entailment |
((~(((y|~(t))|y))>~((t&~(l))))&r) | ((t>(x>y))|r) | 1 | 1 | 0 | 0 | entailment |
~(((x|x)>y)) | (q>x) | 1 | 1 | 0 | 0 | entailment |
((~(((y|~(t))|y))>~((t&~(l))))&r) | (q>x) | 0 | 1 | 0 | 0 | not entailment |
~(((x|x)>y)) | ((t>(x>y))|r) | 0 | 1 | 0 | 0 | not entailment |
~(((l&y)>q)) | ~(((~((x|r))>~(r))>(q&(r|(l&q))))) | 1 | 0 | 0 | 0 | entailment |
((~((r|y))>r)&q) | (((y&(~(q)&t))>(x|(r&q)))|~((l|t))) | 1 | 0 | 0 | 0 | entailment |
~(((l&y)>q)) | (((y&(~(q)&t))>(x|(r&q)))|~((l|t))) | 0 | 0 | 0 | 0 | not entailment |
((~((r|y))>r)&q) | ~(((~((x|r))>~(r))>(q&(r|(l&q))))) | 0 | 0 | 0 | 0 | not entailment |
~(x) | (((x&l)>r)|((y&x)|y)) | 1 | 0 | 0 | 0 | entailment |
(t&x) | (x|(~(q)>l)) | 1 | 0 | 0 | 0 | entailment |
~(x) | (x|(~(q)>l)) | 0 | 0 | 0 | 0 | not entailment |
(t&x) | (((x&l)>r)|((y&x)|y)) | 0 | 0 | 0 | 0 | not entailment |
~((~((((q>((x|y)|r))&(t&x))&y))|(y>q))) | ((t|(t&((r|~(y))>r)))&(l>(y&~(q)))) | 1 | 1 | 0 | 0 | entailment |
(((l>y)|(l|l))&l) | (t>l) | 1 | 1 | 0 | 0 | entailment |
~((~((((q>((x|y)|r))&(t&x))&y))|(y>q))) | (t>l) | 0 | 1 | 0 | 0 | not entailment |
(((l>y)|(l|l))&l) | ((t|(t&((r|~(y))>r)))&(l>(y&~(q)))) | 0 | 0 | 0 | 0 | not entailment |
((y>~(((l>l)|(t&t))))&(((t>t)>x)&x)) | (x|(t>y)) | 1 | 1 | 1 | 0 | entailment |
(q&q) | (y|q) | 1 | 1 | 0 | 0 | entailment |
((y>~(((l>l)|(t&t))))&(((t>t)>x)&x)) | (y|q) | 0 | 1 | 0 | 0 | not entailment |
(q&q) | (x|(t>y)) | 0 | 0 | 0 | 0 | not entailment |
(((~(((x&x)>q))&(r>y))&((x>l)|x))&(y&t)) | (((r|(l>y))>~(y))|t) | 1 | 1 | 1 | 0 | entailment |
((q&x)|(q&(l>(t|x)))) | ((~(~(t))|q)>(((~(r)|~((q|t)))&l)|q)) | 1 | 0 | 0 | 0 | entailment |
(((~(((x&x)>q))&(r>y))&((x>l)|x))&(y&t)) | ((~(~(t))|q)>(((~(r)|~((q|t)))&l)|q)) | 0 | 1 | 1 | 0 | not entailment |
((q&x)|(q&(l>(t|x)))) | (((r|(l>y))>~(y))|t) | 0 | 1 | 0 | 0 | not entailment |
((r&q)&(r&((((x|q)|t)|t)|(q>(y&l))))) | ((q>r)|((q>(l|r))&~((q&t)))) | 1 | 1 | 1 | 0 | entailment |
~((y>((l>(x&y))|((y|x)&~((t>l)))))) | ((~(l)>(r>(l>q)))&((~((l|l))>(y&y))&l)) | 1 | 0 | 0 | 0 | entailment |
((r&q)&(r&((((x|q)|t)|t)|(q>(y&l))))) | ((~(l)>(r>(l>q)))&((~((l|l))>(y&y))&l)) | 0 | 0 | 1 | 0 | not entailment |
~((y>((l>(x&y))|((y|x)&~((t>l)))))) | ((q>r)|((q>(l|r))&~((q&t)))) | 0 | 1 | 0 | 0 | not entailment |
~((x>((t&q)|q))) | ((r|r)|((~(l)>q)>((y&(q&(~(r)&t)))>l))) | 1 | 0 | 0 | 0 | entailment |
(((((q|q)>x)|t)&y)&(q|~(((q|~(r))&l)))) | ((((q>x)>((~(t)>t)&~((x|y))))|l)|(t|y)) | 1 | 1 | 1 | 0 | entailment |
~((x>((t&q)|q))) | ((((q>x)>((~(t)>t)&~((x|y))))|l)|(t|y)) | 0 | 0 | 0 | 0 | not entailment |
(((((q|q)>x)|t)&y)&(q|~(((q|~(r))&l)))) | ((r|r)|((~(l)>q)>((y&(q&(~(r)&t)))>l))) | 0 | 1 | 1 | 0 | not entailment |
(l&x) | ((((x&~((r>x)))&(l|x))&(x&l))|l) | 1 | 0 | 0 | 0 | entailment |
(y&((q|(r>x))>q)) | (((y&y)>(r|y))&(~(x)|y)) | 1 | 0 | 1 | 0 | entailment |
(l&x) | (((y&y)>(r|y))&(~(x)|y)) | 0 | 0 | 0 | 0 | not entailment |
(y&((q|(r>x))>q)) | ((((x&~((r>x)))&(l|x))&(x&l))|l) | 0 | 0 | 0 | 0 | not entailment |
(y&(~((r>y))|((q>q)&l))) | ((l>l)&l) | 1 | 1 | 1 | 0 | entailment |
((x|l)>~((q>q))) | ~(~((~(x)&~(l)))) | 1 | 0 | 1 | 1 | entailment |
(y&(~((r>y))|((q>q)&l))) | ~(~((~(x)&~(l)))) | 0 | 1 | 0 | 0 | not entailment |
((x|l)>~((q>q))) | ((l>l)&l) | 0 | 1 | 1 | 0 | not entailment |
((y&(y|y))&((q|x)&y)) | ((~(~(l))|y)|~((~(~(x))>q))) | 1 | 0 | 0 | 0 | entailment |
~(~(r)) | ((((((q>x)&(l&r))>(r>r))&(t|q))&~(r))>t) | 1 | 0 | 0 | 0 | entailment |
((y&(y|y))&((q|x)&y)) | ((((((q>x)&(l&r))>(r>r))&(t|q))&~(r))>t) | 0 | 0 | 0 | 0 | not entailment |
~(~(r)) | ((~(~(l))|y)|~((~(~(x))>q))) | 0 | 0 | 0 | 0 | not entailment |
~((((r&l)&(t>l))|(~(y)>(x>(q&x))))) | ~(q) | 1 | 1 | 1 | 1 | entailment |
~((((r>t)>t)>(x|~(r)))) | ~(~(((x>l)>r))) | 1 | 1 | 0 | 0 | entailment |
~((((r&l)&(t>l))|(~(y)>(x>(q&x))))) | ~(~(((x>l)>r))) | 0 | 1 | 1 | 0 | not entailment |
~((((r>t)>t)>(x|~(r)))) | ~(q) | 0 | 1 | 0 | 0 | not entailment |
(t&~((~(((t|((r>q)&~(x)))&q))>(x|y)))) | (t|t) | 1 | 1 | 1 | 1 | entailment |
~((q>((((x|q)&~(t))>y)&~(((y>t)|x))))) | (((l|l)>q)&((t&(y>(r>y)))>(r>t))) | 1 | 1 | 0 | 0 | entailment |
(t&~((~(((t|((r>q)&~(x)))&q))>(x|y)))) | (((l|l)>q)&((t&(y>(r>y)))>(r>t))) | 0 | 1 | 0 | 0 | not entailment |
~((q>((((x|q)&~(t))>y)&~(((y>t)|x))))) | (t|t) | 0 | 1 | 1 | 1 | not entailment |
(((~(k)|~(e))&(k>(~(v)|~((t>b)))))&e) | (~((((~(v)&u)&e)&~((p|t))))|~(k)) | 1 | 1 | 0 | 0 | entailment |
~((k>i)) | ~(~(~((~(((u|o)&g))&i)))) | 1 | 0 | 0 | 0 | entailment |
(((~(k)|~(e))&(k>(~(v)|~((t>b)))))&e) | ~(~(~((~(((u|o)&g))&i)))) | 0 | 1 | 0 | 0 | not entailment |
~((k>i)) | (~((((~(v)&u)&e)&~((p|t))))|~(k)) | 0 | 0 | 0 | 0 | not entailment |
((k&p)&p) | ((~((b&i))>~((u&(b>o))))>(g>(t|k))) | 1 | 0 | 0 | 0 | entailment |
(u&((v|k)&p)) | ((u|~(~(((t>o)>g))))|((((t>u)&t)&e)|e)) | 1 | 0 | 0 | 0 | entailment |
((k&p)&p) | ((u|~(~(((t>o)>g))))|((((t>u)&t)&e)|e)) | 0 | 0 | 0 | 0 | not entailment |
(u&((v|k)&p)) | ((~((b&i))>~((u&(b>o))))>(g>(t|k))) | 0 | 0 | 0 | 0 | not entailment |
(((e|o)&v)&((~((k>v))>o)>k)) | (e>v) | 1 | 1 | 1 | 0 | entailment |
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