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 |
---|---|---|---|---|---|---|
((t&g)|~(((l|(l>c))>(((t|c)>t)>~(c))))) | (~(((~((g&(t>g)))>c)&(~(t)&l)))>t) | 1 | 1 | 1 | 1 | entailment |
(((((t&(t>g))|g)&g)&g)&~(l)) | (g&(g>g)) | 1 | 1 | 1 | 0 | entailment |
((t&g)|~(((l|(l>c))>(((t|c)>t)>~(c))))) | (g&(g>g)) | 0 | 1 | 1 | 0 | not entailment |
(((((t&(t>g))|g)&g)&g)&~(l)) | (~(((~((g&(t>g)))>c)&(~(t)&l)))>t) | 0 | 0 | 0 | 0 | not entailment |
((c&l)&(c|l)) | ~(~(((((g&~(l))>g)|c)&(g|l)))) | 1 | 0 | 0 | 0 | entailment |
~(((t>g)&~(~(g)))) | ~(((g>c)&(l&(c&g)))) | 1 | 1 | 0 | 0 | entailment |
((c&l)&(c|l)) | ~(((g>c)&(l&(c&g)))) | 0 | 0 | 0 | 0 | not entailment |
~(((t>g)&~(~(g)))) | ~(~(((((g&~(l))>g)|c)&(g|l)))) | 0 | 0 | 0 | 0 | not entailment |
((t>t)>l) | ((l>t)>(l|(~(l)>g))) | 1 | 0 | 0 | 0 | entailment |
(c&t) | ((g>(t>g))>(t>((g|(t>c))|g))) | 1 | 0 | 0 | 0 | entailment |
((t>t)>l) | ((g>(t>g))>(t>((g|(t>c))|g))) | 0 | 0 | 0 | 0 | not entailment |
(c&t) | ((l>t)>(l|(~(l)>g))) | 0 | 0 | 0 | 0 | not entailment |
((((t|l)&c)|(((g|c)|~(t))|g))>t) | (l|((g|l)|t)) | 1 | 1 | 1 | 0 | entailment |
(~((t&(t>t)))&~(((t|c)&(c|~((t|t)))))) | ((t&t)>~(c)) | 1 | 1 | 1 | 1 | entailment |
((((t|l)&c)|(((g|c)|~(t))|g))>t) | ((t&t)>~(c)) | 0 | 1 | 1 | 1 | not entailment |
(~((t&(t>t)))&~(((t|c)&(c|~((t|t)))))) | (l|((g|l)|t)) | 0 | 1 | 0 | 0 | not entailment |
(~(g)&((~((c&(t|g)))&(t|t))&(~(c)|l))) | ((c&~(~(l)))>(g&(~(c)&c))) | 1 | 1 | 1 | 0 | entailment |
(c&((((g|l)|c)&(c|c))&g)) | (((t&g)>t)&(c|(((t&t)&g)&l))) | 1 | 0 | 0 | 0 | entailment |
(~(g)&((~((c&(t|g)))&(t|t))&(~(c)|l))) | (((t&g)>t)&(c|(((t&t)&g)&l))) | 0 | 1 | 1 | 0 | not entailment |
(c&((((g|l)|c)&(c|c))&g)) | ((c&~(~(l)))>(g&(~(c)&c))) | 0 | 0 | 1 | 0 | not entailment |
(((q|d)&(d>d))>(~(q)&((v|v)>~(m)))) | (~(d)>(m|~(q))) | 1 | 1 | 1 | 0 | entailment |
~(~(~((~((q&q))|d)))) | ~((((q|d)&(d|q))&(((d>m)|~(v))>d))) | 1 | 0 | 0 | 0 | entailment |
(((q|d)&(d>d))>(~(q)&((v|v)>~(m)))) | ~((((q|d)&(d|q))&(((d>m)|~(v))>d))) | 0 | 1 | 1 | 0 | not entailment |
~(~(~((~((q&q))|d)))) | (~(d)>(m|~(q))) | 0 | 1 | 0 | 0 | not entailment |
(((v|(m&q))&~(v))&((d>~(d))>q)) | ~(((((m&d)>v)&(d>(v&(q>q))))&d)) | 1 | 1 | 1 | 0 | entailment |
(m&v) | (~(v)>(m>d)) | 1 | 0 | 0 | 0 | entailment |
(((v|(m&q))&~(v))&((d>~(d))>q)) | (~(v)>(m>d)) | 0 | 1 | 1 | 0 | not entailment |
(m&v) | ~(((((m&d)>v)&(d>(v&(q>q))))&d)) | 0 | 0 | 0 | 0 | not entailment |
~(((d|q)|(v&(m>d)))) | ~(d) | 1 | 1 | 1 | 1 | entailment |
((q&q)&v) | (~(q)>v) | 1 | 1 | 1 | 1 | entailment |
~(((d|q)|(v&(m>d)))) | (~(q)>v) | 0 | 1 | 1 | 0 | not entailment |
((q&q)&v) | ~(d) | 0 | 1 | 0 | 0 | not entailment |
~((d|v)) | ((((q>m)|(~((d&q))|((q|v)&m)))&q)>(d>v)) | 1 | 0 | 0 | 0 | entailment |
(((m&(v&q))>(m|v))>q) | (q|v) | 1 | 1 | 1 | 1 | entailment |
~((d|v)) | (q|v) | 0 | 1 | 0 | 0 | not entailment |
(((m&(v&q))>(m|v))>q) | ((((q>m)|(~((d&q))|((q|v)&m)))&q)>(d>v)) | 0 | 0 | 0 | 0 | not entailment |
~((d|(q>d))) | ~((d&d)) | 1 | 1 | 1 | 1 | entailment |
(~(((~(q)|~((v|m)))|(v&d)))|(q&m)) | (~(((q|(d>d))>m))>(v|(v&m))) | 1 | 1 | 1 | 0 | entailment |
~((d|(q>d))) | (~(((q|(d>d))>m))>(v|(v&m))) | 0 | 0 | 0 | 0 | not entailment |
(~(((~(q)|~((v|m)))|(v&d)))|(q&m)) | ~((d&d)) | 0 | 1 | 1 | 1 | not entailment |
(q&(~(v)>(d&v))) | (q|((m>(q|v))|(q&((d|v)|m)))) | 1 | 0 | 0 | 0 | entailment |
(m&d) | ((((m|q)&(v&q))|m)&d) | 1 | 0 | 0 | 0 | entailment |
(q&(~(v)>(d&v))) | ((((m|q)&(v&q))|m)&d) | 0 | 0 | 0 | 0 | not entailment |
(m&d) | (q|((m>(q|v))|(q&((d|v)|m)))) | 0 | 0 | 0 | 0 | not entailment |
((q|(q|q))&(((d|v)>q)>d)) | (~(~((~(m)>d)))|~(((d>q)&(v>m)))) | 1 | 0 | 0 | 0 | entailment |
(v|(d>~((~((d>~(d)))|(v>v))))) | (v|~(~((d>~((((v>m)>q)>(m&d))))))) | 1 | 0 | 0 | 0 | entailment |
((q|(q|q))&(((d|v)>q)>d)) | (v|~(~((d>~((((v>m)>q)>(m&d))))))) | 0 | 0 | 0 | 0 | not entailment |
(v|(d>~((~((d>~(d)))|(v>v))))) | (~(~((~(m)>d)))|~(((d>q)&(v>m)))) | 0 | 0 | 0 | 0 | not entailment |
(q&v) | (q|~((((q|d)>(d>d))>(~(v)|d)))) | 1 | 0 | 0 | 0 | entailment |
~(((d>v)|(((m>v)&v)&~(m)))) | ((d|~(m))&(~(m)|m)) | 1 | 1 | 1 | 0 | entailment |
(q&v) | ((d|~(m))&(~(m)|m)) | 0 | 0 | 0 | 0 | not entailment |
~(((d>v)|(((m>v)&v)&~(m)))) | (q|~((((q|d)>(d>d))>(~(v)|d)))) | 0 | 0 | 0 | 0 | not entailment |
~(((v|(q>((d&q)&m)))>(v>(v>d)))) | (((v|d)&(m|m))>(~((~(m)&~(d)))&~(d))) | 1 | 0 | 1 | 0 | entailment |
~(((d&m)>v)) | ((d|m)&((d>(v>m))>((~(m)>(v|d))>(q|m)))) | 1 | 0 | 0 | 0 | entailment |
~(((v|(q>((d&q)&m)))>(v>(v>d)))) | ((d|m)&((d>(v>m))>((~(m)>(v|d))>(q|m)))) | 0 | 0 | 1 | 0 | not entailment |
~(((d&m)>v)) | (((v|d)&(m|m))>(~((~(m)&~(d)))&~(d))) | 0 | 0 | 1 | 0 | not entailment |
(m&(q|(d&v))) | ((d>v)|m) | 1 | 1 | 1 | 0 | entailment |
~((~(~(q))>(~(q)|v))) | (q&~(v)) | 1 | 1 | 1 | 1 | entailment |
(m&(q|(d&v))) | (q&~(v)) | 0 | 1 | 1 | 0 | not entailment |
~((~(~(q))>(~(q)|v))) | ((d>v)|m) | 0 | 1 | 0 | 0 | not entailment |
((v&~((v>m)))&d) | (d|m) | 1 | 1 | 1 | 0 | entailment |
(~((v>d))&~((d|q))) | (d>((m>v)>q)) | 1 | 1 | 0 | 0 | entailment |
((v&~((v>m)))&d) | (d>((m>v)>q)) | 0 | 1 | 0 | 0 | not entailment |
(~((v>d))&~((d|q))) | (d|m) | 0 | 1 | 0 | 0 | not entailment |
~(d) | (~(~((~(v)&(d|q))))>q) | 1 | 0 | 0 | 0 | entailment |
(((d|q)|m)&~(q)) | ~((q|(~(~(((m|m)&(d|d))))&~(m)))) | 1 | 0 | 1 | 0 | entailment |
~(d) | ~((q|(~(~(((m|m)&(d|d))))&~(m)))) | 0 | 0 | 0 | 0 | not entailment |
(((d|q)|m)&~(q)) | (~(~((~(v)&(d|q))))>q) | 0 | 0 | 0 | 0 | not entailment |
(((m|~((d&d)))>v)&(v|(v&m))) | ((d&q)>(((~(v)>m)|((d|v)>v))|~(q))) | 1 | 0 | 0 | 0 | entailment |
(d&((v&(m>d))>v)) | (~(v)|(((q>(m>m))|d)>(d|((d>m)&(m&m))))) | 1 | 0 | 0 | 0 | entailment |
(((m|~((d&d)))>v)&(v|(v&m))) | (~(v)|(((q>(m>m))|d)>(d|((d>m)&(m&m))))) | 0 | 0 | 0 | 0 | not entailment |
(d&((v&(m>d))>v)) | ((d&q)>(((~(v)>m)|((d|v)>v))|~(q))) | 0 | 0 | 0 | 0 | not entailment |
((((~(d)&m)|~((q|(q>(q|q)))))&~(v))&q) | ~(((d>(d|d))&~(~(v)))) | 1 | 1 | 1 | 0 | entailment |
((d&(m>(v>v)))|~(~((m&d)))) | (d|d) | 1 | 1 | 1 | 1 | entailment |
((((~(d)&m)|~((q|(q>(q|q)))))&~(v))&q) | (d|d) | 0 | 1 | 1 | 0 | not entailment |
((d&(m>(v>v)))|~(~((m&d)))) | ~(((d>(d|d))&~(~(v)))) | 0 | 1 | 1 | 0 | not entailment |
~((~((v|q))>(d&d))) | ~((~(((v&q)&(~((v|m))&q)))>v)) | 1 | 0 | 0 | 0 | entailment |
~(~(d)) | (~((v>d))|(~(d)>(d|(q|q)))) | 1 | 0 | 0 | 0 | entailment |
~((~((v|q))>(d&d))) | (~((v>d))|(~(d)>(d|(q|q)))) | 0 | 0 | 1 | 0 | not entailment |
~(~(d)) | ~((~(((v&q)&(~((v|m))&q)))>v)) | 0 | 0 | 0 | 0 | not entailment |
~(((~(q)>~(~((((v|d)&m)>(v|v)))))|v)) | ~(((~(d)|m)&q)) | 1 | 1 | 1 | 0 | entailment |
(m&((v|m)>(q&(m&d)))) | ((d&q)|~(~(((d&q)|v)))) | 1 | 0 | 1 | 0 | entailment |
~(((~(q)>~(~((((v|d)&m)>(v|v)))))|v)) | ((d&q)|~(~(((d&q)|v)))) | 0 | 1 | 1 | 0 | not entailment |
(m&((v|m)>(q&(m&d)))) | ~(((~(d)|m)&q)) | 0 | 1 | 1 | 0 | not entailment |
((r&~(v))&~((~(v)&v))) | (v>(~((v&(l|r)))&~(l))) | 1 | 1 | 0 | 0 | entailment |
(~((x>l))&((~(((l&l)&r))>l)>((l|x)&v))) | ((v>(~(r)&v))>x) | 1 | 1 | 1 | 0 | entailment |
((r&~(v))&~((~(v)&v))) | ((v>(~(r)&v))>x) | 0 | 1 | 0 | 0 | not entailment |
(~((x>l))&((~(((l&l)&r))>l)>((l|x)&v))) | (v>(~((v&(l|r)))&~(l))) | 0 | 1 | 1 | 0 | not entailment |
(((v&r)>x)>r) | (r|(~(((r>r)>((x&x)&v)))&(~(~(r))|l))) | 1 | 0 | 0 | 0 | entailment |
~((((x&v)&((v>x)>(l>(r|(v&x)))))|(x|l))) | (x>v) | 1 | 1 | 1 | 0 | entailment |
(((v&r)>x)>r) | (x>v) | 0 | 1 | 1 | 1 | not entailment |
~((((x&v)&((v>x)>(l>(r|(v&x)))))|(x|l))) | (r|(~(((r>r)>((x&x)&v)))&(~(~(r))|l))) | 0 | 1 | 1 | 0 | not entailment |
~(~((((x|x)|v)&x))) | ((~(l)|~(v))|~(~(~(~(((r|x)|r)))))) | 1 | 0 | 0 | 0 | entailment |
((x>v)&l) | (((x|(v|x))>l)|(l|r)) | 1 | 0 | 0 | 0 | entailment |
~(~((((x|x)|v)&x))) | (((x|(v|x))>l)|(l|r)) | 0 | 1 | 0 | 0 | not entailment |
((x>v)&l) | ((~(l)|~(v))|~(~(~(~(((r|x)|r)))))) | 0 | 0 | 0 | 0 | not entailment |
(x&(v|(~(v)>l))) | ((~((r&v))>(~(l)&v))>(x|r)) | 1 | 0 | 0 | 0 | entailment |
~(x) | ~(((v&(~((x|~((x&v))))|(x&v)))&~(l))) | 1 | 0 | 0 | 0 | entailment |
(x&(v|(~(v)>l))) | ~(((v&(~((x|~((x&v))))|(x&v)))&~(l))) | 0 | 0 | 1 | 0 | not entailment |
~(x) | ((~((r&v))>(~(l)&v))>(x|r)) | 0 | 0 | 0 | 0 | not entailment |
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