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 |
|---|---|---|---|---|---|---|
(a&t) | ((((p&p)>(a&p))>(a>(x|(p>q))))>(p>a)) | 1 | 0 | 0 | 0 | entailment |
(~(q)&(((t|a)>t)&((t&x)&t))) | ~(~((~((q|x))>q))) | 1 | 1 | 1 | 0 | entailment |
(a&t) | ~(~((~((q|x))>q))) | 0 | 0 | 0 | 0 | not entailment |
(~(q)&(((t|a)>t)&((t&x)&t))) | ((((p&p)>(a&p))>(a>(x|(p>q))))>(p>a)) | 0 | 0 | 0 | 0 | not entailment |
((~(a)&(q>x))|(a&(a>((a&(t&q))|(x&x))))) | ((((a>p)>q)>((p>(p>t))>(x|a)))|x) | 1 | 1 | 0 | 0 | entailment |
((t&(x>x))&~(~(((t>t)>((p&q)&(x>a)))))) | (~(x)>~((~((~(t)>a))&((p|x)|(x&q))))) | 1 | 1 | 1 | 0 | entailment |
((~(a)&(q>x))|(a&(a>((a&(t&q))|(x&x))))) | (~(x)>~((~((~(t)>a))&((p|x)|(x&q))))) | 0 | 1 | 0 | 0 | not entailment |
((t&(x>x))&~(~(((t>t)>((p&q)&(x>a)))))) | ((((a>p)>q)>((p>(p>t))>(x|a)))|x) | 0 | 1 | 1 | 0 | not entailment |
~((a>t)) | (p>(t|a)) | 1 | 1 | 0 | 0 | entailment |
(q&p) | (((q>((t|(p&a))&~((q&~(q)))))&(q>t))>p) | 1 | 0 | 0 | 0 | entailment |
~((a>t)) | (((q>((t|(p&a))&~((q&~(q)))))&(q>t))>p) | 0 | 0 | 0 | 0 | not entailment |
(q&p) | (p>(t|a)) | 0 | 0 | 0 | 0 | not entailment |
(((((q>q)>~(p))|(a>(p|t)))|p)&q) | (q|a) | 1 | 1 | 1 | 0 | entailment |
~((~(~((p>~(t))))&(q>q))) | ((q|a)>(t|x)) | 1 | 1 | 0 | 0 | entailment |
(((((q>q)>~(p))|(a>(p|t)))|p)&q) | ((q|a)>(t|x)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((p>~(t))))&(q>q))) | (q|a) | 0 | 1 | 0 | 0 | not entailment |
(q&~(~((~(~(p))&(a&(a&t)))))) | (~((a>~(~((t&t)))))>(~((a>t))&(t|p))) | 1 | 0 | 1 | 0 | entailment |
~(q) | ~(q) | 1 | 1 | 1 | 1 | entailment |
(q&~(~((~(~(p))&(a&(a&t)))))) | ~(q) | 0 | 1 | 1 | 0 | not entailment |
~(q) | (~((a>~(~((t&t)))))>(~((a>t))&(t|p))) | 0 | 0 | 0 | 0 | not entailment |
((q|a)&(t&t)) | (((a|p)>(x&a))|((p&x)>((p>(t&q))|~(t)))) | 1 | 0 | 0 | 0 | entailment |
(p&((q|p)>x)) | (x|(a&((p&q)|t))) | 1 | 0 | 0 | 0 | entailment |
((q|a)&(t&t)) | (x|(a&((p&q)|t))) | 0 | 0 | 0 | 0 | not entailment |
(p&((q|p)>x)) | (((a|p)>(x&a))|((p&x)>((p>(t&q))|~(t)))) | 0 | 0 | 0 | 0 | not entailment |
(x&t) | ((~((t>x))&(t&a))>~((t>(x>(t|x))))) | 1 | 0 | 0 | 0 | entailment |
(t&(~((a|q))>q)) | ((t>q)|a) | 1 | 1 | 1 | 0 | entailment |
(x&t) | ((t>q)|a) | 0 | 0 | 0 | 0 | not entailment |
(t&(~((a|q))>q)) | ((~((t>x))&(t&a))>~((t>(x>(t|x))))) | 0 | 0 | 0 | 0 | not entailment |
((p&(((((a&a)>(t>p))&x)|a)>a))&a) | (q>(p|x)) | 1 | 1 | 0 | 0 | entailment |
(((q&(x&((a&(p>t))|~(a))))>q)>t) | (t|~(((x&(t>q))&(q|(a&((x|a)&q)))))) | 1 | 0 | 1 | 0 | entailment |
((p&(((((a&a)>(t>p))&x)|a)>a))&a) | (t|~(((x&(t>q))&(q|(a&((x|a)&q)))))) | 0 | 0 | 0 | 0 | not entailment |
(((q&(x&((a&(p>t))|~(a))))>q)>t) | (q>(p|x)) | 0 | 1 | 1 | 0 | not entailment |
(x&(((q&a)|a)|a)) | (~(~(~(a)))>(q>(((t>q)|q)&~(p)))) | 1 | 0 | 0 | 0 | entailment |
(p|p) | ((((q&x)|a)&q)|(x>~(~(p)))) | 1 | 0 | 0 | 0 | entailment |
(x&(((q&a)|a)|a)) | ((((q&x)|a)&q)|(x>~(~(p)))) | 0 | 0 | 0 | 0 | not entailment |
(p|p) | (~(~(~(a)))>(q>(((t>q)|q)&~(p)))) | 0 | 0 | 0 | 0 | not entailment |
((x&a)&(q|~(t))) | ((a|p)&((x|a)|p)) | 1 | 1 | 0 | 0 | entailment |
(t&((x&(a>(((q>(a|x))>p)|q)))>(q|(a&q)))) | (((p>~(p))>(q&((q|p)>p)))|(p|(t|t))) | 1 | 1 | 1 | 0 | entailment |
((x&a)&(q|~(t))) | (((p>~(p))>(q&((q|p)>p)))|(p|(t|t))) | 0 | 0 | 0 | 0 | not entailment |
(t&((x&(a>(((q>(a|x))>p)|q)))>(q|(a&q)))) | ((a|p)&((x|a)|p)) | 0 | 1 | 1 | 0 | not entailment |
((t|t)&p) | (((t>t)&(x|p))>p) | 1 | 0 | 0 | 0 | entailment |
~((q>(q&p))) | ((t>~(t))|(q|((q>p)>(q&t)))) | 1 | 0 | 0 | 0 | entailment |
((t|t)&p) | ((t>~(t))|(q|((q>p)>(q&t)))) | 0 | 0 | 0 | 0 | not entailment |
~((q>(q&p))) | (((t>t)&(x|p))>p) | 0 | 0 | 0 | 0 | not entailment |
((t|a)>(((q>(a|p))>x)&p)) | (~((a|a))|x) | 1 | 1 | 1 | 1 | entailment |
(((((((x|q)>t)|q)|p)>(p|x))>((p&p)>t))&q) | (x|(~((p|~(q)))|p)) | 1 | 1 | 1 | 0 | entailment |
((t|a)>(((q>(a|p))>x)&p)) | (x|(~((p|~(q)))|p)) | 0 | 1 | 1 | 1 | not entailment |
(((((((x|q)>t)|q)|p)>(p|x))>((p&p)>t))&q) | (~((a|a))|x) | 0 | 1 | 0 | 0 | not entailment |
~(((((q>q)|((a>a)>t))>(~(~(a))|q))>x)) | (((a|q)|x)|~(((p&t)|q))) | 1 | 1 | 0 | 0 | entailment |
~(((((t>q)|p)|(p|x))&q)) | ((a&t)|~(q)) | 1 | 1 | 0 | 0 | entailment |
~(((((q>q)|((a>a)>t))>(~(~(a))|q))>x)) | ((a&t)|~(q)) | 0 | 1 | 1 | 0 | not entailment |
~(((((t>q)|p)|(p|x))&q)) | (((a|q)|x)|~(((p&t)|q))) | 0 | 1 | 0 | 0 | not entailment |
(a|((((q&x)|a)&~((t>a)))|a)) | (x|a) | 1 | 1 | 1 | 1 | entailment |
~((((a>t)|(a>p))&p)) | (((p>x)|p)&~(~((t>~(p))))) | 1 | 0 | 0 | 0 | entailment |
(a|((((q&x)|a)&~((t>a)))|a)) | (((p>x)|p)&~(~((t>~(p))))) | 0 | 1 | 0 | 0 | not entailment |
~((((a>t)|(a>p))&p)) | (x|a) | 0 | 1 | 0 | 0 | not entailment |
(t|t) | (t&(c>c)) | 1 | 0 | 0 | 0 | entailment |
(l&g) | (((g|(c|c))|l)|((l&t)&c)) | 1 | 0 | 0 | 0 | entailment |
(t|t) | (((g|(c|c))|l)|((l&t)&c)) | 0 | 0 | 0 | 0 | not entailment |
(l&g) | (t&(c>c)) | 0 | 0 | 0 | 0 | not entailment |
(c>g) | (c>(g|t)) | 1 | 0 | 0 | 0 | entailment |
((g&(l&l))|~((l>~(c)))) | ~(~(((l|c)|(((t>t)|(g>(c&l)))&c)))) | 1 | 0 | 0 | 0 | entailment |
(c>g) | ~(~(((l|c)|(((t>t)|(g>(c&l)))&c)))) | 0 | 0 | 0 | 0 | not entailment |
((g&(l&l))|~((l>~(c)))) | (c>(g|t)) | 0 | 1 | 0 | 0 | not entailment |
(l&(g&~(t))) | ~(~(((c|l)|(g|(g&g))))) | 1 | 0 | 0 | 0 | entailment |
((t|t)&~(l)) | (~((g&c))|t) | 1 | 1 | 0 | 0 | entailment |
(l&(g&~(t))) | (~((g&c))|t) | 0 | 1 | 0 | 0 | not entailment |
((t|t)&~(l)) | ~(~(((c|l)|(g|(g&g))))) | 0 | 0 | 0 | 0 | not entailment |
(((l>c)>g)&(l&t)) | (t|~(((l>~(c))>l))) | 1 | 0 | 1 | 0 | entailment |
~((~(c)>((c&c)|g))) | ~(((((t&t)&c)&l)&g)) | 1 | 1 | 0 | 0 | entailment |
(((l>c)>g)&(l&t)) | ~(((((t&t)&c)&l)&g)) | 0 | 0 | 1 | 0 | not entailment |
~((~(c)>((c&c)|g))) | (t|~(((l>~(c))>l))) | 0 | 1 | 0 | 0 | not entailment |
((t>c)&~((~(g)&(c|(c|~(~((c&t)))))))) | ((c>g)|(~((c&(~(t)|g)))&c)) | 1 | 1 | 1 | 0 | entailment |
((~((l&c))|(t&(l&l)))>(g&c)) | ((~(g)>(g|t))|c) | 1 | 1 | 1 | 0 | entailment |
((t>c)&~((~(g)&(c|(c|~(~((c&t)))))))) | ((~(g)>(g|t))|c) | 0 | 1 | 1 | 0 | not entailment |
((~((l&c))|(t&(l&l)))>(g&c)) | ((c>g)|(~((c&(~(t)|g)))&c)) | 0 | 1 | 1 | 0 | not entailment |
((g|(g&(l>t)))&((g>t)&g)) | ((c>((c>c)&g))&((c|l)>g)) | 1 | 1 | 0 | 0 | entailment |
((~((c&g))&~(c))>(l&(c&g))) | ((c>((c|l)>l))>((g&g)>l)) | 1 | 1 | 1 | 0 | entailment |
((g|(g&(l>t)))&((g>t)&g)) | ((c>((c|l)>l))>((g&g)>l)) | 0 | 1 | 0 | 0 | not entailment |
((~((c&g))&~(c))>(l&(c&g))) | ((c>((c>c)&g))&((c|l)>g)) | 0 | 1 | 1 | 0 | not entailment |
~((t|l)) | (g|~(l)) | 1 | 1 | 0 | 0 | entailment |
(c&(~(((l|(l|c))|(g|(g>t))))|l)) | (~(c)>l) | 1 | 1 | 1 | 1 | entailment |
~((t|l)) | (~(c)>l) | 0 | 1 | 0 | 0 | not entailment |
(c&(~(((l|(l|c))|(g|(g>t))))|l)) | (g|~(l)) | 0 | 1 | 1 | 1 | not entailment |
(g&((t>~(t))>(t&l))) | (~(((l|c)>c))>t) | 1 | 1 | 0 | 0 | entailment |
~((c&((l|c)&((l&t)>((t>g)>(c>g)))))) | ~((c&~(~((~((l|l))>~((g|~(g)))))))) | 1 | 0 | 1 | 1 | entailment |
(g&((t>~(t))>(t&l))) | ~((c&~(~((~((l|l))>~((g|~(g)))))))) | 0 | 0 | 0 | 0 | not entailment |
~((c&((l|c)&((l&t)>((t>g)>(c>g)))))) | (~(((l|c)>c))>t) | 0 | 1 | 1 | 1 | not entailment |
~((~((c>(c>(g>c))))|c)) | (c>t) | 1 | 1 | 0 | 0 | entailment |
(((g|c)>((l&l)|l))&c) | (l|(t&(c|g))) | 1 | 1 | 0 | 0 | entailment |
~((~((c>(c>(g>c))))|c)) | (l|(t&(c|g))) | 0 | 1 | 0 | 0 | not entailment |
(((g|c)>((l&l)|l))&c) | (c>t) | 0 | 1 | 0 | 0 | not entailment |
(((l>l)&(((~(~(t))&c)&t)&t))&(l&t)) | ~((~(c)&(~(t)>g))) | 1 | 1 | 0 | 0 | entailment |
((~(l)|g)&l) | (~((t|((c|t)>~(g))))|((l|~(l))>(l>g))) | 1 | 0 | 0 | 0 | entailment |
(((l>l)&(((~(~(t))&c)&t)&t))&(l&t)) | (~((t|((c|t)>~(g))))|((l|~(l))>(l>g))) | 0 | 0 | 0 | 0 | not entailment |
((~(l)|g)&l) | ~((~(c)&(~(t)>g))) | 0 | 0 | 0 | 0 | not entailment |
(l&t) | ((t>(((c>t)|t)>(l>(l|c))))>l) | 1 | 0 | 0 | 0 | entailment |
~((~(c)>((t|(l>t))>l))) | (((l|g)&(((l>l)|~(c))&l))>~(c)) | 1 | 0 | 0 | 0 | entailment |
(l&t) | (((l|g)&(((l>l)|~(c))&l))>~(c)) | 0 | 0 | 0 | 0 | not entailment |
~((~(c)>((t|(l>t))>l))) | ((t>(((c>t)|t)>(l>(l|c))))>l) | 0 | 0 | 1 | 0 | not entailment |
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