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)>(s&(a&((s>k)>a)))) | (k|s) | 1 | 1 | 1 | 1 | entailment |
~((~(((k>s)>~(a)))>((s|k)&s))) | ((k>a)|a) | 1 | 1 | 1 | 1 | entailment |
(~(k)>(s&(a&((s>k)>a)))) | ((k>a)|a) | 0 | 1 | 1 | 1 | not entailment |
~((~(((k>s)>~(a)))>((s|k)&s))) | (k|s) | 0 | 1 | 1 | 0 | not entailment |
((s&((s|(k>a))|k))&((a&s)&((s>a)&s))) | (~(~(s))|((s&k)&a)) | 1 | 1 | 1 | 1 | entailment |
(k&a) | ((s>s)>(~(k)>(s&(k&k)))) | 1 | 0 | 0 | 0 | entailment |
((s&((s|(k>a))|k))&((a&s)&((s>a)&s))) | ((s>s)>(~(k)>(s&(k&k)))) | 0 | 1 | 1 | 1 | not entailment |
(k&a) | (~(~(s))|((s&k)&a)) | 0 | 0 | 0 | 0 | not entailment |
((k|(k&s))&((k&~((k|s)))>a)) | ((~(a)|(a|~((((k|(a&a))&a)&k))))>(k|a)) | 1 | 0 | 1 | 0 | entailment |
~((~(k)>(k|(s>(~(~((s>a)))&a))))) | (a>(~((s>((a&k)>k)))|s)) | 1 | 1 | 1 | 0 | entailment |
((k|(k&s))&((k&~((k|s)))>a)) | (a>(~((s>((a&k)>k)))|s)) | 0 | 1 | 1 | 0 | not entailment |
~((~(k)>(k|(s>(~(~((s>a)))&a))))) | ((~(a)|(a|~((((k|(a&a))&a)&k))))>(k|a)) | 0 | 0 | 1 | 0 | not entailment |
(((s&s)>~((s>a)))>(a&s)) | ((k&k)|(s&((k&(k|k))>k))) | 1 | 1 | 0 | 0 | entailment |
~(((a|(s&s))|~(~(((k&k)|(k|k)))))) | ~(((k|a)&(k>~((s&a))))) | 1 | 1 | 1 | 0 | entailment |
(((s&s)>~((s>a)))>(a&s)) | ~(((k|a)&(k>~((s&a))))) | 0 | 1 | 0 | 0 | not entailment |
~(((a|(s&s))|~(~(((k&k)|(k|k)))))) | ((k&k)|(s&((k&(k|k))>k))) | 0 | 1 | 1 | 0 | not entailment |
~((s>a)) | ((a>a)>s) | 1 | 1 | 1 | 0 | entailment |
((((k>(s>a))>s)>s)>(~((a>s))|((k&a)&s))) | (((s&a)&(~(a)|k))|((s>k)|(a&a))) | 1 | 1 | 1 | 1 | entailment |
~((s>a)) | (((s&a)&(~(a)|k))|((s>k)|(a&a))) | 0 | 0 | 0 | 0 | not entailment |
((((k>(s>a))>s)>s)>(~((a>s))|((k&a)&s))) | ((a>a)>s) | 0 | 1 | 1 | 1 | not entailment |
(~(((k>a)|(k&s)))&(k|(~(k)&s))) | ((~(~(s))|k)&((((s|k)>k)|(k|a))|s)) | 1 | 0 | 1 | 0 | entailment |
(k>(~((a|(s>s)))|(~(a)&(a|a)))) | (s|~((k&(((s>s)|~(((s|k)>a)))>(s|k))))) | 1 | 0 | 1 | 0 | entailment |
(~(((k>a)|(k&s)))&(k|(~(k)&s))) | (s|~((k&(((s>s)|~(((s|k)>a)))>(s|k))))) | 0 | 0 | 1 | 1 | not entailment |
(k>(~((a|(s>s)))|(~(a)&(a|a)))) | ((~(~(s))|k)&((((s|k)>k)|(k|a))|s)) | 0 | 0 | 1 | 0 | not entailment |
((s|(s&((s>k)>k)))|s) | (s|(a|a)) | 1 | 1 | 0 | 0 | entailment |
~(a) | (~(~((((a>s)|((k|a)|s))>s)))>(a>k)) | 1 | 0 | 0 | 0 | entailment |
((s|(s&((s>k)>k)))|s) | (~(~((((a>s)|((k|a)|s))>s)))>(a>k)) | 0 | 0 | 0 | 0 | not entailment |
~(a) | (s|(a|a)) | 0 | 0 | 0 | 0 | not entailment |
(k&a) | (k|(a|((a|k)&a))) | 1 | 0 | 1 | 1 | entailment |
(~(((k>s)>a))|~(((s&s)|(a|(k&~(k)))))) | (~(((a&((s>k)&~(s)))&(a|k)))|s) | 1 | 1 | 1 | 1 | entailment |
(k&a) | (~(((a&((s>k)&~(s)))&(a|k)))|s) | 0 | 0 | 0 | 0 | not entailment |
(~(((k>s)>a))|~(((s&s)|(a|(k&~(k)))))) | (k|(a|((a|k)&a))) | 0 | 1 | 1 | 0 | not entailment |
(a&((s|k)&k)) | ((a&(a&(k&k)))|((s|k)>s)) | 1 | 0 | 1 | 0 | entailment |
~((a&a)) | (((a&a)>(s&a))|s) | 1 | 0 | 0 | 0 | entailment |
(a&((s|k)&k)) | (((a&a)>(s&a))|s) | 0 | 0 | 1 | 0 | not entailment |
~((a&a)) | ((a&(a&(k&k)))|((s|k)>s)) | 0 | 0 | 0 | 0 | not entailment |
(~(s)>s) | (((k>s)|(a|a))|s) | 1 | 0 | 0 | 0 | entailment |
~(((k>a)|(a&(s>(~((k|(k&a)))|a))))) | ~(~((k&(s>(s&((s>(s|s))>(k>k))))))) | 1 | 1 | 1 | 0 | entailment |
(~(s)>s) | ~(~((k&(s>(s&((s>(s|s))>(k>k))))))) | 0 | 0 | 0 | 0 | not entailment |
~(((k>a)|(a&(s>(~((k|(k&a)))|a))))) | (((k>s)|(a|a))|s) | 0 | 1 | 1 | 0 | not entailment |
(((s>k)>(a&(k&k)))&((s>(k&s))>~((k>a)))) | (k>s) | 1 | 1 | 1 | 1 | entailment |
(k&a) | ((~(~(k))>k)&k) | 1 | 0 | 1 | 0 | entailment |
(((s>k)>(a&(k&k)))&((s>(k&s))>~((k>a)))) | ((~(~(k))>k)&k) | 0 | 1 | 1 | 1 | not entailment |
(k&a) | (k>s) | 0 | 1 | 0 | 0 | not entailment |
(((s|a)&(s|s))|((s>(s|s))>((~(k)|a)>s))) | (((s|a)>(s>k))>(~((k|s))>s)) | 1 | 1 | 1 | 0 | entailment |
~(~((((k>k)&((k>s)&a))&a))) | ((((s&a)>k)|~(~(a)))>(s>a)) | 1 | 1 | 1 | 0 | entailment |
(((s|a)&(s|s))|((s>(s|s))>((~(k)|a)>s))) | ((((s&a)>k)|~(~(a)))>(s>a)) | 0 | 1 | 1 | 0 | not entailment |
~(~((((k>k)&((k>s)&a))&a))) | (((s|a)>(s>k))>(~((k|s))>s)) | 0 | 1 | 1 | 1 | not entailment |
(~(~((s|(~(~(k))>k))))&(((k&k)>a)&k)) | ((s|(a&a))&a) | 1 | 1 | 1 | 1 | entailment |
~((k>((s&s)>(a&a)))) | ~(~(s)) | 1 | 1 | 1 | 1 | entailment |
(~(~((s|(~(~(k))>k))))&(((k&k)>a)&k)) | ~(~(s)) | 0 | 1 | 1 | 1 | not entailment |
~((k>((s&s)>(a&a)))) | ((s|(a&a))&a) | 0 | 1 | 1 | 0 | not entailment |
(~(((s>a)>(a&~(k))))&s) | ~(~((a>k))) | 1 | 1 | 1 | 1 | entailment |
~(s) | ~(((k&s)&k)) | 1 | 0 | 0 | 0 | entailment |
(~(((s>a)>(a&~(k))))&s) | ~(((k&s)&k)) | 0 | 1 | 1 | 0 | not entailment |
~(s) | ~(~((a>k))) | 0 | 0 | 0 | 0 | not entailment |
(k&(((s&s)>a)&(k>(s>s)))) | (a>(k&k)) | 1 | 1 | 1 | 0 | entailment |
((((a>k)>(k&s))&a)&((k&a)|a)) | ((k|(a|(~(k)>s)))>(k>a)) | 1 | 1 | 1 | 0 | entailment |
(k&(((s&s)>a)&(k>(s>s)))) | ((k|(a|(~(k)>s)))>(k>a)) | 0 | 1 | 1 | 0 | not entailment |
((((a>k)>(k&s))&a)&((k&a)|a)) | (a>(k&k)) | 0 | 1 | 1 | 0 | not entailment |
(~((k>~(s)))&a) | (a|s) | 1 | 1 | 1 | 1 | entailment |
~(((a&a)|(~(a)&k))) | ~((((s&a)>k)&k)) | 1 | 1 | 0 | 0 | entailment |
(~((k>~(s)))&a) | ~((((s&a)>k)&k)) | 0 | 1 | 1 | 0 | not entailment |
~(((a&a)|(~(a)&k))) | (a|s) | 0 | 1 | 0 | 0 | not entailment |
(s&((~(a)>(s&(a|k)))>k)) | (((k&a)&a)|((s|a)|((a>(k|k))>(s&(k&s))))) | 1 | 0 | 1 | 0 | entailment |
~(((((s>a)|k)|k)>(~((a>(k>a)))|k))) | (k>~((s&(a|~(s))))) | 1 | 1 | 1 | 0 | entailment |
(s&((~(a)>(s&(a|k)))>k)) | (k>~((s&(a|~(s))))) | 0 | 1 | 1 | 1 | not entailment |
~(((((s>a)|k)|k)>(~((a>(k>a)))|k))) | (((k&a)&a)|((s|a)|((a>(k|k))>(s&(k&s))))) | 0 | 0 | 1 | 0 | not entailment |
(~(~(((s|k)|a)))>(~(k)&((k&(a&a))&k))) | ((~((s|(a>a)))|a)>~(a)) | 1 | 1 | 1 | 0 | entailment |
(k&~(~((k>s)))) | (((a|s)|(s&a))|k) | 1 | 1 | 0 | 0 | entailment |
(~(~(((s|k)|a)))>(~(k)&((k&(a&a))&k))) | (((a|s)|(s&a))|k) | 0 | 1 | 1 | 0 | not entailment |
(k&~(~((k>s)))) | ((~((s|(a>a)))|a)>~(a)) | 0 | 0 | 0 | 0 | not entailment |
~((((t&~(t))>l)>((p|c)|l))) | ~((~(t)&(l|t))) | 1 | 1 | 1 | 1 | entailment |
(h&h) | (~((h|~(~(t))))>((m|(p&t))|l)) | 1 | 0 | 0 | 0 | entailment |
~((((t&~(t))>l)>((p|c)|l))) | (~((h|~(~(t))))>((m|(p&t))|l)) | 0 | 0 | 0 | 0 | not entailment |
(h&h) | ~((~(t)&(l|t))) | 0 | 0 | 0 | 0 | not entailment |
(p&t) | (~(~((m&(h&t))))|((~(p)>h)|~(~(m)))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((p|~((c>~(t))))))) | (((l|c)>t)>(h>((c&c)>((c>l)|(p&m))))) | 1 | 0 | 0 | 0 | entailment |
(p&t) | (((l|c)>t)>(h>((c&c)>((c>l)|(p&m))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((p|~((c>~(t))))))) | (~(~((m&(h&t))))|((~(p)>h)|~(~(m)))) | 0 | 0 | 0 | 0 | not entailment |
~(((m&m)&h)) | (((m&m)>(h>t))|~((c|m))) | 1 | 0 | 0 | 0 | entailment |
~((p|(~(l)|~((c&c))))) | (h>((p|p)>c)) | 1 | 1 | 0 | 0 | entailment |
~(((m&m)&h)) | (h>((p|p)>c)) | 0 | 1 | 0 | 0 | not entailment |
~((p|(~(l)|~((c&c))))) | (((m&m)>(h>t))|~((c|m))) | 0 | 1 | 0 | 0 | not entailment |
~((((c|(t>t))&(h&t))>~(~((t>~(p)))))) | (p>t) | 1 | 1 | 1 | 0 | entailment |
((p&(c>l))&(l>(m&~(m)))) | ((m&p)>~(c)) | 1 | 1 | 1 | 0 | entailment |
~((((c|(t>t))&(h&t))>~(~((t>~(p)))))) | ((m&p)>~(c)) | 0 | 1 | 0 | 0 | not entailment |
((p&(c>l))&(l>(m&~(m)))) | (p>t) | 0 | 1 | 0 | 0 | not entailment |
~((l>(~(((c>p)>(p|l)))&c))) | (((~(p)|~((h|m)))&~(m))>(l|l)) | 1 | 0 | 0 | 0 | entailment |
(t&(h&h)) | (((t|t)|(~((l&l))|m))|(p&~(t))) | 1 | 0 | 0 | 0 | entailment |
~((l>(~(((c>p)>(p|l)))&c))) | (((t|t)|(~((l&l))|m))|(p&~(t))) | 0 | 0 | 0 | 0 | not entailment |
(t&(h&h)) | (((~(p)|~((h|m)))&~(m))>(l|l)) | 0 | 0 | 0 | 0 | not entailment |
((((l&m)|t)&~(p))&(~((p|p))|(l&l))) | (t|((c>t)>(p>m))) | 1 | 1 | 0 | 0 | entailment |
~(((l>(l>h))>(h>(m&p)))) | ((h|~(t))|~(~(~((p|~(m)))))) | 1 | 0 | 0 | 0 | entailment |
((((l&m)|t)&~(p))&(~((p|p))|(l&l))) | ((h|~(t))|~(~(~((p|~(m)))))) | 0 | 1 | 0 | 0 | not entailment |
~(((l>(l>h))>(h>(m&p)))) | (t|((c>t)>(p>m))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(l))&~((c>p))) | ((~(h)|~(l))>~(~(((l|(p|l))|h)))) | 1 | 0 | 0 | 0 | entailment |
((((p&(c>t))&h)>(~(l)|t))&((l>l)&(c>m))) | (((((p&(c>h))&t)|h)|~(~((t>m))))|~(c)) | 1 | 1 | 1 | 0 | entailment |
(~(~(l))&~((c>p))) | (((((p&(c>h))&t)|h)|~(~((t>m))))|~(c)) | 0 | 0 | 0 | 0 | not entailment |
((((p&(c>t))&h)>(~(l)|t))&((l>l)&(c>m))) | ((~(h)|~(l))>~(~(((l|(p|l))|h)))) | 0 | 1 | 1 | 0 | not entailment |
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