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 |
|---|---|---|---|---|---|---|
((n>~((i&(j>(i|j)))))>~((p>p))) | ((~(((s>n)&s))|j)&p) | 0 | 1 | 0 | 0 | not entailment |
~(~(((s>(o&(i|j)))&~((p>o))))) | (((n>j)|(n>i))|(p&s)) | 0 | 1 | 0 | 0 | not entailment |
(~((n>o))|((j&p)&i)) | ((j&(p>(o>p)))>((~(n)&i)>(p&p))) | 1 | 0 | 1 | 0 | entailment |
~(((n|p)|(((i&i)>(i&n))|n))) | (((p|~(i))|s)>(i>~((i>n)))) | 1 | 1 | 0 | 0 | entailment |
(~((n>o))|((j&p)&i)) | (((p|~(i))|s)>(i>~((i>n)))) | 0 | 0 | 0 | 0 | not entailment |
~(((n|p)|(((i&i)>(i&n))|n))) | ((j&(p>(o>p)))>((~(n)&i)>(p&p))) | 0 | 0 | 0 | 0 | not entailment |
(((v&b)>~((v>((b&b)>~(b)))))&v) | ((b>v)&(v|b)) | 1 | 1 | 1 | 1 | entailment |
~(~(~(((v>b)>((b|v)>v))))) | (v>b) | 1 | 1 | 1 | 1 | entailment |
(((v&b)>~((v>((b&b)>~(b)))))&v) | (v>b) | 0 | 1 | 1 | 1 | not entailment |
~(~(~(((v>b)>((b|v)>v))))) | ((b>v)&(v|b)) | 0 | 1 | 1 | 0 | not entailment |
(((~(b)&b)|(b|~(v)))&(b|(v|b))) | (~(((b|~((b>v)))|v))>v) | 1 | 1 | 1 | 1 | entailment |
(~((~(v)|v))|((v|v)|~(b))) | ((~(b)&((b|b)>b))|(v|v)) | 1 | 1 | 1 | 0 | entailment |
(((~(b)&b)|(b|~(v)))&(b|(v|b))) | ((~(b)&((b|b)>b))|(v|v)) | 0 | 1 | 1 | 1 | not entailment |
(~((~(v)|v))|((v|v)|~(b))) | (~(((b|~((b>v)))|v))>v) | 0 | 1 | 1 | 0 | not entailment |
~(~(((~(b)|b)>v))) | ((((v>(b&v))>v)&((b&b)>v))|(b>v)) | 1 | 0 | 1 | 0 | entailment |
((~((v>b))>((v>b)|b))&(b&b)) | (b|(((b&b)|b)|(b&(b&v)))) | 1 | 1 | 1 | 0 | entailment |
~(~(((~(b)|b)>v))) | (b|(((b&b)|b)|(b&(b&v)))) | 0 | 0 | 1 | 1 | not entailment |
((~((v>b))>((v>b)|b))&(b&b)) | ((((v>(b&v))>v)&((b&b)>v))|(b>v)) | 0 | 0 | 1 | 0 | not entailment |
(~((((v>v)>(v|v))>(b|b)))&(b>v)) | (b>(b&~(~(((b|(b&b))&(~((b>v))&v)))))) | 1 | 0 | 1 | 0 | entailment |
~((b>v)) | (((b>~((~(b)>((v&v)>b))))&b)|~(v)) | 1 | 0 | 1 | 0 | entailment |
(~((((v>v)>(v|v))>(b|b)))&(b>v)) | (((b>~((~(b)>((v&v)>b))))&b)|~(v)) | 0 | 0 | 1 | 0 | not entailment |
~((b>v)) | (b>(b&~(~(((b|(b&b))&(~((b>v))&v)))))) | 0 | 0 | 1 | 0 | not entailment |
(((~(b)|~(b))>b)&b) | ((~(v)&~(((b|b)>v)))|(v&v)) | 1 | 0 | 0 | 0 | entailment |
~((b|(b&((v>b)|v)))) | ~(b) | 1 | 1 | 1 | 1 | entailment |
(((~(b)|~(b))>b)&b) | ~(b) | 0 | 1 | 1 | 0 | not entailment |
~((b|(b&((v>b)|v)))) | ((~(v)&~(((b|b)>v)))|(v&v)) | 0 | 0 | 1 | 0 | not entailment |
((b|b)&b) | ((v>v)&(~(((~(b)|v)|((b>b)>~(v))))|b)) | 1 | 0 | 0 | 0 | entailment |
(v&v) | (v&((v&(b>v))&(v|b))) | 1 | 0 | 0 | 0 | entailment |
((b|b)&b) | (v&((v&(b>v))&(v|b))) | 0 | 0 | 0 | 0 | not entailment |
(v&v) | ((v>v)&(~(((~(b)|v)|((b>b)>~(v))))|b)) | 0 | 0 | 0 | 0 | not entailment |
(v&((v>b)>b)) | (v|b) | 1 | 1 | 1 | 1 | entailment |
((v&(v|b))>(b&b)) | (v>b) | 1 | 1 | 1 | 1 | entailment |
(v&((v>b)>b)) | (v>b) | 0 | 1 | 1 | 0 | not entailment |
((v&(v|b))>(b&b)) | (v|b) | 0 | 1 | 1 | 0 | not entailment |
(v&b) | (v|(b&v)) | 1 | 0 | 1 | 1 | entailment |
~((((b>v)>v)|(b|~((b>(b>b)))))) | (v>~((b|b))) | 1 | 1 | 1 | 1 | entailment |
(v&b) | (v>~((b|b))) | 0 | 0 | 1 | 0 | not entailment |
~((((b>v)>v)|(b|~((b>(b>b)))))) | (v|(b&v)) | 0 | 1 | 1 | 1 | not entailment |
((~(((v>v)>(b>(v|b))))|v)|v) | (v&v) | 1 | 1 | 1 | 1 | entailment |
((~(~((b&b)))|(v&b))|~(((b>(v&b))|b))) | ((b&b)|~((((v>v)>v)|~((v|b))))) | 1 | 1 | 1 | 1 | entailment |
((~(((v>v)>(b>(v|b))))|v)|v) | ((b&b)|~((((v>v)>v)|~((v|b))))) | 0 | 0 | 1 | 1 | not entailment |
((~(~((b&b)))|(v&b))|~(((b>(v&b))|b))) | (v&v) | 0 | 1 | 1 | 1 | not entailment |
~(~((((~(v)>b)|~((b&b)))>b))) | ((v|v)|(v|(b|v))) | 1 | 1 | 1 | 0 | entailment |
((~(b)>((b&v)|b))>~(((v&~((b>b)))|b))) | (b>~(v)) | 1 | 1 | 1 | 1 | entailment |
~(~((((~(v)>b)|~((b&b)))>b))) | (b>~(v)) | 0 | 1 | 1 | 1 | not entailment |
((~(b)>((b&v)|b))>~(((v&~((b>b)))|b))) | ((v|v)|(v|(b|v))) | 0 | 1 | 1 | 0 | not entailment |
~(~((((((b|v)|b)|b)|(~(v)>v))&(v&v)))) | ((b>(~(v)&v))|v) | 1 | 1 | 1 | 0 | entailment |
~((((b|b)>~(v))>(v&(b|(v>v))))) | ~(v) | 1 | 1 | 1 | 1 | entailment |
~(~((((((b|v)|b)|b)|(~(v)>v))&(v&v)))) | ~(v) | 0 | 1 | 1 | 0 | not entailment |
~((((b|b)>~(v))>(v&(b|(v>v))))) | ((b>(~(v)&v))|v) | 0 | 1 | 1 | 1 | not entailment |
((v>b)>v) | (v&(v&v)) | 1 | 1 | 1 | 1 | entailment |
(b&(b>b)) | ((v&((b>v)>b))|(b&(((v>v)&(b&v))|(v|b)))) | 1 | 0 | 0 | 0 | entailment |
((v>b)>v) | ((v&((b>v)>b))|(b&(((v>v)&(b&v))|(v|b)))) | 0 | 0 | 1 | 0 | not entailment |
(b&(b>b)) | (v&(v&v)) | 0 | 1 | 0 | 0 | not entailment |
~((b|b)) | ~(b) | 1 | 1 | 1 | 1 | entailment |
(v&b) | ~(b) | 0 | 1 | 1 | 0 | not entailment |
~((b|b)) | (b&v) | 0 | 1 | 0 | 0 | not entailment |
(b&b) | ((~(b)>(v&v))&b) | 1 | 0 | 0 | 0 | entailment |
(((v>b)|v)&((~(v)&v)|~((~(v)|b)))) | ((v|v)>~((~(b)>b))) | 1 | 1 | 1 | 1 | entailment |
(b&b) | ((v|v)>~((~(b)>b))) | 0 | 0 | 0 | 0 | not entailment |
(((v>b)|v)&((~(v)&v)|~((~(v)|b)))) | ((~(b)>(v&v))&b) | 0 | 1 | 1 | 1 | not entailment |
(((~((b|v))|v)&((b>(v>(b|v)))|b))&(b&b)) | ((v>((b&b)>(b>(b&v))))&(b|(v|b))) | 1 | 1 | 1 | 1 | entailment |
~((~(b)>~(((v|v)|((v>b)|v))))) | (~((b&b))|((v|v)&~((b>v)))) | 1 | 1 | 1 | 1 | entailment |
(((~((b|v))|v)&((b>(v>(b|v)))|b))&(b&b)) | (~((b&b))|((v|v)&~((b>v)))) | 0 | 1 | 1 | 1 | not entailment |
~((~(b)>~(((v|v)|((v>b)|v))))) | ((v>((b&b)>(b>(b&v))))&(b|(v|b))) | 0 | 1 | 1 | 1 | not entailment |
(v&(~(b)>b)) | ((b|(b>b))&(((b|b)&b)|(b|v))) | 1 | 0 | 1 | 0 | entailment |
(~(b)&(b>v)) | ~((b&(v|v))) | 1 | 1 | 1 | 0 | entailment |
(v&(~(b)>b)) | ~((b&(v|v))) | 0 | 1 | 1 | 0 | not entailment |
(~(b)&(b>v)) | ((b|(b>b))&(((b|b)&b)|(b|v))) | 0 | 0 | 1 | 0 | not entailment |
((((v>~(v))>(v|v))&~((b>v)))|(v&b)) | ((v|v)|((b>(b&b))>~((b>v)))) | 1 | 1 | 1 | 0 | entailment |
~((v|((v>b)>v))) | ~((((b&b)&v)|((v>(b>(v>v)))&v))) | 1 | 0 | 1 | 0 | entailment |
((((v>~(v))>(v|v))&~((b>v)))|(v&b)) | ~((((b&b)&v)|((v>(b>(v>v)))&v))) | 0 | 1 | 1 | 0 | not entailment |
~((v|((v>b)>v))) | ((v|v)|((b>(b&b))>~((b>v)))) | 0 | 0 | 1 | 0 | not entailment |
(v|((b|(b&v))&v)) | ((b&b)>((v|b)&v)) | 1 | 1 | 1 | 0 | entailment |
~(((~((b&~((b&v))))&b)|v)) | ~(v) | 1 | 1 | 1 | 1 | entailment |
(v|((b|(b&v))&v)) | ~(v) | 0 | 1 | 1 | 0 | not entailment |
~(((~((b&~((b&v))))&b)|v)) | ((b&b)>((v|b)&v)) | 0 | 1 | 1 | 0 | not entailment |
(a&p) | (((p>h)&~(~((~(p)>(t|h)))))>a) | 1 | 0 | 0 | 0 | entailment |
(c|s) | (((t|c)|h)|s) | 1 | 0 | 0 | 0 | entailment |
(a&p) | (((t|c)|h)|s) | 0 | 0 | 0 | 0 | not entailment |
(c|s) | (((p>h)&~(~((~(p)>(t|h)))))>a) | 0 | 0 | 0 | 0 | not entailment |
~(((c>i)>(t>i))) | ~((((~((w|~(i)))&c)&~(s))&a)) | 1 | 0 | 0 | 0 | entailment |
((i>~(p))>(h|~((i>t)))) | (i|((((h&c)|s)>h)|w)) | 1 | 1 | 0 | 0 | entailment |
~(((c>i)>(t>i))) | (i|((((h&c)|s)>h)|w)) | 0 | 0 | 0 | 0 | not entailment |
((i>~(p))>(h|~((i>t)))) | ~((((~((w|~(i)))&c)&~(s))&a)) | 0 | 0 | 0 | 0 | not entailment |
((~(s)|(i|i))&(~(((w>p)|i))&(a&m))) | (~(w)>h) | 1 | 1 | 0 | 0 | entailment |
(i&(c&s)) | (~(~(i))|t) | 1 | 0 | 0 | 0 | entailment |
((~(s)|(i|i))&(~(((w>p)|i))&(a&m))) | (~(~(i))|t) | 0 | 1 | 0 | 0 | not entailment |
(i&(c&s)) | (~(w)>h) | 0 | 1 | 0 | 0 | not entailment |
((t|((a>a)&~(c)))&((h|h)&((c&~(s))|i))) | ((c&h)|(c|h)) | 1 | 1 | 1 | 1 | entailment |
~((~(~((w>~(a))))|~(~(h)))) | (i>(((t|w)|~(((~(t)|~(c))|(s>p))))|c)) | 1 | 0 | 0 | 0 | entailment |
((t|((a>a)&~(c)))&((h|h)&((c&~(s))|i))) | (i>(((t|w)|~(((~(t)|~(c))|(s>p))))|c)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((w>~(a))))|~(~(h)))) | ((c&h)|(c|h)) | 0 | 1 | 0 | 0 | not entailment |
~((((t&t)&p)|(((p>t)>(a&((m|t)|i)))>a))) | (((((h&a)>c)&(a|a))&(m>w))>(h&w)) | 1 | 1 | 0 | 0 | entailment |
(~((w>(p&(a>m))))&~(((i|c)>(m|c)))) | ~(((~(a)&m)&p)) | 1 | 1 | 1 | 1 | entailment |
~((((t&t)&p)|(((p>t)>(a&((m|t)|i)))>a))) | ~(((~(a)&m)&p)) | 0 | 1 | 1 | 0 | not entailment |
(~((w>(p&(a>m))))&~(((i|c)>(m|c)))) | (((((h&a)>c)&(a|a))&(m>w))>(h&w)) | 0 | 1 | 0 | 0 | not entailment |
~((((i|~(w))&i)|(~(h)|~((w&c))))) | ((~(c)>((w|p)&c))>(w|(m>w))) | 1 | 1 | 0 | 0 | entailment |
((m&(s>c))&((~(p)>p)&p)) | (~(m)>t) | 1 | 1 | 0 | 0 | entailment |
~((((i|~(w))&i)|(~(h)|~((w&c))))) | (~(m)>t) | 0 | 1 | 0 | 0 | not entailment |
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