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 |
|---|---|---|---|---|---|---|
(~((v&((((o&k)|k)|(k|x))|k)))&(v&p)) | ((x|q)>(~((~(o)|x))>(k|(k|x)))) | 0 | 1 | 0 | 0 | not entailment |
((k&o)&(k>(~(~((p&(x|p))))|((k|o)>o)))) | ~(((k|((p&x)&~((k&v))))|k)) | 0 | 1 | 0 | 0 | not entailment |
(~(~((o>(~(k)>v))))&p) | ((p|(o>(v&o)))|(~(x)&(q|x))) | 1 | 0 | 0 | 0 | entailment |
((k|~(o))>~((k&k))) | ((k>(o>q))|x) | 1 | 1 | 0 | 0 | entailment |
(~(~((o>(~(k)>v))))&p) | ((k>(o>q))|x) | 0 | 1 | 0 | 0 | not entailment |
((k|~(o))>~((k&k))) | ((p|(o>(v&o)))|(~(x)&(q|x))) | 0 | 0 | 0 | 0 | not entailment |
((((v>t)>t)|t)&t) | (((n&u)|(u&v))|t) | 1 | 1 | 0 | 0 | entailment |
((((t>n)|t)>v)&v) | (v&v) | 1 | 1 | 1 | 1 | entailment |
((((v>t)>t)|t)&t) | (v&v) | 0 | 1 | 1 | 1 | not entailment |
((((t>n)|t)>v)&v) | (((n&u)|(u&v))|t) | 0 | 1 | 0 | 0 | not entailment |
~(~(u)) | (t>(v|u)) | 1 | 1 | 0 | 0 | entailment |
(((u>(((v&t)&v)|n))|v)&n) | ((t|(v&u))|((n&n)&(n|n))) | 1 | 1 | 1 | 0 | entailment |
~(~(u)) | ((t|(v&u))|((n&n)&(n|n))) | 0 | 0 | 0 | 0 | not entailment |
(((u>(((v&t)&v)|n))|v)&n) | (t>(v|u)) | 0 | 1 | 1 | 0 | not entailment |
(v&v) | (((~(t)&u)|(v|(t>t)))&(((t|v)&n)>v)) | 1 | 0 | 0 | 0 | entailment |
~((u>((v&t)|(t>v)))) | ((n|(((u&n)>n)|v))&((t|t)|u)) | 1 | 0 | 0 | 0 | entailment |
(v&v) | ((n|(((u&n)>n)|v))&((t|t)|u)) | 0 | 0 | 0 | 0 | not entailment |
~((u>((v&t)|(t>v)))) | (((~(t)&u)|(v|(t>t)))&(((t|v)&n)>v)) | 0 | 0 | 0 | 0 | not entailment |
((u&(v>v))&(t|t)) | ((t|u)|u) | 1 | 1 | 1 | 1 | entailment |
(((~((v|v))|n)&(n|(v|(t>u))))&((u|n)&n)) | (u>n) | 1 | 1 | 1 | 0 | entailment |
((u&(v>v))&(t|t)) | (u>n) | 0 | 1 | 0 | 0 | not entailment |
(((~((v|v))|n)&(n|(v|(t>u))))&((u|n)&n)) | ((t|u)|u) | 0 | 1 | 1 | 0 | not entailment |
(~(t)>((v&v)|(~(u)&t))) | ((v&v)|t) | 1 | 1 | 1 | 1 | entailment |
(n&n) | ((n|(((n&n)|t)|t))&(((u>u)&(t|n))>n)) | 1 | 0 | 0 | 0 | entailment |
(~(t)>((v&v)|(~(u)&t))) | ((n|(((n&n)|t)|t))&(((u>u)&(t|n))>n)) | 0 | 0 | 0 | 0 | not entailment |
(n&n) | ((v&v)|t) | 0 | 0 | 0 | 0 | not entailment |
(((n|n)|n)&((~(n)>(n|t))&((t|t)&t))) | (~(((n>~(t))&((u>v)&t)))|(v&n)) | 1 | 1 | 0 | 0 | entailment |
~((u|((n&t)|v))) | ~(u) | 1 | 1 | 1 | 1 | entailment |
(((n|n)|n)&((~(n)>(n|t))&((t|t)&t))) | ~(u) | 0 | 1 | 0 | 0 | not entailment |
~((u|((n&t)|v))) | (~(((n>~(t))&((u>v)&t)))|(v&n)) | 0 | 0 | 1 | 0 | not entailment |
~((~((n>t))>((u&(t&u))&(u|(u|u))))) | ~(~((((n|(t&~((n|v))))|(v|u))>n))) | 1 | 1 | 0 | 0 | entailment |
~((((u>v)>u)&(t>v))) | ((n&~(n))|(u>(u&t))) | 1 | 1 | 0 | 0 | entailment |
~((~((n>t))>((u&(t&u))&(u|(u|u))))) | ((n&~(n))|(u>(u&t))) | 0 | 1 | 1 | 0 | not entailment |
~((((u>v)>u)&(t>v))) | ~(~((((n|(t&~((n|v))))|(v|u))>n))) | 0 | 0 | 0 | 0 | not entailment |
((u&~(u))|~(v)) | ((n>((u&v)>t))|(t&n)) | 1 | 0 | 0 | 0 | entailment |
((v&((t|v)|(v|(t&n))))|v) | ((u&(v>(t&n)))>t) | 1 | 1 | 0 | 0 | entailment |
((u&~(u))|~(v)) | ((u&(v>(t&n)))>t) | 0 | 1 | 0 | 0 | not entailment |
((v&((t|v)|(v|(t&n))))|v) | ((n>((u&v)>t))|(t&n)) | 0 | 1 | 0 | 0 | not entailment |
~(((u|n)|v)) | ((n>n)&~(((u&v)&u))) | 1 | 0 | 1 | 0 | entailment |
~(~(((u|u)&(t&(v>u))))) | (((t&~((n&t)))>(u>u))>((u|t)|v)) | 1 | 0 | 0 | 0 | entailment |
~(((u|n)|v)) | (((t&~((n&t)))>(u>u))>((u|t)|v)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((u|u)&(t&(v>u))))) | ((n>n)&~(((u&v)&u))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(((~(t)&t)|(v>~(t)))))) | ((v&(t|~(v)))|~((v|u))) | 1 | 1 | 0 | 0 | entailment |
~(u) | (~(t)|(u>n)) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((~(t)&t)|(v>~(t)))))) | (~(t)|(u>n)) | 0 | 1 | 0 | 0 | not entailment |
~(u) | ((v&(t|~(v)))|~((v|u))) | 0 | 0 | 0 | 0 | not entailment |
~((~((t&t))&u)) | (n|(~((((~(n)&v)>v)&u))|((t|n)|v))) | 1 | 0 | 0 | 0 | entailment |
~((t|v)) | (v>(~(u)>(n&u))) | 1 | 0 | 0 | 0 | entailment |
~((~((t&t))&u)) | (v>(~(u)>(n&u))) | 0 | 1 | 0 | 0 | not entailment |
~((t|v)) | (n|(~((((~(n)&v)>v)&u))|((t|n)|v))) | 0 | 0 | 0 | 0 | not entailment |
((u|v)&t) | (~((v|(~(v)>~(~((v&((v>t)|t)))))))>u) | 1 | 0 | 1 | 0 | entailment |
~((t&~((t&v)))) | (~(u)|~((u&(u&~(((t>v)&u)))))) | 1 | 0 | 0 | 0 | entailment |
((u|v)&t) | (~(u)|~((u&(u&~(((t>v)&u)))))) | 0 | 0 | 1 | 0 | not entailment |
~((t&~((t&v)))) | (~((v|(~(v)>~(~((v&((v>t)|t)))))))>u) | 0 | 0 | 0 | 0 | not entailment |
(u&v) | (t>v) | 1 | 1 | 0 | 0 | entailment |
~((~(u)>(t&(((v&(v|u))>~((v>t)))&v)))) | ((u|((u&v)&(t|(n|n))))>((u&t)&((n|u)&u))) | 1 | 1 | 0 | 0 | entailment |
(u&v) | ((u|((u&v)&(t|(n|n))))>((u&t)&((n|u)&u))) | 0 | 0 | 0 | 0 | not entailment |
~((~(u)>(t&(((v&(v|u))>~((v>t)))&v)))) | (t>v) | 0 | 1 | 1 | 1 | not entailment |
~((u|(n|(t|n)))) | ((u&u)|~(t)) | 1 | 1 | 1 | 0 | entailment |
((t>n)>t) | (~(~(~(t)))>~(((v>~(t))|u))) | 1 | 0 | 0 | 0 | entailment |
~((u|(n|(t|n)))) | (~(~(~(t)))>~(((v>~(t))|u))) | 0 | 0 | 0 | 0 | not entailment |
((t>n)>t) | ((u&u)|~(t)) | 0 | 0 | 0 | 0 | not entailment |
~((u>(n|(t>(v&u))))) | ((v|t)|~((v>(t|n)))) | 1 | 1 | 1 | 0 | entailment |
~(((n&(n>u))>~((~(n)>u)))) | (n&((n>v)>(~(~((t>t)))>v))) | 1 | 1 | 0 | 0 | entailment |
~((u>(n|(t>(v&u))))) | (n&((n>v)>(~(~((t>t)))>v))) | 0 | 0 | 1 | 0 | not entailment |
~(((n&(n>u))>~((~(n)>u)))) | ((v|t)|~((v>(t|n)))) | 0 | 1 | 0 | 0 | not entailment |
((n>(n|n))&((n|(v&(t&t)))&v)) | ((((u|(n>t))&((v&n)>v))>(u|n))>v) | 1 | 0 | 0 | 0 | entailment |
(t&((n|(t>v))|((v|v)|~(~(~((t&u))))))) | ((u|(((~(u)|t)&t)&((u>n)>(n|t))))&t) | 1 | 1 | 1 | 0 | entailment |
((n>(n|n))&((n|(v&(t&t)))&v)) | ((u|(((~(u)|t)&t)&((u>n)>(n|t))))&t) | 0 | 0 | 0 | 0 | not entailment |
(t&((n|(t>v))|((v|v)|~(~(~((t&u))))))) | ((((u|(n>t))&((v&n)>v))>(u|n))>v) | 0 | 1 | 1 | 0 | not entailment |
~((s|((s|(q&y))|(w>y)))) | (s>((a>e)&(e&~((w&e))))) | 1 | 1 | 0 | 0 | entailment |
~((a|((w|y)>(i|a)))) | ((~(i)|q)&(~(a)&((s>e)|s))) | 1 | 0 | 0 | 0 | entailment |
~((s|((s|(q&y))|(w>y)))) | ((~(i)|q)&(~(a)&((s>e)|s))) | 0 | 0 | 0 | 0 | not entailment |
~((a|((w|y)>(i|a)))) | (s>((a>e)&(e&~((w&e))))) | 0 | 0 | 0 | 0 | not entailment |
(a&(a>e)) | ((e|(((i>(~(i)>i))&(q&y))&q))>(a&a)) | 1 | 0 | 0 | 0 | entailment |
~(q) | ~((q&e)) | 1 | 0 | 0 | 0 | entailment |
(a&(a>e)) | ~((q&e)) | 0 | 1 | 0 | 0 | not entailment |
~(q) | ((e|(((i>(~(i)>i))&(q&y))&q))>(a&a)) | 0 | 0 | 0 | 0 | not entailment |
~((a|((y|w)>q))) | ((q>e)|a) | 1 | 1 | 0 | 0 | entailment |
~(w) | (((~(i)>a)|e)|(~(w)|(~((a|q))>a))) | 1 | 0 | 0 | 0 | entailment |
~((a|((y|w)>q))) | (((~(i)>a)|e)|(~(w)|(~((a|q))>a))) | 0 | 0 | 0 | 0 | not entailment |
~(w) | ((q>e)|a) | 0 | 0 | 0 | 0 | not entailment |
~(~(((y|a)&((~(y)&w)&(a>(y>e)))))) | (s>((y>q)|~(e))) | 1 | 1 | 0 | 0 | entailment |
~((~((a>q))>(~(e)|~(i)))) | ((s>e)&(((y>w)>(a&i))|(w|w))) | 1 | 1 | 0 | 0 | entailment |
~(~(((y|a)&((~(y)&w)&(a>(y>e)))))) | ((s>e)&(((y>w)>(a&i))|(w|w))) | 0 | 1 | 0 | 0 | not entailment |
~((~((a>q))>(~(e)|~(i)))) | (s>((y>q)|~(e))) | 0 | 1 | 0 | 0 | not entailment |
~(~((((a&~(i))|q)&(y|q)))) | (((i&(w&a))|(q&q))|~(i)) | 1 | 1 | 0 | 0 | entailment |
(w>(~((q>a))&s)) | ~(~((((w|s)&i)>(s&s)))) | 1 | 0 | 0 | 0 | entailment |
~(~((((a&~(i))|q)&(y|q)))) | ~(~((((w|s)&i)>(s&s)))) | 0 | 1 | 0 | 0 | not entailment |
(w>(~((q>a))&s)) | (((i&(w&a))|(q&q))|~(i)) | 0 | 0 | 0 | 0 | not entailment |
(w&q) | (((i>w)>e)|(w|~((((i&i)>(s&i))&s)))) | 1 | 0 | 0 | 0 | entailment |
~((((q&e)>q)>(~(a)>i))) | ~((w&i)) | 1 | 1 | 0 | 0 | entailment |
(w&q) | ~((w&i)) | 0 | 0 | 0 | 0 | not entailment |
~((((q&e)>q)>(~(a)>i))) | (((i>w)>e)|(w|~((((i&i)>(s&i))&s)))) | 0 | 0 | 0 | 0 | not entailment |
~((y>~(q))) | ((e&((s>y)>i))|q) | 1 | 0 | 0 | 0 | entailment |
~((~(q)>w)) | (((s&i)|s)|~((~(~(((q|w)&(s>i))))&e))) | 1 | 0 | 0 | 0 | entailment |
~((y>~(q))) | (((s&i)|s)|~((~(~(((q|w)&(s>i))))&e))) | 0 | 0 | 0 | 0 | not entailment |
~((~(q)>w)) | ((e&((s>y)>i))|q) | 0 | 0 | 0 | 0 | not entailment |
(~(i)&((i>(q>q))>(w&q))) | ~((i&~((((q&w)&a)&i)))) | 1 | 1 | 0 | 0 | entailment |
((i&((e|a)>(i>a)))&(~(a)|q)) | (a|~(e)) | 1 | 1 | 1 | 1 | entailment |
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