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 |
|---|---|---|---|---|---|---|
~((~(c)|(c>t))) | ~(~((~((q|h))|~((x&~(((q|y)&h))))))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(~((j>j)))|c)&(~((f&y))|q))) | ~((~(c)&(f|c))) | 0 | 1 | 1 | 0 | not entailment |
((j&(t&t))|(x&(c&t))) | (x|((j>t)|(f|(t&f)))) | 1 | 1 | 0 | 0 | entailment |
~(~(j)) | (~((j&j))>~((n|(((n>h)>y)&(f>t))))) | 1 | 0 | 0 | 0 | entailment |
((j&(t&t))|(x&(c&t))) | (~((j&j))>~((n|(((n>h)>y)&(f>t))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(j)) | (x|((j>t)|(f|(t&f)))) | 0 | 0 | 0 | 0 | not entailment |
(~(y)&~(~((t&((h&j)&(f|x)))))) | ((~((~(h)|h))&(f&h))|(t|x)) | 1 | 1 | 1 | 0 | entailment |
~(~((~(((f&q)>~(y)))&((h&j)|(c&q))))) | (~((f|t))|y) | 1 | 1 | 0 | 0 | entailment |
(~(y)&~(~((t&((h&j)&(f|x)))))) | (~((f|t))|y) | 0 | 1 | 1 | 0 | not entailment |
~(~((~(((f&q)>~(y)))&((h&j)|(c&q))))) | ((~((~(h)|h))&(f&h))|(t|x)) | 0 | 1 | 0 | 0 | not entailment |
~((t>(f|(x|y)))) | ~(((h|n)&((y>(j&q))&(x&y)))) | 1 | 0 | 0 | 0 | entailment |
((((x&x)|((j&(t&t))>x))&n)&((q|q)>(n|t))) | (n|(j&(c|(~(y)>~(q))))) | 1 | 1 | 0 | 0 | entailment |
~((t>(f|(x|y)))) | (n|(j&(c|(~(y)>~(q))))) | 0 | 0 | 0 | 0 | not entailment |
((((x&x)|((j&(t&t))>x))&n)&((q|q)>(n|t))) | ~(((h|n)&((y>(j&q))&(x&y)))) | 0 | 1 | 0 | 0 | not entailment |
~(~(((n|(h>~(q)))&~(~(c))))) | (x|((y&(((n|j)|q)|(f&t)))|(t|(c|c)))) | 1 | 0 | 0 | 0 | entailment |
~((~(~((h|(f>c))))|(((x|y)|q)|x))) | ((c&~(((t&(~(h)|(x>x)))&h)))>(j|q)) | 1 | 1 | 0 | 0 | entailment |
~(~(((n|(h>~(q)))&~(~(c))))) | ((c&~(((t&(~(h)|(x>x)))&h)))>(j|q)) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((h|(f>c))))|(((x|y)|q)|x))) | (x|((y&(((n|j)|q)|(f&t)))|(t|(c|c)))) | 0 | 1 | 0 | 0 | not entailment |
((c&h)&q) | ((h|(n>t))|(h&f)) | 1 | 0 | 0 | 0 | entailment |
~((t|q)) | (~((t&x))&~(t)) | 1 | 0 | 0 | 0 | entailment |
((c&h)&q) | (~((t&x))&~(t)) | 0 | 0 | 0 | 0 | not entailment |
~((t|q)) | ((h|(n>t))|(h&f)) | 0 | 0 | 0 | 0 | not entailment |
~(q) | ((n&~(c))>(q>y)) | 1 | 0 | 0 | 0 | entailment |
~((~((n&j))|~((f|q)))) | (((((c>(x>(x|c)))>y)|j)|t)|((f>y)&~(x))) | 1 | 0 | 0 | 0 | entailment |
~(q) | (((((c>(x>(x|c)))>y)|j)|t)|((f>y)&~(x))) | 0 | 0 | 0 | 0 | not entailment |
~((~((n&j))|~((f|q)))) | ((n&~(c))>(q>y)) | 0 | 1 | 0 | 0 | not entailment |
~(((n>t)>~((~(h)&c)))) | ((t|~(y))>(c|(n>(q|x)))) | 1 | 1 | 0 | 0 | entailment |
((~(y)&t)&(t&(f&(f&(t|f))))) | (~(~(~(~(t))))|(h|t)) | 1 | 1 | 0 | 0 | entailment |
~(((n>t)>~((~(h)&c)))) | (~(~(~(~(t))))|(h|t)) | 0 | 1 | 1 | 0 | not entailment |
((~(y)&t)&(t&(f&(f&(t|f))))) | ((t|~(y))>(c|(n>(q|x)))) | 0 | 1 | 0 | 0 | not entailment |
~((~(((y|x)>y))|(x|(j>c)))) | (((~(~((h>c)))&(c|q))>h)>(~((y|j))|j)) | 1 | 0 | 0 | 0 | entailment |
((x|f)&((y&h)&(x>c))) | (~(j)|((y|x)|f)) | 1 | 1 | 0 | 0 | entailment |
~((~(((y|x)>y))|(x|(j>c)))) | (~(j)|((y|x)|f)) | 0 | 1 | 0 | 0 | not entailment |
((x|f)&((y&h)&(x>c))) | (((~(~((h>c)))&(c|q))>h)>(~((y|j))|j)) | 0 | 0 | 0 | 0 | not entailment |
~(f) | (a|~((k&f))) | 1 | 0 | 0 | 0 | entailment |
((((e&k)|e)&(f|k))&(~(((k|k)&e))|v)) | (k>(k&(k&(f|v)))) | 1 | 1 | 1 | 1 | entailment |
~(f) | (k>(k&(k&(f|v)))) | 0 | 0 | 0 | 0 | not entailment |
((((e&k)|e)&(f|k))&(~(((k|k)&e))|v)) | (a|~((k&f))) | 0 | 1 | 0 | 0 | not entailment |
(v&(a&a)) | (a&(f|v)) | 1 | 1 | 0 | 0 | entailment |
~((~(p)>v)) | ~(((~(~((e|f)))&p)&(k&f))) | 1 | 0 | 0 | 0 | entailment |
(v&(a&a)) | ~(((~(~((e|f)))&p)&(k&f))) | 0 | 0 | 0 | 0 | not entailment |
~((~(p)>v)) | (a&(f|v)) | 0 | 1 | 0 | 0 | not entailment |
~(((v|f)>f)) | (v&(a>a)) | 1 | 1 | 0 | 0 | entailment |
(f&(e>k)) | ((p|(e>k))|~(~(p))) | 1 | 0 | 0 | 0 | entailment |
~(((v|f)>f)) | ((p|(e>k))|~(~(p))) | 0 | 0 | 0 | 0 | not entailment |
(f&(e>k)) | (v&(a>a)) | 0 | 1 | 0 | 0 | not entailment |
~(((v&(f|p))|(v>k))) | ((~(p)>v)|(e&~(k))) | 1 | 1 | 0 | 0 | entailment |
(f&k) | (((e|p)>k)|(a&(((p>f)>(f|(v|e)))>f))) | 1 | 0 | 0 | 0 | entailment |
~(((v&(f|p))|(v>k))) | (((e|p)>k)|(a&(((p>f)>(f|(v|e)))>f))) | 0 | 0 | 0 | 0 | not entailment |
(f&k) | ((~(p)>v)|(e&~(k))) | 0 | 0 | 0 | 0 | not entailment |
((v>(v&(v|e)))&(~((v>f))&~((~(e)|p)))) | (f|((p>((e>f)&(f>f)))>~((a&p)))) | 1 | 1 | 0 | 0 | entailment |
(p&((v|f)&(v|v))) | ((k|(p>k))>k) | 1 | 1 | 0 | 0 | entailment |
((v>(v&(v|e)))&(~((v>f))&~((~(e)|p)))) | ((k|(p>k))>k) | 0 | 1 | 0 | 0 | not entailment |
(p&((v|f)&(v|v))) | (f|((p>((e>f)&(f>f)))>~((a&p)))) | 0 | 0 | 0 | 0 | not entailment |
~(((k|(f&v))&~(~(e)))) | ((~((p>~(~(k))))|e)>(f>((e>k)|(v>k)))) | 1 | 0 | 0 | 0 | entailment |
(e&(((a>a)>~((k|~(f))))&p)) | ~(~(f)) | 1 | 1 | 1 | 1 | entailment |
~(((k|(f&v))&~(~(e)))) | ~(~(f)) | 0 | 1 | 1 | 0 | not entailment |
(e&(((a>a)>~((k|~(f))))&p)) | ((~((p>~(~(k))))|e)>(f>((e>k)|(v>k)))) | 0 | 0 | 0 | 0 | not entailment |
(e&(k&(a|~(e)))) | ~(~(~(~((~((~(f)|(v>e)))|a))))) | 1 | 0 | 0 | 0 | entailment |
(p&(f&((k>~(f))>(e>k)))) | ((~((v&p))>f)>(a>f)) | 1 | 1 | 0 | 0 | entailment |
(e&(k&(a|~(e)))) | ((~((v&p))>f)>(a>f)) | 0 | 0 | 0 | 0 | not entailment |
(p&(f&((k>~(f))>(e>k)))) | ~(~(~(~((~((~(f)|(v>e)))|a))))) | 0 | 0 | 0 | 0 | not entailment |
~((((k|((e>a)>p))>k)|((a|(e>f))|v))) | ~((~(e)&v)) | 1 | 1 | 1 | 1 | entailment |
(~((k>((f>a)&v)))&((f>((k|v)|p))|(a|k))) | (((p|p)>(((p&p)>f)>f))>(~(v)>k)) | 1 | 1 | 1 | 0 | entailment |
~((((k|((e>a)>p))>k)|((a|(e>f))|v))) | (((p|p)>(((p&p)>f)>f))>(~(v)>k)) | 0 | 1 | 1 | 0 | not entailment |
(~((k>((f>a)&v)))&((f>((k|v)|p))|(a|k))) | ~((~(e)&v)) | 0 | 1 | 0 | 0 | not entailment |
~((e|v)) | (k|~(e)) | 1 | 1 | 0 | 0 | entailment |
(v&(a&((e|(v>k))>((a|p)|(e|a))))) | ((v|p)|~(((f&f)&(k>~(p))))) | 1 | 1 | 0 | 0 | entailment |
~((e|v)) | ((v|p)|~(((f&f)&(k>~(p))))) | 0 | 0 | 0 | 0 | not entailment |
(v&(a&((e|(v>k))>((a|p)|(e|a))))) | (k|~(e)) | 0 | 1 | 1 | 0 | not entailment |
~(~(((f>f)>((((e&p)&(p&v))&v)&~(k))))) | ((e&e)>(k>p)) | 1 | 1 | 1 | 0 | entailment |
((((~(a)&v)|v)&e)&~(((p>a)&f))) | ~(((a&p)&f)) | 1 | 1 | 1 | 0 | entailment |
~(~(((f>f)>((((e&p)&(p&v))&v)&~(k))))) | ~(((a&p)&f)) | 0 | 1 | 0 | 0 | not entailment |
((((~(a)&v)|v)&e)&~(((p>a)&f))) | ((e&e)>(k>p)) | 0 | 1 | 0 | 0 | not entailment |
(((a|p)|p)&k) | ((p>(p&e))|k) | 1 | 1 | 0 | 0 | entailment |
((~((~((f|v))|p))|(v>f))&v) | (~(((~((e|v))&((k>e)&a))&(p|p)))&(v|p)) | 1 | 0 | 0 | 0 | entailment |
(((a|p)|p)&k) | (~(((~((e|v))&((k>e)&a))&(p|p)))&(v|p)) | 0 | 0 | 0 | 0 | not entailment |
((~((~((f|v))|p))|(v>f))&v) | ((p>(p&e))|k) | 0 | 1 | 0 | 0 | not entailment |
(a&p) | ((~((e&f))|((v|(k>(v|a)))&f))|(p&(v>p))) | 1 | 0 | 0 | 0 | entailment |
~((k>((v&~((((a&e)&v)|(f>a))))|(a&a)))) | ~((a&~(k))) | 1 | 1 | 1 | 1 | entailment |
(a&p) | ~((a&~(k))) | 0 | 0 | 0 | 0 | not entailment |
~((k>((v&~((((a&e)&v)|(f>a))))|(a&a)))) | ((~((e&f))|((v|(k>(v|a)))&f))|(p&(v>p))) | 0 | 1 | 0 | 0 | not entailment |
(~((a&a))&k) | (~(a)>k) | 1 | 1 | 1 | 0 | entailment |
(~((k|k))&(~(k)|p)) | (~(k)|(~((f>((~(v)&((p|f)>e))&p)))|a)) | 1 | 0 | 0 | 0 | entailment |
(~((a&a))&k) | (~(k)|(~((f>((~(v)&((p|f)>e))&p)))|a)) | 0 | 0 | 0 | 0 | not entailment |
(~((k|k))&(~(k)|p)) | (~(a)>k) | 0 | 1 | 0 | 0 | not entailment |
((~((v&e))&a)|(a&(e|(p>k)))) | ~((~(((a&a)|(e>~(p))))&v)) | 1 | 1 | 1 | 1 | entailment |
~(((p&(k&v))|f)) | ((p&f)>((e&a)>v)) | 1 | 1 | 0 | 0 | entailment |
((~((v&e))&a)|(a&(e|(p>k)))) | ((p&f)>((e&a)>v)) | 0 | 1 | 0 | 0 | not entailment |
~(((p&(k&v))|f)) | ~((~(((a&a)|(e>~(p))))&v)) | 0 | 0 | 0 | 0 | not entailment |
~((~(p)|(~(e)&(~(v)|e)))) | ((k&~(((~(v)>p)>((k>k)&v))))>(f>e)) | 1 | 0 | 0 | 0 | entailment |
~(~((((f>e)|e)>(e>~(a))))) | ((a&e)>~((k&((((a|p)>p)&(a>k))|(e&a))))) | 1 | 0 | 0 | 0 | entailment |
~((~(p)|(~(e)&(~(v)|e)))) | ((a&e)>~((k&((((a|p)>p)&(a>k))|(e&a))))) | 0 | 0 | 0 | 0 | not entailment |
~(~((((f>e)|e)>(e>~(a))))) | ((k&~(((~(v)>p)>((k>k)&v))))>(f>e)) | 0 | 0 | 0 | 0 | not entailment |
~(~(p)) | (a|p) | 1 | 1 | 0 | 0 | entailment |
((a>~(p))&v) | ~(~(v)) | 1 | 1 | 1 | 1 | entailment |
~(~(p)) | ~(~(v)) | 0 | 1 | 0 | 0 | not entailment |
((a>~(p))&v) | (a|p) | 0 | 1 | 1 | 0 | not entailment |
((c|((c&c)&c))|~(((c>c)|((c>c)&~(c))))) | (c|~((~(c)&((c>c)|c)))) | 1 | 1 | 1 | 1 | entailment |
~(((c&c)&(c&~(~((c|c)))))) | ~(c) | 1 | 1 | 1 | 1 | entailment |
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