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 |
|---|---|---|---|---|---|---|
(p&(t&x)) | ~(((c|b)&p)) | 0 | 0 | 0 | 0 | not entailment |
(~(p)&(b&(b|a))) | ~(~((~((b|(z>(p>p))))|(p|x)))) | 0 | 0 | 0 | 0 | not entailment |
(z&(((x&p)|((h&h)|~(~((z|(h>b))))))>t)) | (t|(s|~((h|h)))) | 1 | 1 | 0 | 0 | entailment |
~(c) | ~((~(~(x))&(x&(s&c)))) | 1 | 0 | 0 | 0 | entailment |
(z&(((x&p)|((h&h)|~(~((z|(h>b))))))>t)) | ~((~(~(x))&(x&(s&c)))) | 0 | 1 | 0 | 0 | not entailment |
~(c) | (t|(s|~((h|h)))) | 0 | 0 | 0 | 0 | not entailment |
(((a&z)>b)&((h&a)&(~((p|x))&~(b)))) | (h|s) | 1 | 1 | 0 | 0 | entailment |
~((~(t)|(p&c))) | (~(t)>(a&((t|((a|z)&s))>(z&(s&h))))) | 1 | 0 | 0 | 0 | entailment |
(((a&z)>b)&((h&a)&(~((p|x))&~(b)))) | (~(t)>(a&((t|((a|z)&s))>(z&(s&h))))) | 0 | 1 | 0 | 0 | not entailment |
~((~(t)|(p&c))) | (h|s) | 0 | 1 | 0 | 0 | not entailment |
((~(~(x))|a)&h) | (~(((h>z)>(p|h)))|((h&x)|a)) | 1 | 0 | 0 | 0 | entailment |
~((((h&(z|b))&t)>((z|p)&~(~((h&p)))))) | ((p>b)|(((c|z)>(x&s))&p)) | 1 | 1 | 0 | 0 | entailment |
((~(~(x))|a)&h) | ((p>b)|(((c|z)>(x&s))&p)) | 0 | 0 | 0 | 0 | not entailment |
~((((h&(z|b))&t)>((z|p)&~(~((h&p)))))) | (~(((h>z)>(p|h)))|((h&x)|a)) | 0 | 1 | 0 | 0 | not entailment |
~(~((a&c))) | ((~((t>x))>((t>b)>c))|~((s>(s&~(a))))) | 1 | 0 | 0 | 0 | entailment |
~((b>((x|(s|s))>x))) | (~(((~(b)>t)|((c&p)&h)))>((b|z)|z)) | 1 | 0 | 0 | 0 | entailment |
~(~((a&c))) | (~(((~(b)>t)|((c&p)&h)))>((b|z)|z)) | 0 | 0 | 0 | 0 | not entailment |
~((b>((x|(s|s))>x))) | ((~((t>x))>((t>b)>c))|~((s>(s&~(a))))) | 0 | 0 | 0 | 0 | not entailment |
(((c|x)&a)&(x|s)) | ((a|h)|(c|(a|c))) | 1 | 1 | 0 | 0 | entailment |
(~((x>b))&(~(h)&t)) | (x|p) | 1 | 1 | 0 | 0 | entailment |
(((c|x)&a)&(x|s)) | (x|p) | 0 | 1 | 0 | 0 | not entailment |
(~((x>b))&(~(h)&t)) | ((a|h)|(c|(a|c))) | 0 | 1 | 0 | 0 | not entailment |
~((a>(t>z))) | (z>((a&~(p))|((b>z)>((c|h)|(p>t))))) | 1 | 0 | 0 | 0 | entailment |
(b&a) | (((s|x)>x)>(b&b)) | 1 | 0 | 0 | 0 | entailment |
~((a>(t>z))) | (((s|x)>x)>(b&b)) | 0 | 0 | 0 | 0 | not entailment |
(b&a) | (z>((a&~(p))|((b>z)>((c|h)|(p>t))))) | 0 | 0 | 0 | 0 | not entailment |
((((~((p>(p|c)))|(x&b))&(x&s))&t)&h) | ((~((s>c))>t)>((z&(t&(c&a)))>b)) | 1 | 1 | 0 | 0 | entailment |
(((t|(t>~(s)))>~((~(h)&p)))&(t&c)) | (((c&(c&t))|(x|(b>c)))&c) | 1 | 1 | 0 | 0 | entailment |
((((~((p>(p|c)))|(x&b))&(x&s))&t)&h) | (((c&(c&t))|(x|(b>c)))&c) | 0 | 1 | 1 | 0 | not entailment |
(((t|(t>~(s)))>~((~(h)&p)))&(t&c)) | ((~((s>c))>t)>((z&(t&(c&a)))>b)) | 0 | 1 | 0 | 0 | not entailment |
((~(~(z))>z)>~((t|p))) | (~(s)>(t>c)) | 1 | 1 | 0 | 0 | entailment |
(p&t) | ((t&p)|s) | 1 | 0 | 0 | 0 | entailment |
((~(~(z))>z)>~((t|p))) | ((t&p)|s) | 0 | 1 | 0 | 0 | not entailment |
(p&t) | (~(s)>(t>c)) | 0 | 0 | 0 | 0 | not entailment |
(b&x) | ((p&~(x))>(t|(a&h))) | 1 | 0 | 0 | 0 | entailment |
((c|a)>p) | (((t|~(((p&a)&a)))>t)|(((a|t)>p)|(z>c))) | 1 | 0 | 0 | 0 | entailment |
(b&x) | (((t|~(((p&a)&a)))>t)|(((a|t)>p)|(z>c))) | 0 | 0 | 0 | 0 | not entailment |
((c|a)>p) | ((p&~(x))>(t|(a&h))) | 0 | 0 | 0 | 0 | not entailment |
~(((h>p)|(s&c))) | ~(((p|c)&(((s>a)|t)>((p>b)&(h&s))))) | 1 | 0 | 0 | 0 | entailment |
~((b>(h>~(a)))) | (t>((a|p)|~(x))) | 1 | 1 | 0 | 0 | entailment |
~(((h>p)|(s&c))) | (t>((a|p)|~(x))) | 0 | 1 | 0 | 0 | not entailment |
~((b>(h>~(a)))) | ~(((p|c)&(((s>a)|t)>((p>b)&(h&s))))) | 0 | 0 | 0 | 0 | not entailment |
(~((a&t))|(~(a)&~(((a|b)&h)))) | (a>((z>(p&p))>((t>z)|c))) | 1 | 1 | 0 | 0 | entailment |
~((p|x)) | ((t|(a&((z&p)>h)))|(~(a)|(t&(b|s)))) | 1 | 0 | 0 | 0 | entailment |
(~((a&t))|(~(a)&~(((a|b)&h)))) | ((t|(a&((z&p)>h)))|(~(a)|(t&(b|s)))) | 0 | 0 | 0 | 0 | not entailment |
~((p|x)) | (a>((z>(p&p))>((t>z)|c))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((c&(h|~((c&s))))))&t) | ((~((h|x))&~(~(~(s))))>(z>t)) | 1 | 0 | 0 | 0 | entailment |
~(((a|(a&(z|b)))>h)) | ~((h&((h>~((b&z)))>z))) | 1 | 0 | 1 | 0 | entailment |
(~(~((c&(h|~((c&s))))))&t) | ~((h&((h>~((b&z)))>z))) | 0 | 1 | 0 | 0 | not entailment |
~(((a|(a&(z|b)))>h)) | ((~((h|x))&~(~(~(s))))>(z>t)) | 0 | 0 | 0 | 0 | not entailment |
((t&p)&~(~((c&s)))) | ((~(s)>((c|b)>z))&(c|(p>p))) | 1 | 0 | 0 | 0 | entailment |
((~(b)&x)&t) | ((x&a)|x) | 1 | 1 | 0 | 0 | entailment |
((t&p)&~(~((c&s)))) | ((x&a)|x) | 0 | 1 | 0 | 0 | not entailment |
((~(b)&x)&t) | ((~(s)>((c|b)>z))&(c|(p>p))) | 0 | 0 | 0 | 0 | not entailment |
(~(t)&((x>~(h))&x)) | (s|((b>x)|~(((~(~(p))|s)|z)))) | 1 | 0 | 0 | 0 | entailment |
(h&t) | ((b|h)|(((~(x)>~((p>z)))|c)&((b&h)|p))) | 1 | 0 | 0 | 0 | entailment |
(~(t)&((x>~(h))&x)) | ((b|h)|(((~(x)>~((p>z)))|c)&((b&h)|p))) | 0 | 0 | 0 | 0 | not entailment |
(h&t) | (s|((b>x)|~(((~(~(p))|s)|z)))) | 0 | 0 | 0 | 0 | not entailment |
~(((h>(t|s))&t)) | (h|~(t)) | 1 | 1 | 1 | 1 | entailment |
(s&a) | (~((c|h))|s) | 1 | 0 | 0 | 0 | entailment |
~(((h>(t|s))&t)) | (~((c|h))|s) | 0 | 1 | 0 | 0 | not entailment |
(s&a) | (h|~(t)) | 0 | 0 | 0 | 0 | not entailment |
(t>(h&(z&s))) | (~((c&~(~(t))))|h) | 1 | 0 | 0 | 0 | entailment |
~((a|(~(~((a>c)))&x))) | ((h&c)>~((~((b|p))&x))) | 1 | 1 | 0 | 0 | entailment |
(t>(h&(z&s))) | ((h&c)>~((~((b|p))&x))) | 0 | 0 | 0 | 0 | not entailment |
~((a|(~(~((a>c)))&x))) | (~((c&~(~(t))))|h) | 0 | 1 | 0 | 0 | not entailment |
(q&e) | (e|(((q&x)&t)&(v|q))) | 1 | 0 | 0 | 0 | entailment |
(q&t) | (~((b>v))|((x&t)|(v>t))) | 1 | 0 | 0 | 0 | entailment |
(q&e) | (~((b>v))|((x&t)|(v>t))) | 0 | 0 | 0 | 0 | not entailment |
(q&t) | (e|(((q&x)&t)&(v|q))) | 0 | 0 | 0 | 0 | not entailment |
((((e&q)&b)|(b|e))&e) | ~(~(((~(x)|e)|(((b|v)>(v|x))>~(b))))) | 1 | 0 | 0 | 0 | entailment |
(t&(b|q)) | (t|q) | 1 | 1 | 1 | 1 | entailment |
((((e&q)&b)|(b|e))&e) | (t|q) | 0 | 1 | 0 | 0 | not entailment |
(t&(b|q)) | ~(~(((~(x)|e)|(((b|v)>(v|x))>~(b))))) | 0 | 0 | 0 | 0 | not entailment |
~(((e>t)|((v|q)|(t&t)))) | ((t>v)>e) | 1 | 1 | 1 | 0 | entailment |
~(((((e&q)|v)>(t|e))|x)) | (e>(~(((b&v)|t))>x)) | 1 | 1 | 0 | 0 | entailment |
~(((e>t)|((v|q)|(t&t)))) | (e>(~(((b&v)|t))>x)) | 0 | 1 | 0 | 0 | not entailment |
~(((((e&q)|v)>(t|e))|x)) | ((t>v)>e) | 0 | 1 | 1 | 0 | not entailment |
(((~(x)>v)>(e|(e&v)))&q) | ((q>e)>(b>e)) | 1 | 1 | 0 | 0 | entailment |
~(((t>(t>((v|e)&b)))|((x&x)&(x>v)))) | (((x|t)|t)|b) | 1 | 1 | 1 | 0 | entailment |
(((~(x)>v)>(e|(e&v)))&q) | (((x|t)|t)|b) | 0 | 1 | 0 | 0 | not entailment |
~(((t>(t>((v|e)&b)))|((x&x)&(x>v)))) | ((q>e)>(b>e)) | 0 | 1 | 0 | 0 | not entailment |
((e|e)|(e&v)) | (x>e) | 1 | 1 | 0 | 0 | entailment |
~((t|q)) | (t>((x|b)|x)) | 1 | 0 | 0 | 0 | entailment |
((e|e)|(e&v)) | (t>((x|b)|x)) | 0 | 1 | 0 | 0 | not entailment |
~((t|q)) | (x>e) | 0 | 1 | 0 | 0 | not entailment |
~((~(x)>(((q&b)|e)|b))) | ~((~((t&(e&v)))&x)) | 1 | 1 | 0 | 0 | entailment |
((t&q)&((x&t)&((x>e)|(((v|e)>x)|v)))) | (~(~(~(((~((e|t))>(q>b))>v))))>q) | 1 | 1 | 0 | 0 | entailment |
~((~(x)>(((q&b)|e)|b))) | (~(~(~(((~((e|t))>(q>b))>v))))>q) | 0 | 0 | 0 | 0 | not entailment |
((t&q)&((x&t)&((x>e)|(((v|e)>x)|v)))) | ~((~((t&(e&v)))&x)) | 0 | 1 | 1 | 1 | not entailment |
(q&(~(~(t))&x)) | (((t|e)>(e&q))|((v&q)|~((e|~(t))))) | 1 | 0 | 0 | 0 | entailment |
~(((v|e)>(v>(b|(t&(q&q)))))) | (q>v) | 1 | 1 | 1 | 1 | entailment |
(q&(~(~(t))&x)) | (q>v) | 0 | 1 | 0 | 0 | not entailment |
~(((v|e)>(v>(b|(t&(q&q)))))) | (((t|e)>(e&q))|((v&q)|~((e|~(t))))) | 0 | 0 | 1 | 0 | not entailment |
(((v&(b&b))&t)&(e&((t|t)&v))) | ((q|e)|(t&v)) | 1 | 1 | 0 | 0 | entailment |
~((x|~(((b>~(x))|((~((e&t))|q)&t))))) | ~(x) | 1 | 1 | 1 | 1 | entailment |
(((v&(b&b))&t)&(e&((t|t)&v))) | ~(x) | 0 | 1 | 0 | 0 | not entailment |
~((x|~(((b>~(x))|((~((e&t))|q)&t))))) | ((q|e)|(t&v)) | 0 | 1 | 0 | 0 | not entailment |
(~((~((t>b))|~(t)))&~((~(x)&~(q)))) | (~(~(((b>v)|t)))|(((e>v)|~(t))&e)) | 1 | 1 | 0 | 0 | entailment |
~((~((b&(~(t)&((t|t)&t))))>~(q))) | (e>q) | 1 | 1 | 0 | 0 | entailment |
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