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 |
|---|---|---|---|---|---|---|
((j&(j&h))&(~(h)|((j>t)|(e|h)))) | ((~((e|e))>(h|~(((j&t)|t))))>~(~(t))) | 0 | 0 | 1 | 0 | not entailment |
((j>(~(t)|e))&((e>~(j))&t)) | ((((j|t)&(h|j))|e)&(h|t)) | 0 | 1 | 0 | 0 | not entailment |
(k&p) | ((z|(((i|a)>s)|(s|((h>p)>i))))>(k|h)) | 1 | 0 | 0 | 0 | entailment |
(z&((~(p)&i)>k)) | ~(~(~((~(z)&s)))) | 1 | 0 | 0 | 0 | entailment |
(k&p) | ~(~(~((~(z)&s)))) | 0 | 0 | 0 | 0 | not entailment |
(z&((~(p)&i)>k)) | ((z|(((i|a)>s)|(s|((h>p)>i))))>(k|h)) | 0 | 0 | 0 | 0 | not entailment |
~(((h&z)>a)) | ((a>(~(s)>~(k)))|(i>~(a))) | 1 | 0 | 0 | 0 | entailment |
~((k>(a&h))) | (((s&(i&k))>(h&h))>k) | 1 | 0 | 0 | 0 | entailment |
~(((h&z)>a)) | (((s&(i&k))>(h&h))>k) | 0 | 0 | 0 | 0 | not entailment |
~((k>(a&h))) | ((a>(~(s)>~(k)))|(i>~(a))) | 0 | 0 | 0 | 0 | not entailment |
((k&h)&(i|a)) | (((i|~((a>k)))>k)>h) | 1 | 0 | 1 | 0 | entailment |
((h>(~(k)&k))&i) | (i|((s&(k|a))&(i>p))) | 1 | 0 | 0 | 0 | entailment |
((k&h)&(i|a)) | (i|((s&(k|a))&(i>p))) | 0 | 0 | 0 | 0 | not entailment |
((h>(~(k)&k))&i) | (((i|~((a>k)))>k)>h) | 0 | 0 | 0 | 0 | not entailment |
~(((z>h)|~(((h|k)|(z>s))))) | (k|z) | 1 | 1 | 1 | 1 | entailment |
~(~((h&(s&p)))) | (p|((k|p)&~((s|k)))) | 1 | 0 | 0 | 0 | entailment |
~(((z>h)|~(((h|k)|(z>s))))) | (p|((k|p)&~((s|k)))) | 0 | 1 | 0 | 0 | not entailment |
~(~((h&(s&p)))) | (k|z) | 0 | 1 | 0 | 0 | not entailment |
(((p>z)&(a|i))&((p|i)&((a&a)>~((h|a))))) | (k|((h&(a>i))|((h|i)|(s|z)))) | 1 | 1 | 0 | 0 | entailment |
(~(s)&(p|(~((~(s)|i))&(p&k)))) | (k>~(s)) | 1 | 1 | 1 | 0 | entailment |
(((p>z)&(a|i))&((p|i)&((a&a)>~((h|a))))) | (k>~(s)) | 0 | 1 | 0 | 0 | not entailment |
(~(s)&(p|(~((~(s)|i))&(p&k)))) | (k|((h&(a>i))|((h|i)|(s|z)))) | 0 | 1 | 0 | 0 | not entailment |
((~(~(k))|(i|s))&~(h)) | (p|(a|~(((p|h)&~(~((h&(i>p)))))))) | 1 | 0 | 0 | 0 | entailment |
~((((s>p)&i)|a)) | (a>~(a)) | 1 | 1 | 1 | 1 | entailment |
((~(~(k))|(i|s))&~(h)) | (a>~(a)) | 0 | 1 | 0 | 0 | not entailment |
~((((s>p)&i)|a)) | (p|(a|~(((p|h)&~(~((h&(i>p)))))))) | 0 | 0 | 0 | 0 | not entailment |
(((a&i)&s)&((p&a)&(((k>~(z))|(z&a))>p))) | (~(i)>(k&p)) | 1 | 1 | 1 | 1 | entailment |
~((z|a)) | (((p|(i&h))>(~(z)&(a>~(s))))|(h&p)) | 1 | 0 | 0 | 0 | entailment |
(((a&i)&s)&((p&a)&(((k>~(z))|(z&a))>p))) | (((p|(i&h))>(~(z)&(a>~(s))))|(h&p)) | 0 | 1 | 0 | 0 | not entailment |
~((z|a)) | (~(i)>(k&p)) | 0 | 0 | 0 | 0 | not entailment |
(i&z) | ~(~((((p&s)>(a>(h>a)))>(i|k)))) | 1 | 0 | 0 | 0 | entailment |
~(((h|z)|s)) | ~(~(((p|p)>~(h)))) | 1 | 0 | 0 | 0 | entailment |
(i&z) | ~(~(((p|p)>~(h)))) | 0 | 0 | 0 | 0 | not entailment |
~(((h|z)|s)) | ~(~((((p&s)>(a>(h>a)))>(i|k)))) | 0 | 0 | 0 | 0 | not entailment |
(z&(a|s)) | ~(((h&(~(z)&h))&(((a|i)&z)>(p>a)))) | 1 | 0 | 0 | 0 | entailment |
~((i|((a>k)&((s&~(~(a)))>(a|h))))) | (~((p|z))|(i>p)) | 1 | 1 | 0 | 0 | entailment |
(z&(a|s)) | (~((p|z))|(i>p)) | 0 | 0 | 0 | 0 | not entailment |
~((i|((a>k)&((s&~(~(a)))>(a|h))))) | ~(((h&(~(z)&h))&(((a|i)&z)>(p>a)))) | 0 | 1 | 0 | 0 | not entailment |
(z&z) | (((i&a)&(h&~((k>s))))>(z&(z>a))) | 1 | 0 | 0 | 0 | entailment |
((((p|(a>s))|h)|(k|a))>((h&(i&k))&(k>h))) | (((s&(i|z))|(~(i)|i))>h) | 1 | 1 | 0 | 0 | entailment |
(z&z) | (((s&(i|z))|(~(i)|i))>h) | 0 | 0 | 0 | 0 | not entailment |
((((p|(a>s))|h)|(k|a))>((h&(i&k))&(k>h))) | (((i&a)&(h&~((k>s))))>(z&(z>a))) | 0 | 1 | 0 | 0 | not entailment |
((k&i)&((a>z)>((~(p)&z)|(~(i)>p)))) | ((z|i)|(((((h&i)>p)&(h&z))>~((p|s)))&s)) | 1 | 0 | 0 | 0 | entailment |
~(((((i&z)|((i>p)>h))|a)|(i|s))) | (p>~(h)) | 1 | 1 | 1 | 0 | entailment |
((k&i)&((a>z)>((~(p)&z)|(~(i)>p)))) | (p>~(h)) | 0 | 1 | 0 | 0 | not entailment |
~(((((i&z)|((i>p)>h))|a)|(i|s))) | ((z|i)|(((((h&i)>p)&(h&z))>~((p|s)))&s)) | 0 | 0 | 1 | 0 | not entailment |
(i|z) | ((~(z)>k)|(p|i)) | 1 | 0 | 0 | 0 | entailment |
((h&h)&~(~(a))) | (~(h)>(i&~(~(~(~(s)))))) | 1 | 0 | 0 | 0 | entailment |
(i|z) | (~(h)>(i&~(~(~(~(s)))))) | 0 | 0 | 0 | 0 | not entailment |
((h&h)&~(~(a))) | ((~(z)>k)|(p|i)) | 0 | 1 | 0 | 0 | not entailment |
~((h>(s>i))) | (((h>(p&k))&i)|((z&i)>a)) | 1 | 0 | 0 | 0 | entailment |
(z&~(k)) | (z|(((s|k)|k)&(((p&p)>i)|(k|z)))) | 1 | 0 | 0 | 0 | entailment |
~((h>(s>i))) | (z|(((s|k)|k)&(((p&p)>i)|(k|z)))) | 0 | 0 | 0 | 0 | not entailment |
(z&~(k)) | (((h>(p&k))&i)|((z&i)>a)) | 0 | 0 | 0 | 0 | not entailment |
~((((p>(z&k))>i)|k)) | ~((~(s)&(i&p))) | 1 | 1 | 0 | 0 | entailment |
~(~((k&(a>i)))) | ((s|~((k>k)))>(p|(z|k))) | 1 | 0 | 0 | 0 | entailment |
~((((p>(z&k))>i)|k)) | ((s|~((k>k)))>(p|(z|k))) | 0 | 0 | 0 | 0 | not entailment |
~(~((k&(a>i)))) | ~((~(s)&(i&p))) | 0 | 1 | 0 | 0 | not entailment |
~((z>((k|((h|z)|i))>(i|k)))) | ~(i) | 1 | 1 | 1 | 1 | entailment |
(a&p) | ((a>~((p|((i&h)>~(z)))))>~((z>s))) | 1 | 0 | 0 | 0 | entailment |
~((z>((k|((h|z)|i))>(i|k)))) | ((a>~((p|((i&h)>~(z)))))>~((z>s))) | 0 | 0 | 0 | 0 | not entailment |
(a&p) | ~(i) | 0 | 1 | 0 | 0 | not entailment |
((p&z)|a) | (((h|a)|a)|z) | 1 | 0 | 0 | 0 | entailment |
((~(a)>k)&~((p>~(i)))) | (i&((p|i)|(~(((p|k)>s))>~((a&~(a)))))) | 1 | 0 | 0 | 0 | entailment |
((p&z)|a) | (i&((p|i)|(~(((p|k)>s))>~((a&~(a)))))) | 0 | 0 | 0 | 0 | not entailment |
((~(a)>k)&~((p>~(i)))) | (((h|a)|a)|z) | 0 | 1 | 0 | 0 | not entailment |
(((u>p)&b)&(f|(p>u))) | (b|e) | 1 | 1 | 0 | 0 | entailment |
(f&(((b>f)&f)|(r>u))) | ((~(u)>f)|(~(~(p))&(r>(e&(b>e))))) | 1 | 0 | 0 | 0 | entailment |
(((u>p)&b)&(f|(p>u))) | ((~(u)>f)|(~(~(p))&(r>(e&(b>e))))) | 0 | 0 | 0 | 0 | not entailment |
(f&(((b>f)&f)|(r>u))) | (b|e) | 0 | 1 | 0 | 0 | not entailment |
(r&~(~((~(((f>p)&u))>(u|(e&(r>r))))))) | ((f|(p|r))|b) | 1 | 1 | 0 | 0 | entailment |
(~(f)&(b|(((f|e)>(e|p))|(b|f)))) | ~(f) | 1 | 1 | 1 | 1 | entailment |
(r&~(~((~(((f>p)&u))>(u|(e&(r>r))))))) | ~(f) | 0 | 1 | 1 | 1 | not entailment |
(~(f)&(b|(((f|e)>(e|p))|(b|f)))) | ((f|(p|r))|b) | 0 | 1 | 0 | 0 | not entailment |
(((e&~(p))&~(f))&(r&~((u&e)))) | (((f>(p&b))&((p>(p&b))|e))&e) | 1 | 1 | 0 | 0 | entailment |
~(((u>~(((~(u)&e)|r)))|(b|~((f&r))))) | ((f&r)&r) | 1 | 1 | 1 | 1 | entailment |
(((e&~(p))&~(f))&(r&~((u&e)))) | ((f&r)&r) | 0 | 1 | 1 | 0 | not entailment |
~(((u>~(((~(u)&e)|r)))|(b|~((f&r))))) | (((f>(p&b))&((p>(p&b))|e))&e) | 0 | 1 | 0 | 0 | not entailment |
~(((e&f)|r)) | ((~(e)>((r|~(b))>u))|(b>f)) | 1 | 0 | 0 | 0 | entailment |
~(e) | ((e>b)&(~(e)>((e>u)|r))) | 1 | 0 | 0 | 0 | entailment |
~(((e&f)|r)) | ((e>b)&(~(e)>((e>u)|r))) | 0 | 0 | 0 | 0 | not entailment |
~(e) | ((~(e)>((r|~(b))>u))|(b>f)) | 0 | 0 | 0 | 0 | not entailment |
~(((u&e)>b)) | (b>~((r>(b>b)))) | 1 | 0 | 0 | 0 | entailment |
((p&f)&(p>(u&(u&r)))) | (e>r) | 1 | 1 | 0 | 0 | entailment |
~(((u&e)>b)) | (e>r) | 0 | 1 | 0 | 0 | not entailment |
((p&f)&(p>(u&(u&r)))) | (b>~((r>(b>b)))) | 0 | 1 | 0 | 0 | not entailment |
((r|(~(u)&p))&e) | (~(~(~((r>u))))|e) | 1 | 0 | 1 | 1 | entailment |
(~(r)&(f|(r|r))) | (u|f) | 1 | 1 | 0 | 0 | entailment |
((r|(~(u)&p))&e) | (u|f) | 0 | 1 | 0 | 0 | not entailment |
(~(r)&(f|(r|r))) | (~(~(~((r>u))))|e) | 0 | 0 | 0 | 0 | not entailment |
~(((~(f)|~((e>~(p))))|((u>r)>p))) | (((b&f)|((~(~(r))>e)&(p|f)))|r) | 1 | 1 | 0 | 0 | entailment |
~(((((e|(~((e>e))&e))&u)&e)>p)) | (((b&(e&r))&~((u|f)))|e) | 1 | 1 | 0 | 0 | entailment |
~(((~(f)|~((e>~(p))))|((u>r)>p))) | (((b&(e&r))&~((u|f)))|e) | 0 | 1 | 0 | 0 | not entailment |
~(((((e|(~((e>e))&e))&u)&e)>p)) | (((b&f)|((~(~(r))>e)&(p|f)))|r) | 0 | 1 | 0 | 0 | not entailment |
(((p&p)>u)&((~((b&((p|~(p))|b)))&e)&f)) | (b|e) | 1 | 1 | 1 | 0 | entailment |
(((b&e)>r)&~(r)) | (~(~(~(r)))|(e&u)) | 1 | 0 | 0 | 0 | entailment |
(((p&p)>u)&((~((b&((p|~(p))|b)))&e)&f)) | (~(~(~(r)))|(e&u)) | 0 | 1 | 0 | 0 | not entailment |
(((b&e)>r)&~(r)) | (b|e) | 0 | 1 | 1 | 0 | not entailment |
(~((e>b))&r) | (~(~((b>~(r))))|(~((f>((u|e)&f)))|p)) | 1 | 0 | 0 | 0 | entailment |
~(((e|(b>e))|e)) | ~((~(b)&p)) | 1 | 1 | 0 | 0 | entailment |
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