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|j)>q)|(f|q))&(h&~(v))) | (f|~(((f>h)>(~((a&i))&a)))) | 0 | 1 | 0 | 0 | not entailment |
(~(((a>v)&~((q|i))))>j) | (((f&h)&i)>((((v|f)&h)>j)&(h&(h>h)))) | 1 | 0 | 0 | 0 | entailment |
((~((o|f))|a)&q) | ((~(h)&q)|h) | 1 | 1 | 0 | 0 | entailment |
(~(((a>v)&~((q|i))))>j) | ((~(h)&q)|h) | 0 | 1 | 0 | 0 | not entailment |
((~((o|f))|a)&q) | (((f&h)&i)>((((v|f)&h)>j)&(h&(h>h)))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(h)|(a|(i|v)))|(f&j))) | (o|h) | 1 | 1 | 0 | 0 | entailment |
~(((o|(i|(a|v)))>h)) | (~((h|(a&(v&~(v)))))|(h>q)) | 1 | 0 | 0 | 0 | entailment |
~(((~(h)|(a|(i|v)))|(f&j))) | (~((h|(a&(v&~(v)))))|(h>q)) | 0 | 1 | 0 | 0 | not entailment |
~(((o|(i|(a|v)))>h)) | (o|h) | 0 | 1 | 1 | 0 | not entailment |
((v>o)&h) | ((a>((q|q)|~(((~(o)&f)&~((a&v))))))>h) | 1 | 0 | 0 | 0 | entailment |
~((~(~((i>v)))|(a>q))) | (~(~(v))|i) | 1 | 1 | 1 | 0 | entailment |
((v>o)&h) | (~(~(v))|i) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((i>v)))|(a>q))) | ((a>((q|q)|~(((~(o)&f)&~((a&v))))))>h) | 0 | 0 | 0 | 0 | not entailment |
(~((q>j))&((f|f)|h)) | ~(~(((q&~(j))|((i&v)>h)))) | 1 | 0 | 0 | 0 | entailment |
(i&(~(j)&a)) | ((h&~(a))>(v&(a>~(o)))) | 1 | 0 | 0 | 0 | entailment |
(~((q>j))&((f|f)|h)) | ((h&~(a))>(v&(a>~(o)))) | 0 | 0 | 0 | 0 | not entailment |
(i&(~(j)&a)) | ~(~(((q&~(j))|((i&v)>h)))) | 0 | 0 | 0 | 0 | not entailment |
(j|j) | (~((~(i)|((((o&h)|q)&(f|a))>(v&j))))>j) | 1 | 0 | 0 | 0 | entailment |
(a&o) | (a|(j&f)) | 1 | 0 | 0 | 0 | entailment |
(j|j) | (a|(j&f)) | 0 | 0 | 0 | 0 | not entailment |
(a&o) | (~((~(i)|((((o&h)|q)&(f|a))>(v&j))))>j) | 0 | 0 | 0 | 0 | not entailment |
((((q&h)|((j&i)|i))|o)&~(i)) | (((h&v)|o)>~((~((h&f))&(i&~(j))))) | 1 | 0 | 0 | 0 | entailment |
(h&((v>(((h|f)|a)&~(~(v))))>o)) | (~(h)>(~(q)>j)) | 1 | 1 | 0 | 0 | entailment |
((((q&h)|((j&i)|i))|o)&~(i)) | (~(h)>(~(q)>j)) | 0 | 1 | 1 | 1 | not entailment |
(h&((v>(((h|f)|a)&~(~(v))))>o)) | (((h&v)|o)>~((~((h&f))&(i&~(j))))) | 0 | 0 | 0 | 0 | not entailment |
~(((((j|i)|v)>i)>~((o|i)))) | ((j&(f>a))>(a>i)) | 1 | 1 | 0 | 0 | entailment |
~(~((v&((i&h)>(o&j))))) | (v|~(j)) | 1 | 1 | 1 | 0 | entailment |
~(((((j|i)|v)>i)>~((o|i)))) | (v|~(j)) | 0 | 1 | 1 | 0 | not entailment |
~(~((v&((i&h)>(o&j))))) | ((j&(f>a))>(a>i)) | 0 | 1 | 0 | 0 | not entailment |
~((~((v>a))|((f|(j|h))|a))) | (~(v)|j) | 1 | 1 | 1 | 0 | entailment |
((~(j)>(h|i))&a) | ((a|~(h))&((j|a)|(h|v))) | 1 | 0 | 0 | 0 | entailment |
~((~((v>a))|((f|(j|h))|a))) | ((a|~(h))&((j|a)|(h|v))) | 0 | 1 | 1 | 0 | not entailment |
((~(j)>(h|i))&a) | (~(v)|j) | 0 | 1 | 0 | 0 | not entailment |
~(((j|(h&a))>(j|v))) | ~((j|~((((a>j)&((f>i)|f))>(v|f))))) | 1 | 0 | 0 | 0 | entailment |
(v&(a|h)) | ((a>(o|q))|((a&i)>v)) | 1 | 0 | 0 | 0 | entailment |
~(((j|(h&a))>(j|v))) | ((a>(o|q))|((a&i)>v)) | 0 | 1 | 0 | 0 | not entailment |
(v&(a|h)) | ~((j|~((((a>j)&((f>i)|f))>(v|f))))) | 0 | 0 | 0 | 0 | not entailment |
(c|c) | ((c&c)|c) | 1 | 0 | 1 | 1 | entailment |
~(((c|(c&c))|((c>c)>c))) | ~(((c>(c&c))>(c&c))) | 1 | 1 | 1 | 1 | entailment |
(c|c) | ~(((c>(c&c))>(c&c))) | 0 | 0 | 1 | 0 | not entailment |
~(((c|(c&c))|((c>c)>c))) | ((c&c)|c) | 0 | 1 | 1 | 1 | not entailment |
~(~(((~((c>c))&c)|c))) | (((c|c)&c)&c) | 1 | 1 | 1 | 1 | entailment |
(((c>(((c|c)|c)>(c|c)))>(c|c))>~(c)) | ~(c) | 1 | 1 | 1 | 1 | entailment |
~(~(((~((c>c))&c)|c))) | ~(c) | 0 | 1 | 1 | 1 | not entailment |
(((c>(((c|c)|c)>(c|c)))>(c|c))>~(c)) | (((c|c)&c)&c) | 0 | 1 | 1 | 1 | not entailment |
((c|(((c>c)|c)|c))&c) | ((c&c)&c) | 1 | 1 | 1 | 1 | entailment |
~(((c|((c&c)&c))|((c|c)&c))) | ~(c) | 1 | 1 | 1 | 1 | entailment |
((c|(((c>c)|c)|c))&c) | ~(c) | 0 | 1 | 1 | 1 | not entailment |
~(((c|((c&c)&c))|((c|c)&c))) | ((c&c)&c) | 0 | 1 | 1 | 0 | not entailment |
(~((((c>c)&c)&((c&c)>c)))>(c&(c|c))) | (~(c)>c) | 1 | 1 | 1 | 1 | entailment |
~(c) | ~((((c>c)>(c&c))&~(~((c|(c&c)))))) | 1 | 0 | 1 | 0 | entailment |
(~((((c>c)&c)&((c&c)>c)))>(c&(c|c))) | ~((((c>c)>(c&c))&~(~((c|(c&c)))))) | 0 | 1 | 1 | 1 | not entailment |
~(c) | (~(c)>c) | 0 | 0 | 1 | 0 | not entailment |
((((c>c)|c)&(c>(c|c)))&c) | ~(~(c)) | 1 | 1 | 1 | 1 | entailment |
(((c>(c&c))>c)>(c&(c&~((c&c))))) | (~((c&c))&~(c)) | 1 | 1 | 1 | 1 | entailment |
((((c>c)|c)&(c>(c|c)))&c) | (~((c&c))&~(c)) | 0 | 1 | 1 | 1 | not entailment |
(((c>(c&c))>c)>(c&(c&~((c&c))))) | ~(~(c)) | 0 | 1 | 1 | 1 | not entailment |
((c&c)&(c|c)) | ((c|c)|((c>((~(c)&c)&~(c)))>c)) | 1 | 0 | 1 | 0 | entailment |
~((c&(~((c&(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|c)&c))|~(c)))>~((c>c)))) | 0 | 0 | 1 | 0 | not entailment |
~((c&(~((c&(c|(c>c))))>((c|c)&(c>c))))) | ((c|c)|((c>((~(c)&c)&~(c)))>c)) | 0 | 1 | 1 | 1 | not entailment |
~(~(((c&c)|c))) | (c&c) | 1 | 1 | 1 | 1 | entailment |
~(c) | (~(((c>c)>c))&(((c&c)&(c|c))>~(~(c)))) | 1 | 0 | 1 | 0 | entailment |
~(~(((c&c)|c))) | (~(((c>c)>c))&(((c&c)&(c|c))>~(~(c)))) | 0 | 0 | 1 | 0 | not entailment |
~(c) | (c&c) | 0 | 1 | 1 | 0 | not entailment |
(((j&h)>(u|x))&(~((s>(b>a)))|o)) | (~((j|j))|(r|((o|b)&j))) | 1 | 1 | 0 | 0 | entailment |
((a|a)&((u|((b|r)>n))&(r|(n&j)))) | (~((((a|j)|u)&(a|~(j))))>(s>a)) | 1 | 1 | 0 | 0 | entailment |
(((j&h)>(u|x))&(~((s>(b>a)))|o)) | (~((((a|j)|u)&(a|~(j))))>(s>a)) | 0 | 1 | 1 | 0 | not entailment |
((a|a)&((u|((b|r)>n))&(r|(n&j)))) | (~((j|j))|(r|((o|b)&j))) | 0 | 1 | 0 | 0 | not entailment |
((~(u)|(a&(j&(u|h))))&(x|a)) | (((~(((a&u)|j))|j)|b)|(r>((b|(x|s))>x))) | 1 | 0 | 0 | 0 | entailment |
(((o&h)>(r>n))&~(h)) | (~(h)|~((b>(x&b)))) | 1 | 1 | 0 | 0 | entailment |
((~(u)|(a&(j&(u|h))))&(x|a)) | (~(h)|~((b>(x&b)))) | 0 | 1 | 0 | 0 | not entailment |
(((o&h)>(r>n))&~(h)) | (((~(((a&u)|j))|j)|b)|(r>((b|(x|s))>x))) | 0 | 0 | 0 | 0 | not entailment |
~(~(a)) | (h>a) | 1 | 1 | 0 | 0 | entailment |
~(((r&s)>((j>x)|a))) | (~(((a&u)>(u&b)))|(j>r)) | 1 | 0 | 0 | 0 | entailment |
~(~(a)) | (~(((a&u)>(u&b)))|(j>r)) | 0 | 0 | 0 | 0 | not entailment |
~(((r&s)>((j>x)|a))) | (h>a) | 0 | 1 | 0 | 0 | not entailment |
~((n|~(~(h)))) | ((~(r)|(h|u))>(h>(u|r))) | 1 | 0 | 0 | 0 | entailment |
(o&~(~((a&((a>o)&((j|n)>r)))))) | (a&(n|~((b&n)))) | 1 | 1 | 0 | 0 | entailment |
~((n|~(~(h)))) | (a&(n|~((b&n)))) | 0 | 1 | 0 | 0 | not entailment |
(o&~(~((a&((a>o)&((j|n)>r)))))) | ((~(r)|(h|u))>(h>(u|r))) | 0 | 1 | 0 | 0 | not entailment |
~((((~(s)|(o|~(o)))&~((j&s)))&o)) | (~(((o&o)>~(a)))>~(~(s))) | 1 | 1 | 0 | 0 | entailment |
((u|x)&(r&((n&~((b|b)))&r))) | (~((a&b))>((s&u)>(~((r|j))|r))) | 1 | 0 | 0 | 0 | entailment |
~((((~(s)|(o|~(o)))&~((j&s)))&o)) | (~((a&b))>((s&u)>(~((r|j))|r))) | 0 | 1 | 0 | 0 | not entailment |
((u|x)&(r&((n&~((b|b)))&r))) | (~(((o&o)>~(a)))>~(~(s))) | 0 | 1 | 0 | 0 | not entailment |
(~(((j>o)&(s&n)))&~(x)) | ~(x) | 1 | 1 | 1 | 1 | entailment |
~(((u&(h&o))|((h|u)|(b>(s&(b&b)))))) | ~(~(b)) | 1 | 1 | 1 | 1 | entailment |
(~(((j>o)&(s&n)))&~(x)) | ~(~(b)) | 0 | 1 | 0 | 0 | not entailment |
~(((u&(h&o))|((h|u)|(b>(s&(b&b)))))) | ~(x) | 0 | 1 | 0 | 0 | not entailment |
~(~((~((r&(s&n)))&(x&n)))) | (b>((s|x)>(~(u)|x))) | 1 | 1 | 0 | 0 | entailment |
(a&r) | (~((a|o))>(((j&r)&b)|o)) | 1 | 0 | 0 | 0 | entailment |
~(~((~((r&(s&n)))&(x&n)))) | (~((a|o))>(((j&r)&b)|o)) | 0 | 1 | 0 | 0 | not entailment |
(a&r) | (b>((s|x)>(~(u)|x))) | 0 | 0 | 0 | 0 | not entailment |
~((~(b)|j)) | (((r|r)|x)|((o>(a|a))>(b|b))) | 1 | 0 | 0 | 0 | entailment |
(((s>a)|(j>(a&(o>h))))&h) | (((o&s)&r)|(~(x)>h)) | 1 | 1 | 0 | 0 | entailment |
~((~(b)|j)) | (((o&s)&r)|(~(x)>h)) | 0 | 0 | 0 | 0 | not entailment |
(((s>a)|(j>(a&(o>h))))&h) | (((r|r)|x)|((o>(a|a))>(b|b))) | 0 | 0 | 0 | 0 | not entailment |
(b&r) | (((~(u)&~(o))&(~(o)|(s>s)))>(h>(r|n))) | 1 | 0 | 0 | 0 | entailment |
~((s>o)) | (~(o)|((u&r)|u)) | 1 | 0 | 0 | 0 | entailment |
(b&r) | (~(o)|((u&r)|u)) | 0 | 0 | 0 | 0 | not entailment |
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