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 |
|---|---|---|---|---|---|---|
~(((e|e)>(e&~(~(p))))) | (~((~(d)&f))>((e|~(~(s)))|~(p))) | 1 | 0 | 0 | 0 | entailment |
(d&(i|x)) | (~(i)>x) | 1 | 1 | 1 | 1 | entailment |
~(((e|e)>(e&~(~(p))))) | (~(i)>x) | 0 | 1 | 0 | 0 | not entailment |
(d&(i|x)) | (~((~(d)&f))>((e|~(~(s)))|~(p))) | 0 | 0 | 0 | 0 | not entailment |
(p&(((o>d)&((d>x)>(i>e)))&o)) | ((e|f)|(d|(p&(s>e)))) | 1 | 1 | 0 | 0 | entailment |
(i&((d|i)&p)) | (~(~(s))>~(~(i))) | 1 | 0 | 0 | 0 | entailment |
(p&(((o>d)&((d>x)>(i>e)))&o)) | (~(~(s))>~(~(i))) | 0 | 1 | 0 | 0 | not entailment |
(i&((d|i)&p)) | ((e|f)|(d|(p&(s>e)))) | 0 | 0 | 0 | 0 | not entailment |
((d>s)>(d&m)) | ~(~((e|d))) | 1 | 1 | 0 | 0 | entailment |
((f>p)>(e&f)) | ((o>s)|f) | 1 | 1 | 0 | 0 | entailment |
((d>s)>(d&m)) | ((o>s)|f) | 0 | 1 | 0 | 0 | not entailment |
((f>p)>(e&f)) | ~(~((e|d))) | 0 | 1 | 0 | 0 | not entailment |
~(~(((((f&d)|(d&f))|m)&(f|s)))) | ~(~((~(~(m))|(~(~(f))&(f|~(o)))))) | 1 | 0 | 0 | 0 | entailment |
(s&(o&i)) | (~(~((o|~(i))))|(~(((d|p)&i))>o)) | 1 | 0 | 0 | 0 | entailment |
~(~(((((f&d)|(d&f))|m)&(f|s)))) | (~(~((o|~(i))))|(~(((d|p)&i))>o)) | 0 | 0 | 0 | 0 | not entailment |
(s&(o&i)) | ~(~((~(~(m))|(~(~(f))&(f|~(o)))))) | 0 | 0 | 0 | 0 | not entailment |
~((m>(~(m)&((m&x)|m)))) | ~(~((m|s))) | 1 | 1 | 0 | 0 | entailment |
(~((f&((f&~((s>x)))|((o>o)|i))))&~(x)) | (~((f>~((d|x))))>((p>~(~(x)))&~(x))) | 1 | 1 | 0 | 0 | entailment |
~((m>(~(m)&((m&x)|m)))) | (~((f>~((d|x))))>((p>~(~(x)))&~(x))) | 0 | 0 | 0 | 0 | not entailment |
(~((f&((f&~((s>x)))|((o>o)|i))))&~(x)) | ~(~((m|s))) | 0 | 1 | 0 | 0 | not entailment |
(((~(i)|i)|(d&(m>f)))&((d|f)&((m|d)&p))) | (((s>x)>(d|m))|(x&p)) | 1 | 1 | 0 | 0 | entailment |
(x&((i&o)|m)) | ((((p&x)>(e>p))&(o&p))|(x&x)) | 1 | 0 | 0 | 0 | entailment |
(((~(i)|i)|(d&(m>f)))&((d|f)&((m|d)&p))) | ((((p&x)>(e>p))&(o&p))|(x&x)) | 0 | 1 | 0 | 0 | not entailment |
(x&((i&o)|m)) | (((s>x)>(d|m))|(x&p)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((m>(i|(p|(e&o))))))) | ((p>d)|i) | 1 | 1 | 0 | 0 | entailment |
((e|e)&~(~((o&(e&p))))) | ((x|s)|(((e|d)>x)>(((p&(o>d))&~(p))|e))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((m>(i|(p|(e&o))))))) | ((x|s)|(((e|d)>x)>(((p&(o>d))&~(p))|e))) | 0 | 0 | 0 | 0 | not entailment |
((e|e)&~(~((o&(e&p))))) | ((p>d)|i) | 0 | 1 | 0 | 0 | not entailment |
(~((p&o))&((f&((s>(e&i))>(d|(s&p))))&p)) | (~((~(m)>~(((f|(f|(i>m)))|p))))|(o>x)) | 1 | 1 | 0 | 0 | entailment |
((f&(~(~(x))|~((x&f))))&(x|(i&s))) | ~(~((s|(~(p)|x)))) | 1 | 1 | 0 | 0 | entailment |
(~((p&o))&((f&((s>(e&i))>(d|(s&p))))&p)) | ~(~((s|(~(p)|x)))) | 0 | 1 | 0 | 0 | not entailment |
((f&(~(~(x))|~((x&f))))&(x|(i&s))) | (~((~(m)>~(((f|(f|(i>m)))|p))))|(o>x)) | 0 | 0 | 0 | 0 | not entailment |
~((e>~(s))) | (s|(m>p)) | 1 | 1 | 0 | 0 | entailment |
~(~((x&(i&d)))) | (d|((e&f)&i)) | 1 | 1 | 0 | 0 | entailment |
~((e>~(s))) | (d|((e&f)&i)) | 0 | 1 | 0 | 0 | not entailment |
~(~((x&(i&d)))) | (s|(m>p)) | 0 | 1 | 0 | 0 | not entailment |
(((o>e)>(x>(e>o)))&o) | ((((p>~(d))>f)>(o|i))|x) | 1 | 0 | 0 | 0 | entailment |
~(o) | ((~((i>~(p)))|s)>(o>s)) | 1 | 0 | 0 | 0 | entailment |
(((o>e)>(x>(e>o)))&o) | ((~((i>~(p)))|s)>(o>s)) | 0 | 0 | 0 | 0 | not entailment |
~(o) | ((((p>~(d))>f)>(o|i))|x) | 0 | 0 | 0 | 0 | not entailment |
(p&~((x&x))) | (d|p) | 1 | 1 | 0 | 0 | entailment |
(e&(~(p)|d)) | ~(~(~(~(((~(~(x))|o)|e))))) | 1 | 0 | 0 | 0 | entailment |
(p&~((x&x))) | ~(~(~(~(((~(~(x))|o)|e))))) | 0 | 0 | 0 | 0 | not entailment |
(e&(~(p)|d)) | (d|p) | 0 | 1 | 1 | 0 | not entailment |
(((s>(~(f)|(x|f)))&~(x))&m) | ((d>s)|m) | 1 | 1 | 0 | 0 | entailment |
~(s) | (((~(s)|e)|(i>~((i|o))))|(p|f)) | 1 | 0 | 0 | 0 | entailment |
(((s>(~(f)|(x|f)))&~(x))&m) | (((~(s)|e)|(i>~((i|o))))|(p|f)) | 0 | 0 | 0 | 0 | not entailment |
~(s) | ((d>s)|m) | 0 | 0 | 0 | 0 | not entailment |
(~(p)&o) | (m|(x>o)) | 1 | 1 | 0 | 0 | entailment |
(((s>p)|f)>e) | (((~(f)|(x>(i>i)))>e)|s) | 1 | 0 | 0 | 0 | entailment |
(~(p)&o) | (((~(f)|(x>(i>i)))>e)|s) | 0 | 0 | 0 | 0 | not entailment |
(((s>p)|f)>e) | (m|(x>o)) | 0 | 1 | 0 | 0 | not entailment |
~(s) | (~((s&p))|i) | 1 | 0 | 0 | 0 | entailment |
(d&(p|p)) | (d|i) | 1 | 1 | 0 | 0 | entailment |
~(s) | (d|i) | 0 | 1 | 0 | 0 | not entailment |
(d&(p|p)) | (~((s&p))|i) | 0 | 0 | 0 | 0 | not entailment |
~((p|((f&o)>((e&(s>p))>(f&~(i)))))) | (s>((m&((e>s)|~((i|s))))|(((i|p)|e)&p))) | 1 | 0 | 0 | 0 | entailment |
((d>f)&x) | ((m|x)|~(d)) | 1 | 0 | 0 | 0 | entailment |
~((p|((f&o)>((e&(s>p))>(f&~(i)))))) | ((m|x)|~(d)) | 0 | 1 | 0 | 0 | not entailment |
((d>f)&x) | (s>((m&((e>s)|~((i|s))))|(((i|p)|e)&p))) | 0 | 0 | 0 | 0 | not entailment |
((((d|d)|f)&(p&(p&f)))&d) | (((o>d)|~((p&i)))|((i|~((s&(x&p))))>m)) | 1 | 0 | 0 | 0 | entailment |
((p&p)&~((~(o)|(p&(f&m))))) | (o|(((d>i)|(i|e))&(o|o))) | 1 | 1 | 0 | 0 | entailment |
((((d|d)|f)&(p&(p&f)))&d) | (o|(((d>i)|(i|e))&(o|o))) | 0 | 1 | 0 | 0 | not entailment |
((p&p)&~((~(o)|(p&(f&m))))) | (((o>d)|~((p&i)))|((i|~((s&(x&p))))>m)) | 0 | 0 | 0 | 0 | not entailment |
~((~((d|e))|~(p))) | ((d&~(((d&m)>p)))>(e&i)) | 1 | 0 | 0 | 0 | entailment |
~(((((d>~(f))>f)|o)|(i&i))) | ((i&s)>m) | 1 | 1 | 0 | 0 | entailment |
~((~((d|e))|~(p))) | ((i&s)>m) | 0 | 1 | 0 | 0 | not entailment |
~(((((d>~(f))>f)|o)|(i&i))) | ((d&~(((d&m)>p)))>(e&i)) | 0 | 1 | 0 | 0 | not entailment |
((g&(g>g))&(((g>g)>(g|g))|g)) | (~((((g&(g>g))>g)|(g|g)))|(g|(g|g))) | 1 | 0 | 1 | 1 | entailment |
~(((g&g)&((g&g)&(g|~((g|g)))))) | ~((((g|(g>(g&g)))&(g|g))&(g&g))) | 1 | 1 | 1 | 1 | entailment |
((g&(g>g))&(((g>g)>(g|g))|g)) | ~((((g|(g>(g&g)))&(g|g))&(g&g))) | 0 | 0 | 1 | 1 | not entailment |
~(((g&g)&((g&g)&(g|~((g|g)))))) | (~((((g&(g>g))>g)|(g|g)))|(g|(g|g))) | 0 | 0 | 1 | 1 | not entailment |
((g|(g&(~((g>g))>((g&g)>(g|g)))))|(g|g)) | ~(~(g)) | 1 | 1 | 1 | 1 | entailment |
((g&(g|g))>(g>~(g))) | ((g&g)>((g>~(g))&(g&g))) | 1 | 0 | 1 | 0 | entailment |
((g|(g&(~((g>g))>((g&g)>(g|g)))))|(g|g)) | ((g&g)>((g>~(g))&(g&g))) | 0 | 1 | 1 | 1 | not entailment |
((g&(g|g))>(g>~(g))) | ~(~(g)) | 0 | 1 | 1 | 0 | not entailment |
(e&g) | ~(((((q>q)>(e&z))>(y|z))&(z&(q&~(g))))) | 1 | 0 | 0 | 0 | entailment |
(q&~(g)) | (~((p>q))>(~(a)>~(e))) | 1 | 0 | 0 | 0 | entailment |
(e&g) | (~((p>q))>(~(a)>~(e))) | 0 | 0 | 0 | 0 | not entailment |
(q&~(g)) | ~(((((q>q)>(e&z))>(y|z))&(z&(q&~(g))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(s)) | ((~(~(g))|s)&(g|s)) | 1 | 0 | 0 | 0 | entailment |
~(((d&((s>g)|~(p)))>y)) | ((~(y)>(a&(z>a)))|(((d&s)|(d|q))&d)) | 1 | 0 | 0 | 0 | entailment |
~(~(s)) | ((~(y)>(a&(z>a)))|(((d&s)|(d|q))&d)) | 0 | 0 | 0 | 0 | not entailment |
~(((d&((s>g)|~(p)))>y)) | ((~(~(g))|s)&(g|s)) | 0 | 1 | 1 | 0 | not entailment |
((z|(p>((~(z)|d)|d)))&((y>y)&~((y>z)))) | ((z>q)|(~(~(((s&q)>(s>y))))&s)) | 1 | 1 | 0 | 0 | entailment |
~(((z&a)|(z>(a|~(~(s)))))) | (~(z)>z) | 1 | 1 | 1 | 1 | entailment |
((z|(p>((~(z)|d)|d)))&((y>y)&~((y>z)))) | (~(z)>z) | 0 | 1 | 1 | 1 | not entailment |
~(((z&a)|(z>(a|~(~(s)))))) | ((z>q)|(~(~(((s&q)>(s>y))))&s)) | 0 | 0 | 0 | 0 | not entailment |
(g&~(~((p|(d|p))))) | (~(d)>g) | 1 | 1 | 1 | 1 | entailment |
~(~(y)) | (y|(((~(a)>(e|s))|q)>q)) | 1 | 0 | 0 | 0 | entailment |
(g&~(~((p|(d|p))))) | (y|(((~(a)>(e|s))|q)>q)) | 0 | 0 | 0 | 0 | not entailment |
~(~(y)) | (~(d)>g) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((~(~(q))|g)))) | ~(~(~(~((g|(q>z)))))) | 1 | 1 | 0 | 0 | entailment |
(~(a)&(~((a>a))>(y>(y|s)))) | ~((~(~(~((a>s))))&(g>~(g)))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((~(~(q))|g)))) | ~((~(~(~((a>s))))&(g>~(g)))) | 0 | 0 | 0 | 0 | not entailment |
(~(a)&(~((a>a))>(y>(y|s)))) | ~(~(~(~((g|(q>z)))))) | 0 | 1 | 0 | 0 | not entailment |
~((((g>a)>(y&g))|(~((a>p))>g))) | ~((p&(e>s))) | 1 | 1 | 0 | 0 | entailment |
(~((~(((p>y)|~(d)))>s))&~(g)) | (((e|~(g))&~((s&(d>a))))>p) | 1 | 1 | 0 | 0 | entailment |
~((((g>a)>(y&g))|(~((a>p))>g))) | (((e|~(g))&~((s&(d>a))))>p) | 0 | 1 | 0 | 0 | not entailment |
(~((~(((p>y)|~(d)))>s))&~(g)) | ~((p&(e>s))) | 0 | 1 | 0 | 0 | not entailment |
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