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 |
|---|---|---|---|---|---|---|
~((s>(f&f))) | (~(d)>f) | 0 | 1 | 0 | 0 | not entailment |
~((~((s|~(f)))|~(d))) | ((f|((d|s)>~((f>f))))|s) | 0 | 1 | 1 | 0 | not entailment |
(((s>d)&s)&d) | (f>s) | 1 | 1 | 0 | 0 | entailment |
(d>(f&(s|(f|s)))) | ((~((s&d))|f)&(d>f)) | 1 | 0 | 1 | 0 | entailment |
(((s>d)&s)&d) | ((~((s&d))|f)&(d>f)) | 0 | 0 | 0 | 0 | not entailment |
(d>(f&(s|(f|s)))) | (f>s) | 0 | 1 | 1 | 0 | not entailment |
(((((s&d)|s)&f)&(s>d))&(f>f)) | (((s>(s|(s|d)))>s)&(d|f)) | 1 | 1 | 1 | 0 | entailment |
~((~(f)|s)) | ~(((d|f)&~(~((s&s))))) | 1 | 0 | 0 | 0 | entailment |
(((((s&d)|s)&f)&(s>d))&(f>f)) | ~(((d|f)&~(~((s&s))))) | 0 | 1 | 1 | 0 | not entailment |
~((~(f)|s)) | (((s>(s|(s|d)))>s)&(d|f)) | 0 | 0 | 0 | 0 | not entailment |
~(((((d>d)&d)|(s|(s|d)))&d)) | (d>(f|((~(((d>f)&s))|s)&(s&(s&s))))) | 1 | 0 | 0 | 0 | entailment |
~(((d>(f|f))|~((f>(s&(d&(f>f))))))) | (d|f) | 1 | 1 | 1 | 1 | entailment |
~(((((d>d)&d)|(s|(s|d)))&d)) | (d|f) | 0 | 1 | 0 | 0 | not entailment |
~(((d>(f|f))|~((f>(s&(d&(f>f))))))) | (d>(f|((~(((d>f)&s))|s)&(s&(s&s))))) | 0 | 1 | 1 | 0 | not entailment |
((s>(((s|s)&((d&f)>f))|s))&((d|~(f))>f)) | (f|~(~(((s|(d&s))>(f|f))))) | 1 | 1 | 1 | 1 | entailment |
((((~(~((s>d)))|s)|s)&d)&(s&((f|s)&d))) | ~((~(~((f&~((d&f)))))&(d>s))) | 1 | 1 | 1 | 0 | entailment |
((s>(((s|s)&((d&f)>f))|s))&((d|~(f))>f)) | ~((~(~((f&~((d&f)))))&(d>s))) | 0 | 1 | 1 | 0 | not entailment |
((((~(~((s>d)))|s)|s)&d)&(s&((f|s)&d))) | (f|~(~(((s|(d&s))>(f|f))))) | 0 | 1 | 1 | 0 | not entailment |
(f&f) | (s|((f|d)|(d&f))) | 1 | 0 | 0 | 0 | entailment |
~(((f|s)&((f&(f&d))|(f>s)))) | (((f|(d|f))&(f>~(f)))|(f>(~(s)|d))) | 1 | 0 | 1 | 0 | entailment |
(f&f) | (((f|(d|f))&(f>~(f)))|(f>(~(s)|d))) | 0 | 0 | 0 | 0 | not entailment |
~(((f|s)&((f&(f&d))|(f>s)))) | (s|((f|d)|(d&f))) | 0 | 1 | 1 | 0 | not entailment |
(((f>f)&f)&((f>(d&s))&f)) | (~((s>(d&f)))>d) | 1 | 1 | 1 | 0 | entailment |
((d>s)&(~(f)&~((f&~((d|s)))))) | ~((f|((s|d)&~((~(f)|(~((f&d))>f)))))) | 1 | 0 | 1 | 0 | entailment |
(((f>f)&f)&((f>(d&s))&f)) | ~((f|((s|d)&~((~(f)|(~((f&d))>f)))))) | 0 | 0 | 1 | 0 | not entailment |
((d>s)&(~(f)&~((f&~((d|s)))))) | (~((s>(d&f)))>d) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(((s|(~(s)>d))&(d&((s&d)|s)))))) | (~(f)>~((d&s))) | 1 | 1 | 0 | 0 | entailment |
~((~(~(((s>f)&s)))&((f|s)&s))) | ((s>d)|~(~(~((((~(f)|f)|s)>f))))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((s|(~(s)>d))&(d&((s&d)|s)))))) | ((s>d)|~(~(~((((~(f)|f)|s)>f))))) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(((s>f)&s)))&((f|s)&s))) | (~(f)>~((d&s))) | 0 | 1 | 0 | 0 | not entailment |
(a&t) | ((t|t)&(l|(a|t))) | 1 | 0 | 0 | 0 | entailment |
(((l>a)&(a>a))&l) | (~(t)|l) | 1 | 1 | 0 | 0 | entailment |
(a&t) | (~(t)|l) | 0 | 0 | 0 | 0 | not entailment |
(((l>a)&(a>a))&l) | ((t|t)&(l|(a|t))) | 0 | 1 | 0 | 0 | not entailment |
((t&l)&~(~((t&l)))) | ((t|a)>(((l&l)|l)&l)) | 1 | 1 | 0 | 0 | entailment |
~(~(a)) | ((l|(((t>l)|~(t))>(a|l)))&(l>a)) | 1 | 0 | 0 | 0 | entailment |
((t&l)&~(~((t&l)))) | ((l|(((t>l)|~(t))>(a|l)))&(l>a)) | 0 | 0 | 0 | 0 | not entailment |
~(~(a)) | ((t|a)>(((l&l)|l)&l)) | 0 | 0 | 0 | 0 | not entailment |
((((l|t)>t)&l)&t) | (((a|((t&(t>t))>a))&(t|a))|l) | 1 | 0 | 0 | 0 | entailment |
~(((a|(t|t))|((t&a)&l))) | ~(((~(a)|(l|l))>(t|t))) | 1 | 1 | 1 | 0 | entailment |
((((l|t)>t)&l)&t) | ~(((~(a)|(l|l))>(t|t))) | 0 | 0 | 0 | 0 | not entailment |
~(((a|(t|t))|((t&a)&l))) | (((a|((t&(t>t))>a))&(t|a))|l) | 0 | 0 | 1 | 0 | not entailment |
((l|a)>((l&(l&t))|(l|t))) | (a>((t|l)|l)) | 1 | 1 | 1 | 1 | entailment |
((a&t)|(a&(((~((a&t))>t)|a)>~(l)))) | (~(t)>((((t>t)&l)>(a&a))>a)) | 1 | 1 | 1 | 0 | entailment |
((l|a)>((l&(l&t))|(l|t))) | (~(t)>((((t>t)&l)>(a&a))>a)) | 0 | 0 | 1 | 0 | not entailment |
((a&t)|(a&(((~((a&t))>t)|a)>~(l)))) | (a>((t|l)|l)) | 0 | 1 | 1 | 0 | not entailment |
~(~(t)) | (((a>a)&(l&t))|(~((a&t))>t)) | 1 | 0 | 0 | 0 | entailment |
~(~(~((a>~(l))))) | (((t>t)>(l|a))|l) | 1 | 1 | 0 | 0 | entailment |
~(~(t)) | (((t>t)>(l|a))|l) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((a>~(l))))) | (((a>a)&(l&t))|(~((a&t))>t)) | 0 | 0 | 0 | 0 | not entailment |
((t>a)&(((t>(t>~(l)))|a)&t)) | (a|t) | 1 | 1 | 1 | 1 | entailment |
~((a&(t&(~(((a>l)|a))>(a&a))))) | ~((~(((t&a)>~(t)))&l)) | 1 | 1 | 1 | 1 | entailment |
((t>a)&(((t>(t>~(l)))|a)&t)) | ~((~(((t&a)>~(t)))&l)) | 0 | 1 | 1 | 0 | not entailment |
~((a&(t&(~(((a>l)|a))>(a&a))))) | (a|t) | 0 | 1 | 1 | 0 | not entailment |
(~((t>a))&(a>((l>(a&l))|a))) | (a>l) | 1 | 1 | 1 | 1 | entailment |
((a&((t&l)>t))&(t|l)) | (~(t)|(l>a)) | 1 | 1 | 1 | 1 | entailment |
(~((t>a))&(a>((l>(a&l))|a))) | (~(t)|(l>a)) | 0 | 1 | 1 | 0 | not entailment |
((a&((t&l)>t))&(t|l)) | (a>l) | 0 | 1 | 1 | 0 | not entailment |
((((a>t)>(t>l))|~((t|(t&t))))&(a>l)) | ~(~((((t&t)>l)>((a|l)>(l|t))))) | 1 | 1 | 1 | 0 | entailment |
(((l&t)|(a|t))|a) | (((~(((l&(l|(a&t)))|(l>a)))|t)|a)|t) | 1 | 0 | 1 | 0 | entailment |
((((a>t)>(t>l))|~((t|(t&t))))&(a>l)) | (((~(((l&(l|(a&t)))|(l>a)))|t)|a)|t) | 0 | 1 | 1 | 0 | not entailment |
(((l&t)|(a|t))|a) | ~(~((((t&t)>l)>((a|l)>(l|t))))) | 0 | 0 | 1 | 0 | not entailment |
(t|(t&l)) | ((a>t)|((((~(t)&t)>t)|t)&(t|l))) | 1 | 0 | 0 | 0 | entailment |
~((t&(~((a|a))&(a>a)))) | ((((a>l)|(l&l))&t)>(l&t)) | 1 | 1 | 0 | 0 | entailment |
(t|(t&l)) | ((((a>l)|(l&l))&t)>(l&t)) | 0 | 0 | 0 | 0 | not entailment |
~((t&(~((a|a))&(a>a)))) | ((a>t)|((((~(t)&t)>t)|t)&(t|l))) | 0 | 0 | 0 | 0 | not entailment |
(a&(a&(l&(l|a)))) | ((a&(l&(l|a)))|(t|(l|l))) | 1 | 0 | 0 | 0 | entailment |
~((~((l|t))>(((t|l)&(t|t))|a))) | (~((a|t))&(t>(l>t))) | 1 | 1 | 1 | 0 | entailment |
(a&(a&(l&(l|a)))) | (~((a|t))&(t>(l>t))) | 0 | 0 | 0 | 0 | not entailment |
~((~((l|t))>(((t|l)&(t|t))|a))) | ((a&(l&(l|a)))|(t|(l|l))) | 0 | 1 | 1 | 0 | not entailment |
((a>a)>(~(t)&(~((a|l))|~(t)))) | ~(~(~(~(((l&(t&t))>(l&(l&a))))))) | 1 | 0 | 1 | 0 | entailment |
((a&~(~(~(a))))|~(~(t))) | (~((a|(a|t)))>((a|l)|a)) | 1 | 1 | 0 | 0 | entailment |
((a>a)>(~(t)&(~((a|l))|~(t)))) | (~((a|(a|t)))>((a|l)|a)) | 0 | 1 | 1 | 0 | not entailment |
((a&~(~(~(a))))|~(~(t))) | ~(~(~(~(((l&(t&t))>(l&(l&a))))))) | 0 | 0 | 0 | 0 | not entailment |
(l|(a&a)) | ((t&(t>a))|(l|~(t))) | 1 | 0 | 0 | 0 | entailment |
(~((l|(a>l)))>((a>l)&t)) | (((((t>t)|a)>a)>~(~(l)))|l) | 1 | 0 | 1 | 0 | entailment |
(l|(a&a)) | (((((t>t)|a)>a)>~(~(l)))|l) | 0 | 0 | 0 | 0 | not entailment |
(~((l|(a>l)))>((a>l)&t)) | ((t&(t>a))|(l|~(t))) | 0 | 1 | 1 | 0 | not entailment |
~((((((l>a)>l)>(~(t)|t))&l)>(l&t))) | ((a&~(~(t)))>l) | 1 | 1 | 1 | 0 | entailment |
((t|t)&(a&a)) | ((a|(t&l))&t) | 1 | 1 | 0 | 0 | entailment |
~((((((l>a)>l)>(~(t)|t))&l)>(l&t))) | ((a|(t&l))&t) | 0 | 1 | 1 | 1 | not entailment |
((t|t)&(a&a)) | ((a&~(~(t)))>l) | 0 | 0 | 0 | 0 | not entailment |
(~((((a&a)|t)&l))&(l>l)) | ~((l&(t&a))) | 1 | 1 | 1 | 1 | entailment |
((l&(t&t))&a) | (~(t)|(t>a)) | 1 | 1 | 1 | 0 | entailment |
(~((((a&a)|t)&l))&(l>l)) | (~(t)|(t>a)) | 0 | 1 | 1 | 0 | not entailment |
((l&(t&t))&a) | ~((l&(t&a))) | 0 | 1 | 1 | 0 | not entailment |
(s&(~(i)&n)) | (z|s) | 1 | 1 | 0 | 0 | entailment |
(b&(e&b)) | ((e|y)|(e&i)) | 1 | 0 | 0 | 0 | entailment |
(s&(~(i)&n)) | ((e|y)|(e&i)) | 0 | 1 | 0 | 0 | not entailment |
(b&(e&b)) | (z|s) | 0 | 1 | 0 | 0 | not entailment |
~(((((i&(~(b)>z))|(i|w))&(~(n)&y))>w)) | ~((e&((n&s)&z))) | 1 | 1 | 0 | 0 | entailment |
(u&~(((s&y)&e))) | (~((u|~((i|s))))>~(((i>~(z))&p))) | 1 | 0 | 0 | 0 | entailment |
~(((((i&(~(b)>z))|(i|w))&(~(n)&y))>w)) | (~((u|~((i|s))))>~(((i>~(z))&p))) | 0 | 1 | 0 | 0 | not entailment |
(u&~(((s&y)&e))) | ~((e&((n&s)&z))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(((b&z)>~(((s>~(p))|z)))))&b) | ((i>w)>b) | 1 | 1 | 0 | 0 | entailment |
(((n|p)|e)&(u&w)) | ((((i>i)&u)&(u|s))|(y|p)) | 1 | 0 | 0 | 0 | entailment |
(~(~(((b&z)>~(((s>~(p))|z)))))&b) | ((((i>i)&u)&(u|s))|(y|p)) | 0 | 1 | 0 | 0 | not entailment |
(((n|p)|e)&(u&w)) | ((i>w)>b) | 0 | 1 | 0 | 0 | not entailment |
(b&(u&p)) | (~(((i|s)|i))>(b|z)) | 1 | 0 | 0 | 0 | entailment |
~(((n>b)|(~(~((i>p)))>((n&z)|y)))) | (b>i) | 1 | 1 | 1 | 0 | entailment |
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