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&j) | ((m&m)>~(((((m&j)>w)>a)&(p&m)))) | 0 | 0 | 0 | 0 | not entailment |
~(((m|m)|((((w>m)>w)|j)|(m|(a|w))))) | ((a>(w&(p>w)))>(((m&w)&a)|(((p&j)&w)|j))) | 0 | 0 | 0 | 0 | not entailment |
(~(m)&s) | ((s|s)|w) | 1 | 1 | 0 | 0 | entailment |
(~((((p>(m&s))|w)>s))&((s>m)>~((j|s)))) | (((m|(m|(m>w)))|a)>~(j)) | 1 | 1 | 0 | 0 | entailment |
(~(m)&s) | (((m|(m|(m>w)))|a)>~(j)) | 0 | 0 | 0 | 0 | not entailment |
(~((((p>(m&s))|w)>s))&((s>m)>~((j|s)))) | ((s|s)|w) | 0 | 1 | 1 | 1 | not entailment |
~(o) | ((~(t)&((t&t)>t))>(o>(t|t))) | 1 | 0 | 0 | 0 | entailment |
((t>((o&o)&(o>t)))&(o&(~(t)|(o|t)))) | ((o&~(t))|((o>o)>t)) | 1 | 1 | 1 | 1 | entailment |
~(o) | ((o&~(t))|((o>o)>t)) | 0 | 0 | 0 | 0 | not entailment |
((t>((o&o)&(o>t)))&(o&(~(t)|(o|t)))) | ((~(t)&((t&t)>t))>(o>(t|t))) | 0 | 1 | 1 | 1 | not entailment |
((~((t&o))&((t>o)|t))>t) | ((t&(t|(((o|t)|(o&t))&((t&t)|(o&t)))))&t) | 1 | 0 | 1 | 1 | entailment |
~(~(~((o|t)))) | (t>o) | 1 | 1 | 1 | 0 | entailment |
((~((t&o))&((t>o)|t))>t) | (t>o) | 0 | 1 | 1 | 1 | not entailment |
~(~(~((o|t)))) | ((t&(t|(((o|t)|(o&t))&((t&t)|(o&t)))))&t) | 0 | 0 | 1 | 0 | not entailment |
(o&(t|t)) | (((~(t)|o)|t)&(o&(t&o))) | 1 | 0 | 1 | 0 | entailment |
((~((t>o))|((o>(o&o))>o))&~((o|o))) | (t&~((o|o))) | 1 | 1 | 1 | 1 | entailment |
(o&(t|t)) | (t&~((o|o))) | 0 | 0 | 1 | 0 | not entailment |
((~((t>o))|((o>(o&o))>o))&~((o|o))) | (((~(t)|o)|t)&(o&(t&o))) | 0 | 1 | 1 | 0 | not entailment |
(((o|(t>o))&t)&(((~(t)|t)>o)&(o|o))) | (o&t) | 1 | 1 | 1 | 1 | entailment |
~(o) | (o>(o&(o&~(o)))) | 1 | 0 | 1 | 0 | entailment |
(((o|(t>o))&t)&(((~(t)|t)>o)&(o|o))) | (o>(o&(o&~(o)))) | 0 | 1 | 1 | 0 | not entailment |
~(o) | (o&t) | 0 | 1 | 0 | 0 | not entailment |
((~(~((t|t)))|(t|(t&o)))&(o>~(o))) | (t|(o&o)) | 1 | 1 | 1 | 1 | entailment |
((o|t)>(o&o)) | ~(~((t>o))) | 1 | 1 | 1 | 1 | entailment |
((~(~((t|t)))|(t|(t&o)))&(o>~(o))) | ~(~((t>o))) | 0 | 1 | 1 | 0 | not entailment |
((o|t)>(o&o)) | (t|(o&o)) | 0 | 1 | 1 | 0 | not entailment |
~(t) | ((t>(o&t))>~(t)) | 1 | 0 | 0 | 0 | entailment |
(o&t) | ((t>(o&t))>~(t)) | 0 | 0 | 1 | 0 | not entailment |
~(t) | (o|t) | 0 | 1 | 0 | 0 | not entailment |
(o&t) | (o|(~(((t>t)>(o&t)))&(t|o))) | 1 | 0 | 1 | 0 | entailment |
(((~(t)|t)&~(t))|~(o)) | ~((~((~(~(o))>~((o|t))))&(t&(o&t)))) | 1 | 0 | 1 | 1 | entailment |
(o&t) | ~((~((~(~(o))>~((o|t))))&(t&(o&t)))) | 0 | 0 | 1 | 0 | not entailment |
(((~(t)|t)&~(t))|~(o)) | (o|(~(((t>t)>(o&t)))&(t|o))) | 0 | 0 | 1 | 0 | not entailment |
(t>(o&o)) | (t>o) | 1 | 1 | 1 | 1 | entailment |
((~((~(t)>t))&(o>~(t)))>(t|~(o))) | ((o&(o|o))>t) | 1 | 1 | 1 | 1 | entailment |
(t>(o&o)) | ((o&(o|o))>t) | 0 | 0 | 1 | 0 | not entailment |
((~((~(t)>t))&(o>~(t)))>(t|~(o))) | (t>o) | 0 | 1 | 1 | 0 | not entailment |
((~((x>~(x)))&(u&a))&(s>(c&u))) | ((~(x)>~(c))|(c&(u&y))) | 1 | 1 | 0 | 0 | entailment |
((c&p)&y) | ~(~((s|p))) | 1 | 0 | 0 | 0 | entailment |
((~((x>~(x)))&(u&a))&(s>(c&u))) | ~(~((s|p))) | 0 | 1 | 0 | 0 | not entailment |
((c&p)&y) | ((~(x)>~(c))|(c&(u&y))) | 0 | 0 | 0 | 0 | not entailment |
(u&s) | ~(((((v|a)&y)&~(p))&~(u))) | 1 | 0 | 0 | 0 | entailment |
((((x|p)&((u&p)|u))>s)&(x&(c|(~(c)|s)))) | ((y|v)>x) | 1 | 1 | 0 | 0 | entailment |
(u&s) | ((y|v)>x) | 0 | 0 | 0 | 0 | not entailment |
((((x|p)&((u&p)|u))>s)&(x&(c|(~(c)|s)))) | ~(((((v|a)&y)&~(p))&~(u))) | 0 | 1 | 0 | 0 | not entailment |
((x&u)&a) | (y>(p>u)) | 1 | 1 | 0 | 0 | entailment |
(((v&(p>u))>c)&(p&s)) | (c|(s&p)) | 1 | 1 | 1 | 1 | entailment |
((x&u)&a) | (c|(s&p)) | 0 | 1 | 0 | 0 | not entailment |
(((v&(p>u))>c)&(p&s)) | (y>(p>u)) | 0 | 1 | 0 | 0 | not entailment |
~(((y&a)>(p&(~(y)>y)))) | (((y>c)&a)|((((s>v)|u)>(y>a))|(~(v)&x))) | 1 | 0 | 0 | 0 | entailment |
~((~(~(~((s>u))))>~(c))) | ((~(((v>y)|(u|c)))|s)|(s&p)) | 1 | 1 | 0 | 0 | entailment |
~(((y&a)>(p&(~(y)>y)))) | ((~(((v>y)|(u|c)))|s)|(s&p)) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(~((s>u))))>~(c))) | (((y>c)&a)|((((s>v)|u)>(y>a))|(~(v)&x))) | 0 | 0 | 0 | 0 | not entailment |
~(~(c)) | (~((((p>a)|c)&c))>(p&x)) | 1 | 0 | 0 | 0 | entailment |
(((v>a)>((~(x)>s)|u))&(~(s)&p)) | (~(((v>y)>(y|(a&p))))>p) | 1 | 1 | 0 | 0 | entailment |
~(~(c)) | (~(((v>y)>(y|(a&p))))>p) | 0 | 0 | 0 | 0 | not entailment |
(((v>a)>((~(x)>s)|u))&(~(s)&p)) | (~((((p>a)|c)&c))>(p&x)) | 0 | 1 | 0 | 0 | not entailment |
~(~((x&((~(y)>p)&x)))) | ((y>(s>c))|((~(u)|(x|v))&(x|v))) | 1 | 0 | 0 | 0 | entailment |
((~(((y&p)|(((s>v)>s)>a)))&s)|~((a>c))) | ((y|(x>((v>a)&a)))|((y|c)>(~(a)&s))) | 1 | 1 | 0 | 0 | entailment |
~(~((x&((~(y)>p)&x)))) | ((y|(x>((v>a)&a)))|((y|c)>(~(a)&s))) | 0 | 0 | 0 | 0 | not entailment |
((~(((y&p)|(((s>v)>s)>a)))&s)|~((a>c))) | ((y>(s>c))|((~(u)|(x|v))&(x|v))) | 0 | 1 | 0 | 0 | not entailment |
(u&a) | ~(~((~(~((v&(~((p|x))>~(s)))))>a))) | 1 | 0 | 0 | 0 | entailment |
(p&s) | ((a|(~((c|s))>(~(v)&x)))&p) | 1 | 0 | 0 | 0 | entailment |
(u&a) | ((a|(~((c|s))>(~(v)&x)))&p) | 0 | 0 | 0 | 0 | not entailment |
(p&s) | ~(~((~(~((v&(~((p|x))>~(s)))))>a))) | 0 | 0 | 0 | 0 | not entailment |
((((p|c)&u)|((((c&y)|v)&v)|~(s)))&(x|x)) | ~(((y>y)>~(x))) | 1 | 1 | 1 | 0 | entailment |
(~(~(y))>(a&~(a))) | (((((v&c)&y)&(~(a)|s))&x)>a) | 1 | 0 | 0 | 0 | entailment |
((((p|c)&u)|((((c&y)|v)&v)|~(s)))&(x|x)) | (((((v&c)&y)&(~(a)|s))&x)>a) | 0 | 1 | 0 | 0 | not entailment |
(~(~(y))>(a&~(a))) | ~(((y>y)>~(x))) | 0 | 1 | 0 | 0 | not entailment |
(a&(s>a)) | ((~(~(c))|(x>a))|(p&v)) | 1 | 0 | 0 | 0 | entailment |
(((x&y)&u)&~(((~(c)&v)>((s&u)&(a>s))))) | ((~(x)|p)|((u>x)>v)) | 1 | 1 | 0 | 0 | entailment |
(a&(s>a)) | ((~(x)|p)|((u>x)>v)) | 0 | 0 | 0 | 0 | not entailment |
(((x&y)&u)&~(((~(c)&v)>((s&u)&(a>s))))) | ((~(~(c))|(x>a))|(p&v)) | 0 | 1 | 0 | 0 | not entailment |
~(((u&(a&u))>p)) | (c>(c&u)) | 1 | 1 | 0 | 0 | entailment |
(((x>c)>v)&~(~(((p|c)|(c>(y>u)))))) | (~(v)>x) | 1 | 1 | 1 | 1 | entailment |
~(((u&(a&u))>p)) | (~(v)>x) | 0 | 1 | 0 | 0 | not entailment |
(((x>c)>v)&~(~(((p|c)|(c>(y>u)))))) | (c>(c&u)) | 0 | 1 | 1 | 1 | not entailment |
((~(~((p&s)))&~(~(~(~(u)))))&u) | (p|(c&v)) | 1 | 1 | 0 | 0 | entailment |
(a&(~(v)|(u&v))) | (((((c>s)&y)>~(a))|(u>y))>((u&c)>a)) | 1 | 0 | 0 | 0 | entailment |
((~(~((p&s)))&~(~(~(~(u)))))&u) | (((((c>s)&y)>~(a))|(u>y))>((u&c)>a)) | 0 | 1 | 0 | 0 | not entailment |
(a&(~(v)|(u&v))) | (p|(c&v)) | 0 | 1 | 0 | 0 | not entailment |
~(((p>~(p))|c)) | (a|p) | 1 | 1 | 0 | 0 | entailment |
(~(p)&~(~((a>~(u))))) | ~((~(~((x|p)))&((x>v)&~(((y>y)&x))))) | 1 | 0 | 0 | 0 | entailment |
~(((p>~(p))|c)) | ~((~(~((x|p)))&((x>v)&~(((y>y)&x))))) | 0 | 0 | 0 | 0 | not entailment |
(~(p)&~(~((a>~(u))))) | (a|p) | 0 | 1 | 1 | 0 | not entailment |
~(~(x)) | (((x&a)|v)>x) | 1 | 0 | 0 | 0 | entailment |
~(~((a|((((c&u)&a)>u)>(s>a))))) | ((x>(p>a))|(s>(~(~(((s&c)&x)))&(a&c)))) | 1 | 0 | 0 | 0 | entailment |
~(~(x)) | ((x>(p>a))|(s>(~(~(((s&c)&x)))&(a&c)))) | 0 | 0 | 0 | 0 | not entailment |
~(~((a|((((c&u)&a)>u)>(s>a))))) | (((x&a)|v)>x) | 0 | 1 | 0 | 0 | not entailment |
(~(((s>p)>v))&~(((p&p)&((p|a)&p)))) | ~((p&((p|s)&~(a)))) | 1 | 1 | 1 | 0 | entailment |
(~(s)&~((~(a)>~((y|(u|p)))))) | (~((y&(x|(v|y))))>(~(a)&((u&a)>~(p)))) | 1 | 0 | 0 | 0 | entailment |
(~(((s>p)>v))&~(((p&p)&((p|a)&p)))) | (~((y&(x|(v|y))))>(~(a)&((u&a)>~(p)))) | 0 | 0 | 0 | 0 | not entailment |
(~(s)&~((~(a)>~((y|(u|p)))))) | ~((p&((p|s)&~(a)))) | 0 | 1 | 1 | 0 | not entailment |
~(((~((c&(v|a)))|c)>((s&~(c))>u))) | (((((v|~(v))|u)|~(p))>(c&v))>(x&v)) | 1 | 1 | 0 | 0 | entailment |
((a|~(a))>(v&(s>(y|x)))) | (((~((p>a))|s)|(v>p))>(y>v)) | 1 | 0 | 0 | 0 | entailment |
~(((~((c&(v|a)))|c)>((s&~(c))>u))) | (((~((p>a))|s)|(v>p))>(y>v)) | 0 | 1 | 0 | 0 | not entailment |
((a|~(a))>(v&(s>(y|x)))) | (((((v|~(v))|u)|~(p))>(c&v))>(x&v)) | 0 | 0 | 0 | 0 | not entailment |
(c&((~(p)|(c&p))&~(~((y>(y|y)))))) | (x|c) | 1 | 1 | 0 | 0 | entailment |
(v&u) | (((((x>y)>u)>s)|~(c))|u) | 1 | 0 | 0 | 0 | entailment |
(c&((~(p)|(c&p))&~(~((y>(y|y)))))) | (((((x>y)>u)>s)|~(c))|u) | 0 | 1 | 0 | 0 | not entailment |
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