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 |
|---|---|---|---|---|---|---|
(i&~(~((c&~(v)))))
|
((v&((r|o)&o))>(q&i))
| 1 | 1 | 0 | 0 |
entailment
|
(((o>o)&(v&x))&(r&q))
|
((x>g)>q)
| 1 | 1 | 0 | 0 |
entailment
|
(i&~(~((c&~(v)))))
|
((x>g)>q)
| 0 | 1 | 0 | 0 |
not entailment
|
(((o>o)&(v&x))&(r&q))
|
((v&((r|o)&o))>(q&i))
| 0 | 1 | 0 | 0 |
not entailment
|
(((a&a)|((a>a)>a))|a)
|
((a>(a&a))>((~((a&a))|a)>a))
| 1 | 0 | 1 | 1 |
entailment
|
~(a)
|
~((a&(a>a)))
| 1 | 0 | 1 | 0 |
entailment
|
(((a&a)|((a>a)>a))|a)
|
~((a&(a>a)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(a)
|
((a>(a&a))>((~((a&a))|a)>a))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(~(~((a|a))))>(((a|a)|((a&a)|a))&a))
|
~(~(a))
| 1 | 1 | 1 | 1 |
entailment
|
(~(a)&(a>(a|~((a|~(a))))))
|
~((a|a))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(~((a|a))))>(((a|a)|((a&a)|a))&a))
|
~((a|a))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(a)&(a>(a|~((a|~(a))))))
|
~(~(a))
| 0 | 1 | 1 | 1 |
not entailment
|
(a&a)
|
(a&a)
| 1 | 1 | 1 | 1 |
entailment
|
(((a>a)&~((~(a)>a)))&~((~(a)&a)))
|
~((~((a|~(a)))|a))
| 1 | 1 | 1 | 1 |
entailment
|
(a&a)
|
~((~((a|~(a)))|a))
| 0 | 0 | 1 | 0 |
not entailment
|
(((a>a)&~((~(a)>a)))&~((~(a)&a)))
|
(a&a)
| 0 | 1 | 1 | 1 |
not entailment
|
((x&y)&~(((h>~(e))|~(f))))
|
(~(~(y))>(f|e))
| 1 | 1 | 1 | 0 |
entailment
|
(l&(l&~(h)))
|
(((x|x)&l)|(p>l))
| 1 | 0 | 0 | 0 |
entailment
|
((x&y)&~(((h>~(e))|~(f))))
|
(((x|x)&l)|(p>l))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&(l&~(h)))
|
(~(~(y))>(f|e))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((~(x)|e)&(((f&y)&x)|(s&x)))))
|
(((l&~(s))|~(e))>x)
| 1 | 1 | 0 | 0 |
entailment
|
~(((l&h)>~((~(y)|s))))
|
(f|h)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((~(x)|e)&(((f&y)&x)|(s&x)))))
|
(f|h)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((l&h)>~((~(y)|s))))
|
(((l&~(s))|~(e))>x)
| 0 | 1 | 0 | 0 |
not entailment
|
((e&h)&(s&(s|y)))
|
((y>((h|l)>s))>s)
| 1 | 1 | 0 | 0 |
entailment
|
~((e|(p|y)))
|
((~(f)&x)>((e|f)>~(l)))
| 1 | 0 | 0 | 0 |
entailment
|
((e&h)&(s&(s|y)))
|
((~(f)&x)>((e|f)>~(l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((e|(p|y)))
|
((y>((h|l)>s))>s)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((h>s)&~(f))))
|
((f&(h>x))>(y>x))
| 1 | 1 | 0 | 0 |
entailment
|
~((((l>(x&h))|e)|((s>s)>(e&e))))
|
(x>l)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((h>s)&~(f))))
|
(x>l)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((l>(x&h))|e)|((s>s)>(e&e))))
|
((f&(h>x))>(y>x))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&p)
|
(~((((s|y)>(y&(f>f)))&(h&(s&(s|h)))))>p)
| 1 | 0 | 0 | 0 |
entailment
|
((x&y)&~(~((s>e))))
|
(x|(s|y))
| 1 | 1 | 1 | 0 |
entailment
|
(e&p)
|
(x|(s|y))
| 0 | 0 | 0 | 0 |
not entailment
|
((x&y)&~(~((s>e))))
|
(~((((s|y)>(y&(f>f)))&(h&(s&(s|h)))))>p)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(p)>p)|(~(~(p))&y))
|
(p|((f|(((s>e)&(h>l))>h))>l))
| 1 | 0 | 0 | 0 |
entailment
|
(~(f)|((h>l)&~(p)))
|
((~(~(p))&f)>(e>~(((e&(p&f))|s))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(p)>p)|(~(~(p))&y))
|
((~(~(p))&f)>(e>~(((e&(p&f))|s))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(f)|((h>l)&~(p)))
|
(p|((f|(((s>e)&(h>l))>h))>l))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((p>e))&(h&((h>l)&(p|~(~(e))))))
|
(~(~(p))|(x&y))
| 1 | 1 | 0 | 0 |
entailment
|
((e|(f>f))>y)
|
~((~((h>(e|(h&((y|f)|e)))))&~(s)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((p>e))&(h&((h>l)&(p|~(~(e))))))
|
~((~((h>(e|(h&((y|f)|e)))))&~(s)))
| 0 | 1 | 0 | 0 |
not entailment
|
((e|(f>f))>y)
|
(~(~(p))|(x&y))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&(f|y))
|
((~((l>(e>~(l))))|l)|(f|(y&h)))
| 1 | 0 | 0 | 0 |
entailment
|
(p&y)
|
(p&(f>p))
| 1 | 0 | 0 | 0 |
entailment
|
(l&(f|y))
|
(p&(f>p))
| 0 | 1 | 0 | 0 |
not entailment
|
(p&y)
|
((~((l>(e>~(l))))|l)|(f|(y&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&(((f>x)>x)&(~(~(x))>e)))
|
(~(((((s>h)>l)|p)>(h|f)))>((e>(s|s))&p))
| 1 | 0 | 0 | 0 |
entailment
|
((~(s)>((p>y)|(l|e)))>s)
|
((p|l)|(s|(~(f)&(~(f)|((h&x)|(l|f))))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&(((f>x)>x)&(~(~(x))>e)))
|
((p|l)|(s|(~(f)&(~(f)|((h&x)|(l|f))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(s)>((p>y)|(l|e)))>s)
|
(~(((((s>h)>l)|p)>(h|f)))>((e>(s|s))&p))
| 0 | 0 | 0 | 0 |
not entailment
|
((l&(p&h))&(~((((l|(e&s))|e)&p))>y))
|
(((~((e|(e&h)))|p)>l)|(f|h))
| 1 | 1 | 0 | 0 |
entailment
|
((e>e)>~(f))
|
((((f&(h>y))|x)>x)|~(s))
| 1 | 0 | 0 | 0 |
entailment
|
((l&(p&h))&(~((((l|(e&s))|e)&p))>y))
|
((((f&(h>y))|x)>x)|~(s))
| 0 | 1 | 0 | 0 |
not entailment
|
((e>e)>~(f))
|
(((~((e|(e&h)))|p)>l)|(f|h))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&((~((l&p))>~(~((e&s))))&~((x&s))))
|
(~((s|(l&l)))|(~((p|p))>y))
| 1 | 1 | 0 | 0 |
entailment
|
~(((e&f)>((x>l)&(h|l))))
|
((f>y)>((h|f)|x))
| 1 | 1 | 0 | 0 |
entailment
|
(p&((~((l&p))>~(~((e&s))))&~((x&s))))
|
((f>y)>((h|f)|x))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((e&f)>((x>l)&(h|l))))
|
(~((s|(l&l)))|(~((p|p))>y))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&~(~(l)))
|
(l|(f&h))
| 1 | 1 | 0 | 0 |
entailment
|
(e&x)
|
(x|(x|e))
| 1 | 0 | 1 | 1 |
entailment
|
(y&~(~(l)))
|
(x|(x|e))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&x)
|
(l|(f&h))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&(e&l))
|
(l|y)
| 1 | 1 | 0 | 0 |
entailment
|
(p&x)
|
(s>(~(f)>~(~(p))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&(e&l))
|
(s>(~(f)>~(~(p))))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&x)
|
(l|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&s)
|
(e|(~(e)>((h|x)|(f&f))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((f>s)>~((l&(p&~(h)))))|h))
|
((p|y)|f)
| 1 | 1 | 0 | 0 |
entailment
|
(h&s)
|
((p|y)|f)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((f>s)>~((l&(p&~(h)))))|h))
|
(e|(~(e)>((h|x)|(f&f))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((l>h)&x)&((~((s|f))>(x>h))>x))
|
((l|h)>((((h|l)|f)|y)&(~(e)|(h|y))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((e>s)))|(h&(s>f))))
|
(((h>e)&((x>l)|~((e>(s&f)))))|~(e))
| 1 | 0 | 0 | 0 |
entailment
|
(((l>h)&x)&((~((s|f))>(x>h))>x))
|
(((h>e)&((x>l)|~((e>(s&f)))))|~(e))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((e>s)))|(h&(s>f))))
|
((l|h)>((((h|l)|f)|y)&(~(e)|(h|y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((v&r)&r)&(n>s))
|
(~((s>~(~((n|r)))))>(~(v)>r))
| 1 | 0 | 1 | 0 |
entailment
|
(~(r)|(s&~(s)))
|
(r>n)
| 1 | 1 | 0 | 0 |
entailment
|
(((v&r)&r)&(n>s))
|
(r>n)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(r)|(s&~(s)))
|
(~((s>~(~((n|r)))))>(~(v)>r))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(r)>n))|~(((v>n)|~(((n|v)>v)))))
|
(~((r&(s&v)))>((r>~(s))|u))
| 1 | 1 | 0 | 0 |
entailment
|
~(v)
|
(s>((s>v)>(r|r)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(r)>n))|~(((v>n)|~(((n|v)>v)))))
|
(s>((s>v)>(r|r)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(v)
|
(~((r&(s&v)))>((r>~(s))|u))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&v)
|
(~(n)>~(((((n|n)|(u|~(n)))>s)>s)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((r&u)>n))
|
((r|~(n))>((s&s)|~((s|n))))
| 1 | 0 | 0 | 0 |
entailment
|
(n&v)
|
((r|~(n))>((s&s)|~((s|n))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r&u)>n))
|
(~(n)>~(((((n|n)|(u|~(n)))>s)>s)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((n>(~(s)&(n&n)))>(~(~(v))>n)))
|
(r|v)
| 1 | 1 | 0 | 0 |
entailment
|
~((s|n))
|
~((~((n|r))&(s&s)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((n>(~(s)&(n&n)))>(~(~(v))>n)))
|
~((~((n|r))&(s&s)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((s|n))
|
(r|v)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(v)>(v&u))&~(s))
|
((((~(u)&(r>u))>v)>r)|(v|v))
| 1 | 0 | 0 | 0 |
entailment
|
(((s&(s&(s|((n>n)|v))))>n)>~(~(u)))
|
((n>(u|u))|r)
| 1 | 1 | 0 | 0 |
entailment
|
((~(v)>(v&u))&~(s))
|
((n>(u|u))|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(((s&(s&(s|((n>n)|v))))>n)>~(~(u)))
|
((((~(u)&(r>u))>v)>r)|(v|v))
| 0 | 1 | 0 | 0 |
not entailment
|
((s>~(n))&r)
|
((u|v)>r)
| 1 | 1 | 0 | 0 |
entailment
|
(u&n)
|
(~(~(((v|~(s))>n)))|((n&u)|(s&s)))
| 1 | 0 | 0 | 0 |
entailment
|
((s>~(n))&r)
|
(~(~(((v|~(s))>n)))|((n&u)|(s&s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&n)
|
((u|v)>r)
| 0 | 0 | 0 | 0 |
not entailment
|
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