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
(m&~((m&j)))
((m>a)|a)
0
1
0
0
not entailment
~(~((~(m)&(o|~(j)))))
~(j)
0
1
1
1
not entailment
~((u|m))
(((m&k)&k)>((o&j)>v))
1
0
0
0
entailment
(((m|((a|j)|o))&j)&(v>a))
~(~(((((j&~(j))&o)&a)|(j|~(k)))))
1
0
0
0
entailment
~((u|m))
~(~(((((j&~(j))&o)&a)|(j|~(k)))))
0
0
0
0
not entailment
(((m|((a|j)|o))&j)&(v>a))
(((m&k)&k)>((o&j)>v))
0
1
0
0
not entailment
((~(m)|(u|(u|v)))&~((((j&~(m))|o)&o)))
~(~(((((a>a)|j)&o)>((k&j)>a))))
1
1
0
0
entailment
~((v>u))
(u>(o|v))
1
1
0
0
entailment
((~(m)|(u|(u|v)))&~((((j&~(m))|o)&o)))
(u>(o|v))
0
1
1
0
not entailment
~((v>u))
~(~(((((a>a)|j)&o)>((k&j)>a))))
0
0
0
0
not entailment
~((j|m))
(~(((o&j)|u))>(o>(m>k)))
1
0
0
0
entailment
(o&((u&((u>(u&a))>((o|(u&k))&v)))|o))
(v|(o|~(k)))
1
1
1
0
entailment
~((j|m))
(v|(o|~(k)))
0
0
0
0
not entailment
(o&((u&((u>(u&a))>((o|(u&k))&v)))|o))
(~(((o&j)|u))>(o>(m>k)))
0
1
0
0
not entailment
~((k|(u>v)))
(((k&a)>(v&o))|(~(k)|~(u)))
1
0
0
0
entailment
((a&m)|k)
((o|o)|((j|((j>a)>k))|m))
1
0
0
0
entailment
~((k|(u>v)))
((o|o)|((j|((j>a)>k))|m))
0
0
0
0
not entailment
((a&m)|k)
(((k&a)>(v&o))|(~(k)|~(u)))
0
0
0
0
not entailment
(j&u)
((m&(k>a))|j)
1
0
0
0
entailment
~((~(~(o))>(v|u)))
(((k|(u>(u>(u|k))))|(k>(k>v)))&(v>(j&m)))
1
0
0
0
entailment
(j&u)
(((k|(u>(u>(u|k))))|(k>(k>v)))&(v>(j&m)))
0
0
0
0
not entailment
~((~(~(o))>(v|u)))
((m&(k>a))|j)
0
1
0
0
not entailment
(((~(p)>(((y&(o&o))&(w&x))&p))&a)&x)
(((t>d)|(w|~(~((y|a)))))|~(o))
1
1
0
0
entailment
((p&(~((o&((t|y)>t)))>((p|o)>~(n))))&n)
(y>(~(y)|t))
1
1
1
1
entailment
(((~(p)>(((y&(o&o))&(w&x))&p))&a)&x)
(y>(~(y)|t))
0
1
0
0
not entailment
((p&(~((o&((t|y)>t)))>((p|o)>~(n))))&n)
(((t>d)|(w|~(~((y|a)))))|~(o))
0
1
0
0
not entailment
(~(((((~(p)>a)>y)&t)|p))&n)
(~(((t|d)&((((n>n)&r)&x)&p)))|(t>(o>d)))
1
0
0
0
entailment
(p&y)
(y>(~((r&t))>p))
1
0
0
0
entailment
(~(((((~(p)>a)>y)&t)|p))&n)
(y>(~((r&t))>p))
0
1
0
0
not entailment
(p&y)
(~(((t|d)&((((n>n)&r)&x)&p)))|(t>(o>d)))
0
0
0
0
not entailment
~(((r|((n>r)>~((y>w))))>~(~((d|p)))))
~((~((w&(o>t)))&(p|d)))
1
1
0
0
entailment
(d&((t&(y&(a|(x>p))))&p))
(a|d)
1
1
1
1
entailment
~(((r|((n>r)>~((y>w))))>~(~((d|p)))))
(a|d)
0
1
0
0
not entailment
(d&((t&(y&(a|(x>p))))&p))
~((~((w&(o>t)))&(p|d)))
0
1
0
0
not entailment
(w&((o&a)&t))
(w|a)
1
1
1
1
entailment
~(~(((n>~(~(d)))>(d&(w&(p&n))))))
(t>(n|x))
1
1
0
0
entailment
(w&((o&a)&t))
(t>(n|x))
0
1
0
0
not entailment
~(~(((n>~(~(d)))>(d&(w&(p&n))))))
(w|a)
0
1
0
0
not entailment
(y&(d|(~(n)|(a>x))))
~(~(((y|o)|((n>(p&r))|(w|y)))))
1
0
0
0
entailment
((o>t)>p)
(t>(((t&y)&~((o>(~(r)|p))))>(d>n)))
1
0
0
0
entailment
(y&(d|(~(n)|(a>x))))
(t>(((t&y)&~((o>(~(r)|p))))>(d>n)))
0
0
0
0
not entailment
((o>t)>p)
~(~(((y|o)|((n>(p&r))|(w|y)))))
0
0
0
0
not entailment
(a&((n&~(r))|((o&(w&t))>(o|w))))
(y>(y&(r>a)))
1
1
0
0
entailment
(~((x|(((r&n)&t)|t)))&n)
~(~(n))
1
1
1
1
entailment
(a&((n&~(r))|((o&(w&t))>(o|w))))
~(~(n))
0
1
1
1
not entailment
(~((x|(((r&n)&t)|t)))&n)
(y>(y&(r>a)))
0
1
0
0
not entailment
(~(((x|((o>t)|w))|((w>o)&(o>t))))&o)
(~(~(((n&t)>~(n))))&(((o&x)>r)|~(r)))
1
0
0
0
entailment
~(((d|r)|(a|~((y|o)))))
(((p&n)&r)>a)
1
1
0
0
entailment
(~(((x|((o>t)|w))|((w>o)&(o>t))))&o)
(((p&n)&r)>a)
0
1
0
0
not entailment
~(((d|r)|(a|~((y|o)))))
(~(~(((n&t)>~(n))))&(((o&x)>r)|~(r)))
0
0
0
0
not entailment
((r&y)&(~((p|~(p)))|n))
~(~((x>(((o>x)&n)&y))))
1
1
0
0
entailment
~(~((d&(a&p))))
((d|(~((n&p))|p))&((n>(w|(y|n)))>(p|x)))
1
0
0
0
entailment
((r&y)&(~((p|~(p)))|n))
((d|(~((n&p))|p))&((n>(w|(y|n)))>(p|x)))
0
0
0
0
not entailment
~(~((d&(a&p))))
~(~((x>(((o>x)&n)&y))))
0
0
0
0
not entailment
(~((p>(t&(o&o))))&(x&y))
(w|y)
1
1
0
0
entailment
(a&o)
((t&(w&t))|a)
1
0
0
0
entailment
(~((p>(t&(o&o))))&(x&y))
((t&(w&t))|a)
0
1
0
0
not entailment
(a&o)
(w|y)
0
1
0
0
not entailment
~((((y&n)|o)>(o|a)))
(o>(n&~(n)))
1
1
1
0
entailment
(((a|y)&a)|((n&((y>n)&a))&(p>p)))
(w|(a|~(y)))
1
1
0
0
entailment
~((((y&n)|o)>(o|a)))
(w|(a|~(y)))
0
1
0
0
not entailment
(((a|y)&a)|((n&((y>n)&a))&(p>p)))
(o>(n&~(n)))
0
1
0
0
not entailment
((t>a)&((w&a)&(p>y)))
((n|(r&d))|((o>((a>o)&y))>(t>(r|(x>w)))))
1
0
0
0
entailment
(((y&t)&a)&(y>o))
(t|((t|a)&y))
1
1
1
1
entailment
((t>a)&((w&a)&(p>y)))
(t|((t|a)&y))
0
1
1
0
not entailment
(((y&t)&a)&(y>o))
((n|(r&d))|((o>((a>o)&y))>(t>(r|(x>w)))))
0
0
0
0
not entailment
((~(~(w))>(t>y))>w)
((~((x&(y&o)))|t)>((w>d)>w))
1
0
0
0
entailment
(~(((r&(r|y))|~(p)))|p)
((y>(n&a))>((o>~(r))|p))
1
1
0
0
entailment
((~(~(w))>(t>y))>w)
((y>(n&a))>((o>~(r))|p))
0
0
0
0
not entailment
(~(((r&(r|y))|~(p)))|p)
((~((x&(y&o)))|t)>((w>d)>w))
0
0
0
0
not entailment
(~(r)&x)
(((r&d)>~((n&~((t>w)))))|(a|y))
1
0
0
0
entailment
((x|o)&o)
(o|(a|p))
1
1
0
0
entailment
(~(r)&x)
(o|(a|p))
0
1
0
0
not entailment
((x|o)&o)
(((r&d)>~((n&~((t>w)))))|(a|y))
0
0
0
0
not entailment
(((t|~(o))&~((y>x)))&(((p|y)&y)&(n>d)))
(t>y)
1
1
1
0
entailment
((a&w)&d)
~(~(~((d>~((w&a))))))
1
0
1
1
entailment
(((t|~(o))&~((y>x)))&(((p|y)&y)&(n>d)))
~(~(~((d>~((w&a))))))
0
1
0
0
not entailment
((a&w)&d)
(t>y)
0
1
0
0
not entailment
(y&~(((w>n)|d)))
((x|(r>p))>w)
1
1
0
0
entailment
(r&(~(r)|(y>(x|t))))
(p>r)
1
1
0
0
entailment
(y&~(((w>n)|d)))
(p>r)
0
1
0
0
not entailment
(r&(~(r)|(y>(x|t))))
((x|(r>p))>w)
0
1
0
0
not entailment
~(a)
((((t|~(r))|d)&~(~(a)))>~(p))
1
0
0
0
entailment
(x&p)
(d>(((x|(n&w))|w)&(x|d)))
1
0
0
0
entailment
~(a)
(d>(((x|(n&w))|w)&(x|d)))
0
0
0
0
not entailment
(x&p)
((((t|~(r))|d)&~(~(a)))>~(p))
0
0
0
0
not entailment
(~(~(~(((r|d)|w))))&(~(a)|x))
(n>~(~(~((w|(d|((r|d)|r)))))))
1
1
0
0
entailment
((w&t)&(((w&a)>((x&x)|~(x)))|(~(t)|d)))
(~((x>w))>((~(o)&~(d))|r))
1
1
0
0
entailment
(~(~(~(((r|d)|w))))&(~(a)|x))
(~((x>w))>((~(o)&~(d))|r))
0
1
0
0
not entailment
((w&t)&(((w&a)>((x&x)|~(x)))|(~(t)|d)))
(n>~(~(~((w|(d|((r|d)|r)))))))
0
1
0
0
not entailment
(((x&n)|w)&((x>d)>~(((~(w)>a)|o))))
(((o>t)>p)>(((t|(p>a))&(d&n))>x))
1
1
0
0
entailment
(~((((y&p)>(o&y))|(w|x)))&(d>(n|r)))
(p|a)
1
1
0
0
entailment
(((x&n)|w)&((x>d)>~(((~(w)>a)|o))))
(p|a)
0
1
0
0
not entailment
(~((((y&p)>(o&y))|(w|x)))&(d>(n|r)))
(((o>t)>p)>(((t|(p>a))&(d&n))>x))
0
1
0
0
not entailment
((x&t)&(((a>(t>p))&y)|(x&w)))
(n|t)
1
1
0
0
entailment
~((w|t))
((y|~(((a|a)>o)))|(~((y|w))&~(w)))
1
0
0
0
entailment
((x&t)&(((a>(t>p))&y)|(x&w)))
((y|~(((a|a)>o)))|(~((y|w))&~(w)))
0
0
0
0
not entailment
~((w|t))
(n|t)
0
1
0
0
not entailment
(((p&d)&~(~(y)))&((x&(a&t))&((y|n)>d)))
(((d|n)&d)|(n|o))
1
1
0
0
entailment
(w&p)
((~(((y>(p>y))&a))>(a&y))>w)
1
0
0
0
entailment