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
((x&w)&w)
(m>x)
1
1
0
0
entailment
((m|(m&w))&w)
~(~(m))
1
1
1
1
entailment
((x&w)&w)
~(~(m))
0
1
0
0
not entailment
((m|(m&w))&w)
(m>x)
0
1
0
0
not entailment
((~((x|(m|~((m|x)))))|w)&~(~((x&w))))
(((w|x)&(x|x))|(m&m))
1
1
1
1
entailment
((((w>~((m&x)))|(x|x))>m)|~(((x>m)>m)))
(x>m)
1
1
1
1
entailment
((~((x|(m|~((m|x)))))|w)&~(~((x&w))))
(x>m)
0
1
1
1
not entailment
((((w>~((m&x)))|(x|x))>m)|~(((x>m)>m)))
(((w|x)&(x|x))|(m&m))
0
1
1
1
not entailment
(w&(m&w))
((m>(w>w))>m)
1
0
1
0
entailment
(~(m)&((m>m)&(m>m)))
~(m)
1
1
1
1
entailment
(w&(m&w))
~(m)
0
1
1
0
not entailment
(~(m)&((m>m)&(m>m)))
((m>(w>w))>m)
0
1
0
0
not entailment
(((x&~(m))>((x|w)|w))>((m|m)&w))
(~(w)>((m&(w>w))|(w&x)))
1
1
1
1
entailment
(x&(((x>m)|~(~((x|m))))&~(~((x|x)))))
(((x|x)|(x|x))&x)
1
1
1
1
entailment
(((x&~(m))>((x|w)|w))>((m|m)&w))
(((x|x)|(x|x))&x)
0
1
1
1
not entailment
(x&(((x>m)|~(~((x|m))))&~(~((x|x)))))
(~(w)>((m&(w>w))|(w&x)))
0
1
0
0
not entailment
(((x>(m&w))|((x>(x&w))>(~(x)&w)))&x)
(~((((w|x)|w)>~(m)))|x)
1
1
1
1
entailment
((~(~(~(w)))>~((x&x)))&w)
(((m|x)|x)>(x>w))
1
1
0
0
entailment
(((x>(m&w))|((x>(x&w))>(~(x)&w)))&x)
(((m|x)|x)>(x>w))
0
1
1
0
not entailment
((~(~(~(w)))>~((x&x)))&w)
(~((((w|x)|w)>~(m)))|x)
0
1
0
0
not entailment
(m&w)
(w|((x>x)>w))
1
0
0
0
entailment
(m&x)
((x&x)|x)
1
0
1
1
entailment
(m&w)
((x&x)|x)
0
0
0
0
not entailment
(m&x)
(w|((x>x)>w))
0
0
0
0
not entailment
((x|x)&m)
(m|(w&(~((w>m))>((x>w)|x))))
1
0
0
0
entailment
~((m|~(~(x))))
(m>((x|(w>m))>~(w)))
1
0
0
0
entailment
((x|x)&m)
(m>((x|(w>m))>~(w)))
0
0
0
0
not entailment
~((m|~(~(x))))
(m|(w&(~((w>m))>((x>w)|x))))
0
0
0
0
not entailment
(w&(x&m))
(~((m&(m|(((m|w)|w)>x))))|x)
1
0
1
0
entailment
(~(((m&x)|~(w)))&(m|~(w)))
((w&~(x))&w)
1
1
1
1
entailment
(w&(x&m))
((w&~(x))&w)
0
0
1
0
not entailment
(~(((m&x)|~(w)))&(m|~(w)))
(~((m&(m|(((m|w)|w)>x))))|x)
0
1
1
0
not entailment
(((x|(w>(m>m)))|(x&(m>x)))>(m&w))
((m&(x>w))|w)
1
1
1
1
entailment
~(((m>x)>((m|(w>m))>(m&((w>x)&~(w))))))
(((x|x)|x)|~(m))
1
1
1
1
entailment
(((x|(w>(m>m)))|(x&(m>x)))>(m&w))
(((x|x)|x)|~(m))
0
1
1
0
not entailment
~(((m>x)>((m|(w>m))>(m&((w>x)&~(w))))))
((m&(x>w))|w)
0
1
1
1
not entailment
~((~((x>m))>~(x)))
(~(x)>((w|x)&(m>m)))
1
1
0
0
entailment
~(((((x&x)&(x&m))|m)|w))
~(w)
1
1
1
1
entailment
~((~((x>m))>~(x)))
~(w)
0
1
0
0
not entailment
~(((((x&x)&(x&m))|m)|w))
(~(x)>((w|x)&(m>m)))
0
1
1
0
not entailment
((m&x)&w)
(~((x&w))|m)
1
0
1
0
entailment
(~(~((w>~(~((m>m))))))&(m>(~(x)&x)))
~((m&w))
1
1
1
1
entailment
((m&x)&w)
~((m&w))
0
1
1
0
not entailment
(~(~((w>~(~((m>m))))))&(m>(~(x)&x)))
(~((x&w))|m)
0
1
1
1
not entailment
((w&(w|w))&~((m&m)))
((~((w&w))&w)|(~(((m|m)|(x|(w&x))))|w))
1
0
0
0
entailment
(w>~((~(m)|x)))
(w>m)
1
1
1
1
entailment
((w&(w|w))&~((m&m)))
(w>m)
0
1
1
0
not entailment
(w>~((~(m)|x)))
((~((w&w))&w)|(~(((m|m)|(x|(w&x))))|w))
0
0
1
0
not entailment
~((x>~((~(((m|m)>w))>w))))
(x|w)
1
1
1
1
entailment
((~(w)>(((w>~(x))&m)&m))&((w|m)|w))
(~(m)>(w&w))
1
1
1
1
entailment
~((x>~((~(((m|m)>w))>w))))
(~(m)>(w&w))
0
1
1
0
not entailment
((~(w)>(((w>~(x))&m)&m))&((w|m)|w))
(x|w)
0
1
1
0
not entailment
(w|~((m>m)))
((x|(w>w))>((x&w)|~(x)))
1
0
0
0
entailment
(m|m)
(x|m)
1
1
0
0
entailment
(w|~((m>m)))
(x|m)
0
1
0
0
not entailment
(m|m)
((x|(w>w))>((x&w)|~(x)))
0
0
0
0
not entailment
(((~(x)&m)&(x|m))&(m|(~(((m&m)>m))|x)))
(x>(~(x)&(m>m)))
1
1
1
1
entailment
(~((m&(m>x)))>((~((x>x))&x)&((w>x)|m)))
(x|(m&w))
1
1
1
0
entailment
(((~(x)&m)&(x|m))&(m|(~(((m&m)>m))|x)))
(x|(m&w))
0
1
0
0
not entailment
(~((m&(m>x)))>((~((x>x))&x)&((w>x)|m)))
(x>(~(x)&(m>m)))
0
1
1
1
not entailment
~(~(((x|(w&x))>w)))
~((~(w)&x))
1
1
1
1
entailment
((x|x)&(x>m))
(((w|m)|(x&(m&~(m))))|m)
1
0
0
0
entailment
~(~(((x|(w&x))>w)))
(((w|m)|(x&(m&~(m))))|m)
0
0
0
0
not entailment
((x|x)&(x>m))
~((~(w)&x))
0
1
0
0
not entailment
~(((((m>x)|x)|((x>m)|m))&(x|w)))
((x&(w>w))>((x>~(~((x|x))))&(w&m)))
1
0
1
0
entailment
((x|~(w))&(w|w))
~(~(x))
1
1
1
1
entailment
~(((((m>x)|x)|((x>m)|m))&(x|w)))
~(~(x))
0
1
1
1
not entailment
((x|~(w))&(w|w))
((x&(w>w))>((x>~(~((x|x))))&(w&m)))
0
0
0
0
not entailment
((m|~((w|(w&m))))&((m|m)>(w&~(w))))
(w>m)
1
1
1
1
entailment
((((m&x)|x)&(~(w)|(x|((x|(w&m))>x))))&x)
(x&~(~(x)))
1
1
1
1
entailment
((m|~((w|(w&m))))&((m|m)>(w&~(w))))
(x&~(~(x)))
0
1
0
0
not entailment
((((m&x)|x)&(~(w)|(x|((x|(w&m))>x))))&x)
(w>m)
0
1
1
1
not entailment
((m>o)>m)
((((t>t)>~(m))&o)>((t|t)&~(y)))
1
0
0
0
entailment
(((y>t)&(o>y))&((y&(o|y))&(y|y)))
(t|(o>((m|m)>y)))
1
1
0
0
entailment
((m>o)>m)
(t|(o>((m|m)>y)))
0
0
0
0
not entailment
(((y>t)&(o>y))&((y&(o|y))&(y|y)))
((((t>t)>~(m))&o)>((t|t)&~(y)))
0
1
0
0
not entailment
((m&y)&(m>(y|m)))
((o|((t>(y&m))>(m&~((o&(m&o))))))>(m>y))
1
0
0
0
entailment
(o&m)
~(((m>o)>~(((m&t)>((t>m)|(t|o))))))
1
0
0
0
entailment
((m&y)&(m>(y|m)))
~(((m>o)>~(((m&t)>((t>m)|(t|o))))))
0
0
0
0
not entailment
(o&m)
((o|((t>(y&m))>(m&~((o&(m&o))))))>(m>y))
0
0
0
0
not entailment
~(~(((y&(y>o))&(o|m))))
(((o|y)>o)|t)
1
1
0
0
entailment
((o|((m&(y|o))|y))&m)
(((o&(y&t))|m)&(((o|o)>y)|o))
1
0
0
0
entailment
~(~(((y&(y>o))&(o|m))))
(((o&(y&t))|m)&(((o|o)>y)|o))
0
0
0
0
not entailment
((o|((m&(y|o))|y))&m)
(((o|y)>o)|t)
0
1
0
0
not entailment
~(~(((y&o)&(o>~(t)))))
((o|o)>y)
1
1
1
1
entailment
(((~((t|y))>y)&~(~(o)))&(m&(y>m)))
((m&m)|(m&(m>~((t&y)))))
1
1
1
0
entailment
~(~(((y&o)&(o>~(t)))))
((m&m)|(m&(m>~((t&y)))))
0
1
0
0
not entailment
(((~((t|y))>y)&~(~(o)))&(m&(y>m)))
((o|o)>y)
0
1
1
0
not entailment
~(((~(~(m))>t)|o))
((((o&m)|y)>(~((o|m))>m))|o)
1
0
0
0
entailment
((~((t>t))|~(~(t)))&y)
~((~((t|y))|~((y|(~((y>(m&t)))&y)))))
1
0
0
0
entailment
~(((~(~(m))>t)|o))
~((~((t|y))|~((y|(~((y>(m&t)))&y)))))
0
0
0
0
not entailment
((~((t>t))|~(~(t)))&y)
((((o&m)|y)>(~((o|m))>m))|o)
0
0
0
0
not entailment
(((~(y)&(t>~((t>(m>m)))))|t)&(o&y))
((y&o)|((y&o)&m))
1
1
1
1
entailment
(m&((o&m)&((m|o)&((m&m)>m))))
((y&t)>(~(((t|~(o))&((t&m)>(m>o))))|m))
1
0
0
0
entailment
(((~(y)&(t>~((t>(m>m)))))|t)&(o&y))
((y&t)>(~(((t|~(o))&((t&m)>(m>o))))|m))
0
0
1
0
not entailment
(m&((o&m)&((m|o)&((m&m)>m))))
((y&o)|((y&o)&m))
0
1
0
0
not entailment
~((o|(t>o)))
(m|(t&t))
1
1
0
0
entailment
(o|o)
((~(~(y))&(m|t))|(((o&t)|~(m))|o))
1
0
0
0
entailment
~((o|(t>o)))
((~(~(y))&(m|t))|(((o&t)|~(m))|o))
0
0
0
0
not entailment
(o|o)
(m|(t&t))
0
0
0
0
not entailment