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>((k>k)|((v|w)>v)))>~((k>t)))
(t|((w|k)|g))
1
1
0
0
entailment
~(~(~(((m&(v&(x|x)))>~(~(w))))))
~((v&~(m)))
1
1
1
0
entailment
((i>((k>k)|((v|w)>v)))>~((k>t)))
~((v&~(m)))
0
1
0
0
not entailment
~(~(~(((m&(v&(x|x)))>~(~(w))))))
(t|((w|k)|g))
0
1
0
0
not entailment
((~(g)|(m|t))&m)
((((x&v)|k)|m)|((m|v)|(x>w)))
1
0
0
0
entailment
((~(w)&~(~((~(w)>i))))&(w|(~(g)&t)))
((x&((x&(w|(w&x)))&w))|((i>~((x|m)))|t))
1
1
0
0
entailment
((~(g)|(m|t))&m)
((x&((x&(w|(w&x)))&w))|((i>~((x|m)))|t))
0
0
0
0
not entailment
((~(w)&~(~((~(w)>i))))&(w|(~(g)&t)))
((((x&v)|k)|m)|((m|v)|(x>w)))
0
1
0
0
not entailment
~((~(~(w))>~(t)))
~(~((((w&~(x))|(i|w))>(~((w|k))>x))))
1
0
0
0
entailment
~(((t>k)>~((((t>w)&v)|~(w)))))
((~(w)|v)|(~(m)&~((t>w))))
1
1
0
0
entailment
~((~(~(w))>~(t)))
((~(w)|v)|(~(m)&~((t>w))))
0
0
0
0
not entailment
~(((t>k)>~((((t>w)&v)|~(w)))))
~(~((((w&~(x))|(i|w))>(~((w|k))>x))))
0
0
0
0
not entailment
((k&(v|(t&(m|(g|((w|i)&m))))))&((m>i)&v))
(((i|x)>((m|(g&t))|m))|(w|(i>~(~(k)))))
1
1
0
0
entailment
(i&((k&((w&g)|(i>g)))|((g>m)>m)))
(~((i&i))>(w&m))
1
1
1
1
entailment
((k&(v|(t&(m|(g|((w|i)&m))))))&((m>i)&v))
(~((i&i))>(w&m))
0
1
1
1
not entailment
(i&((k&((w&g)|(i>g)))|((g>m)>m)))
(((i|x)>((m|(g&t))|m))|(w|(i>~(~(k)))))
0
0
0
0
not entailment
((w>k)>(v&(x&((k&(x>x))&m))))
(~(((x>w)&i))>(x|(v|w)))
1
1
0
0
entailment
(k>~((k|v)))
(~(w)>(~((k|g))|~(k)))
1
0
0
0
entailment
((w>k)>(v&(x&((k&(x>x))&m))))
(~(w)>(~((k|g))|~(k)))
0
1
0
0
not entailment
(k>~((k|v)))
(~(((x>w)&i))>(x|(v|w)))
0
0
0
0
not entailment
(m&v)
(((i>m)|(w>x))|~((~((v&(t&i)))&i)))
1
0
0
0
entailment
(~((((x&x)|((v|i)>x))&~(((v&m)>m))))>w)
~(~((~((x&m))|(w&x))))
1
1
1
0
entailment
(m&v)
~(~((~((x&m))|(w&x))))
0
0
0
0
not entailment
(~((((x&x)|((v|i)>x))&~(((v&m)>m))))>w)
(((i>m)|(w>x))|~((~((v&(t&i)))&i)))
0
1
0
0
not entailment
~((((t|i)|k)|k))
~(((w|(x&m))&i))
1
1
0
0
entailment
((~((m|(m>g)))>(x|w))>w)
(~((w|x))>(m&m))
1
1
1
0
entailment
~((((t|i)|k)|k))
(~((w|x))>(m&m))
0
1
0
0
not entailment
((~((m|(m>g)))>(x|w))>w)
~(((w|(x&m))&i))
0
1
0
0
not entailment
(v&(k|((i|k)&i)))
(~(((w>w)>(k>g)))|(~((t>v))>w))
1
0
0
0
entailment
~((g>(v|(i>x))))
((x|(~(t)|(k>~(v))))|~(v))
1
0
0
0
entailment
(v&(k|((i|k)&i)))
((x|(~(t)|(k>~(v))))|~(v))
0
0
0
0
not entailment
~((g>(v|(i>x))))
(~(((w>w)>(k>g)))|(~((t>v))>w))
0
0
0
0
not entailment
~((~(~(g))|((w&(t&w))&v)))
((g>t)|~(~(((m>(t>t))>(t&(w&k))))))
1
0
0
0
entailment
~((i|k))
((x>(~(x)|t))|((k&m)>(i>w)))
1
0
0
0
entailment
~((~(~(g))|((w&(t&w))&v)))
((x>(~(x)|t))|((k&m)>(i>w)))
0
1
0
0
not entailment
~((i|k))
((g>t)|~(~(((m>(t>t))>(t&(w&k))))))
0
0
0
0
not entailment
~((~((k&((m&v)&x)))|((w|(w>k))>~(t))))
(~(((v|w)>m))|k)
1
1
1
0
entailment
~((m|g))
(~(((w&m)>g))>(g&~(k)))
1
0
0
0
entailment
~((~((k&((m&v)&x)))|((w|(w>k))>~(t))))
(~(((w&m)>g))>(g&~(k)))
0
1
0
0
not entailment
~((m|g))
(~(((v|w)>m))|k)
0
0
0
0
not entailment
(~(w)&(((v>g)&m)|m))
(m|m)
1
1
1
1
entailment
(((g>v)|(g&g))>~(~(w)))
(((i|k)|((w>(i>i))&w))|(k&i))
1
0
0
0
entailment
(~(w)&(((v>g)&m)|m))
(((i|k)|((w>(i>i))&w))|(k&i))
0
0
0
0
not entailment
(((g>v)|(g&g))>~(~(w)))
(m|m)
0
1
0
0
not entailment
~((g&~(~((w|g)))))
(g>(w>(((i|(k|(x|m)))>t)|t)))
1
0
0
0
entailment
(~(k)>~((g>g)))
((k|~(m))|(v|~(~(~(t)))))
1
0
0
0
entailment
~((g&~(~((w|g)))))
((k|~(m))|(v|~(~(~(t)))))
0
0
0
0
not entailment
(~(k)>~((g>g)))
(g>(w>(((i|(k|(x|m)))>t)|t)))
0
0
0
0
not entailment
((w>(k>(m|w)))>(v&v))
(((~(v)|(t&t))&(t|~(((x&w)>i))))>(g>v))
1
0
0
0
entailment
~(~((~((((m&k)>m)>v))&i)))
(i|(k&t))
1
1
0
0
entailment
((w>(k>(m|w)))>(v&v))
(i|(k&t))
0
1
0
0
not entailment
~(~((~((((m&k)>m)>v))&i)))
(((~(v)|(t&t))&(t|~(((x&w)>i))))>(g>v))
0
0
0
0
not entailment
~(((i&(k|m))|((k>~((m&w)))|(g&g))))
((t>w)|i)
1
1
0
0
entailment
(k&~(x))
~(~((x>(x>(~(w)|(w&i))))))
1
0
0
0
entailment
~(((i&(k|m))|((k>~((m&w)))|(g&g))))
~(~((x>(x>(~(w)|(w&i))))))
0
1
0
0
not entailment
(k&~(x))
((t>w)|i)
0
1
0
0
not entailment
((x&t)&(g|x))
(x|x)
1
1
1
1
entailment
((t&(v&w))&(k|x))
(~((t&k))>(v|i))
1
1
0
0
entailment
((x&t)&(g|x))
(~((t&k))>(v|i))
0
0
0
0
not entailment
((t&(v&w))&(k|x))
(x|x)
0
1
1
1
not entailment
((k|g)&(((t|t)>g)>(t&t)))
(~((x>t))>((g|g)>k))
1
1
0
0
entailment
~(((i&w)>~(~(((t|w)&v)))))
(i|w)
1
1
1
1
entailment
((k|g)&(((t|t)>g)>(t&t)))
(i|w)
0
1
0
0
not entailment
~(((i&w)>~(~(((t|w)&v)))))
(~((x>t))>((g|g)>k))
0
1
0
0
not entailment
(~((g|k))&((~((w>x))|v)|(w|x)))
~(((g&(~(~(g))&i))&t))
1
1
0
0
entailment
(x&g)
(x&(~((t&~(x)))&x))
1
0
0
0
entailment
(~((g|k))&((~((w>x))|v)|(w|x)))
(x&(~((t&~(x)))&x))
0
1
0
0
not entailment
(x&g)
~(((g&(~(~(g))&i))&t))
0
0
0
0
not entailment
(((y&~(((y>y)&~(y))))|(y>y))&y)
((y|(y|y))&y)
1
1
1
1
entailment
~((((y>y)&((y&(y>y))>(y&y)))>y))
(~(~(~(y)))&~((y&y)))
1
1
1
1
entailment
(((y&~(((y>y)&~(y))))|(y>y))&y)
(~(~(~(y)))&~((y&y)))
0
1
1
1
not entailment
~((((y>y)&((y&(y>y))>(y&y)))>y))
((y|(y|y))&y)
0
1
1
1
not entailment
((y|y)|y)
(y|y)
1
1
1
1
entailment
~((y&(y|((y&y)|y))))
~(((y&(y>y))|((y&y)|y)))
1
0
1
0
entailment
((y|y)|y)
~(((y&(y>y))|((y&y)|y)))
0
0
1
0
not entailment
~((y&(y|((y&y)|y))))
(y|y)
0
1
1
0
not entailment
~(~((((((y|(y>y))&y)|y)&~(y))|y)))
(((y>y)&(y|y))&(y&y))
1
1
1
1
entailment
((y|y)>(~(y)&y))
~(y)
1
1
1
1
entailment
~(~((((((y|(y>y))&y)|y)&~(y))|y)))
~(y)
0
1
1
1
not entailment
((y|y)>(~(y)&y))
(((y>y)&(y|y))&(y&y))
0
0
1
1
not entailment
(y|(~(y)&y))
((y|(y&y))|y)
1
1
1
1
entailment
(~(y)&((y|y)>y))
(~(y)&(y>y))
1
1
1
1
entailment
(y|(~(y)&y))
(~(y)&(y>y))
0
1
1
1
not entailment
(~(y)&((y|y)>y))
((y|(y&y))|y)
0
1
1
1
not entailment
~(((~((y|(y|y)))|~((y|y)))&~(y)))
(y|y)
1
1
1
1
entailment
(~(~(y))>~(~((((y|y)>~(y))&y))))
~(~(~(((((y>y)>y)|y)&~(~(y))))))
1
1
1
1
entailment
~(((~((y|(y|y)))|~((y|y)))&~(y)))
~(~(~(((((y>y)>y)|y)&~(~(y))))))
0
1
1
0
not entailment
(~(~(y))>~(~((((y|y)>~(y))&y))))
(y|y)
0
1
1
1
not entailment
~(~(((y&y)|(~(y)>(y|y)))))
~((y>(~(((y>(y>y))&y))&y)))
1
1
1
0
entailment
~((y|(y&y)))
~(((y|(((y>y)|y)&(y|(y|y))))&y))
1
0
1
0
entailment
~(~(((y&y)|(~(y)>(y|y)))))
~(((y|(((y>y)|y)&(y|(y|y))))&y))
0
0
1
0
not entailment
~((y|(y&y)))
~((y>(~(((y>(y>y))&y))&y)))
0
0
1
0
not entailment
(y&y)
((~((y|(y>y)))>(y>y))>(y|y))
1
0
1
0
entailment
(~(y)|~(y))
(~((y|y))|(~((y>((y&y)>y)))&((y>y)&y)))
1
0
1
0
entailment
(y&y)
(~((y|y))|(~((y>((y&y)>y)))&((y>y)&y)))
0
0
1
0
not entailment
(~(y)|~(y))
((~((y|(y>y)))>(y>y))>(y|y))
0
0
1
0
not entailment
~((w>q))
((w|(z&((e&~(k))>(z|w))))|k)
1
0
0
0
entailment
((~(e)>k)&~(w))
((w>e)|k)
1
1
1
1
entailment
~((w>q))
((w>e)|k)
0
1
0
0
not entailment
((~(e)>k)&~(w))
((w|(z&((e&~(k))>(z|w))))|k)
0
0
0
0
not entailment