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
((d&~(y))&(~(m)|((k|~(d))&(o|~(k)))))
((~((c&(o>g)))>(m>~(o)))|(a>(g>k)))
1
1
0
0
entailment
(((k&~(s))|a)|(((~(m)&s)>c)&m))
((((k>c)>m)|~(d))|(a|c))
1
1
0
0
entailment
((d&~(y))&(~(m)|((k|~(d))&(o|~(k)))))
((((k>c)>m)|~(d))|(a|c))
0
1
0
0
not entailment
(((k&~(s))|a)|(((~(m)&s)>c)&m))
((~((c&(o>g)))>(m>~(o)))|(a>(g>k)))
0
0
0
0
not entailment
~((m|((o>g)|k)))
~(~(~(((((k|a)&m)&a)&y))))
1
0
0
0
entailment
((k|y)&(g&c))
(~((c|(a>y)))>((g&~(s))&(g>(~(c)&k))))
1
0
0
0
entailment
~((m|((o>g)|k)))
(~((c|(a>y)))>((g&~(s))&(g>(~(c)&k))))
0
0
0
0
not entailment
((k|y)&(g&c))
~(~(~(((((k|a)&m)&a)&y))))
0
0
0
0
not entailment
((((y|c)&d)&a)&a)
(~((((o|d)|((c|d)>~(s)))&y))|d)
1
0
0
0
entailment
((((a&g)|(m&k))&~((m>g)))&a)
~(~(((g|c)>c)))
1
1
0
0
entailment
((((y|c)&d)&a)&a)
~(~(((g|c)>c)))
0
1
0
0
not entailment
((((a&g)|(m&k))&~((m>g)))&a)
(~((((o|d)|((c|d)>~(s)))&y))|d)
0
0
0
0
not entailment
((~(k)|((c>c)|(g>k)))&(c&(y>d)))
(g>(((a&k)&(o>d))>((k|(s>(o>s)))>(y>d))))
1
0
0
0
entailment
~(((y>(~(o)&~(m)))>m))
~(((a|(d|s))&m))
1
1
0
0
entailment
((~(k)|((c>c)|(g>k)))&(c&(y>d)))
~(((a|(d|s))&m))
0
1
0
0
not entailment
~(((y>(~(o)&~(m)))>m))
(g>(((a&k)&(o>d))>((k|(s>(o>s)))>(y>d))))
0
0
0
0
not entailment
(m&(a|s))
((o|o)>m)
1
1
0
0
entailment
((k|(((~(g)&g)>m)>m))&(o&(y|a)))
(s>(~(a)>y))
1
1
0
0
entailment
(m&(a|s))
(s>(~(a)>y))
0
0
0
0
not entailment
((k|(((~(g)&g)>m)>m))&(o&(y|a)))
((o|o)>m)
0
1
1
0
not entailment
(~(((s>(g&c))|(m>g)))&(a|(~(y)&m)))
((~(g)|s)&(~(d)>~(g)))
1
1
0
0
entailment
((c&k)&(g&g))
(~(~(y))|((c&g)|(~((c&d))>o)))
1
0
0
0
entailment
(~(((s>(g&c))|(m>g)))&(a|(~(y)&m)))
(~(~(y))|((c&g)|(~((c&d))>o)))
0
1
0
0
not entailment
((c&k)&(g&g))
((~(g)|s)&(~(d)>~(g)))
0
0
0
0
not entailment
(~(((c>s)&~((o&~(m)))))&~(m))
(((o>m)>a)|~((g&~(c))))
1
1
0
0
entailment
((((k>k)&~(g))|(m|m))&(m&((y&o)&~(s))))
(m|((s>s)&s))
1
1
1
0
entailment
(~(((c>s)&~((o&~(m)))))&~(m))
(m|((s>s)&s))
0
1
1
0
not entailment
((((k>k)&~(g))|(m|m))&(m&((y&o)&~(s))))
(((o>m)>a)|~((g&~(c))))
0
1
0
0
not entailment
(~(~(~(((s|(y&s))>(m>(a>g))))))&(k|k))
(k|((k|y)>((c|m)|s)))
1
1
0
0
entailment
~(~((g&d)))
(~(d)>~(a))
1
1
0
0
entailment
(~(~(~(((s|(y&s))>(m>(a>g))))))&(k|k))
(~(d)>~(a))
0
1
0
0
not entailment
~(~((g&d)))
(k|((k|y)>((c|m)|s)))
0
0
0
0
not entailment
~(~(d))
(k|d)
1
1
0
0
entailment
~((s>~(~(~(y)))))
(~(~(~((s|~(o)))))|s)
1
0
0
0
entailment
~(~(d))
(~(~(~((s|~(o)))))|s)
0
0
0
0
not entailment
~((s>~(~(~(y)))))
(k|d)
0
1
0
0
not entailment
~((~(y)>(c>a)))
((s|((~(y)|k)|(g>o)))|(s&(k&m)))
1
0
0
0
entailment
((m&(d&g))&g)
(c>g)
1
1
0
0
entailment
~((~(y)>(c>a)))
(c>g)
0
1
0
0
not entailment
((m&(d&g))&g)
((s|((~(y)|k)|(g>o)))|(s&(k&m)))
0
0
0
0
not entailment
~(((o&d)|(((a&m)&~(~(d)))>(k>y))))
(~((((s&~(y))&(y&(d>a)))|s))>(y>k))
1
1
0
0
entailment
((m&(a>(~((o|d))&(o&~(a)))))&~(g))
((c&(a&s))>(g&c))
1
1
0
0
entailment
~(((o&d)|(((a&m)&~(~(d)))>(k>y))))
((c&(a&s))>(g&c))
0
1
0
0
not entailment
((m&(a>(~((o|d))&(o&~(a)))))&~(g))
(~((((s&~(y))&(y&(d>a)))|s))>(y>k))
0
1
0
0
not entailment
(~((a>s))&(g>(s|(m>d))))
~(~((k|a)))
1
1
0
0
entailment
((o|k)&c)
(c|(g|d))
1
1
0
0
entailment
(~((a>s))&(g>(s|(m>d))))
(c|(g|d))
0
1
0
0
not entailment
((o|k)&c)
~(~((k|a)))
0
0
0
0
not entailment
(m&c)
(((k|k)>s)|~((c&(~(s)&~(m)))))
1
0
0
0
entailment
(y&((a|y)|s))
((m>s)|((d>((a&o)>(a>y)))|~((a|k))))
1
0
0
0
entailment
(m&c)
((m>s)|((d>((a&o)>(a>y)))|~((a|k))))
0
0
0
0
not entailment
(y&((a|y)|s))
(((k|k)>s)|~((c&(~(s)&~(m)))))
0
0
0
0
not entailment
((s&a)&(~((y>(d&c)))&s))
(s|y)
1
1
1
1
entailment
~(((s>s)>((o&m)|~(~(s)))))
(~((s&a))|~((d|((d>(y|s))&d))))
1
0
0
0
entailment
((s&a)&(~((y>(d&c)))&s))
(~((s&a))|~((d|((d>(y|s))&d))))
0
0
1
0
not entailment
~(((s>s)>((o&m)|~(~(s)))))
(s|y)
0
1
0
0
not entailment
(y&(y>g))
(~(((o|(y|g))>~(y)))|~((m&m)))
1
0
0
0
entailment
(a&~(~(((m&(o|s))>~(a)))))
(k|a)
1
1
0
0
entailment
(y&(y>g))
(k|a)
0
1
0
0
not entailment
(a&~(~(((m&(o|s))>~(a)))))
(~(((o|(y|g))>~(y)))|~((m&m)))
0
0
0
0
not entailment
((l>~(((s&y)|s)))&~((((f>w)|y)|s)))
(s>(p|~((l&f))))
1
1
0
0
entailment
(s&((s|w)>(w>y)))
~(~((s|p)))
1
1
0
0
entailment
((l>~(((s&y)|s)))&~((((f>w)|y)|s)))
~(~((s|p)))
0
1
0
0
not entailment
(s&((s|w)>(w>y)))
(s>(p|~((l&f))))
0
1
0
0
not entailment
((l>s)&~((p>s)))
~(s)
1
1
1
1
entailment
((m>g)&s)
(~(((s|y)|s))>(((s&p)&(w>g))|(l|f)))
1
0
0
0
entailment
((l>s)&~((p>s)))
(~(((s|y)|s))>(((s&p)&(w>g))|(l|f)))
0
0
0
0
not entailment
((m>g)&s)
~(s)
0
1
1
0
not entailment
~((f|~((((y>s)|(w&g))>g))))
((s&(~(y)&~((s&p))))>g)
1
1
0
0
entailment
~((p|~(~(l))))
((m>(p>y))&(w>(l|w)))
1
0
0
0
entailment
~((f|~((((y>s)|(w&g))>g))))
((m>(p>y))&(w>(l|w)))
0
1
0
0
not entailment
~((p|~(~(l))))
((s&(~(y)&~((s&p))))>g)
0
0
0
0
not entailment
~(((m&m)>(g>l)))
(~((p>w))>((m|y)&(p|~((g|m)))))
1
0
0
0
entailment
(s&(s&s))
((s|w)&s)
1
1
0
0
entailment
~(((m&m)>(g>l)))
((s|w)&s)
0
1
0
0
not entailment
(s&(s&s))
(~((p>w))>((m|y)&(p|~((g|m)))))
0
0
0
0
not entailment
~((s|y))
((f|~((s|s)))|(~(l)&((w>l)>((p>m)&w))))
1
0
0
0
entailment
~((~(((p|y)>l))>~((l|y))))
(l>((w>g)&((s|y)|g)))
1
1
0
0
entailment
~((s|y))
(l>((w>g)&((s|y)|g)))
0
0
0
0
not entailment
~((~(((p|y)>l))>~((l|y))))
((f|~((s|s)))|(~(l)&((w>l)>((p>m)&w))))
0
0
0
0
not entailment
~(s)
(((g>m)|((s|(w|y))>y))|(f|w))
1
0
0
0
entailment
~((g>l))
(~(f)>(y>(l>p)))
1
0
0
0
entailment
~(s)
(~(f)>(y>(l>p)))
0
0
0
0
not entailment
~((g>l))
(((g>m)|((s|(w|y))>y))|(f|w))
0
0
0
0
not entailment
(m&w)
((~(m)&f)>(m&s))
1
0
0
0
entailment
(l&f)
(((w|s)&l)|~(w))
1
0
0
0
entailment
(m&w)
(((w|s)&l)|~(w))
0
0
0
0
not entailment
(l&f)
((~(m)&f)>(m&s))
0
0
0
0
not entailment
(w&w)
(((w|m)>y)>((p>p)&(f|y)))
1
0
0
0
entailment
~(s)
(s>((w|l)>(f&m)))
1
0
0
0
entailment
(w&w)
(s>((w|l)>(f&m)))
0
0
0
0
not entailment
~(s)
(((w|m)>y)>((p>p)&(f|y)))
0
0
0
0
not entailment
(~((f|(~(y)&l)))&(s&((p&m)&~(~(m)))))
(((y&m)|((w|~((f|m)))&(g>f)))>m)
1
1
0
0
entailment
((w>y)&(f|~((f>l))))
((m>(m|g))&(((p&((s|p)|y))>l)|f))
1
0
0
0
entailment
(~((f|(~(y)&l)))&(s&((p&m)&~(~(m)))))
((m>(m|g))&(((p&((s|p)|y))>l)|f))
0
1
0
0
not entailment
((w>y)&(f|~((f>l))))
(((y&m)|((w|~((f|m)))&(g>f)))>m)
0
0
0
0
not entailment
~(((m>y)|((f|m)>((f>w)&m))))
~((~((l|w))&(y|~(~((~(m)&w))))))
1
0
0
0
entailment
~(((w|~(~((y>(l&~((p&f)))))))|(s|m)))
(((w|~(m))>l)>~((m&m)))
1
1
1
0
entailment
~(((m>y)|((f|m)>((f>w)&m))))
(((w|~(m))>l)>~((m&m)))
0
1
0
0
not entailment
~(((w|~(~((y>(l&~((p&f)))))))|(s|m)))
~((~((l|w))&(y|~(~((~(m)&w))))))
0
1
1
0
not entailment