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
(~(((c&h)>i))&((~(c)>(i|(c&(z&y))))>z))
((e>(~(z)&((y&d)&~(c))))>((y>w)|d))
0
1
0
0
not entailment
~((e>(o>y)))
(d>z)
0
1
0
0
not entailment
~((~((~(d)&h))>(e>~(o))))
((((e>w)|~((~(o)|h)))>(e>z))|((o|d)|c))
1
0
0
0
entailment
~(y)
(~(y)|(o&i))
1
0
0
0
entailment
~((~((~(d)&h))>(e>~(o))))
(~(y)|(o&i))
0
1
0
0
not entailment
~(y)
((((e>w)|~((~(o)|h)))>(e>z))|((o|d)|c))
0
0
0
0
not entailment
(~(y)&z)
((d&(y&~((~((e&e))&i))))>h)
1
0
0
0
entailment
~((((o>y)>~(e))|o))
(~(~(((h&(o&~(e)))&((d&w)>z))))>i)
1
0
0
0
entailment
(~(y)&z)
(~(~(((h&(o&~(e)))&((d&w)>z))))>i)
0
0
0
0
not entailment
~((((o>y)>~(e))|o))
((d&(y&~((~((e&e))&i))))>h)
0
0
0
0
not entailment
((~(((i>c)|(c>i)))>(i&((z&e)|w)))>w)
(((y|(w>i))>((y|o)&c))>w)
1
1
0
0
entailment
((~(((~(w)&i)>w))&i)|((d>(h&h))&c))
((i|(d>i))|h)
1
1
1
1
entailment
((~(((i>c)|(c>i)))>(i&((z&e)|w)))>w)
((i|(d>i))|h)
0
1
0
0
not entailment
((~(((~(w)&i)>w))&i)|((d>(h&h))&c))
(((y|(w>i))>((y|o)&c))>w)
0
1
0
0
not entailment
((y&((((c>(o&y))|w)|e)>c))&h)
(((d|w)|w)>y)
1
1
0
0
entailment
(o&(i&(w&d)))
(((c>~((z|i)))&~(i))>((o&o)>(e&(h|y))))
1
0
0
0
entailment
((y&((((c>(o&y))|w)|e)>c))&h)
(((c>~((z|i)))&~(i))>((o&o)>(e&(h|y))))
0
0
0
0
not entailment
(o&(i&(w&d)))
(((d|w)|w)>y)
0
1
0
0
not entailment
~((e|(((d>h)|h)>((i&(w&z))|i))))
((w&y)>((e&(w&z))>((z>c)&c)))
1
1
0
0
entailment
((h&h)&z)
~(~((c|((~((c|z))>c)|(w>h)))))
1
0
0
0
entailment
~((e|(((d>h)|h)>((i&(w&z))|i))))
~(~((c|((~((c|z))>c)|(w>h)))))
0
1
0
0
not entailment
((h&h)&z)
((w&y)>((e&(w&z))>((z>c)&c)))
0
0
0
0
not entailment
~(((z>h)>i))
~((((z&~(y))|(z>y))&(((w>h)&i)&y)))
1
0
0
0
entailment
(~((~((i&(w>(c&z))))|~(h)))&(w&z))
((i&(w|w))&(i&(i|w)))
1
1
1
1
entailment
~(((z>h)>i))
((i&(w|w))&(i&(i|w)))
0
0
0
0
not entailment
(~((~((i&(w>(c&z))))|~(h)))&(w&z))
~((((z&~(y))|(z>y))&(((w>h)&i)&y)))
0
1
0
0
not entailment
((o&~(y))&w)
(~(w)>~(e))
1
1
0
0
entailment
(c&z)
(~((c>~((z|o))))|c)
1
0
0
0
entailment
((o&~(y))&w)
(~((c>~((z|o))))|c)
0
0
0
0
not entailment
(c&z)
(~(w)>~(e))
0
0
0
0
not entailment
((w&c)&(e>d))
((w|(z>h))|y)
1
1
0
0
entailment
~(~((o&((d&e)&((z>c)|(e>d))))))
((y>~(z))|(o&~(~(d))))
1
1
0
0
entailment
((w&c)&(e>d))
((y>~(z))|(o&~(~(d))))
0
0
0
0
not entailment
~(~((o&((d&e)&((z>c)|(e>d))))))
((w|(z>h))|y)
0
1
0
0
not entailment
(d&~((o&c)))
(d|w)
1
1
0
0
entailment
~((w|(~((d|w))>w)))
(w>h)
1
1
0
0
entailment
(d&~((o&c)))
(w>h)
0
1
0
0
not entailment
~((w|(~((d|w))>w)))
(d|w)
0
1
1
0
not entailment
(c&(d&i))
(c|(o|i))
1
1
0
0
entailment
~((h|(((w&(z>(o&d)))|(~(~(d))&o))|i)))
((i|(d&(d>o)))>z)
1
1
1
0
entailment
(c&(d&i))
((i|(d&(d>o)))>z)
0
0
0
0
not entailment
~((h|(((w&(z>(o&d)))|(~(~(d))&o))|i)))
(c|(o|i))
0
1
0
0
not entailment
(((y|d)&~(d))&e)
~(d)
1
1
1
1
entailment
~((((d>y)&d)>w))
((e&(o&h))>(c>((y&e)&d)))
1
0
0
0
entailment
(((y|d)&~(d))&e)
((e&(o&h))>(c>((y&e)&d)))
0
0
0
0
not entailment
~((((d>y)&d)>w))
~(d)
0
1
1
1
not entailment
~((d|(c&z)))
(d>o)
1
1
0
0
entailment
(~(i)&z)
(((z|i)&(c|e))|z)
1
0
0
0
entailment
~((d|(c&z)))
(((z|i)&(c|e))|z)
0
0
0
0
not entailment
(~(i)&z)
(d>o)
0
1
0
0
not entailment
(~((((o|o)|(a|j))>u))&((j|(v|k))&a))
(((j>u)>((o|v)&((v|o)&m)))>(u|a))
1
1
0
0
entailment
((v&((m&k)&v))&((k|o)>j))
((((v&u)&~(j))|((k&u)|j))&v)
1
0
0
0
entailment
(~((((o|o)|(a|j))>u))&((j|(v|k))&a))
((((v&u)&~(j))|((k&u)|j))&v)
0
1
1
0
not entailment
((v&((m&k)&v))&((k|o)>j))
(((j>u)>((o|v)&((v|o)&m)))>(u|a))
0
0
0
0
not entailment
(~(o)&(~(((m>((a>m)|v))|u))|u))
((a|(((k&~(k))|a)&v))|(o>k))
1
1
0
0
entailment
(~(((a&(o&k))|((u|~(o))>a)))&~(m))
(~((u|o))|(m>(u>((a|(~(v)|u))>o))))
1
1
0
0
entailment
(~(o)&(~(((m>((a>m)|v))|u))|u))
(~((u|o))|(m>(u>((a|(~(v)|u))>o))))
0
0
1
0
not entailment
(~(((a&(o&k))|((u|~(o))>a)))&~(m))
((a|(((k&~(k))|a)&v))|(o>k))
0
1
0
0
not entailment
(((a&a)&v)&m)
(m&m)
1
1
1
1
entailment
(~((v&v))&(~(((v>m)>o))&~((a|k))))
~(((v&o)&((o>m)|k)))
1
1
1
0
entailment
(((a&a)&v)&m)
~(((v&o)&((o>m)|k)))
0
0
0
0
not entailment
(~((v&v))&(~(((v>m)>o))&~((a|k))))
(m&m)
0
1
1
1
not entailment
(j&m)
(j|(k>((u&(a|m))&~(o))))
1
0
0
0
entailment
(k&m)
(u>(((a&j)&k)|k))
1
0
0
0
entailment
(j&m)
(u>(((a&j)&k)|k))
0
0
0
0
not entailment
(k&m)
(j|(k>((u&(a|m))&~(o))))
0
0
0
0
not entailment
(u&~((j|((o|m)&~(k)))))
~((~((m|o))&((~(u)|m)&k)))
1
0
1
0
entailment
((o|(o>u))&((k|(a>j))&(j&(o|(j&k)))))
(((((u|~(u))&a)|~(o))|(u|o))&((a>a)>j))
1
0
1
0
entailment
(u&~((j|((o|m)&~(k)))))
(((((u|~(u))&a)|~(o))|(u|o))&((a>a)>j))
0
0
0
0
not entailment
((o|(o>u))&((k|(a>j))&(j&(o|(j&k)))))
~((~((m|o))&((~(u)|m)&k)))
0
1
0
0
not entailment
~(((j>~(a))|v))
(((j&j)&k)|(u|j))
1
1
0
0
entailment
~(~((~(u)&(((j|k)>((j|u)&u))>j))))
(((k|~(u))|~(j))|k)
1
1
1
1
entailment
~(((j>~(a))|v))
(((k|~(u))|~(j))|k)
0
0
0
0
not entailment
~(~((~(u)&(((j|k)>((j|u)&u))>j))))
(((j&j)&k)|(u|j))
0
1
1
0
not entailment
(a|o)
(u|((o>~(o))>(a|a)))
1
0
0
0
entailment
~((((a&j)&(((u>v)&(u&o))|a))|(v>(k>a))))
(v|a)
1
1
1
0
entailment
(a|o)
(v|a)
0
1
0
0
not entailment
~((((a&j)&(((u>v)&(u&o))|a))|(v>(k>a))))
(u|((o>~(o))>(a|a)))
0
1
1
0
not entailment
((a&u)&(((o&(~(j)|u))&k)&v))
((~(j)>(k|(a|(a|m))))|v)
1
1
0
0
entailment
((m&m)|~(o))
((~(((a|o)>(o>(u>m))))&v)>~(a))
1
0
0
0
entailment
((a&u)&(((o&(~(j)|u))&k)&v))
((~(((a|o)>(o>(u>m))))&v)>~(a))
0
0
0
0
not entailment
((m&m)|~(o))
((~(j)>(k|(a|(a|m))))|v)
0
0
0
0
not entailment
~(k)
((k|o)>(~(o)>m))
1
0
0
0
entailment
~(~(u))
(((a|u)>m)>m)
1
0
0
0
entailment
~(k)
(((a|u)>m)>m)
0
0
0
0
not entailment
~(~(u))
((k|o)>(~(o)>m))
0
0
0
0
not entailment
((m|m)&~((j|k)))
~(j)
1
1
1
1
entailment
~((v>((~(u)>~(o))&~(k))))
((a|(~(v)&((m&k)&v)))|(u>k))
1
1
0
0
entailment
((m|m)&~((j|k)))
((a|(~(v)&((m&k)&v)))|(u>k))
0
0
0
0
not entailment
~((v>((~(u)>~(o))&~(k))))
~(j)
0
1
0
0
not entailment
(~((k|~(o)))&a)
((~(~(a))|(v|(o|u)))|(v|u))
1
0
0
0
entailment
(~(v)&k)
(k|j)
1
1
0
0
entailment
(~((k|~(o)))&a)
(k|j)
0
1
0
0
not entailment
(~(v)&k)
((~(~(a))|(v|(o|u)))|(v|u))
0
0
0
0
not entailment
~(((j>m)>(m|v)))
~((~(~(~((v&(o>(m&u))))))&j))
1
0
0
0
entailment
~((j>v))
((v|m)|(j&((m&m)>(o|~(j)))))
1
0
0
0
entailment
~(((j>m)>(m|v)))
((v|m)|(j&((m&m)>(o|~(j)))))
0
0
0
0
not entailment
~((j>v))
~((~(~(~((v&(o>(m&u))))))&j))
0
0
0
0
not entailment
(m&~((m&j)))
~(j)
1
1
1
1
entailment
~(~((~(m)&(o|~(j)))))
((m>a)|a)
1
1
0
0
entailment