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
(l|((s&r)&~((s&(k&l)))))
((r&((s|~((b|e)))>l))>l)
1
1
0
0
entailment
(b&b)
(((k>~(s))|(l|b))&(((s&k)>k)|s))
1
0
0
0
entailment
(l|((s&r)&~((s&(k&l)))))
(((k>~(s))|(l|b))&(((s&k)>k)|s))
0
0
0
0
not entailment
(b&b)
((r&((s|~((b|e)))>l))>l)
0
0
0
0
not entailment
~(((s&(b>b))>~((((k&l)&b)&(~(r)|s)))))
(r>l)
1
1
1
1
entailment
(~((l|~(e)))&(l>(l>b)))
~((l&~(e)))
1
1
1
1
entailment
~(((s&(b>b))>~((((k&l)&b)&(~(r)|s)))))
~((l&~(e)))
0
1
0
0
not entailment
(~((l|~(e)))&(l>(l>b)))
(r>l)
0
1
0
0
not entailment
(((r&s)|~(e))&~(b))
(~((b&e))>(b>k))
1
1
0
0
entailment
(~(b)>b)
(b&(~((~(s)>e))|b))
1
0
0
0
entailment
(((r&s)|~(e))&~(b))
(b&(~((~(s)>e))|b))
0
1
1
0
not entailment
(~(b)>b)
(~((b&e))>(b>k))
0
0
0
0
not entailment
~((((l&b)>(~(~((l&s)))&k))|k))
((b>k)|(((s|s)&r)|l))
1
1
0
0
entailment
(((e|((e|e)|r))|k)&e)
(e&e)
1
1
1
1
entailment
~((((l&b)>(~(~((l&s)))&k))|k))
(e&e)
0
1
0
0
not entailment
(((e|((e|e)|r))|k)&e)
((b>k)|(((s|s)&r)|l))
0
1
0
0
not entailment
~((~((s&((k>(k|~(r)))>r)))|(k&e)))
((s|k)&(k|~((k&~(s)))))
1
1
1
1
entailment
~(k)
((((e&s)&((e>k)&r))|s)>~(k))
1
0
0
0
entailment
~((~((s&((k>(k|~(r)))>r)))|(k&e)))
((((e&s)&((e>k)&r))|s)>~(k))
0
1
1
0
not entailment
~(k)
((s|k)&(k|~((k&~(s)))))
0
0
0
0
not entailment
(~((l|(r>k)))&(b|r))
(~(l)|b)
1
1
1
1
entailment
(~(~(e))&s)
((e|s)&s)
1
1
1
1
entailment
(~((l|(r>k)))&(b|r))
((e|s)&s)
0
1
0
0
not entailment
(~(~(e))&s)
(~(l)|b)
0
1
0
0
not entailment
~((r|e))
~((~(((r&b)|~(s)))&((e&~(k))&b)))
1
0
0
0
entailment
~((r|~(~(k))))
~((k&(l&k)))
1
1
0
0
entailment
~((r|e))
~((k&(l&k)))
0
0
0
0
not entailment
~((r|~(~(k))))
~((~(((r&b)|~(s)))&((e&~(k))&b)))
0
0
0
0
not entailment
(~((l>(k&s)))&(((k>s)>e)&(r&b)))
(((l>s)>((r>b)>(r&r)))&r)
1
1
1
0
entailment
~((k|e))
((l|(~(e)|(k>l)))&~(k))
1
0
0
0
entailment
(~((l>(k&s)))&(((k>s)>e)&(r&b)))
((l|(~(e)|(k>l)))&~(k))
0
1
1
0
not entailment
~((k|e))
(((l>s)>((r>b)>(r&r)))&r)
0
0
0
0
not entailment
~((((l&r)|r)>s))
((((l>(k&k))|s)&r)|(b>l))
1
0
0
0
entailment
~((e>(l|(s&l))))
((b&(l&k))|e)
1
1
0
0
entailment
~((((l&r)|r)>s))
((b&(l&k))|e)
0
1
0
0
not entailment
~((e>(l|(s&l))))
((((l>(k&k))|s)&r)|(b>l))
0
0
0
0
not entailment
((s|(s>j))>(m&(g>(z|x))))
(m|z)
1
1
1
1
entailment
((s>(z&g))&(~(z)|i))
(~((z&((d>j)|j)))|((k|k)>(s>g)))
1
0
0
0
entailment
((s|(s>j))>(m&(g>(z|x))))
(~((z&((d>j)|j)))|((k|k)>(s>g)))
0
0
0
0
not entailment
((s>(z&g))&(~(z)|i))
(m|z)
0
1
0
0
not entailment
(m&((i&(d|(j&d)))&~(((z>z)>(i>k)))))
((g&x)|(s|(k>~(d))))
1
1
0
0
entailment
~(~(g))
(k|g)
1
1
0
0
entailment
(m&((i&(d|(j&d)))&~(((z>z)>(i>k)))))
(k|g)
0
1
0
0
not entailment
~(~(g))
((g&x)|(s|(k>~(d))))
0
0
0
0
not entailment
((m>s)&((g&m)|(g&i)))
(g|~((i>~((~((i&m))>i)))))
1
0
1
1
entailment
(m&k)
(~(m)>(x|(x|~(g))))
1
0
0
0
entailment
((m>s)&((g&m)|(g&i)))
(~(m)>(x|(x|~(g))))
0
1
0
0
not entailment
(m&k)
(g|~((i>~((~((i&m))>i)))))
0
0
0
0
not entailment
((~(~(((m|m)&g)))>(m|x))>~(~(s)))
((d|(m>s))&s)
1
1
0
0
entailment
(~((z>k))|(z|z))
(~((((~(d)|x)>(m&x))>z))>((x>s)>(d|g)))
1
0
0
0
entailment
((~(~(((m|m)&g)))>(m|x))>~(~(s)))
(~((((~(d)|x)>(m&x))>z))>((x>s)>(d|g)))
0
0
0
0
not entailment
(~((z>k))|(z|z))
((d|(m>s))&s)
0
1
0
0
not entailment
((i|s)&d)
(i|s)
1
1
1
1
entailment
~(((~(m)>(m|z))>j))
(~(~(j))>(g&(d|s)))
1
1
0
0
entailment
((i|s)&d)
(~(~(j))>(g&(d|s)))
0
0
0
0
not entailment
~(((~(m)>(m|z))>j))
(i|s)
0
1
0
0
not entailment
~(g)
~((g&d))
1
0
0
0
entailment
((d>m)>(z&x))
(((~((i>z))>i)>d)|(~(x)|z))
1
0
0
0
entailment
~(g)
(((~((i>z))>i)>d)|(~(x)|z))
0
0
0
0
not entailment
((d>m)>(z&x))
~((g&d))
0
1
0
0
not entailment
(z&((k&s)&(x|(s>j))))
(g>z)
1
1
0
0
entailment
~(((((d&d)|(m&~(m)))>z)>~(x)))
~(~((~(~(~((~(j)>i))))|(x|d))))
1
0
0
0
entailment
(z&((k&s)&(x|(s>j))))
~(~((~(~(~((~(j)>i))))|(x|d))))
0
0
0
0
not entailment
~(((((d&d)|(m&~(m)))>z)>~(x)))
(g>z)
0
1
0
0
not entailment
(((i|(k|x))>s)&i)
(~(~((~((d>s))|(i&i))))|(g&(m&s)))
1
0
0
0
entailment
(((g&((m|s)>k))>(g|(j&m)))>~(z))
((s&z)>(z&d))
1
1
0
0
entailment
(((i|(k|x))>s)&i)
((s&z)>(z&d))
0
1
0
0
not entailment
(((g&((m|s)>k))>(g|(j&m)))>~(z))
(~(~((~((d>s))|(i&i))))|(g&(m&s)))
0
0
0
0
not entailment
(i&((i|((k>m)>g))>~(~((~(m)>(g>z))))))
~(~(i))
1
1
1
1
entailment
(d&~(m))
((i>s)|((s|g)|((k|j)|d)))
1
0
0
0
entailment
(i&((i|((k>m)>g))>~(~((~(m)>(g>z))))))
((i>s)|((s|g)|((k|j)|d)))
0
1
0
0
not entailment
(d&~(m))
~(~(i))
0
1
0
0
not entailment
((((d|k)>(d|(m|k)))>((j&g)&i))&(x|j))
(((~(s)|z)&(~(k)|g))|g)
1
1
0
0
entailment
(~(x)&(d>~(d)))
((i>~((m>(x&j))))|~(((j|d)&m)))
1
0
0
0
entailment
((((d|k)>(d|(m|k)))>((j&g)&i))&(x|j))
((i>~((m>(x&j))))|~(((j|d)&m)))
0
1
1
0
not entailment
(~(x)&(d>~(d)))
(((~(s)|z)&(~(k)|g))|g)
0
0
0
0
not entailment
(i&g)
((i&(i>m))>(j>g))
1
0
0
0
entailment
((d&i)&((g&z)>(((g&j)|(i>z))&(z|~(j)))))
((m|j)|((x&z)|d))
1
1
0
0
entailment
(i&g)
((m|j)|((x&z)|d))
0
0
0
0
not entailment
((d&i)&((g&z)>(((g&j)|(i>z))&(z|~(j)))))
((i&(i>m))>(j>g))
0
1
0
0
not entailment
~((x&(g|k)))
(((x>s)|((s&d)|~((k|j))))|(d>j))
1
0
0
0
entailment
(i&k)
(((~((x|s))&~((g>(m|i))))&(x>x))>z)
1
0
0
0
entailment
~((x&(g|k)))
(((~((x|s))&~((g>(m|i))))&(x>x))>z)
0
0
0
0
not entailment
(i&k)
(((x>s)|((s&d)|~((k|j))))|(d>j))
0
0
0
0
not entailment
(i&j)
((((x>x)>(k&s))>j)>i)
1
0
0
0
entailment
(d>~(((z>(x>s))|~((i|~((j&~(k))))))))
(((s&d)&(((~(d)>z)&k)&x))>~((m|g)))
1
1
0
0
entailment
(i&j)
(((s&d)&(((~(d)>z)&k)&x))>~((m|g)))
0
0
0
0
not entailment
(d>~(((z>(x>s))|~((i|~((j&~(k))))))))
((((x>x)>(k&s))>j)>i)
0
1
1
0
not entailment
~((((x&g)|~((j&x)))>~(i)))
(~(d)|(s>i))
1
1
0
0
entailment
(m&j)
(s>m)
1
1
0
0
entailment
~((((x&g)|~((j&x)))>~(i)))
(s>m)
0
1
0
0
not entailment
(m&j)
(~(d)|(s>i))
0
0
0
0
not entailment
(((x|(i&z))&s)&(d&~(~(~(~(j))))))
(z>(((d>z)&s)|d))
1
1
1
0
entailment
((((g&s)>s)&~((s|m)))&(((x&k)|k)&i))
((~((~(i)&(s>(z&j))))&((m>i)>(s>x)))&k)
1
0
0
0
entailment
(((x|(i&z))&s)&(d&~(~(~(~(j))))))
((~((~(i)&(s>(z&j))))&((m>i)>(s>x)))&k)
0
0
0
0
not entailment
((((g&s)>s)&~((s|m)))&(((x&k)|k)&i))
(z>(((d>z)&s)|d))
0
1
0
0
not entailment
~((((k|(j|k))&d)|s))
(((j>z)&(i&s))>((d>m)|j))
1
0
0
0
entailment
((j|(j&i))>~(((m&z)>(j|(s>k)))))
(((((s&g)>k)&j)>z)|(~(z)>i))
1
1
0
0
entailment
~((((k|(j|k))&d)|s))
(((((s&g)>k)&j)>z)|(~(z)>i))
0
0
0
0
not entailment
((j|(j&i))>~(((m&z)>(j|(s>k)))))
(((j>z)&(i&s))>((d>m)|j))
0
1
0
0
not entailment