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
(z&(n&a))
(a>(a>~((j>~(((z&y)&s))))))
0
0
0
0
not entailment
(~(~(((j>n)|((s&a)|j))))&~(((y&j)|a)))
(((j|u)|(z&s))|a)
0
1
0
0
not entailment
(~((y|(y>n)))|a)
(a|(a&y))
1
1
1
1
entailment
~((((n|y)&(z&n))|(((y>n)&n)>s)))
(s|(y|n))
1
1
1
0
entailment
(~((y|(y>n)))|a)
(s|(y|n))
0
1
0
0
not entailment
~((((n|y)&(z&n))|(((y>n)&n)>s)))
(a|(a&y))
0
1
0
0
not entailment
~((s>~(j)))
((r>a)|((j>(j|y))>(((r&a)|n)|((u|j)|y))))
1
0
0
0
entailment
(~((((s>z)|n)&(j|j)))&(~((a>a))>(r|z)))
((~(a)|((j&j)|y))>(a>(n>(n&~(j)))))
1
1
0
0
entailment
~((s>~(j)))
((~(a)|((j&j)|y))>(a>(n>(n&~(j)))))
0
0
0
0
not entailment
(~((((s>z)|n)&(j|j)))&(~((a>a))>(r|z)))
((r>a)|((j>(j|y))>(((r&a)|n)|((u|j)|y))))
0
1
0
0
not entailment
((n|(y&y))&a)
((~((a&r))&j)>((r>r)>a))
1
0
0
0
entailment
~((~(((n>(z&y))&u))|((s>(r&s))|(r|n))))
((r>(u|s))|u)
1
1
1
1
entailment
((n|(y&y))&a)
((r>(u|s))|u)
0
1
0
0
not entailment
~((~(((n>(z&y))&u))|((s>(r&s))|(r|n))))
((~((a&r))&j)>((r>r)>a))
0
1
0
0
not entailment
(~(((a>(~(r)|j))|((u>~(a))>n)))|a)
~((~(a)&(z>(~(a)&(y>(a|y))))))
1
1
0
0
entailment
(((j&j)|(z>j))&~((z&a)))
((z>j)|(~(~(r))&n))
1
1
0
0
entailment
(~(((a>(~(r)|j))|((u>~(a))>n)))|a)
((z>j)|(~(~(r))&n))
0
1
0
0
not entailment
(((j&j)|(z>j))&~((z&a)))
~((~(a)&(z>(~(a)&(y>(a|y))))))
0
0
0
0
not entailment
(g&(g>g))
(g|g)
1
1
1
1
entailment
(~(g)&~(g))
(~(~((g|~((g&g)))))&~((g&g)))
1
0
1
0
entailment
(g&(g>g))
(~(~((g|~((g&g)))))&~((g&g)))
0
0
1
1
not entailment
(~(g)&~(g))
(g|g)
0
1
1
0
not entailment
(~((g&g))>~(((g|g)>~((g|(g|g))))))
(~(((g>g)|(((((g>g)&g)&g)&g)&(g&g))))|g)
1
0
1
0
entailment
~((~(((g&g)&~(g)))&((g|~(g))>g)))
~(((g&((g&~((g|g)))|g))&g))
1
1
1
1
entailment
(~((g&g))>~(((g|g)>~((g|(g|g))))))
~(((g&((g&~((g|g)))|g))&g))
0
1
1
0
not entailment
~((~(((g&g)&~(g)))&((g|~(g))>g)))
(~(((g>g)|(((((g>g)&g)&g)&g)&(g&g))))|g)
0
0
1
1
not entailment
(((m&m)>~(((m|m)|~(m))))>~((m>m)))
((m&m)|(m&(m>m)))
1
1
1
1
entailment
(m>~(~(~(((m>(m|m))>m)))))
~(m)
1
1
1
1
entailment
(((m&m)>~(((m|m)|~(m))))>~((m>m)))
~(m)
0
1
1
1
not entailment
(m>~(~(~(((m>(m|m))>m)))))
((m&m)|(m&(m>m)))
0
1
1
1
not entailment
(m&(m&((m|m)|m)))
(~((~(m)&(m&m)))>(m|m))
1
0
1
0
entailment
(m>~((~(m)|(m>(m|(m>m))))))
((m&m)>~(~(~(((m|m)>m)))))
1
1
1
1
entailment
(m&(m&((m|m)|m)))
((m&m)>~(~(~(((m|m)>m)))))
0
0
1
0
not entailment
(m>~((~(m)|(m>(m|(m>m))))))
(~((~(m)&(m&m)))>(m|m))
0
1
1
1
not entailment
(((~((m&(m>(m&m))))>m)&(m&(m&m)))|(m&m))
(~(m)>((~(m)>m)|~(~((m|m)))))
1
1
1
1
entailment
~((m|(((m&m)>m)&m)))
~((m|m))
1
1
1
1
entailment
(((~((m&(m>(m&m))))>m)&(m&(m&m)))|(m&m))
~((m|m))
0
1
1
1
not entailment
~((m|(((m&m)>m)&m)))
(~(m)>((~(m)>m)|~(~((m|m)))))
0
0
1
1
not entailment
(m|m)
~(~(m))
1
0
1
1
entailment
((m&(m>(m&m)))>(~((m|m))|~(m)))
((~((m|(m>m)))>m)&(~(m)&~(m)))
1
1
1
1
entailment
(m|m)
((~((m|(m>m)))>m)&(~(m)&~(m)))
0
0
1
0
not entailment
((m&(m>(m&m)))>(~((m|m))|~(m)))
~(~(m))
0
1
1
1
not entailment
~(((u>l)|(v>l)))
((((y|l)&v)>u)|y)
1
1
0
0
entailment
~(~(k))
~((u&~((~((i&y))|k))))
1
0
0
0
entailment
~(((u>l)|(v>l)))
~((u&~((~((i&y))|k))))
0
0
0
0
not entailment
~(~(k))
((((y|l)&v)>u)|y)
0
0
0
0
not entailment
(v&~(~(n)))
(((r|(y|u))&(l|z))>(b|(i|v)))
1
0
0
0
entailment
(v>(~(v)&(r&v)))
~((~(~(v))&y))
1
1
0
0
entailment
(v&~(~(n)))
~((~(~(v))&y))
0
0
0
0
not entailment
(v>(~(v)&(r&v)))
(((r|(y|u))&(l|z))>(b|(i|v)))
0
0
0
0
not entailment
~(~(((b>b)&(n&k))))
((k|v)|((k|r)>~(~((b&b)))))
1
0
0
0
entailment
~((z|l))
(~((~(y)&z))>~(z))
1
0
0
0
entailment
~(~(((b>b)&(n&k))))
(~((~(y)&z))>~(z))
0
1
0
0
not entailment
~((z|l))
((k|v)|((k|r)>~(~((b&b)))))
0
0
0
0
not entailment
(k&(~(~((~(b)>(b>u))))&~((z|y))))
((~(y)>u)>(~(((v|(~(z)|v))|n))>(r|l)))
1
0
0
0
entailment
((i|r)>(~((r|v))|z))
((l>k)>(~((v>u))>((((l|k)>k)&(r>u))|z)))
1
0
0
0
entailment
(k&(~(~((~(b)>(b>u))))&~((z|y))))
((l>k)>(~((v>u))>((((l|k)>k)&(r>u))|z)))
0
0
0
0
not entailment
((i|r)>(~((r|v))|z))
((~(y)>u)>(~(((v|(~(z)|v))|n))>(r|l)))
0
0
0
0
not entailment
(((z>(v|l))>u)&l)
~(~(((n>(y>n))>(l&(((b|u)>(r>k))>l)))))
1
0
0
0
entailment
(n&((y&(~(v)>i))|((i>b)|~((b&b)))))
(~(~((u>~(z))))|n)
1
1
0
0
entailment
(((z>(v|l))>u)&l)
(~(~((u>~(z))))|n)
0
0
0
0
not entailment
(n&((y&(~(v)>i))|((i>b)|~((b&b)))))
~(~(((n>(y>n))>(l&(((b|u)>(r>k))>l)))))
0
0
0
0
not entailment
(((r>(n&(b&l)))&r)&(k>~((v|l))))
(~((v|~(u)))>(((l>l)&b)&l))
1
1
0
0
entailment
((~(n)&~((k&y)))&(z&(l&i)))
(i|u)
1
1
0
0
entailment
(((r>(n&(b&l)))&r)&(k>~((v|l))))
(i|u)
0
1
0
0
not entailment
((~(n)&~((k&y)))&(z&(l&i)))
(~((v|~(u)))>(((l>l)&b)&l))
0
1
0
0
not entailment
(k&(k>v))
(k>~(((u>~(~(b)))&~((v|(b|y))))))
1
0
0
0
entailment
(~(~(((r|(i>n))&(b>u))))>(i&n))
(i|b)
1
1
1
1
entailment
(k&(k>v))
(i|b)
0
1
0
0
not entailment
(~(~(((r|(i>n))&(b>u))))>(i&n))
(k>~(((u>~(~(b)))&~((v|(b|y))))))
0
0
0
0
not entailment
(((~(v)|~(~((i&r))))&z)&~((i|u)))
(((~(~(i))&(z|~((l>u))))>v)|~((r&b)))
1
0
0
0
entailment
((b|y)&r)
((b&(k>(l&k)))>(r|((n>v)|y)))
1
0
0
0
entailment
(((~(v)|~(~((i&r))))&z)&~((i|u)))
((b&(k>(l&k)))>(r|((n>v)|y)))
0
1
0
0
not entailment
((b|y)&r)
(((~(~(i))&(z|~((l>u))))>v)|~((r&b)))
0
0
0
0
not entailment
~((((l|v)>r)|(b>((y|y)&(z>i)))))
((~(l)|((n|k)|r))>b)
1
1
0
0
entailment
(((y&(~(v)>n))&((u>r)|((n|y)&r)))&k)
((y|(~((i>k))>(z|v)))|z)
1
1
0
0
entailment
~((((l|v)>r)|(b>((y|y)&(z>i)))))
((y|(~((i>k))>(z|v)))|z)
0
1
0
0
not entailment
(((y&(~(v)>n))&((u>r)|((n|y)&r)))&k)
((~(l)|((n|k)|r))>b)
0
1
0
0
not entailment
~(((r>i)>(((n|(b>i))&(v>(l&i)))>(z|l))))
(y|(l>y))
1
1
0
0
entailment
(~(~(~(((v&~(b))>k))))&(l>v))
(y>(z|v))
1
1
0
0
entailment
~(((r>i)>(((n|(b>i))&(v>(l&i)))>(z|l))))
(y>(z|v))
0
1
0
0
not entailment
(~(~(~(((v&~(b))>k))))&(l>v))
(y|(l>y))
0
1
0
0
not entailment
(y&b)
(~(((v|(i|z))|v))>(((~(k)|(b&v))>b)|v))
1
0
0
0
entailment
((((n&(i&r))&r)|n)&~(b))
((b>~(((z&l)|(b|n))))|n)
1
1
0
0
entailment
(y&b)
((b>~(((z&l)|(b|n))))|n)
0
0
0
0
not entailment
((((n&(i&r))&r)|n)&~(b))
(~(((v|(i|z))|v))>(((~(k)|(b&v))>b)|v))
0
0
0
0
not entailment
~(((k&i)>(~(r)&(u|k))))
(z>(u|(r|y)))
1
1
0
0
entailment
~(((u|z)>(y|~((n&~((b>u)))))))
~((y&z))
1
1
1
0
entailment
~(((k&i)>(~(r)&(u|k))))
~((y&z))
0
1
0
0
not entailment
~(((u|z)>(y|~((n&~((b>u)))))))
(z>(u|(r|y)))
0
1
0
0
not entailment
~((l|(v|(~((i>b))|~((b&~(k)))))))
(b|r)
1
1
0
0
entailment
((r>~(k))&((~((y>(v|r)))&(~(y)|k))&u))
~(((y&n)&((~(n)>b)&(b&r))))
1
1
0
0
entailment
~((l|(v|(~((i>b))|~((b&~(k)))))))
~(((y&n)&((~(n)>b)&(b&r))))
0
1
0
0
not entailment
((r>~(k))&((~((y>(v|r)))&(~(y)|k))&u))
(b|r)
0
1
0
0
not entailment
((r&(l>i))&(r>l))
((z|l)|(r>b))
1
1
0
0
entailment
(n&~((u&((i&y)>l))))
(((y|u)&(((r|(y|i))|(n|n))>b))>((r|n)&y))
1
0
0
0
entailment
((r&(l>i))&(r>l))
(((y|u)&(((r|(y|i))|(n|n))>b))>((r|n)&y))
0
0
0
0
not entailment
(n&~((u&((i&y)>l))))
((z|l)|(r>b))
0
1
0
0
not entailment
(r&v)
~(~(((k&v)>((y&r)|((~(u)&r)|u)))))
1
0
0
0
entailment
(~(~((n>v)))&(k&(n&z)))
((v>z)|~(~(l)))
1
1
0
0
entailment