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
((((x&x)&(c|y))>y)&((c&p)&~((x|(n&j)))))
((p|j)|x)
1
1
1
0
entailment
~(c)
((p|j)|x)
0
0
0
0
not entailment
((((x&x)&(c|y))>y)&((c&p)&~((x|(n&j)))))
~(c)
0
1
1
1
not entailment
(((a>a)&~(((~(c)&n)>y)))&((n>~(j))&p))
(((p|a)|~(~(t)))|c)
1
1
0
0
entailment
~((((t|y)&(p>x))|a))
((t|p)>(t>(t>~(((x>y)>~(((x>a)|c)))))))
1
0
0
0
entailment
(((a>a)&~(((~(c)&n)>y)))&((n>~(j))&p))
((t|p)>(t>(t>~(((x>y)>~(((x>a)|c)))))))
0
1
0
0
not entailment
~((((t|y)&(p>x))|a))
(((p|a)|~(~(t)))|c)
0
1
0
0
not entailment
~((c|(~(~((p|n)))>(j|(x|c)))))
~(((y>(p|~(p)))&(~((a>t))&c)))
1
1
0
0
entailment
(y&c)
((y|((n|j)&a))|~((~((c>y))|(x|~(x)))))
1
0
0
0
entailment
~((c|(~(~((p|n)))>(j|(x|c)))))
((y|((n|j)&a))|~((~((c>y))|(x|~(x)))))
0
0
0
0
not entailment
(y&c)
~(((y>(p|~(p)))&(~((a>t))&c)))
0
0
0
0
not entailment
(~((n&~(~((j>(y&y))))))&~(c))
(~((n&c))|((~(p)>((x|~(x))|n))>y))
1
0
0
0
entailment
((x&j)&(((t|j)&n)&(j>j)))
(j|~(t))
1
1
1
0
entailment
(~((n&~(~((j>(y&y))))))&~(c))
(j|~(t))
0
1
0
0
not entailment
((x&j)&(((t|j)&n)&(j>j)))
(~((n&c))|((~(p)>((x|~(x))|n))>y))
0
0
0
0
not entailment
~(((t>c)|n))
(t|(c&y))
1
1
0
0
entailment
(y&(y>n))
(n|j)
1
1
0
0
entailment
~(((t>c)|n))
(n|j)
0
1
0
0
not entailment
(y&(y>n))
(t|(c&y))
0
1
0
0
not entailment
(n&((j&t)&j))
((c&y)>t)
1
1
0
0
entailment
((j&p)|p)
((((c&j)>p)|x)&(~(a)|a))
1
0
0
0
entailment
(n&((j&t)&j))
((((c&j)>p)|x)&(~(a)|a))
0
0
0
0
not entailment
((j&p)|p)
((c&y)>t)
0
1
0
0
not entailment
(j&~((c|p)))
(~(x)>~(c))
1
1
0
0
entailment
~(~(~(~(((y&((a&y)|c))&t)))))
(((y>n)|(t&(y|t)))|p)
1
1
0
0
entailment
(j&~((c|p)))
(((y>n)|(t&(y|t)))|p)
0
0
0
0
not entailment
~(~(~(~(((y&((a&y)|c))&t)))))
(~(x)>~(c))
0
1
0
0
not entailment
(j&n)
(((x>j)|(y&(n>y)))|((j&n)&c))
1
0
0
0
entailment
~(((p&(p&t))|((a|c)>((t|a)|((n&x)>j)))))
(((t>j)&j)>(p&t))
1
1
1
0
entailment
(j&n)
(((t>j)&j)>(p&t))
0
0
0
0
not entailment
~(((p&(p&t))|((a|c)>((t|a)|((n&x)>j)))))
(((x>j)|(y&(n>y)))|((j&n)&c))
0
1
0
0
not entailment
(((u&~((c&(o>y))))&~(d))&p)
(((c&~(z))>~((c&z)))>u)
1
1
0
0
entailment
(((((r&t)>((y>c)&u))>~((c>c)))&b)&d)
~(~((d|b)))
1
1
1
1
entailment
(((u&~((c&(o>y))))&~(d))&p)
~(~((d|b)))
0
1
0
0
not entailment
(((((r&t)>((y>c)&u))>~((c>c)))&b)&d)
(((c&~(z))>~((c&z)))>u)
0
1
0
0
not entailment
~(((~(c)>y)&(c|((c>y)|z))))
(y>(r&z))
1
1
0
0
entailment
(d&b)
(b|p)
1
1
0
0
entailment
~(((~(c)>y)&(c|((c>y)|z))))
(b|p)
0
1
0
0
not entailment
(d&b)
(y>(r&z))
0
0
0
0
not entailment
((z|p)&b)
(~((t>(b&(o>((p&c)&o)))))>o)
1
0
0
0
entailment
((r|(d|b))&(z&t))
(((z&c)|z)|(~((~((b&y))>(c>o)))>r))
1
0
0
0
entailment
((z|p)&b)
(((z&c)|z)|(~((~((b&y))>(c>o)))>r))
0
0
0
0
not entailment
((r|(d|b))&(z&t))
(~((t>(b&(o>((p&c)&o)))))>o)
0
0
0
0
not entailment
(~(c)&b)
~((c&(p>~(u))))
1
0
0
0
entailment
(((~(~(~((r|r))))|(r>(d>o)))>t)&t)
((t|p)|(((b|y)>~((~(z)&d)))>t))
1
1
0
0
entailment
(~(c)&b)
((t|p)|(((b|y)>~((~(z)&d)))>t))
0
0
0
0
not entailment
(((~(~(~((r|r))))|(r>(d>o)))>t)&t)
~((c&(p>~(u))))
0
1
0
0
not entailment
~((~((~(b)&d))|((y>~(c))|(r>t))))
(~(~(t))|c)
1
1
1
0
entailment
~((~(((u|d)|z))>(~((t>~(o)))|y)))
~(~((o>(d>u))))
1
1
1
0
entailment
~((~((~(b)&d))|((y>~(c))|(r>t))))
~(~((o>(d>u))))
0
1
0
0
not entailment
~((~(((u|d)|z))>(~((t>~(o)))|y)))
(~(~(t))|c)
0
1
0
0
not entailment
(d|d)
(~(d)>~((p>d)))
1
0
0
0
entailment
~((~(~(r))>(b>c)))
((o|p)>(~(c)>b))
1
1
0
0
entailment
(d|d)
((o|p)>(~(c)>b))
0
0
0
0
not entailment
~((~(~(r))>(b>c)))
(~(d)>~((p>d)))
0
1
0
0
not entailment
((y|(b&r))&p)
(y|b)
1
1
1
1
entailment
(((t&u)&p)&((z>z)|r))
(((t>c)&z)>u)
1
1
0
0
entailment
((y|(b&r))&p)
(((t>c)&z)>u)
0
1
0
0
not entailment
(((t&u)&p)&((z>z)|r))
(y|b)
0
1
0
0
not entailment
(r&r)
((d|(((o>r)>p)>~(~((p|(y&t))))))|p)
1
0
0
0
entailment
(b&o)
(d|(o&b))
1
0
0
0
entailment
(r&r)
(d|(o&b))
0
0
0
0
not entailment
(b&o)
((d|(((o>r)>p)>~(~((p|(y&t))))))|p)
0
0
0
0
not entailment
((z|b)&~((d|z)))
(((((r|o)|c)|o)>((t&r)|u))|(r|b))
1
0
0
0
entailment
((((b|o)&(p&(t&c)))|t)&d)
(~((z>~((((u|b)>u)&(c&p)))))|(d|o))
1
0
0
0
entailment
((z|b)&~((d|z)))
(~((z>~((((u|b)>u)&(c&p)))))|(d|o))
0
0
0
0
not entailment
((((b|o)&(p&(t&c)))|t)&d)
(((((r|o)|c)|o)>((t&r)|u))|(r|b))
0
0
0
0
not entailment
~(((r&(c>c))>((p>c)|(d&u))))
(z>(p|((~(~(t))|(o>y))|y)))
1
1
0
0
entailment
((d|(((b&p)&t)&o))&((r>r)>u))
((o|d)|~(~(~((c|b)))))
1
1
0
0
entailment
~(((r&(c>c))>((p>c)|(d&u))))
((o|d)|~(~(~((c|b)))))
0
1
0
0
not entailment
((d|(((b&p)&t)&o))&((r>r)>u))
(z>(p|((~(~(t))|(o>y))|y)))
0
1
0
0
not entailment
~((z>((o>((y&r)&(u&o)))|(u>c))))
(u|t)
1
1
0
0
entailment
(p&(d>b))
((((t|o)>(~(u)|t))&(t|b))|(r|p))
1
0
0
0
entailment
~((z>((o>((y&r)&(u&o)))|(u>c))))
((((t|o)>(~(u)|t))&(t|b))|(r|p))
0
1
0
0
not entailment
(p&(d>b))
(u|t)
0
1
0
0
not entailment
~(((~(~((y|o)))&((c>c)&(p>t)))>p))
(~(((p>o)|~((b>(o&(c|z))))))>(y>u))
1
1
0
0
entailment
(p&z)
~(~((~((o&o))|((o&(u>b))|(o>p)))))
1
0
0
0
entailment
~(((~(~((y|o)))&((c>c)&(p>t)))>p))
~(~((~((o&o))|((o&(u>b))|(o>p)))))
0
1
0
0
not entailment
(p&z)
(~(((p>o)|~((b>(o&(c|z))))))>(y>u))
0
0
0
0
not entailment
~(((p>~(y))>o))
((o&y)>p)
1
1
1
0
entailment
(r&u)
(~((z>~((z>c))))>((z&c)&(b>u)))
1
0
0
0
entailment
~(((p>~(y))>o))
(~((z>~((z>c))))>((z&c)&(b>u)))
0
0
0
0
not entailment
(r&u)
((o&y)>p)
0
0
0
0
not entailment
((z&u)&c)
(((b|c)>(~(t)|o))>c)
1
0
0
0
entailment
((c>p)&(o&z))
((o&z)&(o|d))
1
1
0
0
entailment
((z&u)&c)
((o&z)&(o|d))
0
0
0
0
not entailment
((c>p)&(o&z))
(((b|c)>(~(t)|o))>c)
0
0
0
0
not entailment
~((u>(y>c)))
(u|t)
1
1
0
0
entailment
~((c>~((((p|(r>o))&c)&((t>b)>y)))))
~(~(c))
1
1
1
1
entailment
~((u>(y>c)))
~(~(c))
0
1
1
0
not entailment
~((c>~((((p|(r>o))&c)&((t>b)>y)))))
(u|t)
0
1
0
0
not entailment
(y&r)
(y|(p&u))
1
0
0
0
entailment
(c&~((r|(b>(b>u)))))
(c>~(r))
1
1
1
0
entailment
(y&r)
(c>~(r))
0
0
0
0
not entailment
(c&~((r|(b>(b>u)))))
(y|(p&u))
0
1
0
0
not entailment
~(((((t|y)|u)|(y&p))&u))
((r>((c|b)|(y|b)))>(((p|p)&(t&u))>(y|b)))
1
0
0
0
entailment
(((c&u)&(c&t))&((r&(t&o))|(d&b)))
((~((~(o)>(c&(c|t))))>(y|p))|(t|(y|u)))
1
0
0
0
entailment
~(((((t|y)|u)|(y&p))&u))
((~((~(o)>(c&(c|t))))>(y|p))|(t|(y|u)))
0
0
0
0
not entailment
(((c&u)&(c&t))&((r&(t&o))|(d&b)))
((r>((c|b)|(y|b)))>(((p|p)&(t&u))>(y|b)))
0
0
0
0
not entailment
~(((t|u)|~(~(((b|p)&b)))))
~((u&r))
1
1
0
0
entailment