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
~(~(a))
((~(q)|(l>~((a>a))))|a)
1
0
0
0
entailment
(~((k|(n&n)))&q)
((~(q)|(l>~((a>a))))|a)
0
0
0
0
not entailment
~(~(a))
(k>x)
0
1
0
0
not entailment
~((((n&g)>~(x))|(x>a)))
~((a&~(~((k&x)))))
1
1
0
0
entailment
~((~(g)>(((k>h)|l)>(((k&a)&x)>q))))
(~((h&~(g)))>k)
1
1
1
1
entailment
~((((n&g)>~(x))|(x>a)))
(~((h&~(g)))>k)
0
1
0
0
not entailment
~((~(g)>(((k>h)|l)>(((k&a)&x)>q))))
~((a&~(~((k&x)))))
0
1
1
0
not entailment
(~(~((h|x)))&~((l&a)))
((a>l)>((n>((h>(l>((n>x)&q)))&l))>(x|h)))
1
0
0
0
entailment
~((~((t>l))>n))
~((n&~((n>l))))
1
1
1
0
entailment
(~(~((h|x)))&~((l&a)))
~((n&~((n>l))))
0
1
0
0
not entailment
~((~((t>l))>n))
((a>l)>((n>((h>(l>((n>x)&q)))&l))>(x|h)))
0
0
0
0
not entailment
(q|q)
((x&((n|n)&t))|(q|(l&k)))
1
0
0
0
entailment
~((q|l))
(~(l)|((l>~(~(h)))&(h>x)))
1
0
0
0
entailment
(q|q)
(~(l)|((l>~(~(h)))&(h>x)))
0
0
0
0
not entailment
~((q|l))
((x&((n|n)&t))|(q|(l&k)))
0
0
0
0
not entailment
~((h|~((((t&x)&l)&q))))
(((k|g)>k)>(q|((n>~(t))>(x&l))))
1
0
0
0
entailment
~(((~(k)&h)|(q|x)))
~(q)
1
1
1
1
entailment
~((h|~((((t&x)&l)&q))))
~(q)
0
1
1
0
not entailment
~(((~(k)&h)|(q|x)))
(((k|g)>k)>(q|((n>~(t))>(x&l))))
0
0
0
0
not entailment
((t&(q|g))&(~((g>(h&(t&h))))>t))
((k&(t>n))>(~(t)>(x>q)))
1
1
0
0
entailment
(x&a)
((~(k)&x)|((q>(k|(h>x)))|~(n)))
1
0
0
0
entailment
((t&(q|g))&(~((g>(h&(t&h))))>t))
((~(k)&x)|((q>(k|(h>x)))|~(n)))
0
1
0
0
not entailment
(x&a)
((k&(t>n))>(~(t)>(x>q)))
0
0
0
0
not entailment
(a>((a&g)&l))
((~(a)|(l|k))&~(~(((~(g)|g)|~(a)))))
1
0
0
0
entailment
((~(x)|t)&(t&(l>a)))
((k>t)|q)
1
1
0
0
entailment
(a>((a&g)&l))
((k>t)|q)
0
1
0
0
not entailment
((~(x)|t)&(t&(l>a)))
((~(a)|(l|k))&~(~(((~(g)|g)|~(a)))))
0
0
0
0
not entailment
(t&(k>t))
~(~((t|(h|(g&q)))))
1
0
0
0
entailment
(n&x)
((k|(a|n))&x)
1
0
0
0
entailment
(t&(k>t))
((k|(a|n))&x)
0
0
0
0
not entailment
(n&x)
~(~((t|(h|(g&q)))))
0
0
0
0
not entailment
(((k&t)&q)&x)
(((h&x)|(n&g))|(k&(k|q)))
1
0
0
0
entailment
(((a&x)|k)&~(~((n&~(h)))))
(t>(k>(~((((a&a)&t)&(g&x)))>n)))
1
0
0
0
entailment
(((k&t)&q)&x)
(t>(k>(~((((a&a)&t)&(g&x)))>n)))
0
0
0
0
not entailment
(((a&x)|k)&~(~((n&~(h)))))
(((h&x)|(n&g))|(k&(k|q)))
0
1
0
0
not entailment
((h&(a|((t>x)>h)))&n)
(((~(k)|x)>((g>h)|t))|t)
1
0
0
0
entailment
~(((~(l)>~((h>(q&~(h)))))|a))
~(~((l>a)))
1
1
1
0
entailment
((h&(a|((t>x)>h)))&n)
~(~((l>a)))
0
1
0
0
not entailment
~(((~(l)>~((h>(q&~(h)))))|a))
(((~(k)|x)>((g>h)|t))|t)
0
1
0
0
not entailment
~(((h|~(q))&((t|l)>~(n))))
(((~((n|l))>(a|q))|(q&~(h)))|(h&x))
1
0
0
0
entailment
(t|~(~(a)))
(t|a)
1
1
1
1
entailment
~(((h|~(q))&((t|l)>~(n))))
(t|a)
0
1
0
0
not entailment
(t|~(~(a)))
(((~((n|l))>(a|q))|(q&~(h)))|(h&x))
0
0
0
0
not entailment
(s>c)
~(((y&~(c))&s))
1
0
0
0
entailment
(r|((((c&s)&t)|r)&((t|t)|r)))
(~(~((c|r)))&((c>s)|~(~(r))))
1
0
1
0
entailment
(s>c)
(~(~((c|r)))&((c>s)|~(~(r))))
0
0
0
0
not entailment
(r|((((c&s)&t)|r)&((t|t)|r)))
~(((y&~(c))&s))
0
1
0
0
not entailment
~((r>(y|s)))
((s|(s|r))>((c|(c|s))>((y|y)|r)))
1
0
0
0
entailment
~((((t>(~(s)&c))&(c|t))|((c&y)|~(s))))
((~(s)>((s>((s&t)>s))&t))|~((r&c)))
1
1
0
0
entailment
~((r>(y|s)))
((~(s)>((s>((s&t)>s))&t))|~((r&c)))
0
0
0
0
not entailment
~((((t>(~(s)&c))&(c|t))|((c&y)|~(s))))
((s|(s|r))>((c|(c|s))>((y|y)|r)))
0
1
0
0
not entailment
(c&t)
(((c>y)>y)|(r&((s>((t|y)>y))&(s&y))))
1
0
0
0
entailment
(((r|(t>t))>c)>(~((c&c))&s))
(r|~(c))
1
1
1
1
entailment
(c&t)
(r|~(c))
0
0
0
0
not entailment
(((r|(t>t))>c)>(~((c&c))&s))
(((c>y)>y)|(r&((s>((t|y)>y))&(s&y))))
0
0
0
0
not entailment
~(~((r&((r&s)&y))))
(s>~((r>~((c>r)))))
1
1
0
0
entailment
(c&s)
(((s&r)>s)>c)
1
0
0
0
entailment
~(~((r&((r&s)&y))))
(((s&r)>s)>c)
0
1
0
0
not entailment
(c&s)
(s>~((r>~((c>r)))))
0
0
0
0
not entailment
((((c>(s&t))>t)&(y>~(r)))>y)
(t>y)
1
1
1
1
entailment
(c&r)
((s>(s&(r|s)))&r)
1
0
0
0
entailment
((((c>(s&t))>t)&(y>~(r)))>y)
((s>(s&(r|s)))&r)
0
1
1
0
not entailment
(c&r)
(t>y)
0
1
0
0
not entailment
~(~(~(((r&t)|~(~((~(c)|t)))))))
(~(~(((s|r)&c)))|~(r))
1
1
0
0
entailment
~(~(((t&(c|t))&(~((t&s))>(y|y)))))
((c>(r>t))|(y&y))
1
1
0
0
entailment
~(~(~(((r&t)|~(~((~(c)|t)))))))
((c>(r>t))|(y&y))
0
1
0
0
not entailment
~(~(((t&(c|t))&(~((t&s))>(y|y)))))
(~(~(((s|r)&c)))|~(r))
0
1
0
0
not entailment
((t|((~(t)|c)|(r>(y|r))))>(((y&r)|r)|r))
(~(((s&~(((s&t)>y)))|r))>(t|r))
1
1
0
0
entailment
(s&c)
(t>s)
1
1
0
0
entailment
((t|((~(t)|c)|(r>(y|r))))>(((y&r)|r)|r))
(t>s)
0
1
0
0
not entailment
(s&c)
(~(((s&~(((s&t)>y)))|r))>(t|r))
0
0
0
0
not entailment
(~((r>c))&((s|t)|(y|y)))
~(~(((c|(c|~((~((t>y))|r))))>~(c))))
1
0
1
0
entailment
((y&y)&r)
((~((s&(y|c)))&c)|(s|y))
1
0
0
0
entailment
(~((r>c))&((s|t)|(y|y)))
((~((s&(y|c)))&c)|(s|y))
0
1
1
0
not entailment
((y&y)&r)
~(~(((c|(c|~((~((t>y))|r))))>~(c))))
0
0
0
0
not entailment
~(((r&(s&y))>(c&((s|((t>y)&t))|(c|c)))))
(~(r)|(~(t)>~((((c|r)|c)>~(s)))))
1
1
1
0
entailment
((y|y)>((s|t)&~(y)))
(y>~((t|y)))
1
1
1
0
entailment
~(((r&(s&y))>(c&((s|((t>y)&t))|(c|c)))))
(y>~((t|y)))
0
1
1
1
not entailment
((y|y)>((s|t)&~(y)))
(~(r)|(~(t)>~((((c|r)|c)>~(s)))))
0
0
0
0
not entailment
(~((t&s))&~(((r&r)>y)))
((~(((c>(c>s))>(c|r)))&~(t))>~((y|t)))
1
0
0
0
entailment
(y&s)
(y|((s&s)|y))
1
0
1
1
entailment
(~((t&s))&~(((r&r)>y)))
(y|((s&s)|y))
0
1
1
0
not entailment
(y&s)
((~(((c>(c>s))>(c|r)))&~(t))>~((y|t)))
0
0
0
0
not entailment
((s|r)&~(((c&(s>r))>(((c>(r|r))&c)&y))))
((~(((y>(y>s))&r))|((c&c)&t))>c)
1
1
0
0
entailment
(t&y)
(((t|s)|(r>t))>y)
1
0
0
0
entailment
((s|r)&~(((c&(s>r))>(((c>(r|r))&c)&y))))
(((t|s)|(r>t))>y)
0
1
0
0
not entailment
(t&y)
((~(((y>(y>s))&r))|((c&c)&t))>c)
0
0
0
0
not entailment
(t|c)
((y|(c|~(s)))|((c&s)|(s&~(~(t)))))
1
0
0
0
entailment
((s&r)&~((c&((~((s&c))&r)&c))))
((~(y)>~((r|r)))|(s|s))
1
1
0
0
entailment
(t|c)
((~(y)>~((r|r)))|(s|s))
0
0
0
0
not entailment
((s&r)&~((c&((~((s&c))&r)&c))))
((y|(c|~(s)))|((c&s)|(s&~(~(t)))))
0
0
0
0
not entailment
(s&(t&t))
((((s|y)>(r|t))|(t>~(y)))&((s&t)|r))
1
0
0
0
entailment
(t&~((t&c)))
~(((t&~(~(~(t))))|(c&t)))
1
0
1
1
entailment
(s&(t&t))
~(((t&~(~(~(t))))|(c&t)))
0
0
0
0
not entailment
(t&~((t&c)))
((((s|y)>(r|t))|(t>~(y)))&((s&t)|r))
0
0
0
0
not entailment
(t&(t|t))
(t|((p|t)>((p&p)>(t&(t>t)))))
1
0
0
0
entailment
((p|p)|((t>t)>(~(((t&p)>t))&(t&(p|p)))))
(t>~(((t|t)&(~(t)|~((p&(t>p)))))))
1
1
1
1
entailment
(t&(t|t))
(t>~(((t|t)&(~(t)|~((p&(t>p)))))))
0
0
0
0
not entailment
((p|p)|((t>t)>(~(((t&p)>t))&(t&(p|p)))))
(t|((p|t)>((p&p)>(t&(t>t)))))
0
1
1
0
not entailment
((t&t)&(p|(p|t)))
(t|~(~((t|((t>p)&t)))))
1
0
1
0
entailment