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
~(((h&~(h))|(u>y)))
(u>(y>p))
1
1
0
0
entailment
~(a)
~(((((k|f)&~(k))|n)&a))
1
0
0
0
entailment
~(((h&~(h))|(u>y)))
~(((((k|f)&~(k))|n)&a))
0
0
0
0
not entailment
~(a)
(u>(y>p))
0
0
0
0
not entailment
~((((f&u)&r)>~((y&u))))
(f&(f&f))
1
1
1
1
entailment
((u>(k>p))>k)
((~(~(h))|(o&o))|k)
1
0
0
0
entailment
~((((f&u)&r)>~((y&u))))
((~(~(h))|(o&o))|k)
0
1
0
0
not entailment
((u>(k>p))>k)
(f&(f&f))
0
1
0
0
not entailment
~((f&(~(~(((o|p)|~((h&p)))))|(h&o))))
(~(((f&y)|u))|~(~(~(~((k|u))))))
1
1
0
0
entailment
((a|~((u>a)))>p)
(p|(~(((f&y)>f))|~(~((a>(r|f))))))
1
0
0
0
entailment
~((f&(~(~(((o|p)|~((h&p)))))|(h&o))))
(p|(~(((f&y)>f))|~(~((a>(r|f))))))
0
1
0
0
not entailment
((a|~((u>a)))>p)
(~(((f&y)|u))|~(~(~(~((k|u))))))
0
0
0
0
not entailment
~((r>(u>o)))
(u>r)
1
1
1
0
entailment
(h&(y>((h|n)&a)))
(h|k)
1
1
0
0
entailment
~((r>(u>o)))
(h|k)
0
1
0
0
not entailment
(h&(y>((h|n)&a)))
(u>r)
0
1
0
0
not entailment
(u&a)
((f|(r&f))>((u|~(~(y)))|k))
1
0
0
0
entailment
~(((p&h)|(h|((n|n)&f))))
((h>(k&o))|o)
1
1
0
0
entailment
(u&a)
((h>(k&o))|o)
0
0
0
0
not entailment
~(((p&h)|(h|((n|n)&f))))
((f|(r&f))>((u|~(~(y)))|k))
0
0
0
0
not entailment
~((~(o)>((~(f)>(u>h))|o)))
(u|~((o|((p|(o&r))>f))))
1
1
0
0
entailment
((n|a)&(~(((f>(a>n))|u))&((o&a)>~(k))))
(f|~((p|(y&n))))
1
1
0
0
entailment
~((~(o)>((~(f)>(u>h))|o)))
(f|~((p|(y&n))))
0
1
0
0
not entailment
((n|a)&(~(((f>(a>n))|u))&((o&a)>~(k))))
(u|~((o|((p|(o&r))>f))))
0
1
0
0
not entailment
(a&(n>r))
(~(r)>a)
1
1
1
1
entailment
(~((f>(h>k)))&((a|o)&(a|(n|f))))
(h|f)
1
1
1
1
entailment
(a&(n>r))
(h|f)
0
1
0
0
not entailment
(~((f>(h>k)))&((a|o)&(a|(n|f))))
(~(r)>a)
0
1
0
0
not entailment
((n&u)|n)
(~(((a&k)|y))|n)
1
0
0
0
entailment
(~(~((p&k)))&(a&(a>(n>~(o)))))
(~((((r|h)&o)|p))>(o>((h|r)&(~(a)|o))))
1
0
0
0
entailment
((n&u)|n)
(~((((r|h)&o)|p))>(o>((h|r)&(~(a)|o))))
0
0
0
0
not entailment
(~(~((p&k)))&(a&(a>(n>~(o)))))
(~(((a&k)|y))|n)
0
1
0
0
not entailment
(~(f)>~(u))
((f&f)|(~(p)|((u>k)|(r|a))))
1
0
0
0
entailment
(~(h)&((y>r)>(u&y)))
((h|y)&(y|h))
1
1
1
0
entailment
(~(f)>~(u))
((h|y)&(y|h))
0
1
0
0
not entailment
(~(h)&((y>r)>(u&y)))
((f&f)|(~(p)|((u>k)|(r|a))))
0
0
0
0
not entailment
((~(f)&((k&h)&k))&(p|u))
((((h|y)&(y|k))&((r>p)|(p>u)))&((f>y)|n))
1
0
0
0
entailment
~(~(((r>h)>(f&k))))
((k&f)|(((o&r)|k)>r))
1
1
0
0
entailment
((~(f)&((k&h)&k))&(p|u))
((k&f)|(((o&r)|k)>r))
0
1
0
0
not entailment
~(~(((r>h)>(f&k))))
((((h|y)&(y|k))&((r>p)|(p>u)))&((f>y)|n))
0
0
0
0
not entailment
(((p>n)|~(r))>k)
((r&~((u&u)))|(k|~((n&p))))
1
0
0
0
entailment
~(~(((p&f)&(k>(a>h)))))
(r|p)
1
1
0
0
entailment
(((p>n)|~(r))>k)
(r|p)
0
1
1
1
not entailment
~(~(((p&f)&(k>(a>h)))))
((r&~((u&u)))|(k|~((n&p))))
0
0
0
0
not entailment
(((k|a)&h)&~(~(((n&(r>(k&u)))&r))))
((f>k)|~(((f>p)>((p|f)>(h|n)))))
1
1
0
0
entailment
~((n|(o>~((h>n)))))
((o|r)&((r&~(o))>(u>a)))
1
0
0
0
entailment
(((k|a)&h)&~(~(((n&(r>(k&u)))&r))))
((o|r)&((r&~(o))>(u>a)))
0
1
0
0
not entailment
~((n|(o>~((h>n)))))
((f>k)|~(((f>p)>((p|f)>(h|n)))))
0
0
0
0
not entailment
((~((p>(n|k)))&f)&h)
((a|h)|(k>~(k)))
1
1
0
0
entailment
~(~((p&((u&(n|(p|a)))&n))))
(a>~((n>~(p))))
1
1
1
0
entailment
((~((p>(n|k)))&f)&h)
(a>~((n>~(p))))
0
1
0
0
not entailment
~(~((p&((u&(n|(p|a)))&n))))
((a|h)|(k>~(k)))
0
1
0
0
not entailment
(~((n|(o|o)))&k)
((k>k)&((n&o)>a))
1
1
0
0
entailment
(((h&o)|y)&(o&u))
(a|(u|a))
1
1
0
0
entailment
(~((n|(o|o)))&k)
(a|(u|a))
0
1
0
0
not entailment
(((h&o)|y)&(o&u))
((k>k)&((n&o)>a))
0
1
0
0
not entailment
~(~(((o>~((n&y)))&(y&p))))
(((~(o)|p)|(o>r))|~(o))
1
1
0
0
entailment
((o&y)&((y>h)&~((a|r))))
((k&(o|h))|~(k))
1
1
0
0
entailment
~(~(((o>~((n&y)))&(y&p))))
((k&(o|h))|~(k))
0
1
0
0
not entailment
((o&y)&((y>h)&~((a|r))))
(((~(o)|p)|(o>r))|~(o))
0
1
0
0
not entailment
(((n>r)>k)&p)
((f|((n>f)|(o&h)))|(~((p|y))>o))
1
0
0
0
entailment
~((~(o)>(y|a)))
(~(~((k&o)))>h)
1
1
0
0
entailment
(((n>r)>k)&p)
(~(~((k&o)))>h)
0
0
0
0
not entailment
~((~(o)>(y|a)))
((f|((n>f)|(o&h)))|(~((p|y))>o))
0
0
0
0
not entailment
~((((~(p)>k)&(u|(p>k)))>((u|~(h))>h)))
(p|k)
1
1
1
1
entailment
(h&(h&~((((n>(o&u))|u)>y))))
~(~((((((r|p)|y)|a)>p)>h)))
1
1
0
0
entailment
~((((~(p)>k)&(u|(p>k)))>((u|~(h))>h)))
~(~((((((r|p)|y)|a)>p)>h)))
0
1
0
0
not entailment
(h&(h&~((((n>(o&u))|u)>y))))
(p|k)
0
1
0
0
not entailment
(n&o)
(o|k)
1
1
0
0
entailment
((p&(h&r))&(y>(y&u)))
(((a|u)|(n&(k>o)))>(u|h))
1
0
0
0
entailment
(n&o)
(((a|u)|(n&(k>o)))>(u|h))
0
0
0
0
not entailment
((p&(h&r))&(y>(y&u)))
(o|k)
0
1
0
0
not entailment
(~(~((r&a)))|(p|h))
((k|(h|(a|n)))|p)
1
1
0
0
entailment
~((u>(p&((y|o)&(r|(f>u))))))
((p>(p>u))|y)
1
1
1
0
entailment
(~(~((r&a)))|(p|h))
((p>(p>u))|y)
0
1
0
0
not entailment
~((u>(p&((y|o)&(r|(f>u))))))
((k|(h|(a|n)))|p)
0
1
0
0
not entailment
((c&(t&f))&(f&(c|~((n>k)))))
((n>(f&c))|r)
1
1
0
0
entailment
(~(l)>(l&l))
(~(((n|f)>(~(t)>n)))|(~(n)|l))
1
0
0
0
entailment
((c&(t&f))&(f&(c|~((n>k)))))
(~(((n|f)>(~(t)>n)))|(~(n)|l))
0
0
0
0
not entailment
(~(l)>(l&l))
((n>(f&c))|r)
0
1
0
0
not entailment
(c&((~(r)|~(n))&t))
((t|(~((g>r))&g))|~(((((f|r)>z)>k)>g)))
1
0
0
0
entailment
~((c|k))
(((l|c)&~((r|(l&r))))>(~(~(f))>l))
1
0
0
0
entailment
(c&((~(r)|~(n))&t))
(((l|c)&~((r|(l&r))))>(~(~(f))>l))
0
0
0
0
not entailment
~((c|k))
((t|(~((g>r))&g))|~(((((f|r)>z)>k)>g)))
0
0
0
0
not entailment
(k&z)
((((c>z)>l)|(t|r))>(k|(g|(g|(z&r)))))
1
0
0
0
entailment
((f&~(~((t>~((n|t))))))&~(k))
~(~((~(((g&n)&t))|((~(f)&(k>g))&t))))
1
0
0
0
entailment
(k&z)
~(~((~(((g&n)&t))|((~(f)&(k>g))&t))))
0
0
0
0
not entailment
((f&~(~((t>~((n|t))))))&~(k))
((((c>z)>l)|(t|r))>(k|(g|(g|(z&r)))))
0
0
0
0
not entailment
(~((~(n)>(z>~(z))))|(((z&k)&c)|z))
((((c|t)|g)|(f|~(f)))&z)
1
1
0
0
entailment
((~(f)>~((l&f)))>~(((g&(g|l))|(l>t))))
((((n|(~(((k>g)|n))|r))>g)|n)|(l|(l&r)))
1
1
0
0
entailment
(~((~(n)>(z>~(z))))|(((z&k)&c)|z))
((((n|(~(((k>g)|n))|r))>g)|n)|(l|(l&r)))
0
0
0
0
not entailment
((~(f)>~((l&f)))>~(((g&(g|l))|(l>t))))
((((c|t)|g)|(f|~(f)))&z)
0
1
0
0
not entailment
(f&c)
(~((n>g))>(t|(k|f)))
1
0
0
0
entailment
(~((k|((r|k)&z)))&~((c|~(r))))
(t>(r&(((((t|t)>t)|f)&z)>r)))
1
1
0
0
entailment
(f&c)
(t>(r&(((((t|t)>t)|f)&z)>r)))
0
0
0
0
not entailment
(~((k|((r|k)&z)))&~((c|~(r))))
(~((n>g))>(t|(k|f)))
0
1
0
0
not entailment
(~((((c|z)&(g|n))>n))&(r>r))
(g|n)
1
1
1
1
entailment
~(((r|r)>z))
(((l|l)>((k|g)>c))>~((~(n)&(z&c))))
1
0
0
0
entailment
(~((((c|z)&(g|n))>n))&(r>r))
(((l|l)>((k|g)>c))>~((~(n)&(z&c))))
0
0
0
0
not entailment
~(((r|r)>z))
(g|n)
0
1
0
0
not entailment