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
(((d>h)|u)&d)
(((u>k)&d)>~(((k&k)|h)))
0
0
0
0
not entailment
(((k|d)>(k&~(((((a>a)&k)>u)&d))))&u)
((~((h|(d&u)))>a)&~(~((u|h))))
0
1
0
0
not entailment
(h|d)
((h|d)|d)
1
0
1
1
entailment
(~((u&a))&~((~(((h|k)>(~(a)|h)))>h)))
(h>k)
1
1
1
1
entailment
(h|d)
(h>k)
0
1
0
0
not entailment
(~((u&a))&~((~(((h|k)>(~(a)|h)))>h)))
((h|d)|d)
0
1
0
0
not entailment
(h&a)
(((u>k)|~(d))|(k|a))
1
0
0
0
entailment
(d&(u&u))
((u|d)&~(~(d)))
1
0
1
1
entailment
(h&a)
((u|d)&~(~(d)))
0
0
0
0
not entailment
(d&(u&u))
(((u>k)|~(d))|(k|a))
0
0
0
0
not entailment
((u|d)>~((d>(a>(k>d)))))
(((k>d)|((k&h)|(d&d)))|(u>a))
1
0
0
0
entailment
(k&~(((k|~(h))&((~(u)|(k>a))|d))))
~(a)
1
1
1
1
entailment
((u|d)>~((d>(a>(k>d)))))
~(a)
0
1
1
0
not entailment
(k&~(((k|~(h))&((~(u)|(k>a))|d))))
(((k>d)|((k&h)|(d&d)))|(u>a))
0
1
1
0
not entailment
(((k|~(k))&h)&k)
((k|(h|(a|h)))&h)
1
1
0
0
entailment
(d&k)
(h>(~(u)|d))
1
0
0
0
entailment
(((k|~(k))&h)&k)
(h>(~(u)|d))
0
1
0
0
not entailment
(d&k)
((k|(h|(a|h)))&h)
0
0
0
0
not entailment
((a|~(h))&((d|(k&d))&h))
(~(((k|d)|(d&d)))|(a|k))
1
1
1
0
entailment
(((u|~(d))|((k>d)>~(a)))&~((u>h)))
(h>((u|(d>(h>a)))>~(~(u))))
1
1
1
0
entailment
((a|~(h))&((d|(k&d))&h))
(h>((u|(d>(h>a)))>~(~(u))))
0
0
0
0
not entailment
(((u|~(d))|((k>d)>~(a)))&~((u>h)))
(~(((k|d)|(d&d)))|(a|k))
0
1
1
0
not entailment
~(~(~(((k|(a>k))|d))))
((d|h)>(d>k))
1
1
0
0
entailment
(((d|k)>u)&u)
(u&(~((((k|u)&~(d))>(a>d)))>(d>h)))
1
0
0
0
entailment
~(~(~(((k|(a>k))|d))))
(u&(~((((k|u)&~(d))>(a>d)))>(d>h)))
0
0
0
0
not entailment
(((d|k)>u)&u)
((d|h)>(d>k))
0
1
0
0
not entailment
(k&h)
((~((d&~(d)))>(a>h))&h)
1
0
0
0
entailment
(((a>u)|k)&u)
((((k&a)|u)|(~(~(d))&h))|((a&d)&(d&k)))
1
0
0
0
entailment
(k&h)
((((k&a)|u)|(~(~(d))&h))|((a&d)&(d&k)))
0
0
0
0
not entailment
(((a>u)|k)&u)
((~((d&~(d)))>(a>h))&h)
0
0
0
0
not entailment
(~(h)>(((k|a)|a)&(h&~(k))))
(d>h)
1
1
0
0
entailment
((((a&u)&h)>(a&(k&k)))>((h|a)&(d&k)))
((d|a)&((~(u)>(h>u))|k))
1
1
1
0
entailment
(~(h)>(((k|a)|a)&(h&~(k))))
((d|a)&((~(u)>(h>u))|k))
0
1
0
0
not entailment
((((a&u)&h)>(a&(k&k)))>((h|a)&(d&k)))
(d>h)
0
1
1
0
not entailment
(u|u)
(((h|a)|~(k))|(k>u))
1
0
0
0
entailment
((~(((d|h)&~(~(k))))>~((k|h)))|(d&u))
(((u&(~((h&~(d)))|d))|(h>a))|k)
1
1
0
0
entailment
(u|u)
(((u&(~((h&~(d)))|d))|(h>a))|k)
0
0
0
0
not entailment
((~(((d|h)&~(~(k))))>~((k|h)))|(d&u))
(((h|a)|~(k))|(k>u))
0
1
0
0
not entailment
~(((u>a)>~(~(~((a|(d>(u>h))))))))
((u>a)|h)
1
1
1
1
entailment
((u&((k|h)|((a>((a&a)&a))>(h&d))))|d)
(k|((d>~(~((d>h))))>(h|u)))
1
1
1
0
entailment
~(((u>a)>~(~(~((a|(d>(u>h))))))))
(k|((d>~(~((d>h))))>(h|u)))
0
1
0
0
not entailment
((u&((k|h)|((a>((a&a)&a))>(h&d))))|d)
((u>a)|h)
0
1
1
0
not entailment
(h&((((a&h)>a)>a)&(h>d)))
(~((h&a))>((u|k)|((k>d)&(k|a))))
1
0
0
0
entailment
~(~(~((((d>u)>k)|~((~(d)|d))))))
((a|((k&k)&a))>~(k))
1
1
0
0
entailment
(h&((((a&h)>a)>a)&(h>d)))
((a|((k&k)&a))>~(k))
0
1
0
0
not entailment
~(~(~((((d>u)>k)|~((~(d)|d))))))
(~((h&a))>((u|k)|((k>d)&(k|a))))
0
1
0
0
not entailment
~(~(k))
(u|(k|h))
1
1
0
0
entailment
(a&(h>h))
(a|(d>h))
1
1
0
0
entailment
~(~(k))
(a|(d>h))
0
1
0
0
not entailment
(a&(h>h))
(u|(k|h))
0
1
0
0
not entailment
(h&~(((((k|u)|a)>a)>~(k))))
(u|(~(a)>a))
1
1
1
0
entailment
(k&~((k>((a|k)>u))))
(~(u)&(~((d>k))>~((a>k))))
1
0
0
0
entailment
(h&~(((((k|u)|a)>a)>~(k))))
(~(u)&(~((d>k))>~((a>k))))
0
1
0
0
not entailment
(k&~((k>((a|k)>u))))
(u|(~(a)>a))
0
1
1
0
not entailment
(k&~(~((k>~(((d&h)&(a|k)))))))
(k|((k>d)&u))
1
1
0
0
entailment
((d>h)&~(k))
(d>(((~(u)&k)>(a|~(d)))>(k>u)))
1
0
0
0
entailment
(k&~(~((k>~(((d&h)&(a|k)))))))
(d>(((~(u)&k)>(a|~(d)))>(k>u)))
0
1
0
0
not entailment
((d>h)&~(k))
(k|((k>d)&u))
0
1
0
0
not entailment
(~(~(w))&(~(~((k>x)))|t))
(((j>j)>(s&(s|t)))|w)
1
1
0
0
entailment
(~((o>w))|(x&~(f)))
(t>(~(~((f&((j>(f&(f&f)))>t))))>(w>o)))
1
0
0
0
entailment
(~(~(w))&(~(~((k>x)))|t))
(t>(~(~((f&((j>(f&(f&f)))>t))))>(w>o)))
0
0
0
0
not entailment
(~((o>w))|(x&~(f)))
(((j>j)>(s&(s|t)))|w)
0
1
0
0
not entailment
(s&(f>w))
(s|(((t&(t&e))&(t>t))&(x&(f&o))))
1
0
0
0
entailment
(((o&(p&(f>j)))&~(e))|~((p|(p>p))))
(o|((~(w)>f)&e))
1
1
0
0
entailment
(s&(f>w))
(o|((~(w)>f)&e))
0
0
0
0
not entailment
(((o&(p&(f>j)))&~(e))|~((p|(p>p))))
(s|(((t&(t&e))&(t>t))&(x&(f&o))))
0
1
0
0
not entailment
((x&(t&x))&~((x>k)))
~(((t|k)>k))
1
1
1
0
entailment
~(((j|p)|o))
(((e&e)|p)>((~((p>s))>x)>e))
1
0
0
0
entailment
((x&(t&x))&~((x>k)))
(((e&e)|p)>((~((p>s))>x)>e))
0
0
0
0
not entailment
~(((j|p)|o))
~(((t|k)>k))
0
1
0
0
not entailment
(~((j|(k>j)))&w)
(~(((s&(o>k))&p))>(p>k))
1
0
0
0
entailment
~((o>w))
(~((e|~(w)))>(x|s))
1
0
0
0
entailment
(~((j|(k>j)))&w)
(~((e|~(w)))>(x|s))
0
0
0
0
not entailment
~((o>w))
(~(((s&(o>k))&p))>(p>k))
0
0
0
0
not entailment
~((x>~(k)))
((p|f)>~(~(k)))
1
0
0
0
entailment
~(((p&o)>~((f>~((w&x))))))
((o|j)>(((j|k)>(((s&p)|f)|o))|p))
1
0
0
0
entailment
~((x>~(k)))
((o|j)>(((j|k)>(((s&p)|f)|o))|p))
0
0
0
0
not entailment
~(((p&o)>~((f>~((w&x))))))
((p|f)>~(~(k)))
0
1
0
0
not entailment
(~((x&(o>w)))&(j>x))
(j>((o>w)|((~(((t|x)|e))>w)&o)))
1
0
0
0
entailment
~((k>(e|(f|t))))
(e>k)
1
1
1
1
entailment
(~((x&(o>w)))&(j>x))
(e>k)
0
1
0
0
not entailment
~((k>(e|(f|t))))
(j>((o>w)|((~(((t|x)|e))>w)&o)))
0
0
0
0
not entailment
~(((o|((f|w)&e))>o))
((t>e)|~(~(~(w))))
1
1
0
0
entailment
~((~((j&f))|(x>o)))
((e>p)>f)
1
1
0
0
entailment
~(((o|((f|w)&e))>o))
((e>p)>f)
0
1
0
0
not entailment
~((~((j&f))|(x>o)))
((t>e)|~(~(~(w))))
0
1
0
0
not entailment
(~(((w&p)|o))&e)
(((o&p)>~(j))|~((f|w)))
1
0
0
0
entailment
~((~((w&k))|f))
(s>k)
1
1
0
0
entailment
(~(((w&p)|o))&e)
(s>k)
0
1
0
0
not entailment
~((~((w&k))|f))
(((o&p)>~(j))|~((f|w)))
0
0
0
0
not entailment
~((~((o|(p|o)))>(f|((t&t)>~(e)))))
((j|(f&x))|e)
1
1
0
0
entailment
~(k)
((~(((((w>x)>k)&(k>p))&(s&p)))&k)>(k&s))
1
0
0
0
entailment
~((~((o|(p|o)))>(f|((t&t)>~(e)))))
((~(((((w>x)>k)&(k>p))&(s&p)))&k)>(k&s))
0
0
0
0
not entailment
~(k)
((j|(f&x))|e)
0
0
0
0
not entailment
(((x|(o>t))|(s&(s&f)))&(e&w))
(~(t)|(((f|k)&f)|e))
1
1
0
0
entailment
(~((k|((w&x)>f)))&(~(p)&(s>(s&~(f)))))
((~(e)&(w&k))|((f|x)&~((s&p))))
1
1
0
0
entailment
(((x|(o>t))|(s&(s&f)))&(e&w))
((~(e)&(w&k))|((f|x)&~((s&p))))
0
0
0
0
not entailment
(~((k|((w&x)>f)))&(~(p)&(s>(s&~(f)))))
(~(t)|(((f|k)&f)|e))
0
1
0
0
not entailment
~(((((w>w)|j)&s)>(~(f)|p)))
((f&~(e))>~(p))
1
1
0
0
entailment
(t&(w&s))
(x>w)
1
1
0
0
entailment