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>d))|(l|d)))
((d>e)|(e&((l&l)&(i|i))))
1
0
0
0
entailment
(i&~(~(d)))
((~(l)|(e>(i&d)))>~((d>~(i))))
1
0
0
0
entailment
~((~((d>d))|(l|d)))
((~(l)|(e>(i&d)))>~((d>~(i))))
0
0
0
0
not entailment
(i&~(~(d)))
((d>e)|(e&((l&l)&(i|i))))
0
0
0
0
not entailment
(~(k)&(x&(k|x)))
(e|(k>d))
1
1
0
0
entailment
(((j>e)>(((u|e)|u)|d))&j)
(k|j)
1
1
0
0
entailment
(~(k)&(x&(k|x)))
(k|j)
0
1
0
0
not entailment
(((j>e)>(((u|e)|u)|d))&j)
(e|(k>d))
0
1
0
0
not entailment
~(((((~(e)|k)>(k&u))>(k>~(d)))|(x&k)))
(((d>k)|(x|u))|x)
1
1
1
0
entailment
(j|(e|~(((u&e)>(x>((d|e)&u))))))
(((j&d)|~((j|e)))>(~(d)|j))
1
1
1
0
entailment
~(((((~(e)|k)>(k&u))>(k>~(d)))|(x&k)))
(((j&d)|~((j|e)))>(~(d)|j))
0
1
0
0
not entailment
(j|(e|~(((u&e)>(x>((d|e)&u))))))
(((d>k)|(x|u))|x)
0
1
0
0
not entailment
(~(~((j|(u&(d&e)))))&((k>k)>x))
(~(~(j))|x)
1
1
1
1
entailment
((((d&k)>(j&d))>e)&~(k))
(e|((k|k)|(u|u)))
1
1
0
0
entailment
(~(~((j|(u&(d&e)))))&((k>k)>x))
(e|((k|k)|(u|u)))
0
1
1
1
not entailment
((((d&k)>(j&d))>e)&~(k))
(~(~(j))|x)
0
1
0
0
not entailment
((x&u)|~(~(((e|u)&u))))
(~((e>j))>u)
1
1
0
0
entailment
((k&d)|((j&x)&u))
(d|((~(j)>(d&~((u&d))))&(k>(x|k))))
1
0
1
0
entailment
((x&u)|~(~(((e|u)&u))))
(d|((~(j)>(d&~((u&d))))&(k>(x|k))))
0
0
0
0
not entailment
((k&d)|((j&x)&u))
(~((e>j))>u)
0
1
0
0
not entailment
~(x)
(~((k|(j&k)))>((j|j)|(x>(u&u))))
1
0
0
0
entailment
~(u)
(u>(k&(k|e)))
1
0
0
0
entailment
~(x)
(u>(k&(k|e)))
0
0
0
0
not entailment
~(u)
(~((k|(j&k)))>((j|j)|(x>(u&u))))
0
0
0
0
not entailment
(~(~((((d>k)|e)&u)))&j)
((x&k)>u)
1
1
0
0
entailment
~(d)
(((x&~(d))|(k>e))|~((~((x>e))|(x|x))))
1
0
0
0
entailment
(~(~((((d>k)|e)&u)))&j)
(((x&~(d))|(k>e))|~((~((x>e))|(x|x))))
0
0
0
0
not entailment
~(d)
((x&k)>u)
0
0
0
0
not entailment
~(((~((u>e))>d)|d))
~((((k>j)&u)&~(~((e&u)))))
1
0
0
0
entailment
((((j|(j&x))&k)&((e|j)|(x|x)))|(e&k))
(d|k)
1
1
0
0
entailment
~(((~((u>e))>d)|d))
(d|k)
0
1
0
0
not entailment
((((j|(j&x))&k)&((e|j)|(x|x)))|(e&k))
~((((k>j)&u)&~(~((e&u)))))
0
1
0
0
not entailment
(~(~(e))&e)
(u>((x>e)|j))
1
1
0
0
entailment
~((~((((x|d)>e)&~(~((x|k)))))>d))
~((~((~(x)&k))&(d|(e&(k&((j|e)|j))))))
1
0
0
0
entailment
(~(~(e))&e)
~((~((~(x)&k))&(d|(e&(k&((j|e)|j))))))
0
0
0
0
not entailment
~((~((((x|d)>e)&~(~((x|k)))))>d))
(u>((x>e)|j))
0
1
0
0
not entailment
((((~(k)|(u|(d>j)))&x)>((j&u)&e))&(k&j))
((((k|e)&(d&k))|(k&d))>j)
1
1
1
0
entailment
(d&~(~((j>u))))
(d|d)
1
1
1
1
entailment
((((~(k)|(u|(d>j)))&x)>((j&u)&e))&(k&j))
(d|d)
0
1
1
1
not entailment
(d&~(~((j>u))))
((((k|e)&(d&k))|(k&d))>j)
0
0
0
0
not entailment
((~(d)&(j|(x>~(e))))&x)
((((k>(x>j))|k)>((k&(d&~(x)))|d))>(k|e))
1
0
0
0
entailment
(j&(k|(~((j>u))>~(k))))
((e>(k|e))&j)
1
1
0
0
entailment
((~(d)&(j|(x>~(e))))&x)
((e>(k|e))&j)
0
1
0
0
not entailment
(j&(k|(~((j>u))>~(k))))
((((k>(x>j))|k)>((k&(d&~(x)))|d))>(k|e))
0
0
0
0
not entailment
(((k|e)|~(x))&(((u&j)>k)&k))
(k|~(d))
1
1
0
0
entailment
(j&e)
~(~(~(~(((k>(j|(x>j)))|(j&k))))))
1
0
0
0
entailment
(((k|e)|~(x))&(((u&j)>k)&k))
~(~(~(~(((k>(j|(x>j)))|(j&k))))))
0
0
1
0
not entailment
(j&e)
(k|~(d))
0
0
0
0
not entailment
(k&(k>(((x&e)&(~(e)&((k&d)&e)))|j)))
((j|(e>x))|k)
1
1
1
1
entailment
(d|(d&(k>d)))
((((d|d)|(u|x))|(~((u|d))>(~(u)&e)))|x)
1
0
0
0
entailment
(k&(k>(((x&e)&(~(e)&((k&d)&e)))|j)))
((((d|d)|(u|x))|(~((u|d))>(~(u)&e)))|x)
0
0
0
0
not entailment
(d|(d&(k>d)))
((j|(e>x))|k)
0
1
0
0
not entailment
((k>j)&x)
((d>(e|(k>j)))|((d&d)&~((j|(k>d)))))
1
0
0
0
entailment
(k&((j|k)>u))
~(~((x>((~(~(d))|j)>u))))
1
0
0
0
entailment
((k>j)&x)
~(~((x>((~(~(d))|j)>u))))
0
0
0
0
not entailment
(k&((j|k)>u))
((d>(e|(k>j)))|((d&d)&~((j|(k>d)))))
0
0
0
0
not entailment
(~((~(d)>(d|d)))&((u|(k>k))|(j&(u&u))))
(((e|x)>(e|j))|~(((x&u)&d)))
1
1
0
0
entailment
~((k|j))
~(k)
1
1
1
1
entailment
(~((~(d)>(d|d)))&((u|(k>k))|(j&(u&u))))
~(k)
0
1
1
1
not entailment
~((k|j))
(((e|x)>(e|j))|~(((x&u)&d)))
0
0
0
0
not entailment
~((x|((~(u)|(x|u))>u)))
((e|u)|(x>(x&k)))
1
1
0
0
entailment
~(((d|(x&(x|e)))>(j|d)))
(~(((j|~((~(d)|k)))&(d|d)))|(e&u))
1
0
0
0
entailment
~((x|((~(u)|(x|u))>u)))
(~(((j|~((~(d)|k)))&(d|d)))|(e&u))
0
0
0
0
not entailment
~(((d|(x&(x|e)))>(j|d)))
((e|u)|(x>(x&k)))
0
1
0
0
not entailment
(~(e)&(d|(k>u)))
~((x&e))
1
1
0
0
entailment
(~((((d|~(x))&d)&e))>((u>x)&e))
((k>(j|e))|x)
1
1
0
0
entailment
(~(e)&(d|(k>u)))
((k>(j|e))|x)
0
1
0
0
not entailment
(~((((d|~(x))&d)&e))>((u>x)&e))
~((x&e))
0
1
1
0
not entailment
((~(u)|(d&(~(~((e|x)))>d)))&(u&(e>j)))
~(~((((k|u)&d)&u)))
1
1
0
0
entailment
((e&j)&(~((x>(~((d|e))&((x&d)&u))))&u))
((u>x)|(~(e)&~((u>j))))
1
1
1
0
entailment
((~(u)|(d&(~(~((e|x)))>d)))&(u&(e>j)))
((u>x)|(~(e)&~((u>j))))
0
1
1
0
not entailment
((e&j)&(~((x>(~((d|e))&((x&d)&u))))&u))
~(~((((k|u)&d)&u)))
0
1
0
0
not entailment
~(((e|x)&(e>~(~((d>(d&d)))))))
(~((~(u)>u))>(x>u))
1
1
0
0
entailment
((((~(u)|k)>~(j))|(k>~((j|~(d)))))&x)
(j>x)
1
1
1
1
entailment
~(((e|x)&(e>~(~((d>(d&d)))))))
(j>x)
0
1
0
0
not entailment
((((~(u)|k)>~(j))|(k>~((j|~(d)))))&x)
(~((~(u)>u))>(x>u))
0
1
1
0
not entailment
((j|~((k|d)))&((k|(k|d))&x))
((e&k)>j)
1
1
0
0
entailment
(u>~(((d&(~(u)&~(u)))>x)))
~((((x>e)&((x|j)&u))&((j>d)|j)))
1
0
0
0
entailment
((j|~((k|d)))&((k|(k|d))&x))
~((((x>e)&((x|j)&u))&((j>d)|j)))
0
0
0
0
not entailment
(u>~(((d&(~(u)&~(u)))>x)))
((e&k)>j)
0
1
0
0
not entailment
(u&~(~((x&k))))
(u|k)
1
1
1
1
entailment
~((((e>u)|(x>~(((e&x)|u))))|(e&u)))
((~((x|(e>d)))>(e|(x>d)))&(j|~(u)))
1
1
0
0
entailment
(u&~(~((x&k))))
((~((x|(e>d)))>(e|(x>d)))&(j|~(u)))
0
0
0
0
not entailment
~((((e>u)|(x>~(((e&x)|u))))|(e&u)))
(u|k)
0
1
0
0
not entailment
(~(e)>(~(e)&~(((k>(j|d))|k))))
((e|((j>(k>(e&x)))&~(j)))|(((u>k)>x)&j))
1
0
0
0
entailment
~((~(((u|x)|d))|~(d)))
(k>((d&k)|(~((d|d))&(x|j))))
1
0
0
0
entailment
(~(e)>(~(e)&~(((k>(j|d))|k))))
(k>((d&k)|(~((d|d))&(x|j))))
0
1
0
0
not entailment
~((~(((u|x)|d))|~(d)))
((e|((j>(k>(e&x)))&~(j)))|(((u>k)>x)&j))
0
0
0
0
not entailment
(k&u)
~(~(~(~((~(u)>(~(x)&(d|e)))))))
1
0
0
0
entailment
((e&x)&(~(((x>k)|e))>(e|u)))
(~(e)>~((((j&e)>e)|(u&j))))
1
1
0
0
entailment
(k&u)
(~(e)>~((((j&e)>e)|(u&j))))
0
0
0
0
not entailment
((e&x)&(~(((x>k)|e))>(e|u)))
~(~(~(~((~(u)>(~(x)&(d|e)))))))
0
0
0
0
not entailment
~(~(~(((f>r)|~(((u>z)|(r&r)))))))
(((u&r)>z)&((f|z)>(r>u)))
1
1
1
0
entailment
(r&((r>(f&f))>(z&(z&u))))
(~(((r|f)&(f&z)))|r)
1
1
1
0
entailment
~(~(~(((f>r)|~(((u>z)|(r&r)))))))
(~(((r|f)&(f&z)))|r)
0
1
1
0
not entailment
(r&((r>(f&f))>(z&(z&u))))
(((u&r)>z)&((f|z)>(r>u)))
0
1
1
0
not entailment
((r>z)&(u&(u>f)))
(((r&(f&(z>r)))|(u|f))>u)
1
0
1
0
entailment
~((r>u))
(r&((r&(((u&f)>(f&f))>(~(u)|(r>f))))|r))
1
0
0
0
entailment
((r>z)&(u&(u>f)))
(r&((r&(((u&f)>(f&f))>(~(u)|(r>f))))|r))
0
0
1
0
not entailment
~((r>u))
(((r&(f&(z>r)))|(u|f))>u)
0
0
0
0
not entailment