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
~((k|(e>~(~((z&(z>e)))))))
~(~(k))
0
1
1
0
not entailment
~((k>z))
(e&~((k|(k&(f>(f&f))))))
0
0
0
0
not entailment
(~(~((e&k)))&(e&k))
~((((~(e)|e)>((z&k)&~(e)))&(z|(k&f))))
1
0
0
0
entailment
(z|z)
(z|~((e|~((k>f)))))
1
0
0
0
entailment
(~(~((e&k)))&(e&k))
(z|~((e|~((k>f)))))
0
1
0
0
not entailment
(z|z)
~((((~(e)|e)>((z&k)&~(e)))&(z|(k&f))))
0
0
0
0
not entailment
((z&((e>(f>f))|f))&(~(e)&(f&z)))
(((z>k)&(((f>k)>f)|((k>(f|k))&f)))>z)
1
0
0
0
entailment
(e|~((~((e>z))>(e|k))))
((~(((k|~((k|e)))|f))&(k>(e&f)))|(z>e))
1
0
0
0
entailment
((z&((e>(f>f))|f))&(~(e)&(f&z)))
((~(((k|~((k|e)))|f))&(k>(e&f)))|(z>e))
0
0
0
0
not entailment
(e|~((~((e>z))>(e|k))))
(((z>k)&(((f>k)>f)|((k>(f|k))&f)))>z)
0
0
0
0
not entailment
~(~(~(e)))
((e&(~(e)|~((e>(e>k)))))>k)
1
0
0
0
entailment
(e|((e>((e|(f|e))|z))>(~((e&~(f)))>e)))
(z>e)
1
1
1
1
entailment
~(~(~(e)))
(z>e)
0
1
0
0
not entailment
(e|((e>((e|(f|e))|z))>(~((e&~(f)))>e)))
((e&(~(e)|~((e>(e>k)))))>k)
0
1
0
0
not entailment
~(((~(k)|k)&(e>~(z))))
((e|(z|(z|f)))|e)
1
1
0
0
entailment
~(f)
~((f|(f&e)))
1
0
0
0
entailment
~(((~(k)|k)&(e>~(z))))
~((f|(f&e)))
0
1
0
0
not entailment
~(f)
((e|(z|(z|f)))|e)
0
0
0
0
not entailment
~((((e>(f|k))>~((z&k)))|~(~(~(f)))))
(((((e>e)&((e|(k>z))>z))&z)>f)>(f|f))
1
1
1
0
entailment
~((((z&e)>k)>(~(k)>~((k|~(f))))))
(f>((k|e)&((~(k)>z)>((e&z)&z))))
1
1
1
0
entailment
~((((e>(f|k))>~((z&k)))|~(~(~(f)))))
(f>((k|e)&((~(k)>z)>((e&z)&z))))
0
1
1
0
not entailment
~((((z&e)>k)>(~(k)>~((k|~(f))))))
(((((e>e)&((e|(k>z))>z))&z)>f)>(f|f))
0
1
1
0
not entailment
(e&e)
(((k|f)>(~((k|e))&z))>~(~(e)))
1
0
0
0
entailment
(z&((~(z)>(e|e))|(z|~(((k|z)&e)))))
((k>z)&z)
1
1
1
1
entailment
(e&e)
((k>z)&z)
0
0
0
0
not entailment
(z&((~(z)>(e|e))|(z|~(((k|z)&e)))))
(((k|f)>(~((k|e))&z))>~(~(e)))
0
1
0
0
not entailment
((((f>f)>~((z>f)))&e)&k)
((e>e)&e)
1
1
1
0
entailment
((((k>e)>k)&k)&~(~((f&(f>z)))))
(f|(e&f))
1
1
1
0
entailment
((((f>f)>~((z>f)))&e)&k)
(f|(e&f))
0
1
1
1
not entailment
((((k>e)>k)&k)&~(~((f&(f>z)))))
((e>e)&e)
0
1
1
0
not entailment
~(z)
((e&z)|~(z))
1
0
0
0
entailment
(((((e&k)&k)>(k|f))>~((e|k)))|(f&~(f)))
(e>k)
1
1
1
1
entailment
~(z)
(e>k)
0
1
0
0
not entailment
(((((e&k)&k)>(k|f))>~((e|k)))|(f&~(f)))
((e&z)|~(z))
0
1
0
0
not entailment
(f&(e&k))
(~((((f&k)|f)|((z>f)|k)))>(z>(k&~(f))))
1
0
0
0
entailment
(~((z>e))&(f>e))
(~((f&e))|((~(~((k>e)))|k)&z))
1
0
0
0
entailment
(f&(e&k))
(~((f&e))|((~(~((k>e)))|k)&z))
0
0
0
0
not entailment
(~((z>e))&(f>e))
(~((((f&k)|f)|((z>f)|k)))>(z>(k&~(f))))
0
0
0
0
not entailment
((((k&k)>(e>e))>k)|k)
(f|k)
1
1
0
0
entailment
(~(((k|~(z))|k))&z)
((k|~(((e>(e|f))|f)))>(k>f))
1
0
0
0
entailment
((((k&k)>(e>e))>k)|k)
((k|~(((e>(e|f))|f)))>(k>f))
0
0
0
0
not entailment
(~(((k|~(z))|k))&z)
(f|k)
0
1
0
0
not entailment
((~(f)&z)|k)
(~(~((z|k)))|~(((e&(f>~(e)))|(z&k))))
1
0
0
0
entailment
(((~(f)&((z&k)|e))|e)&(~(k)&(e|e)))
(k|(((~(~(k))>(f&e))&z)>e))
1
1
1
0
entailment
((~(f)&z)|k)
(k|(((~(~(k))>(f&e))&z)>e))
0
0
0
0
not entailment
(((~(f)&((z&k)|e))|e)&(~(k)&(e|e)))
(~(~((z|k)))|~(((e&(f>~(e)))|(z&k))))
0
0
1
0
not entailment
~(~((f&((z>e)&((z|f)>~(e))))))
(e|(~(~(((e|z)|(z&f))))|f))
1
1
1
0
entailment
~((z|~(~(~(~((k>f)))))))
~(f)
1
1
1
1
entailment
~(~((f&((z>e)&((z|f)>~(e))))))
~(f)
0
1
1
1
not entailment
~((z|~(~(~(~((k>f)))))))
(e|(~(~(((e|z)|(z&f))))|f))
0
1
0
0
not entailment
((e>e)&((l&(e>z))&h))
(h|((l|r)>(e|(~(r)&x))))
1
0
0
0
entailment
~(((x>c)|a))
~((~((((l>(c&a))&a)>(b>z)))&h))
1
0
0
0
entailment
((e>e)&((l&(e>z))&h))
~((~((((l>(c&a))&a)>(b>z)))&h))
0
0
0
0
not entailment
~(((x>c)|a))
(h|((l|r)>(e|(~(r)&x))))
0
0
0
0
not entailment
(c&(z&u))
(h|(((r|u)|(u&r))>(u|a)))
1
0
0
0
entailment
~((((e|b)&z)>b))
(~(b)>e)
1
1
1
1
entailment
(c&(z&u))
(~(b)>e)
0
1
0
0
not entailment
~((((e|b)&z)>b))
(h|(((r|u)|(u&r))>(u|a)))
0
0
0
0
not entailment
((((a&b)>h)&((x&a)&~(r)))|((r&u)&~(x)))
(r|x)
1
1
1
1
entailment
~((c|~(((r>(u|c))>(u&u)))))
(~(c)|(((z>~(c))>(c>x))&~(~((e|h)))))
1
0
0
0
entailment
((((a&b)>h)&((x&a)&~(r)))|((r&u)&~(x)))
(~(c)|(((z>~(c))>(c>x))&~(~((e|h)))))
0
1
0
0
not entailment
~((c|~(((r>(u|c))>(u&u)))))
(r|x)
0
1
0
0
not entailment
(~(((u>(z|h))&z))&(u|~(x)))
(~((~(z)|(~((x|h))&b)))>a)
1
1
0
0
entailment
~(~((~(((c|l)&l))&r)))
((e>r)&((e|a)>((a|(u>b))|(l>~(b)))))
1
0
0
0
entailment
(~(((u>(z|h))&z))&(u|~(x)))
((e>r)&((e|a)>((a|(u>b))|(l>~(b)))))
0
0
0
0
not entailment
~(~((~(((c|l)&l))&r)))
(~((~(z)|(~((x|h))&b)))>a)
0
0
0
0
not entailment
~((~((r&l))>z))
~(z)
1
1
1
1
entailment
~((z>a))
(a>u)
1
1
0
0
entailment
~((~((r&l))>z))
(a>u)
0
1
0
0
not entailment
~((z>a))
~(z)
0
1
1
0
not entailment
~(((r&b)>(u&h)))
(b&b)
1
1
1
1
entailment
(((z&z)&c)&((h>l)&r))
((c&(c|(h>r)))|(e>((h&e)>~(h))))
1
0
0
0
entailment
~(((r&b)>(u&h)))
((c&(c|(h>r)))|(e>((h&e)>~(h))))
0
0
0
0
not entailment
(((z&z)&c)&((h>l)&r))
(b&b)
0
1
0
0
not entailment
((l|(a>(~((a>u))>h)))&(r&(l&(l>z))))
(~(~(z))|(l>b))
1
1
0
0
entailment
((~(h)&~(b))&~(~((c&l))))
~((h&(x&a)))
1
1
0
0
entailment
((l|(a>(~((a>u))>h)))&(r&(l&(l>z))))
~((h&(x&a)))
0
1
0
0
not entailment
((~(h)&~(b))&~(~((c&l))))
(~(~(z))|(l>b))
0
1
0
0
not entailment
(e&(~(r)&((b|(x>u))|(~(z)|~((u>h))))))
~(((~((~((l>e))&z))|(e|a))&r))
1
1
0
0
entailment
(~(l)&(r|b))
((~((((z>a)&h)&l))|z)|(~((b>c))>a))
1
0
0
0
entailment
(e&(~(r)&((b|(x>u))|(~(z)|~((u>h))))))
((~((((z>a)&h)&l))|z)|(~((b>c))>a))
0
1
0
0
not entailment
(~(l)&(r|b))
~(((~((~((l>e))&z))|(e|a))&r))
0
0
0
0
not entailment
(r&((l|a)&e))
(~((~((l|(a>x)))|~(~(h))))|((b|a)|e))
1
0
0
0
entailment
~(~((~((e&l))&c)))
(((e|b)&u)>c)
1
1
0
0
entailment
(r&((l|a)&e))
(((e|b)&u)>c)
0
1
0
0
not entailment
~(~((~((e&l))&c)))
(~((~((l|(a>x)))|~(~(h))))|((b|a)|e))
0
0
0
0
not entailment
~((c>~(b)))
(~((e>u))|(u|((((c|h)>a)>b)&b)))
1
0
0
0
entailment
(~((((~(l)>(c&e))>r)&z))&r)
(r|z)
1
1
1
0
entailment
~((c>~(b)))
(r|z)
0
1
0
0
not entailment
(~((((~(l)>(c&e))>r)&z))&r)
(~((e>u))|(u|((((c|h)>a)>b)&b)))
0
0
0
0
not entailment
~((z>(~(h)>l)))
~((((x&(h|l))&r)|~((h>z))))
1
0
0
0
entailment
~(((l&(c&c))>((c|b)&(a|(u>~((h|b)))))))
(~(((((l>b)|z)|(c>c))|~((h|a))))|(l|u))
1
1
0
0
entailment
~((z>(~(h)>l)))
(~(((((l>b)|z)|(c>c))|~((h|a))))|(l|u))
0
0
0
0
not entailment
~(((l&(c&c))>((c|b)&(a|(u>~((h|b)))))))
~((((x&(h|l))&r)|~((h>z))))
0
1
0
0
not entailment
~((r>((b>~(h))>l)))
(~((h|b))|(z|((l&a)>r)))
1
0
0
0
entailment
((~((e&(u>(r&x))))&b)&h)
(~(b)>((b|((z|c)>x))>(x&u)))
1
0
0
0
entailment
~((r>((b>~(h))>l)))
(~(b)>((b|((z|c)>x))>(x&u)))
0
0
0
0
not entailment
((~((e&(u>(r&x))))&b)&h)
(~((h|b))|(z|((l&a)>r)))
0
1
0
0
not entailment
(x&~(~((c&((c|(u>u))>(u|u))))))
(r>(u|a))
1
1
0
0
entailment
~(((a&(x>(u&c)))|(e>~(~(z)))))
((x>e)|(((a&h)|(c|x))>(h>(c>(r|e)))))
1
0
0
0
entailment