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
(i&(i>((i|q)&~(f))))
(((~(k)>f)|k)|((q&~(k))&f))
0
0
0
0
not entailment
~((f>k))
((q>(q&(s|s)))|~((q>(s|f))))
0
0
0
0
not entailment
((~((q&k))>(s&(k|s)))&(i&i))
((~(i)&((f>i)>s))>(~(q)&~(~(k))))
1
0
0
0
entailment
(((k&s)|~(k))&~(~((~(i)&~(~(s))))))
(~(((f>i)>(f>k)))>~(i))
1
1
0
0
entailment
((~((q&k))>(s&(k|s)))&(i&i))
(~(((f>i)>(f>k)))>~(i))
0
1
0
0
not entailment
(((k&s)|~(k))&~(~((~(i)&~(~(s))))))
((~(i)&((f>i)>s))>(~(q)&~(~(k))))
0
1
0
0
not entailment
(i&s)
((~(~(((s>q)>(i&q))))>s)|(s|k))
1
0
0
0
entailment
(f&q)
(~((i&(k|((q>f)>s))))|~(~(f)))
1
0
0
0
entailment
(i&s)
(~((i&(k|((q>f)>s))))|~(~(f)))
0
0
0
0
not entailment
(f&q)
((~(~(((s>q)>(i&q))))>s)|(s|k))
0
0
0
0
not entailment
((i>k)>~(((q&s)>s)))
~(((i&k)&~(~((((i>s)>f)>(f>i))))))
1
0
0
0
entailment
(k&s)
((f>s)&(~(s)|(i>i)))
1
0
0
0
entailment
((i>k)>~(((q&s)>s)))
((f>s)&(~(s)|(i>i)))
0
1
0
0
not entailment
(k&s)
~(((i&k)&~(~((((i>s)>f)>(f>i))))))
0
0
0
0
not entailment
((e|c)&(k&(k|c)))
(~(c)>e)
1
1
1
1
entailment
(~(c)&(k&~(e)))
(((e>k)>c)|~((e&(~(c)>e))))
1
0
1
0
entailment
((e|c)&(k&(k|c)))
(((e>k)>c)|~((e&(~(c)>e))))
0
0
1
0
not entailment
(~(c)&(k&~(e)))
(~(c)>e)
0
1
1
0
not entailment
~(~((((c>~(k))|((k|e)|k))&c)))
((((k&k)>e)&c)|c)
1
1
1
1
entailment
~(((c|(k&e))&((c&~(k))>((k>c)|k))))
(c>((e|e)|(k&c)))
1
1
1
0
entailment
~(~((((c>~(k))|((k|e)|k))&c)))
(c>((e|e)|(k&c)))
0
1
1
1
not entailment
~(((c|(k&e))&((c&~(k))>((k>c)|k))))
((((k&k)>e)&c)|c)
0
1
1
0
not entailment
(e&~(k))
(~((c|c))>e)
1
0
0
0
entailment
(k|k)
(k&k)
1
1
1
1
entailment
(e&~(k))
(k&k)
0
1
1
0
not entailment
(k|k)
(~((c|c))>e)
0
0
0
0
not entailment
~((e>(c&e)))
((c|~((c|(e|(e|k)))))>((e&k)&(c|(e|c))))
1
0
0
0
entailment
(c&k)
(((~(k)|c)>e)>(c&k))
1
0
0
0
entailment
~((e>(c&e)))
(((~(k)|c)>e)>(c&k))
0
0
0
0
not entailment
(c&k)
((c|~((c|(e|(e|k)))))>((e&k)&(c|(e|c))))
0
0
0
0
not entailment
(~((~((c|c))|(c|e)))|k)
((e|k)|((e&e)|(e|(e&k))))
1
1
1
0
entailment
~(((c|c)|k))
(e|(~(c)&(k>e)))
1
0
0
0
entailment
(~((~((c|c))|(c|e)))|k)
(e|(~(c)&(k>e)))
0
1
1
0
not entailment
~(((c|c)|k))
((e|k)|((e&e)|(e|(e&k))))
0
0
0
0
not entailment
(((~((k>e))>~((~(k)>e)))|c)&(e|(k&c)))
(e|k)
1
1
1
1
entailment
((k|e)>(e|e))
(k>(e&e))
1
1
1
1
entailment
(((~((k>e))>~((~(k)>e)))|c)&(e|(k&c)))
(k>(e&e))
0
1
1
1
not entailment
((k|e)>(e|e))
(e|k)
0
1
1
0
not entailment
((e&c)|(c&(e&(e|c))))
((k|((e|c)>(e&c)))>((e|e)&c))
1
0
0
0
entailment
((((k>k)&~(e))|(c|(e&e)))>(((e>c)>k)&c))
(((e>e)|e)&(e>k))
1
1
1
1
entailment
((e&c)|(c&(e&(e|c))))
(((e>e)|e)&(e>k))
0
1
0
0
not entailment
((((k>k)&~(e))|(c|(e&e)))>(((e>c)>k)&c))
((k|((e|c)>(e&c)))>((e|e)&c))
0
1
1
1
not entailment
((~(c)|c)&(e&e))
(e&~(~(e)))
1
1
1
1
entailment
(k&(((e>(((c>e)|e)>k))|c)>(c>e)))
(~(~(((c>e)&(e>k))))&k)
1
1
1
0
entailment
((~(c)|c)&(e&e))
(~(~(((c>e)&(e>k))))&k)
0
0
0
0
not entailment
(k&(((e>(((c>e)|e)>k))|c)>(c>e)))
(e&~(~(e)))
0
1
1
1
not entailment
((e>(e|k))&(e&k))
~(~(e))
1
1
1
1
entailment
(c&(c&c))
(c|(((~((e|k))&k)|k)>c))
1
0
0
0
entailment
((e>(e|k))&(e&k))
(c|(((~((e|k))&k)|k)>c))
0
0
0
0
not entailment
(c&(c&c))
~(~(e))
0
1
0
0
not entailment
(((e>k)>e)&c)
(e|k)
1
1
1
0
entailment
~(((c>k)&((((e>e)&k)|~(k))|(c>k))))
((e&k)>~(e))
1
1
1
1
entailment
(((e>k)>e)&c)
((e&k)>~(e))
0
1
1
0
not entailment
~(((c>k)&((((e>e)&k)|~(k))|(c>k))))
(e|k)
0
1
1
1
not entailment
(((e|e)&((c&(c&k))>(e|(k|k))))&(k&c))
(c&(k>(k>c)))
1
1
1
1
entailment
((k>c)>~(e))
~(~(~((((k&(c&c))&(e&e))&e))))
1
0
1
0
entailment
(((e|e)&((c&(c&k))>(e|(k|k))))&(k&c))
~(~(~((((k&(c&c))&(e&e))&e))))
0
1
1
0
not entailment
((k>c)>~(e))
(c&(k>(k>c)))
0
1
1
0
not entailment
~((e>~(((~(k)|c)&k))))
(c&(e&((k&e)|k)))
1
1
1
1
entailment
~((k|c))
((e|k)>~(((k|(c>c))>(c|k))))
1
0
0
0
entailment
~((e>~(((~(k)|c)&k))))
((e|k)>~(((k|(c>c))>(c|k))))
0
0
1
0
not entailment
~((k|c))
(c&(e&((k&e)|k)))
0
0
0
0
not entailment
~(~((((c&c)&c)>(k&k))))
~(((~(c)&c)|~((e|(((c&k)&k)|~(c))))))
1
0
0
0
entailment
(((c|e)>~((k&c)))&(~(c)>(k&c)))
(~(k)|(k&c))
1
1
1
1
entailment
~(~((((c&c)&c)>(k&k))))
(~(k)|(k&c))
0
1
1
0
not entailment
(((c|e)>~((k&c)))&(~(c)>(k&c)))
~(((~(c)&c)|~((e|(((c&k)&k)|~(c))))))
0
0
1
0
not entailment
((z&c)&(~(i)&(((b|i)&m)>(b>i))))
(~(z)>z)
1
1
1
1
entailment
((((m&z)|(z&(b|~(z))))>~(((v>a)>z)))>a)
(((m|a)|((d|b)|f))|(v&d))
1
1
0
0
entailment
((z&c)&(~(i)&(((b|i)&m)>(b>i))))
(((m|a)|((d|b)|f))|(v&d))
0
1
0
0
not entailment
((((m&z)|(z&(b|~(z))))>~(((v>a)>z)))>a)
(~(z)>z)
0
1
1
1
not entailment
(~((c|(z>b)))&~(((v>z)&(n|d))))
((v&(~(c)&d))|(((f&i)|(d>~((v>a))))|v))
1
0
0
0
entailment
~((i>(((((d|m)|(z|z))>(a|(z&i)))|c)|f)))
~((z&(~(m)>i)))
1
1
1
0
entailment
(~((c|(z>b)))&~(((v>z)&(n|d))))
~((z&(~(m)>i)))
0
1
0
0
not entailment
~((i>(((((d|m)|(z|z))>(a|(z&i)))|c)|f)))
((v&(~(c)&d))|(((f&i)|(d>~((v>a))))|v))
0
1
0
0
not entailment
~((((f|c)>c)|~(((i>i)&~(m)))))
((m|~(i))|(z|(c>(a|d))))
1
1
0
0
entailment
(~(~((((n&m)&n)>v)))&b)
((~(i)|i)&b)
1
1
0
0
entailment
~((((f|c)>c)|~(((i>i)&~(m)))))
((~(i)|i)&b)
0
1
0
0
not entailment
(~(~((((n&m)&n)>v)))&b)
((m|~(i))|(z|(c>(a|d))))
0
1
0
0
not entailment
(d|d)
(d|z)
1
1
0
0
entailment
((v|b)&~(b))
(~((f|(((m|n)&~((n>(z&a))))&c)))|(i|v))
1
0
0
0
entailment
(d|d)
(~((f|(((m|n)&~((n>(z&a))))&c)))|(i|v))
0
0
0
0
not entailment
((v|b)&~(b))
(d|z)
0
1
0
0
not entailment
(d|(i&z))
(i|d)
1
1
1
1
entailment
~(((((a>a)|i)&(f|m))>f))
((i&a)|~((c&f)))
1
1
0
0
entailment
(d|(i&z))
((i&a)|~((c&f)))
0
0
0
0
not entailment
~(((((a>a)|i)&(f|m))>f))
(i|d)
0
1
0
0
not entailment
(~(~((a>c)))&(c&(d&b)))
(((a&~(d))|(c>b))|(~(z)>(v|((f|m)|b))))
1
0
0
0
entailment
((d>~(b))&a)
(((z&f)>(z>a))|~(n))
1
0
0
0
entailment
(~(~((a>c)))&(c&(d&b)))
(((z&f)>(z>a))|~(n))
0
1
0
0
not entailment
((d>~(b))&a)
(((a&~(d))|(c>b))|(~(z)>(v|((f|m)|b))))
0
0
0
0
not entailment
~(((d&(v&(z&c)))>~(d)))
~(~((v>z)))
1
1
1
0
entailment
(((v|v)&b)&((d|v)&(d&~(f))))
(((n|(f&f))&z)>(b|~(((m>~(c))|d))))
1
0
0
0
entailment
~(((d&(v&(z&c)))>~(d)))
(((n|(f&f))&z)>(b|~(((m>~(c))|d))))
0
0
0
0
not entailment
(((v|v)&b)&((d|v)&(d&~(f))))
~(~((v>z)))
0
1
0
0
not entailment
(z&(a&v))
(a|~(~(v)))
1
0
1
1
entailment
((d&(m|m))|~((a|((((f>a)>m)&a)>d))))
~((~(d)&b))
1
1
0
0
entailment
(z&(a&v))
~((~(d)&b))
0
0
0
0
not entailment
((d&(m|m))|~((a|((((f>a)>m)&a)>d))))
(a|~(~(v)))
0
1
0
0
not entailment
~((((v&i)>d)&(~((m>((d|a)&n)))>a)))
(((i>a)&(d&a))>z)
1
1
0
0
entailment
((((m|z)&f)>~((a|(i|n))))&v)
(b>v)
1
1
0
0
entailment