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
~(((((l|(s&s))|(i&(s|(d&d))))&t)|f))
~(~(((t>s)|~((l|l)))))
1
1
1
0
entailment
~(~((~(~((f&a)))&(a>(i|(~(z)>l))))))
~(~(((t>s)|~((l|l)))))
0
1
0
0
not entailment
~(((((l|(s&s))|(i&(s|(d&d))))&t)|f))
((((a>(t&t))>(~(a)>z))>((t>a)>s))|(z>a))
0
0
0
0
not entailment
~(((~(l)>(z>a))|(((l&z)>z)>f)))
~(~((f|(z|(l>s)))))
1
1
0
0
entailment
(~((f|(t>((a&t)|z))))&(l&t))
(l|(d&i))
1
1
0
0
entailment
~(((~(l)>(z>a))|(((l&z)>z)>f)))
(l|(d&i))
0
1
0
0
not entailment
(~((f|(t>((a&t)|z))))&(l&t))
~(~((f|(z|(l>s)))))
0
1
0
0
not entailment
(((f|s)&(z|d))&(~(f)&t))
((((i&l)>f)|t)|(d&~((z|(t|f)))))
1
0
0
0
entailment
(((((d|s)|l)&(z&t))>t)&a)
(((d>a)|((((t|i)>s)>(f>l))&(t>f)))|i)
1
0
0
0
entailment
(((f|s)&(z|d))&(~(f)&t))
(((d>a)|((((t|i)>s)>(f>l))&(t>f)))|i)
0
0
0
0
not entailment
(((((d|s)|l)&(z&t))>t)&a)
((((i&l)>f)|t)|(d&~((z|(t|f)))))
0
0
0
0
not entailment
~((~(l)>~(~(~(~((z|f)))))))
((f>s)|(s&i))
1
1
0
0
entailment
~((a|(~((d|d))>l)))
((d>(t|f))|i)
1
1
0
0
entailment
~((~(l)>~(~(~(~((z|f)))))))
((d>(t|f))|i)
0
1
0
0
not entailment
~((a|(~((d|d))>l)))
((f>s)|(s&i))
0
1
0
0
not entailment
(l&t)
(~(((a&t)>(s>t)))|(d>t))
1
0
0
0
entailment
(i&(a&(a>z)))
(~(d)|((~((~(i)|i))&f)|(((z>l)&s)|z)))
1
0
0
0
entailment
(l&t)
(~(d)|((~((~(i)|i))&f)|(((z>l)&s)|z)))
0
0
0
0
not entailment
(i&(a&(a>z)))
(~(((a&t)>(s>t)))|(d>t))
0
0
0
0
not entailment
~((~(d)>(l>(d|f))))
(((~(~(f))&a)&l)>(~((z&s))&(a>z)))
1
0
0
0
entailment
~((z|t))
(((~((a|f))|l)>((l&t)>(l>d)))|(f|z))
1
0
0
0
entailment
~((~(d)>(l>(d|f))))
(((~((a|f))|l)>((l&t)>(l>d)))|(f|z))
0
0
0
0
not entailment
~((z|t))
(((~(~(f))&a)&l)>(~((z&s))&(a>z)))
0
0
0
0
not entailment
((f>i)&(~(z)&((~((t>s))&s)>a)))
(((s&d)&z)>(f>(a|(d>l))))
1
1
0
0
entailment
(((i|z)&t)|(~(~((t&i)))&z))
(t|f)
1
1
0
0
entailment
((f>i)&(~(z)&((~((t>s))&s)>a)))
(t|f)
0
1
1
0
not entailment
(((i|z)&t)|(~(~((t&i)))&z))
(((s&d)&z)>(f>(a|(d>l))))
0
1
0
0
not entailment
(((l&s)&z)|l)
~(~(l))
1
1
1
1
entailment
(((i|s)>i)&s)
(l>s)
1
1
0
0
entailment
(((l&s)&z)|l)
(l>s)
0
1
1
0
not entailment
(((i|s)>i)&s)
~(~(l))
0
1
0
0
not entailment
((l&((l&a)&z))&((f&(t>s))&a))
((~(s)|((a>i)|l))|~(((d&a)>~(t))))
1
0
0
0
entailment
((((z>f)&t)&s)&(z>(a>d)))
(s|s)
1
1
1
1
entailment
((l&((l&a)&z))&((f&(t>s))&a))
(s|s)
0
1
1
1
not entailment
((((z>f)&t)&s)&(z>(a>d)))
((~(s)|((a>i)|l))|~(((d&a)>~(t))))
0
0
0
0
not entailment
(((a&z)&~((f>f)))|((f&z)&((l>l)|a)))
~(~(((s&d)|f)))
1
1
0
0
entailment
~((~(((d&d)>d))|(i>((t|f)&f))))
((f>z)&i)
1
1
0
0
entailment
(((a&z)&~((f>f)))|((f&z)&((l>l)|a)))
((f>z)&i)
0
1
0
0
not entailment
~((~(((d&d)>d))|(i>((t|f)&f))))
~(~(((s&d)|f)))
0
1
0
0
not entailment
~((t>d))
((~(z)>l)|(i|(d>f)))
1
0
0
0
entailment
(t&a)
(a|((((i>(a|z))&a)|l)>(i&((d&(a&l))>z))))
1
0
0
0
entailment
~((t>d))
(a|((((i>(a|z))&a)|l)>(i&((d&(a&l))>z))))
0
0
0
0
not entailment
(t&a)
((~(z)>l)|(i|(d>f)))
0
0
0
0
not entailment
~(((f>a)|((t&((f&t)>d))>~(z))))
(~(~(((t>(i&d))>s)))|(d&i))
1
1
0
0
entailment
(~((s|z))&d)
((~(f)|~((s&l)))|((t>~((f>s)))&s))
1
0
0
0
entailment
~(((f>a)|((t&((f&t)>d))>~(z))))
((~(f)|~((s&l)))|((t>~((f>s)))&s))
0
0
0
0
not entailment
(~((s|z))&d)
(~(~(((t>(i&d))>s)))|(d&i))
0
0
0
0
not entailment
(f&~(s))
((d>~(~(f)))|~((a|a)))
1
0
0
0
entailment
~(((l>d)>(~((a&(~(z)>t)))>~((l|d)))))
((~(a)>~((f|i)))>(~(d)>(((f&i)|s)|d)))
1
1
0
0
entailment
(f&~(s))
((~(a)>~((f|i)))>(~(d)>(((f&i)|s)|d)))
0
0
0
0
not entailment
~(((l>d)>(~((a&(~(z)>t)))>~((l|d)))))
((d>~(~(f)))|~((a|a)))
0
1
0
0
not entailment
(((f>~(l))>((l>d)|d))&((t>(f&d))&t))
(((z&(i&z))|(a|d))|((((f|l)>f)&a)|z))
1
1
0
0
entailment
(f>l)
((f>l)|(~(~((f|f)))>((a>s)|(t&s))))
1
0
0
0
entailment
(((f>~(l))>((l>d)|d))&((t>(f&d))&t))
((f>l)|(~(~((f|f)))>((a>s)|(t&s))))
0
1
0
0
not entailment
(f>l)
(((z&(i&z))|(a|d))|((((f|l)>f)&a)|z))
0
0
0
0
not entailment
(a&((~((z&d))>((f>d)>(i&t)))&s))
(s&s)
1
1
1
1
entailment
(((t>d)&(a&d))&f)
((s>z)|d)
1
1
0
0
entailment
(a&((~((z&d))>((f>d)>(i&t)))&s))
((s>z)|d)
0
1
1
0
not entailment
(((t>d)&(a&d))&f)
(s&s)
0
1
0
0
not entailment
~(((l|l)>((a|~(l))>z)))
((((z|l)|((~(z)|(d>(i&f)))>d))|(a|z))&a)
1
0
0
0
entailment
~(((t>(i&f))|((i&d)>(s>a))))
((~(((f&f)|a))|(i|t))>(t|(d|d)))
1
0
1
0
entailment
~(((l|l)>((a|~(l))>z)))
((~(((f&f)|a))|(i|t))>(t|(d|d)))
0
0
0
0
not entailment
~(((t>(i&f))|((i&d)>(s>a))))
((((z|l)|((~(z)|(d>(i&f)))>d))|(a|z))&a)
0
0
0
0
not entailment
(((t|t)|a)&~((s>(a>f))))
(((l&(t|z))|a)|i)
1
1
0
0
entailment
~((~((a>~(f)))|(z|~(~((t>i))))))
(((~((s|z))|d)|s)>(z>t))
1
1
0
0
entailment
(((t|t)|a)&~((s>(a>f))))
(((~((s|z))|d)|s)>(z>t))
0
1
0
0
not entailment
~((~((a>~(f)))|(z|~(~((t>i))))))
(((l&(t|z))|a)|i)
0
1
0
0
not entailment
(t&(l>z))
~((((d&f)>(s|(z|(f|(l>d)))))&~((t|a))))
1
0
0
0
entailment
(f&(z&~(d)))
((d|l)>(i|f))
1
1
0
0
entailment
(t&(l>z))
((d|l)>(i|f))
0
0
0
0
not entailment
(f&(z&~(d)))
~((((d&f)>(s|(z|(f|(l>d)))))&~((t|a))))
0
0
0
0
not entailment
(q&l)
~((~(~((l|q)))>~(q)))
1
0
1
1
entailment
((l|l)&~((q&q)))
~(((((l&q)&(q&q))|(l>q))|q))
1
0
1
0
entailment
(q&l)
~(((((l&q)&(q&q))|(l>q))|q))
0
0
1
0
not entailment
((l|l)&~((q&q)))
~((~(~((l|q)))>~(q)))
0
0
1
0
not entailment
~((~((~(q)>(l|(q&l))))|((l&q)|~(q))))
(q|l)
1
1
1
1
entailment
(((~((q&((l|l)>l)))&l)>l)&~(q))
((~(~((q>q)))>q)>((l&l)&(q|q)))
1
1
1
1
entailment
~((~((~(q)>(l|(q&l))))|((l&q)|~(q))))
((~(~((q>q)))>q)>((l&l)&(q|q)))
0
1
1
1
not entailment
(((~((q&((l|l)>l)))&l)>l)&~(q))
(q|l)
0
1
1
1
not entailment
(l|l)
(l|q)
1
1
0
0
entailment
((l>(~(q)&q))|(~((q>(l&q)))&((q>q)|l)))
~((q&l))
1
1
1
1
entailment
(l|l)
~((q&l))
0
0
0
0
not entailment
((l>(~(q)&q))|(~((q>(l&q)))&((q>q)|l)))
(l|q)
0
1
1
1
not entailment
(l&q)
(l&(l&(((q>l)>q)>l)))
1
0
1
0
entailment
(((~((q>~(q)))|q)&q)>(l&~(l)))
~((~(~(~((l>l))))|q))
1
1
1
1
entailment
(l&q)
~((~(~(~((l>l))))|q))
0
0
1
0
not entailment
(((~((q>~(q)))|q)&q)>(l&~(l)))
(l&(l&(((q>l)>q)>l)))
0
1
1
1
not entailment
~(~(~(q)))
((q|(q|l))>l)
1
1
0
0
entailment
~(((~((((l&l)&q)&l))&(q&q))>(l&q)))
(l>q)
1
1
1
1
entailment
~(~(~(q)))
(l>q)
0
1
0
0
not entailment
~(((~((((l&l)&q)&l))&(q&q))>(l&q)))
((q|(q|l))>l)
0
1
1
0
not entailment
~(~((l|l)))
(((q>~(((l|q)>l)))>l)&l)
1
0
0
0
entailment
(q|~(((l>l)|q)))
(~((l>l))|q)
1
1
1
1
entailment
~(~((l|l)))
(~((l>l))|q)
0
1
0
0
not entailment
(q|~(((l>l)|q)))
(((q>~(((l|q)>l)))>l)&l)
0
0
1
1
not entailment
~(((l&q)>(~((q>(q|l)))&(q>(q|q)))))
((q&q)|l)
1
1
1
1
entailment
~(q)
(l>~(q))
1
0
0
0
entailment
~(((l&q)>(~((q>(q|l)))&(q>(q|q)))))
(l>~(q))
0
1
1
0
not entailment
~(q)
((q&q)|l)
0
0
0
0
not entailment
(~(l)&((l>~(((q|q)>~(l))))>(q>l)))
(~(~((q>(q>((l&(l|l))&(q&(l&q)))))))|l)
1
0
1
0
entailment