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|r)&((((s>r)>d)|(r&g))&r))>(r&r)))
~(~((~(((r&r)>~(d)))|((s|q)|d))))
1
1
0
0
entailment
~(s)
((s>q)|(d&g))
1
0
0
0
entailment
(d&(((d|r)&((((s>r)>d)|(r&g))&r))>(r&r)))
((s>q)|(d&g))
0
1
0
0
not entailment
~(s)
~(~((~(((r&r)>~(d)))|((s|q)|d))))
0
0
0
0
not entailment
(((s&d)>q)&q)
((q|(d&q))&((g|~(~(d)))>q))
1
0
0
0
entailment
((d>r)&r)
(((q|s)|d)>(g>r))
1
0
0
0
entailment
(((s&d)>q)&q)
(((q|s)|d)>(g>r))
0
0
0
0
not entailment
((d>r)&r)
((q|(d&q))&((g|~(~(d)))>q))
0
0
0
0
not entailment
(~(g)|~(s))
((((s|s)&((q>(r>g))&g))>(g>r))|(g&(q|q)))
1
0
0
0
entailment
((g|(r&g))&(r>q))
((((r|(s&d))|r)|g)|(d|r))
1
0
0
0
entailment
(~(g)|~(s))
((((r|(s&d))|r)|g)|(d|r))
0
0
0
0
not entailment
((g|(r&g))&(r>q))
((((s|s)&((q>(r>g))&g))>(g>r))|(g&(q|q)))
0
0
0
0
not entailment
((s>~(g))&~(r))
((q>q)&((g&(g>r))>q))
1
0
0
0
entailment
~((r>d))
(s>((q|s)&(g|(r&s))))
1
0
0
0
entailment
((s>~(g))&~(r))
(s>((q|s)&(g|(r&s))))
0
0
0
0
not entailment
~((r>d))
((q>q)&((g&(g>r))>q))
0
0
0
0
not entailment
(((q&(d&~((s|q))))&(q>(q|d)))|~(r))
(~(r)|~((((r>r)>d)|((d>r)|g))))
1
1
0
0
entailment
(~((g&((q|r)|((g&(r>r))&((g>g)|q)))))&s)
((r|(d>s))|((r|q)|q))
1
1
0
0
entailment
(((q&(d&~((s|q))))&(q>(q|d)))|~(r))
((r|(d>s))|((r|q)|q))
0
1
1
0
not entailment
(~((g&((q|r)|((g&(r>r))&((g>g)|q)))))&s)
(~(r)|~((((r>r)>d)|((d>r)|g))))
0
1
0
0
not entailment
((s|d)>((q>((s|d)|q))&s))
(s|~(((d&r)&q)))
1
1
0
0
entailment
((~(~(r))>g)&d)
((~(((s>g)|~((d>(s&d)))))&(s>r))|d)
1
0
0
0
entailment
((s|d)>((q>((s|d)|q))&s))
((~(((s>g)|~((d>(s&d)))))&(s>r))|d)
0
0
0
0
not entailment
((~(~(r))>g)&d)
(s|~(((d&r)&q)))
0
1
0
0
not entailment
(~((g>r))&(~(d)&g))
((~((d>~((g|r))))>((d&g)&(d|r)))&g)
1
0
1
0
entailment
~(((s|~(s))&(q&q)))
((r&s)|(q>(((g>r)>r)>(s&q))))
1
0
0
0
entailment
(~((g>r))&(~(d)&g))
((r&s)|(q>(((g>r)>r)>(s&q))))
0
0
0
0
not entailment
~(((s|~(s))&(q&q)))
((~((d>~((g|r))))>((d&g)&(d|r)))&g)
0
0
0
0
not entailment
~((q>(r&(g>g))))
((d|q)&((r|d)|~(d)))
1
0
0
0
entailment
(~(q)&(((s>r)&s)|q))
((q|(q&d))>((q&d)>r))
1
1
0
0
entailment
~((q>(r&(g>g))))
((q|(q&d))>((q&d)>r))
0
0
0
0
not entailment
(~(q)&(((s>r)&s)|q))
((d|q)&((r|d)|~(d)))
0
1
0
0
not entailment
((q|(q&r))&~(s))
(d>q)
1
1
0
0
entailment
(~(s)&(q>(~(d)&q)))
~(~((~((d&q))|(g&(~(~(s))>(r&s))))))
1
0
0
0
entailment
((q|(q&r))&~(s))
~(~((~((d&q))|(g&(~(~(s))>(r&s))))))
0
0
0
0
not entailment
(~(s)&(q>(~(d)&q)))
(d>q)
0
1
1
1
not entailment
((g|r)&(g|d))
(~((g|r))>q)
1
1
0
0
entailment
((s&s)&d)
((q|(~(d)>~(g)))&(s|(d|q)))
1
0
0
0
entailment
((g|r)&(g|d))
((q|(~(d)>~(g)))&(s|(d|q)))
0
0
0
0
not entailment
((s&s)&d)
(~((g|r))>q)
0
0
0
0
not entailment
(d&r)
(((r|r)|(q|d))|((~(g)>d)|(d|r)))
1
0
0
0
entailment
(~(q)&(r>(~(r)>d)))
(q>((q|(g|s))&~((r&(s|g)))))
1
0
0
0
entailment
(d&r)
(q>((q|(g|s))&~((r&(s|g)))))
0
0
0
0
not entailment
(~(q)&(r>(~(r)>d)))
(((r|r)|(q|d))|((~(g)>d)|(d|r)))
0
0
0
0
not entailment
((h&((t&s)>h))&(s>(i&o)))
((o&~(h))>~((t|h)))
1
1
1
0
entailment
((s&(~(~((o|s)))>i))&(h>i))
(((~(h)|t)>~((t>h)))|s)
1
1
0
0
entailment
((h&((t&s)>h))&(s>(i&o)))
(((~(h)|t)>~((t>h)))|s)
0
1
1
0
not entailment
((s&(~(~((o|s)))>i))&(h>i))
((o&~(h))>~((t|h)))
0
1
0
0
not entailment
(h&i)
((i>s)|(s|((s&h)|h)))
1
0
0
0
entailment
(t|~(~(~(~(~((o>o)))))))
(((s|t)|(i&s))&t)
1
1
0
0
entailment
(h&i)
(((s|t)|(i&s))&t)
0
0
0
0
not entailment
(t|~(~(~(~(~((o>o)))))))
((i>s)|(s|((s&h)|h)))
0
1
0
0
not entailment
(((h&h)&(i|((o|i)>h)))&(t>o))
(~(o)>(h>~((t&((h|t)&t)))))
1
1
1
0
entailment
((h&i)&t)
(~((s&i))>((~((h>(t>s)))>i)>(t&i)))
1
0
0
0
entailment
(((h&h)&(i|((o|i)>h)))&(t>o))
(~((s&i))>((~((h>(t>s)))>i)>(t&i)))
0
0
0
0
not entailment
((h&i)&t)
(~(o)>(h>~((t&((h|t)&t)))))
0
0
0
0
not entailment
((~(o)|(h&((h>t)&(o|t))))&~(~(i)))
((i|h)|(((s|t)>i)&(o>~((h|h)))))
1
1
0
0
entailment
~(((~((i|(s>(t&(o|h)))))&((i|s)|i))>h))
(~((s|s))>h)
1
1
1
0
entailment
((~(o)|(h&((h>t)&(o|t))))&~(~(i)))
(~((s|s))>h)
0
1
0
0
not entailment
~(((~((i|(s>(t&(o|h)))))&((i|s)|i))>h))
((i|h)|(((s|t)>i)&(o>~((h|h)))))
0
1
1
0
not entailment
(s&(h&~(o)))
(t|h)
1
1
0
0
entailment
(((t&t)>(~(t)>~(~(~(i)))))>~((o|t)))
~((t|o))
1
1
1
1
entailment
(s&(h&~(o)))
~((t|o))
0
1
0
0
not entailment
(((t&t)>(~(t)>~(~(~(i)))))>~((o|t)))
(t|h)
0
1
0
0
not entailment
~((s>(o&i)))
(i|s)
1
1
1
0
entailment
((o|~(~(s)))&t)
(t|i)
1
1
0
0
entailment
~((s>(o&i)))
(t|i)
0
1
0
0
not entailment
((o|~(~(s)))&t)
(i|s)
0
1
0
0
not entailment
~((~(((~(h)>t)|i))|(t|~(h))))
(s|(h|t))
1
1
0
0
entailment
~((i|s))
((t>h)>~(i))
1
0
0
0
entailment
~((~(((~(h)>t)|i))|(t|~(h))))
((t>h)>~(i))
0
1
1
0
not entailment
~((i|s))
(s|(h|t))
0
1
0
0
not entailment
(i&h)
(i|((h&i)|((s|h)&((h|t)|(o|(~(o)|o))))))
1
0
0
0
entailment
((o>i)&~(((i|s)|s)))
((i|i)>(o&t))
1
1
0
0
entailment
(i&h)
((i|i)>(o&t))
0
0
0
0
not entailment
((o>i)&~(((i|s)|s)))
(i|((h&i)|((s|h)&((h|t)|(o|(~(o)|o))))))
0
0
0
0
not entailment
(~((h|t))&i)
((((o>o)>~((i|t)))&(h|i))|((s&s)|~(h)))
1
0
0
0
entailment
((h&(h&t))|((s|h)|(((h>s)>h)&h)))
((h|s)|(t&h))
1
1
1
1
entailment
(~((h|t))&i)
((h|s)|(t&h))
0
1
0
0
not entailment
((h&(h&t))|((s|h)|(((h>s)>h)&h)))
((((o>o)>~((i|t)))&(h|i))|((s&s)|~(h)))
0
0
0
0
not entailment
(h&~(~(((h&s)|s))))
((o&(t>(h>i)))>(i|((s>h)&h)))
1
0
0
0
entailment
((~(((s>i)>o))>~((~((s>i))>o)))&(s&t))
(~((~((s|((s&(s&~((h>s))))>h)))|i))|o)
1
1
0
0
entailment
(h&~(~(((h&s)|s))))
(~((~((s|((s&(s&~((h>s))))>h)))|i))|o)
0
0
0
0
not entailment
((~(((s>i)>o))>~((~((s>i))>o)))&(s&t))
((o&(t>(h>i)))>(i|((s>h)&h)))
0
1
0
0
not entailment
~((~((s>o))>i))
(~(o)|t)
1
1
0
0
entailment
(i&o)
((o|(t|((o>o)&o)))|(o|h))
1
0
0
0
entailment
~((~((s>o))>i))
((o|(t|((o>o)&o)))|(o|h))
0
0
0
0
not entailment
(i&o)
(~(o)|t)
0
0
0
0
not entailment
~(((i&h)|~(((~(h)|(o&(t&s)))|(t>h)))))
(i>(h>(s|s)))
1
1
1
1
entailment
((s&(t|t))|o)
(~(t)>o)
1
1
1
1
entailment
~(((i&h)|~(((~(h)|(o&(t&s)))|(t>h)))))
(~(t)>o)
0
1
1
1
not entailment
((s&(t|t))|o)
(i>(h>(s|s)))
0
1
0
0
not entailment
(~((~(((s|s)>t))&h))&((s&h)&o))
((i&s)|((t&t)|t))
1
1
0
0
entailment
((h>h)&i)
(~(o)|i)
1
1
0
0
entailment
(~((~(((s|s)>t))&h))&((s&h)&o))
(~(o)|i)
0
1
0
0
not entailment
((h>h)&i)
((i&s)|((t&t)|t))
0
0
0
0
not entailment
~((s>(t|h)))
(~((o&(h>o)))|s)
1
0
0
0
entailment
(((t>(~(o)|~(s)))|(h>s))&o)
((((t&h)&(s>s))|(h|o))|t)
1
1
1
0
entailment
~((s>(t|h)))
((((t&h)&(s>s))|(h|o))|t)
0
0
0
0
not entailment
(((t>(~(o)|~(s)))|(h>s))&o)
(~((o&(h>o)))|s)
0
1
1
0
not entailment