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
(((g|v)&s)&((s|v)&v))
(((v>v)|~((v|(g>v))))>(g|g))
0
0
1
0
not entailment
(g>~(g))
((((v&s)&s)>s)>(g>(s>(v&g))))
1
0
0
0
entailment
~((((g|v)>(s>s))&(g>v)))
(g&((g>(~(s)&s))>(v>v)))
1
1
1
1
entailment
(g>~(g))
(g&((g>(~(s)&s))>(v>v)))
0
0
0
0
not entailment
~((((g|v)>(s>s))&(g>v)))
((((v&s)&s)>s)>(g>(s>(v&g))))
0
0
1
0
not entailment
(q|q)
((q|q)|(q|q))
1
0
1
1
entailment
~((q|q))
~((~(q)>((q>q)&(q&q))))
1
0
1
0
entailment
(q|q)
~((~(q)>((q>q)&(q&q))))
0
0
1
0
not entailment
~((q|q))
((q|q)|(q|q))
0
0
1
0
not entailment
((((q>q)>~(q))|q)>q)
((q&(q>q))&q)
1
1
1
1
entailment
~((((~((q|q))>(q&q))&q)|(q&q)))
(((q&q)|(~(q)|q))&~(q))
1
1
1
0
entailment
((((q>q)>~(q))|q)>q)
(((q&q)|(~(q)|q))&~(q))
0
0
1
1
not entailment
~((((~((q|q))>(q&q))&q)|(q&q)))
((q&(q>q))&q)
0
1
1
0
not entailment
~((i>c))
(i|s)
1
1
0
0
entailment
~(((a|a)>((i|f)&s)))
((a|c)|(s|((a|~(c))>c)))
1
0
0
0
entailment
~((i>c))
((a|c)|(s|((a|~(c))>c)))
0
0
0
0
not entailment
~(((a|a)>((i|f)&s)))
(i|s)
0
1
1
0
not entailment
~((i>(a|(f&(a&f)))))
~(((i>(i&~((c|i))))|((~(c)&(c|c))&a)))
1
0
0
0
entailment
((((a|a)&((f|((s&f)|a))>f))>s)&(s|(f&s)))
(s&((~(s)>s)|c))
1
1
0
0
entailment
~((i>(a|(f&(a&f)))))
(s&((~(s)>s)|c))
0
1
0
0
not entailment
((((a|a)&((f|((s&f)|a))>f))>s)&(s|(f&s)))
~(((i>(i&~((c|i))))|((~(c)&(c|c))&a)))
0
1
0
0
not entailment
((f>(c&(f>(i>c))))&(i&a))
(s>((~(f)|((f&i)&(c|f)))|~(f)))
1
0
0
0
entailment
(~((c&(a|c)))&((c>f)>~((a&a))))
((~(s)&(((s|a)>c)&~(f)))>~((a|f)))
1
0
0
0
entailment
((f>(c&(f>(i>c))))&(i&a))
((~(s)&(((s|a)>c)&~(f)))>~((a|f)))
0
0
0
0
not entailment
(~((c&(a|c)))&((c>f)>~((a&a))))
(s>((~(f)|((f&i)&(c|f)))|~(f)))
0
1
0
0
not entailment
~(~(((s&f)&(a>s))))
((((c|a)|f)&~(i))>f)
1
1
0
0
entailment
((f|c)&(a|i))
((i&i)|a)
1
1
1
1
entailment
~(~(((s&f)&(a>s))))
((i&i)|a)
0
1
0
0
not entailment
((f|c)&(a|i))
((((c|a)|f)&~(i))>f)
0
0
1
0
not entailment
~(((~(f)|a)|a))
((s>i)|((f&f)|a))
1
1
0
0
entailment
(s|(s&a))
(~(c)|(~(s)>(c&~((a|(c>c))))))
1
0
0
0
entailment
~(((~(f)|a)|a))
(~(c)|(~(s)>(c&~((a|(c>c))))))
0
0
0
0
not entailment
(s|(s&a))
((s>i)|((f&f)|a))
0
0
0
0
not entailment
~(((a>c)&(i>(c>(i>(i|c))))))
(f|((a|c)|s))
1
1
0
0
entailment
~(((~(s)>a)|f))
~(a)
1
1
1
1
entailment
~(((a>c)&(i>(c>(i>(i|c))))))
~(a)
0
1
1
0
not entailment
~(((~(s)>a)|f))
(f|((a|c)|s))
0
1
0
0
not entailment
((c|(s|(c&s)))&((c>(((a|f)&(f&s))&s))&f))
(a>f)
1
1
1
0
entailment
~((~((~((a>f))>(f&c)))>(a&s)))
((~(f)|(i|f))&(~(f)&(c>a)))
1
1
0
0
entailment
((c|(s|(c&s)))&((c>(((a|f)&(f&s))&s))&f))
((~(f)|(i|f))&(~(f)&(c>a)))
0
1
0
0
not entailment
~((~((~((a>f))>(f&c)))>(a&s)))
(a>f)
0
1
1
0
not entailment
(((f&~(a))&(f>c))&((i|i)|~(~(~(i)))))
((~(~((a|f)))>~(c))>(c|a))
1
1
1
0
entailment
(f&s)
(((~((a|(f>s)))>((i|a)>f))&(c|f))&(s&s))
1
0
0
0
entailment
(((f&~(a))&(f>c))&((i|i)|~(~(~(i)))))
(((~((a|(f>s)))>((i|a)>f))&(c|f))&(s&s))
0
1
0
0
not entailment
(f&s)
((~(~((a|f)))>~(c))>(c|a))
0
0
0
0
not entailment
~(((((s|f)&a)&((i>s)|(f&s)))>(c|i)))
(~(~(((i&a)|((f&i)&(c>a)))))>c)
1
1
1
0
entailment
~((f>a))
(f|~(~(((a&s)&c))))
1
0
0
0
entailment
~(((((s|f)&a)&((i>s)|(f&s)))>(c|i)))
(f|~(~(((a&s)&c))))
0
1
1
0
not entailment
~((f>a))
(~(~(((i&a)|((f&i)&(c>a)))))>c)
0
0
0
0
not entailment
~((((f|c)|a)&(c|(c>(s>i)))))
~(~(((a|c)>c)))
1
1
1
1
entailment
((~((a&s))&~(i))>c)
((c|~(s))>((i|s)|c))
1
1
1
0
entailment
~((((f|c)|a)&(c|(c>(s>i)))))
((c|~(s))>((i|s)|c))
0
1
1
0
not entailment
((~((a&s))&~(i))>c)
~(~(((a|c)>c)))
0
1
1
0
not entailment
((~(((a&f)>s))&f)|(~((a>f))&f))
~((i&(s&(s&f))))
1
1
0
0
entailment
((f&s)|~(~(((~(i)&(f&a))&s))))
((~((i>f))|~((c&i)))|((~(c)&f)|(s&s)))
1
0
0
0
entailment
((~(((a&f)>s))&f)|(~((a>f))&f))
((~((i>f))|~((c&i)))|((~(c)&f)|(s&s)))
0
0
0
0
not entailment
((f&s)|~(~(((~(i)&(f&a))&s))))
~((i&(s&(s&f))))
0
1
1
0
not entailment
~(((a|f)|~((s|c))))
((s&f)>~(s))
1
1
1
0
entailment
((c>i)&~(~(((s|(s>s))>i))))
(i|s)
1
1
1
1
entailment
~(((a|f)|~((s|c))))
(i|s)
0
1
0
0
not entailment
((c>i)&~(~(((s|(s>s))>i))))
((s&f)>~(s))
0
1
0
0
not entailment
(i&~((s&(~(c)>(~(c)|((f>f)|c))))))
((i|c)&(i&(i&i)))
1
1
1
1
entailment
((~((s&i))&f)&((s|(~(a)>s))&(i|(c&s))))
((i>(f|(f&s)))|((c|c)|~((s|a))))
1
1
1
0
entailment
(i&~((s&(~(c)>(~(c)|((f>f)|c))))))
((i>(f|(f&s)))|((c|c)|~((s|a))))
0
1
0
0
not entailment
((~((s&i))&f)&((s|(~(a)>s))&(i|(c&s))))
((i|c)&(i&(i&i)))
0
1
1
1
not entailment
~(c)
(c>~((c>a)))
1
0
0
0
entailment
(i&(((f>(f&f))&a)&(i>c)))
(~(((c&s)>s))|(c&i))
1
1
0
0
entailment
~(c)
(~(((c&s)>s))|(c&i))
0
0
0
0
not entailment
(i&(((f>(f&f))&a)&(i>c)))
(c>~((c>a)))
0
1
1
0
not entailment
((c&i)|s)
((i|((c|i)>((c&f)>a)))|s)
1
0
0
0
entailment
(~((c&(s|f)))>c)
(c|~((~(~((i>((a|a)>f))))&~(a))))
1
0
0
0
entailment
((c&i)|s)
(c|~((~(~((i>((a|a)>f))))&~(a))))
0
0
0
0
not entailment
(~((c&(s|f)))>c)
((i|((c|i)>((c&f)>a)))|s)
0
0
0
0
not entailment
(i&~((i>c)))
((a&f)|(s|(c>~((f|s)))))
1
0
0
0
entailment
~((f>i))
(((~(a)|(s&~(c)))>(f&c))|(((f&c)>i)&f))
1
0
0
0
entailment
(i&~((i>c)))
(((~(a)|(s&~(c)))>(f&c))|(((f&c)>i)&f))
0
0
0
0
not entailment
~((f>i))
((a&f)|(s|(c>~((f|s)))))
0
0
0
0
not entailment
((~(w)>d)&(h&p))
(~((a&~(g)))>(h|h))
1
0
0
0
entailment
~((g>~(~((((g|g)|w)>(p>a))))))
~(a)
1
1
1
1
entailment
((~(w)>d)&(h&p))
~(a)
0
1
0
0
not entailment
~((g>~(~((((g|g)|w)>(p>a))))))
(~((a&~(g)))>(h|h))
0
1
0
0
not entailment
~((h>w))
~(~(((a|h)|a)))
1
0
0
0
entailment
(d&d)
((d|(a>g))|~(((a|((a&w)>g))&a)))
1
0
0
0
entailment
~((h>w))
((d|(a>g))|~(((a|((a&w)>g))&a)))
0
0
0
0
not entailment
(d&d)
~(~(((a|h)|a)))
0
0
0
0
not entailment
(~((((a&(h&g))|(a>a))>g))&((a|a)&p))
~(((w&~(d))&g))
1
1
0
0
entailment
((w&h)&~(d))
(w>(~(h)>~(d)))
1
0
1
0
entailment
(~((((a&(h&g))|(a>a))>g))&((a|a)&p))
(w>(~(h)>~(d)))
0
1
0
0
not entailment
((w&h)&~(d))
~(((w&~(d))&g))
0
0
0
0
not entailment
(~((w|(w&w)))&((g|g)&~(~(h))))
((((~(a)>(p|h))|d)>~((g|p)))>(w&g))
1
0
0
0
entailment
~(((~(a)&w)>g))
(w|(~(h)&(((g>d)>w)|a)))
1
0
0
0
entailment
(~((w|(w&w)))&((g|g)&~(~(h))))
(w|(~(h)&(((g>d)>w)|a)))
0
1
0
0
not entailment
~(((~(a)&w)>g))
((((~(a)>(p|h))|d)>~((g|p)))>(w&g))
0
0
0
0
not entailment
(~((~((d|d))&(h|a)))&(a&p))
((w|(w&h))|a)
1
1
0
0
entailment
~((((p&h)&~((d&g)))|(h>((h|h)>a))))
~(((~(d)>((~(w)>(a>p))&(a|w)))&a))
1
1
0
0
entailment
(~((~((d|d))&(h|a)))&(a&p))
~(((~(d)>((~(w)>(a>p))&(a|w)))&a))
0
0
0
0
not entailment
~((((p&h)&~((d&g)))|(h>((h|h)>a))))
((w|(w&h))|a)
0
1
0
0
not entailment
(h|~((d>(a>a))))
((h>a)>(a&a))
1
1
1
1
entailment
(d&g)
~(((((a>h)|p)>~((p|~(w))))&~(g)))
1
0
0
0
entailment
(h|~((d>(a>a))))
~(((((a>h)|p)>~((p|~(w))))&~(g)))
0
0
0
0
not entailment