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
|
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