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 |
---|---|---|---|---|---|---|
~((s|~(((((~((s|b))|s)|g)|v)|b))))
|
(~(s)>~((g>b)))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~(g))&((s&(s>p))&(v&(v&b))))
|
(((v>b)>g)>(b>p))
| 1 | 1 | 1 | 0 |
entailment
|
~((((s|~(v))|v)>(v|s)))
|
(g>(~(s)|~((b|v))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(g))&((s&(s>p))&(v&(v&b))))
|
(g>(~(s)|~((b|v))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((s|~(v))|v)>(v|s)))
|
(((v>b)>g)>(b>p))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((s|(g|(p>s)))>((s&(~(v)>p))&p))))
|
(~((s>(~((p|s))|p)))>~((s&~((s>b)))))
| 1 | 1 | 0 | 0 |
entailment
|
~((((b|b)|b)|v))
|
~(((v>s)>b))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((s|(g|(p>s)))>((s&(~(v)>p))&p))))
|
~(((v>s)>b))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((b|b)|b)|v))
|
(~((s>(~((p|s))|p)))>~((s&~((s>b)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((g|p)|g)>p)&v)
|
(((p|g)>~(v))|p)
| 1 | 1 | 1 | 0 |
entailment
|
(s&~(~(s)))
|
((b>g)>((s|g)&(p>s)))
| 1 | 0 | 0 | 0 |
entailment
|
((((g|p)|g)>p)&v)
|
((b>g)>((s|g)&(p>s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&~(~(s)))
|
(((p|g)>~(v))|p)
| 0 | 0 | 0 | 0 |
not entailment
|
((p&v)&b)
|
(~(~(~((g&~(v)))))>(v>b))
| 1 | 0 | 0 | 0 |
entailment
|
~((((g&g)&((((s>b)|(s>p))|g)>s))>(g>b)))
|
((s>(~(g)>~(~((p>((~(s)|p)&g))))))|g)
| 1 | 1 | 1 | 0 |
entailment
|
((p&v)&b)
|
((s>(~(g)>~(~((p>((~(s)|p)&g))))))|g)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((g&g)&((((s>b)|(s>p))|g)>s))>(g>b)))
|
(~(~(~((g&~(v)))))>(v>b))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((s|(g>~((s>b)))))))
|
((g|v)|(v&b))
| 1 | 1 | 0 | 0 |
entailment
|
~((s>(b&b)))
|
(((~(((v&g)>s))&g)>~((g&v)))|p)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((s|(g>~((s>b)))))))
|
(((~(((v&g)>s))&g)>~((g&v)))|p)
| 0 | 0 | 0 | 0 |
not entailment
|
~((s>(b&b)))
|
((g|v)|(v&b))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(c>(z>z)))
|
(d|~((~(w)&(z|((c&c)>z)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(w)&c)
|
((c|(~(((z>~(z))|d))|w))|(z|w))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(c>(z>z)))
|
((c|(~(((z>~(z))|d))|w))|(z|w))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(w)&c)
|
(d|~((~(w)&(z|((c&c)>z)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((w|d)&d))
|
(d>~(~((z|(c>z)))))
| 1 | 0 | 0 | 0 |
entailment
|
((z>(z&w))&(~((d&z))>~(w)))
|
((w|(w|d))|(((c&c)>(z|c))&~(z)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((w|d)&d))
|
((w|(w|d))|(((c&c)>(z|c))&~(z)))
| 0 | 0 | 0 | 0 |
not entailment
|
((z>(z&w))&(~((d&z))>~(w)))
|
(d>~(~((z|(c>z)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((d>(((((w&z)&w)|c)>c)&c)))
|
(~(c)&(d&~(c)))
| 1 | 1 | 1 | 1 |
entailment
|
(c&~(((c&w)&w)))
|
(((w|w)|((z>d)>c))>c)
| 1 | 0 | 0 | 0 |
entailment
|
~((d>(((((w&z)&w)|c)>c)&c)))
|
(((w|w)|((z>d)>c))>c)
| 0 | 1 | 1 | 0 |
not entailment
|
(c&~(((c&w)&w)))
|
(~(c)&(d&~(c)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((~(z)>d))&(d>c))>(z|(c&d))))
|
((z>c)>(z>w))
| 1 | 1 | 0 | 0 |
entailment
|
(d|((c&w)&z))
|
((~((z|~(c)))&(w>(c|c)))|(w|d))
| 1 | 0 | 1 | 0 |
entailment
|
~(((~((~(z)>d))&(d>c))>(z|(c&d))))
|
((~((z|~(c)))&(w>(c|c)))|(w|d))
| 0 | 1 | 0 | 0 |
not entailment
|
(d|((c&w)&z))
|
((z>c)>(z>w))
| 0 | 1 | 1 | 0 |
not entailment
|
(((w>w)&z)&w)
|
(~(((w>d)>(~(~((z&d)))|d)))>(d|w))
| 1 | 0 | 0 | 0 |
entailment
|
(c|c)
|
(c|~(~(c)))
| 1 | 0 | 1 | 1 |
entailment
|
(((w>w)&z)&w)
|
(c|~(~(c)))
| 0 | 1 | 0 | 0 |
not entailment
|
(c|c)
|
(~(((w>d)>(~(~((z&d)))|d)))>(d|w))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((w&((c>w)&(w&z))))&w)
|
((z>w)|~((d>(d>c))))
| 1 | 1 | 0 | 0 |
entailment
|
~((((~(((z|w)>~(d)))>c)&(z|z))>d))
|
(((c&z)|(w>w))&(d|z))
| 1 | 1 | 1 | 0 |
entailment
|
(~((w&((c>w)&(w&z))))&w)
|
(((c&z)|(w>w))&(d|z))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((~(((z|w)>~(d)))>c)&(z|z))>d))
|
((z>w)|~((d>(d>c))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((((w&z)&~(w))&d)|(z&d))))
|
((((w>w)&d)&(z|z))|((~(d)&(z>w))>(w&c)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((w&d)))|c))
|
(c>(z>~(z)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((((w&z)&~(w))&d)|(z&d))))
|
(c>(z>~(z)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((w&d)))|c))
|
((((w>w)&d)&(z|z))|((~(d)&(z>w))>(w&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((c>z)>(c|z)))&(~((z>(z&(c>w))))|d))
|
~(((c&(d|c))|(d>(c&z))))
| 1 | 1 | 1 | 0 |
entailment
|
(z&w)
|
((z>((z>z)|w))>w)
| 1 | 0 | 1 | 0 |
entailment
|
(~(((c>z)>(c|z)))&(~((z>(z&(c>w))))|d))
|
((z>((z>z)|w))>w)
| 0 | 1 | 1 | 0 |
not entailment
|
(z&w)
|
~(((c&(d|c))|(d>(c&z))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((w|w)>(w>z)))&((c>~(d))&d))
|
~(((c&d)|c))
| 1 | 1 | 1 | 1 |
entailment
|
(w&((z>z)&c))
|
((~((~((z&d))>c))&(z|(d&~(w))))|c)
| 1 | 0 | 0 | 0 |
entailment
|
(~(((w|w)>(w>z)))&((c>~(d))&d))
|
((~((~((z&d))>c))&(z|(d&~(w))))|c)
| 0 | 0 | 1 | 0 |
not entailment
|
(w&((z>z)&c))
|
~(((c&d)|c))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((c>((w&c)>(c>~(w))))))&((z>w)&d))
|
((c&(~(d)&z))|((d|~(d))>~(~(d))))
| 1 | 1 | 1 | 0 |
entailment
|
~(((c&((c|w)&d))|(w|z)))
|
~(((w>~(c))&z))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~((c>((w&c)>(c>~(w))))))&((z>w)&d))
|
~(((w>~(c))&z))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((c&((c|w)&d))|(w|z)))
|
((c&(~(d)&z))|((d|~(d))>~(~(d))))
| 0 | 0 | 1 | 0 |
not entailment
|
((w>~(z))>(((c|z)|d)&(d&(z&c))))
|
(c|(d|w))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~((z|z))))
|
(~((z>d))>~((d|(d>(d&(d&w))))))
| 1 | 0 | 0 | 0 |
entailment
|
((w>~(z))>(((c|z)|d)&(d&(z&c))))
|
(~((z>d))>~((d|(d>(d&(d&w))))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~((z|z))))
|
(c|(d|w))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((d&w)|(z&w))>(~(z)&w)))
|
(((d>d)>((z&(d&z))|w))&(d|(z>z)))
| 1 | 0 | 1 | 0 |
entailment
|
(c&(d|~(w)))
|
((c&d)|~(d))
| 1 | 1 | 1 | 0 |
entailment
|
~((((d&w)|(z&w))>(~(z)&w)))
|
((c&d)|~(d))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&(d|~(w)))
|
(((d>d)>((z&(d&z))|w))&(d|(z>z)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((d>(z>(z|d))))|(~(w)|~(d))))
|
(w>d)
| 1 | 1 | 1 | 0 |
entailment
|
(c&((w>(c|c))>w))
|
(d>c)
| 1 | 1 | 0 | 0 |
entailment
|
~((~((d>(z>(z|d))))|(~(w)|~(d))))
|
(d>c)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&((w>(c|c))>w))
|
(w>d)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(d)|(~(z)|w))
|
(((z&z)&(d&c))>w)
| 1 | 1 | 0 | 0 |
entailment
|
(d&(z|(z|w)))
|
((((w>(d&(z>c)))>((c&c)&c))|d)|~(z))
| 1 | 0 | 0 | 0 |
entailment
|
(~(d)|(~(z)|w))
|
((((w>(d&(z>c)))>((c&c)&c))|d)|~(z))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&(z|(z|w)))
|
(((z&z)&(d&c))>w)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((w|w)|(d|w))>~(~((~(w)>z)))))
|
~(w)
| 1 | 1 | 1 | 1 |
entailment
|
((w>(w|c))>z)
|
(((c>d)|(~(w)&((z&c)>c)))>~(~(z)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((w|w)|(d|w))>~(~((~(w)>z)))))
|
(((c>d)|(~(w)&((z&c)>c)))>~(~(z)))
| 0 | 1 | 0 | 0 |
not entailment
|
((w>(w|c))>z)
|
~(w)
| 0 | 1 | 1 | 1 |
not entailment
|
((c>c)&d)
|
((z>d)|~(((z&c)>d)))
| 1 | 0 | 0 | 0 |
entailment
|
(((w&c)|(z>(c|(c&z))))>~((z>(z>c))))
|
(z|z)
| 1 | 1 | 1 | 1 |
entailment
|
((c>c)&d)
|
(z|z)
| 0 | 1 | 0 | 0 |
not entailment
|
(((w&c)|(z>(c|(c&z))))>~((z>(z>c))))
|
((z>d)|~(((z&c)>d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((u&u)&u)&u)
|
((u|~(u))>u)
| 1 | 1 | 1 | 0 |
entailment
|
~((u|(u&u)))
|
((u>~((u&u)))&(((u|~(u))&(u>~(u)))|u))
| 1 | 0 | 1 | 0 |
entailment
|
(((u&u)&u)&u)
|
((u>~((u&u)))&(((u|~(u))&(u>~(u)))|u))
| 0 | 0 | 1 | 0 |
not entailment
|
~((u|(u&u)))
|
((u|~(u))>u)
| 0 | 1 | 1 | 0 |
not entailment
|
(u|((u>u)&u))
|
(~(~(u))|~((u|~(u))))
| 1 | 0 | 1 | 1 |
entailment
|
~(u)
|
~(~(~(((~(u)>u)&(u|u)))))
| 1 | 0 | 1 | 1 |
entailment
|
(u|((u>u)&u))
|
~(~(~(((~(u)>u)&(u|u)))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(u)
|
(~(~(u))|~((u|~(u))))
| 0 | 0 | 1 | 0 |
not entailment
|
(u|u)
|
((u&u)&u)
| 1 | 0 | 1 | 1 |
entailment
|
(~((u&u))&(u|(u>u)))
|
~(~(~((((u>u)&(u>u))&~(~(u))))))
| 1 | 0 | 1 | 1 |
entailment
|
(u|u)
|
~(~(~((((u>u)&(u>u))&~(~(u))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((u&u))&(u|(u>u)))
|
((u&u)&u)
| 0 | 1 | 1 | 1 |
not entailment
|
((((u&u)&u)>(u|u))>~(~((u&(u&u)))))
|
((u|u)|((u>u)&(u|(u|u))))
| 1 | 1 | 1 | 1 |
entailment
|
~((u&~(~(u))))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
((((u&u)&u)>(u|u))>~(~((u&(u&u)))))
|
~(u)
| 0 | 1 | 1 | 1 |
not entailment
|
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