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 |
|---|---|---|---|---|---|---|
((x&~(h))&(((n|(y&b))|b)>e))
|
(x&(~((x&((y>~(h))|e)))>~(e)))
| 1 | 0 | 1 | 0 |
entailment
|
((~(h)&(b&y))&(~((d>h))&((h|y)>~(h))))
|
(x&(~((x&((y>~(h))|e)))>~(e)))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&~(h))&(((n|(y&b))|b)>e))
|
((x>(d|h))|b)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((b&x)>(~(b)|~((y|n)))))
|
(d|b)
| 1 | 1 | 0 | 0 |
entailment
|
(~(n)&~((d|h)))
|
(d>e)
| 1 | 1 | 0 | 0 |
entailment
|
~(((b&x)>(~(b)|~((y|n)))))
|
(d>e)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(n)&~((d|h)))
|
(d|b)
| 0 | 1 | 0 | 0 |
not entailment
|
((((t|r)&u)|a)&(~(n)&(v>a)))
|
~((((y>~(v))|(n&~(v)))&(~(i)&n)))
| 1 | 0 | 0 | 0 |
entailment
|
(a&(~(r)&u))
|
((u|~(i))|(x&g))
| 1 | 0 | 0 | 0 |
entailment
|
((((t|r)&u)|a)&(~(n)&(v>a)))
|
((u|~(i))|(x&g))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(~(r)&u))
|
~((((y>~(v))|(n&~(v)))&(~(i)&n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((g|u)&~(i))&(y|(u|i)))))
|
((((i|y)>i)&(v|~((a|r))))>((y&g)>(u|x)))
| 1 | 0 | 0 | 0 |
entailment
|
((r>y)&a)
|
(~(t)>(a|a))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((((g|u)&~(i))&(y|(u|i)))))
|
(~(t)>(a|a))
| 0 | 1 | 0 | 0 |
not entailment
|
((r>y)&a)
|
((((i|y)>i)&(v|~((a|r))))>((y&g)>(u|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&i)
|
(((v&((v>n)|y))>~((n>y)))|i)
| 1 | 0 | 0 | 0 |
entailment
|
(~(t)&v)
|
((t&(i&u))>(r|~(g)))
| 1 | 0 | 0 | 0 |
entailment
|
(n&i)
|
((t&(i&u))>(r|~(g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(t)&v)
|
(((v&((v>n)|y))>~((n>y)))|i)
| 0 | 0 | 0 | 0 |
not entailment
|
((((v&x)|v)|(y>n))&i)
|
((((r>v)>(~(i)>a))|y)|((r|a)|y))
| 1 | 0 | 0 | 0 |
entailment
|
(g|(((g>~(a))>n)&g))
|
((g|a)|(g|u))
| 1 | 1 | 0 | 0 |
entailment
|
((((v&x)|v)|(y>n))&i)
|
((g|a)|(g|u))
| 0 | 1 | 0 | 0 |
not entailment
|
(g|(((g>~(a))>n)&g))
|
((((r>v)>(~(i)>a))|y)|((r|a)|y))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((~(a)|(~(x)>(i>~(r)))))))
|
(~(((((x>i)&a)>x)|~(r)))|(t&~(u)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((a|y)|u)>(i|((g&n)|(i|n)))))
|
(i>(g|y))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~((~(a)|(~(x)>(i>~(r)))))))
|
(i>(g|y))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((a|y)|u)>(i|((g&n)|(i|n)))))
|
(~(((((x>i)&a)>x)|~(r)))|(t&~(u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a|t)>(v>i))&~((~(t)|y)))
|
(~(((u|~(r))>t))|(~(u)|~(y)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(n)>n)|(n&~(n)))
|
((~((n&n))&(r>(~(v)|i)))>u)
| 1 | 0 | 0 | 0 |
entailment
|
(((a|t)>(v>i))&~((~(t)|y)))
|
((~((n&n))&(r>(~(v)|i)))>u)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(n)>n)|(n&~(n)))
|
(~(((u|~(r))>t))|(~(u)|~(y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((x|n))&t)
|
(((x|n)>(t|n))|y)
| 1 | 0 | 0 | 0 |
entailment
|
((((u|t)&(v|n))&((i&(i>a))&x))|(v&t))
|
(v|(y>n))
| 1 | 1 | 0 | 0 |
entailment
|
(~((x|n))&t)
|
(v|(y>n))
| 0 | 1 | 0 | 0 |
not entailment
|
((((u|t)&(v|n))&((i&(i>a))&x))|(v&t))
|
(((x|n)>(t|n))|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(((~(v)>t)&(x&i))))&(n&(x|n)))
|
((u>(n&(n&(t|u))))&n)
| 1 | 1 | 0 | 0 |
entailment
|
(r&(a>u))
|
~(((x>~(r))&((~((r|g))&((u>x)&u))&t)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(((~(v)>t)&(x&i))))&(n&(x|n)))
|
~(((x>~(r))&((~((r|g))&((u>x)&u))&t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&(a>u))
|
((u>(n&(n&(t|u))))&n)
| 0 | 0 | 0 | 0 |
not entailment
|
((v|(u|~(g)))&g)
|
(u|g)
| 1 | 1 | 1 | 1 |
entailment
|
(((i&x)|((y&r)>(~(v)>i)))>i)
|
(((r|g)|(x&(t|u)))>(r|(a|i)))
| 1 | 1 | 0 | 0 |
entailment
|
((v|(u|~(g)))&g)
|
(((r|g)|(x&(t|u)))>(r|(a|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((i&x)|((y&r)>(~(v)>i)))>i)
|
(u|g)
| 0 | 1 | 0 | 0 |
not entailment
|
((v>n)&n)
|
(((g|v)|u)|(y|(n|((i&t)|(x|i)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((a|y)|t))|~((t&(a|r))))
|
~(((r&(x&t))&x))
| 1 | 1 | 0 | 0 |
entailment
|
((v>n)&n)
|
~(((r&(x&t))&x))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((a|y)|t))|~((t&(a|r))))
|
(((g|v)|u)|(y|(n|((i&t)|(x|i)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(v)&(x|n))
|
~(v)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(~(((y&g)&((y|g)&n))))))
|
((~(i)>n)&(v>n))
| 1 | 1 | 0 | 0 |
entailment
|
(~(v)&(x|n))
|
((~(i)>n)&(v>n))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~(((y&g)&((y|g)&n))))))
|
~(v)
| 0 | 1 | 0 | 0 |
not entailment
|
(n|~(((i&((v|i)|(v&(u>u))))|r)))
|
~(~((~((v&(a&v)))>(n|(((i&r)&v)>x)))))
| 1 | 0 | 0 | 0 |
entailment
|
((((a|(t&x))|r)>g)&~(((u>n)|(~(n)>y))))
|
(u|~(((g&t)>~((u&g)))))
| 1 | 1 | 1 | 0 |
entailment
|
(n|~(((i&((v|i)|(v&(u>u))))|r)))
|
(u|~(((g&t)>~((u&g)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((((a|(t&x))|r)>g)&~(((u>n)|(~(n)>y))))
|
~(~((~((v&(a&v)))>(n|(((i&r)&v)>x)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((r>((x&(u>i))&v))&~(~(n)))&(u&(n>v)))
|
(((y|(u&(r&a)))|((n|u)|(((n|a)>t)|x)))|u)
| 1 | 1 | 0 | 0 |
entailment
|
(((~(n)|(i>(i>v)))&~(((r|g)>i)))&r)
|
~((~(~(((i&(i>x))&n)))&(n>r)))
| 1 | 1 | 0 | 0 |
entailment
|
(((r>((x&(u>i))&v))&~(~(n)))&(u&(n>v)))
|
~((~(~(((i&(i>x))&n)))&(n>r)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(n)|(i>(i>v)))&~(((r|g)>i)))&r)
|
(((y|(u&(r&a)))|((n|u)|(((n|a)>t)|x)))|u)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((n>~(y)))&~(x))
|
((~(~(n))&x)>t)
| 1 | 1 | 0 | 0 |
entailment
|
(~((v>~(~(((a>~(u))|(g&x))))))&(x|u))
|
~(~(v))
| 1 | 1 | 1 | 1 |
entailment
|
(~((n>~(y)))&~(x))
|
~(~(v))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((v>~(~(((a>~(u))|(g&x))))))&(x|u))
|
((~(~(n))&x)>t)
| 0 | 1 | 0 | 0 |
not entailment
|
~((y|(t>(x|r))))
|
(x>(n|u))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((g|(x|t))&t))&r)
|
(((((n|u)&(g&u))&~(t))&x)|(r|(~(a)|y)))
| 1 | 0 | 0 | 0 |
entailment
|
~((y|(t>(x|r))))
|
(((((n|u)&(g&u))&~(t))&x)|(r|(~(a)|y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((g|(x|t))&t))&r)
|
(x>(n|u))
| 0 | 1 | 0 | 0 |
not entailment
|
((n|v)&((a&r)&(y&a)))
|
((a|~(i))|(x>y))
| 1 | 1 | 0 | 0 |
entailment
|
((x&n)&(u>(x&y)))
|
(((u&i)&i)>n)
| 1 | 1 | 0 | 0 |
entailment
|
((n|v)&((a&r)&(y&a)))
|
(((u&i)&i)>n)
| 0 | 1 | 0 | 0 |
not entailment
|
((x&n)&(u>(x&y)))
|
((a|~(i))|(x>y))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&(u>g))
|
((~(n)|a)|(~(a)>g))
| 1 | 0 | 0 | 0 |
entailment
|
(((r|v)|(t&(u>x)))&~((t>a)))
|
~((i&((i&i)&a)))
| 1 | 1 | 0 | 0 |
entailment
|
(g&(u>g))
|
~((i&((i&i)&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((r|v)|(t&(u>x)))&~((t>a)))
|
((~(n)|a)|(~(a)>g))
| 0 | 1 | 0 | 0 |
not entailment
|
(w|w)
|
((w&~((w&w)))|(w|((w>w)>w)))
| 1 | 0 | 1 | 0 |
entailment
|
((w&(w|w))>(w>~((w&w))))
|
~((((((((w>w)|w)&w)&w)>w)|(w|w))>w))
| 1 | 0 | 1 | 0 |
entailment
|
(w|w)
|
~((((((((w>w)|w)&w)&w)>w)|(w|w))>w))
| 0 | 0 | 1 | 0 |
not entailment
|
((w&(w|w))>(w>~((w&w))))
|
((w&~((w&w)))|(w|((w>w)>w)))
| 0 | 0 | 1 | 0 |
not entailment
|
((w&(w>(w>w)))|~((w>w)))
|
(w&w)
| 1 | 1 | 1 | 1 |
entailment
|
~(w)
|
(~(w)|~(w))
| 1 | 0 | 1 | 1 |
entailment
|
((w&(w>(w>w)))|~((w>w)))
|
(~(w)|~(w))
| 0 | 1 | 1 | 1 |
not entailment
|
~(w)
|
(w&w)
| 0 | 1 | 1 | 0 |
not entailment
|
(((w&w)|~((((w>(w&(w>w)))>w)>w)))&w)
|
(w|w)
| 1 | 1 | 1 | 1 |
entailment
|
~(w)
|
~((w&((w&~((w>w)))>w)))
| 1 | 0 | 1 | 0 |
entailment
|
(((w&w)|~((((w>(w&(w>w)))>w)>w)))&w)
|
~((w&((w&~((w>w)))>w)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(w)
|
(w|w)
| 0 | 1 | 1 | 0 |
not entailment
|
((w|w)&w)
|
(((w>w)&w)&(w|w))
| 1 | 0 | 1 | 0 |
entailment
|
((w&w)>~((w>(w|w))))
|
~(w)
| 1 | 1 | 1 | 1 |
entailment
|
((w|w)&w)
|
~(w)
| 0 | 1 | 1 | 0 |
not entailment
|
((w&w)>~((w>(w|w))))
|
(((w>w)&w)&(w|w))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~((w|w)))
|
((w&w)&w)
| 1 | 1 | 1 | 1 |
entailment
|
~(((w>w)>w))
|
~((w|w))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((w|w)))
|
~((w|w))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((w>w)>w))
|
((w&w)&w)
| 0 | 1 | 1 | 1 |
not entailment
|
(w&w)
|
((w|w)&((w|w)>(~(w)|w)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((w|(w&(w&w)))|(w&((w&w)&((w>w)>w)))))
|
~(((((w>w)&(w&((w&w)>w)))&(~(w)|w))|w))
| 1 | 1 | 1 | 1 |
entailment
|
(w&w)
|
~(((((w>w)&(w&((w&w)>w)))&(~(w)|w))|w))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((w|(w&(w&w)))|(w&((w&w)&((w>w)>w)))))
|
((w|w)&((w|w)>(~(w)|w)))
| 0 | 1 | 1 | 1 |
not entailment
|
(w&(~(~(w))|(w|~((w&w)))))
|
(w|w)
| 1 | 1 | 1 | 1 |
entailment
|
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