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 |
|---|---|---|---|---|---|---|
(~(((m|d)>(s>m)))&s)
|
~(~((~((m|s))|(d&d))))
| 1 | 0 | 1 | 0 |
entailment
|
(((m|m)|s)>m)
|
~(~((~((m|s))|(d&d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((m|d)>(s>m)))&s)
|
(((m|s)>(s|(s>d)))>(~(m)>~(s)))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(s)|(m|m))&(~((m&(d|m)))|(m>d)))
|
(~(s)|~(~(m)))
| 1 | 1 | 1 | 1 |
entailment
|
(d|(s&(s>d)))
|
(((d&m)|(s>s))>((d|m)|(d|((m&s)|s))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(s)|(m|m))&(~((m&(d|m)))|(m>d)))
|
(((d&m)|(s>s))>((d|m)|(d|((m&s)|s))))
| 0 | 1 | 1 | 0 |
not entailment
|
(d|(s&(s>d)))
|
(~(s)|~(~(m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s|((s>m)>(m|(~(d)|(s|m))))))
|
~(~(((m&((m>s)>((m|d)&m)))|((d|s)>d))))
| 1 | 0 | 1 | 0 |
entailment
|
((d&s)|s)
|
((((~(m)&d)>(s>m))|(d|d))&s)
| 1 | 0 | 0 | 0 |
entailment
|
~((s|((s>m)>(m|(~(d)|(s|m))))))
|
((((~(m)&d)>(s>m))|(d|d))&s)
| 0 | 1 | 1 | 0 |
not entailment
|
((d&s)|s)
|
~(~(((m&((m>s)>((m|d)&m)))|((d|s)>d))))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&~(~(m)))&~((s|~(m))))
|
((d&s)>~(s))
| 1 | 1 | 1 | 0 |
entailment
|
((m|s)&(m&s))
|
(s&((d>~(d))>m))
| 1 | 0 | 0 | 0 |
entailment
|
((d&~(~(m)))&~((s|~(m))))
|
(s&((d>~(d))>m))
| 0 | 1 | 1 | 0 |
not entailment
|
((m|s)&(m&s))
|
((d&s)>~(s))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((g&(((g|g)|((g&g)>g))|g))>~(g)))
|
(g|g)
| 1 | 1 | 1 | 1 |
entailment
|
((g&~(g))|~((g|(~(g)>(g|(g&g))))))
|
~((g|g))
| 1 | 1 | 1 | 1 |
entailment
|
~(((g&(((g|g)|((g&g)>g))|g))>~(g)))
|
~((g|g))
| 0 | 1 | 1 | 1 |
not entailment
|
((g&~(g))|~((g|(~(g)>(g|(g&g))))))
|
(g|g)
| 0 | 1 | 1 | 1 |
not entailment
|
(g&(g|g))
|
((~(g)|(g&g))>(g&((g&g)|g)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((g&g)|g))
|
(~((g&g))|~((g>(g>g))))
| 1 | 0 | 1 | 0 |
entailment
|
(g&(g|g))
|
(~((g&g))|~((g>(g>g))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((g&g)|g))
|
((~(g)|(g&g))>(g&((g&g)|g)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((g>g)|g)>((g>g)>~((~(~(g))&g)))))
|
(g&(((g|g)|g)|(((g|g)|g)|(g&g))))
| 1 | 1 | 1 | 1 |
entailment
|
(((g&~(~(g)))&(~(g)>g))>~(g))
|
~(((g&g)|((g>(g&g))&((g>g)&g))))
| 1 | 1 | 1 | 0 |
entailment
|
~((((g>g)|g)>((g>g)>~((~(~(g))&g)))))
|
~(((g&g)|((g>(g&g))&((g>g)&g))))
| 0 | 1 | 1 | 1 |
not entailment
|
(((g&~(~(g)))&(~(g)>g))>~(g))
|
(g&(((g|g)|g)|(((g|g)|g)|(g&g))))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(g)|((~(g)>g)|g))>g)
|
((g|g)&((((g>g)>g)|g)>g))
| 1 | 1 | 1 | 1 |
entailment
|
(((g|g)>g)&~(g))
|
~(((g>(g|g))>g))
| 1 | 1 | 1 | 1 |
entailment
|
((~(g)|((~(g)>g)|g))>g)
|
~(((g>(g|g))>g))
| 0 | 1 | 1 | 1 |
not entailment
|
(((g|g)>g)&~(g))
|
((g|g)&((((g>g)>g)|g)>g))
| 0 | 0 | 1 | 1 |
not entailment
|
(((g&g)>((g|g)|g))>g)
|
((g>g)&(((g&g)&g)|(~(((g|g)>g))|g)))
| 1 | 0 | 1 | 1 |
entailment
|
~(((g>g)&g))
|
(~(g)|~((g|(g>g))))
| 1 | 0 | 1 | 1 |
entailment
|
(((g&g)>((g|g)|g))>g)
|
(~(g)|~((g|(g>g))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((g>g)&g))
|
((g>g)&(((g&g)&g)|(~(((g|g)>g))|g)))
| 0 | 0 | 1 | 1 |
not entailment
|
~((g>((g>(g&g))>~(g))))
|
(g|((g&g)|g))
| 1 | 1 | 1 | 1 |
entailment
|
~(g)
|
~(g)
| 1 | 1 | 1 | 1 |
entailment
|
~((g>((g>(g&g))>~(g))))
|
~(g)
| 0 | 1 | 1 | 1 |
not entailment
|
~(g)
|
(g|((g&g)|g))
| 0 | 0 | 1 | 0 |
not entailment
|
(((((g|g)>g)>g)&(g|(g&g)))|g)
|
((((g&g)|g)|~(~((g&g))))&(g|g))
| 1 | 0 | 1 | 1 |
entailment
|
~(((g|(g&g))|~(~((g&g)))))
|
(g>~((g|~(~(g)))))
| 1 | 1 | 1 | 1 |
entailment
|
(((((g|g)>g)>g)&(g|(g&g)))|g)
|
(g>~((g|~(~(g)))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((g|(g&g))|~(~((g&g)))))
|
((((g&g)|g)|~(~((g&g))))&(g|g))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((~(c)&(~((w>w))>c)))|((x&d)|(w&d)))
|
(c|(d|c))
| 1 | 1 | 1 | 1 |
entailment
|
(((x&(w>x))&c)|x)
|
(w|~((~(x)|~((x&(c>x))))))
| 1 | 0 | 1 | 0 |
entailment
|
(~((~(c)&(~((w>w))>c)))|((x&d)|(w&d)))
|
(w|~((~(x)|~((x&(c>x))))))
| 0 | 1 | 1 | 1 |
not entailment
|
(((x&(w>x))&c)|x)
|
(c|(d|c))
| 0 | 1 | 0 | 0 |
not entailment
|
(x&d)
|
((x|x)|(c&c))
| 1 | 0 | 0 | 0 |
entailment
|
(w|((~(d)&x)&d))
|
(w&((x|(w&(c|(w&x))))|w))
| 1 | 0 | 0 | 0 |
entailment
|
(x&d)
|
(w&((x|(w&(c|(w&x))))|w))
| 0 | 0 | 0 | 0 |
not entailment
|
(w|((~(d)&x)&d))
|
((x|x)|(c&c))
| 0 | 1 | 0 | 0 |
not entailment
|
((w>d)>(c&d))
|
((c>(d&(c|w)))|~((((x|x)>x)>~((c&w)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((x|c)|(x|c))&(x&c))
|
(~((c|x))>c)
| 1 | 1 | 1 | 1 |
entailment
|
((w>d)>(c&d))
|
(~((c|x))>c)
| 0 | 1 | 0 | 0 |
not entailment
|
(((x|c)|(x|c))&(x&c))
|
((c>(d&(c|w)))|~((((x|x)>x)>~((c&w)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(d)&(x&x))
|
(((d&(w|x))&w)>(~(((x>w)|d))|(c|c)))
| 1 | 0 | 0 | 0 |
entailment
|
((d&(x>x))&(~(c)>(d|(c&d))))
|
((d|w)|((d&((d>(x>d))&w))&w))
| 1 | 1 | 0 | 0 |
entailment
|
(~(d)&(x&x))
|
((d|w)|((d&((d>(x>d))&w))&w))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&(x>x))&(~(c)>(d|(c&d))))
|
(((d&(w|x))&w)>(~(((x>w)|d))|(c|c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&d)
|
((~(w)&x)|c)
| 1 | 0 | 0 | 0 |
entailment
|
((w|x)&w)
|
(~((w|(d>x)))|w)
| 1 | 0 | 0 | 0 |
entailment
|
(c&d)
|
(~((w|(d>x)))|w)
| 0 | 0 | 0 | 0 |
not entailment
|
((w|x)&w)
|
((~(w)&x)|c)
| 0 | 0 | 0 | 0 |
not entailment
|
(x&~(~((d|(w&~((~(d)>(x>w))))))))
|
((((w|~(c))&x)&x)>d)
| 1 | 1 | 0 | 0 |
entailment
|
~(((x&d)|((((x&c)&(~(c)&w))>~(w))>w)))
|
~((((((x&d)&d)&w)&d)&d))
| 1 | 1 | 1 | 1 |
entailment
|
(x&~(~((d|(w&~((~(d)>(x>w))))))))
|
~((((((x&d)&d)&w)&d)&d))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((x&d)|((((x&c)&(~(c)&w))>~(w))>w)))
|
((((w|~(c))&x)&x)>d)
| 0 | 1 | 1 | 0 |
not entailment
|
(c&d)
|
(((((w>w)|((w|(w&d))&c))>(x>d))|~(w))>c)
| 1 | 0 | 0 | 0 |
entailment
|
((w>(~(~(d))&c))&~(((d&c)|x)))
|
((~(d)|~((d&(d>x))))|~((d&((w&c)&d))))
| 1 | 0 | 1 | 1 |
entailment
|
(c&d)
|
((~(d)|~((d&(d>x))))|~((d&((w&c)&d))))
| 0 | 0 | 0 | 0 |
not entailment
|
((w>(~(~(d))&c))&~(((d&c)|x)))
|
(((((w>w)|((w|(w&d))&c))>(x>d))|~(w))>c)
| 0 | 0 | 1 | 0 |
not entailment
|
((d&(x>c))&((w|(~(w)&d))&(d|(x|d))))
|
(~(~(~(~(~(x)))))>d)
| 1 | 1 | 1 | 1 |
entailment
|
~((((d&(d>~(~(x))))&(w|d))&c))
|
(((x|~(c))&w)>~(((d&d)&(c&w))))
| 1 | 1 | 1 | 0 |
entailment
|
((d&(x>c))&((w|(~(w)&d))&(d|(x|d))))
|
(((x|~(c))&w)>~(((d&d)&(c&w))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((d&(d>~(~(x))))&(w|d))&c))
|
(~(~(~(~(~(x)))))>d)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((w>(~(((c>x)&w))|d))|(w&~(x))))
|
~(~((x|c)))
| 1 | 1 | 1 | 0 |
entailment
|
(~((w&c))&((w|w)>(d|c)))
|
~((((c&d)|w)&(~(d)&(c|w))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((w>(~(((c>x)&w))|d))|(w&~(x))))
|
~((((c&d)|w)&(~(d)&(c|w))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((w&c))&((w|w)>(d|c)))
|
~(~((x|c)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((w|c))
|
(~((c>~(((w>w)|(((c|x)|d)>d)))))>x)
| 1 | 0 | 0 | 0 |
entailment
|
(~((d|(c&~(~(w)))))&((w|c)&c))
|
(((x&w)&(c>~(x)))|c)
| 1 | 1 | 0 | 0 |
entailment
|
~((w|c))
|
(((x&w)&(c>~(x)))|c)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((d|(c&~(~(w)))))&((w|c)&c))
|
(~((c>~(((w>w)|(((c|x)|d)>d)))))>x)
| 0 | 0 | 0 | 0 |
not entailment
|
(((((c|d)&~(c))>(d|(x&d)))&x)&((w|c)|x))
|
~(((~(c)|x)&~((w|x))))
| 1 | 1 | 1 | 0 |
entailment
|
~((~((~((w|c))&c))>x))
|
(x>c)
| 1 | 1 | 1 | 1 |
entailment
|
(((((c|d)&~(c))>(d|(x&d)))&x)&((w|c)|x))
|
(x>c)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((~((w|c))&c))>x))
|
~(((~(c)|x)&~((w|x))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((~(~(~(x)))|x)|~(~((c>x)))))|x)
|
(((w>c)>x)|c)
| 1 | 1 | 0 | 0 |
entailment
|
~((((c>d)&d)>(x|x)))
|
(d>(~(x)|(c|w)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((~(~(~(x)))|x)|~(~((c>x)))))|x)
|
(d>(~(x)|(c|w)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((c>d)&d)>(x|x)))
|
(((w>c)>x)|c)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&c)
|
(x>c)
| 1 | 1 | 0 | 0 |
entailment
|
~((x>~(d)))
|
(((x&d)|w)|~(((x|x)&~((x&d)))))
| 1 | 0 | 0 | 0 |
entailment
|
(c&c)
|
(((x&d)|w)|~(((x|x)&~((x&d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((x>~(d)))
|
(x>c)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&((x|x)>w))
|
((d>c)|w)
| 1 | 1 | 0 | 0 |
entailment
|
(~(c)&(d|~((w&(w&w)))))
|
(((d>x)>d)|(x>(w>d)))
| 1 | 1 | 0 | 0 |
entailment
|
(c&((x|x)>w))
|
(((d>x)>d)|(x>(w>d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(c)&(d|~((w&(w&w)))))
|
((d>c)|w)
| 0 | 1 | 1 | 0 |
not entailment
|
((x|~(~(w)))&(w&d))
|
(~(~(d))|(c|c))
| 1 | 1 | 0 | 0 |
entailment
|
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