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 |
|---|---|---|---|---|---|---|
(((c|f)>~(w))&(f|c))
|
((~(((f|w)>(w|w)))&((f>c)&f))|w)
| 0 | 0 | 1 | 0 |
not entailment
|
((c&w)&((c|(c&w))&(f>w)))
|
~(((w&(f&f))&((c&f)>~(~((f&w))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((d&e)|s)&s)
|
((z>j)>((((d|d)&j)>s)>s))
| 1 | 0 | 0 | 0 |
entailment
|
(e&(((~(e)|z)|o)&(o>z)))
|
(z|((e&(e&~(z)))&j))
| 1 | 1 | 0 | 0 |
entailment
|
(((d&e)|s)&s)
|
(z|((e&(e&~(z)))&j))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&(((~(e)|z)|o)&(o>z)))
|
((z>j)>((((d|d)&j)>s)>s))
| 0 | 1 | 0 | 0 |
not entailment
|
((w>v)&((d|((d|~((z&w)))|d))&(j&e)))
|
(z>(d|j))
| 1 | 1 | 1 | 1 |
entailment
|
(s&~(~(z)))
|
(~(o)|s)
| 1 | 1 | 0 | 0 |
entailment
|
((w>v)&((d|((d|~((z&w)))|d))&(j&e)))
|
(~(o)|s)
| 0 | 1 | 0 | 0 |
not entailment
|
(s&~(~(z)))
|
(z>(d|j))
| 0 | 1 | 0 | 0 |
not entailment
|
((o|(w&s))&~(((~((v>z))|j)>s)))
|
((w>w)&(v|o))
| 1 | 1 | 1 | 0 |
entailment
|
((d&e)&j)
|
~(~((e|s)))
| 1 | 0 | 0 | 0 |
entailment
|
((o|(w&s))&~(((~((v>z))|j)>s)))
|
~(~((e|s)))
| 0 | 1 | 0 | 0 |
not entailment
|
((d&e)&j)
|
((w>w)&(v|o))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((j|w)|~(((e|(o&s))>z)))|(z&s)))
|
(~(((w>d)|s))>o)
| 1 | 1 | 0 | 0 |
entailment
|
~(e)
|
(d|~(e))
| 1 | 0 | 0 | 0 |
entailment
|
~((((j|w)|~(((e|(o&s))>z)))|(z&s)))
|
(d|~(e))
| 0 | 1 | 0 | 0 |
not entailment
|
~(e)
|
(~(((w>d)|s))>o)
| 0 | 0 | 0 | 0 |
not entailment
|
((((s&w)|(w>v))&s)&(w&(o&s)))
|
(~(~((~(v)&(v|e))))|((z|(o>(j|j)))|w))
| 1 | 0 | 0 | 0 |
entailment
|
((v>w)&((v>z)&d))
|
(d|(o>((v|w)>(z&d))))
| 1 | 0 | 0 | 0 |
entailment
|
((((s&w)|(w>v))&s)&(w&(o&s)))
|
(d|(o>((v|w)>(z&d))))
| 0 | 1 | 0 | 0 |
not entailment
|
((v>w)&((v>z)&d))
|
(~(~((~(v)&(v|e))))|((z|(o>(j|j)))|w))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((d&d)|v))|(z&((d|o)&v)))
|
((~(((s&v)>d))&e)>o)
| 1 | 1 | 0 | 0 |
entailment
|
((j>((o&d)&(~((z|w))|v)))&(v&z))
|
(~((~(((w|w)>(v>j)))|z))>(w&~(v)))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((d&d)|v))|(z&((d|o)&v)))
|
(~((~(((w|w)>(v>j)))|z))>(w&~(v)))
| 0 | 0 | 0 | 0 |
not entailment
|
((j>((o&d)&(~((z|w))|v)))&(v&z))
|
((~(((s&v)>d))&e)>o)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(v&(d&e)))
|
(s>(j>v))
| 1 | 1 | 0 | 0 |
entailment
|
((e>o)&j)
|
~(~((((s>~(d))>w)|(~(~(j))|(z&z)))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(v&(d&e)))
|
~(~((((s>~(d))>w)|(~(~(j))|(z&z)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((e>o)&j)
|
(s>(j>v))
| 0 | 1 | 0 | 0 |
not entailment
|
~((s|~((o&v))))
|
(((v|s)&~((d|w)))|~((s|~(o))))
| 1 | 0 | 0 | 0 |
entailment
|
(z&s)
|
(z|(j>w))
| 1 | 0 | 0 | 0 |
entailment
|
~((s|~((o&v))))
|
(z|(j>w))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&s)
|
(((v|s)&~((d|w)))|~((s|~(o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((w>(d|v))|(o>e)))
|
(((s>(w|~(d)))|~(s))|o)
| 1 | 0 | 0 | 0 |
entailment
|
(v&~(((e&z)&(v&~(~(w))))))
|
(v|v)
| 1 | 1 | 1 | 1 |
entailment
|
~(((w>(d|v))|(o>e)))
|
(v|v)
| 0 | 1 | 1 | 0 |
not entailment
|
(v&~(((e&z)&(v&~(~(w))))))
|
(((s>(w|~(d)))|~(s))|o)
| 0 | 1 | 0 | 0 |
not entailment
|
((w>j)&((w&z)&d))
|
~(~(((o>v)|d)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((~((v&(j>j)))|(s>d))>(~(w)&z))>v))
|
((((o>w)&(d>e))&(v|w))>(z>o))
| 1 | 1 | 0 | 0 |
entailment
|
((w>j)&((w&z)&d))
|
((((o>w)&(d>e))&(v|w))>(z>o))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~((v&(j>j)))|(s>d))>(~(w)&z))>v))
|
~(~(((o>v)|d)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d&o)>(~(j)>s)))
|
(~(((e>~((j>j)))>s))|~(~((s|o))))
| 1 | 0 | 0 | 0 |
entailment
|
(w&(~((~(j)&((d>j)>(o>z))))>(s|z)))
|
(w|~(((j|s)>(e&w))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((d&o)>(~(j)>s)))
|
(w|~(((j|s)>(e&w))))
| 0 | 1 | 0 | 0 |
not entailment
|
(w&(~((~(j)&((d>j)>(o>z))))>(s|z)))
|
(~(((e>~((j>j)))>s))|~(~((s|o))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(j)>o)&w)&(((z>~(j))&e)>o))
|
(((e>w)|(~(s)&j))|(~(j)|~(v)))
| 1 | 1 | 0 | 0 |
entailment
|
(((w&z)>j)&(d|~(o)))
|
(~(~(((d|(e&o))&j)))>(((d&d)|w)&d))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(j)>o)&w)&(((z>~(j))&e)>o))
|
(~(~(((d|(e&o))&j)))>(((d&d)|w)&d))
| 0 | 0 | 0 | 0 |
not entailment
|
(((w&z)>j)&(d|~(o)))
|
(((e>w)|(~(s)&j))|(~(j)|~(v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((w>j)|(~(o)&z))&j)|(e&w)))
|
(v|((((j&s)&j)|((v|s)&(s>j)))>z))
| 1 | 1 | 0 | 0 |
entailment
|
(s&((w>(e>e))&((z&w)|d)))
|
(e>(v>s))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((w>j)|(~(o)&z))&j)|(e&w)))
|
(e>(v>s))
| 0 | 1 | 0 | 0 |
not entailment
|
(s&((w>(e>e))&((z&w)|d)))
|
(v|((((j&s)&j)|((v|s)&(s>j)))>z))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&j)
|
((((s&o)|s)|((s&o)>(o&((w>(j>j))&d))))&j)
| 1 | 0 | 0 | 0 |
entailment
|
(((d|(d&d))&d)&w)
|
(z|(s|d))
| 1 | 1 | 0 | 0 |
entailment
|
(e&j)
|
(z|(s|d))
| 0 | 0 | 0 | 0 |
not entailment
|
(((d|(d&d))&d)&w)
|
((((s&o)|s)|((s&o)>(o&((w>(j>j))&d))))&j)
| 0 | 0 | 0 | 0 |
not entailment
|
((j|j)|((j&((z|s)|z))&((d|((d>w)|o))|d)))
|
(~(j)>(w|((w|j)&(j&~(d)))))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((~(s)&d)))
|
~(~(((d&s)>o)))
| 1 | 1 | 0 | 0 |
entailment
|
((j|j)|((j&((z|s)|z))&((d|((d>w)|o))|d)))
|
~(~(((d&s)>o)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((~(s)&d)))
|
(~(j)>(w|((w|j)&(j&~(d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((x|~(o))&z)
|
~(~((((x&x)>~(e))>(~(r)>(x>(m|z))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h>(m|(x&d)))>(e|(c&r))))
|
(e>((((z>c)>h)|x)&(h>d)))
| 1 | 1 | 0 | 0 |
entailment
|
((x|~(o))&z)
|
(e>((((z>c)>h)|x)&(h>d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((h>(m|(x&d)))>(e|(c&r))))
|
~(~((((x&x)>~(e))>(~(r)>(x>(m|z))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((m&((e|(m>o))&(x|z)))&(x&z))
|
(m&z)
| 1 | 1 | 1 | 1 |
entailment
|
~(((o|c)|m))
|
(e>(~(m)|~(((r|x)|h))))
| 1 | 0 | 0 | 0 |
entailment
|
((m&((e|(m>o))&(x|z)))&(x&z))
|
(e>(~(m)|~(((r|x)|h))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((o|c)|m))
|
(m&z)
| 0 | 1 | 0 | 0 |
not entailment
|
(m&~((d&(((h>x)>(e>c))&~(o)))))
|
((r|m)&(~(o)|m))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((((r>c)&c)>r)>x))&~(((d>(e|c))>e)))
|
(~(o)>((x|o)>c))
| 1 | 1 | 0 | 0 |
entailment
|
(m&~((d&(((h>x)>(e>c))&~(o)))))
|
(~(o)>((x|o)>c))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((((r>c)&c)>r)>x))&~(((d>(e|c))>e)))
|
((r|m)&(~(o)|m))
| 0 | 1 | 0 | 0 |
not entailment
|
((z|r)&(~(((m|d)&(r|c)))&(o&d)))
|
(c|((e>d)&(~(c)|(z|~(~(x))))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((c>(h>(~(~(r))>(c&x))))>~(h)))
|
(h|m)
| 1 | 1 | 0 | 0 |
entailment
|
((z|r)&(~(((m|d)&(r|c)))&(o&d)))
|
(h|m)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((c>(h>(~(~(r))>(c&x))))>~(h)))
|
(c|((e>d)&(~(c)|(z|~(~(x))))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(e)&m)&~((~(z)&((x>(o&r))|(d|o)))))
|
~(~((c>m)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(z))&e)&((h&o)&(c>((m>(h&c))>e))))
|
(~(((h&o)&(o&(x>h))))>~((o|x)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(e)&m)&~((~(z)&((x>(o&r))|(d|o)))))
|
(~(((h&o)&(o&(x>h))))>~((o|x)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(z))&e)&((h&o)&(c>((m>(h&c))>e))))
|
~(~((c>m)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((x&e)>((m>r)|r)))
|
(((r>(c&r))|(d>h))&(~((m>z))>m))
| 1 | 0 | 0 | 0 |
entailment
|
~((o>e))
|
(~(~(~((x&c))))|~(((c|z)&e)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((x&e)>((m>r)|r)))
|
(~(~(~((x&c))))|~(((c|z)&e)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((o>e))
|
(((r>(c&r))|(d>h))&(~((m>z))>m))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&h)
|
(m|r)
| 1 | 1 | 0 | 0 |
entailment
|
(~((r|m))&~(((z&m)&(~(e)>c))))
|
(~((x|o))|(r>z))
| 1 | 1 | 0 | 0 |
entailment
|
(m&h)
|
(~((x|o))|(r>z))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((r|m))&~(((z&m)&(~(e)>c))))
|
(m|r)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((~(m)>(c|z)))&((o|h)>m))
|
(o>~((m&d)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(h)|r))
|
~((~(c)&r))
| 1 | 1 | 0 | 0 |
entailment
|
(~((~(m)>(c|z)))&((o|h)>m))
|
~((~(c)&r))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(h)|r))
|
(o>~((m&d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(o&(o>(~((x|(x&h)))&~(~(~(z))))))
|
(((c&c)>d)|~(~(o)))
| 1 | 1 | 0 | 0 |
entailment
|
((m|(((c>r)>r)>(o>r)))&(h|~((x>~(h)))))
|
(h|(~(m)>~(~((e>m)))))
| 1 | 1 | 0 | 0 |
entailment
|
(o&(o>(~((x|(x&h)))&~(~(~(z))))))
|
(h|(~(m)>~(~((e>m)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((m|(((c>r)>r)>(o>r)))&(h|~((x>~(h)))))
|
(((c&c)>d)|~(~(o)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((o&(m&~(e)))|((c>z)>(d>(~(c)>c)))))
|
~((c|(c&c)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(o)>x)>(m>(x>r))))
|
(~(o)>(~((((d|d)>~(o))&x))>o))
| 1 | 0 | 0 | 0 |
entailment
|
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