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 |
|---|---|---|---|---|---|---|
~(((o&(m&~(e)))|((c>z)>(d>(~(c)>c)))))
|
(~(o)>(~((((d|d)>~(o))&x))>o))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(o)>x)>(m>(x>r))))
|
~((c|(c&c)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((o&e)&x)|e)&x)
|
(~(~(((h&c)&(~((r&o))|(h&o)))))>e)
| 1 | 0 | 0 | 0 |
entailment
|
~((~((c&m))>(((z&r)>c)>r)))
|
((((c>c)&e)>r)>~((e&o)))
| 1 | 1 | 0 | 0 |
entailment
|
((((o&e)&x)|e)&x)
|
((((c>c)&e)>r)>~((e&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((c&m))>(((z&r)>c)>r)))
|
(~(~(((h&c)&(~((r&o))|(h&o)))))>e)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((x>(z>~(h)))|(c&o)))
|
(~((e&~(x)))>x)
| 1 | 1 | 0 | 0 |
entailment
|
~((d>~(((h&(o|r))|(e|r)))))
|
((m>~(r))|d)
| 1 | 1 | 0 | 0 |
entailment
|
~(((x>(z>~(h)))|(c&o)))
|
((m>~(r))|d)
| 0 | 1 | 0 | 0 |
not entailment
|
~((d>~(((h&(o|r))|(e|r)))))
|
(~((e&~(x)))>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(m&o)
|
((c&(x&(r&~(o))))>e)
| 1 | 0 | 0 | 0 |
entailment
|
((x&((m&m)|(h|x)))&d)
|
(((r&(e>e))|((m&o)&e))>(((~(x)>m)|e)&x))
| 1 | 0 | 0 | 0 |
entailment
|
(m&o)
|
(((r&(e>e))|((m&o)&e))>(((~(x)>m)|e)&x))
| 0 | 0 | 0 | 0 |
not entailment
|
((x&((m&m)|(h|x)))&d)
|
((c&(x&(r&~(o))))>e)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(r)>d))
|
~(((r&z)&(m|~(d))))
| 1 | 0 | 0 | 0 |
entailment
|
(e&(z&(d&m)))
|
~((e>(~(z)&d)))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(r)>d))
|
~((e>(~(z)&d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&(z&(d&m)))
|
~(((r&z)&(m|~(d))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((x|m)>(r|(x>z))))
|
((x|(e|e))|(e&((o&o)|o)))
| 1 | 0 | 0 | 0 |
entailment
|
~(e)
|
((e|e)>(z&d))
| 1 | 0 | 0 | 0 |
entailment
|
~(((x|m)>(r|(x>z))))
|
((e|e)>(z&d))
| 0 | 1 | 0 | 0 |
not entailment
|
~(e)
|
((x|(e|e))|(e&((o&o)|o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(d)&(c&x))
|
~(d)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(((e>h)|~((o&e))))>~(~(r))))
|
(~(((m|(e>x))>(x>o)))|e)
| 1 | 1 | 0 | 0 |
entailment
|
(~(d)&(c&x))
|
(~(((m|(e>x))>(x>o)))|e)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((e>h)|~((o&e))))>~(~(r))))
|
~(d)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(m)&(m|e))|(m|r))&o)
|
(o|~(~(o)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~((r|(m>o)))))
|
~(((m|(d>r))>r))
| 1 | 1 | 0 | 0 |
entailment
|
(((~(m)&(m|e))|(m|r))&o)
|
~(((m|(d>r))>r))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((r|(m>o)))))
|
(o|~(~(o)))
| 0 | 1 | 1 | 0 |
not entailment
|
((((w|m)|m)&w)|((x&~(j))&w))
|
(~((~((w|j))&x))>w)
| 1 | 1 | 1 | 0 |
entailment
|
((~(~(w))>k)&((j|j)&(j>m)))
|
(((t>m)|(t|((x&x)>(w&k))))>(m|x))
| 1 | 0 | 0 | 0 |
entailment
|
((((w|m)|m)&w)|((x&~(j))&w))
|
(((t>m)|(t|((x&x)>(w&k))))>(m|x))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(w))>k)&((j|j)&(j>m)))
|
(~((~((w|j))&x))>w)
| 0 | 1 | 0 | 0 |
not entailment
|
(k&w)
|
((j>w)>((k&k)|((w>~(k))&(t&x))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((x>x)>j)>(~(w)|k)))
|
(~((a|m))>(j|(k>~(((w|(m|a))|a)))))
| 1 | 0 | 0 | 0 |
entailment
|
(k&w)
|
(~((a|m))>(j|(k>~(((w|(m|a))|a)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((x>x)>j)>(~(w)|k)))
|
((j>w)>((k&k)|((w>~(k))&(t&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t|t)&(m&t))
|
(~(t)>(j&~((j|((t&t)>(m&w))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((k|(m|(t&j))))|m))
|
(((m>w)|k)|(~(a)&m))
| 1 | 1 | 0 | 0 |
entailment
|
((t|t)&(m&t))
|
(((m>w)|k)|(~(a)&m))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((k|(m|(t&j))))|m))
|
(~(t)>(j&~((j|((t&t)>(m&w))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((j|(x|x))&(k&j))>m)>k)
|
(k|m)
| 1 | 1 | 1 | 0 |
entailment
|
((w>~(~((w|~((j&x))))))&~(~(j)))
|
((a>j)|(~(x)&~((~(x)|j))))
| 1 | 1 | 0 | 0 |
entailment
|
((((j|(x|x))&(k&j))>m)>k)
|
((a>j)|(~(x)&~((~(x)|j))))
| 0 | 0 | 0 | 0 |
not entailment
|
((w>~(~((w|~((j&x))))))&~(~(j)))
|
(k|m)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(m)&(t&k))
|
(j|k)
| 1 | 1 | 0 | 0 |
entailment
|
(w|((w|(x&j))&x))
|
~(~((~(~(~(~(w))))|((k&(t&j))|j))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(m)&(t&k))
|
~(~((~(~(~(~(w))))|((k&(t&j))|j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(w|((w|(x&j))&x))
|
(j|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&(t|~(~(t))))
|
(j&(k|(j|a)))
| 1 | 1 | 0 | 0 |
entailment
|
((t|(~(j)|a))>x)
|
~(~((~((w|k))>(~((~(x)>(t>a)))>m))))
| 1 | 0 | 0 | 0 |
entailment
|
(j&(t|~(~(t))))
|
~(~((~((w|k))>(~((~(x)>(t>a)))>m))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t|(~(j)|a))>x)
|
(j&(k|(j|a)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((m|((w&m)|~((m|(m&j)))))))&m)
|
~(~((x>(w|(w|(j>m))))))
| 1 | 1 | 0 | 0 |
entailment
|
(a&(w>j))
|
~(~(((a|(a&m))|j)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((m|((w&m)|~((m|(m&j)))))))&m)
|
~(~(((a|(a&m))|j)))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(w>j))
|
~(~((x>(w|(w|(j>m))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((~((a&j))>j)&(w&t))&k)))
|
~(~((k|((k>m)>~(((~((k|w))&t)|k))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((j&(m&(k>a)))))|j))
|
~(((k|~(((w>~(m))&x)))&j))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((((~((a&j))>j)&(w&t))&k)))
|
~(((k|~(((w>~(m))&x)))&j))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((j&(m&(k>a)))))|j))
|
~(~((k|((k>m)>~(((~((k|w))&t)|k))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(w)>(j>k)))
|
(((k>j)>(a>j))|(~(m)|(w|k)))
| 1 | 0 | 0 | 0 |
entailment
|
~((x>(t&((x&j)&(t>x)))))
|
(m>x)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(w)>(j>k)))
|
(m>x)
| 0 | 1 | 0 | 0 |
not entailment
|
~((x>(t&((x&j)&(t>x)))))
|
(((k>j)>(a>j))|(~(m)|(w|k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((w>j)&j)&((m&a)&k))
|
((m>(x>(m>a)))&j)
| 1 | 1 | 0 | 0 |
entailment
|
(t&w)
|
~((((j&m)&a)&~(w)))
| 1 | 0 | 0 | 0 |
entailment
|
(((w>j)&j)&((m&a)&k))
|
~((((j&m)&a)&~(w)))
| 0 | 1 | 1 | 0 |
not entailment
|
(t&w)
|
((m>(x>(m>a)))&j)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((a&t)>x)&~((k|a)))))
|
~(a)
| 1 | 1 | 1 | 1 |
entailment
|
((x>~((~(k)&k)))>~((((j&j)>t)|w)))
|
(j|(m>a))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((((a&t)>x)&~((k|a)))))
|
(j|(m>a))
| 0 | 1 | 0 | 0 |
not entailment
|
((x>~((~(k)&k)))>~((((j&j)>t)|w)))
|
~(a)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&a)
|
~(~((~((t&k))|(j|j))))
| 1 | 0 | 0 | 0 |
entailment
|
(w&t)
|
~(((~((m&a))>(a|~(~(~(j)))))&~(w)))
| 1 | 0 | 0 | 0 |
entailment
|
(j&a)
|
~(((~((m&a))>(a|~(~(~(j)))))&~(w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(w&t)
|
~(~((~((t&k))|(j|j))))
| 0 | 0 | 0 | 0 |
not entailment
|
((m&((x|w)|m))&((m|(w&t))>(j&t)))
|
((j&k)|(w|m))
| 1 | 1 | 0 | 0 |
entailment
|
(~(k)&~((w|k)))
|
(((t&~(a))&((~(w)|a)>(w&t)))>a)
| 1 | 0 | 0 | 0 |
entailment
|
((m&((x|w)|m))&((m|(w&t))>(j&t)))
|
(((t&~(a))&((~(w)|a)>(w&t)))>a)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(k)&~((w|k)))
|
((j&k)|(w|m))
| 0 | 1 | 0 | 0 |
not entailment
|
((t&j)&(k|((w|(w|x))&~(m))))
|
(k>(j|w))
| 1 | 1 | 1 | 0 |
entailment
|
(~(x)&(~((k>j))&a))
|
(~(~((j|j)))>(((w&~(j))>k)>w))
| 1 | 0 | 0 | 0 |
entailment
|
((t&j)&(k|((w|(w|x))&~(m))))
|
(~(~((j|j)))>(((w&~(j))>k)>w))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(x)&(~((k>j))&a))
|
(k>(j|w))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(k))
|
(((j>w)>((j>a)>(a>t)))|k)
| 1 | 0 | 0 | 0 |
entailment
|
(m>x)
|
(x|~(m))
| 1 | 0 | 1 | 1 |
entailment
|
~(~(k))
|
(x|~(m))
| 0 | 1 | 0 | 0 |
not entailment
|
(m>x)
|
(((j>w)>((j>a)>(a>t)))|k)
| 0 | 0 | 0 | 0 |
not entailment
|
~((a|j))
|
(((j|x)|(a&w))>(a>((m&j)&((j>t)|x))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(~(((x>k)&(x&j))))))
|
((((w&m)&((k&j)|t))&(x|w))|j)
| 1 | 1 | 0 | 0 |
entailment
|
~((a|j))
|
((((w&m)&((k&j)|t))&(x|w))|j)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~(((x>k)&(x&j))))))
|
(((j|x)|(a&w))>(a>((m&j)&((j>t)|x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((t>(~(k)|(k&(w&j)))))
|
~((a&(k&(~(t)&k))))
| 1 | 1 | 0 | 0 |
entailment
|
(~((t|m))&((j&x)|((x>m)|w)))
|
((x&m)|((w|j)>(m>((w|~(w))&j))))
| 1 | 0 | 1 | 0 |
entailment
|
~((t>(~(k)|(k&(w&j)))))
|
((x&m)|((w|j)>(m>((w|~(w))&j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((t|m))&((j&x)|((x>m)|w)))
|
~((a&(k&(~(t)&k))))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&k)
|
((j>(m|k))|x)
| 1 | 0 | 0 | 0 |
entailment
|
~(((j>a)&(~(((~(a)&a)|t))>~(t))))
|
(~((j>((w|k)&(t&j))))|~(~(j)))
| 1 | 1 | 0 | 0 |
entailment
|
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