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 |
---|---|---|---|---|---|---|
(h&((r>~(((h|h)>r)))>r))
|
(q>r)
| 1 | 1 | 0 | 0 |
entailment
|
~((r|m))
|
~(m)
| 1 | 1 | 1 | 1 |
entailment
|
(h&((r>~(((h|h)>r)))>r))
|
~(m)
| 0 | 1 | 0 | 0 |
not entailment
|
~((r|m))
|
(q>r)
| 0 | 1 | 0 | 0 |
not entailment
|
(t>~((t>((v|l)&((v>t)|l)))))
|
(((t&v)>r)|m)
| 1 | 1 | 0 | 0 |
entailment
|
((q&(l&v))&t)
|
~(~((~((r&(h|v)))|(l|d))))
| 1 | 0 | 0 | 0 |
entailment
|
(t>~((t>((v|l)&((v>t)|l)))))
|
~(~((~((r&(h|v)))|(l|d))))
| 0 | 1 | 0 | 0 |
not entailment
|
((q&(l&v))&t)
|
(((t&v)>r)|m)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((t|h))&(l>q))>(l>(t|r))))
|
~((h|r))
| 1 | 1 | 1 | 1 |
entailment
|
((v|t)&(l&(d&~(v))))
|
((t|(q&d))|~(((q|m)|d)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((t|h))&(l>q))>(l>(t|r))))
|
((t|(q&d))|~(((q|m)|d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((v|t)&(l&(d&~(v))))
|
~((h|r))
| 0 | 1 | 0 | 0 |
not entailment
|
((d&t)&d)
|
((m&h)>t)
| 1 | 1 | 0 | 0 |
entailment
|
(l&(h&r))
|
(~(~((d>h)))|(q&m))
| 1 | 0 | 0 | 0 |
entailment
|
((d&t)&d)
|
(~(~((d>h)))|(q&m))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&(h&r))
|
((m&h)>t)
| 0 | 1 | 0 | 0 |
not entailment
|
~((t>(~(~((t>o)))>(~(k)&(k|h)))))
|
(~((t&k))>(((t|h)|o)|(k|t)))
| 1 | 1 | 1 | 0 |
entailment
|
~((((~(h)|(o>t))>t)|h))
|
(~(~(t))>(k&(k&k)))
| 1 | 1 | 0 | 0 |
entailment
|
~((t>(~(~((t>o)))>(~(k)&(k|h)))))
|
(~(~(t))>(k&(k&k)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((((~(h)|(o>t))>t)|h))
|
(~((t&k))>(((t|h)|o)|(k|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&h)
|
((t>(k>h))>t)
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(h)>k)|((o>h)&((h|k)|o))))
|
(h>(h&((k&(k&o))|(t&(~((h&k))>(o&t))))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&h)
|
(h>(h&((k&(k&o))|(t&(~((h&k))>(o&t))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(h)>k)|((o>h)&((h|k)|o))))
|
((t>(k>h))>t)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((k&t)>(t&(o&o))))&k)
|
(t|~((((h&t)&~((k|(h|t))))|(k|o))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&o)
|
(((t>h)&(h>t))>((t>h)&o))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((k&t)>(t&(o&o))))&k)
|
(((t>h)&(h>t))>((t>h)&o))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&o)
|
(t|~((((h&t)&~((k|(h|t))))|(k|o))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t>h)&~(k))
|
((~(t)&~(t))>~((k&o)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((t|h)|~(((((k|h)>k)|h)|t))))>(t&k))
|
(~((k|((t|o)>t)))>(h|t))
| 1 | 1 | 0 | 0 |
entailment
|
((t>h)&~(k))
|
(~((k|((t|o)>t)))>(h|t))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((t|h)|~(((((k|h)>k)|h)|t))))>(t&k))
|
((~(t)&~(t))>~((k&o)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(t)>~((((k&k)&k)|(o>(h&o)))))
|
((((h>t)>k)>o)>(k>t))
| 1 | 1 | 1 | 0 |
entailment
|
~(((o&t)|((t&o)|~(o))))
|
((o|o)>((t&k)>h))
| 1 | 1 | 0 | 0 |
entailment
|
(~(t)>~((((k&k)&k)|(o>(h&o)))))
|
((o|o)>((t&k)>h))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((o&t)|((t&o)|~(o))))
|
((((h>t)>k)>o)>(k>t))
| 0 | 1 | 0 | 0 |
not entailment
|
(o&t)
|
(t|~(k))
| 1 | 0 | 0 | 0 |
entailment
|
(((h|~(h))&t)>~(t))
|
(((t&o)&h)>~((t>o)))
| 1 | 1 | 0 | 0 |
entailment
|
(o&t)
|
(((t&o)&h)>~((t>o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h|~(h))&t)>~(t))
|
(t|~(k))
| 0 | 1 | 0 | 0 |
not entailment
|
(((t>((k|h)&k))>(k>o))&(~(k)|t))
|
(((((k>t)&(k|k))|((o&h)&k))>o)|(o&h))
| 1 | 0 | 1 | 0 |
entailment
|
~((((t&k)>h)>~((k&t))))
|
(h|(k|k))
| 1 | 1 | 1 | 1 |
entailment
|
(((t>((k|h)&k))>(k>o))&(~(k)|t))
|
(h|(k|k))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((t&k)>h)>~((k&t))))
|
(((((k>t)&(k|k))|((o&h)&k))>o)|(o&h))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((t|h)>t)>(k|~(h))))
|
((o|((k>o)&k))>h)
| 1 | 1 | 0 | 0 |
entailment
|
(((t|o)|(t>h))&(o&~((t|t))))
|
((~(~(~(~(t))))>(k|t))>~(~(o)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((t|h)>t)>(k|~(h))))
|
((~(~(~(~(t))))>(k|t))>~(~(o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((t|o)|(t>h))&(o&~((t|t))))
|
((o|((k>o)&k))>h)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(k)&(h&o))>k)&k)
|
(h>k)
| 1 | 1 | 1 | 1 |
entailment
|
((k|~(t))&~(k))
|
~(~(~(((o>((k|o)>(o&o)))>(k&h)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(k)&(h&o))>k)&k)
|
~(~(~(((o>((k|o)>(o&o)))>(k&h)))))
| 0 | 0 | 1 | 0 |
not entailment
|
((k|~(t))&~(k))
|
(h>k)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((~(~(o))&k)|~((t&(o|o)))))))
|
((t>o)|((k|(t&h))&(h>((k|o)>t))))
| 1 | 1 | 0 | 0 |
entailment
|
((~((((o|t)&k)|k))>t)&(~(h)&(o|(k>t))))
|
~(((((o>h)>o)>(o>(o&(h>(h|t)))))>(h&t)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~(((~(~(o))&k)|~((t&(o|o)))))))
|
~(((((o>h)>o)>(o>(o&(h>(h|t)))))>(h&t)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((((o|t)&k)|k))>t)&(~(h)&(o|(k>t))))
|
((t>o)|((k|(t&h))&(h>((k|o)>t))))
| 0 | 1 | 1 | 0 |
not entailment
|
(k&o)
|
~(~(k))
| 1 | 0 | 1 | 1 |
entailment
|
((o|o)>(h&t))
|
(o>t)
| 1 | 1 | 1 | 1 |
entailment
|
(k&o)
|
(o>t)
| 0 | 1 | 0 | 0 |
not entailment
|
((o|o)>(h&t))
|
~(~(k))
| 0 | 1 | 0 | 0 |
not entailment
|
(t&((t|~(t))|k))
|
(t|o)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(t)>(k>h)))
|
(~((k&h))&(((h|h)>(k>o))>(t>o)))
| 1 | 0 | 0 | 0 |
entailment
|
(t&((t|~(t))|k))
|
(~((k&h))&(((h|h)>(k>o))>(t>o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(t)>(k>h)))
|
(t|o)
| 0 | 1 | 0 | 0 |
not entailment
|
(((h&t)>o)&((t&k)&k))
|
(o|((t&(h>~(k)))>~((~(k)|((o|k)>o)))))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(k)>o))
|
(k>h)
| 1 | 1 | 0 | 0 |
entailment
|
(((h&t)>o)&((t&k)&k))
|
(k>h)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(k)>o))
|
(o|((t&(h>~(k)))>~((~(k)|((o|k)>o)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((o>o)|t)&~((~((o|k))|k)))
|
~((~(~(k))|((h|o)&~(o))))
| 1 | 1 | 0 | 0 |
entailment
|
((k&(~((k&h))&h))|h)
|
((h|h)|(k|t))
| 1 | 1 | 0 | 0 |
entailment
|
(((o>o)|t)&~((~((o|k))|k)))
|
((h|h)|(k|t))
| 0 | 1 | 0 | 0 |
not entailment
|
((k&(~((k&h))&h))|h)
|
~((~(~(k))|((h|o)&~(o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&(~(x)>(v&x)))
|
(~(~(~(x)))>(w&((i>(i>i))&p)))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(((d&w)&x))|(m>~(x)))&d)&m)
|
((p>l)>d)
| 1 | 1 | 0 | 0 |
entailment
|
(x&(~(x)>(v&x)))
|
((p>l)>d)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(((d&w)&x))|(m>~(x)))&d)&m)
|
(~(~(~(x)))>(w&((i>(i>i))&p)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(v)|~((d&x))))
|
(~(~((((m>m)>(v>~(x)))|v)))&(p>d))
| 1 | 0 | 0 | 0 |
entailment
|
(m&l)
|
(i|((l|m)|(((w&i)&~(w))|(w>l))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(v)|~((d&x))))
|
(i|((l|m)|(((w&i)&~(w))|(w>l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&l)
|
(~(~((((m>m)>(v>~(x)))|v)))&(p>d))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&p)
|
(w|(p|l))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(((v>(l&v))|(d>(d>v)))&(x>m)))
|
(d&d)
| 1 | 1 | 1 | 1 |
entailment
|
(m&p)
|
(d&d)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(((v>(l&v))|(d>(d>v)))&(x>m)))
|
(w|(p|l))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((p|m)>i))
|
(~(i)|((~(d)&i)>((w>(x|p))>m)))
| 1 | 0 | 0 | 0 |
entailment
|
~((x>v))
|
(~(l)|((~(p)&v)>(i&l)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((p|m)>i))
|
(~(l)|((~(p)&v)>(i&l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((x>v))
|
(~(i)|((~(d)&i)>((w>(x|p))>m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((x|(m&l))>x))|((m>p)>m))
|
((d|d)|(((~(x)&l)|~(v))>~(~((w>m)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(d)&l))
|
((v|~((l>d)))>(x>v))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((x|(m&l))>x))|((m>p)>m))
|
((v|~((l>d)))>(x>v))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(d)&l))
|
((d|d)|(((~(x)&l)|~(v))>~(~((w>m)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((w|((i>l)>m))&((((l|i)|w)>p)&i))
|
(((w>(d>p))&((i|v)>~(w)))>p)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((~(l)|m)&v))&w)
|
((v&p)>~(~(((w|(p>x))>l))))
| 1 | 0 | 0 | 0 |
entailment
|
((w|((i>l)>m))&((((l|i)|w)>p)&i))
|
((v&p)>~(~(((w|(p>x))>l))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((~(l)|m)&v))&w)
|
(((w>(d>p))&((i|v)>~(w)))>p)
| 0 | 0 | 0 | 0 |
not entailment
|
(((d&d)|~(~(d)))&~((~((w|v))&x)))
|
(l|d)
| 1 | 1 | 0 | 0 |
entailment
|
(((v&w)&(l>(l|p)))&(d>i))
|
((w>x)>(((v|(v>w))&~((p&p)))|(v&x)))
| 1 | 0 | 0 | 0 |
entailment
|
(((d&d)|~(~(d)))&~((~((w|v))&x)))
|
((w>x)>(((v|(v>w))&~((p&p)))|(v&x)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((v&w)&(l>(l|p)))&(d>i))
|
(l|d)
| 0 | 1 | 1 | 0 |
not entailment
|
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