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 |
|---|---|---|---|---|---|---|
(z&s)
|
(o|(z&((z|s)&z)))
| 1 | 0 | 0 | 0 |
entailment
|
~((s&z))
|
(((s|(z|(s>o)))|o)&~(((s|s)&z)))
| 1 | 0 | 0 | 0 |
entailment
|
(z&s)
|
(((s|(z|(s>o)))|o)&~(((s|s)&z)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s&z))
|
(o|(z&((z|s)&z)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((s|o)>((s|o)>~(~(~(s))))))
|
(s|(z|s))
| 1 | 1 | 0 | 0 |
entailment
|
~(((z|(s|o))|z))
|
~((s|z))
| 1 | 1 | 1 | 1 |
entailment
|
~(((s|o)>((s|o)>~(~(~(s))))))
|
~((s|z))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((z|(s|o))|z))
|
(s|(z|s))
| 0 | 1 | 1 | 0 |
not entailment
|
((i&r)&((r>k)&(j|k)))
|
((~(i)|((j>k)>(p>((i|v)&k))))|((i|p)&v))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((v>p)|~(j))&i)>(v|v)))
|
~(~(((p|~((r|p)))>(v>j))))
| 1 | 1 | 0 | 0 |
entailment
|
((i&r)&((r>k)&(j|k)))
|
~(~(((p|~((r|p)))>(v>j))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((v>p)|~(j))&i)>(v|v)))
|
((~(i)|((j>k)>(p>((i|v)&k))))|((i|p)&v))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&(k>i))&v)
|
(~(~(r))|(r&p))
| 1 | 0 | 0 | 0 |
entailment
|
~(r)
|
~((v&r))
| 1 | 0 | 0 | 0 |
entailment
|
((r&(k>i))&v)
|
~((v&r))
| 0 | 1 | 1 | 0 |
not entailment
|
~(r)
|
(~(~(r))|(r&p))
| 0 | 0 | 0 | 0 |
not entailment
|
((((j&j)&(r>~(r)))>v)&(i&v))
|
~((v>~(v)))
| 1 | 1 | 1 | 1 |
entailment
|
~((((i>v)|(i&r))|(p|p)))
|
(~(~((v>k)))&i)
| 1 | 1 | 0 | 0 |
entailment
|
((((j&j)&(r>~(r)))>v)&(i&v))
|
(~(~((v>k)))&i)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((i>v)|(i&r))|(p|p)))
|
~((v>~(v)))
| 0 | 1 | 1 | 0 |
not entailment
|
((k&v)&((((~(r)&r)>(v&r))>v)|p))
|
((j&(v|i))|(i|((((~(p)&v)>r)|i)>~(j))))
| 1 | 0 | 0 | 0 |
entailment
|
(((i>i)>(r&(p&r)))&(r&r))
|
(((p|~((i>j)))&(~(r)>i))>(i>p))
| 1 | 0 | 0 | 0 |
entailment
|
((k&v)&((((~(r)&r)>(v&r))>v)|p))
|
(((p|~((i>j)))&(~(r)>i))>(i>p))
| 0 | 1 | 0 | 0 |
not entailment
|
(((i>i)>(r&(p&r)))&(r&r))
|
((j&(v|i))|(i|((((~(p)&v)>r)|i)>~(j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(v|v)
|
((p&i)>v)
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(r)&(p|v)))>(~(i)&i))
|
((j&r)>(r&(((i>i)>~(r))&p)))
| 1 | 1 | 0 | 0 |
entailment
|
(v|v)
|
((j&r)>(r&(((i>i)>~(r))&p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(r)&(p|v)))>(~(i)&i))
|
((p&i)>v)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~(k))&(v&((k|v)|i)))
|
((r>v)|~((r>k)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(j)|((r>(p|i))|v)))
|
(p|((~(i)>p)>j))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~(k))&(v&((k|v)|i)))
|
(p|((~(i)>p)>j))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(j)|((r>(p|i))|v)))
|
((r>v)|~((r>k)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(k)&~(p))&~(j))
|
((j|(j&v))>(v|i))
| 1 | 1 | 0 | 0 |
entailment
|
((j>j)&j)
|
((~(~(((k|v)|v)))|((i&r)>(k|j)))|k)
| 1 | 0 | 0 | 0 |
entailment
|
((~(k)&~(p))&~(j))
|
((~(~(((k|v)|v)))|((i&r)>(k|j)))|k)
| 0 | 0 | 0 | 0 |
not entailment
|
((j>j)&j)
|
((j|(j&v))>(v|i))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(r)&(~(r)&i))
|
((p|i)>(r|i))
| 1 | 1 | 0 | 0 |
entailment
|
(~(k)&v)
|
((~(i)|i)>v)
| 1 | 0 | 0 | 0 |
entailment
|
(~(r)&(~(r)&i))
|
((~(i)|i)>v)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(k)&v)
|
((p|i)>(r|i))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(((k>r)>v)))>(p&p))
|
(~((((~(v)&j)|(r>i))|i))>(v>p))
| 1 | 0 | 0 | 0 |
entailment
|
(~(p)&~(k))
|
(p>(~(((k|(v&v))|((r>i)>(r>k))))|v))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(((k>r)>v)))>(p&p))
|
(p>(~(((k|(v&v))|((r>i)>(r>k))))|v))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(p)&~(k))
|
(~((((~(v)&j)|(r>i))|i))>(v>p))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((i&~(r))>~(i))|(v>k)))&(i|v))
|
(k>(((v|i)>j)>(~((~(j)&(k|j)))&r)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(((j&v)&(p&p))))|(j&~((k&p))))
|
(~(~(~(((k>j)|j))))|j)
| 1 | 1 | 1 | 0 |
entailment
|
(~((((i&~(r))>~(i))|(v>k)))&(i|v))
|
(~(~(~(((k>j)|j))))|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(((j&v)&(p&p))))|(j&~((k&p))))
|
(k>(((v|i)>j)>(~((~(j)&(k|j)))&r)))
| 0 | 1 | 0 | 0 |
not entailment
|
((p|(v&r))>v)
|
(v|(p>v))
| 1 | 1 | 1 | 1 |
entailment
|
((~(~((v&p)))>r)&(k&i))
|
(~(((v>(p>v))>~(r)))>i)
| 1 | 1 | 1 | 0 |
entailment
|
((p|(v&r))>v)
|
(~(((v>(p>v))>~(r)))>i)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~((v&p)))>r)&(k&i))
|
(v|(p>v))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(~(~(((i>(p|r))|v))))))
|
~(((~((k&~((k&(p|v)))))|(j>i))>(v&i)))
| 1 | 0 | 0 | 0 |
entailment
|
(k&(~((((p|k)&j)&(j&r)))&(k>(p&i))))
|
(~(k)>((j|r)|v))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(~(~(((i>(p|r))|v))))))
|
(~(k)>((j|r)|v))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&(~((((p|k)&j)&(j&r)))&(k>(p&i))))
|
~(((~((k&~((k&(p|v)))))|(j>i))>(v&i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((j>v)|~(k)))|j)
|
((~(~(v))>(k&p))|(~((i|(v>j)))>(k|k)))
| 1 | 0 | 0 | 0 |
entailment
|
~((r|i))
|
(i>~((~(~((v&p)))>(p>(p>j)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((j>v)|~(k)))|j)
|
(i>~((~(~((v&p)))>(p>(p>j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r|i))
|
((~(~(v))>(k&p))|(~((i|(v>j)))>(k|k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(i)|(k>i))&p)&p)
|
(p|(k|p))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((r|r)&i)))
|
(i|j)
| 1 | 1 | 0 | 0 |
entailment
|
(((~(i)|(k>i))&p)&p)
|
(i|j)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((r|r)&i)))
|
(p|(k|p))
| 0 | 1 | 0 | 0 |
not entailment
|
((((j&k)|i)&(k>k))&k)
|
((j>k)|~((i|~((v&(r&i))))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~(~((i|i)))))&~((~(v)|k)))
|
~(~((~(~((~(v)&r)))>i)))
| 1 | 1 | 0 | 0 |
entailment
|
((((j&k)|i)&(k>k))&k)
|
~(~((~(~((~(v)&r)))>i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~(~((i|i)))))&~((~(v)|k)))
|
((j>k)|~((i|~((v&(r&i))))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((((k&v)|((k&((k|p)|i))|r))&k)&i)|(k&j))
|
(((j|~((v&j)))>~(i))|k)
| 1 | 1 | 1 | 0 |
entailment
|
(((j>r)&(j>p))|(((i|r)&p)&(v|v)))
|
(((i|j)&~((i|p)))>(k>i))
| 1 | 1 | 0 | 0 |
entailment
|
(((((k&v)|((k&((k|p)|i))|r))&k)&i)|(k&j))
|
(((i|j)&~((i|p)))>(k>i))
| 0 | 1 | 1 | 0 |
not entailment
|
(((j>r)&(j>p))|(((i|r)&p)&(v|v)))
|
(((j|~((v&j)))>~(i))|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&((((o>g)|o)>(p|g))&p))
|
(g|p)
| 1 | 1 | 1 | 1 |
entailment
|
~(((o&o)>~((~((p|g))&~((g|d))))))
|
(((c>d)&g)|o)
| 1 | 1 | 0 | 0 |
entailment
|
(d&((((o>g)|o)>(p|g))&p))
|
(((c>d)&g)|o)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((o&o)>~((~((p|g))&~((g|d))))))
|
(g|p)
| 0 | 1 | 1 | 0 |
not entailment
|
((~((p>o))|(d>o))>(d&g))
|
((g|g)|d)
| 1 | 1 | 1 | 1 |
entailment
|
(~((p&((d|o)>c)))>~(~(~((~(c)|o)))))
|
(d>c)
| 1 | 1 | 1 | 1 |
entailment
|
((~((p>o))|(d>o))>(d&g))
|
(d>c)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((p&((d|o)>c)))>~(~(~((~(c)|o)))))
|
((g|g)|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((g|g))&((p&d)|~((d&(o|c)))))
|
((d|(c&g))>(~(o)|d))
| 1 | 1 | 1 | 1 |
entailment
|
~(p)
|
~(~((d>~(~(~(((p>o)>~((g|d)))))))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((g|g))&((p&d)|~((d&(o|c)))))
|
~(~((d>~(~(~(((p>o)>~((g|d)))))))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(p)
|
((d|(c&g))>(~(o)|d))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&(o&p))
|
(c|((g|~((g&(d|d))))&g))
| 1 | 0 | 0 | 0 |
entailment
|
~(o)
|
((~((d>(d>g)))&(((p|p)|d)>c))|(o>c))
| 1 | 0 | 0 | 0 |
entailment
|
(g&(o&p))
|
((~((d>(d>g)))&(((p|p)|d)>c))|(o>c))
| 0 | 0 | 0 | 0 |
not entailment
|
~(o)
|
(c|((g|~((g&(d|d))))&g))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&~(~((((g&p)>p)>(d&o)))))
|
(d|(((c&p)>~((o>(p|p))))&(p&c)))
| 1 | 0 | 1 | 0 |
entailment
|
((((c>p)&p)&(p|g))&(g&p))
|
(g|(~(p)>((g|((c|g)>d))>~(c))))
| 1 | 0 | 0 | 0 |
entailment
|
(c&~(~((((g&p)>p)>(d&o)))))
|
(g|(~(p)>((g|((c|g)>d))>~(c))))
| 0 | 0 | 1 | 0 |
not entailment
|
((((c>p)&p)&(p|g))&(g&p))
|
(d|(((c&p)>~((o>(p|p))))&(p&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(o))&~(((p&((d&o)|d))|(o>~(o)))))
|
(p>o)
| 1 | 1 | 1 | 1 |
entailment
|
(((d>(g>p))>g)&(c|d))
|
(o>g)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(o))&~(((p&((d&o)|d))|(o>~(o)))))
|
(o>g)
| 0 | 1 | 0 | 0 |
not entailment
|
(((d>(g>p))>g)&(c|d))
|
(p>o)
| 0 | 1 | 0 | 0 |
not entailment
|
((o|c)&(o&c))
|
(~((d|g))>o)
| 1 | 1 | 0 | 0 |
entailment
|
((p&((d&d)&g))|p)
|
~((~((o>d))&((p>d)&(o|~(o)))))
| 1 | 0 | 0 | 0 |
entailment
|
((o|c)&(o&c))
|
~((~((o>d))&((p>d)&(o|~(o)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((p&((d&d)&g))|p)
|
(~((d|g))>o)
| 0 | 1 | 0 | 0 |
not entailment
|
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