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 |
|---|---|---|---|---|---|---|
((l|(r>r))>r)
|
(~((r>~(r)))|(((x|x)>r)>(r&l)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(l))
|
((x|(~((l>r))&(r|r)))|l)
| 1 | 0 | 0 | 0 |
entailment
|
((l|(r>r))>r)
|
((x|(~((l>r))&(r|r)))|l)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(l))
|
(~((r>~(r)))|(((x|x)>r)>(r&l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(v&(~(l)&x))
|
((~(r)&(r>r))>x)
| 1 | 0 | 0 | 0 |
entailment
|
~((r&(r|~((l&(x&r))))))
|
(((r&v)&v)>(r&l))
| 1 | 1 | 0 | 0 |
entailment
|
(v&(~(l)&x))
|
(((r&v)&v)>(r&l))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r&(r|~((l&(x&r))))))
|
((~(r)&(r>r))>x)
| 0 | 1 | 1 | 1 |
not entailment
|
~((~((x>(v&(~(x)>r))))>(x>v)))
|
(~((x|l))>x)
| 1 | 1 | 0 | 0 |
entailment
|
((v>v)>(v|(~((x|r))&l)))
|
((x|~((v>~(l))))>v)
| 1 | 1 | 1 | 0 |
entailment
|
~((~((x>(v&(~(x)>r))))>(x>v)))
|
((x|~((v>~(l))))>v)
| 0 | 1 | 0 | 0 |
not entailment
|
((v>v)>(v|(~((x|r))&l)))
|
(~((x|l))>x)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((v|v)&(r>(r&v))))
|
((~(((r>r)&~(v)))&v)>r)
| 1 | 0 | 1 | 1 |
entailment
|
(~(((x|l)|r))&(v|v))
|
((~(((v|v)|x))|x)>(l&(x>((r|l)|v))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((v|v)&(r>(r&v))))
|
((~(((v|v)|x))|x)>(l&(x>((r|l)|v))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((x|l)|r))&(v|v))
|
((~(((r>r)&~(v)))&v)>r)
| 0 | 0 | 1 | 0 |
not entailment
|
((l&(v&r))&r)
|
(((x>r)>v)>((v&l)&l))
| 1 | 0 | 0 | 0 |
entailment
|
~(((l>r)|(x&v)))
|
~((r&r))
| 1 | 1 | 1 | 1 |
entailment
|
((l&(v&r))&r)
|
~((r&r))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((l>r)|(x&v)))
|
(((x>r)>v)>((v&l)&l))
| 0 | 0 | 1 | 0 |
not entailment
|
(((~(~(r))&x)&(v&(l|(x&x))))|l)
|
((~((r|l))>r)|((l&(r|x))&(x&(v&l))))
| 1 | 0 | 1 | 1 |
entailment
|
((v|r)|r)
|
~((x&~((v|r))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(~(r))&x)&(v&(l|(x&x))))|l)
|
~((x&~((v|r))))
| 0 | 1 | 1 | 0 |
not entailment
|
((v|r)|r)
|
((~((r|l))>r)|((l&(r|x))&(x&(v&l))))
| 0 | 0 | 0 | 0 |
not entailment
|
((v|l)&~(((l|v)>x)))
|
(v|l)
| 1 | 1 | 1 | 1 |
entailment
|
~((x|v))
|
(((((l>l)&v)|(~(l)&(x&x)))|x)>(x&v))
| 1 | 0 | 0 | 0 |
entailment
|
((v|l)&~(((l|v)>x)))
|
(((((l>l)&v)|(~(l)&(x&x)))|x)>(x&v))
| 0 | 0 | 1 | 0 |
not entailment
|
~((x|v))
|
(v|l)
| 0 | 1 | 0 | 0 |
not entailment
|
(((r|l)&(r&r))&(l>r))
|
(r&((l>r)|(x|r)))
| 1 | 1 | 0 | 0 |
entailment
|
((x&~(~(((x>x)&(r|x)))))&((x&v)>~(r)))
|
(((v|v)>x)|(r&l))
| 1 | 1 | 0 | 0 |
entailment
|
(((r|l)&(r&r))&(l>r))
|
(((v|v)>x)|(r&l))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&~(~(((x>x)&(r|x)))))&((x&v)>~(r)))
|
(r&((l>r)|(x|r)))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&(v|r))&x)
|
(x&(x|(v&(l>v))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((x|(v&l))|(r>(l|(l&(v>r))))))
|
(((~(r)&r)|l)>(l>((l>r)>~(x))))
| 1 | 1 | 1 | 0 |
entailment
|
((x&(v|r))&x)
|
(((~(r)&r)|l)>(l>((l>r)>~(x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((x|(v&l))|(r>(l|(l&(v>r))))))
|
(x&(x|(v&(l>v))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((p|((a|p)>~(r))))
|
((a|p)|a)
| 1 | 1 | 1 | 1 |
entailment
|
(o|o)
|
((a>((o>a)>o))|((p&p)|o))
| 1 | 0 | 0 | 0 |
entailment
|
~((p|((a|p)>~(r))))
|
((a>((o>a)>o))|((p&p)|o))
| 0 | 0 | 0 | 0 |
not entailment
|
(o|o)
|
((a|p)|a)
| 0 | 0 | 0 | 0 |
not entailment
|
(a&p)
|
(a|r)
| 1 | 1 | 0 | 0 |
entailment
|
(~(o)&(o>(~((a|(p>r)))>r)))
|
((p>((a&p)|a))>~((o&(~((p|~(a)))>a))))
| 1 | 0 | 1 | 0 |
entailment
|
(a&p)
|
((p>((a&p)|a))>~((o&(~((p|~(a)))>a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(o)&(o>(~((a|(p>r)))>r)))
|
(a|r)
| 0 | 1 | 1 | 1 |
not entailment
|
(r&(p&((a>(p&~(p)))|a)))
|
(((r&a)&(o|a))|((~((p>o))>r)&p))
| 1 | 0 | 0 | 0 |
entailment
|
((o|o)&(r|p))
|
(~((((o&~(o))|r)>p))|o)
| 1 | 0 | 1 | 0 |
entailment
|
(r&(p&((a>(p&~(p)))|a)))
|
(~((((o&~(o))|r)>p))|o)
| 0 | 1 | 0 | 0 |
not entailment
|
((o|o)&(r|p))
|
(((r&a)&(o|a))|((~((p>o))>r)&p))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&(o&(a>~((r|a)))))
|
(~((((p&~(o))&a)|(((o>r)&r)&p)))>(r>a))
| 1 | 0 | 1 | 0 |
entailment
|
(~(a)&r)
|
~(~(r))
| 1 | 1 | 1 | 1 |
entailment
|
(p&(o&(a>~((r|a)))))
|
~(~(r))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(a)&r)
|
(~((((p&~(o))&a)|(((o>r)&r)&p)))>(r>a))
| 0 | 0 | 0 | 0 |
not entailment
|
(((p>a)&((a>(a&~(~(a))))&~((o>r))))&p)
|
(((p&p)&~(~(r)))>~(~(~((o|r)))))
| 1 | 1 | 1 | 0 |
entailment
|
~((r>o))
|
~((p&o))
| 1 | 1 | 0 | 0 |
entailment
|
(((p>a)&((a>(a&~(~(a))))&~((o>r))))&p)
|
~((p&o))
| 0 | 1 | 1 | 0 |
not entailment
|
~((r>o))
|
(((p&p)&~(~(r)))>~(~(~((o|r)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(((o>r)|~(a)))>p)|~(o)))
|
((a|a)|((r>r)&(~(((a|a)&r))>p)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~((a|(r>o)))))
|
((r>r)>~(((a&(((r>o)>o)|a))&((p>r)|p))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(((o>r)|~(a)))>p)|~(o)))
|
((r>r)>~(((a&(((r>o)>o)|a))&((p>r)|p))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(~((a|(r>o)))))
|
((a|a)|((r>r)&(~(((a|a)&r))>p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((o&o)|o)&~(r))
|
((o|(o&(a|r)))|(o&r))
| 1 | 0 | 0 | 0 |
entailment
|
(((p>a)|a)>~(~((p|p))))
|
(p|r)
| 1 | 1 | 0 | 0 |
entailment
|
(((o&o)|o)&~(r))
|
(p|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(((p>a)|a)>~(~((p|p))))
|
((o|(o&(a|r)))|(o&r))
| 0 | 1 | 0 | 0 |
not entailment
|
(((o>o)&(o&p))|o)
|
(a>(o|((p|a)&p)))
| 1 | 1 | 0 | 0 |
entailment
|
((o&a)|a)
|
((p|r)|a)
| 1 | 1 | 0 | 0 |
entailment
|
(((o>o)&(o&p))|o)
|
((p|r)|a)
| 0 | 1 | 0 | 0 |
not entailment
|
((o&a)|a)
|
(a>(o|((p|a)&p)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((o|p)&p)>r)>p)
|
((p|(p&o))&~(~((a|(o|(p|o))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((p|p)|((a>o)&a))>(p&p)))
|
(r>(r&a))
| 1 | 1 | 0 | 0 |
entailment
|
((((o|p)&p)>r)>p)
|
(r>(r&a))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((p|p)|((a>o)&a))>(p&p)))
|
((p|(p&o))&~(~((a|(o|(p|o))))))
| 0 | 0 | 1 | 1 |
not entailment
|
(p&p)
|
(p&((o>r)|~(r)))
| 1 | 0 | 0 | 0 |
entailment
|
(((a|(p|r))>o)&(a|r))
|
~(~((~(~(o))|~(a))))
| 1 | 0 | 1 | 1 |
entailment
|
(p&p)
|
~(~((~(~(o))|~(a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a|(p|r))>o)&(a|r))
|
(p&((o>r)|~(r)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((a|((p|a)>o)))
|
~((o&p))
| 1 | 1 | 1 | 0 |
entailment
|
(p&~((a|r)))
|
~((~(~((p>r)))|a))
| 1 | 0 | 1 | 1 |
entailment
|
~((a|((p|a)>o)))
|
~((~(~((p>r)))|a))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&~((a|r)))
|
~((o&p))
| 0 | 1 | 0 | 0 |
not entailment
|
((a|o)>p)
|
((o&o)>p)
| 1 | 1 | 1 | 1 |
entailment
|
((~((~(o)|r))>(p&a))&o)
|
(((r|p)|(o&r))>(((o&a)|r)>(a|o)))
| 1 | 0 | 1 | 0 |
entailment
|
((a|o)>p)
|
(((r|p)|(o&r))>(((o&a)|r)>(a|o)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((~(o)|r))>(p&a))&o)
|
((o&o)>p)
| 0 | 1 | 1 | 1 |
not entailment
|
~((p|r))
|
((r>o)>(r>(p|~(~((a&o))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((a>p)&r)|(o&r))
|
(p|(r|o))
| 1 | 1 | 1 | 1 |
entailment
|
~((p|r))
|
(p|(r|o))
| 0 | 1 | 0 | 0 |
not entailment
|
(((a>p)&r)|(o&r))
|
((r>o)>(r>(p|~(~((a&o))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((a|o))&r)
|
(((o>p)&p)>(a>o))
| 1 | 0 | 0 | 0 |
entailment
|
(a&(r|a))
|
(a&a)
| 1 | 1 | 1 | 1 |
entailment
|
(~((a|o))&r)
|
(a&a)
| 0 | 1 | 1 | 0 |
not entailment
|
(a&(r|a))
|
(((o>p)&p)>(a>o))
| 0 | 0 | 0 | 0 |
not entailment
|
(((o|r)&((p&(a&r))&p))&(o>(p>p)))
|
(a|((o|(a|~(~((((p|r)>a)|p)))))|~(r)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(~(a)))
|
(~(p)|(o|(~(a)&(r|p))))
| 1 | 0 | 0 | 0 |
entailment
|
(((o|r)&((p&(a&r))&p))&(o>(p>p)))
|
(~(p)|(o|(~(a)&(r|p))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(a)))
|
(a|((o|(a|~(~((((p|r)>a)|p)))))|~(r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&w)
|
(w|w)
| 1 | 1 | 1 | 1 |
entailment
|
((~(~((p|e)))&((w>q)&q))&(n|n))
|
(s>(q&n))
| 1 | 1 | 0 | 0 |
entailment
|
(q&w)
|
(s>(q&n))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~((p|e)))&((w>q)&q))&(n|n))
|
(w|w)
| 0 | 1 | 1 | 0 |
not entailment
|
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