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 |
|---|---|---|---|---|---|---|
(~(r)>r)
|
((t>t)&r)
| 1 | 1 | 0 | 0 |
entailment
|
(((q>(o|r))&(s|s))&(t&q))
|
((t>t)&r)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(r)>r)
|
(r>(o|q))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((r&s))|t))
|
~((t&s))
| 1 | 1 | 1 | 0 |
entailment
|
((q&~((((r>s)|s)&~(t))))&(t|(o|t)))
|
((q>o)>(r>q))
| 1 | 1 | 1 | 0 |
entailment
|
~((~((r&s))|t))
|
((q>o)>(r>q))
| 0 | 1 | 0 | 0 |
not entailment
|
((q&~((((r>s)|s)&~(t))))&(t|(o|t)))
|
~((t&s))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(q)&~(((t>((r>(s&(t>q)))&(o>t)))|o)))
|
~(~((((t&o)&(q|r))>~((o|o)))))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((q&(q&s))&~((s>r)))))
|
(q&q)
| 1 | 1 | 1 | 1 |
entailment
|
(~(q)&~(((t>((r>(s&(t>q)))&(o>t)))|o)))
|
(q&q)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((q&(q&s))&~((s>r)))))
|
~(~((((t&o)&(q|r))>~((o|o)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((o|~(~((r>q)))))
|
((s>s)&r)
| 1 | 1 | 0 | 0 |
entailment
|
~((((r|(t>(~(s)>t)))|((t&t)|o))&~(q)))
|
((s>q)&(q|~(((s&q)>q))))
| 1 | 1 | 1 | 0 |
entailment
|
~((o|~(~((r>q)))))
|
((s>q)&(q|~(((s&q)>q))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((r|(t>(~(s)>t)))|((t&t)|o))&~(q)))
|
((s>s)&r)
| 0 | 1 | 1 | 0 |
not entailment
|
((~(t)&q)&r)
|
(r>(q&q))
| 1 | 1 | 1 | 0 |
entailment
|
((t&~((o>s)))&(r&(s>s)))
|
((((r>t)&((r>q)>q))|(r|(s&q)))&(s>t))
| 1 | 0 | 0 | 0 |
entailment
|
((~(t)&q)&r)
|
((((r>t)&((r>q)>q))|(r|(s&q)))&(s>t))
| 0 | 0 | 0 | 0 |
not entailment
|
((t&~((o>s)))&(r&(s>s)))
|
(r>(q&q))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((s|((r|q)|(t>r))))|(t&t))
|
((o>t)|~(r))
| 1 | 1 | 0 | 0 |
entailment
|
(((s>s)&~(s))&~(((o&(s&s))&r)))
|
(s>(q&s))
| 1 | 1 | 0 | 0 |
entailment
|
(~((s|((r|q)|(t>r))))|(t&t))
|
(s>(q&s))
| 0 | 1 | 1 | 0 |
not entailment
|
(((s>s)&~(s))&~(((o&(s&s))&r)))
|
((o>t)|~(r))
| 0 | 1 | 0 | 0 |
not entailment
|
((s&q)&q)
|
(r|(s|t))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(o)|t))
|
((((s&t)>(q>o))|(t&(t&o)))|((q&t)&o))
| 1 | 0 | 0 | 0 |
entailment
|
((s&q)&q)
|
((((s&t)>(q>o))|(t&(t&o)))|((q&t)&o))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(o)|t))
|
(r|(s|t))
| 0 | 1 | 0 | 0 |
not entailment
|
((t|(s|t))&(r&q))
|
(t|s)
| 1 | 1 | 1 | 1 |
entailment
|
~(((((t|(r|(o&o)))|t)|(r&(o|s)))|(q|r)))
|
(o>~(((t|q)>(~((~(r)&o))>t))))
| 1 | 1 | 1 | 0 |
entailment
|
((t|(s|t))&(r&q))
|
(o>~(((t|q)>(~((~(r)&o))>t))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((t|(r|(o&o)))|t)|(r&(o|s)))|(q|r)))
|
(t|s)
| 0 | 1 | 1 | 0 |
not entailment
|
(((q&o)>(t&r))>(r&q))
|
((r>s)|q)
| 1 | 1 | 0 | 0 |
entailment
|
(t&((t|o)|(o|~(s))))
|
(t&t)
| 1 | 1 | 1 | 1 |
entailment
|
(((q&o)>(t&r))>(r&q))
|
(t&t)
| 0 | 1 | 1 | 0 |
not entailment
|
(t&((t|o)|(o|~(s))))
|
((r>s)|q)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((r&q)>((t&o)&r)))&(r&(((t&s)&q)|t)))
|
(r|~((o>~(q))))
| 1 | 1 | 1 | 0 |
entailment
|
~(((o>(q&q))>((s|(t|s))|o)))
|
~(~(((s|(t&~(r)))>~((s&q)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((r&q)>((t&o)&r)))&(r&(((t&s)&q)|t)))
|
~(~(((s|(t&~(r)))>~((s&q)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((o>(q&q))>((s|(t|s))|o)))
|
(r|~((o>~(q))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((o>o)>~(s)))
|
(~((r>s))>t)
| 1 | 1 | 0 | 0 |
entailment
|
((((s&q)>q)&r)&o)
|
(~(~((q>(r|q))))&(t>o))
| 1 | 0 | 0 | 0 |
entailment
|
~(((o>o)>~(s)))
|
(~(~((q>(r|q))))&(t>o))
| 0 | 0 | 0 | 0 |
not entailment
|
((((s&q)>q)&r)&o)
|
(~((r>s))>t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((o|(~(r)>s)))))
|
(~(~((o&s)))|~((o&(r|t))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(((q&(r|o))>r)))&((t|o)&o))
|
((o&o)&(t>(q>o)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~((o|(~(r)>s)))))
|
((o&o)&(t>(q>o)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(((q&(r|o))>r)))&((t|o)&o))
|
(~(~((o&s)))|~((o&(r|t))))
| 0 | 1 | 0 | 0 |
not entailment
|
((r>q)>((((s&r)&o)&s)&t))
|
((r|o)|((t|~(t))&(~(q)&(o&t))))
| 1 | 0 | 1 | 0 |
entailment
|
(o>~((s&s)))
|
(o>~(s))
| 1 | 1 | 1 | 1 |
entailment
|
((r>q)>((((s&r)&o)&s)&t))
|
(o>~(s))
| 0 | 1 | 1 | 0 |
not entailment
|
(o>~((s&s)))
|
((r|o)|((t|~(t))&(~(q)&(o&t))))
| 0 | 0 | 0 | 0 |
not entailment
|
((s>(q&s))&q)
|
((s|r)>q)
| 1 | 1 | 0 | 0 |
entailment
|
(t&o)
|
(s>~(~((o|t))))
| 1 | 0 | 0 | 0 |
entailment
|
((s>(q&s))&q)
|
(s>~(~((o|t))))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&o)
|
((s|r)>q)
| 0 | 0 | 0 | 0 |
not entailment
|
~((o|((r|r)|((s>q)>(~(q)|(s&q))))))
|
(((~(~(r))>((s>s)&t))|q)|((t|t)&(t|s)))
| 1 | 0 | 0 | 0 |
entailment
|
(o&s)
|
((t|(q>(o|s)))&o)
| 1 | 0 | 0 | 0 |
entailment
|
~((o|((r|r)|((s>q)>(~(q)|(s&q))))))
|
((t|(q>(o|s)))&o)
| 0 | 1 | 0 | 0 |
not entailment
|
(o&s)
|
(((~(~(r))>((s>s)&t))|q)|((t|t)&(t|s)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((~((s&s))|~((o>o))))|((t|o)|t)))
|
(((t|o)>s)&~(~((s|((s>o)|o)))))
| 1 | 1 | 1 | 0 |
entailment
|
(t&r)
|
(((o>s)&t)|t)
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~((s&s))|~((o>o))))|((t|o)|t)))
|
(((o>s)&t)|t)
| 0 | 1 | 1 | 0 |
not entailment
|
(t&r)
|
(((t|o)>s)&~(~((s|((s>o)|o)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(r)|o)>(o&q))|~(~((~(q)&(r|r)))))
|
((s>q)|(r&((o&s)|(r|r))))
| 1 | 1 | 0 | 0 |
entailment
|
~((r|(((r|s)&s)&(~(q)&(s&~(t))))))
|
~((~((s|(o|o)))&r))
| 1 | 1 | 0 | 0 |
entailment
|
(((~(r)|o)>(o&q))|~(~((~(q)&(r|r)))))
|
~((~((s|(o|o)))&r))
| 0 | 1 | 0 | 0 |
not entailment
|
~((r|(((r|s)&s)&(~(q)&(s&~(t))))))
|
((s>q)|(r&((o&s)|(r|r))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((x&(p&d))>(d>q)))
|
((q|(x&d))|p)
| 1 | 1 | 1 | 0 |
entailment
|
((d|((q|q)|w))&v)
|
(((v>q)&x)>(x>v))
| 1 | 1 | 0 | 0 |
entailment
|
~(((x&(p&d))>(d>q)))
|
(((v>q)&x)>(x>v))
| 0 | 1 | 0 | 0 |
not entailment
|
((d|((q|q)|w))&v)
|
((q|(x&d))|p)
| 0 | 1 | 0 | 0 |
not entailment
|
((w|(x&(((q|q)>(v|~((v|v))))|w)))&d)
|
(x>((d|((q&(d>v))|v))&((v&q)>((v|x)>v))))
| 1 | 0 | 1 | 0 |
entailment
|
~((w&q))
|
((w&q)>x)
| 1 | 1 | 0 | 0 |
entailment
|
((w|(x&(((q|q)>(v|~((v|v))))|w)))&d)
|
((w&q)>x)
| 0 | 1 | 1 | 0 |
not entailment
|
~((w&q))
|
(x>((d|((q&(d>v))|v))&((v&q)>((v|x)>v))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((p>d)>w)>w)&p)&((d>(d>v))&~((x>w))))
|
~(((p|x)&(~(x)|~(p))))
| 1 | 1 | 1 | 0 |
entailment
|
~((((w|d)>v)>(((d>w)&d)>(q&w))))
|
~(((q>(p>v))&(~((q&p))>~(w))))
| 1 | 1 | 0 | 0 |
entailment
|
(((((p>d)>w)>w)&p)&((d>(d>v))&~((x>w))))
|
~(((q>(p>v))&(~((q&p))>~(w))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((w|d)>v)>(((d>w)&d)>(q&w))))
|
~(((p|x)&(~(x)|~(p))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((((w&v)|((q&d)&w))|~((p|p)))&(p>v))&x)
|
(x|w)
| 1 | 1 | 1 | 1 |
entailment
|
(((q&v)>p)&(((q&p)|d)|d))
|
(q|(d&(d|~(w))))
| 1 | 1 | 0 | 0 |
entailment
|
(((((w&v)|((q&d)&w))|~((p|p)))&(p>v))&x)
|
(q|(d&(d|~(w))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((q&v)>p)&(((q&p)|d)|d))
|
(x|w)
| 0 | 1 | 0 | 0 |
not entailment
|
~((p>w))
|
~((d&(((d|(x|w))&(d|v))>w)))
| 1 | 0 | 0 | 0 |
entailment
|
((~((v&p))>(v|x))&(w&(w|w)))
|
(((p|p)&~((x|x)))>((q>~(q))|(v>w)))
| 1 | 0 | 0 | 0 |
entailment
|
~((p>w))
|
(((p|p)&~((x|x)))>((q>~(q))|(v>w)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((v&p))>(v|x))&(w&(w|w)))
|
~((d&(((d|(x|w))&(d|v))>w)))
| 0 | 1 | 0 | 0 |
not entailment
|
(w&p)
|
~(~((x>(w|p))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((d|w)|p)|((q&v)&w)))
|
(~((((x&d)>d)>p))|(~(d)>(v&(v&x))))
| 1 | 0 | 0 | 0 |
entailment
|
(w&p)
|
(~((((x&d)>d)>p))|(~(d)>(v&(v&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((d|w)|p)|((q&v)&w)))
|
~(~((x>(w|p))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(p)&w)
|
(x>(((p|w)&x)|(x&w)))
| 1 | 0 | 0 | 0 |
entailment
|
(p|~(v))
|
(~((((x|p)>(p>q))&v))|((q|w)&p))
| 1 | 0 | 0 | 0 |
entailment
|
(~(p)&w)
|
(~((((x|p)>(p>q))&v))|((q|w)&p))
| 0 | 0 | 0 | 0 |
not entailment
|
(p|~(v))
|
(x>(((p|w)&x)|(x&w)))
| 0 | 0 | 0 | 0 |
not entailment
|
((q&x)&((x&v)>~(~(p))))
|
((p|q)&q)
| 1 | 1 | 1 | 1 |
entailment
|
(v|w)
|
((x&(v|p))|((v|w)|(q&(x&v))))
| 1 | 0 | 0 | 0 |
entailment
|
((q&x)&((x&v)>~(~(p))))
|
((x&(v|p))|((v|w)|(q&(x&v))))
| 0 | 0 | 0 | 0 |
not entailment
|
(v|w)
|
((p|q)&q)
| 0 | 0 | 0 | 0 |
not entailment
|
~((w>(~((~((w&q))|d))>v)))
|
(q|p)
| 1 | 1 | 0 | 0 |
entailment
|
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