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)))>((~(p)|e)&e))
|
(z|~(((~((r&r))>p)>(e&(r|(e|p))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(p)>p)
|
((v>a)>(p|(((q|(q>a))&(~(v)|p))>f)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(a))&((q>(f>l))|p))&(p>f))
|
(l|((f|v)|~(~(((p>l)|(((p|l)&l)|l))))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(p)>p)
|
(l|((f|v)|~(~(((p>l)|(((p|l)&l)|l))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(a))&((q>(f>l))|p))&(p>f))
|
((v>a)>(p|(((q|(q>a))&(~(v)|p))>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((q&v)|a)|(~((p&f))|~(p))))&l)
|
(p&(f>l))
| 1 | 1 | 1 | 0 |
entailment
|
((((p|l)&(f|q))|p)&~((a|q)))
|
((q>~(l))|a)
| 1 | 1 | 1 | 0 |
entailment
|
(~((((q&v)|a)|(~((p&f))|~(p))))&l)
|
((q>~(l))|a)
| 0 | 1 | 1 | 0 |
not entailment
|
((((p|l)&(f|q))|p)&~((a|q)))
|
(p&(f>l))
| 0 | 1 | 1 | 0 |
not entailment
|
(p&((q>v)&(f|(p|q))))
|
(((v>l)>a)>(q|p))
| 1 | 1 | 0 | 0 |
entailment
|
~((((f>p)>l)|(p|l)))
|
(((a&a)|l)>~((l&p)))
| 1 | 1 | 0 | 0 |
entailment
|
(p&((q>v)&(f|(p|q))))
|
(((a&a)|l)>~((l&p)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((f>p)>l)|(p|l)))
|
(((v>l)>a)>(q|p))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((((~(q)>(q>a))>p)&q)&(~(q)>v))))
|
(v>q)
| 1 | 1 | 1 | 0 |
entailment
|
~((~((l|f))|l))
|
(~(f)>(~((f|l))|(f|v)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((((~(q)>(q>a))>p)&q)&(~(q)>v))))
|
(~(f)>(~((f|l))|(f|v)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((l|f))|l))
|
(v>q)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((f>~((v>(a|q))))|a))
|
((q&l)|f)
| 1 | 1 | 0 | 0 |
entailment
|
(((q|q)&(((a&a)&q)|f))&~((f|l)))
|
(l|(f>a))
| 1 | 1 | 1 | 0 |
entailment
|
~(((f>~((v>(a|q))))|a))
|
(l|(f>a))
| 0 | 1 | 0 | 0 |
not entailment
|
(((q|q)&(((a&a)&q)|f))&~((f|l)))
|
((q&l)|f)
| 0 | 1 | 1 | 0 |
not entailment
|
(((a>v)>p)&q)
|
((v>v)>((q|q)|v))
| 1 | 0 | 1 | 0 |
entailment
|
~((a|((a|(v|(q|p)))&v)))
|
(~(~(((v&p)>l)))|a)
| 1 | 1 | 0 | 0 |
entailment
|
(((a>v)>p)&q)
|
(~(~(((v&p)>l)))|a)
| 0 | 0 | 0 | 0 |
not entailment
|
~((a|((a|(v|(q|p)))&v)))
|
((v>v)>((q|q)|v))
| 0 | 1 | 1 | 0 |
not entailment
|
(q&~((l|v)))
|
~((~((p>(q|f)))&p))
| 1 | 0 | 0 | 0 |
entailment
|
(p|~(~(((p>(a>l))&~(~(p))))))
|
~(((~((p>~(l)))|((v>f)&a))&(~(p)&a)))
| 1 | 0 | 0 | 0 |
entailment
|
(q&~((l|v)))
|
~(((~((p>~(l)))|((v>f)&a))&(~(p)&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(p|~(~(((p>(a>l))&~(~(p))))))
|
~((~((p>(q|f)))&p))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((l&f)&a)>~(a))|((l&v)|~(f))))
|
(a|(v>p))
| 1 | 1 | 0 | 0 |
entailment
|
(q|p)
|
((v|q)|p)
| 1 | 0 | 0 | 0 |
entailment
|
~(((((l&f)&a)>~(a))|((l&v)|~(f))))
|
((v|q)|p)
| 0 | 1 | 0 | 0 |
not entailment
|
(q|p)
|
(a|(v>p))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&p)
|
((a|(l&v))|~(((a>~(~(v)))&(v|a))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(l)>~(f)))
|
~(~(~(~((l>((v|q)>a))))))
| 1 | 0 | 0 | 0 |
entailment
|
(l&p)
|
~(~(~(~((l>((v|q)>a))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(l)>~(f)))
|
((a|(l&v))|~(((a>~(~(v)))&(v|a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((p>f)|(v>v))&~((v&v)))
|
(a>(v>p))
| 1 | 1 | 0 | 0 |
entailment
|
(l|((f>(v>a))>(v&((~(p)|a)|q))))
|
(((p>l)>(l|(a>v)))|(v|p))
| 1 | 1 | 1 | 0 |
entailment
|
(((p>f)|(v>v))&~((v&v)))
|
(((p>l)>(l|(a>v)))|(v|p))
| 0 | 1 | 0 | 0 |
not entailment
|
(l|((f>(v>a))>(v&((~(p)|a)|q))))
|
(a>(v>p))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((p>~(f))&(p>f)))
|
(~(((a&((a|q)|p))|a))|((l&(l>v))>p))
| 1 | 0 | 0 | 0 |
entailment
|
(((q|p)|((a&p)>(q&f)))>f)
|
((q|(p&p))>(f|l))
| 1 | 1 | 0 | 0 |
entailment
|
~(((p>~(f))&(p>f)))
|
((q|(p&p))>(f|l))
| 0 | 1 | 0 | 0 |
not entailment
|
(((q|p)|((a&p)>(q&f)))>f)
|
(~(((a&((a|q)|p))|a))|((l&(l>v))>p))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((q&f))&p)
|
(~(~((l>p)))|(p|f))
| 1 | 0 | 0 | 0 |
entailment
|
((a&(q>q))&(~(p)&(f>l)))
|
(((f>p)&(f&a))|(~(p)|v))
| 1 | 1 | 0 | 0 |
entailment
|
(~((q&f))&p)
|
(((f>p)&(f&a))|(~(p)|v))
| 0 | 0 | 0 | 0 |
not entailment
|
((a&(q>q))&(~(p)&(f>l)))
|
(~(~((l>p)))|(p|f))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((l&(l|~(a)))&(((f|f)>f)|~((f|f)))))
|
(((v>v)>p)>((v&l)>(((l>l)>~((f|q)))&p)))
| 1 | 1 | 0 | 0 |
entailment
|
((p|a)&l)
|
(~((v&(f&f)))>((~(p)>(p>~(q)))&l))
| 1 | 0 | 0 | 0 |
entailment
|
~(((l&(l|~(a)))&(((f|f)>f)|~((f|f)))))
|
(~((v&(f&f)))>((~(p)>(p>~(q)))&l))
| 0 | 1 | 0 | 0 |
not entailment
|
((p|a)&l)
|
(((v>v)>p)>((v&l)>(((l>l)>~((f|q)))&p)))
| 0 | 0 | 0 | 0 |
not entailment
|
((f>~(((f>f)&q)))&((p>l)&a))
|
((~((l>a))>f)|((l|f)>(q&(f|l))))
| 1 | 0 | 1 | 0 |
entailment
|
~((a|~(((l&l)>p))))
|
~(~(((p&q)|~((a&q)))))
| 1 | 0 | 0 | 0 |
entailment
|
((f>~(((f>f)&q)))&((p>l)&a))
|
~(~(((p&q)|~((a&q)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((a|~(((l&l)>p))))
|
((~((l>a))>f)|((l|f)>(q&(f|l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((f>q)|(p&q))>f)
|
(((~(v)>l)>f)|(a>v))
| 1 | 0 | 0 | 0 |
entailment
|
((~(f)&(a|a))&((v|p)&(a|f)))
|
((~((f>(l&q)))>~((a&a)))&(a|((p&q)|f)))
| 1 | 0 | 0 | 0 |
entailment
|
(((f>q)|(p&q))>f)
|
((~((f>(l&q)))>~((a&a)))&(a|((p&q)|f)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(f)&(a|a))&((v|p)&(a|f)))
|
(((~(v)>l)>f)|(a>v))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~((a>v))>((((q|q)>f)|~(v))&v))))
|
(a>v)
| 1 | 1 | 1 | 1 |
entailment
|
(((f|a)|((p>(f|p))|f))&(p&a))
|
(((l|(a&a))>((q&a)|(f>l)))>(p|(l|p)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~((a>v))>((((q|q)>f)|~(v))&v))))
|
(((l|(a&a))>((q&a)|(f>l)))>(p|(l|p)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((f|a)|((p>(f|p))|f))&(p&a))
|
(a>v)
| 0 | 1 | 0 | 0 |
not entailment
|
((l&(~(~((l&((f|q)&a))))|a))&(l>v))
|
(v|(q&(l|(l|l))))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(p))
|
(p|(f>~(q)))
| 1 | 0 | 0 | 0 |
entailment
|
((l&(~(~((l&((f|q)&a))))|a))&(l>v))
|
(p|(f>~(q)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(p))
|
(v|(q&(l|(l|l))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((l>(((a|f)&a)>f)))
|
(~(~((a|p)))>a)
| 1 | 1 | 0 | 0 |
entailment
|
~((f>((l>f)&q)))
|
((l&p)>f)
| 1 | 1 | 0 | 0 |
entailment
|
~((l>(((a|f)&a)>f)))
|
((l&p)>f)
| 0 | 1 | 0 | 0 |
not entailment
|
~((f>((l>f)&q)))
|
(~(~((a|p)))>a)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(p)&(f&l))
|
((v&f)|f)
| 1 | 1 | 0 | 0 |
entailment
|
~(f)
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
(~(p)&(f&l))
|
~(f)
| 0 | 1 | 1 | 0 |
not entailment
|
~(f)
|
((v&f)|f)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((l|f)>(q>p)))
|
(((~(l)|v)&~(q))>f)
| 1 | 0 | 0 | 0 |
entailment
|
~(((v>(f|a))|l))
|
(((l|v)&v)&v)
| 1 | 1 | 1 | 0 |
entailment
|
~(((l|f)>(q>p)))
|
(((l|v)&v)&v)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((v>(f|a))|l))
|
(((~(l)|v)&~(q))>f)
| 0 | 0 | 0 | 0 |
not entailment
|
((v>((a|p)&(f|f)))>q)
|
((~((v|q))&(a|p))>a)
| 1 | 1 | 1 | 0 |
entailment
|
(v|(~((a&a))&~(v)))
|
(q>((a&f)>((a&v)|((p&l)&q))))
| 1 | 0 | 0 | 0 |
entailment
|
((v>((a|p)&(f|f)))>q)
|
(q>((a&f)>((a&v)|((p&l)&q))))
| 0 | 0 | 0 | 0 |
not entailment
|
(v|(~((a&a))&~(v)))
|
((~((v|q))&(a|p))>a)
| 0 | 1 | 0 | 0 |
not entailment
|
((q&f)&q)
|
(~(q)>q)
| 1 | 1 | 1 | 1 |
entailment
|
(v&l)
|
((p&((f&f)&~((q>p))))|v)
| 1 | 0 | 0 | 0 |
entailment
|
((q&f)&q)
|
((p&((f&f)&~((q>p))))|v)
| 0 | 0 | 0 | 0 |
not entailment
|
(v&l)
|
(~(q)>q)
| 0 | 0 | 0 | 0 |
not entailment
|
((r>p)&(x&((n&x)&s)))
|
(n>~(~(x)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((s>(r>k))|~(~((~(c)|p)))))
|
(p|r)
| 1 | 1 | 1 | 0 |
entailment
|
((r>p)&(x&((n&x)&s)))
|
(p|r)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((s>(r>k))|~(~((~(c)|p)))))
|
(n>~(~(x)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(c)
|
~((p&(~((c>x))&c)))
| 1 | 0 | 0 | 0 |
entailment
|
(n&h)
|
((~(~((n|k)))|(~(k)&p))|((x|a)|x))
| 1 | 0 | 0 | 0 |
entailment
|
~(c)
|
((~(~((n|k)))|(~(k)&p))|((x|a)|x))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&h)
|
~((p&(~((c>x))&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&((k&r)>s))
|
(((~(a)>a)&~(s))|~(~((~(n)|x))))
| 1 | 0 | 0 | 0 |
entailment
|
(r&(~((p>k))&((d>a)>r)))
|
(a>r)
| 1 | 1 | 1 | 1 |
entailment
|
(x&((k&r)>s))
|
(a>r)
| 0 | 1 | 0 | 0 |
not entailment
|
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