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&v)
|
((q>~(((q|w)>r)))|(v>~(v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((i>(q>~(~((q>(v>w))))))>(q|q)))&i)
|
((w|w)|(v|r))
| 0 | 1 | 0 | 0 |
not entailment
|
(q&~(((r|i)>i)))
|
(((r>q)|~(i))&((~(v)|r)|(r&q)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(w)&i)
|
~(w)
| 1 | 1 | 1 | 1 |
entailment
|
(q&~(((r|i)>i)))
|
~(w)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(w)&i)
|
(((r>q)|~(i))&((~(v)|r)|(r&q)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(p)
|
(c>(q>((p>m)|f)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(q))&(((a&(p>p))>a)|(q>f)))
|
(~(~(~(((f>(c>f))|f))))|q)
| 1 | 1 | 0 | 0 |
entailment
|
~(p)
|
(~(~(~(((f>(c>f))|f))))|q)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(q))&(((a&(p>p))>a)|(q>f)))
|
(c>(q>((p>m)|f)))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&((p|(q|c))>a))
|
(q>f)
| 1 | 1 | 1 | 1 |
entailment
|
~(((m>(f&q))>((~(~(c))|(f|f))&q)))
|
(((c>p)|~(p))&(q>(c>~(p))))
| 1 | 1 | 0 | 0 |
entailment
|
(f&((p|(q|c))>a))
|
(((c>p)|~(p))&(q>(c>~(p))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((m>(f&q))>((~(~(c))|(f|f))&q)))
|
(q>f)
| 0 | 1 | 1 | 1 |
not entailment
|
(m|((a>a)&~(((m|m)>m))))
|
((p>(c|f))|m)
| 1 | 1 | 0 | 0 |
entailment
|
(a|a)
|
(a|a)
| 1 | 1 | 1 | 1 |
entailment
|
(m|((a>a)&~(((m|m)>m))))
|
(a|a)
| 0 | 1 | 1 | 1 |
not entailment
|
(a|a)
|
((p>(c|f))|m)
| 0 | 0 | 0 | 0 |
not entailment
|
~((p|(~(f)&(q|c))))
|
~(((c&(p&a))&a))
| 1 | 1 | 0 | 0 |
entailment
|
~(((q>a)>m))
|
(((~((p|c))|(a&a))&m)>((q|q)|(m>a)))
| 1 | 0 | 0 | 0 |
entailment
|
~((p|(~(f)&(q|c))))
|
(((~((p|c))|(a&a))&m)>((q|q)|(m>a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((q>a)>m))
|
~(((c&(p&a))&a))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((p>(c|(q&q))))&(p&m))
|
((~(m)>~(a))>((c|(q|c))|((q>m)>p)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((p>a)>a))
|
~(p)
| 1 | 1 | 1 | 1 |
entailment
|
(~((p>(c|(q&q))))&(p&m))
|
~(p)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((p>a)>a))
|
((~(m)>~(a))>((c|(q|c))|((q>m)>p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&(c&(q&((a>m)>c))))
|
~(((((q>c)|f)>~(a))&((q&c)>~(q))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~((m>q))&~(p))&m)&(c|m))
|
~(~(~(q)))
| 1 | 1 | 1 | 1 |
entailment
|
(q&(c&(q&((a>m)>c))))
|
~(~(~(q)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((~((m>q))&~(p))&m)&(c|m))
|
~(((((q>c)|f)>~(a))&((q&c)>~(q))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&(~(~(q))|c))
|
((c|((a|c)&~(a)))|~((a>q)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((a>f)&(((c&q)&q)>(c>c))))
|
((p>f)>(a|(f|(q|a))))
| 1 | 1 | 0 | 0 |
entailment
|
(c&(~(~(q))|c))
|
((p>f)>(a|(f|(q|a))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((a>f)&(((c&q)&q)>(c>c))))
|
((c|((a|c)&~(a)))|~((a>q)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((((p&c)|(a>p))&~(p)))>(c&q)))
|
((((a|a)|c)|p)|~(~(((c|c)&m))))
| 1 | 1 | 0 | 0 |
entailment
|
((c&(c>m))|m)
|
((((a|(m&a))>(a|(c&m)))>~(q))>((p>m)&m))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((((p&c)|(a>p))&~(p)))>(c&q)))
|
((((a|(m&a))>(a|(c&m)))>~(q))>((p>m)&m))
| 0 | 0 | 0 | 0 |
not entailment
|
((c&(c>m))|m)
|
((((a|a)|c)|p)|~(~(((c|c)&m))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((a&a)|f)&a)&m)
|
(m|(q&p))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(a)|((a>p)|(c>~((c|c))))))
|
(((p>c)>m)>(((m>p)&m)>(c>(f>q))))
| 1 | 1 | 0 | 0 |
entailment
|
((((a&a)|f)&a)&m)
|
(((p>c)>m)>(((m>p)&m)>(c>(f>q))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(a)|((a>p)|(c>~((c|c))))))
|
(m|(q&p))
| 0 | 1 | 0 | 0 |
not entailment
|
~((m|c))
|
~((~((~(~(c))>(p&(c|c))))&~(m)))
| 1 | 0 | 0 | 0 |
entailment
|
((q|q)&(q>c))
|
(~(a)>c)
| 1 | 1 | 0 | 0 |
entailment
|
~((m|c))
|
(~(a)>c)
| 0 | 1 | 0 | 0 |
not entailment
|
((q|q)&(q>c))
|
~((~((~(~(c))>(p&(c|c))))&~(m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((a|(p&m))>q)>((a|(f|p))>c)))
|
(c>~(~((f&((a|a)|f)))))
| 1 | 1 | 1 | 1 |
entailment
|
~(((a&((m&q)>m))>(p|(a>m))))
|
~(~(~(m)))
| 1 | 1 | 1 | 1 |
entailment
|
~((((a|(p&m))>q)>((a|(f|p))>c)))
|
~(~(~(m)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((a&((m&q)>m))>(p|(a>m))))
|
(c>~(~((f&((a|a)|f)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((a&((p>(p>c))&p))|(q&a))&~(c))
|
(~(c)|q)
| 1 | 1 | 1 | 1 |
entailment
|
(p&(a|p))
|
~(~(((p&p)|p)))
| 1 | 0 | 1 | 1 |
entailment
|
(((a&((p>(p>c))&p))|(q&a))&~(c))
|
~(~(((p&p)|p)))
| 0 | 1 | 1 | 1 |
not entailment
|
(p&(a|p))
|
(~(c)|q)
| 0 | 1 | 0 | 0 |
not entailment
|
((c|p)&(m>((m&c)|q)))
|
((c|p)|f)
| 1 | 1 | 0 | 0 |
entailment
|
((m|q)&a)
|
((((c&p)|c)>p)>a)
| 1 | 0 | 0 | 0 |
entailment
|
((c|p)&(m>((m&c)|q)))
|
((((c&p)|c)>p)>a)
| 0 | 1 | 0 | 0 |
not entailment
|
((m|q)&a)
|
((c|p)|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(p>~((p&~((q&~((m&~((a>f)))))))))
|
(q|(f>~((p&~(~(((c>(q|c))>a)))))))
| 1 | 1 | 0 | 0 |
entailment
|
((m&f)&a)
|
(a|(p&q))
| 1 | 1 | 0 | 0 |
entailment
|
(p>~((p&~((q&~((m&~((a>f)))))))))
|
(a|(p&q))
| 0 | 1 | 1 | 0 |
not entailment
|
((m&f)&a)
|
(q|(f>~((p&~(~(((c>(q|c))>a)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&q)
|
(~((q>m))|(f>m))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((c|((p&m)|f))&a))&(c&(a>(q&a))))
|
(~(f)>~((a&~(((f|(q&c))&(q|a))))))
| 1 | 1 | 1 | 0 |
entailment
|
(a&q)
|
(~(f)>~((a&~(((f|(q&c))&(q|a))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((c|((p&m)|f))&a))&(c&(a>(q&a))))
|
(~((q>m))|(f>m))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(m)|a)&f)
|
(~((p|a))>f)
| 1 | 1 | 0 | 0 |
entailment
|
~((~((a&~(m)))>(((m>(q|a))|p)|(a&m))))
|
(p>((a>p)&c))
| 1 | 1 | 0 | 0 |
entailment
|
((~(m)|a)&f)
|
(p>((a>p)&c))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((a&~(m)))>(((m>(q|a))|p)|(a&m))))
|
(~((p|a))>f)
| 0 | 1 | 0 | 0 |
not entailment
|
~(f)
|
((((q&f)&p)&(((a>f)>q)|a))>~((f>a)))
| 1 | 0 | 0 | 0 |
entailment
|
(q&~(~(((q>m)&(c&((q|p)&p))))))
|
(~(~(q))&((c>p)&((~(a)|(p|m))&(q&p))))
| 1 | 0 | 0 | 0 |
entailment
|
~(f)
|
(~(~(q))&((c>p)&((~(a)|(p|m))&(q&p))))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&~(~(((q>m)&(c&((q|p)&p))))))
|
((((q&f)&p)&(((a>f)>q)|a))>~((f>a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&~((m|a)))
|
((f&(m>~(c)))|p)
| 1 | 0 | 0 | 0 |
entailment
|
(c|c)
|
(q>((c>f)>c))
| 1 | 0 | 0 | 0 |
entailment
|
(p&~((m|a)))
|
(q>((c>f)>c))
| 0 | 1 | 0 | 0 |
not entailment
|
(c|c)
|
((f&(m>~(c)))|p)
| 0 | 0 | 0 | 0 |
not entailment
|
(a&(q|f))
|
((~((c|~(m)))&~((p&q)))>(p>a))
| 1 | 0 | 0 | 0 |
entailment
|
~((q|(q|(a|(~(a)&~(p))))))
|
(~(p)>(p&((m&q)>(f>m))))
| 1 | 1 | 0 | 0 |
entailment
|
(a&(q|f))
|
(~(p)>(p&((m&q)>(f>m))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((q|(q|(a|(~(a)&~(p))))))
|
((~((c|~(m)))&~((p&q)))>(p>a))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&t)
|
((r|(((~(p)>a)>r)>(m|m)))>((r|t)|j))
| 1 | 0 | 0 | 0 |
entailment
|
(j|~(m))
|
(((j|p)&(p|a))>(m>(~((t|r))|j)))
| 1 | 0 | 0 | 0 |
entailment
|
(t&t)
|
(((j|p)&(p|a))>(m>(~((t|r))|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(j|~(m))
|
((r|(((~(p)>a)>r)>(m|m)))>((r|t)|j))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(((j>~(m))>(m>t)))))
|
((((p>m)|p)>m)|((p|(p>j))&r))
| 1 | 1 | 0 | 0 |
entailment
|
(((t|r)&((p|j)>j))&((j>(t|t))&(p|p)))
|
((j|t)&p)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(((j>~(m))>(m>t)))))
|
((j|t)&p)
| 0 | 1 | 0 | 0 |
not entailment
|
(((t|r)&((p|j)>j))&((j>(t|t))&(p|p)))
|
((((p>m)|p)>m)|((p|(p>j))&r))
| 0 | 1 | 0 | 0 |
not entailment
|
((a&a)&((j>t)>t))
|
((p>(r&a))|((j|~(((r&a)|(a|(a&r)))))>j))
| 1 | 0 | 0 | 0 |
entailment
|
(((r|t)|((m|j)>(t>j)))&r)
|
(~(((a|t)>m))>((~(r)&t)>(p&a)))
| 1 | 0 | 0 | 0 |
entailment
|
((a&a)&((j>t)>t))
|
(~(((a|t)>m))>((~(r)&t)>(p&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((r|t)|((m|j)>(t>j)))&r)
|
((p>(r&a))|((j|~(((r&a)|(a|(a&r)))))>j))
| 0 | 0 | 0 | 0 |
not entailment
|
((((a&p)|(p>m))|r)&((~(~((p&t)))>j)>t))
|
(((m>a)|((j>~(~(p)))>a))|(~(m)|t))
| 1 | 1 | 1 | 0 |
entailment
|
((p&j)&r)
|
((a|(r>((m|(m|(a>m)))>t)))>(m|((j|r)&r)))
| 1 | 0 | 0 | 0 |
entailment
|
((((a&p)|(p>m))|r)&((~(~((p&t)))>j)>t))
|
((a|(r>((m|(m|(a>m)))>t)))>(m|((j|r)&r)))
| 0 | 1 | 1 | 0 |
not entailment
|
((p&j)&r)
|
(((m>a)|((j>~(~(p)))>a))|(~(m)|t))
| 0 | 0 | 0 | 0 |
not entailment
|
((m>a)&(~(j)&m))
|
(~((((~(j)|a)|t)>(j>p)))>(a&p))
| 1 | 0 | 0 | 0 |
entailment
|
(j&(p>(r>p)))
|
((~(m)|~((m>(t&a))))>(~(p)>~(~(j))))
| 1 | 0 | 0 | 0 |
entailment
|
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