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 |
|---|---|---|---|---|---|---|
((t&m)&f)
|
(m|p)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(~((((f&l)>q)>~(u)))))>q))
|
((((p>(m|t))>(p>u))>x)|((l|q)|(u|q)))
| 1 | 1 | 0 | 0 |
entailment
|
((t&m)&f)
|
((((p>(m|t))>(p>u))>x)|((l|q)|(u|q)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(~((((f&l)>q)>~(u)))))>q))
|
(m|p)
| 0 | 1 | 0 | 0 |
not entailment
|
(o&~(~(((l|p)&l))))
|
(~(~(q))|((f|p)|o))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((t|p)|~(~(q))))>((o|t)|p)))
|
(n>~(q))
| 1 | 1 | 0 | 0 |
entailment
|
(o&~(~(((l|p)&l))))
|
(n>~(q))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((t|p)|~(~(q))))>((o|t)|p)))
|
(~(~(q))|((f|p)|o))
| 0 | 1 | 0 | 0 |
not entailment
|
(p&((f|((m>(u|l))>l))>((f|q)&p)))
|
((t>n)>((o>p)|((l|t)&o)))
| 1 | 1 | 0 | 0 |
entailment
|
~((m>(n>(t|(t&o)))))
|
(n&((o|p)|n))
| 1 | 1 | 0 | 0 |
entailment
|
(p&((f|((m>(u|l))>l))>((f|q)&p)))
|
(n&((o|p)|n))
| 0 | 1 | 0 | 0 |
not entailment
|
~((m>(n>(t|(t&o)))))
|
((t>n)>((o>p)|((l|t)&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((q|(n>p)))>(u>(o|p))))
|
(((n>(p&p))&((u>u)&o))>~((q&((m|x)>u))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((f>~(l))|((l&f)>((u|t)|t))))
|
(m|~(t))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((q|(n>p)))>(u>(o|p))))
|
(m|~(t))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((f>~(l))|((l&f)>((u|t)|t))))
|
(((n>(p&p))&((u>u)&o))>~((q&((m|x)>u))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~(((m&l)>(l>(u|(o&o)))))))&(p|m))
|
~((~(p)&u))
| 1 | 1 | 1 | 1 |
entailment
|
(x&q)
|
~((q>~(q)))
| 1 | 0 | 1 | 1 |
entailment
|
(~(~(~(((m&l)>(l>(u|(o&o)))))))&(p|m))
|
~((q>~(q)))
| 0 | 1 | 0 | 0 |
not entailment
|
(x&q)
|
~((~(p)&u))
| 0 | 0 | 0 | 0 |
not entailment
|
(m|~(((((u>n)&n)>m)&~(u))))
|
(~((~(((q|o)|n))>u))>(q|(t>m)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((u>o)&(o&(f>f))))>(n|x)))
|
((x>o)|(x&~(((((p|o)>t)&t)&t))))
| 1 | 1 | 0 | 0 |
entailment
|
(m|~(((((u>n)&n)>m)&~(u))))
|
((x>o)|(x&~(((((p|o)>t)&t)&t))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((u>o)&(o&(f>f))))>(n|x)))
|
(~((~(((q|o)|n))>u))>(q|(t>m)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((l>p)&m)&l)
|
((m|(q|p))|~(~(((n|n)>(t&p)))))
| 1 | 0 | 0 | 0 |
entailment
|
((x&x)&u)
|
((q&m)|(f|(n|u)))
| 1 | 0 | 0 | 0 |
entailment
|
(((l>p)&m)&l)
|
((q&m)|(f|(n|u)))
| 0 | 0 | 0 | 0 |
not entailment
|
((x&x)&u)
|
((m|(q|p))|~(~(((n|n)>(t&p)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&~(l))
|
(n|(p|p))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((p&p)|(o>(m&q))))>(f|~(q))))
|
(p>~(~(~((x>f)))))
| 1 | 1 | 0 | 0 |
entailment
|
(p&~(l))
|
(p>~(~(~((x>f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((p&p)|(o>(m&q))))>(f|~(q))))
|
(n|(p|p))
| 0 | 1 | 0 | 0 |
not entailment
|
((((n>p)&u)&m)&(((u>o)&o)>(x>p)))
|
((n>m)|(~(~(~(((f&o)>(t|l)))))>p))
| 1 | 0 | 0 | 0 |
entailment
|
(o&~((x&o)))
|
((f&u)>o)
| 1 | 1 | 0 | 0 |
entailment
|
((((n>p)&u)&m)&(((u>o)&o)>(x>p)))
|
((f&u)>o)
| 0 | 1 | 0 | 0 |
not entailment
|
(o&~((x&o)))
|
((n>m)|(~(~(~(((f&o)>(t|l)))))>p))
| 0 | 0 | 0 | 0 |
not entailment
|
((l&p)&((l&~(f))&(q&q)))
|
(n|~(~((~(~((x|n)))|l))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((x&(n>q))|~((m|(m&(l&l))))))
|
(((f>n)|f)&((t>m)|x))
| 1 | 1 | 0 | 0 |
entailment
|
((l&p)&((l&~(f))&(q&q)))
|
(((f>n)|f)&((t>m)|x))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((x&(n>q))|~((m|(m&(l&l))))))
|
(n|~(~((~(~((x|n)))|l))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((n|~(((t&n)>p)))>(p&(u&o)))&((o&n)&f))
|
(x|((u>(t>f))|m))
| 1 | 1 | 0 | 0 |
entailment
|
(~((l&o))&q)
|
(~(f)|q)
| 1 | 1 | 0 | 0 |
entailment
|
(((n|~(((t&n)>p)))>(p&(u&o)))&((o&n)&f))
|
(~(f)|q)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((l&o))&q)
|
(x|((u>(t>f))|m))
| 0 | 0 | 0 | 0 |
not entailment
|
((q&n)&p)
|
((((p&(u>m))|t)|((u>x)>~(~(u))))|t)
| 1 | 0 | 0 | 0 |
entailment
|
((((p>(u&(u>x)))>x)>~((p|(q&x))))&(q&o))
|
~(((((f|n)|(o&~((m>~(o)))))&m)&p))
| 1 | 1 | 0 | 0 |
entailment
|
((q&n)&p)
|
~(((((f|n)|(o&~((m>~(o)))))&m)&p))
| 0 | 0 | 0 | 0 |
not entailment
|
((((p>(u&(u>x)))>x)>~((p|(q&x))))&(q&o))
|
((((p&(u>m))|t)|((u>x)>~(~(u))))|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(o&(((m&f)&u)>~((m&n))))
|
(((x|p)|~((p|n)))>o)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((m|o)>q)>(n&x))|(u>(n|x))))
|
(~(t)|(m|u))
| 1 | 1 | 0 | 0 |
entailment
|
(o&(((m&f)&u)>~((m&n))))
|
(~(t)|(m|u))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((m|o)>q)>(n&x))|(u>(n|x))))
|
(((x|p)|~((p|n)))>o)
| 0 | 1 | 0 | 0 |
not entailment
|
(((n|n)&~((x>q)))&~(~(o)))
|
(((q|q)>~((p|t)))>((o>(n>(x|m)))|(q&x)))
| 1 | 0 | 0 | 0 |
entailment
|
~((u>l))
|
((u&(u|(x>p)))|(p>~((m>~(n)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((n|n)&~((x>q)))&~(~(o)))
|
((u&(u|(x>p)))|(p>~((m>~(n)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((u>l))
|
(((q|q)>~((p|t)))>((o>(n>(x|m)))|(q&x)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(x)&(u&(~(m)&(~(~(n))>u))))
|
(((m|(p>o))|u)|u)
| 1 | 1 | 0 | 0 |
entailment
|
(f>(~((o|~((l&o))))&u))
|
((t|f)>(x|(~((u&~((f|n))))>(f>q))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(x)&(u&(~(m)&(~(~(n))>u))))
|
((t|f)>(x|(~((u&~((f|n))))>(f>q))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f>(~((o|~((l&o))))&u))
|
(((m|(p>o))|u)|u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((t|p)>~(~((x|(p|~(~(m))))))))
|
~(~((m>o)))
| 1 | 1 | 0 | 0 |
entailment
|
(n&(((l>(l>o))|(l&n))&x))
|
(n|(x|(q&(u&q))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((t|p)>~(~((x|(p|~(~(m))))))))
|
(n|(x|(q&(u&q))))
| 0 | 1 | 0 | 0 |
not entailment
|
(n&(((l>(l>o))|(l&n))&x))
|
~(~((m>o)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((q>(n>t))&x)|(x>o))&(o&x))
|
(~(o)>(u|m))
| 1 | 1 | 0 | 0 |
entailment
|
(q>~(((~(n)|~(p))|(l|((n&(p>x))>x)))))
|
~(((~(~(t))>~((l&q)))>~((l>l))))
| 1 | 1 | 0 | 0 |
entailment
|
((((q>(n>t))&x)|(x>o))&(o&x))
|
~(((~(~(t))>~((l&q)))>~((l>l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(q>~(((~(n)|~(p))|(l|((n&(p>x))>x)))))
|
(~(o)>(u|m))
| 0 | 1 | 0 | 0 |
not entailment
|
((q&((q|f)>n))&(o&m))
|
(f|(n|o))
| 1 | 1 | 1 | 0 |
entailment
|
((~(~(t))>q)>(((l>q)>(u>f))&x))
|
(x|(p|(t|~(q))))
| 1 | 1 | 0 | 0 |
entailment
|
((q&((q|f)>n))&(o&m))
|
(x|(p|(t|~(q))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(t))>q)>(((l>q)>(u>f))&x))
|
(f|(n|o))
| 0 | 1 | 0 | 0 |
not entailment
|
((p&((m>(p>p))&m))|m)
|
((~(p)&(~(p)&~(p)))>m)
| 1 | 0 | 1 | 1 |
entailment
|
((m>p)&(~(l)>l))
|
(~(p)>l)
| 1 | 1 | 1 | 1 |
entailment
|
((p&((m>(p>p))&m))|m)
|
(~(p)>l)
| 0 | 1 | 0 | 0 |
not entailment
|
((m>p)&(~(l)>l))
|
((~(p)&(~(p)&~(p)))>m)
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(p))
|
(p|(((m&m)&~(p))&p))
| 1 | 0 | 0 | 0 |
entailment
|
(m&(p|(l|l)))
|
(((~(l)|l)>((l|m)|(l|l)))&((l>(l&m))&m))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(p))
|
(((~(l)|l)>((l|m)|(l|l)))&((l>(l&m))&m))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&(p|(l|l)))
|
(p|(((m&m)&~(p))&p))
| 0 | 0 | 1 | 0 |
not entailment
|
(m|~(((m&(p>(m|m)))>p)))
|
((l|p)|((p>~(m))>m))
| 1 | 1 | 0 | 0 |
entailment
|
(~(l)&(m>((l>(l|m))&l)))
|
((m|m)>((l>m)>l))
| 1 | 1 | 1 | 1 |
entailment
|
(m|~(((m&(p>(m|m)))>p)))
|
((m|m)>((l>m)>l))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(l)&(m>((l>(l|m))&l)))
|
((l|p)|((p>~(m))>m))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((l|p)>((m|l)|l)))
|
((l>(~(p)|(m|m)))>((l|((m>m)>p))&p))
| 1 | 0 | 1 | 0 |
entailment
|
~((m>(m&(m>p))))
|
(~(m)>((l&p)&l))
| 1 | 1 | 0 | 0 |
entailment
|
~(((l|p)>((m|l)|l)))
|
(~(m)>((l&p)&l))
| 0 | 1 | 1 | 0 |
not entailment
|
~((m>(m&(m>p))))
|
((l>(~(p)|(m|m)))>((l|((m>m)>p))&p))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&p)
|
(p|m)
| 1 | 1 | 0 | 0 |
entailment
|
((l|~(p))&~(l))
|
~(l)
| 1 | 1 | 1 | 1 |
entailment
|
(p&p)
|
~(l)
| 0 | 1 | 0 | 0 |
not entailment
|
((l|~(p))&~(l))
|
(p|m)
| 0 | 1 | 0 | 0 |
not entailment
|
(((l|(m>m))>p)&((l>l)&~((p&l))))
|
(p&((m&((((l|p)|p)>l)&(l&l)))>(m>l)))
| 1 | 0 | 1 | 1 |
entailment
|
((m&l)|(l&(p&l)))
|
((p>(~((p>p))|l))|m)
| 1 | 0 | 1 | 0 |
entailment
|
(((l|(m>m))>p)&((l>l)&~((p&l))))
|
((p>(~((p>p))|l))|m)
| 0 | 1 | 1 | 1 |
not entailment
|
((m&l)|(l&(p&l)))
|
(p&((m&((((l|p)|p)>l)&(l&l)))>(m>l)))
| 0 | 0 | 1 | 0 |
not entailment
|
(p&l)
|
((p>~(~((p&l))))|m)
| 1 | 0 | 0 | 0 |
entailment
|
~(((l&l)|m))
|
~(((m>(m|p))&m))
| 1 | 0 | 0 | 0 |
entailment
|
(p&l)
|
~(((m>(m|p))&m))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((l&l)|m))
|
((p>~(~((p&l))))|m)
| 0 | 0 | 0 | 0 |
not entailment
|
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