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>t)>(o|~(~((((t|o)>q)&(o>t)))))))
|
(~(t)>t)
| 1 | 1 | 1 | 1 |
entailment
|
~((o|((((q|o)|o)|t)&t)))
|
(~(t)>t)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((t>t)>(o|~(~((((t|o)>q)&(o>t)))))))
|
((t>q)&(t>o))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((t&q)|o))&(~(~(~(~((q&o)))))>o))
|
(o>(q|~(~((t&t)))))
| 1 | 1 | 1 | 0 |
entailment
|
(~((t&o))&o)
|
~((~((o|(o&~(q))))|(q&~(o))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((t&q)|o))&(~(~(~(~((q&o)))))>o))
|
~((~((o|(o&~(q))))|(q&~(o))))
| 0 | 1 | 1 | 1 |
not entailment
|
(~((t&o))&o)
|
(o>(q|~(~((t&t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((q&o)&((o&t)>~(((q&~(~(t)))>t))))
|
(q|(o|q))
| 1 | 1 | 1 | 1 |
entailment
|
~((o|~(~((t>~((t&((o|q)>(q>o)))))))))
|
(t&(~(o)|(q&(~(o)&t))))
| 1 | 1 | 1 | 0 |
entailment
|
((q&o)&((o&t)>~(((q&~(~(t)))>t))))
|
(t&(~(o)|(q&(~(o)&t))))
| 0 | 1 | 1 | 1 |
not entailment
|
~((o|~(~((t>~((t&((o|q)>(q>o)))))))))
|
(q|(o|q))
| 0 | 1 | 1 | 0 |
not entailment
|
(t&q)
|
((t|q)&((o>~(q))>(q>(q|o))))
| 1 | 0 | 0 | 0 |
entailment
|
(q>~(((~(o)|~((o|t)))|(q>(t&t)))))
|
(((~((q|q))|o)|(q>(t>o)))|(o&(t|(t&o))))
| 1 | 0 | 1 | 1 |
entailment
|
(t&q)
|
(((~((q|q))|o)|(q>(t>o)))|(o&(t|(t&o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(q>~(((~(o)|~((o|t)))|(q>(t&t)))))
|
((t|q)&((o>~(q))>(q>(q|o))))
| 0 | 1 | 1 | 1 |
not entailment
|
((t|(q>(q>o)))&t)
|
(o|t)
| 1 | 1 | 1 | 1 |
entailment
|
(q&((t|q)|~(~(q))))
|
((t|(((o|o)&(o|o))>q))>(q|q))
| 1 | 0 | 0 | 0 |
entailment
|
((t|(q>(q>o)))&t)
|
((t|(((o|o)&(o|o))>q))>(q|q))
| 0 | 0 | 1 | 0 |
not entailment
|
(q&((t|q)|~(~(q))))
|
(o|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(q|((q>q)&(q|q)))
|
~((q>((((q|q)>(q|q))|q)&~(((q&q)|q)))))
| 1 | 0 | 1 | 1 |
entailment
|
(~(~(q))>(~((q&q))&q))
|
((q>(q|q))>~(q))
| 1 | 1 | 1 | 1 |
entailment
|
(q|((q>q)&(q|q)))
|
((q>(q|q))>~(q))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~(q))>(~((q&q))&q))
|
~((q>((((q|q)>(q|q))|q)&~(((q&q)|q)))))
| 0 | 0 | 1 | 1 |
not entailment
|
(((q|q)&(q|q))&(q|((q&q)>((q&q)>(q>q)))))
|
~(~(~(~((q&q)))))
| 1 | 1 | 1 | 1 |
entailment
|
~(((q>q)>((q&(q&(q>q)))|q)))
|
~(q)
| 1 | 1 | 1 | 1 |
entailment
|
(((q|q)&(q|q))&(q|((q&q)>((q&q)>(q>q)))))
|
~(q)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((q>q)>((q&(q&(q>q)))|q)))
|
~(~(~(~((q&q)))))
| 0 | 1 | 1 | 1 |
not entailment
|
(q&q)
|
((q>((q&(q&q))>q))&q)
| 1 | 0 | 1 | 0 |
entailment
|
~(((~(~((q&q)))&((q>q)|q))|(q|q)))
|
(~(~(~(q)))&((q|(q>~((q&q))))|(q&q)))
| 1 | 0 | 1 | 1 |
entailment
|
(q&q)
|
(~(~(~(q)))&((q|(q>~((q&q))))|(q&q)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((~(~((q&q)))&((q>q)|q))|(q|q)))
|
((q>((q&(q&q))>q))&q)
| 0 | 1 | 1 | 1 |
not entailment
|
((u&((u|u)&u))&u)
|
(((u&(u|u))|u)&u)
| 1 | 1 | 1 | 1 |
entailment
|
((u&u)>~((u|(u&(u&u)))))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
((u&((u|u)&u))&u)
|
~(u)
| 0 | 1 | 1 | 0 |
not entailment
|
((u&u)>~((u|(u&(u&u)))))
|
(((u&(u|u))|u)&u)
| 0 | 1 | 1 | 0 |
not entailment
|
((u|(u&u))&(u|u))
|
(((u>u)&(u|~(~(~((u>(~(u)&u)))))))&u)
| 1 | 0 | 1 | 0 |
entailment
|
~((((u&u)>u)&(((u|u)|u)|u)))
|
((~(u)&(((u|u)|u)>u))&(u|(u>(u|u))))
| 1 | 0 | 1 | 1 |
entailment
|
((u|(u&u))&(u|u))
|
((~(u)&(((u|u)|u)>u))&(u|(u>(u|u))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((u&u)>u)&(((u|u)|u)|u)))
|
(((u>u)&(u|~(~(~((u>(~(u)&u)))))))&u)
| 0 | 0 | 1 | 1 |
not entailment
|
((~(u)|~(((~((u>u))>u)>~((u>u)))))&u)
|
((u|((u|u)&u))|u)
| 1 | 1 | 1 | 1 |
entailment
|
(u>~(((u>(u&u))>((u&u)|u))))
|
(~(u)&(u>((u|(u|u))&u)))
| 1 | 1 | 1 | 1 |
entailment
|
((~(u)|~(((~((u>u))>u)>~((u>u)))))&u)
|
(~(u)&(u>((u|(u|u))&u)))
| 0 | 1 | 1 | 1 |
not entailment
|
(u>~(((u>(u&u))>((u&u)|u))))
|
((u|((u|u)&u))|u)
| 0 | 1 | 1 | 1 |
not entailment
|
(u&(u|u))
|
((u|u)&((u|~(u))&u))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(((~(u)>(u>u))&~(~(~((u|u)))))))
|
(((u>u)>(u>~((u&u))))|(u&~((u|(u|u)))))
| 1 | 1 | 1 | 1 |
entailment
|
(u&(u|u))
|
(((u>u)>(u>~((u&u))))|(u&~((u|(u|u)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(((~(u)>(u>u))&~(~(~((u|u)))))))
|
((u|u)&((u|~(u))&u))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(u)&((u|u)>(u&u)))
|
~((~((u>u))|u))
| 1 | 1 | 1 | 1 |
entailment
|
((((u>u)&u)|u)&~(~((u|u))))
|
(u|u)
| 1 | 1 | 1 | 1 |
entailment
|
(~(u)&((u|u)>(u&u)))
|
(u|u)
| 0 | 1 | 1 | 1 |
not entailment
|
((((u>u)&u)|u)&~(~((u|u))))
|
~((~((u>u))|u))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((((u>(u>u))>u)|((u&u)&((u|u)|u)))|u))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((u&(~((((u>u)&(u|u))>u))>(u&u)))))
|
((u|u)|((u>u)>((u|u)|~(~(u)))))
| 1 | 1 | 1 | 1 |
entailment
|
~(((((u>(u>u))>u)|((u&u)&((u|u)|u)))|u))
|
((u|u)|((u>u)>((u|u)|~(~(u)))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~((u&(~((((u>u)&(u|u))>u))>(u&u)))))
|
~(u)
| 0 | 1 | 1 | 1 |
not entailment
|
~((u&(u|~(u))))
|
(u>~((u|(u>~(u)))))
| 1 | 0 | 1 | 1 |
entailment
|
~((~(~((u&(u>u))))>~(u)))
|
(u|u)
| 1 | 1 | 1 | 1 |
entailment
|
~((u&(u|~(u))))
|
(u|u)
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(~((u&(u>u))))>~(u)))
|
(u>~((u|(u>~(u)))))
| 0 | 1 | 1 | 1 |
not entailment
|
((~(((u&w)|w))|~((h>((m>m)|w))))>u)
|
((~(d)|h)|((w>u)>u))
| 1 | 1 | 0 | 0 |
entailment
|
~((w|(m&t)))
|
(((w>m)&u)>~(~(((m&h)>~(w)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((u&w)|w))|~((h>((m>m)|w))))>u)
|
(((w>m)&u)>~(~(((m&h)>~(w)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((w|(m&t)))
|
((~(d)|h)|((w>u)>u))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(m)>d)>~(u))&(t&w))
|
((w&w)|(((h&u)&h)|d))
| 1 | 1 | 0 | 0 |
entailment
|
(u&m)
|
(u|h)
| 1 | 1 | 0 | 0 |
entailment
|
(((~(m)>d)>~(u))&(t&w))
|
(u|h)
| 0 | 1 | 0 | 0 |
not entailment
|
(u&m)
|
((w&w)|(((h&u)&h)|d))
| 0 | 0 | 0 | 0 |
not entailment
|
(d|(h&m))
|
~(~((~(((h|m)|((w>d)|u)))>t)))
| 1 | 0 | 0 | 0 |
entailment
|
((w|(t|h))>~((t&(t|d))))
|
((((u&t)|h)&~(h))>(w&u))
| 1 | 1 | 0 | 0 |
entailment
|
(d|(h&m))
|
((((u&t)|h)&~(h))>(w&u))
| 0 | 0 | 0 | 0 |
not entailment
|
((w|(t|h))>~((t&(t|d))))
|
~(~((~(((h|m)|((w>d)|u)))>t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(t)&u)
|
(~(w)|(u|~(m)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((t&((h>~(~(d)))>d))>(u&t))|(h|h)))
|
(((~(m)|(t>t))&~(~(d)))|(m>(m>t)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(t)&u)
|
(((~(m)|(t>t))&~(~(d)))|(m>(m>t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((t&((h>~(~(d)))>d))>(u&t))|(h|h)))
|
(~(w)|(u|~(m)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((h&d)&t))|(u&d)))
|
~(~(~(~((~((~(d)>u))>u)))))
| 1 | 0 | 1 | 0 |
entailment
|
(h&(((t>(u>t))|~((t&w)))>(m&m)))
|
((w>((m&d)&m))|((~(t)>(t>u))&(m|m)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((h&d)&t))|(u&d)))
|
((w>((m&d)&m))|((~(t)>(t>u))&(m|m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&(((t>(u>t))|~((t&w)))>(m&m)))
|
~(~(~(~((~((~(d)>u))>u)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((h&d)&(h>(m&d)))
|
(m|(d&w))
| 1 | 1 | 0 | 0 |
entailment
|
(~(t)&(((m&d)>w)>~((u>h))))
|
~(((d&m)&t))
| 1 | 1 | 1 | 0 |
entailment
|
((h&d)&(h>(m&d)))
|
~(((d&m)&t))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(t)&(((m&d)>w)>~((u>h))))
|
(m|(d&w))
| 0 | 1 | 1 | 0 |
not entailment
|
~((h>u))
|
(u>(t&(d|~(m))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(~(m)|m))
|
(~(~((m|((u|u)|m))))>t)
| 1 | 0 | 0 | 0 |
entailment
|
~((h>u))
|
(~(~((m|((u|u)|m))))>t)
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(~(m)|m))
|
(u>(t&(d|~(m))))
| 0 | 0 | 0 | 0 |
not entailment
|
((h&m)&(~(~(((d|u)>(h&u))))&~(~(d))))
|
((~(w)>t)>h)
| 1 | 1 | 0 | 0 |
entailment
|
(h>~(~(~(((~(w)>(t|~(h)))>h)))))
|
((h&(h&(t>u)))>w)
| 1 | 1 | 0 | 0 |
entailment
|
((h&m)&(~(~(((d|u)>(h&u))))&~(~(d))))
|
((h&(h&(t>u)))>w)
| 0 | 1 | 0 | 0 |
not entailment
|
(h>~(~(~(((~(w)>(t|~(h)))>h)))))
|
((~(w)>t)>h)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((t>w)>((u&h)|w)))
|
(((m&d)&(d|d))>(h|(t>w)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((w|t)))&((t>(t&t))>(~(w)&d)))
|
(d&(w>~(u)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((t>w)>((u&h)|w)))
|
(d&(w>~(u)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((w|t)))&((t>(t&t))>(~(w)&d)))
|
(((m&d)&(d|d))>(h|(t>w)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((t|w)|h)&(~((((u>w)|u)&u))|m)))
|
(~(t)|~(~((d|((u&w)>(m>d))))))
| 1 | 1 | 0 | 0 |
entailment
|
((m&u)&u)
|
(u|m)
| 1 | 1 | 1 | 1 |
entailment
|
~((((t|w)|h)&(~((((u>w)|u)&u))|m)))
|
(u|m)
| 0 | 1 | 1 | 0 |
not entailment
|
((m&u)&u)
|
(~(t)|~(~((d|((u&w)>(m>d))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((m|w))|~((w>~(w))))
|
((~((w|(m>h)))&t)>(u>~(t)))
| 1 | 0 | 0 | 0 |
entailment
|
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