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 |
---|---|---|---|---|---|---|
((m>a)&(~(j)&m))
|
((~(m)|~((m>(t&a))))>(~(p)>~(~(j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&(p>(r>p)))
|
(~((((~(j)|a)|t)>(j>p)))>(a&p))
| 0 | 0 | 0 | 0 |
not entailment
|
((m&a)&r)
|
~((a>~(((((t>r)|t)&(~(m)>~(m)))|a))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(j)&p)&~((r>j)))
|
~(~((p|~((j>j)))))
| 1 | 1 | 1 | 0 |
entailment
|
((m&a)&r)
|
~(~((p|~((j>j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(j)&p)&~((r>j)))
|
~((a>~(((((t>r)|t)&(~(m)>~(m)))|a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(((((r&t)&t)|(p>m))&m)&t))
|
((((j|t)|m)|(r&t))|((~(a)&(t>a))|(r|t)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((~(p)>t))))
|
~((((t>t)>(p>~((j|(m|j)))))>t))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(((((r&t)&t)|(p>m))&m)&t))
|
~((((t>t)>(p>~((j|(m|j)))))>t))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((~(p)>t))))
|
((((j|t)|m)|(r&t))|((~(a)&(t>a))|(r|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&(r&(r&r)))
|
(a>(t|~(~((r|m)))))
| 1 | 0 | 0 | 0 |
entailment
|
((a&p)&~(((m&~(a))|(m|(j|t)))))
|
(~((p>j))|p)
| 1 | 1 | 1 | 1 |
entailment
|
(r&(r&(r&r)))
|
(~((p>j))|p)
| 0 | 1 | 0 | 0 |
not entailment
|
((a&p)&~(((m&~(a))|(m|(j|t)))))
|
(a>(t|~(~((r|m)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&~(r))
|
(r|((a|m)|(t&(~(j)&p))))
| 1 | 0 | 0 | 0 |
entailment
|
((t|t)&t)
|
(a|((r|p)>(a|(t|r))))
| 1 | 0 | 0 | 0 |
entailment
|
(m&~(r))
|
(a|((r|p)>(a|(t|r))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t|t)&t)
|
(r|((a|m)|(t&(~(j)&p))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(((p|t)|(r>(t|j))))))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
(j&(p&m))
|
(((~(~(p))&m)>p)&p)
| 1 | 0 | 1 | 0 |
entailment
|
~(~(~(((p|t)|(r>(t|j))))))
|
(((~(~(p))&m)>p)&p)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&(p&m))
|
~(j)
| 0 | 1 | 1 | 0 |
not entailment
|
(((p|~(r))&~((r>a)))&((~((j|m))|p)>r))
|
(~(~(p))|(a>r))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((~(r)&a)&((t>a)|((t>a)&p)))))
|
(m>a)
| 1 | 1 | 0 | 0 |
entailment
|
(((p|~(r))&~((r>a)))&((~((j|m))|p)>r))
|
(m>a)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((~(r)&a)&((t>a)|((t>a)&p)))))
|
(~(~(p))|(a>r))
| 0 | 1 | 1 | 0 |
not entailment
|
(m&((a&~(j))&(~(a)>(a&t))))
|
(~((t|((m>~(p))>(r|r))))>a)
| 1 | 1 | 0 | 0 |
entailment
|
~(((r|(r>(m>j)))>m))
|
(m>(~((((j&m)&p)|t))>(~((p>(p&t)))>t)))
| 1 | 0 | 0 | 0 |
entailment
|
(m&((a&~(j))&(~(a)>(a&t))))
|
(m>(~((((j&m)&p)|t))>(~((p>(p&t)))>t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r|(r>(m>j)))>m))
|
(~((t|((m>~(p))>(r|r))))>a)
| 0 | 0 | 0 | 0 |
not entailment
|
((t&(m&a))&(t|t))
|
(((j>j)&~((r>m)))|(((p|(r|r))>m)|(a&a)))
| 1 | 0 | 0 | 0 |
entailment
|
((~((p|p))|(j|(t|t)))&p)
|
((~(r)&m)>p)
| 1 | 1 | 0 | 0 |
entailment
|
((t&(m&a))&(t|t))
|
((~(r)&m)>p)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((p|p))|(j|(t|t)))&p)
|
(((j>j)&~((r>m)))|(((p|(r|r))>m)|(a&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&m)
|
(~(t)>(~(((r>p)>r))>p))
| 1 | 0 | 0 | 0 |
entailment
|
(~(t)&~(j))
|
(((r&a)>~(t))|(m>((j&~(a))|(r>(j&r)))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&m)
|
(((r&a)>~(t))|(m>((j&~(a))|(r>(j&r)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(t)&~(j))
|
(~(t)>(~(((r>p)>r))>p))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&~((j&(p|(j&m)))))
|
(~((j|(r|(a&m))))|(j|r))
| 1 | 0 | 0 | 0 |
entailment
|
(((t&t)&((j&p)|((a&j)>p)))|(~((j&j))&t))
|
((~((t>~((a>j))))|~(j))&t)
| 1 | 1 | 1 | 1 |
entailment
|
(r&~((j&(p|(j&m)))))
|
((~((t>~((a>j))))|~(j))&t)
| 0 | 0 | 0 | 0 |
not entailment
|
(((t&t)&((j&p)|((a&j)>p)))|(~((j&j))&t))
|
(~((j|(r|(a&m))))|(j|r))
| 0 | 1 | 0 | 0 |
not entailment
|
(k|k)
|
((u&(~((z>d))|d))|(~(d)>k))
| 1 | 0 | 0 | 0 |
entailment
|
((g>g)&((u>i)&(((k>k)|~(g))>u)))
|
(u&(((k|i)|k)>i))
| 1 | 1 | 1 | 0 |
entailment
|
(k|k)
|
(u&(((k|i)|k)>i))
| 0 | 0 | 0 | 0 |
not entailment
|
((g>g)&((u>i)&(((k>k)|~(g))>u)))
|
((u&(~((z>d))|d))|(~(d)>k))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(i))|k)
|
(i|k)
| 1 | 1 | 1 | 1 |
entailment
|
(u|(i&~(((d>g)|i))))
|
((~(((d>i)>u))>k)|d)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(i))|k)
|
((~(((d>i)>u))>k)|d)
| 0 | 0 | 0 | 0 |
not entailment
|
(u|(i&~(((d>g)|i))))
|
(i|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((k>u)&k)
|
~((~((u|i))&(k&g)))
| 1 | 0 | 0 | 0 |
entailment
|
(d&z)
|
~((((u>u)|(g&d))>~(z)))
| 1 | 0 | 0 | 0 |
entailment
|
((k>u)&k)
|
~((((u>u)|(g&d))>~(z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&z)
|
~((~((u|i))&(k&g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&(i&(d&u)))
|
~(((~(~(~((z|u))))&(k&(g|i)))&g))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d>(u>u))&(u|((g>~(z))&(k&d)))))
|
((~(z)&(d&g))>(i>(k>~(k))))
| 1 | 1 | 0 | 0 |
entailment
|
(i&(i&(d&u)))
|
((~(z)&(d&g))>(i>(k>~(k))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((d>(u>u))&(u|((g>~(z))&(k&d)))))
|
~(((~(~(~((z|u))))&(k&(g|i)))&g))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((z&(((u&d)&(g>z))&(z>k)))))
|
(d&u)
| 1 | 1 | 1 | 1 |
entailment
|
(d&i)
|
(~(~((d>z)))>(i&((~(d)>k)>(g|d))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((z&(((u&d)&(g>z))&(z>k)))))
|
(~(~((d>z)))>(i&((~(d)>k)>(g|d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&i)
|
(d&u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(g)
|
((((d&~(k))|i)|~((z&k)))|(z>(g>u)))
| 1 | 0 | 0 | 0 |
entailment
|
((z&k)&(k|d))
|
(~((~(z)&~(i)))|g)
| 1 | 0 | 0 | 0 |
entailment
|
~(g)
|
(~((~(z)&~(i)))|g)
| 0 | 0 | 0 | 0 |
not entailment
|
((z&k)&(k|d))
|
((((d&~(k))|i)|~((z&k)))|(z>(g>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
((z|k)|z)
|
((z&(g>((d&d)>g)))|(i>k))
| 1 | 0 | 0 | 0 |
entailment
|
(d&((z>u)&(z|d)))
|
~(~(d))
| 1 | 1 | 1 | 1 |
entailment
|
((z|k)|z)
|
~(~(d))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&((z>u)&(z|d)))
|
((z&(g>((d&d)>g)))|(i>k))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((z&i)&(g>u))))
|
((~((u&(u>k)))>(z&k))|~(~((z|d))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((g&u)))
|
(d|(i>u))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((z&i)&(g>u))))
|
(d|(i>u))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((g&u)))
|
((~((u&(u>k)))>(z&k))|~(~((z|d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&(g&g))
|
(d|z)
| 1 | 1 | 0 | 0 |
entailment
|
(~(z)&(u&((z|g)>d)))
|
~(((~((i|z))|~(~(u)))&(z|z)))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(g&g))
|
~(((~((i|z))|~(~(u)))&(z|z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(z)&(u&((z|g)>d)))
|
(d|z)
| 0 | 1 | 1 | 0 |
not entailment
|
(z&u)
|
((((g|g)&(i&i))>k)|((u|d)|(g&~((g&i)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((z>z)&i)>((d&z)&(g|k))))|(i&k))
|
~(~((i|~((((z>g)&u)>(~(i)>g))))))
| 1 | 1 | 0 | 0 |
entailment
|
(z&u)
|
~(~((i|~((((z>g)&u)>(~(i)>g))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((z>z)&i)>((d&z)&(g|k))))|(i&k))
|
((((g|g)&(i&i))>k)|((u|d)|(g&~((g&i)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&g)
|
~(~(((u&((i|d)|(~(g)|i)))>(g&u))))
| 1 | 0 | 0 | 0 |
entailment
|
((z&u)&~(k))
|
~(((k|k)|(g&(u&k))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&g)
|
~(((k|k)|(g&(u&k))))
| 0 | 0 | 0 | 0 |
not entailment
|
((z&u)&~(k))
|
~(~(((u&((i|d)|(~(g)|i)))>(g&u))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((u&z))|~(((z&(g|k))|i))))
|
(((~((i>k))|(u|u))>d)|(u|d))
| 1 | 1 | 0 | 0 |
entailment
|
(((u|(i>z))&i)|(((i|(d&u))&(d|(z|d)))&i))
|
(((i|i)&u)|~((u&d)))
| 1 | 1 | 1 | 0 |
entailment
|
~((~((u&z))|~(((z&(g|k))|i))))
|
(((i|i)&u)|~((u&d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((u|(i>z))&i)|(((i|(d&u))&(d|(z|d)))&i))
|
(((~((i>k))|(u|u))>d)|(u|d))
| 0 | 1 | 0 | 0 |
not entailment
|
((d&~(((z&z)>(z&g))))&((z>z)>i))
|
((~((k&~(u)))>d)>(k>i))
| 1 | 1 | 0 | 0 |
entailment
|
~((g|z))
|
(i>~(z))
| 1 | 1 | 0 | 0 |
entailment
|
((d&~(((z&z)>(z&g))))&((z>z)>i))
|
(i>~(z))
| 0 | 1 | 1 | 0 |
not entailment
|
~((g|z))
|
((~((k&~(u)))>d)>(k>i))
| 0 | 0 | 0 | 0 |
not entailment
|
~(g)
|
((~(i)>(z|z))|~((((i|(u|(d>z)))&i)|g)))
| 1 | 0 | 0 | 0 |
entailment
|
~((u>(d>(g>i))))
|
(g&d)
| 1 | 1 | 1 | 1 |
entailment
|
~(g)
|
(g&d)
| 0 | 1 | 0 | 0 |
not entailment
|
~((u>(d>(g>i))))
|
((~(i)>(z|z))|~((((i|(u|(d>z)))&i)|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((u|(d&(z&(i|(u>d))))))
|
~(~(((u>d)|((g&i)&~(k)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((i|k)&(k>(z>k))))
|
(i>~(((d&i)&g)))
| 1 | 1 | 0 | 0 |
entailment
|
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