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&g)&d)|~((((r|d)>x)|(~(g)|j))))
|
~(~(((r|(x>(d|g)))|~(((g>j)&(r|t))))))
| 1 | 0 | 0 | 0 |
entailment
|
((((j>x)>t)&x)&(r|x))
|
~(~(((r|(x>(d|g)))|~(((g>j)&(r|t))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((r&g)&d)|~((((r|d)>x)|(~(g)|j))))
|
((t|j)|~(~(~((g&(r|x))))))
| 0 | 1 | 0 | 0 |
not entailment
|
(t&g)
|
((g>t)&(g|(x>t)))
| 1 | 0 | 0 | 0 |
entailment
|
((d&(t>g))&(j&x))
|
((x&j)|((j>t)>(g&r)))
| 1 | 0 | 0 | 0 |
entailment
|
(t&g)
|
((x&j)|((j>t)>(g&r)))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&(t>g))&(j&x))
|
((g>t)&(g|(x>t)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((x>d)|(~(r)|((t|d)&~(x)))))
|
((g&j)|r)
| 1 | 1 | 0 | 0 |
entailment
|
((j|g)&~(((j>d)>g)))
|
(j|(((g&g)|g)>t))
| 1 | 1 | 0 | 0 |
entailment
|
~(((x>d)|(~(r)|((t|d)&~(x)))))
|
(j|(((g&g)|g)>t))
| 0 | 1 | 0 | 0 |
not entailment
|
((j|g)&~(((j>d)>g)))
|
((g&j)|r)
| 0 | 1 | 0 | 0 |
not entailment
|
((r&(~(d)>d))&((g&(t&d))|t))
|
((~((((g&t)|(j>r))&d))&(x>j))>~(t))
| 1 | 0 | 0 | 0 |
entailment
|
~((x&x))
|
~((x&~(g)))
| 1 | 0 | 0 | 0 |
entailment
|
((r&(~(d)>d))&((g&(t&d))|t))
|
~((x&~(g)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((x&x))
|
((~((((g&t)|(j>r))&d))&(x>j))>~(t))
| 0 | 0 | 0 | 0 |
not entailment
|
((g>r)&~(r))
|
(~(~(~(((g|g)&((x|d)|t)))))|t)
| 1 | 0 | 0 | 0 |
entailment
|
((~(g)|j)&((g&(r>j))&~(r)))
|
(g|(d>t))
| 1 | 1 | 0 | 0 |
entailment
|
((g>r)&~(r))
|
(g|(d>t))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(g)|j)&((g&(r>j))&~(r)))
|
(~(~(~(((g|g)&((x|d)|t)))))|t)
| 0 | 0 | 0 | 0 |
not entailment
|
(((g&x)&g)&(((r&d)|(r>d))|((x&x)|(j&t))))
|
(~(~((~((d>~((t&x))))>x)))&~(~(x)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((~((g|x))&((x|x)|(r|d)))>j))
|
((r>((j>j)>(~(r)>(g|j))))>(g>r))
| 1 | 1 | 1 | 0 |
entailment
|
(((g&x)&g)&(((r&d)|(r>d))|((x&x)|(j&t))))
|
((r>((j>j)>(~(r)>(g|j))))>(g>r))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~((g|x))&((x|x)|(r|d)))>j))
|
(~(~((~((d>~((t&x))))>x)))&~(~(x)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((t&((t>x)&(r|t)))|x)&d)&(r|~((r&t))))
|
((j|g)>(j>((g&j)>d)))
| 1 | 1 | 0 | 0 |
entailment
|
((g&j)&x)
|
(g|(((g>r)>~((r>g)))&(x>j)))
| 1 | 0 | 0 | 0 |
entailment
|
((((t&((t>x)&(r|t)))|x)&d)&(r|~((r&t))))
|
(g|(((g>r)>~((r>g)))&(x>j)))
| 0 | 1 | 0 | 0 |
not entailment
|
((g&j)&x)
|
((j|g)>(j>((g&j)>d)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((t&g))|(g|t))&x)
|
(j>x)
| 1 | 1 | 0 | 0 |
entailment
|
((r&r)&~(t))
|
(((r&t)|(d>r))|(r|t))
| 1 | 0 | 0 | 0 |
entailment
|
((~((t&g))|(g|t))&x)
|
(((r&t)|(d>r))|(r|t))
| 0 | 1 | 0 | 0 |
not entailment
|
((r&r)&~(t))
|
(j>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~((m&h))>~((m>(z&h)))))>((h&h)|h))
|
~(~(((~(d)>h)|m)))
| 1 | 1 | 0 | 0 |
entailment
|
(((d>(m|~(d)))&d)|(z&(m>(h>d))))
|
((((z>h)&m)&d)|(h>(z|z)))
| 1 | 1 | 1 | 0 |
entailment
|
(~((~((m&h))>~((m>(z&h)))))>((h&h)|h))
|
((((z>h)&m)&d)|(h>(z|z)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((d>(m|~(d)))&d)|(z&(m>(h>d))))
|
~(~(((~(d)>h)|m)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~((~(~((m>d)))|(m>d)))))
|
(~(((~(m)&(m>z))>h))|(~(d)&(h|m)))
| 1 | 0 | 0 | 0 |
entailment
|
~((h|z))
|
(h>z)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~((~(~((m>d)))|(m>d)))))
|
(h>z)
| 0 | 1 | 0 | 0 |
not entailment
|
~((h|z))
|
(~(((~(m)&(m>z))>h))|(~(d)&(h|m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((z&(~(h)>h))>d))&~(m))
|
((((d>z)&(m&h))|z)>h)
| 1 | 1 | 1 | 0 |
entailment
|
(~(~(m))|m)
|
(m|((~(((h>m)|(m>z)))>h)>m))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((z&(~(h)>h))>d))&~(m))
|
(m|((~(((h>m)|(m>z)))>h)>m))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~(m))|m)
|
((((d>z)&(m&h))|z)>h)
| 0 | 0 | 0 | 0 |
not entailment
|
(((((z&~(z))>(h>d))&h)>(m&h))&~(~(z)))
|
(d|(((z|h)>h)>((~(~(h))&(d>z))&~(d))))
| 1 | 1 | 1 | 0 |
entailment
|
(~((((m>z)|d)|((m>(h|(z&h)))|h)))&(d|m))
|
((m&h)|~(~(((z>(z|h))>m))))
| 1 | 1 | 1 | 0 |
entailment
|
(((((z&~(z))>(h>d))&h)>(m&h))&~(~(z)))
|
((m&h)|~(~(((z>(z|h))>m))))
| 0 | 1 | 1 | 1 |
not entailment
|
(~((((m>z)|d)|((m>(h|(z&h)))|h)))&(d|m))
|
(d|(((z|h)>h)>((~(~(h))&(d>z))&~(d))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~(~((m|z)))&z)>(z&(d|(m|m)))))
|
~(m)
| 1 | 1 | 1 | 1 |
entailment
|
(m&d)
|
~(~((d&((z>((d>d)|(z|(z|d))))|(d|m)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(~((m|z)))&z)>(z&(d|(m|m)))))
|
~(~((d&((z>((d>d)|(z|(z|d))))|(d|m)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(m&d)
|
~(m)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~(h))&((~(m)>z)|z))
|
((m|(m&~(d)))|(h>z))
| 1 | 1 | 0 | 0 |
entailment
|
(d&(((h|d)|~(m))|((~(z)>m)&m)))
|
~((~(d)&(z&z)))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~(h))&((~(m)>z)|z))
|
~((~(d)&(z&z)))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(((h|d)|~(m))|((~(z)>m)&m)))
|
((m|(m&~(d)))|(h>z))
| 0 | 1 | 1 | 0 |
not entailment
|
(((z&(m|z))&z)&~(~(z)))
|
(d|(z|z))
| 1 | 1 | 0 | 0 |
entailment
|
(~((((d|h)>m)|d))&(~((h&d))|z))
|
((m&(z>~((m&z))))|(m>(m>d)))
| 1 | 1 | 1 | 0 |
entailment
|
(((z&(m|z))&z)&~(~(z)))
|
((m&(z>~((m&z))))|(m>(m>d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((d|h)>m)|d))&(~((h&d))|z))
|
(d|(z|z))
| 0 | 1 | 1 | 1 |
not entailment
|
~(h)
|
(h>((m|(m&(d>(~(d)|h))))>~((z>h))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(z&(z|m)))
|
(((~((m>m))|h)&(d>m))|z)
| 1 | 0 | 0 | 0 |
entailment
|
~(h)
|
(((~((m>m))|h)&(d>m))|z)
| 0 | 0 | 0 | 0 |
not entailment
|
(d&(z&(z|m)))
|
(h>((m|(m&(d>(~(d)|h))))>~((z>h))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((d>~(d))>((z>m)|d)))
|
(~(d)>(m>d))
| 1 | 1 | 1 | 0 |
entailment
|
(m&~((((h|z)>h)&((h|z)>m))))
|
((d|h)>~((h|h)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((d>~(d))>((z>m)|d)))
|
((d|h)>~((h|h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&~((((h|z)>h)&((h|z)>m))))
|
(~(d)>(m>d))
| 0 | 1 | 0 | 0 |
not entailment
|
~((m|((d>h)>h)))
|
~(h)
| 1 | 1 | 1 | 1 |
entailment
|
(((((h|d)&h)|(~(d)|~((z>z))))&(m&d))&h)
|
(d|(h&h))
| 1 | 1 | 1 | 1 |
entailment
|
~((m|((d>h)>h)))
|
(d|(h&h))
| 0 | 1 | 1 | 0 |
not entailment
|
(((((h|d)&h)|(~(d)|~((z>z))))&(m&d))&h)
|
~(h)
| 0 | 1 | 1 | 0 |
not entailment
|
((z|d)&d)
|
~(~(((~(z)&(~(~(m))&(d>z)))>~(h))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h&(m>(z>d)))>d))
|
((z&d)>m)
| 1 | 1 | 1 | 0 |
entailment
|
((z|d)&d)
|
((z&d)>m)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((h&(m>(z>d)))>d))
|
~(~(((~(z)&(~(~(m))&(d>z)))>~(h))))
| 0 | 0 | 1 | 0 |
not entailment
|
((m|z)>(d&z))
|
(z|(~(~(m))>(((h>~((d>h)))&d)>~(d))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(m)>~((~(h)>m)))
|
(~(((h&((((z>d)|z)>z)|m))|m))|~(~(m)))
| 1 | 0 | 0 | 0 |
entailment
|
((m|z)>(d&z))
|
(~(((h&((((z>d)|z)>z)|m))|m))|~(~(m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(m)>~((~(h)>m)))
|
(z|(~(~(m))>(((h>~((d>h)))&d)>~(d))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z&z)>(~((((m|h)|d)&d))|(h|h))))
|
~(((~((z&d))&m)|~((z|h))))
| 1 | 1 | 1 | 0 |
entailment
|
(z&h)
|
~(~(h))
| 1 | 0 | 1 | 1 |
entailment
|
~(((z&z)>(~((((m|h)|d)&d))|(h|h))))
|
~(~(h))
| 0 | 1 | 1 | 1 |
not entailment
|
(z&h)
|
~(((~((z&d))&m)|~((z|h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((d&z))&~((m>(((m&m)>m)>(h|(h&h))))))
|
((m|z)|(h>z))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~((d|(d&d))))&(~((z|m))&~(z)))
|
(((m|m)|m)>~((m>(~(((d|z)|d))>h))))
| 1 | 1 | 0 | 0 |
entailment
|
(~((d&z))&~((m>(((m&m)>m)>(h|(h&h))))))
|
(((m|m)|m)>~((m>(~(((d|z)|d))>h))))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~((d|(d&d))))&(~((z|m))&~(z)))
|
((m|z)|(h>z))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(((z&h)&h)))&d)
|
(d|z)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(m)|((h|h)&((~(~(h))>d)|d))))
|
(~(h)|m)
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(((z&h)&h)))&d)
|
(~(h)|m)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(m)|((h|h)&((~(~(h))>d)|d))))
|
(d|z)
| 0 | 1 | 0 | 0 |
not entailment
|
(z>~(((z|(m|m))>d)))
|
(~(((z&(m&z))&((z&d)&(h|h))))|~(h))
| 1 | 0 | 0 | 0 |
entailment
|
((~((~(z)&z))|z)>((z|~(h))&h))
|
(~(~((~(z)|(m>h))))&z)
| 1 | 1 | 0 | 0 |
entailment
|
(z>~(((z|(m|m))>d)))
|
(~(~((~(z)|(m>h))))&z)
| 0 | 0 | 0 | 0 |
not entailment
|
((~((~(z)&z))|z)>((z|~(h))&h))
|
(~(((z&(m&z))&((z&d)&(h|h))))|~(h))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&t)
|
~((~(((m|s)|f))&(k&k)))
| 1 | 0 | 0 | 0 |
entailment
|
(e|e)
|
(e&e)
| 1 | 1 | 1 | 1 |
entailment
|
(m&t)
|
(e&e)
| 0 | 1 | 0 | 0 |
not entailment
|
(e|e)
|
~((~(((m|s)|f))&(k&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&k)
|
((k|(l&((t>(l&k))&t)))|(~(l)>t))
| 1 | 0 | 0 | 0 |
entailment
|
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