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 |
|---|---|---|---|---|---|---|
~(((j|j)>~(~(g))))
|
(((g&(h>~(k)))|~(~((k&j))))|((z>g)>j))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(((((z|j)&g)|j)&~(k)))|g)))
|
(((g&(h>~(k)))|~(~((k&j))))|((z>g)>j))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((j|j)>~(~(g))))
|
((((z|g)&j)&((z&k)|(z&(z|g))))>(g|k))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((g&j)>(k&((~((g|k))>(~(k)|z))|g))))
|
((k&k)|j)
| 1 | 1 | 1 | 1 |
entailment
|
~(((j|z)|j))
|
((j&(j>j))>(g&(g&~(g))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((g&j)>(k&((~((g|k))>(~(k)|z))|g))))
|
((j&(j>j))>(g&(g&~(g))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((j|z)|j))
|
((k&k)|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((g&(((z|g)|(h|j))>~(z))))&(h>~(j)))
|
(((~((g>k))>j)>(((k|j)>h)&(k|g)))>(j>g))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(h))&(~(g)&(g|(z|h))))
|
~(g)
| 1 | 1 | 1 | 1 |
entailment
|
(~((g&(((z|g)|(h|j))>~(z))))&(h>~(j)))
|
~(g)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~(h))&(~(g)&(g|(z|h))))
|
(((~((g>k))>j)>(((k|j)>h)&(k|g)))>(j>g))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~((j&z))|j)&g)&(j&((k>g)|k)))
|
(((k>(g|j))&(j|~(z)))|g)
| 1 | 1 | 1 | 1 |
entailment
|
(h&(h>(k&(z&z))))
|
~(~(((z>h)>k)))
| 1 | 1 | 1 | 1 |
entailment
|
(((~((j&z))|j)&g)&(j&((k>g)|k)))
|
~(~(((z>h)>k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(h>(k&(z&z))))
|
(((k>(g|j))&(j|~(z)))|g)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((k&~(~(j)))))
|
((((h|g)&h)&h)>((z>g)>(z|k)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((g&~(((k&j)|~(j))))))
|
~((~(~(((h>z)|z)))&k))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((k&~(~(j)))))
|
~((~(~(((h>z)|z)))&k))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((g&~(((k&j)|~(j))))))
|
((((h|g)&h)&h)>((z>g)>(z|k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&(~(h)>((h|k)|j)))
|
(((~(k)>z)>k)&(((k&k)|j)|j))
| 1 | 0 | 0 | 0 |
entailment
|
(g&j)
|
(((j|(g&~(k)))|g)&(g|h))
| 1 | 0 | 0 | 0 |
entailment
|
(k&(~(h)>((h|k)|j)))
|
(((j|(g&~(k)))|g)&(g|h))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&j)
|
(((~(k)>z)>k)&(((k&k)|j)|j))
| 0 | 0 | 0 | 0 |
not entailment
|
((((j>j)|(z|z))>(((h&j)>(k>h))>g))&(g>j))
|
((((k>g)>z)&j)>(k|g))
| 1 | 1 | 1 | 0 |
entailment
|
((~(~(((z>z)|~(g))))&((h&j)&z))&(g>z))
|
((~(z)&~((g&j)))|(~(z)|h))
| 1 | 1 | 1 | 0 |
entailment
|
((((j>j)|(z|z))>(((h&j)>(k>h))>g))&(g>j))
|
((~(z)&~((g&j)))|(~(z)|h))
| 0 | 1 | 1 | 1 |
not entailment
|
((~(~(((z>z)|~(g))))&((h&j)&z))&(g>z))
|
((((k>g)>z)&j)>(k|g))
| 0 | 1 | 0 | 0 |
not entailment
|
((k>h)&((~(~(h))&k)&(k|g)))
|
~((~(((k>~(z))&h))&~(h)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((~(j)&(h>(k&g)))))
|
(j>(h>((g|j)>g)))
| 1 | 1 | 1 | 0 |
entailment
|
((k>h)&((~(~(h))&k)&(k|g)))
|
(j>(h>((g|j)>g)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~(j)&(h>(k&g)))))
|
~((~(((k>~(z))&h))&~(h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((z>g)&(k|(g&g)))&(((k|k)|g)>h))
|
(h&(h|(k&h)))
| 1 | 1 | 1 | 1 |
entailment
|
~((((g&~(((g>h)|k)))&(z&j))>(z>(k&j))))
|
(((~(j)|(j&~(~(z))))>((z>(z|k))&g))|j)
| 1 | 1 | 1 | 0 |
entailment
|
(((z>g)&(k|(g&g)))&(((k|k)|g)>h))
|
(((~(j)|(j&~(~(z))))>((z>(z|k))&g))|j)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((g&~(((g>h)|k)))&(z&j))>(z>(k&j))))
|
(h&(h|(k&h)))
| 0 | 1 | 1 | 0 |
not entailment
|
(j&(j|g))
|
(~((g|((g|((g&h)>h))>((h&j)|(g&z)))))>j)
| 1 | 0 | 0 | 0 |
entailment
|
(z|~(~((g&~(k)))))
|
(((g|h)>~((z>~((h&(k>z))))))|g)
| 1 | 0 | 0 | 0 |
entailment
|
(j&(j|g))
|
(((g|h)>~((z>~((h&(k>z))))))|g)
| 0 | 0 | 0 | 0 |
not entailment
|
(z|~(~((g&~(k)))))
|
(~((g|((g|((g&h)>h))>((h&j)|(g&z)))))>j)
| 0 | 0 | 0 | 0 |
not entailment
|
((z&(h&g))&((~((h|k))|z)|z))
|
(j>z)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((g&j)&g)&j)>z))
|
~(~(((j|j)&((k>h)|((g|k)&k)))))
| 1 | 0 | 0 | 0 |
entailment
|
((z&(h&g))&((~((h|k))|z)|z))
|
~(~(((j|j)&((k>h)|((g|k)&k)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((g&j)&g)&j)>z))
|
(j>z)
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(((~(k)&(k|k))|h))&z)&j)|(h&k))
|
((~(z)&(g>(h|j)))>((k|(z&g))&~((h&z))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((((k>z)>~((g&z)))&~(h))))
|
(((z|(k&(g&k)))&(j|~(~(g))))|~(h))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(((~(k)&(k|k))|h))&z)&j)|(h&k))
|
(((z|(k&(g&k)))&(j|~(~(g))))|~(h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((((k>z)>~((g&z)))&~(h))))
|
((~(z)&(g>(h|j)))>((k|(z&g))&~((h&z))))
| 0 | 0 | 0 | 0 |
not entailment
|
((j&g)&(k&z))
|
(~(g)>(((k&z)>z)&(h|~(z))))
| 1 | 0 | 0 | 0 |
entailment
|
~((k|(j>(((k&z)|h)&z))))
|
~(k)
| 1 | 1 | 1 | 1 |
entailment
|
((j&g)&(k&z))
|
~(k)
| 0 | 1 | 1 | 0 |
not entailment
|
~((k|(j>(((k&z)|h)&z))))
|
(~(g)>(((k&z)>z)&(h|~(z))))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&j)
|
((~(((k>(j>g))|j))|j)|j)
| 1 | 0 | 0 | 0 |
entailment
|
~(((j&((j&z)>j))|g))
|
(g>z)
| 1 | 1 | 1 | 1 |
entailment
|
(k&j)
|
(g>z)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((j&((j&z)>j))|g))
|
((~(((k>(j>g))|j))|j)|j)
| 0 | 0 | 0 | 0 |
not entailment
|
(g&(k&(j|j)))
|
(((j|z)>(k|g))|(g|(((j&(k>z))>j)&k)))
| 1 | 0 | 0 | 0 |
entailment
|
((g>j)&((z|~(j))&(j&z)))
|
(k>z)
| 1 | 1 | 0 | 0 |
entailment
|
(g&(k&(j|j)))
|
(k>z)
| 0 | 1 | 0 | 0 |
not entailment
|
((g>j)&((z|~(j))&(j&z)))
|
(((j|z)>(k|g))|(g|(((j&(k>z))>j)&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~(~(k))))&((j&k)&~(~(g))))
|
(j|z)
| 1 | 1 | 0 | 0 |
entailment
|
(~((z|h))&(k>j))
|
~(h)
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(~(~(k))))&((j&k)&~(~(g))))
|
~(h)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((z|h))&(k>j))
|
(j|z)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((z|g)&(g>(~(~(k))>(z>h)))))
|
~(~((((z|j)>g)|~(((k&z)&z)))))
| 1 | 1 | 0 | 0 |
entailment
|
(h|j)
|
(~((z&~(j)))|h)
| 1 | 0 | 0 | 0 |
entailment
|
~(((z|g)&(g>(~(~(k))>(z>h)))))
|
(~((z&~(j)))|h)
| 0 | 1 | 0 | 0 |
not entailment
|
(h|j)
|
~(~((((z|j)>g)|~(((k&z)&z)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((z>g)>((k>z)&h))|((g>k)&~((g|h))))
|
((g&g)>(h|j))
| 1 | 1 | 0 | 0 |
entailment
|
(k|~((k>(((k>g)|g)>~(~(z))))))
|
(k|~(h))
| 1 | 1 | 0 | 0 |
entailment
|
(((z>g)>((k>z)&h))|((g>k)&~((g|h))))
|
(k|~(h))
| 0 | 1 | 1 | 1 |
not entailment
|
(k|~((k>(((k>g)|g)>~(~(z))))))
|
((g&g)>(h|j))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(j))
|
((((z|z)&h)>h)>(~(h)>(k|j)))
| 1 | 0 | 0 | 0 |
entailment
|
(((k>k)|(h>z))&~((k|(~(z)>(j|z)))))
|
~((g&((j|k)&k)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(j))
|
~((g&((j|k)&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k>k)|(h>z))&~((k|(~(z)>(j|z)))))
|
((((z|z)&h)>h)>(~(h)>(k|j)))
| 0 | 1 | 1 | 0 |
not entailment
|
(m|(m|m))
|
(((~(m)|(m|(m|m)))>m)|m)
| 1 | 0 | 1 | 0 |
entailment
|
~(((m|(m&m))&m))
|
(~((m&(m&m)))&(m>m))
| 1 | 0 | 1 | 0 |
entailment
|
(m|(m|m))
|
(~((m&(m&m)))&(m>m))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((m|(m&m))&m))
|
(((~(m)|(m|(m|m)))>m)|m)
| 0 | 0 | 1 | 0 |
not entailment
|
(m&(m&m))
|
(((m>m)|(m>m))>m)
| 1 | 0 | 1 | 0 |
entailment
|
(~((m>m))|~(m))
|
~(((m&((m>m)|(m|m)))&(((m|m)|m)|m)))
| 1 | 0 | 1 | 1 |
entailment
|
(m&(m&m))
|
~(((m&((m>m)|(m|m)))&(((m|m)|m)|m)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((m>m))|~(m))
|
(((m>m)|(m>m))>m)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~((m&m)))&(m>(m|m)))
|
~((~(m)|~(((m|m)|((m|m)&(m>m))))))
| 1 | 0 | 1 | 1 |
entailment
|
~(m)
|
~(((m&m)&((m>(m>m))|~(((m|m)&m)))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(~((m&m)))&(m>(m|m)))
|
~(((m&m)&((m>(m>m))|~(((m|m)&m)))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(m)
|
~((~(m)|~(((m|m)|((m|m)&(m>m))))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((c&y)))
|
((l&c)>(a>y))
| 1 | 1 | 0 | 0 |
entailment
|
(((s|(c&~(l)))&(x&c))&l)
|
(~(((e|s)&c))|x)
| 1 | 1 | 0 | 0 |
entailment
|
~(~((c&y)))
|
(~(((e|s)&c))|x)
| 0 | 0 | 0 | 0 |
not entailment
|
(((s|(c&~(l)))&(x&c))&l)
|
((l&c)>(a>y))
| 0 | 1 | 0 | 0 |
not entailment
|
(s>a)
|
(((a|y)&(s&~(~((e>c)))))>a)
| 1 | 0 | 0 | 0 |
entailment
|
~(((y&e)>~(((y>c)|c))))
|
((a>o)|e)
| 1 | 1 | 0 | 0 |
entailment
|
(s>a)
|
((a>o)|e)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((y&e)>~(((y>c)|c))))
|
(((a|y)&(s&~(~((e>c)))))>a)
| 0 | 0 | 0 | 0 |
not entailment
|
(((a|l)|s)&~(((l>y)|e)))
|
(x>(c|(l|a)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((e|l)&~(~((x>c))))|s))
|
(((~(a)&((y>o)|e))>x)|~((l&c)))
| 1 | 0 | 0 | 0 |
entailment
|
(((a|l)|s)&~(((l>y)|e)))
|
(((~(a)&((y>o)|e))>x)|~((l&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((e|l)&~(~((x>c))))|s))
|
(x>(c|(l|a)))
| 0 | 1 | 0 | 0 |
not entailment
|
((a>x)&((l|(l&x))&~((l&s))))
|
(l|((e>c)|((e>~((x>e)))|y)))
| 1 | 1 | 0 | 0 |
entailment
|
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