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 |
|---|---|---|---|---|---|---|
(~(q)&n)
|
((p>n)|(q|a))
| 1 | 0 | 0 | 0 |
entailment
|
~((k>z))
|
((p>n)|(q|a))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(q)&n)
|
~((p&z))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(p)>q))
|
~((q&y))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((~(a)&((~((q|z))>y)&p))))
|
(~(((z&a)&a))|~(((a>r)|(q>n))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(p)>q))
|
(~(((z&a)&a))|~(((a>r)|(q>n))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(a)&((~((q|z))>y)&p))))
|
~((q&y))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((r>((q>y)&p))>r))&~(q))
|
(((a&(q&q))|((a>y)>a))>((r|q)>~(k)))
| 1 | 0 | 0 | 0 |
entailment
|
(z&((p|~(((q>y)>(n>n))))&p))
|
((r&y)|(p>z))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((r>((q>y)&p))>r))&~(q))
|
((r&y)|(p>z))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&((p|~(((q>y)>(n>n))))&p))
|
(((a&(q&q))|((a>y)>a))>((r|q)>~(k)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((k>z))
|
((z>q)&(q>k))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(n)>(a|(a|z))))
|
((~(~(n))>q)|~(((k>y)>(r&r))))
| 1 | 0 | 0 | 0 |
entailment
|
~((k>z))
|
((~(~(n))>q)|~(((k>y)>(r&r))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(n)>(a|(a|z))))
|
((z>q)&(q>k))
| 0 | 1 | 0 | 0 |
not entailment
|
((((~(r)&n)|(q|q))>q)&((z>p)&(r&(k&q))))
|
(q|(y|(p|q)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((n&(y>~(z)))))
|
(((a>z)|z)>n)
| 1 | 1 | 0 | 0 |
entailment
|
((((~(r)&n)|(q|q))>q)&((z>p)&(r&(k&q))))
|
(((a>z)|z)>n)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((n&(y>~(z)))))
|
(q|(y|(p|q)))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&(~(~(~(a)))&r))
|
(((~(r)|r)&r)>((~(q)>p)|(y>(k|a))))
| 1 | 0 | 0 | 0 |
entailment
|
~((p|z))
|
(~((y|q))>(((p&(a&z))&k)|(z>a)))
| 1 | 0 | 0 | 0 |
entailment
|
(k&(~(~(~(a)))&r))
|
(~((y|q))>(((p&(a&z))&k)|(z>a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((p|z))
|
(((~(r)|r)&r)>((~(q)>p)|(y>(k|a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&(n&(y|(y|k))))
|
((~(~(y))>p)>((k&r)|p))
| 1 | 0 | 0 | 0 |
entailment
|
~(k)
|
(~((~(k)>(n&k)))|((r&(y>z))&q))
| 1 | 0 | 0 | 0 |
entailment
|
(y&(n&(y|(y|k))))
|
(~((~(k)>(n&k)))|((r&(y>z))&q))
| 0 | 0 | 0 | 0 |
not entailment
|
~(k)
|
((~(~(y))>p)>((k&r)|p))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((((r>z)|r)&~(z)))&k)&(k>a))
|
((((r>(q|~(~(q))))&(a|(k>(z|q))))|z)|p)
| 1 | 0 | 0 | 0 |
entailment
|
~((((k&k)&(a|~((z|(k>q)))))|p))
|
((n>k)>((r&(k|~(r)))>(r&(p>(z>n)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~((((r>z)|r)&~(z)))&k)&(k>a))
|
((n>k)>((r&(k|~(r)))>(r&(p>(z>n)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((k&k)&(a|~((z|(k>q)))))|p))
|
((((r>(q|~(~(q))))&(a|(k>(z|q))))|z)|p)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((k>y)|n))
|
~(~(~(~(k))))
| 1 | 0 | 1 | 1 |
entailment
|
(q|q)
|
((~(p)|y)>(q|(r|q)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((k>y)|n))
|
((~(p)|y)>(q|(r|q)))
| 0 | 0 | 0 | 0 |
not entailment
|
(q|q)
|
~(~(~(~(k))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((k>(z|p))|y)>(k>y)))
|
(p|k)
| 1 | 1 | 1 | 1 |
entailment
|
(((y&q)&((y>z)|(y>n)))&n)
|
((n>q)|~(((a&q)>z)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((k>(z|p))|y)>(k>y)))
|
((n>q)|~(((a&q)>z)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((y&q)&((y>z)|(y>n)))&n)
|
(p|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((z|(p|y))&z)
|
((a|n)>((a>(a>z))|k))
| 1 | 0 | 0 | 0 |
entailment
|
((a&k)|r)
|
((n|(q&r))|(q>((~(y)>(~(p)>p))>a)))
| 1 | 0 | 0 | 0 |
entailment
|
((z|(p|y))&z)
|
((n|(q&r))|(q>((~(y)>(~(p)>p))>a)))
| 0 | 0 | 0 | 0 |
not entailment
|
((a&k)|r)
|
((a|n)>((a>(a>z))|k))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((y>z))&~(((z>~((y>(y|z))))&(z&z))))
|
((z|z)>~(~(((z|z)&y))))
| 1 | 1 | 1 | 1 |
entailment
|
(~((y&(y|y)))&z)
|
((z|(y|y))>~(y))
| 1 | 1 | 1 | 0 |
entailment
|
(~((y>z))&~(((z>~((y>(y|z))))&(z&z))))
|
((z|(y|y))>~(y))
| 0 | 1 | 1 | 1 |
not entailment
|
(~((y&(y|y)))&z)
|
((z|z)>~(~(((z|z)&y))))
| 0 | 0 | 1 | 0 |
not entailment
|
(y|~((~(~(z))>(~(z)&z))))
|
(((z|y)>~(~((~((y|y))>z))))>(~(y)>z))
| 1 | 0 | 1 | 0 |
entailment
|
~((~((z|(((z>y)&(z>z))>(y>y))))|z))
|
(y|(~(y)>(((z>(y|y))|(y&y))|y)))
| 1 | 1 | 1 | 1 |
entailment
|
(y|~((~(~(z))>(~(z)&z))))
|
(y|(~(y)>(((z>(y|y))|(y&y))|y)))
| 0 | 0 | 1 | 1 |
not entailment
|
~((~((z|(((z>y)&(z>z))>(y>y))))|z))
|
(((z|y)>~(~((~((y|y))>z))))>(~(y)>z))
| 0 | 0 | 1 | 1 |
not entailment
|
((z>z)&z)
|
(z&((z&y)>z))
| 1 | 0 | 0 | 0 |
entailment
|
((((y|y)&z)>y)>((y&y)&(z|y)))
|
((z&y)|((y>(y>y))>(y&(z|y))))
| 1 | 1 | 1 | 1 |
entailment
|
((z>z)&z)
|
((z&y)|((y>(y>y))>(y&(z|y))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((y|y)&z)>y)>((y&y)&(z|y)))
|
(z&((z&y)>z))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((y>y))|(y&y))
|
((z|y)&(y>y))
| 1 | 1 | 0 | 0 |
entailment
|
~(((y&(y|y))|z))
|
(z>~((z|y)))
| 1 | 1 | 1 | 1 |
entailment
|
(~((y>y))|(y&y))
|
(z>~((z|y)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((y&(y|y))|z))
|
((z|y)&(y>y))
| 0 | 1 | 1 | 0 |
not entailment
|
(y&~(~((((z&y)|(z&y))|~(((y&y)>y))))))
|
((((z&y)|z)|y)|z)
| 1 | 1 | 1 | 1 |
entailment
|
(y>~((y>y)))
|
~((~((~(((y&~(y))&z))>y))>y))
| 1 | 0 | 0 | 0 |
entailment
|
(y&~(~((((z&y)|(z&y))|~(((y&y)>y))))))
|
~((~((~(((y&~(y))&z))>y))>y))
| 0 | 1 | 1 | 0 |
not entailment
|
(y>~((y>y)))
|
((((z&y)|z)|y)|z)
| 0 | 0 | 0 | 0 |
not entailment
|
(y&(((z>z)&z)&y))
|
(~(z)>~(~(~(~((((y|y)&y)|z))))))
| 1 | 0 | 1 | 1 |
entailment
|
~(((z&z)&(z&y)))
|
~((z&y))
| 1 | 1 | 1 | 1 |
entailment
|
(y&(((z>z)&z)&y))
|
~((z&y))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((z&z)&(z&y)))
|
(~(z)>~(~(~(~((((y|y)&y)|z))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((z|z)&y)&y)
|
(((((z>y)>z)|~(~((z|y))))|(y&y))&(y>z))
| 1 | 0 | 1 | 0 |
entailment
|
~((((~(y)|z)&y)|~(((y>z)&(z>z)))))
|
~(((y>(y|z))&y))
| 1 | 1 | 1 | 1 |
entailment
|
(((z|z)&y)&y)
|
~(((y>(y|z))&y))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((~(y)|z)&y)|~(((y>z)&(z>z)))))
|
(((((z>y)>z)|~(~((z|y))))|(y&y))&(y>z))
| 0 | 0 | 1 | 1 |
not entailment
|
(z&y)
|
(((z&~(~(z)))|(z>y))>~(~(z)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((((z|y)|~(~((y&z))))|y)>z))
|
~(z)
| 1 | 1 | 1 | 1 |
entailment
|
(z&y)
|
~(z)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((((z|y)|~(~((y&z))))|y)>z))
|
(((z&~(~(z)))|(z>y))>~(~(z)))
| 0 | 1 | 1 | 0 |
not entailment
|
((z|(y>z))&~((z>y)))
|
((y|(z&((z>y)>z)))|((z>(z|z))&((y&y)|z)))
| 1 | 0 | 1 | 0 |
entailment
|
(~((y>(z&y)))|~(((y&y)|z)))
|
(z>~(~(y)))
| 1 | 1 | 1 | 1 |
entailment
|
((z|(y>z))&~((z>y)))
|
(z>~(~(y)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((y>(z&y)))|~(((y&y)|z)))
|
((y|(z&((z>y)>z)))|((z>(z|z))&((y&y)|z)))
| 0 | 0 | 1 | 0 |
not entailment
|
((y>y)&(z|y))
|
(y|z)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(((y|y)>y))|(y&(y&y))))
|
(~(~((y&y)))>(y>z))
| 1 | 1 | 0 | 0 |
entailment
|
((y>y)&(z|y))
|
(~(~((y&y)))>(y>z))
| 0 | 0 | 1 | 1 |
not entailment
|
~((~(((y|y)>y))|(y&(y&y))))
|
(y|z)
| 0 | 1 | 0 | 0 |
not entailment
|
(g&(e&(h>r)))
|
(~((x|h))>~(~(((t|e)&g))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(x)>((~((u|e))|t)>~(~((e&r))))))
|
(~((~(((t|z)&(a>u)))&(e|h)))|~(u))
| 1 | 1 | 0 | 0 |
entailment
|
(g&(e&(h>r)))
|
(~((~(((t|z)&(a>u)))&(e|h)))|~(u))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(x)>((~((u|e))|t)>~(~((e&r))))))
|
(~((x|h))>~(~(((t|e)&g))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((u>d)>(~((g>u))|a)))
|
(d|~(((~(u)>t)&g)))
| 1 | 1 | 0 | 0 |
entailment
|
~((a|~(((h|u)&u))))
|
~(~((((g&a)>e)&(u|z))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((u>d)>(~((g>u))|a)))
|
~(~((((g&a)>e)&(u|z))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((a|~(((h|u)&u))))
|
(d|~(((~(u)>t)&g)))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&((d|~((x>(u&(u|d)))))>x))
|
(d>(((g|t)>g)|a))
| 1 | 1 | 0 | 0 |
entailment
|
~((z>(h&g)))
|
(~(((z|x)|(h>(a&~(t)))))>~(g))
| 1 | 0 | 0 | 0 |
entailment
|
(g&((d|~((x>(u&(u|d)))))>x))
|
(~(((z|x)|(h>(a&~(t)))))>~(g))
| 0 | 0 | 0 | 0 |
not entailment
|
~((z>(h&g)))
|
(d>(((g|t)>g)|a))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t|e)|(d|(t|x))))
|
((g|~(d))|(a|r))
| 1 | 1 | 0 | 0 |
entailment
|
(h&d)
|
(d|x)
| 1 | 1 | 0 | 0 |
entailment
|
~(((t|e)|(d|(t|x))))
|
(d|x)
| 0 | 1 | 1 | 0 |
not entailment
|
(h&d)
|
((g|~(d))|(a|r))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&u)
|
(e>z)
| 1 | 1 | 0 | 0 |
entailment
|
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