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 |
|---|---|---|---|---|---|---|
(~(~((d|d)))|(((o>d)&d)&o))
|
((o|d)&o)
| 0 | 1 | 1 | 1 |
not entailment
|
~((o>((d|o)&~(((o|d)|o)))))
|
(((o|(o|d))&d)|~((((d|~(~(d)))&d)|o)))
| 0 | 0 | 1 | 1 |
not entailment
|
(~(q)&~(((r&n)>q)))
|
((w|((w&q)|(t&r)))>((e|w)>(q|((q|n)|n))))
| 1 | 0 | 0 | 0 |
entailment
|
(e&~(t))
|
((e|~(k))|w)
| 1 | 0 | 0 | 0 |
entailment
|
(~(q)&~(((r&n)>q)))
|
((e|~(k))|w)
| 0 | 1 | 0 | 0 |
not entailment
|
(e&~(t))
|
((w|((w&q)|(t&r)))>((e|w)>(q|((q|n)|n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&(w&((w|q)>n)))
|
(r|r)
| 1 | 1 | 1 | 1 |
entailment
|
~((e>~(~((r|(t&(t&e)))))))
|
(t>~(((e&r)&(q|(t|q)))))
| 1 | 1 | 0 | 0 |
entailment
|
(r&(w&((w|q)>n)))
|
(t>~(((e&r)&(q|(t|q)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((e>~(~((r|(t&(t&e)))))))
|
(r|r)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((r|k)&(e>((n>q)&((~(t)&q)>t)))))
|
(~((k>e))>(r|e))
| 1 | 1 | 1 | 0 |
entailment
|
(n&((k&q)|~(((t&q)>t))))
|
(((w|(w>t))|((n|t)&r))>q)
| 1 | 1 | 0 | 0 |
entailment
|
~(((r|k)&(e>((n>q)&((~(t)&q)>t)))))
|
(((w|(w>t))|((n|t)&r))>q)
| 0 | 1 | 0 | 0 |
not entailment
|
(n&((k&q)|~(((t&q)>t))))
|
(~((k>e))>(r|e))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(q)&q)|((r&((w|t)>n))&(e&q)))
|
(q|e)
| 1 | 1 | 1 | 1 |
entailment
|
((((n>e)|w)&(w&q))|(w&t))
|
(~(((r>(q>(r|e)))>(e>w)))>((w>q)>(q>n)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(q)&q)|((r&((w|t)>n))&(e&q)))
|
(~(((r>(q>(r|e)))>(e>w)))>((w>q)>(q>n)))
| 0 | 0 | 1 | 0 |
not entailment
|
((((n>e)|w)&(w&q))|(w&t))
|
(q|e)
| 0 | 1 | 1 | 1 |
not entailment
|
(q&w)
|
(~(~(q))>w)
| 1 | 0 | 1 | 0 |
entailment
|
~(((((k>e)>r)|(k&q))>(w|~(r))))
|
(r|(q&~(~(~((q|w))))))
| 1 | 1 | 1 | 0 |
entailment
|
(q&w)
|
(r|(q&~(~(~((q|w))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((k>e)>r)|(k&q))>(w|~(r))))
|
(~(~(q))>w)
| 0 | 1 | 1 | 0 |
not entailment
|
~((n>(k|k)))
|
(((~(k)>(((n&n)|n)|r))|(n>q))>(~(k)&n))
| 1 | 0 | 0 | 0 |
entailment
|
(e|~((q>q)))
|
(e|(((((n&r)>r)|r)>(w&n))>~(q)))
| 1 | 0 | 0 | 0 |
entailment
|
~((n>(k|k)))
|
(e|(((((n&r)>r)|r)>(w&n))>~(q)))
| 0 | 0 | 0 | 0 |
not entailment
|
(e|~((q>q)))
|
(((~(k)>(((n&n)|n)|r))|(n>q))>(~(k)&n))
| 0 | 0 | 0 | 0 |
not entailment
|
~((q>n))
|
(~(~(((n>q)&~((r|((e&(t|w))|q))))))>w)
| 1 | 0 | 0 | 0 |
entailment
|
~((r|e))
|
(r>n)
| 1 | 1 | 0 | 0 |
entailment
|
~((q>n))
|
(r>n)
| 0 | 1 | 0 | 0 |
not entailment
|
~((r|e))
|
(~(~(((n>q)&~((r|((e&(t|w))|q))))))>w)
| 0 | 0 | 0 | 0 |
not entailment
|
(w&~((((~(q)|((w>e)|n))>~(n))|(r>t))))
|
(~(n)|((r|(q|q))&(t|(t>n))))
| 1 | 1 | 1 | 0 |
entailment
|
(e&~((w&k)))
|
(e&(~(n)|(q|e)))
| 1 | 0 | 0 | 0 |
entailment
|
(w&~((((~(q)|((w>e)|n))>~(n))|(r>t))))
|
(e&(~(n)|(q|e)))
| 0 | 1 | 1 | 0 |
not entailment
|
(e&~((w&k)))
|
(~(n)|((r|(q|q))&(t|(t>n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(k)>~((n>w)))&r)&(r>(((n&r)>t)&n)))
|
(w>(((k|r)|~(k))&(w>(t>(n&t)))))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((k|w)&~(e))))
|
~(~(((q&(k>(r|e)))|~(e))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(k)>~((n>w)))&r)&(r>(((n&r)>t)&n)))
|
~(~(((q&(k>(r|e)))|~(e))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((k|w)&~(e))))
|
(w>(((k|r)|~(k))&(w>(t>(n&t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((q>e)>q)|n))&(~(~((r&n)))|~(r)))
|
(~((r|((n|w)>k)))>((q>w)|(r&t)))
| 1 | 1 | 0 | 0 |
entailment
|
((n>n)>e)
|
(w|e)
| 1 | 1 | 0 | 0 |
entailment
|
(~((((q>e)>q)|n))&(~(~((r&n)))|~(r)))
|
(w|e)
| 0 | 1 | 0 | 0 |
not entailment
|
((n>n)>e)
|
(~((r|((n|w)>k)))>((q>w)|(r&t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&n)
|
(~((r|(e&e)))|~((q&~((k&k)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~((e&k))&w)))
|
((((~(w)&t)&k)&(r>q))>~(~(~(q))))
| 1 | 0 | 0 | 0 |
entailment
|
(k&n)
|
((((~(w)&t)&k)&(r>q))>~(~(~(q))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~((e&k))&w)))
|
(~((r|(e&e)))|~((q&~((k&k)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((t&k)&~((t|t)))|(e|(w|t)))|~(k)))
|
(~(((e>~(~((r|r))))&(n&(q|t))))|(q|e))
| 1 | 1 | 0 | 0 |
entailment
|
~((w|(r|(((t&~((k>k)))&(w>w))&r))))
|
((r>n)|(n&(q|~(n))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((t&k)&~((t|t)))|(e|(w|t)))|~(k)))
|
((r>n)|(n&(q|~(n))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((w|(r|(((t&~((k>k)))&(w>w))&r))))
|
(~(((e>~(~((r|r))))&(n&(q|t))))|(q|e))
| 0 | 0 | 0 | 0 |
not entailment
|
((n>e)>n)
|
(~(((w|k)>~(e)))|(~(k)>n))
| 1 | 0 | 0 | 0 |
entailment
|
(q&(t|t))
|
(((q&((e&q)&n))|((k&(n>n))&q))|(n>(t|k)))
| 1 | 0 | 0 | 0 |
entailment
|
((n>e)>n)
|
(((q&((e&q)&n))|((k&(n>n))&q))|(n>(t|k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&(t|t))
|
(~(((w|k)>~(e)))|(~(k)>n))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((t&w)>(((q|r)|((w&e)>t))|k)))|k)
|
(((k|(r|w))|t)|t)
| 1 | 1 | 1 | 0 |
entailment
|
(~(~(~(n)))&((n&(e|k))>t))
|
~(((n&n)&(~(r)>((n|(t&w))&r))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((t&w)>(((q|r)|((w&e)>t))|k)))|k)
|
~(((n&n)&(~(r)>((n|(t&w))&r))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~(n)))&((n&(e|k))>t))
|
(((k|(r|w))|t)|t)
| 0 | 1 | 0 | 0 |
not entailment
|
((((r|q)>t)&~(~(k)))&~(~((t&(e&w)))))
|
((e|e)|(r|n))
| 1 | 1 | 0 | 0 |
entailment
|
~(((q&~(e))>((w&((r|t)>t))>(r&~(t)))))
|
(~(r)|q)
| 1 | 1 | 1 | 1 |
entailment
|
((((r|q)>t)&~(~(k)))&~(~((t&(e&w)))))
|
(~(r)|q)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((q&~(e))>((w&((r|t)>t))>(r&~(t)))))
|
((e|e)|(r|n))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&q)
|
(~(q)>(((e>w)&(k|q))&(r>~(((w|e)>w)))))
| 1 | 0 | 0 | 0 |
entailment
|
(k&n)
|
(n&((t|k)|k))
| 1 | 0 | 0 | 0 |
entailment
|
(r&q)
|
(n&((t|k)|k))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&n)
|
(~(q)>(((e>w)&(k|q))&(r>~(((w|e)>w)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~(e)))>~(((w|k)>k)))
|
~((~((n>w))&~(e)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((k|((q&(k|r))&((w>t)>r)))|e))
|
~(((w|(w&k))&(e&r)))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(~(e)))>~(((w|k)>k)))
|
~(((w|(w&k))&(e&r)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((k|((q&(k|r))&((w>t)>r)))|e))
|
~((~((n>w))&~(e)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(t)
|
~(~(~(((((t|r)&t)&k)&e))))
| 1 | 0 | 0 | 0 |
entailment
|
(((n>(e&e))&(~((n&(e|k)))>~(q)))&r)
|
((((n|(n|r))|(n&(q>(k>k))))&r)&r)
| 1 | 1 | 1 | 0 |
entailment
|
~(t)
|
((((n|(n|r))|(n&(q>(k>k))))&r)&r)
| 0 | 0 | 0 | 0 |
not entailment
|
(((n>(e&e))&(~((n&(e|k)))>~(q)))&r)
|
~(~(~(((((t|r)&t)&k)&e))))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&k)
|
((e>(((q|w)|k)&k))>k)
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(q))&(n|w))
|
(~(t)>q)
| 1 | 1 | 0 | 0 |
entailment
|
(r&k)
|
(~(t)>q)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(q))&(n|w))
|
((e>(((q|w)|k)&k))>k)
| 0 | 0 | 0 | 0 |
not entailment
|
(((h&g)&y)&y)
|
(~(((z|~(m))>((y>k)>h)))>m)
| 1 | 0 | 0 | 0 |
entailment
|
(u|~((g>(y>h))))
|
((u|h)>(~(u)>(h&((g&r)&~(~(~(u)))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((h&g)&y)&y)
|
((u|h)>(~(u)>(h&((g&r)&~(~(~(u)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(u|~((g>(y>h))))
|
(~(((z|~(m))>((y>k)>h)))>m)
| 0 | 0 | 0 | 0 |
not entailment
|
(z&(((u|g)>u)>m))
|
(((z|r)|~(u))|r)
| 1 | 1 | 0 | 0 |
entailment
|
((r|(m|m))&h)
|
(h|(((u|r)&m)|u))
| 1 | 0 | 0 | 0 |
entailment
|
(z&(((u|g)>u)>m))
|
(h|(((u|r)&m)|u))
| 0 | 1 | 0 | 0 |
not entailment
|
((r|(m|m))&h)
|
(((z|r)|~(u))|r)
| 0 | 0 | 0 | 0 |
not entailment
|
~((r>m))
|
((~(~(m))&(r|(g>y)))>((u|(g>z))>z))
| 1 | 0 | 0 | 0 |
entailment
|
(u>k)
|
~((((k|u)&u)&~(k)))
| 1 | 0 | 1 | 0 |
entailment
|
~((r>m))
|
~((((k|u)&u)&~(k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(u>k)
|
((~(~(m))&(r|(g>y)))>((u|(g>z))>z))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((~((y&h))>u))>(r|~(g))))
|
((~(g)&z)>(~(u)>~((k&h))))
| 1 | 1 | 0 | 0 |
entailment
|
(m&r)
|
(h|(~(h)>(g>r)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~((y&h))>u))>(r|~(g))))
|
(h|(~(h)>(g>r)))
| 0 | 1 | 1 | 0 |
not entailment
|
(m&r)
|
((~(g)&z)>(~(u)>~((k&h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(m|(h&((~(u)|u)&r)))
|
((h|m)|((u&k)|(z|g)))
| 1 | 1 | 0 | 0 |
entailment
|
(((y&(r|~(h)))|u)&(~((u|u))|k))
|
((~(y)&~(((z>(k&~(m)))>k)))>(y|y))
| 1 | 0 | 0 | 0 |
entailment
|
(m|(h&((~(u)|u)&r)))
|
((~(y)&~(((z>(k&~(m)))>k)))>(y|y))
| 0 | 0 | 0 | 0 |
not entailment
|
(((y&(r|~(h)))|u)&(~((u|u))|k))
|
((h|m)|((u&k)|(z|g)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(h)&(((z|k)|k)&u))
|
(((m&r)|(z&~(y)))|u)
| 1 | 1 | 0 | 0 |
entailment
|
((z>(h|((y&r)>m)))>g)
|
(((r>(y>g))>g)|y)
| 1 | 1 | 1 | 0 |
entailment
|
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