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 |
|---|---|---|---|---|---|---|
~((k|(k&(k>k))))
|
(~(k)&((k>(k>k))>~((k&~((k|k))))))
| 1 | 0 | 1 | 1 |
entailment
|
(((k|k)|(k&(k|~(k))))|(k|k))
|
(~(k)&((k>(k>k))>~((k&~((k|k))))))
| 0 | 0 | 1 | 1 |
not entailment
|
~((k|(k&(k>k))))
|
(k&(k>k))
| 0 | 1 | 1 | 1 |
not entailment
|
(k&(((k>k)&(~(~((k|k)))>(k|(k&k))))&k))
|
((k|k)|k)
| 1 | 1 | 1 | 1 |
entailment
|
~((k|k))
|
~(~(~(((k>~((k>k)))>(k|k)))))
| 1 | 0 | 1 | 0 |
entailment
|
(k&(((k>k)&(~(~((k|k)))>(k|(k&k))))&k))
|
~(~(~(((k>~((k>k)))>(k|k)))))
| 0 | 1 | 1 | 1 |
not entailment
|
~((k|k))
|
((k|k)|k)
| 0 | 1 | 1 | 0 |
not entailment
|
((~(~((q>q)))|q)&(q|q))
|
(q|(((q|q)&q)&~(~((q&(q>((q>q)&q)))))))
| 1 | 0 | 1 | 1 |
entailment
|
((~((q>q))>q)>~(((q&(q&q))&q)))
|
~(~((q>(~(q)&(q|q)))))
| 1 | 1 | 1 | 1 |
entailment
|
((~(~((q>q)))|q)&(q|q))
|
~(~((q>(~(q)&(q|q)))))
| 0 | 1 | 1 | 1 |
not entailment
|
((~((q>q))>q)>~(((q&(q&q))&q)))
|
(q|(((q|q)&q)&~(~((q&(q>((q>q)&q)))))))
| 0 | 0 | 1 | 1 |
not entailment
|
((q&q)|(q&q))
|
((((q>q)|q)|q)&(q|q))
| 1 | 0 | 1 | 0 |
entailment
|
~(((q|q)&q))
|
~(q)
| 1 | 1 | 1 | 1 |
entailment
|
((q&q)|(q&q))
|
~(q)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((q|q)&q))
|
((((q>q)|q)|q)&(q|q))
| 0 | 0 | 1 | 0 |
not entailment
|
(t&(t|t))
|
((~(~(q))>t)&t)
| 1 | 0 | 0 | 0 |
entailment
|
~((l>((r&l)|y)))
|
((((y&q)|x)&y)>(x>~(x)))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(t|t))
|
((((y&q)|x)&y)>(x>~(x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((l>((r&l)|y)))
|
((~(~(q))>t)&t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(q)))
|
(((y>y)|t)>~((~(((q&t)>q))|q)))
| 1 | 0 | 0 | 0 |
entailment
|
(r&x)
|
(((~(l)&r)|r)>(x|(l|l)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(q)))
|
(((~(l)&r)|r)>(x|(l|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&x)
|
(((y>y)|t)>~((~(((q&t)>q))|q)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((r|r)|r)&(~(~((t>~(y))))|r))
|
(r|l)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((t&y)&(x>l))))
|
(((q&x)&(q|l))>t)
| 1 | 1 | 0 | 0 |
entailment
|
(((r|r)|r)&(~(~((t>~(y))))|r))
|
(((q&x)&(q|l))>t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((t&y)&(x>l))))
|
(r|l)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&(y|q))
|
(((l&y)>r)|(t&t))
| 1 | 0 | 0 | 0 |
entailment
|
((r>(t>x))&~(x))
|
((y|(l|t))|(x>(r&y)))
| 1 | 0 | 0 | 0 |
entailment
|
(r&(y|q))
|
((y|(l|t))|(x>(r&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
((r>(t>x))&~(x))
|
(((l&y)>r)|(t&t))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((r>y)>((y>y)&q))|(r>t)))
|
((l|y)|(l|t))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(q))
|
(((q|r)>x)|(~((~(y)|t))>q))
| 1 | 0 | 0 | 0 |
entailment
|
~((((r>y)>((y>y)&q))|(r>t)))
|
(((q|r)>x)|(~((~(y)|t))>q))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(q))
|
((l|y)|(l|t))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&((l>q)>y))
|
((t|y)>(y|l))
| 1 | 1 | 0 | 0 |
entailment
|
(~((x|~((t>(l>~((y|y)))))))|~((x|t)))
|
(~((x&l))|~((((l>l)|r)>~(((q&x)>r)))))
| 1 | 1 | 0 | 0 |
entailment
|
(x&((l>q)>y))
|
(~((x&l))|~((((l>l)|r)>~(((q&x)>r)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((x|~((t>(l>~((y|y)))))))|~((x|t)))
|
((t|y)>(y|l))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(((y|~(t))|y))>~((t&~(l))))&r)
|
((t>(x>y))|r)
| 1 | 1 | 0 | 0 |
entailment
|
~(((x|x)>y))
|
(q>x)
| 1 | 1 | 0 | 0 |
entailment
|
((~(((y|~(t))|y))>~((t&~(l))))&r)
|
(q>x)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((x|x)>y))
|
((t>(x>y))|r)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((l&y)>q))
|
~(((~((x|r))>~(r))>(q&(r|(l&q)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~((r|y))>r)&q)
|
(((y&(~(q)&t))>(x|(r&q)))|~((l|t)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((l&y)>q))
|
(((y&(~(q)&t))>(x|(r&q)))|~((l|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((r|y))>r)&q)
|
~(((~((x|r))>~(r))>(q&(r|(l&q)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(x)
|
(((x&l)>r)|((y&x)|y))
| 1 | 0 | 0 | 0 |
entailment
|
(t&x)
|
(x|(~(q)>l))
| 1 | 0 | 0 | 0 |
entailment
|
~(x)
|
(x|(~(q)>l))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&x)
|
(((x&l)>r)|((y&x)|y))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((((q>((x|y)|r))&(t&x))&y))|(y>q)))
|
((t|(t&((r|~(y))>r)))&(l>(y&~(q))))
| 1 | 1 | 0 | 0 |
entailment
|
(((l>y)|(l|l))&l)
|
(t>l)
| 1 | 1 | 0 | 0 |
entailment
|
~((~((((q>((x|y)|r))&(t&x))&y))|(y>q)))
|
(t>l)
| 0 | 1 | 0 | 0 |
not entailment
|
(((l>y)|(l|l))&l)
|
((t|(t&((r|~(y))>r)))&(l>(y&~(q))))
| 0 | 0 | 0 | 0 |
not entailment
|
((y>~(((l>l)|(t&t))))&(((t>t)>x)&x))
|
(x|(t>y))
| 1 | 1 | 1 | 0 |
entailment
|
(q&q)
|
(y|q)
| 1 | 1 | 0 | 0 |
entailment
|
((y>~(((l>l)|(t&t))))&(((t>t)>x)&x))
|
(y|q)
| 0 | 1 | 0 | 0 |
not entailment
|
(q&q)
|
(x|(t>y))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(((x&x)>q))&(r>y))&((x>l)|x))&(y&t))
|
(((r|(l>y))>~(y))|t)
| 1 | 1 | 1 | 0 |
entailment
|
((q&x)|(q&(l>(t|x))))
|
((~(~(t))|q)>(((~(r)|~((q|t)))&l)|q))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(((x&x)>q))&(r>y))&((x>l)|x))&(y&t))
|
((~(~(t))|q)>(((~(r)|~((q|t)))&l)|q))
| 0 | 1 | 1 | 0 |
not entailment
|
((q&x)|(q&(l>(t|x))))
|
(((r|(l>y))>~(y))|t)
| 0 | 1 | 0 | 0 |
not entailment
|
((r&q)&(r&((((x|q)|t)|t)|(q>(y&l)))))
|
((q>r)|((q>(l|r))&~((q&t))))
| 1 | 1 | 1 | 0 |
entailment
|
~((y>((l>(x&y))|((y|x)&~((t>l))))))
|
((~(l)>(r>(l>q)))&((~((l|l))>(y&y))&l))
| 1 | 0 | 0 | 0 |
entailment
|
((r&q)&(r&((((x|q)|t)|t)|(q>(y&l)))))
|
((~(l)>(r>(l>q)))&((~((l|l))>(y&y))&l))
| 0 | 0 | 1 | 0 |
not entailment
|
~((y>((l>(x&y))|((y|x)&~((t>l))))))
|
((q>r)|((q>(l|r))&~((q&t))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((x>((t&q)|q)))
|
((r|r)|((~(l)>q)>((y&(q&(~(r)&t)))>l)))
| 1 | 0 | 0 | 0 |
entailment
|
(((((q|q)>x)|t)&y)&(q|~(((q|~(r))&l))))
|
((((q>x)>((~(t)>t)&~((x|y))))|l)|(t|y))
| 1 | 1 | 1 | 0 |
entailment
|
~((x>((t&q)|q)))
|
((((q>x)>((~(t)>t)&~((x|y))))|l)|(t|y))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((q|q)>x)|t)&y)&(q|~(((q|~(r))&l))))
|
((r|r)|((~(l)>q)>((y&(q&(~(r)&t)))>l)))
| 0 | 1 | 1 | 0 |
not entailment
|
(l&x)
|
((((x&~((r>x)))&(l|x))&(x&l))|l)
| 1 | 0 | 0 | 0 |
entailment
|
(y&((q|(r>x))>q))
|
(((y&y)>(r|y))&(~(x)|y))
| 1 | 0 | 1 | 0 |
entailment
|
(l&x)
|
(((y&y)>(r|y))&(~(x)|y))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&((q|(r>x))>q))
|
((((x&~((r>x)))&(l|x))&(x&l))|l)
| 0 | 0 | 0 | 0 |
not entailment
|
(y&(~((r>y))|((q>q)&l)))
|
((l>l)&l)
| 1 | 1 | 1 | 0 |
entailment
|
((x|l)>~((q>q)))
|
~(~((~(x)&~(l))))
| 1 | 0 | 1 | 1 |
entailment
|
(y&(~((r>y))|((q>q)&l)))
|
~(~((~(x)&~(l))))
| 0 | 1 | 0 | 0 |
not entailment
|
((x|l)>~((q>q)))
|
((l>l)&l)
| 0 | 1 | 1 | 0 |
not entailment
|
((y&(y|y))&((q|x)&y))
|
((~(~(l))|y)|~((~(~(x))>q)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(r))
|
((((((q>x)&(l&r))>(r>r))&(t|q))&~(r))>t)
| 1 | 0 | 0 | 0 |
entailment
|
((y&(y|y))&((q|x)&y))
|
((((((q>x)&(l&r))>(r>r))&(t|q))&~(r))>t)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(r))
|
((~(~(l))|y)|~((~(~(x))>q)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((r&l)&(t>l))|(~(y)>(x>(q&x)))))
|
~(q)
| 1 | 1 | 1 | 1 |
entailment
|
~((((r>t)>t)>(x|~(r))))
|
~(~(((x>l)>r)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((r&l)&(t>l))|(~(y)>(x>(q&x)))))
|
~(~(((x>l)>r)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((r>t)>t)>(x|~(r))))
|
~(q)
| 0 | 1 | 0 | 0 |
not entailment
|
(t&~((~(((t|((r>q)&~(x)))&q))>(x|y))))
|
(t|t)
| 1 | 1 | 1 | 1 |
entailment
|
~((q>((((x|q)&~(t))>y)&~(((y>t)|x)))))
|
(((l|l)>q)&((t&(y>(r>y)))>(r>t)))
| 1 | 1 | 0 | 0 |
entailment
|
(t&~((~(((t|((r>q)&~(x)))&q))>(x|y))))
|
(((l|l)>q)&((t&(y>(r>y)))>(r>t)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((q>((((x|q)&~(t))>y)&~(((y>t)|x)))))
|
(t|t)
| 0 | 1 | 1 | 1 |
not entailment
|
(((~(k)|~(e))&(k>(~(v)|~((t>b)))))&e)
|
(~((((~(v)&u)&e)&~((p|t))))|~(k))
| 1 | 1 | 0 | 0 |
entailment
|
~((k>i))
|
~(~(~((~(((u|o)&g))&i))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(k)|~(e))&(k>(~(v)|~((t>b)))))&e)
|
~(~(~((~(((u|o)&g))&i))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((k>i))
|
(~((((~(v)&u)&e)&~((p|t))))|~(k))
| 0 | 0 | 0 | 0 |
not entailment
|
((k&p)&p)
|
((~((b&i))>~((u&(b>o))))>(g>(t|k)))
| 1 | 0 | 0 | 0 |
entailment
|
(u&((v|k)&p))
|
((u|~(~(((t>o)>g))))|((((t>u)&t)&e)|e))
| 1 | 0 | 0 | 0 |
entailment
|
((k&p)&p)
|
((u|~(~(((t>o)>g))))|((((t>u)&t)&e)|e))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&((v|k)&p))
|
((~((b&i))>~((u&(b>o))))>(g>(t|k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((e|o)&v)&((~((k>v))>o)>k))
|
(e>v)
| 1 | 1 | 1 | 0 |
entailment
|
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