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 |
|---|---|---|---|---|---|---|
~(b)
|
~(((s>s)>b))
| 1 | 0 | 0 | 0 |
entailment
|
(((h|h)&(((z&h)>(y|y))>s))&p)
|
~(((s>s)>b))
| 0 | 1 | 0 | 0 |
not entailment
|
~(b)
|
(~((s>(z>z)))|((b&h)|h))
| 0 | 0 | 0 | 0 |
not entailment
|
((h|n)&h)
|
(h|~(((((z|j)>(n|j))&~((c|j)))>~(z))))
| 1 | 0 | 0 | 0 |
entailment
|
((j|n)&(~(~((h>c)))&~(((r>y)|z))))
|
(r|b)
| 1 | 1 | 0 | 0 |
entailment
|
((h|n)&h)
|
(r|b)
| 0 | 1 | 0 | 0 |
not entailment
|
((j|n)&(~(~((h>c)))&~(((r>y)|z))))
|
(h|~(((((z|j)>(n|j))&~((c|j)))>~(z))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((z>~(c))|(~((h>s))>((c>(p|b))>b))))
|
(h&c)
| 1 | 1 | 1 | 1 |
entailment
|
((~((h&s))|z)&(b&((n&r)>z)))
|
((z>c)>((p&r)>((c|(n|h))>b)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((z>~(c))|(~((h>s))>((c>(p|b))>b))))
|
((z>c)>((p&r)>((c|(n|h))>b)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((h&s))|z)&(b&((n&r)>z)))
|
(h&c)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(((h>r)>(c&j)))|c)>(p>(s|(r|h)))))
|
((((b|(~(j)|(j|s)))|~(y))&z)|((n|p)|y))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((z|(((r>c)&s)&~(j))))))
|
~((z&(~(b)|n)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(((h>r)>(c&j)))|c)>(p>(s|(r|h)))))
|
~((z&(~(b)|n)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((z|(((r>c)&s)&~(j))))))
|
((((b|(~(j)|(j|s)))|~(y))&z)|((n|p)|y))
| 0 | 0 | 0 | 0 |
not entailment
|
((p&~(n))&(s&s))
|
((z|s)|(~(~(r))&(~(h)&(n>c))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((n&(((y&s)|y)|(y>p)))>(p>y)))
|
~(((c>y)&~((~(n)>r))))
| 1 | 1 | 0 | 0 |
entailment
|
((p&~(n))&(s&s))
|
~(((c>y)&~((~(n)>r))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((n&(((y&s)|y)|(y>p)))>(p>y)))
|
((z|s)|(~(~(r))&(~(h)&(n>c))))
| 0 | 1 | 0 | 0 |
not entailment
|
((z&n)&p)
|
(((y&b)>r)>((b>n)|(h>c)))
| 1 | 0 | 0 | 0 |
entailment
|
(j&b)
|
((p|(c>(z>(b&((h&n)>h)))))>j)
| 1 | 0 | 0 | 0 |
entailment
|
((z&n)&p)
|
((p|(c>(z>(b&((h&n)>h)))))>j)
| 0 | 0 | 0 | 0 |
not entailment
|
(j&b)
|
(((y&b)>r)>((b>n)|(h>c)))
| 0 | 0 | 0 | 0 |
not entailment
|
((p|b)&((h>(c>z))&y))
|
(~(((p>b)>(b|((z>r)|p))))>(n|n))
| 1 | 0 | 0 | 0 |
entailment
|
~(c)
|
(~(c)|(~((c>n))&~(r)))
| 1 | 0 | 0 | 0 |
entailment
|
((p|b)&((h>(c>z))&y))
|
(~(c)|(~((c>n))&~(r)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(c)
|
(~(((p>b)>(b|((z>r)|p))))>(n|n))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((r|b)|(z>(r|p))))&(j>n))
|
(~((z>y))|((y&b)>(c|h)))
| 1 | 1 | 0 | 0 |
entailment
|
(b&((((s|(h>h))>z)|(s|y))>n))
|
(((c|s)>(~((h&n))|(n|((h>s)|y))))>b)
| 1 | 0 | 0 | 0 |
entailment
|
(~(((r|b)|(z>(r|p))))&(j>n))
|
(((c|s)>(~((h&n))|(n|((h>s)|y))))>b)
| 0 | 0 | 0 | 0 |
not entailment
|
(b&((((s|(h>h))>z)|(s|y))>n))
|
(~((z>y))|((y&b)>(c|h)))
| 0 | 1 | 0 | 0 |
not entailment
|
((n>j)&~((((p>z)|s)>(r|y))))
|
((((p&y)&s)|r)>(c|(s|b)))
| 1 | 1 | 0 | 0 |
entailment
|
((r>p)>r)
|
(~(~(h))>(~((r&((j&z)>z)))>(r&y)))
| 1 | 0 | 0 | 0 |
entailment
|
((n>j)&~((((p>z)|s)>(r|y))))
|
(~(~(h))>(~((r&((j&z)>z)))>(r&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
((r>p)>r)
|
((((p&y)&s)|r)>(c|(s|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
((z|b)&((~(p)|b)>p))
|
(z|(p|j))
| 1 | 1 | 0 | 0 |
entailment
|
((~((z|n))&~(h))&(s|(b>n)))
|
(~((n>((s>b)|r)))>(r|((((j|j)&z)&r)&r)))
| 1 | 0 | 0 | 0 |
entailment
|
((z|b)&((~(p)|b)>p))
|
(~((n>((s>b)|r)))>(r|((((j|j)&z)&r)&r)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((z|n))&~(h))&(s|(b>n)))
|
(z|(p|j))
| 0 | 1 | 0 | 0 |
not entailment
|
((z&j)&(~((s|~((r>(p&s)))))&n))
|
((r>((~(n)>z)&((r|b)&s)))&z)
| 1 | 1 | 0 | 0 |
entailment
|
(~((~(p)&(r|((h&h)>r))))&(c&h))
|
~(~(c))
| 1 | 1 | 1 | 1 |
entailment
|
((z&j)&(~((s|~((r>(p&s)))))&n))
|
~(~(c))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(p)&(r|((h&h)>r))))&(c&h))
|
((r>((~(n)>z)&((r|b)&s)))&z)
| 0 | 1 | 0 | 0 |
not entailment
|
~(b)
|
((n&(p&y))>((b>z)&n))
| 1 | 0 | 0 | 0 |
entailment
|
(~(r)>~((~(r)|b)))
|
(((n>(h|h))|~(~(r)))&(p>((s&b)|r)))
| 1 | 0 | 0 | 0 |
entailment
|
~(b)
|
(((n>(h|h))|~(~(r)))&(p>((s&b)|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(r)>~((~(r)|b)))
|
((n&(p&y))>((b>z)&n))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(((q&q)>q)))&(q|q))&q)
|
((q|q)|(q&q))
| 1 | 1 | 1 | 1 |
entailment
|
~(q)
|
~(((q>q)>((((q>~(q))&q)&((q>q)|q))|q)))
| 1 | 0 | 1 | 0 |
entailment
|
((~(~(((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))
| 0 | 0 | 1 | 0 |
not entailment
|
(((q&q)|q)|q)
|
~(~((q|q)))
| 1 | 1 | 1 | 1 |
entailment
|
~((q&(q>q)))
|
~((~(((q>~(q))|q))|q))
| 1 | 0 | 1 | 1 |
entailment
|
(((q&q)|q)|q)
|
~((~(((q>~(q))|q))|q))
| 0 | 0 | 1 | 0 |
not entailment
|
~((q&(q>q)))
|
~(~((q|q)))
| 0 | 1 | 1 | 1 |
not entailment
|
((~(q)>q)&(q|q))
|
(q&q)
| 1 | 1 | 1 | 1 |
entailment
|
~(((q&(q|q))|(q|(q&q))))
|
(~((q|(q|q)))&((~(q)|q)|q))
| 1 | 0 | 1 | 0 |
entailment
|
((~(q)>q)&(q|q))
|
(~((q|(q|q)))&((~(q)|q)|q))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((q&(q|q))|(q|(q&q))))
|
(q&q)
| 0 | 1 | 1 | 0 |
not entailment
|
((~((q&q))>q)&(q|(q|q)))
|
((q|~(q))>(q|q))
| 1 | 1 | 1 | 0 |
entailment
|
((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&(q>q)))))
| 0 | 0 | 1 | 0 |
not entailment
|
((q|~(q))&~(q))
|
((q|~(q))>(q|q))
| 0 | 1 | 1 | 1 |
not entailment
|
(((h&v)>k)>(((m>(m&v))&(k&~(m)))&v))
|
((k&h)|(k|v))
| 1 | 1 | 1 | 1 |
entailment
|
(h&p)
|
((((h|p)|~(((m|k)>(~(p)|h))))|(l&h))|h)
| 1 | 0 | 0 | 0 |
entailment
|
(((h&v)>k)>(((m>(m&v))&(k&~(m)))&v))
|
((((h|p)|~(((m|k)>(~(p)|h))))|(l&h))|h)
| 0 | 0 | 0 | 0 |
not entailment
|
(h&p)
|
((k&h)|(k|v))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((l|m)>(p&p)))
|
((~((h&(p|m)))&~(((k|v)|(p>k))))>m)
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(l)|(v|v)))&(l>(m>~(k))))
|
~(~(((m&l)|(v>k))))
| 1 | 1 | 1 | 0 |
entailment
|
~(((l|m)>(p&p)))
|
~(~(((m&l)|(v>k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(l)|(v|v)))&(l>(m>~(k))))
|
((~((h&(p|m)))&~(((k|v)|(p>k))))>m)
| 0 | 0 | 0 | 0 |
not entailment
|
(((m|v)|~(p))&~((((l|p)>h)|(l|v))))
|
(h|(l>m))
| 1 | 1 | 1 | 0 |
entailment
|
((l|~((k|v)))&((l|v)&(v>~(v))))
|
((v>k)>(~(k)|l))
| 1 | 1 | 1 | 1 |
entailment
|
(((m|v)|~(p))&~((((l|p)>h)|(l|v))))
|
((v>k)>(~(k)|l))
| 0 | 1 | 0 | 0 |
not entailment
|
((l|~((k|v)))&((l|v)&(v>~(v))))
|
(h|(l>m))
| 0 | 1 | 0 | 0 |
not entailment
|
~((h|k))
|
((p&(k|(h>v)))|~(p))
| 1 | 0 | 0 | 0 |
entailment
|
(l&(((v&(p&v))&~(k))|l))
|
(v|(l|m))
| 1 | 1 | 0 | 0 |
entailment
|
~((h|k))
|
(v|(l|m))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&(((v&(p&v))&~(k))|l))
|
((p&(k|(h>v)))|~(p))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&(m|h))
|
((v|m)|~(~(~((m|h)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((p|~((m|l))))
|
(((p>v)|(k>(m>v)))|(l&(l>l)))
| 1 | 0 | 0 | 0 |
entailment
|
(m&(m|h))
|
(((p>v)|(k>(m>v)))|(l&(l>l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((p|~((m|l))))
|
((v|m)|~(~(~((m|h)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(m)>(((m>p)&k)|((k|l)&l)))|m))
|
((k|(k&l))>~((m|m)))
| 1 | 1 | 1 | 1 |
entailment
|
(m&(~(((h&k)&k))|v))
|
(h>((~((l|l))&(l>p))>(m&m)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(m)>(((m>p)&k)|((k|l)&l)))|m))
|
(h>((~((l|l))&(l>p))>(m&m)))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&(~(((h&k)&k))|v))
|
((k|(k&l))>~((m|m)))
| 0 | 1 | 0 | 0 |
not entailment
|
((m&~(l))&~(((p&m)&v)))
|
~(l)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(~((k&h)))))
|
(k|p)
| 1 | 1 | 0 | 0 |
entailment
|
((m&~(l))&~(((p&m)&v)))
|
(k|p)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(~((k&h)))))
|
~(l)
| 0 | 1 | 0 | 0 |
not entailment
|
((v|m)&p)
|
((m|(p>(k>k)))&~(~((l|(m|p)))))
| 1 | 0 | 0 | 0 |
entailment
|
((h&v)&h)
|
(~(l)>(h|(k&h)))
| 1 | 0 | 0 | 0 |
entailment
|
((v|m)&p)
|
(~(l)>(h|(k&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((h&v)&h)
|
((m|(p>(k>k)))&~(~((l|(m|p)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((k>m)&v)
|
(~((l>p))|(~(~((l|(h>m))))|(v|m)))
| 1 | 0 | 0 | 0 |
entailment
|
(((p&l)>(m>k))&((((p|l)|k)|~(m))&p))
|
((v>v)>((v>m)|p))
| 1 | 1 | 0 | 0 |
entailment
|
((k>m)&v)
|
((v>v)>((v>m)|p))
| 0 | 0 | 0 | 0 |
not entailment
|
(((p&l)>(m>k))&((((p|l)|k)|~(m))&p))
|
(~((l>p))|(~(~((l|(h>m))))|(v|m)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((m|v)>(~((h|k))&h))|l)|v))
|
(((k|h)>~(l))&(l>k))
| 1 | 1 | 1 | 0 |
entailment
|
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