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 |
|---|---|---|---|---|---|---|
(z&~(j))
|
((z&x)>((x|(~(m)&j))&((o&m)>j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(~((~((x|f))&p)))>((f&e)>f))>o))
|
~(((j|(m&j))&z))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&(((f|m)>(z&m))&((f&f)&j)))
|
(((o>(o&m))&j)>m)
| 1 | 1 | 0 | 0 |
entailment
|
((p>m)&~((f|(z|f))))
|
~(~(~((e&(~(~((z&o)))&(o&f))))))
| 1 | 0 | 0 | 0 |
entailment
|
(m&(((f|m)>(z&m))&((f&f)&j)))
|
~(~(~((e&(~(~((z&o)))&(o&f))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((p>m)&~((f|(z|f))))
|
(((o>(o&m))&j)>m)
| 0 | 1 | 0 | 0 |
not entailment
|
~((j|((x&j)|z)))
|
(~(~((p&z)))>(~(e)&x))
| 1 | 0 | 0 | 0 |
entailment
|
(p&~((j>(((o&m)>~(~(j)))>~(e)))))
|
(~(o)|(p|x))
| 1 | 1 | 0 | 0 |
entailment
|
~((j|((x&j)|z)))
|
(~(o)|(p|x))
| 0 | 1 | 0 | 0 |
not entailment
|
(p&~((j>(((o&m)>~(~(j)))>~(e)))))
|
(~(~((p&z)))>(~(e)&x))
| 0 | 1 | 0 | 0 |
not entailment
|
(p|(m&(p|(m&z))))
|
((x>p)|((j&m)|(j|m)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(z)|(o|e)))
|
((x>j)|z)
| 1 | 1 | 0 | 0 |
entailment
|
(p|(m&(p|(m&z))))
|
((x>j)|z)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(z)|(o|e)))
|
((x>p)|((j&m)|(j|m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&(~(f)&j))
|
(p|(((x&x)&~(((j&z)|(p>(e>f)))))&~(x)))
| 1 | 0 | 0 | 0 |
entailment
|
~((m|(~(((j>m)|f))>(e&o))))
|
(~(m)|x)
| 1 | 1 | 0 | 0 |
entailment
|
(p&(~(f)&j))
|
(~(m)|x)
| 0 | 1 | 0 | 0 |
not entailment
|
~((m|(~(((j>m)|f))>(e&o))))
|
(p|(((x&x)&~(((j&z)|(p>(e>f)))))&~(x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((j&(x|~((m|~(z)))))))
|
((~((~(x)&j))>j)|((z&e)|m))
| 1 | 1 | 0 | 0 |
entailment
|
~((o|m))
|
~(m)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((j&(x|~((m|~(z)))))))
|
~(m)
| 0 | 1 | 1 | 1 |
not entailment
|
~((o|m))
|
((~((~(x)&j))>j)|((z&e)|m))
| 0 | 0 | 0 | 0 |
not entailment
|
((j>(z&z))>(~(j)>(e&j)))
|
(~(z)>((f&e)|j))
| 1 | 1 | 0 | 0 |
entailment
|
~(((e|((m|p)|x))&((o>((o&z)>m))>(j|m))))
|
((m&x)>z)
| 1 | 1 | 1 | 0 |
entailment
|
((j>(z&z))>(~(j)>(e&j)))
|
((m&x)>z)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((e|((m|p)|x))&((o>((o&z)>m))>(j|m))))
|
(~(z)>((f&e)|j))
| 0 | 1 | 0 | 0 |
not entailment
|
~((m|(f&~(p))))
|
(m>j)
| 1 | 1 | 0 | 0 |
entailment
|
~(((z|~(~(x)))|~((~(o)|m))))
|
(e>(~((x&e))&(x>(e&f))))
| 1 | 1 | 0 | 0 |
entailment
|
~((m|(f&~(p))))
|
(e>(~((x&e))&(x>(e&f))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z|~(~(x)))|~((~(o)|m))))
|
(m>j)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(y>u))
|
((s|p)>(((y>y)|(v|h))&((p|(z|s))>h)))
| 1 | 0 | 0 | 0 |
entailment
|
(((p&s)|h)&~(((p&v)>(h|(h&(p>h))))))
|
((((y&h)&~((u&v)))|v)&~(~(v)))
| 1 | 1 | 0 | 0 |
entailment
|
(h&(y>u))
|
((((y&h)&~((u&v)))|v)&~(~(v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((p&s)|h)&~(((p&v)>(h|(h&(p>h))))))
|
((s|p)>(((y>y)|(v|h))&((p|(z|s))>h)))
| 0 | 1 | 0 | 0 |
not entailment
|
((h&~((y&((s>(v|m))&((z>p)&y)))))&(h&u))
|
(s|(h|((v>(v&s))&((s|y)|(m&(v>~(p)))))))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(((~(h)|(s|y))>s))>(z&u)))
|
~(((u&z)&h))
| 1 | 1 | 1 | 1 |
entailment
|
((h&~((y&((s>(v|m))&((z>p)&y)))))&(h&u))
|
~(((u&z)&h))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(((~(h)|(s|y))>s))>(z&u)))
|
(s|(h|((v>(v&s))&((s|y)|(m&(v>~(p)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&u)
|
(y|u)
| 1 | 1 | 0 | 0 |
entailment
|
((m|p)&((v>(v|~(~((z&u)))))&~((m&m))))
|
(y>p)
| 1 | 1 | 0 | 0 |
entailment
|
(h&u)
|
(y>p)
| 0 | 1 | 0 | 0 |
not entailment
|
((m|p)&((v>(v|~(~((z&u)))))&~((m&m))))
|
(y|u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((~((p&(~(h)&(v>z))))|z))))
|
~(~(~(((~(~((v>s)))>(z&z))|h))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((h&m)))
|
(h|~(u))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((~((p&(~(h)&(v>z))))|z))))
|
(h|~(u))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((h&m)))
|
~(~(~(((~(~((v>s)))>(z&z))|h))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(v)))
|
((v&~(~(y)))>(~(s)&~(s)))
| 1 | 0 | 0 | 0 |
entailment
|
(s&~(~(h)))
|
((((s&(v&y))|h)>(z>p))>(m>h))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(v)))
|
((((s&(v&y))|h)>(z>p))>(m>h))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&~(~(h)))
|
((v&~(~(y)))>(~(s)&~(s)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((h|z)>m))&(h|s))&~(y))
|
((z&y)>((s&s)>~(m)))
| 1 | 1 | 1 | 0 |
entailment
|
(((z>z)>v)&~(~(((~(m)|(p>~(z)))&y))))
|
((z&s)|(((z&v)|v)&v))
| 1 | 1 | 0 | 0 |
entailment
|
((~(((h|z)>m))&(h|s))&~(y))
|
((z&s)|(((z&v)|v)&v))
| 0 | 1 | 0 | 0 |
not entailment
|
(((z>z)>v)&~(~(((~(m)|(p>~(z)))&y))))
|
((z&y)>((s&s)>~(m)))
| 0 | 1 | 0 | 0 |
not entailment
|
((u&z)&z)
|
(((h&~(v))|m)|(u&((y|(s|(y>h)))|z)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(y)|m))
|
(h>((y&h)|s))
| 1 | 1 | 0 | 0 |
entailment
|
((u&z)&z)
|
(h>((y&h)|s))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(y)|m))
|
(((h&~(v))|m)|(u&((y|(s|(y>h)))|z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&~(~((~((v|u))&(u|~((z|(s&m))))))))
|
((v&(~((y|z))>(s&s)))>(v>y))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(u))
|
(p>(h>u))
| 1 | 1 | 0 | 0 |
entailment
|
(m&~(~((~((v|u))&(u|~((z|(s&m))))))))
|
(p>(h>u))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(u))
|
((v&(~((y|z))>(s&s)))>(v>y))
| 0 | 0 | 0 | 0 |
not entailment
|
(((v&s)>((u>p)>v))&(u&y))
|
(v>(u|(((m&(v|v))|(v&m))>s)))
| 1 | 0 | 0 | 0 |
entailment
|
((~((s&z))&~(y))&((v&z)>(~(u)|z)))
|
((y&(u|v))>~(s))
| 1 | 1 | 1 | 1 |
entailment
|
(((v&s)>((u>p)>v))&(u&y))
|
((y&(u|v))>~(s))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((s&z))&~(y))&((v&z)>(~(u)|z)))
|
(v>(u|(((m&(v|v))|(v&m))>s)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(m)&~((h>~(~(v)))))
|
(((m>p)|z)|y)
| 1 | 1 | 0 | 0 |
entailment
|
(~(z)&s)
|
~((((u&h)&((z|(m&v))&(y|~(m))))&(z|z)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(m)&~((h>~(~(v)))))
|
~((((u&h)&((z|(m&v))&(y|~(m))))&(z|z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(z)&s)
|
(((m>p)|z)|y)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((u>p)&(v|(h&~(p))))>~(((s>h)>p))))
|
(((v|(p&u))|(u&p))|y)
| 1 | 1 | 0 | 0 |
entailment
|
~(((m|(m&s))&(u|m)))
|
~((((y|~(p))>m)&(y&h)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((u>p)&(v|(h&~(p))))>~(((s>h)>p))))
|
~((((y|~(p))>m)&(y&h)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((m|(m&s))&(u|m)))
|
(((v|(p&u))|(u&p))|y)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((p>((m|v)&(u&v)))|(y|v)))
|
((h&((h>y)&(m>h)))>((v>s)>p))
| 1 | 1 | 0 | 0 |
entailment
|
~(((h&u)>v))
|
~((((s>h)>~(u))&(((z|h)>z)|h)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((p>((m|v)&(u&v)))|(y|v)))
|
~((((s>h)>~(u))&(((z|h)>z)|h)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((h&u)>v))
|
((h&((h>y)&(m>h)))>((v>s)>p))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&((((y>h)|y)|(((m|y)>p)>(h&v)))>(p&h)))
|
((~((y>v))|(y&~(p)))>h)
| 1 | 1 | 1 | 0 |
entailment
|
~(((m|u)|((~(u)>(y>(m>u)))&(y>v))))
|
~(m)
| 1 | 1 | 1 | 1 |
entailment
|
(y&((((y>h)|y)|(((m|y)>p)>(h&v)))>(p&h)))
|
~(m)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((m|u)|((~(u)>(y>(m>u)))&(y>v))))
|
((~((y>v))|(y&~(p)))>h)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((z&m)|(y>m)))
|
(~((m>u))>p)
| 1 | 1 | 0 | 0 |
entailment
|
~((s|(z|s)))
|
~(((s&u)&(((m|m)|y)|(h|((v&u)&z)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((z&m)|(y>m)))
|
~(((s&u)&(((m|m)|y)|(h|((v&u)&z)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s|(z|s)))
|
(~((m>u))>p)
| 0 | 1 | 0 | 0 |
not entailment
|
((h|h)|(v&~((h>(m&z)))))
|
~(~((((u&m)|m)>(u|(h&m)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((m|u)>p))&(s|(s&(y>z))))
|
(s|z)
| 1 | 1 | 1 | 1 |
entailment
|
((h|h)|(v&~((h>(m&z)))))
|
(s|z)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((m|u)>p))&(s|(s&(y>z))))
|
~(~((((u&m)|m)>(u|(h&m)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&(~((u&v))&~(~(s))))
|
(s|v)
| 1 | 1 | 1 | 0 |
entailment
|
~((~(~(~(((~((h|s))|v)&m))))|(h|s)))
|
(~(z)>~(s))
| 1 | 1 | 0 | 0 |
entailment
|
(m&(~((u&v))&~(~(s))))
|
(~(z)>~(s))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(~(((~((h|s))|v)&m))))|(h|s)))
|
(s|v)
| 0 | 1 | 1 | 0 |
not entailment
|
(u&(((s|~(z))>((h|((s&v)&u))|u))>h))
|
(m|(u&h))
| 1 | 1 | 0 | 0 |
entailment
|
~((((u>p)&~((p&m)))>~(u)))
|
((y&((m&y)&y))>(p|(((y|u)&~(z))>p)))
| 1 | 0 | 0 | 0 |
entailment
|
(u&(((s|~(z))>((h|((s&v)&u))|u))>h))
|
((y&((m&y)&y))>(p|(((y|u)&~(z))>p)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((u>p)&~((p&m)))>~(u)))
|
(m|(u&h))
| 0 | 1 | 0 | 0 |
not entailment
|
((u&m)&u)
|
(((~((z&~(~(y))))|(m&u))>s)>u)
| 1 | 0 | 0 | 0 |
entailment
|
((((v>y)>s)|y)&v)
|
(v|z)
| 1 | 1 | 0 | 0 |
entailment
|
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