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 |
|---|---|---|---|---|---|---|
((((v|(s>m))&(s|m))&g)&k)
|
((s>v)>((((g&g)&(g>v))&s)>~((s|v))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((m|s))
|
(((m>v)&s)>m)
| 1 | 0 | 0 | 0 |
entailment
|
((v>s)&v)
|
(m|(((k>v)|(g&s))>v))
| 1 | 0 | 0 | 0 |
entailment
|
~((m|s))
|
(m|(((k>v)|(g&s))>v))
| 0 | 0 | 0 | 0 |
not entailment
|
((v>s)&v)
|
(((m>v)&s)>m)
| 0 | 0 | 0 | 0 |
not entailment
|
((v>k)&(~(m)>v))
|
(~((m>v))|v)
| 1 | 1 | 1 | 1 |
entailment
|
(s&g)
|
(m>s)
| 1 | 1 | 0 | 0 |
entailment
|
((v>k)&(~(m)>v))
|
(m>s)
| 0 | 1 | 0 | 0 |
not entailment
|
(s&g)
|
(~((m>v))|v)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(((m>g)>s))&(~(g)&(v>s)))>v))
|
(~(v)|k)
| 1 | 1 | 0 | 0 |
entailment
|
((((v>~(g))|(s|g))>v)&(m|(s&g)))
|
(s|(v|(g&m)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(((m>g)>s))&(~(g)&(v>s)))>v))
|
(s|(v|(g&m)))
| 0 | 1 | 1 | 0 |
not entailment
|
((((v>~(g))|(s|g))>v)&(m|(s&g)))
|
(~(v)|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(((m|m)|~((~((g>m))&(m>(k>m)))))&(v&s))
|
(~(((m>v)>(m&k)))|(v&v))
| 1 | 1 | 1 | 0 |
entailment
|
(k&s)
|
(((g&s)|~(s))>k)
| 1 | 0 | 0 | 0 |
entailment
|
(((m|m)|~((~((g>m))&(m>(k>m)))))&(v&s))
|
(((g&s)|~(s))>k)
| 0 | 1 | 1 | 0 |
not entailment
|
(k&s)
|
(~(((m>v)>(m&k)))|(v&v))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((m|s)>(~(~(~((s|g))))|m)))
|
((s>v)>(((v&(k>s))>((v>g)>s))|s))
| 1 | 1 | 0 | 0 |
entailment
|
~((m>s))
|
((m|(g&k))|~((((v|k)&k)|k)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((m|s)>(~(~(~((s|g))))|m)))
|
((m|(g&k))|~((((v|k)&k)|k)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((m>s))
|
((s>v)>(((v&(k>s))>((v>g)>s))|s))
| 0 | 0 | 0 | 0 |
not entailment
|
~(s)
|
(v>(~((s>(v&m)))|~(((s&m)|(s&s)))))
| 1 | 0 | 0 | 0 |
entailment
|
(g&~(k))
|
(k>~((((k>g)>((s>s)|v))&((g|k)>g))))
| 1 | 0 | 0 | 0 |
entailment
|
~(s)
|
(k>~((((k>g)>((s>s)|v))&((g|k)>g))))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&~(k))
|
(v>(~((s>(v&m)))|~(((s&m)|(s&s)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((g&((s>s)|~(s)))&(k&(~(v)&g)))
|
(g|~((~(k)&v)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((m|((((s>k)&v)>((k|s)&k))|s))|k))
|
(m|v)
| 1 | 1 | 1 | 0 |
entailment
|
((g&((s>s)|~(s)))&(k&(~(v)&g)))
|
(m|v)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((m|((((s>k)&v)>((k|s)&k))|s))|k))
|
(g|~((~(k)&v)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((v|r)&(m>u))&m)
|
(m|~(x))
| 1 | 1 | 0 | 0 |
entailment
|
(r&x)
|
~(~((((~((u&~(n)))|v)&(r&n))>x)))
| 1 | 0 | 0 | 0 |
entailment
|
(((v|r)&(m>u))&m)
|
~(~((((~((u&~(n)))|v)&(r&n))>x)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&x)
|
(m|~(x))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(v)&u)&r)
|
(r|(r|(u|~((v|n)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((u|(n&(~((~(~(u))&x))&(m>n)))))
|
(u>m)
| 1 | 1 | 1 | 1 |
entailment
|
((~(v)&u)&r)
|
(u>m)
| 0 | 1 | 0 | 0 |
not entailment
|
~((u|(n&(~((~(~(u))&x))&(m>n)))))
|
(r|(r|(u|~((v|n)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(r)
|
(x>((n&~(x))|~(r)))
| 1 | 0 | 0 | 0 |
entailment
|
((((v|u)>u)>x)&(x&n))
|
(n|((((n&n)&n)>x)>(x>u)))
| 1 | 0 | 1 | 0 |
entailment
|
~(r)
|
(n|((((n&n)&n)>x)>(x>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((v|u)>u)>x)&(x&n))
|
(x>((n&~(x))|~(r)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(x)&(~((x|n))&~(v)))
|
~((~(~((m>(u|m))))&(n&m)))
| 1 | 0 | 0 | 0 |
entailment
|
((((((v&u)&(n|x))>x)>x)&(u|u))&(v&r))
|
(~(v)>(u&u))
| 1 | 1 | 1 | 1 |
entailment
|
(~(x)&(~((x|n))&~(v)))
|
(~(v)>(u&u))
| 0 | 1 | 0 | 0 |
not entailment
|
((((((v&u)&(n|x))>x)>x)&(u|u))&(v&r))
|
~((~(~((m>(u|m))))&(n&m)))
| 0 | 1 | 0 | 0 |
not entailment
|
(n|((v&v)&~(~((v&n)))))
|
((x&(x|~(u)))>((n|(m>~(u)))&x))
| 1 | 0 | 0 | 0 |
entailment
|
(~(v)&((~(x)|((x>n)|r))&(v>x)))
|
(v>u)
| 1 | 1 | 0 | 0 |
entailment
|
(n|((v&v)&~(~((v&n)))))
|
(v>u)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(v)&((~(x)|((x>n)|r))&(v>x)))
|
((x&(x|~(u)))>((n|(m>~(u)))&x))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((u&~(((x&u)>m)))>~(x)))
|
(~(~(((x|m)&(m|u))))|~((v&v)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(r)|~((x|u))))
|
(m|(n>r))
| 1 | 1 | 0 | 0 |
entailment
|
~(((u&~(((x&u)>m)))>~(x)))
|
(m|(n>r))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(r)|~((x|u))))
|
(~(~(((x|m)&(m|u))))|~((v&v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((~(((n|(m|v))|r))|u))|u))
|
~(n)
| 1 | 1 | 1 | 1 |
entailment
|
(((m&(((v&u)|n)|(n&(r|n))))&(~(u)|r))|n)
|
(~(((u>v)|x))|(((n|n)|v)|~((u|x))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((~(((n|(m|v))|r))|u))|u))
|
(~(((u>v)|x))|(((n|n)|v)|~((u|x))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((m&(((v&u)|n)|(n&(r|n))))&(~(u)|r))|n)
|
~(n)
| 0 | 1 | 1 | 0 |
not entailment
|
(x&u)
|
(((x&x)>(r>(v>n)))|(m>u))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(v)&m))&m)
|
(n|(~(u)|v))
| 1 | 1 | 0 | 0 |
entailment
|
(x&u)
|
(n|(~(u)|v))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(v)&m))&m)
|
(((x&x)>(r>(v>n)))|(m>u))
| 0 | 0 | 0 | 0 |
not entailment
|
~((v>m))
|
(~(m)|((n&x)|~(~(((n&m)&x)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((~((x&u))>u)>v)>(r>~(((x|m)&x)))))
|
((v>x)&((n|r)|(u|n)))
| 1 | 1 | 0 | 0 |
entailment
|
~((v>m))
|
((v>x)&((n|r)|(u|n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~((x&u))>u)>v)>(r>~(((x|m)&x)))))
|
(~(m)|((n&x)|~(~(((n&m)&x)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((m|~(r))&u)
|
((m|(x|u))|(((m>(x&(r&r)))&v)|((m|r)>n)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((n>n)>~(u))))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
((m|~(r))&u)
|
~(u)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((n>n)>~(u))))
|
((m|(x|u))|(((m>(x&(r&r)))&v)|((m|r)>n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((v|m))
|
((m>~(m))|(~(((u&(x|(n|r)))&(x>u)))>u))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(~((r&x)))|((x&r)|x))>u))
|
(x&(~((u>(u|x)))>m))
| 1 | 1 | 0 | 0 |
entailment
|
~((v|m))
|
(x&(~((u>(u|x)))>m))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(~((r&x)))|((x&r)|x))>u))
|
((m>~(m))|(~(((u&(x|(n|r)))&(x>u)))>u))
| 0 | 0 | 0 | 0 |
not entailment
|
((n|(u>(u>u)))&((v&r)&(u&r)))
|
((v&n)>u)
| 1 | 1 | 1 | 0 |
entailment
|
~(((n&~(v))|r))
|
((((r&m)&x)&r)>(~(x)&(v|((m|(n|v))|x))))
| 1 | 0 | 0 | 0 |
entailment
|
((n|(u>(u>u)))&((v&r)&(u&r)))
|
((((r&m)&x)&r)>(~(x)&(v|((m|(n|v))|x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((n&~(v))|r))
|
((v&n)>u)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&(x>n))
|
(~((x>v))>n)
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(x)|u)|(m&m)))
|
(x|x)
| 1 | 1 | 1 | 1 |
entailment
|
(r&(x>n))
|
(x|x)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~(x)|u)|(m&m)))
|
(~((x>v))>n)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(x)&(n|m))
|
(n>~((x|x)))
| 1 | 1 | 1 | 0 |
entailment
|
((u&x)&(((r>u)|(m|(x&u)))|(m|n)))
|
((n>v)>((u|u)|n))
| 1 | 1 | 0 | 0 |
entailment
|
(~(x)&(n|m))
|
((n>v)>((u|u)|n))
| 0 | 0 | 0 | 0 |
not entailment
|
((u&x)&(((r>u)|(m|(x&u)))|(m|n)))
|
(n>~((x|x)))
| 0 | 1 | 1 | 0 |
not entailment
|
((x|(v>x))>u)
|
((m>((v>u)>(x>u)))|~(((m>r)>(u&x))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((r|n))|~(r))
|
(((r>x)|u)|n)
| 1 | 1 | 0 | 0 |
entailment
|
((x|(v>x))>u)
|
(((r>x)|u)|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((r|n))|~(r))
|
((m>((v>u)>(x>u)))|~(((m>r)>(u&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(z)&(z>z))|z)&z)
|
((z&(z|(x|x)))&(((x&z)&z)|((z|z)|(x&x))))
| 1 | 0 | 0 | 0 |
entailment
|
(((z|z)|(((z>x)|z)|(x|z)))&~(~(x)))
|
(x&x)
| 1 | 1 | 1 | 1 |
entailment
|
(((~(z)&(z>z))|z)&z)
|
(x&x)
| 0 | 1 | 0 | 0 |
not entailment
|
(((z|z)|(((z>x)|z)|(x|z)))&~(~(x)))
|
((z&(z|(x|x)))&(((x&z)&z)|((z|z)|(x&x))))
| 0 | 0 | 1 | 1 |
not entailment
|
(((z>z)&z)|~((z>(x&x))))
|
(x>z)
| 1 | 1 | 1 | 1 |
entailment
|
((z>x)|~((~(((x>z)&~((x|x))))|(x|z))))
|
~((~(x)&z))
| 1 | 1 | 1 | 1 |
entailment
|
(((z>z)&z)|~((z>(x&x))))
|
~((~(x)&z))
| 0 | 1 | 1 | 0 |
not entailment
|
((z>x)|~((~(((x>z)&~((x|x))))|(x|z))))
|
(x>z)
| 0 | 1 | 1 | 1 |
not entailment
|
(x&(((z>z)&(x&(z&~(z))))>(z&x)))
|
((z&~((~(z)&z)))|x)
| 1 | 1 | 1 | 1 |
entailment
|
~(((z|x)|x))
|
(z>~((x&z)))
| 1 | 1 | 1 | 1 |
entailment
|
(x&(((z>z)&(x&(z&~(z))))>(z&x)))
|
(z>~((x&z)))
| 0 | 1 | 1 | 1 |
not entailment
|
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