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 |
|---|---|---|---|---|---|---|
(((r&(f&~(a)))&(l|f))&b)
|
(((~(~(y))|v)|r)&(((l&x)>l)>x))
| 0 | 0 | 0 | 0 |
not entailment
|
(((x&(x&l))&((a>a)|y))&~(~((r|i))))
|
(x|r)
| 1 | 1 | 1 | 1 |
entailment
|
(~(i)&((y|v)>(r>l)))
|
(~(~((x>~(a))))>((i>(i&y))|y))
| 1 | 0 | 0 | 0 |
entailment
|
(((x&(x&l))&((a>a)|y))&~(~((r|i))))
|
(~(~((x>~(a))))>((i>(i&y))|y))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(i)&((y|v)>(r>l)))
|
(x|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(((i&(~(v)>i))&r)&(b|(i&~(~(v)))))
|
(((x&b)|(l&f))>(i|~(a)))
| 1 | 1 | 0 | 0 |
entailment
|
(((r>v)&(~(l)&x))&(v>l))
|
(~(~(~(((r&v)&~(((a>y)|i))))))>x)
| 1 | 0 | 0 | 0 |
entailment
|
(((i&(~(v)>i))&r)&(b|(i&~(~(v)))))
|
(~(~(~(((r&v)&~(((a>y)|i))))))>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(((r>v)&(~(l)&x))&(v>l))
|
(((x&b)|(l&f))>(i|~(a)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((s&~(o))|(f>c))|(((r|(s|o))|c)>t)))
|
~(~(((o>o)>~((t&o)))))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((s&(r&~(f)))))
|
(~(t)>r)
| 1 | 1 | 0 | 0 |
entailment
|
~((((s&~(o))|(f>c))|(((r|(s|o))|c)>t)))
|
(~(t)>r)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((s&(r&~(f)))))
|
~(~(((o>o)>~((t&o)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t&~((o|g)))&(g|s))
|
(~((s|c))|((g>t)>(((g>~(g))&s)>(o>r))))
| 1 | 0 | 0 | 0 |
entailment
|
(s>~(t))
|
~(((r&t)&~(((f&s)>o))))
| 1 | 0 | 0 | 0 |
entailment
|
((t&~((o|g)))&(g|s))
|
~(((r&t)&~(((f&s)>o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(s>~(t))
|
(~((s|c))|((g>t)>(((g>~(g))&s)>(o>r))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t>(f>s))&(r&~((f>((g&o)&f)))))
|
~(~(((f|r)>((t&s)|f))))
| 1 | 1 | 1 | 0 |
entailment
|
~(((r&~(((g&(f>t))>s)))>~((r>c))))
|
(c&((~(r)&f)>((g&f)>o)))
| 1 | 1 | 0 | 0 |
entailment
|
((t>(f>s))&(r&~((f>((g&o)&f)))))
|
(c&((~(r)&f)>((g&f)>o)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((r&~(((g&(f>t))>s)))>~((r>c))))
|
~(~(((f|r)>((t&s)|f))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((r>(t&(g&(g>r)))))
|
((((~(f)|o)|o)&~(((g>t)>f)))|r)
| 1 | 0 | 0 | 0 |
entailment
|
((t>o)>(((r>t)&(o>o))&f))
|
(r>t)
| 1 | 1 | 1 | 1 |
entailment
|
~((r>(t&(g&(g>r)))))
|
(r>t)
| 0 | 1 | 1 | 0 |
not entailment
|
((t>o)>(((r>t)&(o>o))&f))
|
((((~(f)|o)|o)&~(((g>t)>f)))|r)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(r)|~(t))&t)
|
(~(((c|f)|(~(r)>(t>t))))|(t&(f>t)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((r&s)>~((g&f))))
|
(((o>g)|(t&r))|(g|r))
| 1 | 1 | 0 | 0 |
entailment
|
((~(r)|~(t))&t)
|
(((o>g)|(t&r))|(g|r))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r&s)>~((g&f))))
|
(~(((c|f)|(~(r)>(t>t))))|(t&(f>t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&t)
|
(t|r)
| 1 | 1 | 0 | 0 |
entailment
|
~((o>t))
|
((((g|t)&(f&t))&(~((o>s))|(~(f)>g)))>g)
| 1 | 0 | 0 | 0 |
entailment
|
(c&t)
|
((((g|t)&(f&t))&(~((o>s))|(~(f)>g)))>g)
| 0 | 0 | 0 | 0 |
not entailment
|
~((o>t))
|
(t|r)
| 0 | 1 | 0 | 0 |
not entailment
|
~((f|((r&g)|(((r>t)&(s&~(f)))>~(c)))))
|
(c|~(((s&f)&(f|(~(~(o))|((t>s)&o))))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((c|~((f>g)))>(t|t)))
|
(~((t|r))|(s>r))
| 1 | 1 | 0 | 0 |
entailment
|
~((f|((r&g)|(((r>t)&(s&~(f)))>~(c)))))
|
(~((t|r))|(s>r))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((c|~((f>g)))>(t|t)))
|
(c|~(((s&f)&(f|(~(~(o))|((t>s)&o))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((f>~(r)))
|
(~((t|(s|r)))>(c>r))
| 1 | 0 | 0 | 0 |
entailment
|
~((r|(f>g)))
|
((~(g)|r)>(~(g)|((r>g)&s)))
| 1 | 0 | 0 | 0 |
entailment
|
~((f>~(r)))
|
((~(g)|r)>(~(g)|((r>g)&s)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r|(f>g)))
|
(~((t|(s|r)))>(c>r))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(~(r))&((r>(r>f))>g))))
|
(r&~((~(t)&((r&t)&s))))
| 1 | 1 | 0 | 0 |
entailment
|
(((c|g)&t)&c)
|
(((r|((c|t)&(s>f)))>(c>c))&(t&c))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(~(r))&((r>(r>f))>g))))
|
(((r|((c|t)&(s>f)))>(c>c))&(t&c))
| 0 | 1 | 0 | 0 |
not entailment
|
(((c|g)&t)&c)
|
(r&~((~(t)&((r&t)&s))))
| 0 | 0 | 0 | 0 |
not entailment
|
((g&r)&((f&r)&~(o)))
|
(((c>s)&(c&(~(t)>f)))>~((o&(s&o))))
| 1 | 0 | 0 | 0 |
entailment
|
(((((o&f)&c)|f)&g)&c)
|
(((g&c)&c)|~((~(g)>~(c))))
| 1 | 0 | 1 | 0 |
entailment
|
((g&r)&((f&r)&~(o)))
|
(((g&c)&c)|~((~(g)>~(c))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((o&f)&c)|f)&g)&c)
|
(((c>s)&(c&(~(t)>f)))>~((o&(s&o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&g)
|
((~(t)|~(g))>~(~(g)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((g|o)|t)|r))
|
~(((r&(f&g))&(c|~((f|g)))))
| 1 | 0 | 0 | 0 |
entailment
|
(s&g)
|
~(((r&(f&g))&(c|~((f|g)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((g|o)|t)|r))
|
((~(t)|~(g))>~(~(g)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((t&o)&o)&o)
|
((o>~(((o>r)>o)))>((s>(s>o))&o))
| 1 | 0 | 0 | 0 |
entailment
|
(~(r)&g)
|
((~(s)&(f>f))>(~(~((t&(r&r))))>c))
| 1 | 0 | 0 | 0 |
entailment
|
(((t&o)&o)&o)
|
((~(s)&(f>f))>(~(~((t&(r&r))))>c))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(r)&g)
|
((o>~(((o>r)>o)))>((s>(s>o))&o))
| 0 | 0 | 0 | 0 |
not entailment
|
(t|~(~(((f&t)|t))))
|
((g>t)|(r>o))
| 1 | 1 | 0 | 0 |
entailment
|
(f&g)
|
(~(~(~(~(((r>c)&g)))))|f)
| 1 | 0 | 0 | 0 |
entailment
|
(t|~(~(((f&t)|t))))
|
(~(~(~(~(((r>c)&g)))))|f)
| 0 | 0 | 0 | 0 |
not entailment
|
(f&g)
|
((g>t)|(r>o))
| 0 | 0 | 0 | 0 |
not entailment
|
~(t)
|
(t>((g|~(~(r)))&(s&(t>f))))
| 1 | 0 | 0 | 0 |
entailment
|
((s&(r|c))&o)
|
(~(((s&f)|~((s|r))))|(((o&f)>o)&f))
| 1 | 0 | 0 | 0 |
entailment
|
~(t)
|
(~(((s&f)|~((s|r))))|(((o&f)>o)&f))
| 0 | 0 | 0 | 0 |
not entailment
|
((s&(r|c))&o)
|
(t>((g|~(~(r)))&(s&(t>f))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((t>c)&(r>s))&(((t&g)&t)&(f>(g&o))))
|
(((f&f)&t)>o)
| 1 | 1 | 1 | 1 |
entailment
|
~((r>~(((o&r)|(s|((s|s)&(r&g)))))))
|
(c>((t&s)>(o|r)))
| 1 | 1 | 0 | 0 |
entailment
|
(((t>c)&(r>s))&(((t&g)&t)&(f>(g&o))))
|
(c>((t&s)>(o|r)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((r>~(((o&r)|(s|((s|s)&(r&g)))))))
|
(((f&f)&t)>o)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((c&t))&s)
|
((t|((f|s)|~(r)))|(g>c))
| 1 | 0 | 0 | 0 |
entailment
|
~((s|(~(s)&t)))
|
(s>(~(c)&s))
| 1 | 1 | 0 | 0 |
entailment
|
(~((c&t))&s)
|
(s>(~(c)&s))
| 0 | 1 | 1 | 0 |
not entailment
|
~((s|(~(s)&t)))
|
((t|((f|s)|~(r)))|(g>c))
| 0 | 0 | 0 | 0 |
not entailment
|
((s>(f&(s>s)))&~(((f|(r|o))|o)))
|
~((~(r)&s))
| 1 | 1 | 1 | 0 |
entailment
|
~((t>(((~(c)|(o|c))&((f>g)|r))|g)))
|
(o|t)
| 1 | 1 | 1 | 0 |
entailment
|
((s>(f&(s>s)))&~(((f|(r|o))|o)))
|
(o|t)
| 0 | 1 | 0 | 0 |
not entailment
|
~((t>(((~(c)|(o|c))&((f>g)|r))|g)))
|
~((~(r)&s))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&(z>z))
|
((n|z)|~(~(~(m))))
| 1 | 0 | 0 | 0 |
entailment
|
((x>x)&x)
|
(y>(~(x)>(~(z)&(y&n))))
| 1 | 0 | 0 | 0 |
entailment
|
(z&(z>z))
|
(y>(~(x)>(~(z)&(y&n))))
| 0 | 0 | 0 | 0 |
not entailment
|
((x>x)&x)
|
((n|z)|~(~(~(m))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((x&m)|(x&z))))
|
(z|x)
| 1 | 1 | 1 | 1 |
entailment
|
(~((n>y))&((z|y)>(m|y)))
|
~(((~(z)|(((z>m)>(y|x))>(x>x)))&(y&z)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((x&m)|(x&z))))
|
~(((~(z)|(((z>m)>(y|x))>(x>x)))&(y&z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((n>y))&((z|y)>(m|y)))
|
(z|x)
| 0 | 1 | 0 | 0 |
not entailment
|
((n>(m>m))&(z|((x>(z>m))&z)))
|
(m>((z|y)|(n|(x|y))))
| 1 | 1 | 0 | 0 |
entailment
|
(z>x)
|
(((z|(z|z))>(x&z))|n)
| 1 | 0 | 0 | 0 |
entailment
|
((n>(m>m))&(z|((x>(z>m))&z)))
|
(((z|(z|z))>(x&z))|n)
| 0 | 1 | 1 | 0 |
not entailment
|
(z>x)
|
(m>((z|y)|(n|(x|y))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((y|((n>~(z))&(y>x))))
|
~(((((m&((x&x)&y))>m)&(x&y))&n))
| 1 | 0 | 0 | 0 |
entailment
|
(((m&m)|((n&m)|~((y|x))))&((n>y)&x))
|
(((y|~(z))|(x&(z>m)))|(x>m))
| 1 | 1 | 0 | 0 |
entailment
|
~((y|((n>~(z))&(y>x))))
|
(((y|~(z))|(x&(z>m)))|(x>m))
| 0 | 0 | 0 | 0 |
not entailment
|
(((m&m)|((n&m)|~((y|x))))&((n>y)&x))
|
~(((((m&((x&x)&y))>m)&(x&y))&n))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(~((n&(z>(n>n)))))))
|
(m>n)
| 1 | 1 | 0 | 0 |
entailment
|
((z>x)&x)
|
(x|(~(((z>~(n))>(m|x)))&~(~((n>n)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(~((n&(z>(n>n)))))))
|
(x|(~(((z>~(n))>(m|x)))&~(~((n>n)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((z>x)&x)
|
(m>n)
| 0 | 1 | 0 | 0 |
not entailment
|
(((n>(x|n))|(x&n))&((y&x)|(x|(y&m))))
|
(~(~(((z|(m|x))>m)))|((n|(n&m))|x))
| 1 | 1 | 0 | 0 |
entailment
|
(((z>~(~(x)))|(m>z))>~((m&(y|~(z)))))
|
~((~((m>(n>z)))&~((x&n))))
| 1 | 1 | 0 | 0 |
entailment
|
(((n>(x|n))|(x&n))&((y&x)|(x|(y&m))))
|
~((~((m>(n>z)))&~((x&n))))
| 0 | 1 | 0 | 0 |
not entailment
|
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