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 |
|---|---|---|---|---|---|---|
(n&x)
|
~(~(((r&f)|n)))
| 1 | 0 | 0 | 0 |
entailment
|
(l&r)
|
(l|(f&l))
| 1 | 0 | 0 | 0 |
entailment
|
(n&x)
|
(l|(f&l))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&r)
|
~(~(((r&f)|n)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&((r>f)&r))
|
(~((((x&r)>~(n))>f))|(x>(f|(z&n))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(r)&x)|x)
|
((x|(z|z))|(x|(~((z|n))&((n&r)|x))))
| 1 | 0 | 0 | 0 |
entailment
|
(r&((r>f)&r))
|
((x|(z|z))|(x|(~((z|n))&((n&r)|x))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(r)&x)|x)
|
(~((((x&r)>~(n))>f))|(x>(f|(z&n))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((z>l)|x)&l)&x))
|
~(((x&(((f>r)&(z&x))>r))&(~(l)>~(x))))
| 1 | 0 | 0 | 0 |
entailment
|
(l&(x&(n|n)))
|
(l&(((r&(((x>f)>n)&l))|r)>((f|r)&x)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((z>l)|x)&l)&x))
|
(l&(((r&(((x>f)>n)&l))|r)>((f|r)&x)))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&(x&(n|n)))
|
~(((x&(((f>r)&(z&x))>r))&(~(l)>~(x))))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&x)
|
(x&(~((n|f))>(x|(~(z)>x))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((r>(z|l))>z)>((l>~((l&x)))>(r>x))))
|
(r|l)
| 1 | 1 | 1 | 0 |
entailment
|
(n&x)
|
(r|l)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((r>(z|l))>z)>((l>~((l&x)))>(r>x))))
|
(x&(~((n|f))>(x|(~(z)>x))))
| 0 | 1 | 0 | 0 |
not entailment
|
(n&((z>~((x>n)))|z))
|
(((~(z)>(f&z))|(r>n))>((x|l)|(n|z)))
| 1 | 0 | 0 | 0 |
entailment
|
~(r)
|
(n>(r>l))
| 1 | 0 | 0 | 0 |
entailment
|
(n&((z>~((x>n)))|z))
|
(n>(r>l))
| 0 | 1 | 0 | 0 |
not entailment
|
~(r)
|
(((~(z)>(f&z))|(r>n))>((x|l)|(n|z)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((x&n))&(x>n)))
|
((~(~((n>(~(((l>x)&r))&r))))|x)>x)
| 1 | 0 | 0 | 0 |
entailment
|
((r>l)&((l>z)&~(x)))
|
((~(f)>~(l))|((~(r)>(x|n))>((f&r)|z)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((x&n))&(x>n)))
|
((~(f)>~(l))|((~(r)>(x|n))>((f&r)|z)))
| 0 | 0 | 0 | 0 |
not entailment
|
((r>l)&((l>z)&~(x)))
|
((~(~((n>(~(((l>x)&r))&r))))|x)>x)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((n|f))&~(((r>x)&(z|f))))
|
((n>f)|r)
| 1 | 1 | 1 | 0 |
entailment
|
(((~(~(z))>x)&((l>(x>r))|~(f)))|(f&l))
|
(((((z|f)>f)>z)&f)|(z>x))
| 1 | 1 | 1 | 0 |
entailment
|
(~((n|f))&~(((r>x)&(z|f))))
|
(((((z|f)>f)>z)&f)|(z>x))
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(~(z))>x)&((l>(x>r))|~(f)))|(f&l))
|
((n>f)|r)
| 0 | 1 | 0 | 0 |
not entailment
|
~((f>~(~(n))))
|
((z|(n&(f&n)))>((l&r)|f))
| 1 | 0 | 0 | 0 |
entailment
|
(l&((l|(r&f))&(z&(x>(~((l&f))>x)))))
|
(r>z)
| 1 | 1 | 1 | 0 |
entailment
|
~((f>~(~(n))))
|
(r>z)
| 0 | 1 | 0 | 0 |
not entailment
|
(l&((l|(r&f))&(z&(x>(~((l&f))>x)))))
|
((z|(n&(f&n)))>((l&r)|f))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((x&f))|(x>r)))
|
(((r|r)>(((~(~(r))|(~(x)&l))|f)&z))|f)
| 1 | 0 | 0 | 0 |
entailment
|
(n&(z|x))
|
~(~((~(n)>(((((n&n)|z)|(l|l))|x)&n))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((x&f))|(x>r)))
|
~(~((~(n)>(((((n&n)|z)|(l|l))|x)&n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&(z|x))
|
(((r|r)>(((~(~(r))|(~(x)&l))|f)&z))|f)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((l&r)&(r&x))))
|
(~(f)>(l&~(f)))
| 1 | 1 | 0 | 0 |
entailment
|
~((r|(f&f)))
|
(~(z)>~((~((n|f))&((x|l)&((r|r)|z)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((l&r)&(r&x))))
|
(~(z)>~((~((n|f))&((x|l)&((r|r)|z)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r|(f&f)))
|
(~(f)>(l&~(f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&r)
|
(~(((f>x)|r))>((z>r)>l))
| 1 | 0 | 0 | 0 |
entailment
|
(l>~(z))
|
(z>~((x&l)))
| 1 | 0 | 0 | 0 |
entailment
|
(l&r)
|
(z>~((x&l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(l>~(z))
|
(~(((f>x)|r))>((z>r)>l))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((((r|r)&((z&x)&z))>(z&~(z)))))&l)
|
(~(r)>(~(~(((n|z)|l)))|l))
| 1 | 1 | 0 | 0 |
entailment
|
(((f>n)>(f>x))&~(((r|z)&((n>z)|(x>z)))))
|
(~(~((r>(n|z))))|((n|~(~((z&l))))|z))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((((r|r)&((z&x)&z))>(z&~(z)))))&l)
|
(~(~((r>(n|z))))|((n|~(~((z&l))))|z))
| 0 | 1 | 0 | 0 |
not entailment
|
(((f>n)>(f>x))&~(((r|z)&((n>z)|(x>z)))))
|
(~(r)>(~(~(((n|z)|l)))|l))
| 0 | 1 | 0 | 0 |
not entailment
|
(r>~(((f>(n|r))|((r|l)>z))))
|
(~((z&l))|(x>(r>~(n))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(f)&((z|z)&n))
|
(~(~(x))|~((~((n>x))>x)))
| 1 | 0 | 0 | 0 |
entailment
|
(r>~(((f>(n|r))|((r|l)>z))))
|
(~(~(x))|~((~((n>x))>x)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(f)&((z|z)&n))
|
(~((z&l))|(x>(r>~(n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(l)&(n&r))
|
(~(~((r>z)))>z)
| 1 | 0 | 0 | 0 |
entailment
|
~((x>((((f|l)|r)>f)>(~((l|r))|r))))
|
(l|l)
| 1 | 1 | 1 | 1 |
entailment
|
(~(l)&(n&r))
|
(l|l)
| 0 | 1 | 1 | 0 |
not entailment
|
~((x>((((f|l)|r)>f)>(~((l|r))|r))))
|
(~(~((r>z)))>z)
| 0 | 1 | 0 | 0 |
not entailment
|
(n&z)
|
(f>(f>(((~((l&~(n)))|z)&n)|x)))
| 1 | 0 | 0 | 0 |
entailment
|
~((z>l))
|
~(((n|l)&~((z>~(l)))))
| 1 | 0 | 0 | 0 |
entailment
|
(n&z)
|
~(((n|l)&~((z>~(l)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((z>l))
|
(f>(f>(((~((l&~(n)))|z)&n)|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((z>f)|l)>(((x>(f&f))&x)|(x|f))))
|
((x&l)>(z&(f&n)))
| 1 | 1 | 0 | 0 |
entailment
|
(((r&n)&(r|z))&l)
|
(l|(~((z>x))&l))
| 1 | 1 | 0 | 0 |
entailment
|
~((((z>f)|l)>(((x>(f&f))&x)|(x|f))))
|
(l|(~((z>x))&l))
| 0 | 1 | 1 | 0 |
not entailment
|
(((r&n)&(r|z))&l)
|
((x&l)>(z&(f&n)))
| 0 | 1 | 0 | 0 |
not entailment
|
((s|n)&((c>(c|c))&(e&(~((s>n))&(c&k)))))
|
(~(e)>~((~((g&v))&~(e))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(g)>(s|(c|(s|e)))))
|
((~(s)>g)>~((s>s)))
| 1 | 1 | 1 | 0 |
entailment
|
((s|n)&((c>(c|c))&(e&(~((s>n))&(c&k)))))
|
((~(s)>g)>~((s>s)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(g)>(s|(c|(s|e)))))
|
(~(e)>~((~((g&v))&~(e))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((n>~(~((((c>s)|g)|(v>s))))))
|
(g>c)
| 1 | 1 | 1 | 1 |
entailment
|
(~((k>((n>s)>c)))&(e|~(~(~(n)))))
|
(g|(c>(n&k)))
| 1 | 1 | 0 | 0 |
entailment
|
~((n>~(~((((c>s)|g)|(v>s))))))
|
(g|(c>(n&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((k>((n>s)>c)))&(e|~(~(~(n)))))
|
(g>c)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&v)
|
((e|v)|~(((s|~(k))>(k|g))))
| 1 | 0 | 0 | 0 |
entailment
|
(n&~((g|c)))
|
((s|(k>s))|n)
| 1 | 1 | 0 | 0 |
entailment
|
(c&v)
|
((s|(k>s))|n)
| 0 | 0 | 0 | 0 |
not entailment
|
(n&~((g|c)))
|
((e|v)|~(((s|~(k))>(k|g))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&((c>n)|(g|(g>c))))
|
(~((((n&e)|(g>(v>k)))|c))>k)
| 1 | 0 | 0 | 0 |
entailment
|
(n&v)
|
((~((s|s))>~(v))>((c>g)>v))
| 1 | 0 | 0 | 0 |
entailment
|
(c&((c>n)|(g|(g>c))))
|
((~((s|s))>~(v))>((c>g)>v))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&v)
|
(~((((n&e)|(g>(v>k)))|c))>k)
| 0 | 0 | 0 | 0 |
not entailment
|
((n&(s&c))&~((~(~(k))&~(~(~(c))))))
|
((g|(n&s))>((n&v)|s))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((n&c))&g)>((s|e)>k)))
|
(((s>k)&s)>(n&~(~((~(s)&k)))))
| 1 | 0 | 1 | 0 |
entailment
|
((n&(s&c))&~((~(~(k))&~(~(~(c))))))
|
(((s>k)&s)>(n&~(~((~(s)&k)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~((n&c))&g)>((s|e)>k)))
|
((g|(n&s))>((n&v)|s))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(c)&(e>((n|k)>c)))
|
(c>((c>v)>s))
| 1 | 1 | 0 | 0 |
entailment
|
(c&(~((n|e))|~(((e>c)&c))))
|
~((((s>n)&(~(k)&e))&~((~(g)|k))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(c)&(e>((n|k)>c)))
|
~((((s>n)&(~(k)&e))&~((~(g)|k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&(~((n|e))|~(((e>c)&c))))
|
(c>((c>v)>s))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(g)&(~(c)&c))&((v>c)>s))|n)
|
((k&(n&s))|((c&e)>n))
| 1 | 1 | 0 | 0 |
entailment
|
(c&~(~((s|c))))
|
(~((k&k))|c)
| 1 | 1 | 0 | 0 |
entailment
|
(((~(g)&(~(c)&c))&((v>c)>s))|n)
|
(~((k&k))|c)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&~(~((s|c))))
|
((k&(n&s))|((c&e)>n))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c&c))
|
(~((~(~(c))&k))|~(((e|(e|c))>(v>n))))
| 1 | 0 | 0 | 0 |
entailment
|
((s|~(e))&~((~((k>v))>(~(g)&g))))
|
(e>(~((((e>s)>k)&(c>g)))>~(g)))
| 1 | 1 | 0 | 0 |
entailment
|
~((c&c))
|
(e>(~((((e>s)>k)&(c>g)))>~(g)))
| 0 | 0 | 0 | 0 |
not entailment
|
((s|~(e))&~((~((k>v))>(~(g)&g))))
|
(~((~(~(c))&k))|~(((e|(e|c))>(v>n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&((g|s)>n))
|
(e|(k&e))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(e)>v))
|
~((((((n|c)>((k&v)&e))&k)&s)&((g&e)&k)))
| 1 | 0 | 0 | 0 |
entailment
|
(e&((g|s)>n))
|
~((((((n|c)>((k&v)&e))&k)&s)&((g&e)&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(e)>v))
|
(e|(k&e))
| 0 | 1 | 0 | 0 |
not entailment
|
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