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&((k>g)|(k|z)))&(c&(f&c)))
|
(n|(l>f))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(((g&t)|c))))
|
~((~(~(c))&f))
| 1 | 1 | 0 | 0 |
entailment
|
((n&((k>g)|(k|z)))&(c&(f&c)))
|
~((~(~(c))&f))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(((g&t)|c))))
|
(n|(l>f))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~(c)&(r&((r>n)|c)))))
|
((~(n)&g)|(((c&f)>g)&((r|r)&(r|r))))
| 1 | 0 | 0 | 0 |
entailment
|
(c&~(~((((g|(c|(f&k)))>k)|~(f)))))
|
(((z>z)&((k>f)&n))>c)
| 1 | 1 | 0 | 0 |
entailment
|
~(~((~(c)&(r&((r>n)|c)))))
|
(((z>z)&((k>f)&n))>c)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&~(~((((g|(c|(f&k)))>k)|~(f)))))
|
((~(n)&g)|(((c&f)>g)&((r|r)&(r|r))))
| 0 | 1 | 0 | 0 |
not entailment
|
((t&g)&~(~(~((n|z)))))
|
((z>(f&g))&((c&k)|(c|t)))
| 1 | 1 | 0 | 0 |
entailment
|
(((c&c)&~((~(t)>l)))&(f&k))
|
((f&t)>(l|n))
| 1 | 1 | 0 | 0 |
entailment
|
((t&g)&~(~(~((n|z)))))
|
((f&t)>(l|n))
| 0 | 1 | 0 | 0 |
not entailment
|
(((c&c)&~((~(t)>l)))&(f&k))
|
((z>(f&g))&((c&k)|(c|t)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(k)
|
(~(((f>((k&f)&~(f)))|t))>(t|((k&l)>c)))
| 1 | 0 | 0 | 0 |
entailment
|
(((z>(r&r))>~(~(~((c>g)))))&~((l>c)))
|
(l|c)
| 1 | 1 | 1 | 1 |
entailment
|
~(k)
|
(l|c)
| 0 | 1 | 0 | 0 |
not entailment
|
(((z>(r&r))>~(~(~((c>g)))))&~((l>c)))
|
(~(((f>((k&f)&~(f)))|t))>(t|((k&l)>c)))
| 0 | 1 | 0 | 0 |
not entailment
|
((c&(l&g))&(((f>z)|l)&(r>(c>t))))
|
(l>g)
| 1 | 1 | 1 | 0 |
entailment
|
(c&z)
|
(z|t)
| 1 | 1 | 0 | 0 |
entailment
|
((c&(l&g))&(((f>z)|l)&(r>(c>t))))
|
(z|t)
| 0 | 1 | 1 | 1 |
not entailment
|
(c&z)
|
(l>g)
| 0 | 1 | 0 | 0 |
not entailment
|
(n&l)
|
(z>(n>(l&z)))
| 1 | 0 | 0 | 0 |
entailment
|
((((c|f)|~((g>k)))>(z>z))&t)
|
(t|((l>g)&n))
| 1 | 1 | 0 | 0 |
entailment
|
(n&l)
|
(t|((l>g)&n))
| 0 | 0 | 0 | 0 |
not entailment
|
((((c|f)|~((g>k)))>(z>z))&t)
|
(z>(n>(l&z)))
| 0 | 1 | 0 | 0 |
not entailment
|
(c|l)
|
(((r>l)|c)|(k|((c&n)&r)))
| 1 | 0 | 0 | 0 |
entailment
|
~(g)
|
~((((f&(c>t))|~((r|f)))&((g&z)&c)))
| 1 | 0 | 0 | 0 |
entailment
|
(c|l)
|
~((((f&(c>t))|~((r|f)))&((g&z)&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(g)
|
(((r>l)|c)|(k|((c&n)&r)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((n>~(k)))
|
(~(~((f&c)))|(n|r))
| 1 | 0 | 0 | 0 |
entailment
|
(((g&l)&~(k))&~((~(~((z|g)))&(f>k))))
|
(g>((k>z)>((t&t)>f)))
| 1 | 1 | 0 | 0 |
entailment
|
~((n>~(k)))
|
(g>((k>z)>((t&t)>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((g&l)&~(k))&~((~(~((z|g)))&(f>k))))
|
(~(~((f&c)))|(n|r))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((g>l)&f)))
|
~((~(f)&(((z|k)>g)|t)))
| 1 | 0 | 0 | 0 |
entailment
|
(g&(~(k)>(~(c)>r)))
|
(z>g)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((g>l)&f)))
|
(z>g)
| 0 | 1 | 0 | 0 |
not entailment
|
(g&(~(k)>(~(c)>r)))
|
~((~(f)&(((z|k)>g)|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((k|~((~((t&(t|f)))&n))))
|
(t>((k|c)>~(l)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((r>g)>(z|c)))
|
(~(z)|c)
| 1 | 1 | 1 | 0 |
entailment
|
~((k|~((~((t&(t|f)))&n))))
|
(~(z)|c)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((r>g)>(z|c)))
|
(t>((k|c)>~(l)))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&(l>(((r&k)>(k|(l|c)))|~(c))))
|
(f|n)
| 1 | 1 | 0 | 0 |
entailment
|
~(((g&(r|t))>f))
|
(~(f)|~(~(~(((g&r)|f)))))
| 1 | 0 | 1 | 0 |
entailment
|
(f&(l>(((r&k)>(k|(l|c)))|~(c))))
|
(~(f)|~(~(~(((g&r)|f)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((g&(r|t))>f))
|
(f|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(x&~((z&z)))
|
((((x>z)|(z|(x&x)))&(x|x))|x)
| 1 | 0 | 1 | 0 |
entailment
|
(~(x)&(x|z))
|
(z|~((x|z)))
| 1 | 1 | 1 | 0 |
entailment
|
(x&~((z&z)))
|
(z|~((x|z)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(x)&(x|z))
|
((((x>z)|(z|(x&x)))&(x|x))|x)
| 0 | 0 | 1 | 1 |
not entailment
|
(((z&z)|(z|z))|(~((x>x))&~(x)))
|
~(~(z))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((x|(x&~(z)))))
|
((x&((x>z)&(z&z)))|(x|((z&x)&(z>x))))
| 1 | 0 | 1 | 0 |
entailment
|
(((z&z)|(z|z))|(~((x>x))&~(x)))
|
((x&((x>z)&(z&z)))|(x|((z&x)&(z>x))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((x|(x&~(z)))))
|
~(~(z))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((x|((x>x)&(x|x)))))
|
(((x&x)|x)&(x>(~((~(x)&~(x)))&x)))
| 1 | 0 | 1 | 1 |
entailment
|
((~((~((z&x))|x))&x)|z)
|
((z>(x>x))&(z&(z>(z|z))))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((x|((x>x)&(x|x)))))
|
((z>(x>x))&(z&(z>(z|z))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((~((z&x))|x))&x)|z)
|
(((x&x)|x)&(x>(~((~(x)&~(x)))&x)))
| 0 | 0 | 1 | 1 |
not entailment
|
(((z|((z>z)&~(x)))>(z>x))&x)
|
(x&((x>(((z>x)|(((z&(x&x))&z)>z))|z))&x))
| 1 | 0 | 1 | 0 |
entailment
|
((z&(z>z))&(~(z)>~(z)))
|
(z&(z|z))
| 1 | 1 | 1 | 1 |
entailment
|
(((z|((z>z)&~(x)))>(z>x))&x)
|
(z&(z|z))
| 0 | 1 | 1 | 1 |
not entailment
|
((z&(z>z))&(~(z)>~(z)))
|
(x&((x>(((z>x)|(((z&(x&x))&z)>z))|z))&x))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((z>((z|x)|x))&z))&~(z))>x)
|
((x&x)|~(~(((z>z)>z))))
| 1 | 1 | 1 | 1 |
entailment
|
(~(z)&(~((z|x))|(z&z)))
|
((z&(~(x)|(x&x)))>(((x|z)|z)&~(x)))
| 1 | 0 | 1 | 0 |
entailment
|
((~(((z>((z|x)|x))&z))&~(z))>x)
|
((z&(~(x)|(x&x)))>(((x|z)|z)&~(x)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(z)&(~((z|x))|(z&z)))
|
((x&x)|~(~(((z>z)>z))))
| 0 | 1 | 1 | 0 |
not entailment
|
((z>z)>(x&z))
|
(z&(~(~((x&(z&x))))|(x>(x&z))))
| 1 | 0 | 1 | 0 |
entailment
|
(x&~(((x&z)&z)))
|
((x>((z&x)&((z&z)>z)))>~(z))
| 1 | 0 | 1 | 0 |
entailment
|
((z>z)>(x&z))
|
((x>((z&x)&((z&z)>z)))>~(z))
| 0 | 0 | 1 | 0 |
not entailment
|
(x&~(((x&z)&z)))
|
(z&(~(~((x&(z&x))))|(x>(x&z))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(((x&z)&(x&z))))
|
(x&(~(~(~(~(x))))|(z&x)))
| 1 | 0 | 1 | 1 |
entailment
|
((z&((~(z)|z)&~(z)))|~(x))
|
(x>~((z>z)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((x&z)&(x&z))))
|
(x>~((z>z)))
| 0 | 1 | 1 | 0 |
not entailment
|
((z&((~(z)|z)&~(z)))|~(x))
|
(x&(~(~(~(~(x))))|(z&x)))
| 0 | 1 | 1 | 0 |
not entailment
|
(z|((z>((~((z|((z>x)&x)))&x)|x))&x))
|
(z|x)
| 1 | 1 | 1 | 1 |
entailment
|
(((z>(z&(x&z)))>x)>(~(x)&(x>z)))
|
(~(x)|~(z))
| 1 | 1 | 1 | 1 |
entailment
|
(z|((z>((~((z|((z>x)&x)))&x)|x))&x))
|
(~(x)|~(z))
| 0 | 1 | 1 | 1 |
not entailment
|
(((z>(z&(x&z)))>x)>(~(x)&(x>z)))
|
(z|x)
| 0 | 1 | 1 | 1 |
not entailment
|
~(~((x|x)))
|
~((x>(x&~((((x>x)|x)&(x>x))))))
| 1 | 0 | 1 | 0 |
entailment
|
~((((z&x)|x)|z))
|
((((x>x)>z)|~((z>z)))|~(~(~(x))))
| 1 | 0 | 1 | 0 |
entailment
|
~(~((x|x)))
|
((((x>x)>z)|~((z>z)))|~(~(~(x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((z&x)|x)|z))
|
~((x>(x&~((((x>x)|x)&(x>x))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(k&(~((c&c))&b))
|
(b>(k|c))
| 1 | 1 | 1 | 0 |
entailment
|
(~((~(b)>c))|(b>y))
|
(((c>k)>(b&((b>y)>m)))>(k>y))
| 1 | 0 | 0 | 0 |
entailment
|
(k&(~((c&c))&b))
|
(((c>k)>(b&((b>y)>m)))>(k>y))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(b)>c))|(b>y))
|
(b>(k|c))
| 0 | 1 | 0 | 0 |
not entailment
|
((c&((~((c|k))>k)>k))&((m|a)>~((y|k))))
|
(k&(k&(m|c)))
| 1 | 1 | 1 | 0 |
entailment
|
(m&(~(~(~((b>(a|y)))))>y))
|
(a|((b>y)|((h&y)|(h&b))))
| 1 | 1 | 0 | 0 |
entailment
|
((c&((~((c|k))>k)>k))&((m|a)>~((y|k))))
|
(a|((b>y)|((h&y)|(h&b))))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&(~(~(~((b>(a|y)))))>y))
|
(k&(k&(m|c)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(a)&c)
|
((~((((k>k)|y)>(m|m)))&b)>c)
| 1 | 0 | 0 | 0 |
entailment
|
~((y>~(~(~((b>(~(h)|(y|(h>c)))))))))
|
(((m&(b>b))&(~(((m>m)&~(h)))|a))>y)
| 1 | 1 | 0 | 0 |
entailment
|
(~(a)&c)
|
(((m&(b>b))&(~(((m>m)&~(h)))|a))>y)
| 0 | 0 | 0 | 0 |
not entailment
|
~((y>~(~(~((b>(~(h)|(y|(h>c)))))))))
|
((~((((k>k)|y)>(m|m)))&b)>c)
| 0 | 1 | 0 | 0 |
not entailment
|
((y>h)>m)
|
((a>(m|y))|(y|b))
| 1 | 0 | 0 | 0 |
entailment
|
~(((y&k)|~(a)))
|
((k>(c|y))|(a|(h&(b|(h>k)))))
| 1 | 0 | 0 | 0 |
entailment
|
((y>h)>m)
|
((k>(c|y))|(a|(h&(b|(h>k)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((y&k)|~(a)))
|
((a>(m|y))|(y|b))
| 0 | 1 | 0 | 0 |
not entailment
|
((((c|a)|m)|(((a&a)&b)>h))>y)
|
((((b>b)>a)|(c&m))|(y|c))
| 1 | 1 | 1 | 0 |
entailment
|
~((((k|m)>(b&a))|m))
|
~(~((~(b)|~(((a&h)|m)))))
| 1 | 0 | 0 | 0 |
entailment
|
((((c|a)|m)|(((a&a)&b)>h))>y)
|
~(~((~(b)|~(((a&h)|m)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((k|m)>(b&a))|m))
|
((((b>b)>a)|(c&m))|(y|c))
| 0 | 0 | 0 | 0 |
not entailment
|
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