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>((w&~(h))&r))
|
((~(n)&(r&w))|(n|((n&h)|w)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((~((r&(n&(w>n))))|r)&(h|~(~(n)))))
|
(h>(w&(r>r)))
| 1 | 1 | 1 | 0 |
entailment
|
(((r|(w>n))>w)>~((w|w)))
|
(((w>n)>n)>(r>(n&((w|n)|n))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((~((r&(n&(w>n))))|r)&(h|~(~(n)))))
|
(((w>n)>n)>(r>(n&((w|n)|n))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((r|(w>n))>w)>~((w|w)))
|
(h>(w&(r>r)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((y|(s>~(t))))
|
(q|(s&(y>t)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(((y>y)|y))|q)|o))
|
(((q>~(t))|y)&((o|(o&y))|((q&q)>o)))
| 1 | 0 | 0 | 0 |
entailment
|
~((y|(s>~(t))))
|
(((q>~(t))|y)&((o|(o&y))|((q&q)>o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(((y>y)|y))|q)|o))
|
(q|(s&(y>t)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((y|y)>((s&y)|o))|t)&q)
|
~(((o&~(~(~(q))))&(s>s)))
| 1 | 0 | 1 | 0 |
entailment
|
((((t|(q&y))|(q>q))>t)&(s&((~(s)>t)&s)))
|
(~(((t|o)&t))>o)
| 1 | 1 | 0 | 0 |
entailment
|
((((y|y)>((s&y)|o))|t)&q)
|
(~(((t|o)&t))>o)
| 0 | 1 | 1 | 1 |
not entailment
|
((((t|(q&y))|(q>q))>t)&(s&((~(s)>t)&s)))
|
~(((o&~(~(~(q))))&(s>s)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(~(q))&s)&(t&(t|o)))&(s|q))
|
(~(~((s|(y>t))))>s)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((t|q)))&~(o))
|
~((q&o))
| 1 | 1 | 1 | 0 |
entailment
|
(((~(~(q))&s)&(t&(t|o)))&(s|q))
|
~((q&o))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~((t|q)))&~(o))
|
(~(~((s|(y>t))))>s)
| 0 | 1 | 0 | 0 |
not entailment
|
((t|~(((o&(q|t))|(~(s)&t))))>(o&s))
|
(~(~(((o>~((o>y)))>t)))|(s|((q|s)|y)))
| 1 | 0 | 0 | 0 |
entailment
|
~((y|o))
|
((((o>o)>o)>(s>q))|((~(~((s>q)))|o)>y))
| 1 | 0 | 0 | 0 |
entailment
|
((t|~(((o&(q|t))|(~(s)&t))))>(o&s))
|
((((o>o)>o)>(s>q))|((~(~((s>q)))|o)>y))
| 0 | 0 | 0 | 0 |
not entailment
|
~((y|o))
|
(~(~(((o>~((o>y)))>t)))|(s|((q|s)|y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(y|(y|t))
|
(t|((y>o)>o))
| 1 | 0 | 0 | 0 |
entailment
|
~((t|q))
|
~((((s|~(q))>q)|q))
| 1 | 0 | 0 | 0 |
entailment
|
(y|(y|t))
|
~((((s|~(q))>q)|q))
| 0 | 0 | 0 | 0 |
not entailment
|
~((t|q))
|
(t|((y>o)>o))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&q)
|
(((t|s)&(o|q))&(((q>t)>(q&t))>t))
| 1 | 0 | 0 | 0 |
entailment
|
(t&q)
|
(q>y)
| 0 | 1 | 0 | 0 |
not entailment
|
~(q)
|
(((t|s)&(o|q))&(((q>t)>(q&t))>t))
| 0 | 0 | 0 | 0 |
not entailment
|
((y>(s&(q>q)))&o)
|
((s&(o&o))|(((o|q)|o)|(y&(o|y))))
| 1 | 0 | 1 | 0 |
entailment
|
((~((q|q))&(y|(s>~((y&t)))))>~(s))
|
(~((q|t))>~(~(~((y&s)))))
| 1 | 1 | 1 | 1 |
entailment
|
((y>(s&(q>q)))&o)
|
(~((q|t))>~(~(~((y&s)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((q|q))&(y|(s>~((y&t)))))>~(s))
|
((s&(o&o))|(((o|q)|o)|(y&(o|y))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((q|(q|~(~(~(~(((y>s)|(t&t)))))))))
|
(q>(q>y))
| 1 | 1 | 1 | 1 |
entailment
|
(((y>t)&q)&(q>(s|t)))
|
(s|q)
| 1 | 1 | 1 | 1 |
entailment
|
~((q|(q|~(~(~(~(((y>s)|(t&t)))))))))
|
(s|q)
| 0 | 1 | 1 | 0 |
not entailment
|
(((y>t)&q)&(q>(s|t)))
|
(q>(q>y))
| 0 | 1 | 1 | 0 |
not entailment
|
(t&((q|t)>((t&~(q))>(o|q))))
|
(o|(t|((o&t)|o)))
| 1 | 1 | 1 | 1 |
entailment
|
((s>(y>o))>((((t|(t>o))>t)&q)&y))
|
(((s&~(((y&y)&t)))|(y|o))|(o&s))
| 1 | 1 | 1 | 0 |
entailment
|
(t&((q|t)>((t&~(q))>(o|q))))
|
(((s&~(((y&y)&t)))|(y|o))|(o&s))
| 0 | 0 | 0 | 0 |
not entailment
|
((s>(y>o))>((((t|(t>o))>t)&q)&y))
|
(o|(t|((o&t)|o)))
| 0 | 1 | 1 | 0 |
not entailment
|
(s&((~((o|t))>(s>t))&o))
|
((t>s)>s)
| 1 | 1 | 1 | 1 |
entailment
|
~((o|s))
|
(s>(((t|q)&t)|~(q)))
| 1 | 0 | 0 | 0 |
entailment
|
(s&((~((o|t))>(s>t))&o))
|
(s>(((t|q)&t)|~(q)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((o|s))
|
((t>s)>s)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(q)&y)
|
~(~((~((o|y))>q)))
| 1 | 0 | 0 | 0 |
entailment
|
(((y&y)>~(y))&((y&q)|t))
|
((o&~(y))|(o>~(y)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(q)&y)
|
((o&~(y))|(o>~(y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((y&y)>~(y))&((y&q)|t))
|
~(~((~((o|y))>q)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~(~(~(o)))))&(o|~(s)))
|
~(~((o>s)))
| 1 | 1 | 1 | 0 |
entailment
|
~((((s&q)>s)>~(((t>s)&o))))
|
(o|q)
| 1 | 1 | 1 | 0 |
entailment
|
(~(~(~(~(~(o)))))&(o|~(s)))
|
(o|q)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((s&q)>s)>~(((t>s)&o))))
|
~(~((o>s)))
| 0 | 1 | 1 | 0 |
not entailment
|
((((t>t)>t)&s)&~(~((y|((t|o)|(o|s))))))
|
~(((t>(o&~(s)))|~((t|s))))
| 1 | 1 | 1 | 0 |
entailment
|
((t|q)&(((t>(~(q)|y))>t)>~(((t|t)|q))))
|
((s|~(s))>q)
| 1 | 1 | 0 | 0 |
entailment
|
((((t>t)>t)&s)&~(~((y|((t|o)|(o|s))))))
|
((s|~(s))>q)
| 0 | 1 | 0 | 0 |
not entailment
|
((t|q)&(((t>(~(q)|y))>t)>~(((t|t)|q))))
|
~(((t>(o&~(s)))|~((t|s))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(i))
|
(~(~((a>i)))|(l>~(g)))
| 1 | 0 | 0 | 0 |
entailment
|
((x&f)|((l&l)&(g&x)))
|
(a|(x|n))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(i))
|
(a|(x|n))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&f)|((l&l)&(g&x)))
|
(~(~((a>i)))|(l>~(g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&(n&(n&i)))
|
(i&(n>(g>g)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((x|(x>a)))|x)|b))
|
(x>((~(g)|x)&f))
| 1 | 1 | 0 | 0 |
entailment
|
(a&(n&(n&i)))
|
(x>((~(g)|x)&f))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((x|(x>a)))|x)|b))
|
(i&(n>(g>g)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(t)&x)
|
((g>x)|~(~(~(f))))
| 1 | 0 | 0 | 0 |
entailment
|
((s|n)&(i&~(a)))
|
(n>(g>i))
| 1 | 1 | 0 | 0 |
entailment
|
(~(t)&x)
|
(n>(g>i))
| 0 | 1 | 0 | 0 |
not entailment
|
((s|n)&(i&~(a)))
|
((g>x)|~(~(~(f))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(b))|((t&(l>l))>l)))
|
(n>(((f&i)|~(g))|~(~(~(~(~(b)))))))
| 1 | 0 | 0 | 0 |
entailment
|
((x&(a>b))&((s&g)&f))
|
((~((a&s))|f)|~((((g>f)&i)&(n>s))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(b))|((t&(l>l))>l)))
|
((~((a&s))|f)|~((((g>f)&i)&(n>s))))
| 0 | 0 | 0 | 0 |
not entailment
|
((x&(a>b))&((s&g)&f))
|
(n>(((f&i)|~(g))|~(~(~(~(~(b)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((f>b))
|
(((g>n)>~(~(g)))>(n|~(b)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((f|a)&x)|l))
|
(a>~(x))
| 1 | 1 | 1 | 1 |
entailment
|
~((f>b))
|
(a>~(x))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((f|a)&x)|l))
|
(((g>n)>~(~(g)))>(n|~(b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~((i&x))|(b&s)))&((s>t)&b))
|
((((n>(g&b))|((i|s)>f))|~(f))>x)
| 1 | 1 | 0 | 0 |
entailment
|
((l&(g>x))&(f|t))
|
(((a>l)|(a>g))|(((g>(s&b))&s)|t))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~((i&x))|(b&s)))&((s>t)&b))
|
(((a>l)|(a>g))|(((g>(s&b))&s)|t))
| 0 | 1 | 0 | 0 |
not entailment
|
((l&(g>x))&(f|t))
|
((((n>(g&b))|((i|s)>f))|~(f))>x)
| 0 | 0 | 0 | 0 |
not entailment
|
((n&t)&x)
|
(b>x)
| 1 | 1 | 0 | 0 |
entailment
|
~((n|i))
|
((((b>s)&n)&~(i))>(a>f))
| 1 | 0 | 0 | 0 |
entailment
|
((n&t)&x)
|
((((b>s)&n)&~(i))>(a>f))
| 0 | 0 | 0 | 0 |
not entailment
|
~((n|i))
|
(b>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((b>t))&((~(g)>f)>a))
|
(((b&l)&t)>~(~(x)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((l&(((i&~(g))>(i&a))>i))))
|
(l|(((s|(x|x))|~(l))&~(~(f))))
| 1 | 1 | 0 | 0 |
entailment
|
(~((b>t))&((~(g)>f)>a))
|
(l|(((s|(x|x))|~(l))&~(~(f))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((l&(((i&~(g))>(i&a))>i))))
|
(((b&l)&t)>~(~(x)))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(g&g))
|
~(~((n|(g>a))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((x|a)|((a|l)&~(~(n)))))
|
((a&((s&g)|(t>l)))>(b>(t>i)))
| 1 | 1 | 0 | 0 |
entailment
|
(a&(g&g))
|
((a&((s&g)|(t>l)))>(b>(t>i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((x|a)|((a|l)&~(~(n)))))
|
~(~((n|(g>a))))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&~(i))&~((~(((x&f)>l))&(~(l)>g))))
|
(((b&a)>(l|x))|(x|g))
| 1 | 1 | 0 | 0 |
entailment
|
~((b>(n>~(s))))
|
((t&((i&a)&~(l)))|(b>s))
| 1 | 0 | 0 | 0 |
entailment
|
((x&~(i))&~((~(((x&f)>l))&(~(l)>g))))
|
((t&((i&a)&~(l)))|(b>s))
| 0 | 1 | 0 | 0 |
not entailment
|
~((b>(n>~(s))))
|
(((b&a)>(l|x))|(x|g))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((b>a))&(f|f))&((s>b)&f))
|
(~((a&t))|~(b))
| 1 | 1 | 0 | 0 |
entailment
|
((x|x)&((b|(a|n))|(i|(i&s))))
|
(~(x)>x)
| 1 | 1 | 1 | 1 |
entailment
|
((~((b>a))&(f|f))&((s>b)&f))
|
(~(x)>x)
| 0 | 1 | 0 | 0 |
not entailment
|
((x|x)&((b|(a|n))|(i|(i&s))))
|
(~((a&t))|~(b))
| 0 | 1 | 0 | 0 |
not entailment
|
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