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 |
|---|---|---|---|---|---|---|
(~((f&i))&y)
|
((~((l|w))>o)|(r>e))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((g>~(w))>(e>o))|(l|(f|t))))
|
(l>o)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((l&f)|~(~(((~(~(w))&f)&r))))))
|
(~(r)|f)
| 1 | 1 | 1 | 0 |
entailment
|
~((((g>~(w))>(e>o))|(l|(f|t))))
|
(~(r)|f)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((l&f)|~(~(((~(~(w))&f)&r))))))
|
(l>o)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(o)>~((f|t)))
|
(g|~(((y|~(l))&(~(((~(o)>g)|o))&t))))
| 1 | 0 | 0 | 0 |
entailment
|
~(w)
|
(~(~(((w>y)|(r>f))))|((l>g)&(e>f)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(o)>~((f|t)))
|
(~(~(((w>y)|(r>f))))|((l>g)&(e>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(w)
|
(g|~(((y|~(l))&(~(((~(o)>g)|o))&t))))
| 0 | 0 | 0 | 0 |
not entailment
|
((r|(y&w))&w)
|
~(~((~((g>o))|w)))
| 1 | 0 | 0 | 0 |
entailment
|
~((i>(y&g)))
|
(l>i)
| 1 | 1 | 0 | 0 |
entailment
|
((r|(y&w))&w)
|
(l>i)
| 0 | 1 | 0 | 0 |
not entailment
|
~((i>(y&g)))
|
~(~((~((g>o))|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(w)
|
((((i&(e>g))>t)|(r&i))|~(((w&l)&y)))
| 1 | 0 | 0 | 0 |
entailment
|
(y>w)
|
(~(y)|((l>g)|(w|w)))
| 1 | 0 | 0 | 0 |
entailment
|
~(w)
|
(~(y)|((l>g)|(w|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(y>w)
|
((((i&(e>g))>t)|(r&i))|~(((w&l)&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(t)
|
~((((y|w)>o)&(i&~(((y|i)>(t>(g|w)))))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((~(~(r))&(f|w))))&l)
|
((f&(w>~((g>g))))>l)
| 1 | 1 | 0 | 0 |
entailment
|
~(t)
|
((f&(w>~((g>g))))>l)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((~(~(r))&(f|w))))&l)
|
~((((y|w)>o)&(i&~(((y|i)>(t>(g|w)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((w&l)&~(i))
|
(f|(~(w)|l))
| 1 | 1 | 0 | 0 |
entailment
|
((w&(r&(t>w)))&((i&i)|i))
|
(i|~((((w|~(~(y)))>~(i))>g)))
| 1 | 0 | 0 | 0 |
entailment
|
((w&l)&~(i))
|
(i|~((((w|~(~(y)))>~(i))>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
((w&(r&(t>w)))&((i&i)|i))
|
(f|(~(w)|l))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((g&((y&y)&(y&w)))>((f>~(g))|i)))
|
(~(f)>~((((t>i)&(t>e))&~((y|e)))))
| 1 | 1 | 0 | 0 |
entailment
|
~((l>i))
|
(i|l)
| 1 | 1 | 1 | 0 |
entailment
|
~(((g&((y&y)&(y&w)))>((f>~(g))|i)))
|
(i|l)
| 0 | 1 | 0 | 0 |
not entailment
|
~((l>i))
|
(~(f)>~((((t>i)&(t>e))&~((y|e)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((y&(i&(o|f)))&((t|y)&~(e)))
|
(i|((y>(y>(o&e)))&(f&i)))
| 1 | 1 | 1 | 0 |
entailment
|
((r>(y>e))&(~(~(~((y|g))))&~(t)))
|
((t&(e>t))>~(~(f)))
| 1 | 1 | 0 | 0 |
entailment
|
((y&(i&(o|f)))&((t|y)&~(e)))
|
((t&(e>t))>~(~(f)))
| 0 | 1 | 1 | 0 |
not entailment
|
((r>(y>e))&(~(~(~((y|g))))&~(t)))
|
(i|((y>(y>(o&e)))&(f&i)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((y>((f>i)&(~(t)|(g>g)))))
|
(~(~((r>t)))|(w>y))
| 1 | 1 | 0 | 0 |
entailment
|
(((f&~(e))|(~(f)|~(f)))&~((e>y)))
|
~((y&(((g|t)|~(r))&(((e|g)>~(w))&f))))
| 1 | 0 | 0 | 0 |
entailment
|
~((y>((f>i)&(~(t)|(g>g)))))
|
~((y&(((g|t)|~(r))&(((e|g)>~(w))&f))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((f&~(e))|(~(f)|~(f)))&~((e>y)))
|
(~(~((r>t)))|(w>y))
| 0 | 1 | 0 | 0 |
not entailment
|
((y&g)&((g|~((g>e)))>~(f)))
|
(~((l&(g>(i|i))))|(g>y))
| 1 | 1 | 0 | 0 |
entailment
|
((i&r)|~((l>l)))
|
(i|((~(l)|((g&(e|t))|t))&y))
| 1 | 0 | 0 | 0 |
entailment
|
((y&g)&((g|~((g>e)))>~(f)))
|
(i|((~(l)|((g&(e|t))|t))&y))
| 0 | 1 | 0 | 0 |
not entailment
|
((i&r)|~((l>l)))
|
(~((l&(g>(i|i))))|(g>y))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&((g|o)&(((f|r)>t)&r)))
|
(((e|(o>f))&(i&(t|(y>i))))>(f>r))
| 1 | 0 | 0 | 0 |
entailment
|
((g&~(((i>(f|l))|~(~(o)))))|(l&w))
|
(((((f>t)|(y|f))&((y>o)|l))&(f&r))>l)
| 1 | 1 | 0 | 0 |
entailment
|
(i&((g|o)&(((f|r)>t)&r)))
|
(((((f>t)|(y|f))&((y>o)|l))&(f&r))>l)
| 0 | 0 | 0 | 0 |
not entailment
|
((g&~(((i>(f|l))|~(~(o)))))|(l&w))
|
(((e|(o>f))&(i&(t|(y>i))))>(f>r))
| 0 | 1 | 0 | 0 |
not entailment
|
(((i&l)>l)>~(((g>f)|w)))
|
(~(~((((w&g)>o)&~(g))))>w)
| 1 | 0 | 0 | 0 |
entailment
|
~(((t&i)>~(~((l|(l|((t|i)&w)))))))
|
~((((i>o)&(e&l))|(~((w>y))&(w|t))))
| 1 | 1 | 0 | 0 |
entailment
|
(((i&l)>l)>~(((g>f)|w)))
|
~((((i>o)&(e&l))|(~((w>y))&(w|t))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t&i)>~(~((l|(l|((t|i)&w)))))))
|
(~(~((((w&g)>o)&~(g))))>w)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(l)&~(g))
|
((y>y)&~(g))
| 1 | 1 | 0 | 0 |
entailment
|
(w&i)
|
((f&((y|f)&~(w)))>(~(i)>(f>i)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(l)&~(g))
|
((f&((y|f)&~(w)))>(~(i)>(f>i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(w&i)
|
((y>y)&~(g))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s|(n>g)))
|
(m|((n&~(~((g>k))))|a))
| 1 | 0 | 0 | 0 |
entailment
|
((~(u)|(h&u))&((d&g)&(o>o)))
|
(((g|(s|h))|g)>(k>(u>(g|m))))
| 1 | 1 | 0 | 0 |
entailment
|
~((s|(n>g)))
|
(((g|(s|h))|g)>(k>(u>(g|m))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(u)|(h&u))&((d&g)&(o>o)))
|
(m|((n&~(~((g>k))))|a))
| 0 | 1 | 0 | 0 |
not entailment
|
((h|n)&~((n>((g>k)>g))))
|
((m>m)>(g>~(((g>m)&(u&m)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~((m&n))|h)>~(((g>k)|a)))&s)
|
((a|s)>s)
| 1 | 1 | 1 | 0 |
entailment
|
((h|n)&~((n>((g>k)>g))))
|
((a|s)>s)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~((m&n))|h)>~(((g>k)|a)))&s)
|
((m>m)>(g>~(((g>m)&(u&m)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(u)>(k>g)))
|
~((m&~(k)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((d|o))&g)
|
(~(s)|~((d&(o>(d&((d|d)>o))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(u)>(k>g)))
|
(~(s)|~((d&(o>(d&((d|d)>o))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((d|o))&g)
|
~((m&~(k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((a>(~(k)&k))>((n|o)>k))&(~(a)&k))
|
~(((n&a)&(m&(g&u))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(s)&o)
|
(o&o)
| 1 | 1 | 1 | 1 |
entailment
|
(((a>(~(k)&k))>((n|o)>k))&(~(a)&k))
|
(o&o)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(s)&o)
|
~(((n&a)&(m&(g&u))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((a|(h|(~((h&u))&(o>g)))))
|
(((a|k)>(s|h))|~((o&g)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((u&d)>s)|(a>n)))
|
(d|((u&d)|~(~((k|n)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((a|(h|(~((h&u))&(o>g)))))
|
(d|((u&d)|~(~((k|n)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((u&d)>s)|(a>n)))
|
(((a|k)>(s|h))|~((o&g)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((h>(~((n|o))>~(d))))
|
(d|(s&a))
| 1 | 1 | 0 | 0 |
entailment
|
~(((n&((s>k)>u))|(~(h)>~((u&s)))))
|
((h&h)>~(a))
| 1 | 1 | 0 | 0 |
entailment
|
~((h>(~((n|o))>~(d))))
|
((h&h)>~(a))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((n&((s>k)>u))|(~(h)>~((u&s)))))
|
(d|(s&a))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((u>d))&m)
|
((d|(m>(o>k)))>(~(n)|(d>k)))
| 1 | 0 | 0 | 0 |
entailment
|
(o&(s&(h&o)))
|
((n|u)>((k>((g|n)>s))|((m&a)&~(k))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((u>d))&m)
|
((n|u)>((k>((g|n)>s))|((m&a)&~(k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&(s&(h&o)))
|
((d|(m>(o>k)))>(~(n)|(d>k)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((d|~(~(((o|d)&((h|s)&h))))))
|
(m>(d>u))
| 1 | 1 | 0 | 0 |
entailment
|
((k>n)&(o|n))
|
((~(~(~(o)))>g)|(((n|n)|u)|(~(n)>s)))
| 1 | 0 | 0 | 0 |
entailment
|
~((d|~(~(((o|d)&((h|s)&h))))))
|
((~(~(~(o)))>g)|(((n|n)|u)|(~(n)>s)))
| 0 | 0 | 0 | 0 |
not entailment
|
((k>n)&(o|n))
|
(m>(d>u))
| 0 | 1 | 0 | 0 |
not entailment
|
~(s)
|
~(s)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((g>(~((o>n))&o))|d))&m)
|
((d>(n&n))|~((n|~(m))))
| 1 | 1 | 1 | 0 |
entailment
|
~(s)
|
((d>(n&n))|~((n|~(m))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((g>(~((o>n))&o))|d))&m)
|
~(s)
| 0 | 1 | 0 | 0 |
not entailment
|
((k&~((s>~(n))))&g)
|
(s>(~(~(((d>k)&g)))>k))
| 1 | 0 | 0 | 0 |
entailment
|
(~(n)&h)
|
(((a>~(o))>h)|(m&d))
| 1 | 0 | 0 | 0 |
entailment
|
((k&~((s>~(n))))&g)
|
(((a>~(o))>h)|(m&d))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(n)&h)
|
(s>(~(~(((d>k)&g)))>k))
| 0 | 0 | 0 | 0 |
not entailment
|
((((s&g)&o)&m)&(((s>n)|k)|((u>g)>(k&g))))
|
((h>(((d>h)>d)|g))|(n&d))
| 1 | 1 | 0 | 0 |
entailment
|
~(((d>m)>(~(((d&h)|~(o)))|s)))
|
((k>s)>~(((d>h)&s)))
| 1 | 1 | 0 | 0 |
entailment
|
((((s&g)&o)&m)&(((s>n)|k)|((u>g)>(k&g))))
|
((k>s)>~(((d>h)&s)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d>m)>(~(((d&h)|~(o)))|s)))
|
((h>(((d>h)>d)|g))|(n&d))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a&a)&((o&d)>a)))
|
(a>((a>d)>h))
| 1 | 1 | 0 | 0 |
entailment
|
((s&(k&s))&(((a&u)|(n&(u&n)))>h))
|
(((g|(~(n)&~(k)))>(n>m))>k)
| 1 | 1 | 0 | 0 |
entailment
|
~(((a&a)&((o&d)>a)))
|
(((g|(~(n)&~(k)))>(n>m))>k)
| 0 | 0 | 0 | 0 |
not entailment
|
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