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 |
|---|---|---|---|---|---|---|
(v|(p&v))
|
(v|~(r))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(x)))
|
~(~(~((((x|x)|(j&i))&x))))
| 1 | 0 | 0 | 0 |
entailment
|
(v|(p&v))
|
~(~(~((((x|x)|(j&i))&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(x)))
|
(v|~(r))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((r|(t|v)))&(~(x)|~(((p>r)>a))))
|
~(v)
| 1 | 1 | 1 | 1 |
entailment
|
((((p>t)&(v>~((v|x))))|t)&v)
|
(v|a)
| 1 | 1 | 0 | 0 |
entailment
|
(~((r|(t|v)))&(~(x)|~(((p>r)>a))))
|
(v|a)
| 0 | 1 | 1 | 0 |
not entailment
|
((((p>t)&(v>~((v|x))))|t)&v)
|
~(v)
| 0 | 1 | 1 | 1 |
not entailment
|
(x&~((t&x)))
|
((x|t)|(t&((~((a|v))&~((i&(j|t))))|v)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((v|(p|(a|p))))|((p>a)|(x&(x&x)))))
|
(x>~(v))
| 1 | 1 | 1 | 0 |
entailment
|
(x&~((t&x)))
|
(x>~(v))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((v|(p|(a|p))))|((p>a)|(x&(x&x)))))
|
((x|t)|(t&((~((a|v))&~((i&(j|t))))|v)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((r&a))&t)
|
(~((i>~(x)))|(t|(p>a)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(~((j>((p&a)>j))))&j)))
|
((i&~((r>r)))|(~(i)|j))
| 1 | 1 | 0 | 0 |
entailment
|
(~((r&a))&t)
|
((i&~((r>r)))|(~(i)|j))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(~((j>((p&a)>j))))&j)))
|
(~((i>~(x)))|(t|(p>a)))
| 0 | 1 | 0 | 0 |
not entailment
|
((j&a)&~((~(v)&(j&t))))
|
(t>v)
| 1 | 1 | 1 | 1 |
entailment
|
(((((i>~(r))>p)&(x&v))>(i&p))&r)
|
((x&(p&(p|p)))>r)
| 1 | 1 | 1 | 1 |
entailment
|
((j&a)&~((~(v)&(j&t))))
|
((x&(p&(p|p)))>r)
| 0 | 1 | 0 | 0 |
not entailment
|
(((((i>~(r))>p)&(x&v))>(i&p))&r)
|
(t>v)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((~(p)&(j&r))|x))|a))
|
~(~((~(a)|(((~(p)>(v|t))|j)|i))))
| 1 | 0 | 0 | 0 |
entailment
|
(x|i)
|
(((i|(r>x))|~((j>t)))|(i&i))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((~(p)&(j&r))|x))|a))
|
(((i|(r>x))|~((j>t)))|(i&i))
| 0 | 1 | 0 | 0 |
not entailment
|
(x|i)
|
~(~((~(a)|(((~(p)>(v|t))|j)|i))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(i)>j)&i)
|
((((i|~(t))>i)|t)|(v&x))
| 1 | 0 | 0 | 0 |
entailment
|
~((r|j))
|
((r>v)|(r&(v&((p&(t|v))&t))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(i)>j)&i)
|
((r>v)|(r&(v&((p&(t|v))&t))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r|j))
|
((((i|~(t))>i)|t)|(v&x))
| 0 | 0 | 0 | 0 |
not entailment
|
(((r&~(p))|((j|(i|x))>t))&((r|x)&(r>a)))
|
((x|((x|t)>a))&((p&p)|((x|(x&t))|r)))
| 1 | 1 | 1 | 0 |
entailment
|
((j|x)>v)
|
(~(v)>((x|x)>(a&p)))
| 1 | 0 | 0 | 0 |
entailment
|
(((r&~(p))|((j|(i|x))>t))&((r|x)&(r>a)))
|
(~(v)>((x|x)>(a&p)))
| 0 | 1 | 0 | 0 |
not entailment
|
((j|x)>v)
|
((x|((x|t)>a))&((p&p)|((x|(x&t))|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(((r|((j|((j&r)|(j&j)))>a))|v))))
|
(a>x)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((i>x)|t))|i)
|
((x>(~(v)>(j&i)))|i)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((r|((j|((j&r)|(j&j)))>a))|v))))
|
((x>(~(v)>(j&i)))|i)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((i>x)|t))|i)
|
(a>x)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((i>p)|t))
|
(t>x)
| 1 | 1 | 0 | 0 |
entailment
|
(r&~(~(~(~(t)))))
|
(((~(t)&~(x))>(r&a))|~((a|j)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((i>p)|t))
|
(((~(t)&~(x))>(r&a))|~((a|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&~(~(~(~(t)))))
|
(t>x)
| 0 | 1 | 0 | 0 |
not entailment
|
((j&((r&t)|r))&((a|j)>j))
|
(j|((((i>(t&v))&t)&i)|(t|(i>j))))
| 1 | 0 | 0 | 0 |
entailment
|
(((r>j)>((x&(j|i))>a))&~(((~(x)|v)|v)))
|
(p|((((x|a)|p)|t)|(((v|a)|t)>t)))
| 1 | 1 | 0 | 0 |
entailment
|
((j&((r&t)|r))&((a|j)>j))
|
(p|((((x|a)|p)|t)|(((v|a)|t)>t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((r>j)>((x&(j|i))>a))&~(((~(x)|v)|v)))
|
(j|((((i>(t&v))&t)&i)|(t|(i>j))))
| 0 | 1 | 0 | 0 |
not entailment
|
((t&p)&(a&a))
|
(~((((j|i)>i)|p))>((r>(t&~(r)))|x))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((x|(t&v))>t)>i))&j)
|
~(i)
| 1 | 1 | 1 | 1 |
entailment
|
((t&p)&(a&a))
|
~(i)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((x|(t&v))>t)>i))&j)
|
(~((((j|i)>i)|p))>((r>(t&~(r)))|x))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&((x>x)&(i&p)))
|
(p|(~((a|i))>(((t>v)|i)&r)))
| 1 | 0 | 0 | 0 |
entailment
|
(((r|j)>x)&~(~(((x|v)&v))))
|
((a>a)>((x|v)&(j|(v|v))))
| 1 | 1 | 0 | 0 |
entailment
|
(a&((x>x)&(i&p)))
|
((a>a)>((x|v)&(j|(v|v))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((r|j)>x)&~(~(((x|v)&v))))
|
(p|(~((a|i))>(((t>v)|i)&r)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((i>a)&x)&((a|(x|v))&(v&r)))
|
(((a>a)|(~(a)>(p|p)))>v)
| 1 | 1 | 0 | 0 |
entailment
|
((x>a)>t)
|
(a>t)
| 1 | 1 | 1 | 1 |
entailment
|
(((i>a)&x)&((a|(x|v))&(v&r)))
|
(a>t)
| 0 | 1 | 0 | 0 |
not entailment
|
((x>a)>t)
|
(((a>a)|(~(a)>(p|p)))>v)
| 0 | 0 | 0 | 0 |
not entailment
|
~(j)
|
~((j&a))
| 1 | 0 | 0 | 0 |
entailment
|
((x&r)&((p&x)|x))
|
~(~((t|r)))
| 1 | 1 | 0 | 0 |
entailment
|
~(j)
|
~(~((t|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
((x&r)&((p&x)|x))
|
~((j&a))
| 0 | 1 | 0 | 0 |
not entailment
|
(((u|u)&u)|u)
|
(((u>u)&u)|u)
| 1 | 1 | 1 | 0 |
entailment
|
(~(u)&(u>(u>(u&u))))
|
~((u&u))
| 1 | 1 | 1 | 1 |
entailment
|
(((u|u)&u)|u)
|
~((u&u))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(u)&(u>(u>(u&u))))
|
(((u>u)&u)|u)
| 0 | 1 | 1 | 1 |
not entailment
|
((u&(u>u))&u)
|
(~(u)>((~(~((u>u)))|u)>~((u>~(u)))))
| 1 | 0 | 1 | 1 |
entailment
|
((u>u)&~(u))
|
~(((u|u)&(~(~(~((u&(u&u)))))|u)))
| 1 | 0 | 1 | 1 |
entailment
|
((u&(u>u))&u)
|
~(((u|u)&(~(~(~((u&(u&u)))))|u)))
| 0 | 0 | 1 | 1 |
not entailment
|
((u>u)&~(u))
|
(~(u)>((~(~((u>u)))|u)>~((u>~(u)))))
| 0 | 0 | 1 | 1 |
not entailment
|
(((u&u)|(u>u))&((u|u)|u))
|
(((~(u)|u)|u)&(u&u))
| 1 | 1 | 1 | 1 |
entailment
|
~(u)
|
~(((u&(u>u))&u))
| 1 | 0 | 1 | 0 |
entailment
|
(((u&u)|(u>u))&((u|u)|u))
|
~(((u&(u>u))&u))
| 0 | 1 | 1 | 1 |
not entailment
|
~(u)
|
(((~(u)|u)|u)&(u&u))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(((u|(~(u)>(u>u)))>(u|u))))
|
((~(u)>u)|(~(u)>u))
| 1 | 1 | 1 | 1 |
entailment
|
~(u)
|
(~((u|u))|~((((u&u)>u)>u)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(((u|(~(u)>(u>u)))>(u|u))))
|
(~((u|u))|~((((u&u)>u)>u)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(u)
|
((~(u)>u)|(~(u)>u))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(r)|(((f&b)>r)&((l|((f|(f|y))&w))&t)))
|
((y|f)|((g|l)|(t>~((g|r)))))
| 1 | 1 | 0 | 0 |
entailment
|
~((((f|g)>(y&~(b)))>(f&g)))
|
(((b&~(l))|t)>(((f|l)&~(~((r>w))))>t))
| 1 | 0 | 0 | 0 |
entailment
|
(~(r)|(((f&b)>r)&((l|((f|(f|y))&w))&t)))
|
(((b&~(l))|t)>(((f|l)&~(~((r>w))))>t))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((f|g)>(y&~(b)))>(f&g)))
|
((y|f)|((g|l)|(t>~((g|r)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&~(~(((y|y)>(((t>w)|(r>g))>g)))))
|
((((f|(g&w))&t)>g)|(t>(~(l)&~(t))))
| 1 | 1 | 0 | 0 |
entailment
|
(((y&t)|g)>(~(((k&w)|r))|(g&l)))
|
(~((~(l)>~((((t|t)&w)|g))))>(r>t))
| 1 | 0 | 1 | 0 |
entailment
|
(g&~(~(((y|y)>(((t>w)|(r>g))>g)))))
|
(~((~(l)>~((((t|t)&w)|g))))>(r>t))
| 0 | 1 | 0 | 0 |
not entailment
|
(((y&t)|g)>(~(((k&w)|r))|(g&l)))
|
((((f|(g&w))&t)>g)|(t>(~(l)&~(t))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((g>((g>f)>b)))|((y&b)&(b>k)))
|
(((t|t)>~((w>y)))|(~(~(b))|g))
| 1 | 1 | 0 | 0 |
entailment
|
(((r>b)&f)&(t|(~(t)>t)))
|
~((~((f|f))&((t>(f>((t>b)>w)))|r)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((g>((g>f)>b)))|((y&b)&(b>k)))
|
~((~((f|f))&((t>(f>((t>b)>w)))|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((r>b)&f)&(t|(~(t)>t)))
|
(((t|t)>~((w>y)))|(~(~(b))|g))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&(t&(b&y)))
|
(b|(~(b)>g))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(~(y))>k)|(w>~(~(l)))))
|
((w>w)&(w|(l|k)))
| 1 | 1 | 1 | 0 |
entailment
|
(f&(t&(b&y)))
|
((w>w)&(w|(l|k)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(~(y))>k)|(w>~(~(l)))))
|
(b|(~(b)>g))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((g>b)|(k>f)))
|
~((k>b))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~((~(f)|(f&t)))))
|
(t|(l>f))
| 1 | 1 | 0 | 0 |
entailment
|
~(((g>b)|(k>f)))
|
(t|(l>f))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((~(f)|(f&t)))))
|
~((k>b))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&w)
|
(((t>b)>((k|(l&g))>(t&g)))>w)
| 1 | 0 | 0 | 0 |
entailment
|
(y&~((~(t)>b)))
|
(~((r|f))>(y>~(b)))
| 1 | 0 | 0 | 0 |
entailment
|
(l&w)
|
(~((r|f))>(y>~(b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&~((~(t)>b)))
|
(((t>b)>((k|(l&g))>(t&g)))>w)
| 0 | 0 | 0 | 0 |
not entailment
|
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