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 |
|---|---|---|---|---|---|---|
(y|~(r))
|
(y>(r|(e&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r|(y&(y&e)))
|
((e|((r>y)|y))|~((y>r)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((~(t)>~(~(~(h))))>(h>g))&g)
|
(f|(h>g))
| 1 | 1 | 0 | 0 |
entailment
|
~(((t>l)|((~(h)>(w>f))>(~(r)>~(u)))))
|
(~(l)>u)
| 1 | 1 | 1 | 0 |
entailment
|
(((~(t)>~(~(~(h))))>(h>g))&g)
|
(~(l)>u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((t>l)|((~(h)>(w>f))>(~(r)>~(u)))))
|
(f|(h>g))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((j>(u>(s>w))))>f)|r))
|
(~(r)|(u&f))
| 1 | 1 | 1 | 0 |
entailment
|
(((~(l)|~((w>h)))&l)&~(((t>~(j))|g)))
|
((w|(t&~(u)))|((s&g)&(j|l)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((j>(u>(s>w))))>f)|r))
|
((w|(t&~(u)))|((s&g)&(j|l)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(l)|~((w>h)))&l)&~(((t>~(j))|g)))
|
(~(r)|(u&f))
| 0 | 1 | 0 | 0 |
not entailment
|
((g>((f&l)&h))&(j&((j&~(w))>h)))
|
((r&(~(g)|w))>(~((j|(u&t)))>u))
| 1 | 1 | 0 | 0 |
entailment
|
(((u>w)>((~(r)|((w&s)>(h>r)))>(h>s)))&l)
|
(~(~(l))|((j>t)|u))
| 1 | 1 | 0 | 0 |
entailment
|
((g>((f&l)&h))&(j&((j&~(w))>h)))
|
(~(~(l))|((j>t)|u))
| 0 | 1 | 0 | 0 |
not entailment
|
(((u>w)>((~(r)|((w&s)>(h>r)))>(h>s)))&l)
|
((r&(~(g)|w))>(~((j|(u&t)))>u))
| 0 | 1 | 0 | 0 |
not entailment
|
(w&~(~(((l&~((r&l)))&~((l&s))))))
|
(g>((l&w)|~(((h|l)>u))))
| 1 | 1 | 0 | 0 |
entailment
|
(f>(r&w))
|
((~((s&~(u)))&(s&j))|(r|~(~(~(f)))))
| 1 | 0 | 0 | 0 |
entailment
|
(w&~(~(((l&~((r&l)))&~((l&s))))))
|
((~((s&~(u)))&(s&j))|(r|~(~(~(f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f>(r&w))
|
(g>((l&w)|~(((h|l)>u))))
| 0 | 0 | 0 | 0 |
not entailment
|
((w>h)>(~((g|s))&((r>t)&s)))
|
(f|(w|g))
| 1 | 1 | 0 | 0 |
entailment
|
~(((s|(t&~(s)))|w))
|
~(~(~((t&f))))
| 1 | 1 | 0 | 0 |
entailment
|
((w>h)>(~((g|s))&((r>t)&s)))
|
~(~(~((t&f))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((s|(t&~(s)))|w))
|
(f|(w|g))
| 0 | 1 | 0 | 0 |
not entailment
|
~((w>h))
|
(r>((j|(u>~(~((s&l)))))|w))
| 1 | 0 | 0 | 0 |
entailment
|
~(((t>h)&f))
|
~(((~(j)|l)&~(((f&~(j))>(~(h)&t)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((w>h))
|
~(((~(j)|l)&~(((f&~(j))>(~(h)&t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t>h)&f))
|
(r>((j|(u>~(~((s&l)))))|w))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((t&(~(f)>g))|t))&~((~(h)|f)))
|
((s|h)|w)
| 1 | 1 | 0 | 0 |
entailment
|
(l&f)
|
(w>f)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((t&(~(f)>g))|t))&~((~(h)|f)))
|
(w>f)
| 0 | 1 | 0 | 0 |
not entailment
|
(l&f)
|
((s|h)|w)
| 0 | 0 | 0 | 0 |
not entailment
|
(h&(s>t))
|
(((u&f)|t)>h)
| 1 | 0 | 0 | 0 |
entailment
|
~(((f|h)>((w|((t|(g|(~(l)|s)))|j))|w)))
|
~(((j&g)&t))
| 1 | 1 | 1 | 1 |
entailment
|
(h&(s>t))
|
~(((j&g)&t))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((f|h)>((w|((t|(g|(~(l)|s)))|j))|w)))
|
(((u&f)|t)>h)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((h|(u&u))|f))
|
(h>~((w|t)))
| 1 | 1 | 0 | 0 |
entailment
|
(h&(g&(j&f)))
|
((~(~(g))>(t>f))|((s&r)|r))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h|(u&u))|f))
|
((~(~(g))>(t>f))|((s&r)|r))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&(g&(j&f)))
|
(h>~((w|t)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((f|(~(((h>w)>((j>r)>(r|g))))|s)))
|
((h|h)|((w&s)>r))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(~(~(u))))&((r>h)|(r|g)))
|
((s>((u>r)|((h&u)>s)))>(u|l))
| 1 | 1 | 0 | 0 |
entailment
|
~((f|(~(((h>w)>((j>r)>(r|g))))|s)))
|
((s>((u>r)|((h&u)>s)))>(u|l))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~(~(u))))&((r>h)|(r|g)))
|
((h|h)|((w&s)>r))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&~((g>(r>(l>u)))))
|
((u>((g|w)&(j|r)))|(s&((~(t)>(j&f))&j)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(w))
|
(((h&h)>s)|w)
| 1 | 0 | 0 | 0 |
entailment
|
(j&~((g>(r>(l>u)))))
|
(((h&h)>s)|w)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(w))
|
((u>((g|w)&(j|r)))|(s&((~(t)>(j&f))&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&(j>l))
|
((r|h)|l)
| 1 | 1 | 0 | 0 |
entailment
|
~((((l>(r>(t|t)))|l)>(r|(w|u))))
|
(~(s)>(~((t>~(w)))>(t>j)))
| 1 | 1 | 0 | 0 |
entailment
|
(h&(j>l))
|
(~(s)>(~((t>~(w)))>(t>j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((l>(r>(t|t)))|l)>(r|(w|u))))
|
((r|h)|l)
| 0 | 1 | 0 | 0 |
not entailment
|
((t|r)&~((~((r&((u&t)|j)))>l)))
|
(g|(f|((h|~(t))>(j>(h|s)))))
| 1 | 1 | 0 | 0 |
entailment
|
(((~((u>l))>(h>w))|~(t))&~((j&s)))
|
~(((h&j)&s))
| 1 | 1 | 1 | 1 |
entailment
|
((t|r)&~((~((r&((u&t)|j)))>l)))
|
~(((h&j)&s))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~((u>l))>(h>w))|~(t))&~((j&s)))
|
(g|(f|((h|~(t))>(j>(h|s)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((s>(~(((t&(u>f))>l))>(s>(u>(l&w))))))
|
(f&(w>t))
| 1 | 1 | 1 | 1 |
entailment
|
~(g)
|
~(((j|h)&g))
| 1 | 0 | 0 | 0 |
entailment
|
~((s>(~(((t&(u>f))>l))>(s>(u>(l&w))))))
|
~(((j|h)&g))
| 0 | 1 | 0 | 0 |
not entailment
|
~(g)
|
(f&(w>t))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((h|w)|~(((~(r)>r)&((j&u)&r)))))
|
((j|(t&((u&l)|s)))&(~(u)>w))
| 1 | 1 | 0 | 0 |
entailment
|
((r>~(((~(w)&(r|s))&l)))&h)
|
(g>~(~((h|(w|h)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((h|w)|~(((~(r)>r)&((j&u)&r)))))
|
(g>~(~((h|(w|h)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((r>~(((~(w)&(r|s))&l)))&h)
|
((j|(t&((u&l)|s)))&(~(u)>w))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(g)>(t&~((r|~((l&w))))))&(r>s))
|
(l|((~(s)>(l&((h&j)|g)))>(t|g)))
| 1 | 1 | 0 | 0 |
entailment
|
~((h&((f|~((t&l)))|t)))
|
(h>((w|r)|s))
| 1 | 1 | 0 | 0 |
entailment
|
((~(g)>(t&~((r|~((l&w))))))&(r>s))
|
(h>((w|r)|s))
| 0 | 1 | 0 | 0 |
not entailment
|
~((h&((f|~((t&l)))|t)))
|
(l|((~(s)>(l&((h&j)|g)))>(t|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((g>~((w&h))))
|
~(~(((f>g)|~(((r&g)>(g&t))))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(r)&~(t))&((h|s)&((f&j)&w)))
|
((u>j)&((f&h)|(h>(~(g)&((s&(h&l))|h)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((g>~((w&h))))
|
((u>j)&((f&h)|(h>(~(g)&((s&(h&l))|h)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(r)&~(t))&((h|s)&((f&j)&w)))
|
~(~(((f>g)|~(((r&g)>(g&t))))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((w|s)|g)|(w&w))|(t|s)))
|
(~((j|~((u|l))))>(t>j))
| 1 | 1 | 0 | 0 |
entailment
|
((s>(j&r))&~(((t&(w|w))|(f|l))))
|
((g&~(((h|l)>~(t))))|(f>~(f)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((w|s)|g)|(w&w))|(t|s)))
|
((g&~(((h|l)>~(t))))|(f>~(f)))
| 0 | 0 | 0 | 0 |
not entailment
|
((s>(j&r))&~(((t&(w|w))|(f|l))))
|
(~((j|~((u|l))))>(t>j))
| 0 | 1 | 0 | 0 |
not entailment
|
(((u>(w>f))>((l>r)|w))>~((s>s)))
|
~((w&~(~(~(s)))))
| 1 | 1 | 1 | 1 |
entailment
|
(~((u>~(((j&(l|h))>~(((j>r)&w))))))&u)
|
((h|j)>u)
| 1 | 1 | 1 | 1 |
entailment
|
(((u>(w>f))>((l>r)|w))>~((s>s)))
|
((h|j)>u)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((u>~(((j&(l|h))>~(((j>r)&w))))))&u)
|
~((w&~(~(~(s)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(d|f)
|
((~((f>d))>d)>((d|d)&(d&(f>(f|f)))))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(f)>(f&d)))
|
((f|d)>~(~((d|~((~(d)&f))))))
| 1 | 0 | 1 | 0 |
entailment
|
(d|f)
|
((f|d)>~(~((d|~((~(d)&f))))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(f)>(f&d)))
|
((~((f>d))>d)>((d|d)&(d&(f>(f|f)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(f|f)
|
(~(f)>f)
| 1 | 0 | 1 | 1 |
entailment
|
~((f&(f>f)))
|
((f&d)|~(f))
| 1 | 1 | 0 | 0 |
entailment
|
(f|f)
|
((f&d)|~(f))
| 0 | 0 | 0 | 0 |
not entailment
|
~((f&(f>f)))
|
(~(f)>f)
| 0 | 1 | 1 | 1 |
not entailment
|
((d>~(((f|f)&f)))>(f&d))
|
((f&((d>d)>f))|((f|d)|((d|f)|~((f>d)))))
| 1 | 0 | 1 | 0 |
entailment
|
~(d)
|
~((((f&((d|~((f|f)))&d))|(d&f))&(f|d)))
| 1 | 0 | 0 | 0 |
entailment
|
((d>~(((f|f)&f)))>(f&d))
|
~((((f&((d|~((f|f)))&d))|(d&f))&(f|d)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(d)
|
((f&((d>d)>f))|((f|d)|((d|f)|~((f>d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&f)
|
(f|f)
| 1 | 1 | 1 | 1 |
entailment
|
(d&(((~(d)>(f>d))|~((d|f)))>d))
|
(d|d)
| 1 | 1 | 1 | 1 |
entailment
|
(f&f)
|
(d|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(((~(d)>(f>d))|~((d|f)))>d))
|
(f|f)
| 0 | 1 | 1 | 1 |
not entailment
|
(f&d)
|
(~(~((d|d)))|d)
| 1 | 0 | 1 | 1 |
entailment
|
~((~(~((d|d)))|((d&~((d&(f>d))))&d)))
|
(f>(d>~(d)))
| 1 | 1 | 1 | 1 |
entailment
|
(f&d)
|
(f>(d>~(d)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(~((d|d)))|((d&~((d&(f>d))))&d)))
|
(~(~((d|d)))|d)
| 0 | 1 | 1 | 1 |
not entailment
|
(d&d)
|
(d|d)
| 1 | 1 | 1 | 1 |
entailment
|
(d>f)
|
(~(d)|(~(((d|(~((d>f))|d))|f))|f))
| 1 | 0 | 1 | 0 |
entailment
|
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