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 |
|---|---|---|---|---|---|---|
((~((l&l))>t)&r)
|
(l>y)
| 0 | 1 | 0 | 0 |
not entailment
|
~((y|(j>l)))
|
(((r|y)|r)|(t>~((r|~(l)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t>((y&l)>r))|~(t)))
|
(j>l)
| 1 | 1 | 0 | 0 |
entailment
|
(~((j>~(y)))|(t&r))
|
(j|(((j&j)>l)>r))
| 1 | 1 | 0 | 0 |
entailment
|
~(((t>((y&l)>r))|~(t)))
|
(j|(((j&j)>l)>r))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((j>~(y)))|(t&r))
|
(j>l)
| 0 | 1 | 0 | 0 |
not entailment
|
((((~(c)&j)|j)&(y|c))&((r&j)>(l&t)))
|
(~((j|j))>~(~((~((((l>j)>t)&l))>j))))
| 1 | 0 | 1 | 1 |
entailment
|
(~((y|j))&((t&(r|l))&~(j)))
|
(~(~(j))>(y|~((j&j))))
| 1 | 1 | 1 | 0 |
entailment
|
((((~(c)&j)|j)&(y|c))&((r&j)>(l&t)))
|
(~(~(j))>(y|~((j&j))))
| 0 | 1 | 1 | 1 |
not entailment
|
(~((y|j))&((t&(r|l))&~(j)))
|
(~((j|j))>~(~((~((((l>j)>t)&l))>j))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((j&(l|r))|~(t)))|t)
|
((~(j)&y)>(~((l&j))&((r>y)&t)))
| 1 | 0 | 0 | 0 |
entailment
|
~((r>((y|((r&y)|y))&(j|l))))
|
((((y|t)>y)>~(c))>(r|r))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((j&(l|r))|~(t)))|t)
|
((((y|t)>y)>~(c))>(r|r))
| 0 | 1 | 0 | 0 |
not entailment
|
~((r>((y|((r&y)|y))&(j|l))))
|
((~(j)&y)>(~((l&j))&((r>y)&t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&~(y))
|
(j&((y|((~((l>l))>l)|j))|c))
| 1 | 0 | 0 | 0 |
entailment
|
((y&t)&(((t|j)&((c&y)>(t|j)))&r))
|
(((r>c)>r)&r)
| 1 | 1 | 1 | 1 |
entailment
|
(j&~(y))
|
(((r>c)>r)&r)
| 0 | 0 | 0 | 0 |
not entailment
|
((y&t)&(((t|j)&((c&y)>(t|j)))&r))
|
(j&((y|((~((l>l))>l)|j))|c))
| 0 | 1 | 0 | 0 |
not entailment
|
((l&r)&(y&j))
|
((c>y)>~((~(((t&c)|j))&y)))
| 1 | 0 | 0 | 0 |
entailment
|
(((((l|c)&t)|(r&r))&(l|l))&~(j))
|
~((j&c))
| 1 | 1 | 1 | 0 |
entailment
|
((l&r)&(y&j))
|
~((j&c))
| 0 | 1 | 0 | 0 |
not entailment
|
(((((l|c)&t)|(r&r))&(l|l))&~(j))
|
((c>y)>~((~(((t&c)|j))&y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&((j>((l>t)&t))>l))
|
((j|l)|~(r))
| 1 | 1 | 1 | 0 |
entailment
|
(((j>l)>(~(~(l))>r))&y)
|
((t|t)>(y&(~(l)|~((y&~(t))))))
| 1 | 0 | 0 | 0 |
entailment
|
(r&((j>((l>t)&t))>l))
|
((t|t)>(y&(~(l)|~((y&~(t))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((j>l)>(~(~(l))>r))&y)
|
((j|l)|~(r))
| 0 | 1 | 1 | 0 |
not entailment
|
(r&l)
|
(~(~(y))>((j>(r|((l>j)&l)))&r))
| 1 | 0 | 0 | 0 |
entailment
|
((c>l)>(t|t))
|
~(~((((t|t)|(l>t))|y)))
| 1 | 0 | 0 | 0 |
entailment
|
(r&l)
|
~(~((((t|t)|(l>t))|y)))
| 0 | 0 | 0 | 0 |
not entailment
|
((c>l)>(t|t))
|
(~(~(y))>((j>(r|((l>j)&l)))&r))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((y|l)|(y|t))&j)|~(j)))
|
(((j|t)|(j&r))>(~(t)|(~(j)|(t&y))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(((y>r)>(t|r))|t))
|
(((~(~((j&j)))&~(t))&((j>r)&j))>t)
| 1 | 0 | 0 | 0 |
entailment
|
~(((((y|l)|(y|t))&j)|~(j)))
|
(((~(~((j&j)))&~(t))&((j>r)&j))>t)
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(((y>r)>(t|r))|t))
|
(((j|t)|(j&r))>(~(t)|(~(j)|(t&y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((j&(t>l))))&(~((t>l))|c))
|
(j|r)
| 1 | 1 | 0 | 0 |
entailment
|
(c&t)
|
(t&t)
| 1 | 1 | 1 | 1 |
entailment
|
(~(~((j&(t>l))))&(~((t>l))|c))
|
(t&t)
| 0 | 1 | 1 | 1 |
not entailment
|
(c&t)
|
(j|r)
| 0 | 1 | 0 | 0 |
not entailment
|
((l&r)&(~(l)>c))
|
((r|t)|(((j&~((j>l)))&(~(c)>c))|(y>t)))
| 1 | 0 | 0 | 0 |
entailment
|
(c&c)
|
(c|((y&t)|(y&(j|~(~(c))))))
| 1 | 0 | 0 | 0 |
entailment
|
((l&r)&(~(l)>c))
|
(c|((y&t)|(y&(j|~(~(c))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&c)
|
((r|t)|(((j&~((j>l)))&(~(c)>c))|(y>t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((t>j)>y)&((l&t)|~(y)))
|
(~((y>((~(((r>l)>r))|~((c&c)))>r)))>l)
| 1 | 0 | 0 | 0 |
entailment
|
~((j|~((y&(((y>r)&t)|y)))))
|
(c>((l>y)&((y|r)|l)))
| 1 | 1 | 0 | 0 |
entailment
|
(((t>j)>y)&((l&t)|~(y)))
|
(c>((l>y)&((y|r)|l)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((j|~((y&(((y>r)&t)|y)))))
|
(~((y>((~(((r>l)>r))|~((c&c)))>r)))>l)
| 0 | 0 | 0 | 0 |
not entailment
|
(y|j)
|
((~(((j>j)>j))>(y|(r&c)))|((t|c)|l))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(~(r))&~(y))>j))
|
~(((t|j)&(c&j)))
| 1 | 1 | 0 | 0 |
entailment
|
(y|j)
|
~(((t|j)&(c&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(~(r))&~(y))>j))
|
((~(((j>j)>j))>(y|(r&c)))|((t|c)|l))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t&j)>~(r)))
|
(((y>r)&r)|r)
| 1 | 1 | 0 | 0 |
entailment
|
((t&c)&(l&l))
|
((y>c)|l)
| 1 | 1 | 0 | 0 |
entailment
|
~(((t&j)>~(r)))
|
((y>c)|l)
| 0 | 1 | 0 | 0 |
not entailment
|
((t&c)&(l&l))
|
(((y>r)&r)|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(w|~(c))
|
((((~(f)&f)&f)|(~(w)&c))>(f>(w&w)))
| 1 | 0 | 0 | 0 |
entailment
|
((f>(f|~(~(f))))>(c|(((f&c)|f)&~(f))))
|
(~((w>(w&(w&w))))|((w>c)|c))
| 1 | 1 | 0 | 0 |
entailment
|
(w|~(c))
|
(~((w>(w&(w&w))))|((w>c)|c))
| 0 | 0 | 1 | 0 |
not entailment
|
((f>(f|~(~(f))))>(c|(((f&c)|f)&~(f))))
|
((((~(f)&f)&f)|(~(w)&c))>(f>(w&w)))
| 0 | 1 | 0 | 0 |
not entailment
|
(w|c)
|
(c|(~(((w&c)|f))|((c|w)&((f>c)>w))))
| 1 | 0 | 0 | 0 |
entailment
|
((f>(((f|w)|f)>c))>(c&(c&f)))
|
((f|c)&((~(f)|c)|~(c)))
| 1 | 1 | 1 | 0 |
entailment
|
(w|c)
|
((f|c)&((~(f)|c)|~(c)))
| 0 | 0 | 0 | 0 |
not entailment
|
((f>(((f|w)|f)>c))>(c&(c&f)))
|
(c|(~(((w&c)|f))|((c|w)&((f>c)>w))))
| 0 | 0 | 1 | 0 |
not entailment
|
(w&c)
|
((w|w)&((w|(f|(w>f)))>(c|(c>c))))
| 1 | 0 | 0 | 0 |
entailment
|
~((f>c))
|
((f&f)&f)
| 1 | 1 | 1 | 1 |
entailment
|
(w&c)
|
((f&f)&f)
| 0 | 0 | 0 | 0 |
not entailment
|
~((f>c))
|
((w|w)&((w|(f|(w>f)))>(c|(c>c))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&((f>w)&c))
|
(((w>w)|w)>w)
| 1 | 1 | 1 | 0 |
entailment
|
~((((~(w)|w)>(c>(~(f)>w)))>((f|c)|f)))
|
~(((c>w)>~(~((w&f)))))
| 1 | 1 | 1 | 1 |
entailment
|
(f&((f>w)&c))
|
~(((c>w)>~(~((w&f)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((~(w)|w)>(c>(~(f)>w)))>((f|c)|f)))
|
(((w>w)|w)>w)
| 0 | 1 | 1 | 1 |
not entailment
|
(f&~((f>c)))
|
(c|f)
| 1 | 1 | 1 | 0 |
entailment
|
(~(c)&~(f))
|
~(((f|(w|((f>f)>c)))&((f>c)>f)))
| 1 | 0 | 0 | 0 |
entailment
|
(f&~((f>c)))
|
~(((f|(w|((f>f)>c)))&((f>c)>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(c)&~(f))
|
(c|f)
| 0 | 1 | 1 | 0 |
not entailment
|
((f>~(w))>((w&c)&w))
|
(c>(f>(c&w)))
| 1 | 1 | 1 | 0 |
entailment
|
~((w|(~((f&((c>(w>c))&f)))&w)))
|
~((w&(f&f)))
| 1 | 1 | 1 | 0 |
entailment
|
((f>~(w))>((w&c)&w))
|
~((w&(f&f)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((w|(~((f&((c>(w>c))&f)))&w)))
|
(c>(f>(c&w)))
| 0 | 1 | 1 | 0 |
not entailment
|
((w|c)|(w|w))
|
(((w>w)&(((f&f)|c)&c))|w)
| 1 | 0 | 0 | 0 |
entailment
|
~((c&c))
|
(c>(w|w))
| 1 | 1 | 0 | 0 |
entailment
|
((w|c)|(w|w))
|
(c>(w|w))
| 0 | 1 | 1 | 0 |
not entailment
|
~((c&c))
|
(((w>w)&(((f&f)|c)&c))|w)
| 0 | 0 | 0 | 0 |
not entailment
|
(((c&f)|(~(f)>f))&(w|w))
|
(w&w)
| 1 | 1 | 1 | 1 |
entailment
|
~(f)
|
(~(~(((c>(f&f))&f)))>(f&(c&c)))
| 1 | 0 | 0 | 0 |
entailment
|
(((c&f)|(~(f)>f))&(w|w))
|
(~(~(((c>(f&f))&f)))>(f&(c&c)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(f)
|
(w&w)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~((c>(f&f)))))&(w|(f&w)))
|
((c|c)|(w&w))
| 1 | 1 | 1 | 1 |
entailment
|
~(((f>c)>c))
|
(~((f|(w&f)))>(c>f))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~((c>(f&f)))))&(w|(f&w)))
|
(~((f|(w&f)))>(c>f))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((f>c)>c))
|
((c|c)|(w&w))
| 0 | 1 | 0 | 0 |
not entailment
|
((w&f)&w)
|
((w&(w&w))|w)
| 1 | 0 | 1 | 1 |
entailment
|
(((~(c)&w)|w)>(~(w)&w))
|
(w>c)
| 1 | 1 | 1 | 1 |
entailment
|
((w&f)&w)
|
(w>c)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(c)&w)|w)>(~(w)&w))
|
((w&(w&w))|w)
| 0 | 1 | 1 | 1 |
not entailment
|
(((~((c|f))&c)>(w>w))&(c&f))
|
(c|~(((f&(w|f))>((w|c)&(w&c)))))
| 1 | 0 | 1 | 1 |
entailment
|
((c|f)>~((~((f|(c>f)))|f)))
|
~((w&f))
| 1 | 1 | 0 | 0 |
entailment
|
(((~((c|f))&c)>(w>w))&(c&f))
|
~((w&f))
| 0 | 1 | 1 | 0 |
not entailment
|
((c|f)>~((~((f|(c>f)))|f)))
|
(c|~(((f&(w|f))>((w|c)&(w&c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((c|f)>~(w))&(f|c))
|
~(((w&(f&f))&((c&f)>~(~((f&w))))))
| 1 | 0 | 1 | 1 |
entailment
|
((c&w)&((c|(c&w))&(f>w)))
|
((~(((f|w)>(w|w)))&((f>c)&f))|w)
| 1 | 0 | 1 | 0 |
entailment
|
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