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&l)&w)
|
((z&w)>(t&(v|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~((z&z))>(~(f)&~((t&v))))|y)|f))
|
(v|f)
| 1 | 1 | 1 | 1 |
entailment
|
(l>~((w>(l|t))))
|
(w>(~((z|(l>y)))>z))
| 1 | 0 | 0 | 0 |
entailment
|
~((((~((z&z))>(~(f)&~((t&v))))|y)|f))
|
(w>(~((z|(l>y)))>z))
| 0 | 1 | 0 | 0 |
not entailment
|
(l>~((w>(l|t))))
|
(v|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((y|v))&~((~(l)&w)))
|
(t>(y>f))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(l)))
|
(~((l|y))|y)
| 1 | 1 | 0 | 0 |
entailment
|
(~((y|v))&~((~(l)&w)))
|
(~((l|y))|y)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(l)))
|
(t>(y>f))
| 0 | 1 | 0 | 0 |
not entailment
|
(((l&z)&v)&~((t|((y>f)&z))))
|
(((v&(f>f))>((z|f)|z))|((v|(l|f))>l))
| 1 | 0 | 1 | 0 |
entailment
|
((w>~(t))&(t&v))
|
(f|t)
| 1 | 1 | 0 | 0 |
entailment
|
(((l&z)&v)&~((t|((y>f)&z))))
|
(f|t)
| 0 | 1 | 1 | 0 |
not entailment
|
((w>~(t))&(t&v))
|
(((v&(f>f))>((z|f)|z))|((v|(l|f))>l))
| 0 | 0 | 0 | 0 |
not entailment
|
~((v|(((y>(l|l))|w)|~(f))))
|
((((f&l)>~(v))>(z|z))|y)
| 1 | 1 | 0 | 0 |
entailment
|
((v&w)&~(((l>~(v))>f)))
|
(((t|~(f))&(w&(f&(y|z))))|v)
| 1 | 0 | 0 | 0 |
entailment
|
~((v|(((y>(l|l))|w)|~(f))))
|
(((t|~(f))&(w&(f&(y|z))))|v)
| 0 | 1 | 0 | 0 |
not entailment
|
((v&w)&~(((l>~(v))>f)))
|
((((f&l)>~(v))>(z|z))|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(w&f)
|
(~((f>y))|(t>y))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(((l|y)|l))>l))&v)
|
((w>y)|~((l&w)))
| 1 | 1 | 0 | 0 |
entailment
|
(w&f)
|
((w>y)|~((l&w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(((l|y)|l))>l))&v)
|
(~((f>y))|(t>y))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&v)
|
(((y|y)&~(f))>((f|y)&t))
| 1 | 0 | 0 | 0 |
entailment
|
(~(t)&((z|z)&(y|v)))
|
~((~(((t&t)&l))&t))
| 1 | 1 | 0 | 0 |
entailment
|
(f&v)
|
~((~(((t&t)&l))&t))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(t)&((z|z)&(y|v)))
|
(((y|y)&~(f))>((f|y)&t))
| 0 | 0 | 0 | 0 |
not entailment
|
(((y>y)&~((l&(t&y))))&((z|(y&z))&(l&w)))
|
(((f>z)&l)|(~(z)|((t>(w>l))>(v>f))))
| 1 | 1 | 0 | 0 |
entailment
|
~((y|(l&t)))
|
(v>(f|((w&z)>(v>~(y)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((y>y)&~((l&(t&y))))&((z|(y&z))&(l&w)))
|
(v>(f|((w&z)>(v>~(y)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((y|(l&t)))
|
(((f>z)&l)|(~(z)|((t>(w>l))>(v>f))))
| 0 | 0 | 0 | 0 |
not entailment
|
((w>w)&(w&y))
|
~(~((((~(y)&l)&(y>(z|t)))>f)))
| 1 | 0 | 0 | 0 |
entailment
|
(l|(f&f))
|
(((f>w)>l)|(~(((f>(v&l))&v))&w))
| 1 | 0 | 0 | 0 |
entailment
|
((w>w)&(w&y))
|
(((f>w)>l)|(~(((f>(v&l))&v))&w))
| 0 | 0 | 0 | 0 |
not entailment
|
(l|(f&f))
|
~(~((((~(y)&l)&(y>(z|t)))>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((w|(l|(v>(t&v)))))
|
~((w&(v>w)))
| 1 | 1 | 1 | 1 |
entailment
|
(t&f)
|
~(~((~(f)>((t>l)&l))))
| 1 | 0 | 0 | 0 |
entailment
|
~((w|(l|(v>(t&v)))))
|
~(~((~(f)>((t>l)&l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&f)
|
~((w&(v>w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((v&f)&~((l|w)))&~((v>w)))
|
(f|((t&w)>l))
| 1 | 1 | 0 | 0 |
entailment
|
(t&((t|v)&y))
|
(((v>y)>((t|f)|l))&t)
| 1 | 0 | 0 | 0 |
entailment
|
(((v&f)&~((l|w)))&~((v>w)))
|
(((v>y)>((t|f)|l))&t)
| 0 | 1 | 0 | 0 |
not entailment
|
(t&((t|v)&y))
|
(f|((t&w)>l))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((((((l&t)>(f&t))&l)&f)|w))))
|
(w>v)
| 1 | 1 | 0 | 0 |
entailment
|
~(y)
|
((((y|(z&y))|(l&f))|f)>(v>(f&v)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((((((l&t)>(f&t))&l)&f)|w))))
|
((((y|(z&y))|(l&f))|f)>(v>(f&v)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(y)
|
(w>v)
| 0 | 1 | 0 | 0 |
not entailment
|
~(v)
|
~((((f>y)&w)&(v&z)))
| 1 | 0 | 0 | 0 |
entailment
|
(t&z)
|
(z|~((f|~(f))))
| 1 | 0 | 0 | 0 |
entailment
|
~(v)
|
(z|~((f|~(f))))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&z)
|
~((((f>y)&w)&(v&z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&z)
|
((w>((w&w)>l))>z)
| 1 | 0 | 0 | 0 |
entailment
|
((t&w)&v)
|
(((v&l)|w)&v)
| 1 | 0 | 0 | 0 |
entailment
|
(z&z)
|
(((v&l)|w)&v)
| 0 | 0 | 0 | 0 |
not entailment
|
((t&w)&v)
|
((w>((w&w)>l))>z)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((d|~(v))|a))
|
(f>~(d))
| 1 | 1 | 0 | 0 |
entailment
|
(~((d>f))|(f|y))
|
(~(y)>(~(~((d>y)))>f))
| 1 | 0 | 1 | 0 |
entailment
|
~(((d|~(v))|a))
|
(~(y)>(~(~((d>y)))>f))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((d>f))|(f|y))
|
(f>~(d))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((a|(v>(~((c&c))|e))))&(t|e))
|
((y|((c>w)&((d&a)&w)))|c)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((v&~((l>(w|a))))&((v>e)>t)))&d)
|
(e|d)
| 1 | 1 | 1 | 1 |
entailment
|
(~((a|(v>(~((c&c))|e))))&(t|e))
|
(e|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((v&~((l>(w|a))))&((v>e)>t)))&d)
|
((y|((c>w)&((d&a)&w)))|c)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d&(v|a))>f))
|
((d>l)>(l|(~(~(d))|(a|(c>t)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(a)
|
((v&l)|(a>(a&l)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d&(v|a))>f))
|
((v&l)|(a>(a&l)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(a)
|
((d>l)>(l|(~(~(d))|(a|(c>t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&f)
|
(((d|(v&e))>~(d))>(y>f))
| 1 | 0 | 0 | 0 |
entailment
|
~((((a&w)>~(e))|((v|d)&(l|(l|w)))))
|
(((d|v)>~((~(e)>w)))|((l|(~(y)&e))|w))
| 1 | 0 | 0 | 0 |
entailment
|
(a&f)
|
(((d|v)>~((~(e)>w)))|((l|(~(y)&e))|w))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((a&w)>~(e))|((v|d)&(l|(l|w)))))
|
(((d|(v&e))>~(d))>(y>f))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&d)
|
(~(d)>(t|v))
| 1 | 0 | 0 | 0 |
entailment
|
(~(t)&e)
|
(y>(e|(v&((l&t)>y))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&d)
|
(y>(e|(v&((l&t)>y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(t)&e)
|
(~(d)>(t|v))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((c|l))&~(((d|c)>y)))
|
~((((t&y)>(y|(c&(d>t))))>(y&e)))
| 1 | 0 | 0 | 0 |
entailment
|
((f&(t&(y&v)))&(w>e))
|
((d>e)|((((f|c)>t)>c)>v))
| 1 | 0 | 0 | 0 |
entailment
|
(~((c|l))&~(((d|c)>y)))
|
((d>e)|((((f|c)>t)>c)>v))
| 0 | 1 | 0 | 0 |
not entailment
|
((f&(t&(y&v)))&(w>e))
|
~((((t&y)>(y|(c&(d>t))))>(y&e)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((f>e)&~(~((y|(e>a)))))|l)>(f>t)))
|
~(~(~((y&~(f)))))
| 1 | 1 | 1 | 0 |
entailment
|
((l>(l|c))&d)
|
((w>e)>(d|y))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((f>e)&~(~((y|(e>a)))))|l)>(f>t)))
|
((w>e)>(d|y))
| 0 | 1 | 0 | 0 |
not entailment
|
((l>(l|c))&d)
|
~(~(~((y&~(f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((f&l)&(t&e))
|
((~((~(d)>(f&a)))|((y|e)&l))>((c>w)|l))
| 1 | 0 | 0 | 0 |
entailment
|
((v>(e>c))&~(e))
|
(a|~(e))
| 1 | 1 | 0 | 0 |
entailment
|
((f&l)&(t&e))
|
(a|~(e))
| 0 | 1 | 0 | 0 |
not entailment
|
((v>(e>c))&~(e))
|
((~((~(d)>(f&a)))|((y|e)&l))>((c>w)|l))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((v>v))|~(~((d&v))))
|
~(~(((f|(e|t))>(~(~(((c|t)|f)))>v))))
| 1 | 0 | 0 | 0 |
entailment
|
~((l>(~((((f>t)>a)&t))|y)))
|
((y>((l|(e&~(c)))|y))>((w|t)|~(v)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((v>v))|~(~((d&v))))
|
((y>((l|(e&~(c)))|y))>((w|t)|~(v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((l>(~((((f>t)>a)&t))|y)))
|
~(~(((f|(e|t))>(~(~(((c|t)|f)))>v))))
| 0 | 0 | 0 | 0 |
not entailment
|
((e&v)&(~(((f|~(y))&~(f)))&a))
|
(((v>e)>d)|(v&e))
| 1 | 1 | 0 | 0 |
entailment
|
~(a)
|
(t|~(a))
| 1 | 0 | 0 | 0 |
entailment
|
((e&v)&(~(((f|~(y))&~(f)))&a))
|
(t|~(a))
| 0 | 1 | 0 | 0 |
not entailment
|
~(a)
|
(((v>e)>d)|(v&e))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(a))|c)&(((l|(d|d))|a)|e))
|
~(~((a|c)))
| 1 | 1 | 1 | 1 |
entailment
|
((~((c&t))&d)&(((w|(t>w))>l)&~(l)))
|
~(~((t|(d|~((t>v))))))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(a))|c)&(((l|(d|d))|a)|e))
|
~(~((t|(d|~((t>v))))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((c&t))&d)&(((w|(t>w))>l)&~(l)))
|
~(~((a|c)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(v))
|
(v|~((f>~((v|c)))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&a)
|
((a|~(a))&(y>a))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(v))
|
((a|~(a))&(y>a))
| 0 | 0 | 0 | 0 |
not entailment
|
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