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 |
|---|---|---|---|---|---|---|
(z&q)
|
(~((((g&g)&(q&x))|(q|~(z))))>~(y))
| 1 | 0 | 0 | 0 |
entailment
|
((x|q)>~(~((~(((e&g)&(d>u)))&d))))
|
~(((x&u)&~(d)))
| 1 | 1 | 1 | 1 |
entailment
|
(z&q)
|
~(((x&u)&~(d)))
| 0 | 0 | 0 | 0 |
not entailment
|
((x|q)>~(~((~(((e&g)&(d>u)))&d))))
|
(~((((g&g)&(q&x))|(q|~(z))))>~(y))
| 0 | 1 | 0 | 0 |
not entailment
|
((((z|(g|z))>~(z))|~((g>f)))>(z&g))
|
((c&f)>z)
| 1 | 1 | 0 | 0 |
entailment
|
((z|(r>r))>r)
|
((~(r)&~((~(((g|f)>(z&g)))|f)))>g)
| 1 | 0 | 0 | 0 |
entailment
|
((((z|(g|z))>~(z))|~((g>f)))>(z&g))
|
((~(r)&~((~(((g|f)>(z&g)))|f)))>g)
| 0 | 1 | 0 | 0 |
not entailment
|
((z|(r>r))>r)
|
((c&f)>z)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&z)
|
((r|z)&(~(c)>f))
| 1 | 0 | 0 | 0 |
entailment
|
(f&~((f&c)))
|
(c>g)
| 1 | 1 | 0 | 0 |
entailment
|
(c&z)
|
(c>g)
| 0 | 1 | 0 | 0 |
not entailment
|
(f&~((f&c)))
|
((r|z)&(~(c)>f))
| 0 | 0 | 0 | 0 |
not entailment
|
(((c>r)&((z>c)>(g&c)))|(z|(~(g)&r)))
|
((z&z)|(~((c>f))|((c>r)|~(f))))
| 1 | 1 | 0 | 0 |
entailment
|
(~((z&(r&z)))>((g>g)>g))
|
(f>(~(g)>z))
| 1 | 1 | 0 | 0 |
entailment
|
(((c>r)&((z>c)>(g&c)))|(z|(~(g)&r)))
|
(f>(~(g)>z))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((z&(r&z)))>((g>g)>g))
|
((z&z)|(~((c>f))|((c>r)|~(f))))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&c)&((c&c)&(r>(z&z))))
|
(((((~(z)|z)&((f|g)|g))>f)&z)>r)
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(f))&c)&g)
|
(g&g)
| 1 | 1 | 1 | 1 |
entailment
|
((r&c)&((c&c)&(r>(z&z))))
|
(g&g)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(f))&c)&g)
|
(((((~(z)|z)&((f|g)|g))>f)&z)>r)
| 0 | 0 | 0 | 0 |
not entailment
|
(r&g)
|
(g|(~((f&((f&f)>f)))&f))
| 1 | 0 | 0 | 0 |
entailment
|
((z&c)&((z>f)&(c&c)))
|
(r>c)
| 1 | 1 | 0 | 0 |
entailment
|
(r&g)
|
(r>c)
| 0 | 1 | 0 | 0 |
not entailment
|
((z&c)&((z>f)&(c&c)))
|
(g|(~((f&((f&f)>f)))&f))
| 0 | 0 | 0 | 0 |
not entailment
|
((((c&f)|r)>z)&r)
|
(((f|f)&r)|((c|g)>z))
| 1 | 0 | 0 | 0 |
entailment
|
((f|f)&((g&c)|~((r|z))))
|
((f&f)|(((f>r)>g)&(g|g)))
| 1 | 1 | 1 | 1 |
entailment
|
((((c&f)|r)>z)&r)
|
((f&f)|(((f>r)>g)&(g|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
((f|f)&((g&c)|~((r|z))))
|
(((f|f)&r)|((c|g)>z))
| 0 | 1 | 1 | 0 |
not entailment
|
(g&z)
|
(c|((((f>g)|c)>(~((g>z))>f))|(z&(g&r))))
| 1 | 0 | 0 | 0 |
entailment
|
((f>c)&~(z))
|
((c|z)>c)
| 1 | 1 | 1 | 0 |
entailment
|
(g&z)
|
((c|z)>c)
| 0 | 0 | 0 | 0 |
not entailment
|
((f>c)&~(z))
|
(c|((((f>g)|c)>(~((g>z))>f))|(z&(g&r))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((z|r)&z)&z)&((r&g)|f))
|
(g|(g|f))
| 1 | 1 | 1 | 1 |
entailment
|
~((((g&z)|((f|c)|c))>~((r|r))))
|
(r|~((f|c)))
| 1 | 1 | 1 | 0 |
entailment
|
((((z|r)&z)&z)&((r&g)|f))
|
(r|~((f|c)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((g&z)|((f|c)|c))>~((r|r))))
|
(g|(g|f))
| 0 | 1 | 1 | 1 |
not entailment
|
(((z&(r|z))|z)&((~(f)>((f&c)|~(c)))>c))
|
(~(~((f|z)))|(r>f))
| 1 | 1 | 1 | 0 |
entailment
|
~(c)
|
(~(~(c))>(((c>f)&~(g))&r))
| 1 | 0 | 0 | 0 |
entailment
|
(((z&(r|z))|z)&((~(f)>((f&c)|~(c)))>c))
|
(~(~(c))>(((c>f)&~(g))&r))
| 0 | 1 | 0 | 0 |
not entailment
|
~(c)
|
(~(~((f|z)))|(r>f))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~((((r>f)>r)|(~(z)|c)))&c)|c)&(f&c))
|
((((g>(g>g))|c)&f)|(c&z))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(z))&(g>f))
|
(z|~(~((((f|f)|((c&g)>z))>~(r)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~((((r>f)>r)|(~(z)|c)))&c)|c)&(f&c))
|
(z|~(~((((f|f)|((c&g)>z))>~(r)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(z))&(g>f))
|
((((g>(g>g))|c)&f)|(c&z))
| 0 | 0 | 0 | 0 |
not entailment
|
(((c|c)&~(((c|c)>r)))&f)
|
~(~((~(r)&c)))
| 1 | 1 | 1 | 1 |
entailment
|
((c&c)&(z&r))
|
(((f>f)&(c>c))&r)
| 1 | 0 | 0 | 0 |
entailment
|
(((c|c)&~(((c|c)>r)))&f)
|
(((f>f)&(c>c))&r)
| 0 | 1 | 1 | 0 |
not entailment
|
((c&c)&(z&r))
|
~(~((~(r)&c)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(z)
|
(~(((f&c)&(c>~(c))))&(~(z)|(r|r)))
| 1 | 0 | 0 | 0 |
entailment
|
((f|~(~(~((f&r)))))>(g|g))
|
((g&~(~(~(~(((r>c)|z))))))|(r|~(c)))
| 1 | 0 | 0 | 0 |
entailment
|
~(z)
|
((g&~(~(~(~(((r>c)|z))))))|(r|~(c)))
| 0 | 0 | 0 | 0 |
not entailment
|
((f|~(~(~((f&r)))))>(g|g))
|
(~(((f&c)&(c>~(c))))&(~(z)|(r|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&r)
|
((r|(g|g))|(z>c))
| 1 | 0 | 0 | 0 |
entailment
|
(~(z)>~(~(~(~(~(~(((g|r)&f))))))))
|
((r>f)|z)
| 1 | 1 | 1 | 0 |
entailment
|
(g&r)
|
((r>f)|z)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(z)>~(~(~(~(~(~(((g|r)&f))))))))
|
((r|(g|g))|(z>c))
| 0 | 1 | 0 | 0 |
not entailment
|
((r&g)&~((r>(~(f)&g))))
|
(z|((r>c)>f))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(z))&z))
|
(((c|~(f))|~((f|r)))|~(((z>f)&(z&g))))
| 1 | 0 | 0 | 0 |
entailment
|
((r&g)&~((r>(~(f)&g))))
|
(((c|~(f))|~((f|r)))|~(((z>f)&(z&g))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(z))&z))
|
(z|((r>c)>f))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&c)
|
((g|((c>c)>f))>(c&z))
| 1 | 0 | 0 | 0 |
entailment
|
((f|c)&((c|(f>((z&r)|g)))>r))
|
((c&f)>r)
| 1 | 1 | 1 | 0 |
entailment
|
(z&c)
|
((c&f)>r)
| 0 | 0 | 0 | 0 |
not entailment
|
((f|c)&((c|(f>((z&r)|g)))>r))
|
((g|((c>c)>f))>(c&z))
| 0 | 1 | 1 | 0 |
not entailment
|
((c|(((g|c)&c)&(f|~(~(c)))))&~(~(c)))
|
((r>(~(z)>r))&(c|f))
| 1 | 1 | 0 | 0 |
entailment
|
~(((f|r)>f))
|
(f>r)
| 1 | 1 | 1 | 1 |
entailment
|
((c|(((g|c)&c)&(f|~(~(c)))))&~(~(c)))
|
(f>r)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((f|r)>f))
|
((r>(~(z)>r))&(c|f))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((z&(z|z)))&(~(c)|f))
|
(c|(z>~(((f|f)>z))))
| 1 | 1 | 1 | 0 |
entailment
|
~(((c>c)&(((z&g)>g)&(g>f))))
|
((r&(~(r)|~((f>(z|c)))))>(f>c))
| 1 | 0 | 0 | 0 |
entailment
|
(~((z&(z|z)))&(~(c)|f))
|
((r&(~(r)|~((f>(z|c)))))>(f>c))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((c>c)&(((z&g)>g)&(g>f))))
|
(c|(z>~(((f|f)>z))))
| 0 | 1 | 1 | 0 |
not entailment
|
(g&c)
|
(c|(z|g))
| 1 | 0 | 0 | 0 |
entailment
|
(r&f)
|
(c>r)
| 1 | 1 | 0 | 0 |
entailment
|
(g&c)
|
(c>r)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&f)
|
(c|(z|g))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((r&(((z&(z&r))&f)&(z&f)))))
|
(r|((~(((c|z)|(c>c)))|z)&(~(f)>z)))
| 1 | 0 | 0 | 0 |
entailment
|
(g&~((g>f)))
|
(((~(c)&(f>z))|g)|~(f))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((r&(((z&(z&r))&f)&(z&f)))))
|
(((~(c)&(f>z))|g)|~(f))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&~((g>f)))
|
(r|((~(((c|z)|(c>c)))|z)&(~(f)>z)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((v&((v>~(((y>y)|v)))>(a&a)))|~(p)))
|
(((v|y)>(v>y))|~((m&a)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((~(~((y>((a&v)|v))))&(v&(v>v)))))
|
(((a&y)|(y|(y|a)))>((v|y)|y))
| 1 | 1 | 1 | 0 |
entailment
|
~(((v&((v>~(((y>y)|v)))>(a&a)))|~(p)))
|
(((a&y)|(y|(y|a)))>((v|y)|y))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((~(~((y>((a&v)|v))))&(v&(v>v)))))
|
(((v|y)>(v>y))|~((m&a)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((m|~(a))&a)|v))
|
(p>(((a|(p&y))&(p|p))>(v>m)))
| 1 | 0 | 0 | 0 |
entailment
|
(v&a)
|
((~(~(((m&p)&m)))&(v>v))>a)
| 1 | 0 | 0 | 0 |
entailment
|
~((((m|~(a))&a)|v))
|
((~(~(((m&p)&m)))&(v>v))>a)
| 0 | 0 | 0 | 0 |
not entailment
|
(v&a)
|
(p>(((a|(p&y))&(p|p))>(v>m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((((p|p)&a)>(v|y))&((y&p)&~(v)))))
|
((((a|a)|v)&(m>(y>v)))|((y>m)>p))
| 1 | 1 | 0 | 0 |
entailment
|
(((m>(v&((p>m)>p)))>~(m))&(~((m|y))|m))
|
((m|~(y))|(((v>(p&(a&a)))>a)&y))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((((p|p)&a)>(v|y))&((y&p)&~(v)))))
|
((m|~(y))|(((v>(p&(a&a)))>a)&y))
| 0 | 1 | 0 | 0 |
not entailment
|
(((m>(v&((p>m)>p)))>~(m))&(~((m|y))|m))
|
((((a|a)|v)&(m>(y>v)))|((y>m)>p))
| 0 | 1 | 0 | 0 |
not entailment
|
~((a|(v>m)))
|
((m|m)>p)
| 1 | 1 | 0 | 0 |
entailment
|
((m|a)&m)
|
(m|p)
| 1 | 1 | 0 | 0 |
entailment
|
~((a|(v>m)))
|
(m|p)
| 0 | 1 | 0 | 0 |
not entailment
|
((m|a)&m)
|
((m|m)>p)
| 0 | 1 | 0 | 0 |
not entailment
|
(((y&(m|v))|(v|(y|p)))&(((m&(v>a))&a)&m))
|
((v|(a|(p>y)))>((p|(a|v))|a))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~(((m|(v&v))|v))))
|
~(m)
| 1 | 1 | 1 | 1 |
entailment
|
(((y&(m|v))|(v|(y|p)))&(((m&(v>a))&a)&m))
|
~(m)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(((m|(v&v))|v))))
|
((v|(a|(p>y)))>((p|(a|v))|a))
| 0 | 0 | 0 | 0 |
not entailment
|
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