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 |
|---|---|---|---|---|---|---|
(p|(b|j))
|
((p|(u>((u&a)>j)))|b)
| 1 | 0 | 0 | 0 |
entailment
|
((x&a)&((u>l)>g))
|
((p|(u>((u&a)>j)))|b)
| 0 | 0 | 0 | 0 |
not entailment
|
(p|(b|j))
|
(~(a)>l)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&~(~(a)))
|
((x>(x|z))&(((j|(a>x))&j)|l))
| 1 | 0 | 0 | 0 |
entailment
|
~((g|~(((p>b)>i))))
|
(g>l)
| 1 | 1 | 0 | 0 |
entailment
|
(j&~(~(a)))
|
(g>l)
| 0 | 1 | 0 | 0 |
not entailment
|
~((g|~(((p>b)>i))))
|
((x>(x|z))&(((j|(a>x))&j)|l))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((x>(~(((a>p)&l))|~(l)))|a))
|
(((i|a)>(((l|j)&p)&~(x)))>(((j|a)>p)|x))
| 1 | 0 | 0 | 0 |
entailment
|
~(x)
|
((b|(l&u))|(g>~(x)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((x>(~(((a>p)&l))|~(l)))|a))
|
((b|(l&u))|(g>~(x)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(x)
|
(((i|a)>(((l|j)&p)&~(x)))>(((j|a)>p)|x))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&(i|u))
|
((p|a)|(l&(u>l)))
| 1 | 0 | 0 | 0 |
entailment
|
(u>g)
|
(u>g)
| 1 | 1 | 1 | 1 |
entailment
|
(p&(i|u))
|
(u>g)
| 0 | 1 | 0 | 0 |
not entailment
|
(u>g)
|
((p|a)|(l&(u>l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((x|(p>a)))
|
(~((((x>g)>a)|(b&~(z))))|(a>b))
| 1 | 0 | 0 | 0 |
entailment
|
~(((z>p)|(((x>z)>u)|p)))
|
((z&(~((a>x))>(~(g)>z)))|(~(b)>z))
| 1 | 0 | 0 | 0 |
entailment
|
~((x|(p>a)))
|
((z&(~((a>x))>(~(g)>z)))|(~(b)>z))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z>p)|(((x>z)>u)|p)))
|
(~((((x>g)>a)|(b&~(z))))|(a>b))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(p))>(z&(i>z))))
|
(u>((x&(u&i))>p))
| 1 | 1 | 0 | 0 |
entailment
|
(j&~(~((i&(l&z)))))
|
((j|a)&(l|(a|(p>j))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(p))>(z&(i>z))))
|
((j|a)&(l|(a|(p>j))))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&~(~((i&(l&z)))))
|
(u>((x&(u&i))>p))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((~(j)|(~(j)&x)))))
|
(((j|x)|(p|(g&(x&p))))|((~(p)|z)&l))
| 1 | 0 | 0 | 0 |
entailment
|
((g&((((~(b)|a)|x)&u)>i))&(p>(a&p)))
|
((((~(j)>(u&j))>x)>((b>j)&(g&x)))|(g|u))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((~(j)|(~(j)&x)))))
|
((((~(j)>(u&j))>x)>((b>j)&(g&x)))|(g|u))
| 0 | 0 | 0 | 0 |
not entailment
|
((g&((((~(b)|a)|x)&u)>i))&(p>(a&p)))
|
(((j|x)|(p|(g&(x&p))))|((~(p)|z)&l))
| 0 | 1 | 0 | 0 |
not entailment
|
(((p&l)&b)&~(((g&g)&(u|p))))
|
((u>i)>l)
| 1 | 1 | 0 | 0 |
entailment
|
((((a|(j&g))>u)|j)>~((~(a)>(x>b))))
|
(~(j)|x)
| 1 | 1 | 1 | 1 |
entailment
|
(((p&l)&b)&~(((g&g)&(u|p))))
|
(~(j)|x)
| 0 | 1 | 0 | 0 |
not entailment
|
((((a|(j&g))>u)|j)>~((~(a)>(x>b))))
|
((u>i)>l)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((x&~(x))|a)|(~(l)|(b>g))))
|
~(~((~(b)>~(~((b|i))))))
| 1 | 1 | 0 | 0 |
entailment
|
((x&(l>p))&(l&l))
|
((g|p)|u)
| 1 | 1 | 0 | 0 |
entailment
|
~((((x&~(x))|a)|(~(l)|(b>g))))
|
((g|p)|u)
| 0 | 1 | 0 | 0 |
not entailment
|
((x&(l>p))&(l&l))
|
~(~((~(b)>~(~((b|i))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((s>~((((j|u)&(s>g))|(s&u)))))&a)
|
((e>s)|(u|((~(~(c))&(s>f))>u)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((g>z))&((((f|u)&g)>f)|a))
|
(((z&y)>e)|j)
| 1 | 1 | 0 | 0 |
entailment
|
(~((s>~((((j|u)&(s>g))|(s&u)))))&a)
|
(((z&y)>e)|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((g>z))&((((f|u)&g)>f)|a))
|
((e>s)|(u|((~(~(c))&(s>f))>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
((u>(f>g))>(~(~((~(c)|j)))&y))
|
((u&g)>y)
| 1 | 1 | 1 | 0 |
entailment
|
~(((s>c)|e))
|
((~((y|s))>e)>((e|e)>(y>(s&(e|s)))))
| 1 | 0 | 0 | 0 |
entailment
|
((u>(f>g))>(~(~((~(c)|j)))&y))
|
((~((y|s))>e)>((e|e)>(y>(s&(e|s)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((s>c)|e))
|
((u&g)>y)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&(y>a))
|
((a&f)|(j|a))
| 1 | 0 | 0 | 0 |
entailment
|
~(y)
|
(((j&(((u|f)&s)|z))|~(u))>~(((u>a)&y)))
| 1 | 0 | 0 | 0 |
entailment
|
(y&(y>a))
|
(((j&(((u|f)&s)|z))|~(u))>~(((u>a)&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(y)
|
((a&f)|(j|a))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((c>c)>u)|u)&~(s))&((f>u)|s))
|
((u|(e|~(j)))|(s|a))
| 1 | 1 | 0 | 0 |
entailment
|
(((g&(((j|(u|e))|(f|z))&~(~(c))))&s)|y)
|
(a|((y|~(j))|g))
| 1 | 1 | 0 | 0 |
entailment
|
(((((c>c)>u)|u)&~(s))&((f>u)|s))
|
(a|((y|~(j))|g))
| 0 | 1 | 0 | 0 |
not entailment
|
(((g&(((j|(u|e))|(f|z))&~(~(c))))&s)|y)
|
((u|(e|~(j)))|(s|a))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((((u|a)&u)>(j&y))&a))&(s|g))
|
(((y>c)>((s|e)|u))|((g>u)>(c|(s&e))))
| 1 | 0 | 0 | 0 |
entailment
|
~(y)
|
(((a&y)>g)&(((g&e)&~(a))>e))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((((u|a)&u)>(j&y))&a))&(s|g))
|
(((a&y)>g)&(((g&e)&~(a))>e))
| 0 | 1 | 0 | 0 |
not entailment
|
~(y)
|
(((y>c)>((s|e)|u))|((g>u)>(c|(s&e))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c>((s&~(~((f&~(g)))))>y)))
|
(u>f)
| 1 | 1 | 0 | 0 |
entailment
|
(e&u)
|
(g|(e|j))
| 1 | 0 | 0 | 0 |
entailment
|
~((c>((s&~(~((f&~(g)))))>y)))
|
(g|(e|j))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&u)
|
(u>f)
| 0 | 1 | 0 | 0 |
not entailment
|
(g&~((s>~(a))))
|
(u>(j|(u>s)))
| 1 | 1 | 0 | 0 |
entailment
|
(z&(c|(f>~(s))))
|
(z|(y&a))
| 1 | 1 | 0 | 0 |
entailment
|
(g&~((s>~(a))))
|
(z|(y&a))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&(c|(f>~(s))))
|
(u>(j|(u>s)))
| 0 | 1 | 0 | 0 |
not entailment
|
((u&e)&(z|(g&s)))
|
~(~(((s&((f|(y&u))|(g|z)))>e)))
| 1 | 0 | 0 | 0 |
entailment
|
((y&((s&u)>u))&(j|c))
|
((s|g)|(y|((j&(~(e)|(~(s)&a)))&(u|f))))
| 1 | 0 | 0 | 0 |
entailment
|
((u&e)&(z|(g&s)))
|
((s|g)|(y|((j&(~(e)|(~(s)&a)))&(u|f))))
| 0 | 0 | 0 | 0 |
not entailment
|
((y&((s&u)>u))&(j|c))
|
~(~(((s&((f|(y&u))|(g|z)))>e)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((j&(e&a))))>~((s&s))))
|
((~((s|s))>(y|g))|((c&y)&s))
| 1 | 1 | 0 | 0 |
entailment
|
((e&c)&e)
|
((z|e)&c)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~((j&(e&a))))>~((s&s))))
|
((z|e)&c)
| 0 | 1 | 0 | 0 |
not entailment
|
((e&c)&e)
|
((~((s|s))>(y|g))|((c&y)&s))
| 0 | 0 | 0 | 0 |
not entailment
|
((f&(e&((f|e)|c)))|s)
|
(~(f)>(z>s))
| 1 | 1 | 0 | 0 |
entailment
|
~((((y>s)|e)&g))
|
((~(e)>((j>j)>c))|(g>(f>y)))
| 1 | 0 | 0 | 0 |
entailment
|
((f&(e&((f|e)|c)))|s)
|
((~(e)>((j>j)>c))|(g>(f>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((y>s)|e)&g))
|
(~(f)>(z>s))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(y)&~((((f&y)|e)>a)))
|
~((((((f>f)|u)|(~(a)|s))&(a&c))&g))
| 1 | 0 | 0 | 0 |
entailment
|
~((((j|(z|s))&~(f))|(~((e>u))>(y|f))))
|
(a|~(((~(~(e))&((y&g)>g))&j)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(y)&~((((f&y)|e)>a)))
|
(a|~(((~(~(e))&((y&g)>g))&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((j|(z|s))&~(f))|(~((e>u))>(y|f))))
|
~((((((f>f)|u)|(~(a)|s))&(a&c))&g))
| 0 | 1 | 0 | 0 |
not entailment
|
((((e&s)>(j>e))&u)&c)
|
(((a&c)|~(~(((c&c)|(e|y)))))&(u>u))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((g|g))|((y|e)&g)))
|
(e>~((((~(f)>e)&(~(c)>~(c)))>~(a))))
| 1 | 0 | 0 | 0 |
entailment
|
((((e&s)>(j>e))&u)&c)
|
(e>~((((~(f)>e)&(~(c)>~(c)))>~(a))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((g|g))|((y|e)&g)))
|
(((a&c)|~(~(((c&c)|(e|y)))))&(u>u))
| 0 | 0 | 0 | 0 |
not entailment
|
(((j>f)>y)&(j&((f|(f|e))|(e&g))))
|
(f|(((((g|~(u))&g)>f)>~(~(a)))>j))
| 1 | 0 | 0 | 0 |
entailment
|
~((u|(c|(f|c))))
|
(~(~(c))>(((g|j)>s)&f))
| 1 | 0 | 0 | 0 |
entailment
|
(((j>f)>y)&(j&((f|(f|e))|(e&g))))
|
(~(~(c))>(((g|j)>s)&f))
| 0 | 1 | 0 | 0 |
not entailment
|
~((u|(c|(f|c))))
|
(f|(((((g|~(u))&g)>f)>~(~(a)))>j))
| 0 | 0 | 0 | 0 |
not entailment
|
((s>g)&((a&s)&(a>e)))
|
~(((g>j)&~((u>(y|e)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((f|f)&(c&(y>j)))&(s&(f&u)))
|
(y|(~(~((u&(~(f)>s))))|((f|y)|~(c))))
| 1 | 0 | 1 | 0 |
entailment
|
((s>g)&((a&s)&(a>e)))
|
(y|(~(~((u&(~(f)>s))))|((f|y)|~(c))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((f|f)&(c&(y>j)))&(s&(f&u)))
|
~(((g>j)&~((u>(y|e)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((((c>c)>f)>(y&(a>c)))&~(~((s&y))))
|
((c&(j|~(c)))>(((g&z)|s)|~(y)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(y)|z)|(~((y>g))&(g|(j&e)))))
|
~(z)
| 1 | 1 | 1 | 1 |
entailment
|
((((c>c)>f)>(y&(a>c)))&~(~((s&y))))
|
~(z)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(y)|z)|(~((y>g))&(g|(j&e)))))
|
((c&(j|~(c)))>(((g&z)|s)|~(y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&f)
|
(s>((f|b)>(e>f)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((((s|s)|s)&(b&e))))
|
~(~((e&(z|s))))
| 1 | 1 | 0 | 0 |
entailment
|
(z&f)
|
~(~((e&(z|s))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((s|s)|s)&(b&e))))
|
(s>((f|b)>(e>f)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((z&z)|(e>(e>~(e)))))
|
((b|s)|~(z))
| 1 | 1 | 0 | 0 |
entailment
|
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