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>~(~(x)))|(m>z))>~((m&(y|~(z)))))
|
(~(~(((z|(m|x))>m)))|((n|(n&m))|x))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&n)
|
(((y|z)|(~(n)|m))&n)
| 1 | 0 | 0 | 0 |
entailment
|
(((n&y)|(n&(z>n)))&(x&~(z)))
|
((y>z)>(x&(~(~(m))|(y>(y&z)))))
| 1 | 0 | 0 | 0 |
entailment
|
(z&n)
|
((y>z)>(x&(~(~(m))|(y>(y&z)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((n&y)|(n&(z>n)))&(x&~(z)))
|
(((y|z)|(~(n)|m))&n)
| 0 | 1 | 0 | 0 |
not entailment
|
(x&m)
|
(z|(~((n|~((x>z))))>m))
| 1 | 0 | 0 | 0 |
entailment
|
(y|(((x|(((n&n)>x)|y))&y)&z))
|
((z|y)&(z|y))
| 1 | 1 | 1 | 1 |
entailment
|
(x&m)
|
((z|y)&(z|y))
| 0 | 0 | 0 | 0 |
not entailment
|
(y|(((x|(((n&n)>x)|y))&y)&z))
|
(z|(~((n|~((x>z))))>m))
| 0 | 1 | 0 | 0 |
not entailment
|
((y|y)&((z>n)>~((x|m))))
|
(((n>y)|z)|m)
| 1 | 1 | 1 | 0 |
entailment
|
(~((((((z>n)>(z>y))|y)|y)>(n>y)))&~(z))
|
~(z)
| 1 | 1 | 1 | 1 |
entailment
|
((y|y)&((z>n)>~((x|m))))
|
~(z)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((((((z>n)>(z>y))|y)|y)>(n>y)))&~(z))
|
(((n>y)|z)|m)
| 0 | 1 | 0 | 0 |
not entailment
|
((n&y)&((y|m)>(y|n)))
|
~(((n|(y&z))>~(~(~((~(~(n))|m))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((n|((n>(x&(x|m)))&y)))
|
(~(y)|(m&m))
| 1 | 1 | 1 | 0 |
entailment
|
((n&y)&((y|m)>(y|n)))
|
(~(y)|(m&m))
| 0 | 1 | 1 | 0 |
not entailment
|
~((n|((n>(x&(x|m)))&y)))
|
~(((n|(y&z))>~(~(~((~(~(n))|m))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&x)
|
(x|n)
| 1 | 1 | 1 | 1 |
entailment
|
((m>n)&(((((n|y)&z)&y)>(n|m))&~(n)))
|
((((x|x)|(x&y))|(z|~(z)))&~((n&~(z))))
| 1 | 0 | 0 | 0 |
entailment
|
(n&x)
|
((((x|x)|(x&y))|(z|~(z)))&~((n&~(z))))
| 0 | 0 | 0 | 0 |
not entailment
|
((m>n)&(((((n|y)&z)&y)>(n|m))&~(n)))
|
(x|n)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(n)|(~((n>(z|z)))|~(n))))
|
(x>n)
| 1 | 1 | 0 | 0 |
entailment
|
((m&(~(n)|y))&~(~((n|z))))
|
(((z&z)>~(((x|m)|x)))>m)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(n)|(~((n>(z|z)))|~(n))))
|
(((z&z)>~(((x|m)|x)))>m)
| 0 | 1 | 0 | 0 |
not entailment
|
((m&(~(n)|y))&~(~((n|z))))
|
(x>n)
| 0 | 1 | 0 | 0 |
not entailment
|
(x|x)
|
((((~(z)|z)&(y|((z>n)|n)))>~(y))|(x|z))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(~(m)))|n)>(~(m)&m))
|
((~(y)>(m&n))>(n>(m>(x>z))))
| 1 | 1 | 0 | 0 |
entailment
|
(x|x)
|
((~(y)>(m&n))>(n>(m>(x>z))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(~(m)))|n)>(~(m)&m))
|
((((~(z)|z)&(y|((z>n)|n)))>~(y))|(x|z))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&(x>z))
|
~(~(z))
| 1 | 1 | 1 | 1 |
entailment
|
(x&~(((m&m)|n)))
|
~((((y>x)>(n&~((y|y))))&z))
| 1 | 0 | 0 | 0 |
entailment
|
(x&(x>z))
|
~((((y>x)>(n&~((y|y))))&z))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&~(((m&m)|n)))
|
~(~(z))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((m>x))&z)
|
(m|((x|n)>~(y)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((((m>x)&(z&m))|(z&m))>(n>m))&n))
|
~(((n|n)&(m&((x>x)&(n|x)))))
| 1 | 1 | 1 | 0 |
entailment
|
(~((m>x))&z)
|
~(((n|n)&(m&((x>x)&(n|x)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((((m>x)&(z&m))|(z&m))>(n>m))&n))
|
(m|((x|n)>~(y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(n)&z)
|
((m|n)>z)
| 1 | 1 | 0 | 0 |
entailment
|
~((m|((n>m)|(n>~((m>(x>x)))))))
|
(~(m)|(~((x&(z>m)))|(~((n|(m>z)))&x)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(n)&z)
|
(~(m)|(~((x&(z>m)))|(~((n|(m>z)))&x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m|((n>m)|(n>~((m>(x>x)))))))
|
((m|n)>z)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&(n&~((n>~(m)))))
|
((((((x&x)>m)&x)|(m&(y>z)))>z)>~(~(y)))
| 1 | 0 | 0 | 0 |
entailment
|
(n&x)
|
(~((~((y|n))|m))|~(~(x)))
| 1 | 0 | 0 | 0 |
entailment
|
(y&(n&~((n>~(m)))))
|
(~((~((y|n))|m))|~(~(x)))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&x)
|
((((((x&x)>m)&x)|(m&(y>z)))>z)>~(~(y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((x>(n>y)))
|
(~((x|x))>x)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~((z|(y>m)))))
|
(((m&m)>~(m))|~(((m|~((x>m)))>m)))
| 1 | 0 | 0 | 0 |
entailment
|
~((x>(n>y)))
|
(((m&m)>~(m))|~(((m|~((x>m)))>m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((z|(y>m)))))
|
(~((x|x))>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(z&j))
|
(b>j)
| 1 | 1 | 1 | 0 |
entailment
|
~((h>y))
|
((~(((a>z)|~(j)))|(h|g))|((r>h)>(h&r)))
| 1 | 0 | 0 | 0 |
entailment
|
(b&(z&j))
|
((~(((a>z)|~(j)))|(h|g))|((r>h)>(h&r)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((h>y))
|
(b>j)
| 0 | 1 | 0 | 0 |
not entailment
|
((y&j)&~((a|(a&g))))
|
((((g>g)>g)|y)|z)
| 1 | 1 | 0 | 0 |
entailment
|
(~(b)|u)
|
(((j|t)>u)|(b>h))
| 1 | 0 | 0 | 0 |
entailment
|
((y&j)&~((a|(a&g))))
|
(((j|t)>u)|(b>h))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(b)|u)
|
((((g>g)>g)|y)|z)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(z)&(j>((h|j)|g)))
|
((z>b)|(h|(t>r)))
| 1 | 1 | 0 | 0 |
entailment
|
~((a>((g>(j&~(b)))>~(z))))
|
(~(((t>a)|b))|(a|(y&j)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(z)&(j>((h|j)|g)))
|
(~(((t>a)|b))|(a|(y&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((a>((g>(j&~(b)))>~(z))))
|
((z>b)|(h|(t>r)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((a>(r&(j&~(z)))))
|
((a|a)|(r|r))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~(((z>(b|t))|~(((t>b)|r))))))
|
((z&b)|((u|(j>z))|(b>(~(y)&~(j)))))
| 1 | 1 | 0 | 0 |
entailment
|
~((a>(r&(j&~(z)))))
|
((z&b)|((u|(j>z))|(b>(~(y)&~(j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(((z>(b|t))|~(((t>b)|r))))))
|
((a|a)|(r|r))
| 0 | 1 | 0 | 0 |
not entailment
|
((r&(g&b))&(a>z))
|
(~((g>j))|b)
| 1 | 1 | 0 | 0 |
entailment
|
(~(j)&t)
|
(((~(b)|b)|((j|(a&b))|y))&t)
| 1 | 0 | 0 | 0 |
entailment
|
((r&(g&b))&(a>z))
|
(((~(b)|b)|((j|(a&b))|y))&t)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(j)&t)
|
(~((g>j))|b)
| 0 | 0 | 0 | 0 |
not entailment
|
(j&b)
|
((j>(~((((a&h)&g)>(u&(j>g))))|(g|a)))>b)
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(y)&g)))
|
(y>(~((u&z))>z))
| 1 | 1 | 0 | 0 |
entailment
|
(j&b)
|
(y>(~((u&z))>z))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(y)&g)))
|
((j>(~((((a&h)&g)>(u&(j>g))))|(g|a)))>b)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t|b)|~(((t&j)|~(y)))))
|
((((~(b)>u)|a)>h)>(~(y)|b))
| 1 | 1 | 0 | 0 |
entailment
|
(((z|(b&y))|((a>h)&y))&((r>~((z&z)))|h))
|
(((r>(t|h))|y)&(b>b))
| 1 | 1 | 0 | 0 |
entailment
|
~(((t|b)|~(((t&j)|~(y)))))
|
(((r>(t|h))|y)&(b>b))
| 0 | 1 | 0 | 0 |
not entailment
|
(((z|(b&y))|((a>h)&y))&((r>~((z&z)))|h))
|
((((~(b)>u)|a)>h)>(~(y)|b))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(t)&~(((a>z)>((h&~(h))>h))))|g)
|
(((((r&u)|u)>((u>j)|g))|(b|~((y|y))))|r)
| 1 | 0 | 0 | 0 |
entailment
|
~((g|((~(y)&t)|h)))
|
~(~((((b&h)|(t&h))>((~(a)>y)>(h>j)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(t)&~(((a>z)>((h&~(h))>h))))|g)
|
~(~((((b&h)|(t&h))>((~(a)>y)>(h>j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((g|((~(y)&t)|h)))
|
(((((r&u)|u)>((u>j)|g))|(b|~((y|y))))|r)
| 0 | 0 | 0 | 0 |
not entailment
|
~((h>u))
|
((~(t)&(r&g))|h)
| 1 | 0 | 0 | 0 |
entailment
|
((t&~(~((h>z))))&(z&y))
|
(~((t|z))>u)
| 1 | 1 | 0 | 0 |
entailment
|
~((h>u))
|
(~((t|z))>u)
| 0 | 0 | 0 | 0 |
not entailment
|
((t&~(~((h>z))))&(z&y))
|
((~(t)&(r&g))|h)
| 0 | 1 | 0 | 0 |
not entailment
|
~((y|g))
|
~((~((g>(h|u)))&g))
| 1 | 0 | 0 | 0 |
entailment
|
((b|~((j&b)))>((b&z)&((u|y)&(a&j))))
|
~(~(~(~(((j&a)|~((r|r)))))))
| 1 | 1 | 0 | 0 |
entailment
|
~((y|g))
|
~(~(~(~(((j&a)|~((r|r)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((b|~((j&b)))>((b&z)&((u|y)&(a&j))))
|
~((~((g>(h|u)))&g))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(a&h))
|
(z>(h|r))
| 1 | 1 | 0 | 0 |
entailment
|
((((y&h)&(h|g))>(u&y))&((j&(h>a))|j))
|
(~(z)>j)
| 1 | 1 | 0 | 0 |
entailment
|
(b&(a&h))
|
(~(z)>j)
| 0 | 1 | 0 | 0 |
not entailment
|
((((y&h)&(h|g))>(u&y))&((j&(h>a))|j))
|
(z>(h|r))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((~(h)|y)&((b&((z|h)&(a|j)))&h))))
|
(y&(h|~((u>(z|u)))))
| 1 | 1 | 0 | 0 |
entailment
|
(z&(a>r))
|
(((h|z)&z)|(b>~((u|z))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((~(h)|y)&((b&((z|h)&(a|j)))&h))))
|
(((h|z)&z)|(b>~((u|z))))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&(a>r))
|
(y&(h|~((u>(z|u)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((a>y))>a)>(h&z))
|
(((a&((t>r)&t))|(b>~((~(r)|(h&b)))))>h)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((((j>z)>b)&(b&~(a)))>j))))
|
(~(~((~((y|b))>(j|a))))|j)
| 1 | 1 | 0 | 0 |
entailment
|
((~((a>y))>a)>(h&z))
|
(~(~((~((y|b))>(j|a))))|j)
| 0 | 0 | 0 | 0 |
not entailment
|
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