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 |
---|---|---|---|---|---|---|
~(((m&((z|r)>~(((x>j)>z))))|~((m|m))))
|
((~(u)&~(n))|(q>m))
| 1 | 1 | 0 | 0 |
entailment
|
(r&((y|(m|m))>y))
|
(~(~((r>z)))>r)
| 1 | 1 | 0 | 0 |
entailment
|
~(((m&((z|r)>~(((x>j)>z))))|~((m|m))))
|
(~(~((r>z)))>r)
| 0 | 1 | 1 | 0 |
not entailment
|
(r&((y|(m|m))>y))
|
((~(u)&~(n))|(q>m))
| 0 | 0 | 0 | 0 |
not entailment
|
~(n)
|
((m&(u|((z|r)|x)))|~(((n&q)&(n&y))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((r&n)))&(q&(u>z)))
|
(m|n)
| 1 | 1 | 0 | 0 |
entailment
|
~(n)
|
(m|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((r&n)))&(q&(u>z)))
|
((m&(u|((z|r)|x)))|~(((n&q)&(n&y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((z>(q>~(z)))|y)|(q&x)))&j)
|
(((r&(m|(n>n)))&j)|~(~((j|(j|x)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((m&~((m&j)))>(~(y)|z))|(q>z)))
|
(((m&y)&(m>y))|(r&(u>y)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((((z>(q>~(z)))|y)|(q&x)))&j)
|
(((m&y)&(m>y))|(r&(u>y)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((m&~((m&j)))>(~(y)|z))|(q>z)))
|
(((r&(m|(n>n)))&j)|~(~((j|(j|x)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((n&((x&(r>n))|x))&z)
|
((((~(((q&q)|m))>z)|~(z))&m)>((n|m)>n))
| 1 | 0 | 0 | 0 |
entailment
|
((((n&y)>x)&(r&(q>~(j))))&(y|(y|y)))
|
(y|~(((~(u)|n)>(n&z))))
| 1 | 1 | 0 | 0 |
entailment
|
((n&((x&(r>n))|x))&z)
|
(y|~(((~(u)|n)>(n&z))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((n&y)>x)&(r&(q>~(j))))&(y|(y|y)))
|
((((~(((q&q)|m))>z)|~(z))&m)>((n|m)>n))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((j>m)|(n|x))|((j>u)|~((j|z)))))
|
~((~(((x&q)>(q|x)))|(j&(n&x))))
| 1 | 1 | 0 | 0 |
entailment
|
(((u|m)>r)&m)
|
((~((z>r))&m)|(r>m))
| 1 | 0 | 0 | 0 |
entailment
|
~((((j>m)|(n|x))|((j>u)|~((j|z)))))
|
((~((z>r))&m)|(r>m))
| 0 | 1 | 0 | 0 |
not entailment
|
(((u|m)>r)&m)
|
~((~(((x&q)>(q|x)))|(j&(n&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&((x|~((n|n)))&((m&q)>u)))
|
(~(((u|~((n>z)))&(j|(q&x))))|(q|x))
| 1 | 0 | 0 | 0 |
entailment
|
(j&~(((r&x)|((m&r)|n))))
|
(~(r)>j)
| 1 | 1 | 1 | 0 |
entailment
|
(x&((x|~((n|n)))&((m&q)>u)))
|
(~(r)>j)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&~(((r&x)|((m&r)|n))))
|
(~(((u|~((n>z)))&(j|(q&x))))|(q|x))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&(n&~(((~(m)&q)>x))))
|
(q|((r|(~(~(x))&(j>j)))>(r&n)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((u>n))|((z&y)>m)))
|
((~(z)>((n&z)&z))|y)
| 1 | 1 | 1 | 1 |
entailment
|
(r&(n&~(((~(m)&q)>x))))
|
((~(z)>((n&z)&z))|y)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((u>n))|((z&y)>m)))
|
(q|((r|(~(~(x))&(j>j)))>(r&n)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((~(~((z>n)))>m)|q))&((x>u)|(z>r)))
|
(n>(m>r))
| 1 | 1 | 1 | 0 |
entailment
|
(~(y)&((m|(m|j))|(~(~(z))&q)))
|
(j|(m|z))
| 1 | 1 | 1 | 1 |
entailment
|
(~(((~(~((z>n)))>m)|q))&((x>u)|(z>r)))
|
(j|(m|z))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(y)&((m|(m|j))|(~(~(z))&q)))
|
(n>(m>r))
| 0 | 1 | 0 | 0 |
not entailment
|
(y|(z&(j&j)))
|
(((y|z)>(y|x))|(((q&r)>m)|j))
| 1 | 0 | 0 | 0 |
entailment
|
(z&r)
|
(y>(z&y))
| 1 | 0 | 0 | 0 |
entailment
|
(y|(z&(j&j)))
|
(y>(z&y))
| 0 | 1 | 1 | 0 |
not entailment
|
(z&r)
|
(((y|z)>(y|x))|(((q&r)>m)|j))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((q&n)>z))&(~((~(m)&z))>(m&r)))
|
(~(~((m|(z|r))))|(q&j))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((u|~((z>(y>((n|y)|z))))))|q))
|
(((j&q)|u)|((x|u)&(z&(y&((x|r)|j)))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((q&n)>z))&(~((~(m)&z))>(m&r)))
|
(((j&q)|u)|((x|u)&(z&(y&((x|r)|j)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((u|~((z>(y>((n|y)|z))))))|q))
|
(~(~((m|(z|r))))|(q&j))
| 0 | 1 | 0 | 0 |
not entailment
|
((z&((u&x)&n))&m)
|
~((~((r>z))&(x&m)))
| 1 | 0 | 0 | 0 |
entailment
|
((x&r)&~((x&y)))
|
(~(r)>~(((m>n)|(j|z))))
| 1 | 0 | 0 | 0 |
entailment
|
((z&((u&x)&n))&m)
|
(~(r)>~(((m>n)|(j|z))))
| 0 | 0 | 0 | 0 |
not entailment
|
((x&r)&~((x&y)))
|
~((~((r>z))&(x&m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(z|((d>d)&d))
|
((~(d)|(d>((z>z)>d)))>(z|((d>d)&d)))
| 1 | 0 | 1 | 0 |
entailment
|
((~(d)>z)>((((z>d)>d)>d)&(z&(d|(z>d)))))
|
(d|~(z))
| 1 | 1 | 1 | 1 |
entailment
|
(z|((d>d)&d))
|
(d|~(z))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(d)>z)>((((z>d)>d)>d)&(z&(d|(z>d)))))
|
((~(d)|(d>((z>z)>d)))>(z|((d>d)&d)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((((z&z)>((d|z)&~(~(z))))&(d|z)))
|
~(~((z|(d>(d&~(d))))))
| 1 | 1 | 1 | 0 |
entailment
|
((~(~((z&z)))|((z|d)&((d|d)&(d|z))))&d)
|
(((z|d)|(~((z>d))|d))&(z>(d|z)))
| 1 | 1 | 1 | 0 |
entailment
|
~((((z&z)>((d|z)&~(~(z))))&(d|z)))
|
(((z|d)|(~((z>d))|d))&(z>(d|z)))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(~((z&z)))|((z|d)&((d|d)&(d|z))))&d)
|
~(~((z|(d>(d&~(d))))))
| 0 | 1 | 1 | 0 |
not entailment
|
(z&(d&(d&d)))
|
((~(d)&(z|(d&z)))|((d&z)|d))
| 1 | 0 | 1 | 0 |
entailment
|
~((z&((((d|d)&z)|(d&z))>z)))
|
(((z&~((d&(d|d))))>(z>~(z)))&~(z))
| 1 | 0 | 1 | 1 |
entailment
|
(z&(d&(d&d)))
|
(((z&~((d&(d|d))))>(z>~(z)))&~(z))
| 0 | 0 | 1 | 0 |
not entailment
|
~((z&((((d|d)&z)|(d&z))>z)))
|
((~(d)&(z|(d&z)))|((d&z)|d))
| 0 | 1 | 1 | 0 |
not entailment
|
~(z)
|
~(~((~(z)|~(d))))
| 1 | 0 | 0 | 0 |
entailment
|
(z&(d&(z>z)))
|
(z|z)
| 1 | 1 | 1 | 1 |
entailment
|
~(z)
|
(z|z)
| 0 | 1 | 1 | 0 |
not entailment
|
(z&(d&(z>z)))
|
~(~((~(z)|~(d))))
| 0 | 0 | 1 | 0 |
not entailment
|
(d&(~((d>d))>(((d&d)|d)&((z>z)&d))))
|
(~(((z&(d|z))>d))>d)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((d|d)&z))&(z|((~(d)|~(d))&d)))
|
((z|d)>z)
| 1 | 1 | 1 | 1 |
entailment
|
(d&(~((d>d))>(((d&d)|d)&((z>z)&d))))
|
((z|d)>z)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(((d|d)&z))&(z|((~(d)|~(d))&d)))
|
(~(((z&(d|z))>d))>d)
| 0 | 1 | 1 | 1 |
not entailment
|
(d&z)
|
((((d&z)&((d|d)>z))|(z&(z|(z|(d>z)))))&d)
| 1 | 0 | 1 | 0 |
entailment
|
(((z&z)&z)>~((z|(z|z))))
|
((z>~((z&d)))&((z|d)|(d>z)))
| 1 | 0 | 0 | 0 |
entailment
|
(d&z)
|
((z>~((z&d)))&((z|d)|(d>z)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((z&z)&z)>~((z|(z|z))))
|
((((d&z)&((d|d)>z))|(z&(z|(z|(d>z)))))&d)
| 0 | 0 | 0 | 0 |
not entailment
|
(z>~(~(d)))
|
~(~(~(~(((z|z)>d)))))
| 1 | 0 | 1 | 1 |
entailment
|
~(((z&((z>z)&d))|((z&~(d))>d)))
|
(z>~((d&((z>z)|z))))
| 1 | 1 | 1 | 1 |
entailment
|
(z>~(~(d)))
|
(z>~((d&((z>z)|z))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((z&((z>z)&d))|((z&~(d))>d)))
|
~(~(~(~(((z|z)>d)))))
| 0 | 1 | 1 | 0 |
not entailment
|
((v>(t>v))>m)
|
(h>((h>~(q))|((m|t)|(j&~(h)))))
| 1 | 0 | 0 | 0 |
entailment
|
((((q&v)&(v>t))&~((j|v)))|((g|j)&q))
|
((h|t)>(((t&v)|((m>m)&q))|(j|h)))
| 1 | 1 | 0 | 0 |
entailment
|
((v>(t>v))>m)
|
((h|t)>(((t&v)|((m>m)&q))|(j|h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((q&v)&(v>t))&~((j|v)))|((g|j)&q))
|
(h>((h>~(q))|((m|t)|(j&~(h)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((h&m)&(q>~(((h>t)|~(q)))))
|
~(~((((~(j)>(t&v))|q)>((q>m)|(g&j)))))
| 1 | 0 | 0 | 0 |
entailment
|
((j&h)|~((t|(m>(h>m)))))
|
(g|j)
| 1 | 1 | 0 | 0 |
entailment
|
((h&m)&(q>~(((h>t)|~(q)))))
|
(g|j)
| 0 | 1 | 0 | 0 |
not entailment
|
((j&h)|~((t|(m>(h>m)))))
|
~(~((((~(j)>(t&v))|q)>((q>m)|(g&j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((t&j)&(j&(t|q)))&~((~(g)>((h>t)>g))))
|
(((((q&q)>((g&t)|(m&g)))|v)&(q&(j>g)))>h)
| 1 | 1 | 0 | 0 |
entailment
|
((~(((m|g)&q))|(q>j))>q)
|
(q|(g|(t>g)))
| 1 | 1 | 0 | 0 |
entailment
|
(((t&j)&(j&(t|q)))&~((~(g)>((h>t)>g))))
|
(q|(g|(t>g)))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(((m|g)&q))|(q>j))>q)
|
(((((q&q)>((g&t)|(m&g)))|v)&(q&(j>g)))>h)
| 0 | 0 | 0 | 0 |
not entailment
|
(((j&(t&t))>(v|h))>~(q))
|
((~((q>j))&h)>v)
| 1 | 1 | 1 | 0 |
entailment
|
~((j|~(~((((t&h)&~((~(t)>v)))|g)))))
|
~(~((j>m)))
| 1 | 1 | 0 | 0 |
entailment
|
(((j&(t&t))>(v|h))>~(q))
|
~(~((j>m)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((j|~(~((((t&h)&~((~(t)>v)))|g)))))
|
((~((q>j))&h)>v)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((g&(~(g)|m))>~(t)))&(q>~((h|t))))
|
(((q&j)>m)>g)
| 1 | 1 | 0 | 0 |
entailment
|
~(((h|q)|j))
|
~(((~((v&g))>h)&j))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((g&(~(g)|m))>~(t)))&(q>~((h|t))))
|
~(((~((v&g))>h)&j))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((h|q)|j))
|
(((q&j)>m)>g)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&((m|(~(((h|g)>t))|(v&q)))&g))
|
(h>j)
| 1 | 1 | 1 | 0 |
entailment
|
(h&(((t>q)|t)>~((q|~(v)))))
|
((q>~(~((m&(q|v)))))>h)
| 1 | 1 | 0 | 0 |
entailment
|
(j&((m|(~(((h|g)>t))|(v&q)))&g))
|
((q>~(~((m&(q|v)))))>h)
| 0 | 1 | 1 | 0 |
not entailment
|
(h&(((t>q)|t)>~((q|~(v)))))
|
(h>j)
| 0 | 1 | 0 | 0 |
not entailment
|
~((v|(j>(~(m)&((m>j)>(j|m))))))
|
~(v)
| 1 | 1 | 1 | 1 |
entailment
|
(((j>v)>((q>t)&((j>m)>g)))&(t>~(h)))
|
(~(~(m))>(m&~(((~((v&j))&t)&h))))
| 1 | 1 | 1 | 0 |
entailment
|
~((v|(j>(~(m)&((m>j)>(j|m))))))
|
(~(~(m))>(m&~(((~((v&j))&t)&h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((j>v)>((q>t)&((j>m)>g)))&(t>~(h)))
|
~(v)
| 0 | 1 | 1 | 1 |
not entailment
|
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