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 |
|---|---|---|---|---|---|---|
~((g&~(((g|g)>~((g|g))))))
|
~(g)
| 1 | 1 | 1 | 1 |
entailment
|
(g|g)
|
~(g)
| 0 | 1 | 1 | 0 |
not entailment
|
~((g&~(((g|g)>~((g|g))))))
|
((~((g>g))|g)|g)
| 0 | 1 | 1 | 0 |
not entailment
|
(g&((g>g)&(g&g)))
|
((g|~(~(g)))|~(~(((g|g)&g))))
| 1 | 0 | 1 | 1 |
entailment
|
(((g>g)&~(((g|g)&g)))|~(((g|(g>g))&g)))
|
~(((g>(g|g))&(((g>g)>g)&(g>g))))
| 1 | 1 | 1 | 1 |
entailment
|
(g&((g>g)&(g&g)))
|
~(((g>(g|g))&(((g>g)>g)&(g>g))))
| 0 | 0 | 1 | 1 |
not entailment
|
(((g>g)&~(((g|g)&g)))|~(((g|(g>g))&g)))
|
((g|~(~(g)))|~(~(((g|g)&g))))
| 0 | 1 | 1 | 1 |
not entailment
|
(g|g)
|
((g>g)&((g|g)|g))
| 1 | 0 | 1 | 0 |
entailment
|
~(g)
|
~(g)
| 1 | 1 | 1 | 1 |
entailment
|
(g|g)
|
~(g)
| 0 | 1 | 1 | 0 |
not entailment
|
~(g)
|
((g>g)&((g|g)|g))
| 0 | 0 | 1 | 0 |
not entailment
|
(g&((g>g)&((g|(g&g))>g)))
|
(((g&g)&g)|(g|g))
| 1 | 1 | 1 | 1 |
entailment
|
~(g)
|
~(((((g>g)&g)>(g>(g&g)))&g))
| 1 | 0 | 1 | 0 |
entailment
|
(g&((g>g)&((g|(g&g))>g)))
|
~(((((g>g)&g)>(g>(g&g)))&g))
| 0 | 0 | 1 | 1 |
not entailment
|
~(g)
|
(((g&g)&g)|(g|g))
| 0 | 0 | 1 | 0 |
not entailment
|
((g|g)&(g>g))
|
(g&g)
| 1 | 1 | 1 | 1 |
entailment
|
~((((g&g)&g)|g))
|
~(((g>g)>g))
| 1 | 1 | 1 | 0 |
entailment
|
((g|g)&(g>g))
|
~(((g>g)>g))
| 0 | 1 | 1 | 1 |
not entailment
|
~((((g&g)&g)|g))
|
(g&g)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((g>g)>~((g|(g|g)))))
|
(~(((g|g)>g))|g)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~((g&g))))
|
~(((g&g)&((g|(g&g))&g)))
| 1 | 0 | 1 | 1 |
entailment
|
~(((g>g)>~((g|(g|g)))))
|
~(((g&g)&((g|(g&g))&g)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(~((g&g))))
|
(~(((g|g)>g))|g)
| 0 | 1 | 1 | 0 |
not entailment
|
(g|(~(~(~((g|g))))>~(~(g))))
|
(g|g)
| 1 | 1 | 1 | 1 |
entailment
|
~((g&((g|g)>((((g|g)|g)|(g&(g|g)))|g))))
|
~(g)
| 1 | 1 | 1 | 1 |
entailment
|
(g|(~(~(~((g|g))))>~(~(g))))
|
~(g)
| 0 | 1 | 1 | 0 |
not entailment
|
~((g&((g|g)>((((g|g)|g)|(g&(g|g)))|g))))
|
(g|g)
| 0 | 1 | 1 | 1 |
not entailment
|
(g&g)
|
(((~(g)>g)>(g>(g|g)))>g)
| 1 | 0 | 1 | 0 |
entailment
|
((g&(g&g))>~(((g>(g&g))|((g&g)|g))))
|
(((g|g)>~(g))&(((g>g)|g)>(g|(g>g))))
| 1 | 1 | 1 | 1 |
entailment
|
(g&g)
|
(((g|g)>~(g))&(((g>g)|g)>(g|(g>g))))
| 0 | 0 | 1 | 0 |
not entailment
|
((g&(g&g))>~(((g>(g&g))|((g&g)|g))))
|
(((~(g)>g)>(g>(g|g)))>g)
| 0 | 1 | 1 | 1 |
not entailment
|
(((g>g)>g)|g)
|
((g&g)|~(~((g&(g|(g|~(g)))))))
| 1 | 0 | 1 | 1 |
entailment
|
(((g>g)&g)>~(g))
|
(g>~((((g|g)&g)>g)))
| 1 | 0 | 1 | 1 |
entailment
|
(((g>g)>g)|g)
|
(g>~((((g|g)&g)>g)))
| 0 | 0 | 1 | 1 |
not entailment
|
(((g>g)&g)>~(g))
|
((g&g)|~(~((g&(g|(g|~(g)))))))
| 0 | 0 | 1 | 1 |
not entailment
|
(t|(((j>(y>q))&q)&(y&j)))
|
((~(t)>j)|~(~((~(i)|~((q|g))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((n>q))
|
~((q&((g&q)|(t&g))))
| 1 | 0 | 0 | 0 |
entailment
|
(t|(((j>(y>q))&q)&(y&j)))
|
~((q&((g&q)|(t&g))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((n>q))
|
((~(t)>j)|~(~((~(i)|~((q|g))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((i&i))
|
(((y&i)|i)>(g|n))
| 1 | 0 | 0 | 0 |
entailment
|
(((q>t)>n)&(j|n))
|
((~(q)|i)>(q|n))
| 1 | 1 | 0 | 0 |
entailment
|
~((i&i))
|
((~(q)|i)>(q|n))
| 0 | 0 | 0 | 0 |
not entailment
|
(((q>t)>n)&(j|n))
|
(((y&i)|i)>(g|n))
| 0 | 1 | 0 | 0 |
not entailment
|
((j&(((y&~(q))&n)&i))|~((y>(t>t))))
|
(~((t&y))>((n|i)|~((~(g)&y))))
| 1 | 1 | 0 | 0 |
entailment
|
(((t|y)|(q&y))&(~(j)&(y|q)))
|
~(~(~((j&y))))
| 1 | 1 | 1 | 0 |
entailment
|
((j&(((y&~(q))&n)&i))|~((y>(t>t))))
|
~(~(~((j&y))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((t|y)|(q&y))&(~(j)&(y|q)))
|
(~((t&y))>((n|i)|~((~(g)&y))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((g&(t&n))>((y&((q&g)&(n>(y>y))))|y)))
|
(n|i)
| 1 | 1 | 0 | 0 |
entailment
|
(~(t)&(g&q))
|
(~(((i|n)&~(((n|(j&g))&q))))>((t&g)>y))
| 1 | 0 | 0 | 0 |
entailment
|
~(((g&(t&n))>((y&((q&g)&(n>(y>y))))|y)))
|
(~(((i|n)&~(((n|(j&g))&q))))>((t&g)>y))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(t)&(g&q))
|
(n|i)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(q))
|
(n>q)
| 1 | 1 | 0 | 0 |
entailment
|
(g&(g&((g&y)|g)))
|
((t|y)>g)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(q))
|
((t|y)>g)
| 0 | 1 | 0 | 0 |
not entailment
|
(g&(g&((g&y)|g)))
|
(n>q)
| 0 | 1 | 0 | 0 |
not entailment
|
(((((~(q)>i)&y)|t)&j)&((j|q)>q))
|
(~(((~(t)|(j|y))|y))>((((i>j)&q)|q)|j))
| 1 | 0 | 1 | 0 |
entailment
|
~(((n|i)|(j|j)))
|
~((i&n))
| 1 | 1 | 1 | 1 |
entailment
|
(((((~(q)>i)&y)|t)&j)&((j|q)>q))
|
~((i&n))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((n|i)|(j|j)))
|
(~(((~(t)|(j|y))|y))>((((i>j)&q)|q)|j))
| 0 | 0 | 0 | 0 |
not entailment
|
((((q|~(n))>~(y))|(t|(i|(g|t))))>(g|g))
|
~(~((((j&t)|n)>((j>t)|(g|q)))))
| 1 | 1 | 0 | 0 |
entailment
|
(j&n)
|
(~(j)>(((i&t)>t)&j))
| 1 | 0 | 0 | 0 |
entailment
|
((((q|~(n))>~(y))|(t|(i|(g|t))))>(g|g))
|
(~(j)>(((i&t)>t)&j))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&n)
|
~(~((((j&t)|n)>((j>t)|(g|q)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((y&t)|t)
|
(n>t)
| 1 | 1 | 0 | 0 |
entailment
|
((j&y)&i)
|
(i|(g>i))
| 1 | 1 | 0 | 0 |
entailment
|
((y&t)|t)
|
(i|(g>i))
| 0 | 1 | 0 | 0 |
not entailment
|
((j&y)&i)
|
(n>t)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((j&(y>(j|(t>i)))))&t)
|
(((n|(t>j))|(t&(~((y&i))&n)))>(g>n))
| 1 | 0 | 0 | 0 |
entailment
|
~((t>~(i)))
|
(i|((q|q)&((n&(g|~(g)))|((g|j)|q))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((j&(y>(j|(t>i)))))&t)
|
(i|((q|q)&((n&(g|~(g)))|((g|j)|q))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((t>~(i)))
|
(((n|(t>j))|(t&(~((y&i))&n)))>(g>n))
| 0 | 0 | 0 | 0 |
not entailment
|
((t&n)&g)
|
~(((q|t)>~(t)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(((y&~(~(q)))>(t&q)))>n))&i)
|
(((q>j)|(n|n))>q)
| 1 | 1 | 0 | 0 |
entailment
|
((t&n)&g)
|
(((q>j)|(n|n))>q)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(((y&~(~(q)))>(t&q)))>n))&i)
|
~(((q|t)>~(t)))
| 0 | 1 | 1 | 0 |
not entailment
|
(q&(((y|n)|~((g|g)))|(j&~((q>n)))))
|
(((q&(j|i))|~((q>(n&t))))|(t|y))
| 1 | 1 | 0 | 0 |
entailment
|
((~((g>g))&g)|(~(q)|(n&t)))
|
(q>t)
| 1 | 1 | 1 | 1 |
entailment
|
(q&(((y|n)|~((g|g)))|(j&~((q>n)))))
|
(q>t)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((g>g))&g)|(~(q)|(n&t)))
|
(((q&(j|i))|~((q>(n&t))))|(t|y))
| 0 | 0 | 0 | 0 |
not entailment
|
~((y>n))
|
(((i&n)&t)|(g>y))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(t))
|
~((~(t)&~(((y&y)&i))))
| 1 | 0 | 0 | 0 |
entailment
|
~((y>n))
|
~((~(t)&~(((y&y)&i))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(t))
|
(((i&n)&t)|(g>y))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&(j&~(t)))
|
(g|(((y|n)>q)>(q|(g|j))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(~(~(((q>q)|j)))|(j&(g|n))))
|
((((q&j)|(((g>t)|j)>~(i)))|j)>t)
| 1 | 1 | 0 | 0 |
entailment
|
(n&(j&~(t)))
|
((((q&j)|(((g>t)|j)>~(i)))|j)>t)
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(~(~(((q>q)|j)))|(j&(g|n))))
|
(g|(((y|n)>q)>(q|(g|j))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((t>((j&t)>~(((i>t)>n)))))
|
(g>n)
| 1 | 1 | 0 | 0 |
entailment
|
~(q)
|
((q>y)|((g|n)>i))
| 1 | 0 | 0 | 0 |
entailment
|
~((t>((j&t)>~(((i>t)>n)))))
|
((q>y)|((g|n)>i))
| 0 | 1 | 0 | 0 |
not entailment
|
~(q)
|
(g>n)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&n)
|
(n|((((t|i)&t)>q)|(j|(~(q)&((y|y)&t)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~((n&y))&t)&g)
|
(((n|n)&(t>g))>(g>t))
| 1 | 0 | 1 | 0 |
entailment
|
(j&n)
|
(((n|n)&(t>g))>(g>t))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((n&y))&t)&g)
|
(n|((((t|i)&t)>q)|(j|(~(q)&((y|y)&t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~((n|j))&(q&q))|((t&j)>(g&i)))&i)
|
~(((j&(~(~(~(j)))&t))|~(i)))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(~((q|i)))>(~((((t>y)&t)|t))>j)))
|
(j>t)
| 1 | 1 | 1 | 1 |
entailment
|
(((~((n|j))&(q&q))|((t&j)>(g&i)))&i)
|
(j>t)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(~((q|i)))>(~((((t>y)&t)|t))>j)))
|
~(((j&(~(~(~(j)))&t))|~(i)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((j|((y|~((t&t)))>((y>q)|~(t)))))
|
((g>g)&(~(((q|y)|i))>n))
| 1 | 1 | 0 | 0 |
entailment
|
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