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 |
|---|---|---|---|---|---|---|
~(~(~(~(s))))
|
~(((s>s)&(s|s)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((((s&s)&s)&(s>s)))>s)
|
(s&(((s|s)|s)>~((s>~((s&s))))))
| 1 | 0 | 1 | 1 |
entailment
|
~(s)
|
~((((s&s)|(s|s))|((((s>s)&s)&s)&~(s))))
| 1 | 0 | 1 | 0 |
entailment
|
(~((((s&s)&s)&(s>s)))>s)
|
~((((s&s)|(s|s))|((((s>s)&s)&s)&~(s))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(s)
|
(s&(((s|s)|s)>~((s>~((s&s))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(s>~((s>s)))
|
~((~(~(((s|(((s|s)|s)>(s>s)))|s)))&s))
| 1 | 0 | 1 | 1 |
entailment
|
((s>s)>((s&s)|s))
|
((((s&(s|s))>(s|s))&s)|((((s|s)>s)>s)|s))
| 1 | 0 | 1 | 1 |
entailment
|
(s>~((s>s)))
|
((((s&(s|s))>(s|s))&s)|((((s|s)>s)>s)|s))
| 0 | 0 | 1 | 1 |
not entailment
|
((s>s)>((s&s)|s))
|
~((~(~(((s|(((s|s)|s)>(s>s)))|s)))&s))
| 0 | 0 | 1 | 1 |
not entailment
|
~((~((s|~(s)))|(s|((~(~(s))&s)&s))))
|
(s>~(((((s>s)>~(~((s&s))))&s)>(s|s))))
| 1 | 1 | 1 | 1 |
entailment
|
((s|(((s|s)&(s>s))>(~((s>s))|s)))&s)
|
(s&(~((s&(s|s)))>s))
| 1 | 1 | 1 | 1 |
entailment
|
~((~((s|~(s)))|(s|((~(~(s))&s)&s))))
|
(s&(~((s&(s|s)))>s))
| 0 | 1 | 1 | 1 |
not entailment
|
((s|(((s|s)&(s>s))>(~((s>s))|s)))&s)
|
(s>~(((((s>s)>~(~((s&s))))&s)>(s|s))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(((s|s)|s))
|
~((s|s))
| 1 | 1 | 1 | 1 |
entailment
|
(s&(((s>s)&s)>s))
|
(s|~(~(~((s>s)))))
| 1 | 0 | 1 | 1 |
entailment
|
~(((s|s)|s))
|
(s|~(~(~((s>s)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(s&(((s>s)&s)>s))
|
~((s|s))
| 0 | 1 | 1 | 1 |
not entailment
|
(w|(w|w))
|
((w>(w&w))&(w&(w|w)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(~(w)))
|
~(w)
| 1 | 1 | 1 | 1 |
entailment
|
(w|(w|w))
|
~(w)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(w)))
|
((w>(w&w))&(w&(w|w)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((w>w)|((w&(w&w))|~(w)))>w)
|
(((w>w)>(~((w|(w&w)))>w))&((w&w)|w))
| 1 | 0 | 1 | 1 |
entailment
|
~((((w|(w>~(w)))|w)&w))
|
((w>(w>w))&~(((w>(w|w))&w)))
| 1 | 0 | 1 | 1 |
entailment
|
(((w>w)|((w&(w&w))|~(w)))>w)
|
((w>(w>w))&~(((w>(w|w))&w)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((((w|(w>~(w)))|w)&w))
|
(((w>w)>(~((w|(w&w)))>w))&((w&w)|w))
| 0 | 0 | 1 | 1 |
not entailment
|
(w|~((w|~((((w>w)&w)&(w|w))))))
|
(((w&w)>(w|(w&w)))>(w|(w|w)))
| 1 | 1 | 1 | 1 |
entailment
|
(~((~(w)>(~(w)&w)))|~(w))
|
(~(w)|(~(((w|w)>w))|~((w&(w|(w|w))))))
| 1 | 0 | 1 | 1 |
entailment
|
(w|~((w|~((((w>w)&w)&(w|w))))))
|
(~(w)|(~(((w|w)>w))|~((w&(w|(w|w))))))
| 0 | 0 | 1 | 1 |
not entailment
|
(~((~(w)>(~(w)&w)))|~(w))
|
(((w&w)>(w|(w&w)))>(w|(w|w)))
| 0 | 1 | 1 | 1 |
not entailment
|
(w|(w&~(~(((w>w)&~(~(((w>w)|w))))))))
|
((w|w)&~(~((((w&((w&w)|w))|w)>w))))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(w)))
|
(~(w)|~((w>(w>w))))
| 1 | 0 | 1 | 0 |
entailment
|
(w|(w&~(~(((w>w)&~(~(((w>w)|w))))))))
|
(~(w)|~((w>(w>w))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(~(w)))
|
((w|w)&~(~((((w&((w&w)|w))|w)>w))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((~(w)>(w&w))))
|
(w&~((w&(~(w)&(~(w)&w)))))
| 1 | 0 | 1 | 0 |
entailment
|
~((w|~(~(w))))
|
~(w)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((~(w)>(w&w))))
|
~(w)
| 0 | 1 | 1 | 0 |
not entailment
|
~((w|~(~(w))))
|
(w&~((w&(~(w)&(~(w)&w)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(w)&((w|w)>(w>w))))
|
~(~(((w|w)&(w&(w>w)))))
| 1 | 1 | 1 | 1 |
entailment
|
~((w&w))
|
~(((w>w)>w))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(w)&((w|w)>(w>w))))
|
~(((w>w)>w))
| 0 | 1 | 1 | 1 |
not entailment
|
~((w&w))
|
~(~(((w|w)&(w&(w>w)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(w|w)
|
(~(~(((~(w)>(w>w))&(w>w))))>w)
| 1 | 0 | 1 | 0 |
entailment
|
((~((w|w))&~(w))|~((w>(w&w))))
|
~((w|(w&((w|(w>w))&(w&~(~(w)))))))
| 1 | 0 | 1 | 1 |
entailment
|
(w|w)
|
~((w|(w&((w|(w>w))&(w&~(~(w)))))))
| 0 | 0 | 1 | 0 |
not entailment
|
((~((w|w))&~(w))|~((w>(w&w))))
|
(~(~(((~(w)>(w>w))&(w>w))))>w)
| 0 | 1 | 1 | 1 |
not entailment
|
((~(w)>(((w>w)|((w|w)>w))>w))|w)
|
(w&(w>((w&w)>w)))
| 1 | 1 | 1 | 1 |
entailment
|
((w|w)>((~(w)&w)&~(~((w&(w>w))))))
|
((w|(~(w)|w))>~(w))
| 1 | 1 | 1 | 1 |
entailment
|
((~(w)>(((w>w)|((w|w)>w))>w))|w)
|
((w|(~(w)|w))>~(w))
| 0 | 1 | 1 | 1 |
not entailment
|
((w|w)>((~(w)&w)&~(~((w&(w>w))))))
|
(w&(w>((w&w)>w)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((w|w))
|
~((w|(w&w)))
| 1 | 0 | 1 | 1 |
entailment
|
((~(w)|~(~(w)))>(w&(~(~(~(w)))>w)))
|
(~((~(w)>(w>w)))|((w&w)&((w|w)&w)))
| 1 | 1 | 1 | 1 |
entailment
|
~((w|w))
|
(~((~(w)>(w>w)))|((w&w)&((w|w)&w)))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(w)|~(~(w)))>(w&(~(~(~(w)))>w)))
|
~((w|(w&w)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(~((h|(s|i))))>(((s&b)>w)>(s|b))))
|
(s>~(((v&j)&h)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(n)&q)
|
(q|y)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~((h|(s|i))))>(((s&b)>w)>(s|b))))
|
(q|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(n)&q)
|
(s>~(((v&j)&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((n|v))))
|
(h>~(((((w>n)>(v>w))&v)&(j>((h>h)|w)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((n>(s>j)))
|
(i>(y|n))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((n|v))))
|
(i>(y|n))
| 0 | 1 | 0 | 0 |
not entailment
|
~((n>(s>j)))
|
(h>~(((((w>n)>(v>w))&v)&(j>((h>h)|w)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((y>w))&q)
|
(((n&w)|w)>~(((n|q)|s)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(v)&(n&n))>((~(q)&(s&n))&y)))
|
(i>n)
| 1 | 1 | 0 | 0 |
entailment
|
(~((y>w))&q)
|
(i>n)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(v)&(n&n))>((~(q)&(s&n))&y)))
|
(((n&w)|w)>~(((n|q)|s)))
| 0 | 1 | 0 | 0 |
not entailment
|
((q&((n>~((w|(i|y))))&((h&i)>n)))&(i&j))
|
(~(n)&(j|s))
| 1 | 1 | 0 | 0 |
entailment
|
((w&n)&(((q&(w>(j|y)))>(q|i))>(~(q)&b)))
|
((~((v>b))|~(~(w)))&b)
| 1 | 1 | 0 | 0 |
entailment
|
((q&((n>~((w|(i|y))))&((h&i)>n)))&(i&j))
|
((~((v>b))|~(~(w)))&b)
| 0 | 1 | 0 | 0 |
not entailment
|
((w&n)&(((q&(w>(j|y)))>(q|i))>(~(q)&b)))
|
(~(n)&(j|s))
| 0 | 1 | 0 | 0 |
not entailment
|
~((n>v))
|
(((q&((i&(h>q))>(q|w)))&j)|n)
| 1 | 0 | 0 | 0 |
entailment
|
(i&(~((b|v))>b))
|
~(~(((i|((s|(q|q))&w))|i)))
| 1 | 0 | 0 | 0 |
entailment
|
~((n>v))
|
~(~(((i|((s|(q|q))&w))|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&(~((b|v))>b))
|
(((q&((i&(h>q))>(q|w)))&j)|n)
| 0 | 0 | 0 | 0 |
not entailment
|
(q&n)
|
(((n&(n|q))|((b>i)&w))>((b>h)>n))
| 1 | 0 | 0 | 0 |
entailment
|
((n&(q&((b&i)&s)))|(~(s)>s))
|
(~(((n&j)&~(s)))|s)
| 1 | 1 | 0 | 0 |
entailment
|
(q&n)
|
(~(((n&j)&~(s)))|s)
| 0 | 0 | 0 | 0 |
not entailment
|
((n&(q&((b&i)&s)))|(~(s)>s))
|
(((n&(n|q))|((b>i)&w))>((b>h)>n))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&((j>s)&(b>w)))
|
(w|n)
| 1 | 1 | 1 | 1 |
entailment
|
(q&~((j>v)))
|
(((y&w)|q)>(j|s))
| 1 | 0 | 0 | 0 |
entailment
|
(n&((j>s)&(b>w)))
|
(((y&w)|q)>(j|s))
| 0 | 1 | 0 | 0 |
not entailment
|
(q&~((j>v)))
|
(w|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(s&(j|s))
|
(w>(~(s)>n))
| 1 | 0 | 0 | 0 |
entailment
|
~((i>~(~((s|(h>s))))))
|
(h|((w|v)>((~(w)>(~(q)>n))&y)))
| 1 | 0 | 0 | 0 |
entailment
|
(s&(j|s))
|
(h|((w|v)>((~(w)>(~(q)>n))&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((i>~(~((s|(h>s))))))
|
(w>(~(s)>n))
| 0 | 1 | 0 | 0 |
not entailment
|
((q|y)&~((v|~(((w&s)&n)))))
|
(~(s)>((n&y)|~((q&(b&i)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((~(~((n>v)))&h)))
|
(~(((h>s)|h))|((i|y)|(j>h)))
| 1 | 0 | 0 | 0 |
entailment
|
((q|y)&~((v|~(((w&s)&n)))))
|
(~(((h>s)|h))|((i|y)|(j>h)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~(~((n>v)))&h)))
|
(~(s)>((n&y)|~((q&(b&i)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((n>(~((j>(b&b)))>y)))
|
~(~((~((w|w))>(b>(~(~(~(y)))&q)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(h)>(b&n))&h)
|
(((i|(b>w))>((h&i)|(~((w>q))>s)))|h)
| 1 | 0 | 0 | 0 |
entailment
|
~((n>(~((j>(b&b)))>y)))
|
(((i|(b>w))>((h&i)|(~((w>q))>s)))|h)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(h)>(b&n))&h)
|
~(~((~((w|w))>(b>(~(~(~(y)))&q)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((b|(~((q|(n&(b|s))))|~(n))))
|
((b|j)>((h>n)|w))
| 1 | 1 | 0 | 0 |
entailment
|
(~(i)&(y&h))
|
(~(i)&h)
| 1 | 1 | 1 | 1 |
entailment
|
~((b|(~((q|(n&(b|s))))|~(n))))
|
(~(i)&h)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(i)&(y&h))
|
((b|j)>((h>n)|w))
| 0 | 0 | 0 | 0 |
not entailment
|
~(s)
|
((h&(s&j))>y)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(j))
|
((~(~(i))|i)>(j|h))
| 1 | 0 | 0 | 0 |
entailment
|
~(s)
|
((~(~(i))|i)>(j|h))
| 0 | 0 | 0 | 0 |
not entailment
|
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