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 |
---|---|---|---|---|---|---|
~((~(~((j>~(r))))|((y&x)>~(j))))
|
(~(q)|((y&(i&i))>(r|j)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(q)|r))
|
(((k&(y>((q|r)>x)))&(k&(q>r)))|(y>q))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((j>~(r))))|((y&x)>~(j))))
|
(((k&(y>((q|r)>x)))&(k&(q>r)))|(y>q))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(q)|r))
|
(~(q)|((y&(i&i))>(r|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(r)|~(l)))
|
((j|(r|(x>q)))|(k&y))
| 1 | 0 | 0 | 0 |
entailment
|
~((q|~(k)))
|
(~((~(x)>x))|((k&(q>r))&~(~((r>x)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(r)|~(l)))
|
(~((~(x)>x))|((k&(q>r))&~(~((r>x)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((q|~(k)))
|
((j|(r|(x>q)))|(k&y))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~((j>i)))>(i|r))&(g&r))
|
((r|q)>(~(r)>i))
| 1 | 1 | 0 | 0 |
entailment
|
((~((q&i))&j)&~((k>r)))
|
((~(q)|~(j))>(l|(j&k)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~((j>i)))>(i|r))&(g&r))
|
((~(q)|~(j))>(l|(j&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((q&i))&j)&~((k>r)))
|
((r|q)>(~(r)>i))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((i>(j|g))|y))&((q&x)>q))
|
((j|j)>g)
| 1 | 1 | 1 | 0 |
entailment
|
((~(((y|y)>((q&l)&x)))&r)&r)
|
~(~(r))
| 1 | 1 | 1 | 1 |
entailment
|
(~(((i>(j|g))|y))&((q&x)>q))
|
~(~(r))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(((y|y)>((q&l)&x)))&r)&r)
|
((j|j)>g)
| 0 | 1 | 0 | 0 |
not entailment
|
((i&((r|x)>(k&j)))&(~(x)>((k&y)&q)))
|
((k|(r>r))&i)
| 1 | 1 | 1 | 0 |
entailment
|
~(((k|g)>(((l>((l&(l&r))|x))|x)|x)))
|
((j&(k&j))>(~((r&x))|q))
| 1 | 1 | 0 | 0 |
entailment
|
((i&((r|x)>(k&j)))&(~(x)>((k&y)&q)))
|
((j&(k&j))>(~((r&x))|q))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((k|g)>(((l>((l&(l&r))|x))|x)|x)))
|
((k|(r>r))&i)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&x)
|
(~((k>(i|l)))>(x|(y|j)))
| 1 | 0 | 0 | 0 |
entailment
|
~(y)
|
~(~((((q&(x&r))&j)>(g|~((x>y))))))
| 1 | 0 | 0 | 0 |
entailment
|
(r&x)
|
~(~((((q&(x&r))&j)>(g|~((x>y))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(y)
|
(~((k>(i|l)))>(x|(y|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&k)|r)
|
((r|(g>r))|q)
| 1 | 0 | 0 | 0 |
entailment
|
(((y>(~(y)>x))|(x&k))>(k&k))
|
~(~((k|i)))
| 1 | 1 | 0 | 0 |
entailment
|
((r&k)|r)
|
~(~((k|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((y>(~(y)>x))|(x&k))>(k&k))
|
((r|(g>r))|q)
| 0 | 1 | 0 | 0 |
not entailment
|
((((i|y)&k)&(r&j))&k)
|
(k|q)
| 1 | 1 | 0 | 0 |
entailment
|
(g&x)
|
((x>~(j))|(r>g))
| 1 | 0 | 0 | 0 |
entailment
|
((((i|y)&k)&(r&j))&k)
|
((x>~(j))|(r>g))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&x)
|
(k|q)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((g>(x|i)))>((((r&y)&j)>x)&r)))
|
(~((x>k))>r)
| 1 | 1 | 0 | 0 |
entailment
|
(~((i>j))|(((q&j)&((y&x)&r))&q))
|
(r|(j>(q|q)))
| 1 | 1 | 1 | 1 |
entailment
|
~((~((g>(x|i)))>((((r&y)&j)>x)&r)))
|
(r|(j>(q|q)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((i>j))|(((q&j)&((y&x)&r))&q))
|
(~((x>k))>r)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(l)>i))
|
(((x&(j|j))>k)|(~(((g&y)&i))|r))
| 1 | 0 | 0 | 0 |
entailment
|
((y>y)>((x&l)&i))
|
(y|x)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(l)>i))
|
(y|x)
| 0 | 1 | 0 | 0 |
not entailment
|
((y>y)>((x&l)&i))
|
(((x&(j|j))>k)|(~(((g&y)&i))|r))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(r)|(k>((l|i)>x))))&(l&l))
|
(((j|y)|g)|(~((x&(l>r)))|r))
| 1 | 1 | 0 | 0 |
entailment
|
((i|q)&(x&(y>q)))
|
(x|((k&(g|i))&(y&k)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(r)|(k>((l|i)>x))))&(l&l))
|
(x|((k&(g|i))&(y&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
((i|q)&(x&(y>q)))
|
(((j|y)|g)|(~((x&(l>r)))|r))
| 0 | 0 | 0 | 0 |
not entailment
|
((j&(x|x))&~((l|~((q|~((l|r)))))))
|
((r|r)|((y|r)|(((j>r)&(q|l))|(l>(k|y)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~((k&i))&(x>(j|x)))>((~(i)>k)&~(k)))
|
((g>((r|q)>i))|(g&(i&l)))
| 1 | 1 | 0 | 0 |
entailment
|
((j&(x|x))&~((l|~((q|~((l|r)))))))
|
((g>((r|q)>i))|(g&(i&l)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((k&i))&(x>(j|x)))>((~(i)>k)&~(k)))
|
((r|r)|((y|r)|(((j>r)&(q|l))|(l>(k|y)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&q)
|
(~((g|g))>(x|x))
| 1 | 0 | 0 | 0 |
entailment
|
~(i)
|
(~((g|g))>(x|x))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&q)
|
(i>j)
| 0 | 1 | 0 | 0 |
not entailment
|
~((q>w))
|
~(w)
| 1 | 1 | 1 | 1 |
entailment
|
((((w>k)&(q|u))|l)>~((q>(k>u))))
|
((q>(q&(u>((w>k)&(q&l)))))|(w&((u>u)>w)))
| 1 | 0 | 1 | 0 |
entailment
|
~((q>w))
|
((q>(q&(u>((w>k)&(q&l)))))|(w&((u>u)>w)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((w>k)&(q|u))|l)>~((q>(k>u))))
|
~(w)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((k|(k|k))>(u|q)))
|
(~((u|k))>~((~(k)>q)))
| 1 | 0 | 1 | 0 |
entailment
|
(((w>((w|u)|((u|w)|w)))&(w>(q|(u&l))))&w)
|
((q|((l&u)|~((l>(l|q)))))|l)
| 1 | 1 | 1 | 0 |
entailment
|
~(((k|(k|k))>(u|q)))
|
((q|((l&u)|~((l>(l|q)))))|l)
| 0 | 0 | 0 | 0 |
not entailment
|
(((w>((w|u)|((u|w)|w)))&(w>(q|(u&l))))&w)
|
(~((u|k))>~((~(k)>q)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((l|(((k|q)>w)&~(w))))
|
((w|u)>(((q>w)|~(l))|(u>~((l>k)))))
| 1 | 0 | 0 | 0 |
entailment
|
((k>u)&k)
|
((k&w)|k)
| 1 | 1 | 0 | 0 |
entailment
|
~((l|(((k|q)>w)&~(w))))
|
((k&w)|k)
| 0 | 1 | 1 | 1 |
not entailment
|
((k>u)&k)
|
((w|u)>(((q>w)|~(l))|(u>~((l>k)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(q)|k))
|
(((l|l)|q)&(k>(w>l)))
| 1 | 0 | 0 | 0 |
entailment
|
(u|~(~(l)))
|
~((~(l)&~(((u|w)>(u|u)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(q)|k))
|
~((~(l)&~(((u|w)>(u|u)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(u|~(~(l)))
|
(((l|l)|q)&(k>(w>l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&k)
|
(~(~((~((q&k))&w)))|((k|l)|q))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((~(((q>k)&(~(q)&w)))&(w|k)))))
|
((((w>u)&(k|(q|~(~(k)))))&q)|(k>(l|w)))
| 1 | 1 | 0 | 0 |
entailment
|
(u&k)
|
((((w>u)&(k|(q|~(~(k)))))&q)|(k>(l|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((~(((q>k)&(~(q)&w)))&(w|k)))))
|
(~(~((~((q&k))&w)))|((k|l)|q))
| 0 | 1 | 0 | 0 |
not entailment
|
((u&l)|~(((k&q)|~(k))))
|
(~(k)>(u|l))
| 1 | 1 | 1 | 1 |
entailment
|
~((k|l))
|
~(~(~((~((k>q))&~(u)))))
| 1 | 0 | 0 | 0 |
entailment
|
((u&l)|~(((k&q)|~(k))))
|
~(~(~((~((k>q))&~(u)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((k|l))
|
(~(k)>(u|l))
| 0 | 0 | 0 | 0 |
not entailment
|
((((k|~(l))|(l>q))>(k&(k>(q&u))))&q)
|
(q&(((u>~(~(q)))>~(((u|u)|k)))>~(q)))
| 1 | 0 | 1 | 0 |
entailment
|
(~((~(q)|q))|~((q|w)))
|
(~(((w&w)|(w|w)))|l)
| 1 | 1 | 0 | 0 |
entailment
|
((((k|~(l))|(l>q))>(k&(k>(q&u))))&q)
|
(~(((w&w)|(w|w)))|l)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(q)|q))|~((q|w)))
|
(q&(((u>~(~(q)))>~(((u|u)|k)))>~(q)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((q>l)>((k&u)>~((q|q)))))
|
(w|q)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((u|l)>(l>k)))&((((u|l)&k)&l)|~(q)))
|
~(q)
| 1 | 1 | 1 | 1 |
entailment
|
~(((q>l)>((k&u)>~((q|q)))))
|
~(q)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(((u|l)>(l>k)))&((((u|l)&k)&l)|~(q)))
|
(w|q)
| 0 | 1 | 0 | 0 |
not entailment
|
((l|w)>(k&(w|w)))
|
(~(u)|((~(((k|~(u))|q))>~(w))&u))
| 1 | 0 | 0 | 0 |
entailment
|
(((l|u)&(w&u))&(k|l))
|
((l|w)&(u|~(l)))
| 1 | 1 | 1 | 0 |
entailment
|
((l|w)>(k&(w|w)))
|
((l|w)&(u|~(l)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((l|u)&(w&u))&(k|l))
|
(~(u)|((~(((k|~(u))|q))>~(w))&u))
| 0 | 0 | 0 | 0 |
not entailment
|
((k&((w&u)|q))&(w>k))
|
((~(((l|k)&l))|(((q>k)|(w&q))|w))|(k|w))
| 1 | 0 | 0 | 0 |
entailment
|
((~(w)&~(~(w)))|~((q>w)))
|
((((q&w)>~(k))|(q&(k&u)))|~(w))
| 1 | 0 | 0 | 0 |
entailment
|
((k&((w&u)|q))&(w>k))
|
((((q&w)>~(k))|(q&(k&u)))|~(w))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(w)&~(~(w)))|~((q>w)))
|
((~(((l|k)&l))|(((q>k)|(w&q))|w))|(k|w))
| 0 | 0 | 0 | 0 |
not entailment
|
(((w>u)|~(((~(q)&q)>(u>q))))&(~(w)&k))
|
(w>~(((q&l)>l)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(~(k)))&q)
|
~(((q&u)&(q>~(~(k)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((w>u)|~(((~(q)&q)>(u>q))))&(~(w)&k))
|
~(((q&u)&(q>~(~(k)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~(~(k)))&q)
|
(w>~(((q&l)>l)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((u|l)|w)&((w&~(q))|l))
|
(q>l)
| 1 | 1 | 1 | 1 |
entailment
|
(((((q&w)|~(q))&u)|~(l))>q)
|
(u>q)
| 1 | 1 | 1 | 1 |
entailment
|
(((u|l)|w)&((w&~(q))|l))
|
(u>q)
| 0 | 1 | 1 | 0 |
not entailment
|
(((((q&w)|~(q))&u)|~(l))>q)
|
(q>l)
| 0 | 1 | 1 | 1 |
not entailment
|
~((u>((~(q)&w)>(((k|l)>u)&k))))
|
(k|((u>~((~(q)>~(~((~(u)&u))))))|w))
| 1 | 0 | 1 | 1 |
entailment
|
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