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&(n&a)) | (a>(a>~((j>~(((z&y)&s)))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(((j>n)|((s&a)|j))))&~(((y&j)|a))) | (((j|u)|(z&s))|a) | 0 | 1 | 0 | 0 | not entailment |
(~((y|(y>n)))|a) | (a|(a&y)) | 1 | 1 | 1 | 1 | entailment |
~((((n|y)&(z&n))|(((y>n)&n)>s))) | (s|(y|n)) | 1 | 1 | 1 | 0 | entailment |
(~((y|(y>n)))|a) | (s|(y|n)) | 0 | 1 | 0 | 0 | not entailment |
~((((n|y)&(z&n))|(((y>n)&n)>s))) | (a|(a&y)) | 0 | 1 | 0 | 0 | not entailment |
~((s>~(j))) | ((r>a)|((j>(j|y))>(((r&a)|n)|((u|j)|y)))) | 1 | 0 | 0 | 0 | entailment |
(~((((s>z)|n)&(j|j)))&(~((a>a))>(r|z))) | ((~(a)|((j&j)|y))>(a>(n>(n&~(j))))) | 1 | 1 | 0 | 0 | entailment |
~((s>~(j))) | ((~(a)|((j&j)|y))>(a>(n>(n&~(j))))) | 0 | 0 | 0 | 0 | not entailment |
(~((((s>z)|n)&(j|j)))&(~((a>a))>(r|z))) | ((r>a)|((j>(j|y))>(((r&a)|n)|((u|j)|y)))) | 0 | 1 | 0 | 0 | not entailment |
((n|(y&y))&a) | ((~((a&r))&j)>((r>r)>a)) | 1 | 0 | 0 | 0 | entailment |
~((~(((n>(z&y))&u))|((s>(r&s))|(r|n)))) | ((r>(u|s))|u) | 1 | 1 | 1 | 1 | entailment |
((n|(y&y))&a) | ((r>(u|s))|u) | 0 | 1 | 0 | 0 | not entailment |
~((~(((n>(z&y))&u))|((s>(r&s))|(r|n)))) | ((~((a&r))&j)>((r>r)>a)) | 0 | 1 | 0 | 0 | not entailment |
(~(((a>(~(r)|j))|((u>~(a))>n)))|a) | ~((~(a)&(z>(~(a)&(y>(a|y)))))) | 1 | 1 | 0 | 0 | entailment |
(((j&j)|(z>j))&~((z&a))) | ((z>j)|(~(~(r))&n)) | 1 | 1 | 0 | 0 | entailment |
(~(((a>(~(r)|j))|((u>~(a))>n)))|a) | ((z>j)|(~(~(r))&n)) | 0 | 1 | 0 | 0 | not entailment |
(((j&j)|(z>j))&~((z&a))) | ~((~(a)&(z>(~(a)&(y>(a|y)))))) | 0 | 0 | 0 | 0 | not entailment |
(g&(g>g)) | (g|g) | 1 | 1 | 1 | 1 | entailment |
(~(g)&~(g)) | (~(~((g|~((g&g)))))&~((g&g))) | 1 | 0 | 1 | 0 | entailment |
(g&(g>g)) | (~(~((g|~((g&g)))))&~((g&g))) | 0 | 0 | 1 | 1 | not entailment |
(~(g)&~(g)) | (g|g) | 0 | 1 | 1 | 0 | not entailment |
(~((g&g))>~(((g|g)>~((g|(g|g)))))) | (~(((g>g)|(((((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)) | 1 | 1 | 1 | 1 | entailment |
(~((g&g))>~(((g|g)>~((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)&g)&g)&g)&(g&g))))|g) | 0 | 0 | 1 | 1 | not entailment |
(((m&m)>~(((m|m)|~(m))))>~((m>m))) | ((m&m)|(m&(m>m))) | 1 | 1 | 1 | 1 | entailment |
(m>~(~(~(((m>(m|m))>m))))) | ~(m) | 1 | 1 | 1 | 1 | entailment |
(((m&m)>~(((m|m)|~(m))))>~((m>m))) | ~(m) | 0 | 1 | 1 | 1 | not entailment |
(m>~(~(~(((m>(m|m))>m))))) | ((m&m)|(m&(m>m))) | 0 | 1 | 1 | 1 | not entailment |
(m&(m&((m|m)|m))) | (~((~(m)&(m&m)))>(m|m)) | 1 | 0 | 1 | 0 | entailment |
(m>~((~(m)|(m>(m|(m>m)))))) | ((m&m)>~(~(~(((m|m)>m))))) | 1 | 1 | 1 | 1 | entailment |
(m&(m&((m|m)|m))) | ((m&m)>~(~(~(((m|m)>m))))) | 0 | 0 | 1 | 0 | not entailment |
(m>~((~(m)|(m>(m|(m>m)))))) | (~((~(m)&(m&m)))>(m|m)) | 0 | 1 | 1 | 1 | not entailment |
(((~((m&(m>(m&m))))>m)&(m&(m&m)))|(m&m)) | (~(m)>((~(m)>m)|~(~((m|m))))) | 1 | 1 | 1 | 1 | entailment |
~((m|(((m&m)>m)&m))) | ~((m|m)) | 1 | 1 | 1 | 1 | entailment |
(((~((m&(m>(m&m))))>m)&(m&(m&m)))|(m&m)) | ~((m|m)) | 0 | 1 | 1 | 1 | not entailment |
~((m|(((m&m)>m)&m))) | (~(m)>((~(m)>m)|~(~((m|m))))) | 0 | 0 | 1 | 1 | not entailment |
(m|m) | ~(~(m)) | 1 | 0 | 1 | 1 | entailment |
((m&(m>(m&m)))>(~((m|m))|~(m))) | ((~((m|(m>m)))>m)&(~(m)&~(m))) | 1 | 1 | 1 | 1 | entailment |
(m|m) | ((~((m|(m>m)))>m)&(~(m)&~(m))) | 0 | 0 | 1 | 0 | not entailment |
((m&(m>(m&m)))>(~((m|m))|~(m))) | ~(~(m)) | 0 | 1 | 1 | 1 | not entailment |
~(((u>l)|(v>l))) | ((((y|l)&v)>u)|y) | 1 | 1 | 0 | 0 | entailment |
~(~(k)) | ~((u&~((~((i&y))|k)))) | 1 | 0 | 0 | 0 | entailment |
~(((u>l)|(v>l))) | ~((u&~((~((i&y))|k)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(k)) | ((((y|l)&v)>u)|y) | 0 | 0 | 0 | 0 | not entailment |
(v&~(~(n))) | (((r|(y|u))&(l|z))>(b|(i|v))) | 1 | 0 | 0 | 0 | entailment |
(v>(~(v)&(r&v))) | ~((~(~(v))&y)) | 1 | 1 | 0 | 0 | entailment |
(v&~(~(n))) | ~((~(~(v))&y)) | 0 | 0 | 0 | 0 | not entailment |
(v>(~(v)&(r&v))) | (((r|(y|u))&(l|z))>(b|(i|v))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((b>b)&(n&k)))) | ((k|v)|((k|r)>~(~((b&b))))) | 1 | 0 | 0 | 0 | entailment |
~((z|l)) | (~((~(y)&z))>~(z)) | 1 | 0 | 0 | 0 | entailment |
~(~(((b>b)&(n&k)))) | (~((~(y)&z))>~(z)) | 0 | 1 | 0 | 0 | not entailment |
~((z|l)) | ((k|v)|((k|r)>~(~((b&b))))) | 0 | 0 | 0 | 0 | not entailment |
(k&(~(~((~(b)>(b>u))))&~((z|y)))) | ((~(y)>u)>(~(((v|(~(z)|v))|n))>(r|l))) | 1 | 0 | 0 | 0 | entailment |
((i|r)>(~((r|v))|z)) | ((l>k)>(~((v>u))>((((l|k)>k)&(r>u))|z))) | 1 | 0 | 0 | 0 | entailment |
(k&(~(~((~(b)>(b>u))))&~((z|y)))) | ((l>k)>(~((v>u))>((((l|k)>k)&(r>u))|z))) | 0 | 0 | 0 | 0 | not entailment |
((i|r)>(~((r|v))|z)) | ((~(y)>u)>(~(((v|(~(z)|v))|n))>(r|l))) | 0 | 0 | 0 | 0 | not entailment |
(((z>(v|l))>u)&l) | ~(~(((n>(y>n))>(l&(((b|u)>(r>k))>l))))) | 1 | 0 | 0 | 0 | entailment |
(n&((y&(~(v)>i))|((i>b)|~((b&b))))) | (~(~((u>~(z))))|n) | 1 | 1 | 0 | 0 | entailment |
(((z>(v|l))>u)&l) | (~(~((u>~(z))))|n) | 0 | 0 | 0 | 0 | not entailment |
(n&((y&(~(v)>i))|((i>b)|~((b&b))))) | ~(~(((n>(y>n))>(l&(((b|u)>(r>k))>l))))) | 0 | 0 | 0 | 0 | not entailment |
(((r>(n&(b&l)))&r)&(k>~((v|l)))) | (~((v|~(u)))>(((l>l)&b)&l)) | 1 | 1 | 0 | 0 | entailment |
((~(n)&~((k&y)))&(z&(l&i))) | (i|u) | 1 | 1 | 0 | 0 | entailment |
(((r>(n&(b&l)))&r)&(k>~((v|l)))) | (i|u) | 0 | 1 | 0 | 0 | not entailment |
((~(n)&~((k&y)))&(z&(l&i))) | (~((v|~(u)))>(((l>l)&b)&l)) | 0 | 1 | 0 | 0 | not entailment |
(k&(k>v)) | (k>~(((u>~(~(b)))&~((v|(b|y)))))) | 1 | 0 | 0 | 0 | entailment |
(~(~(((r|(i>n))&(b>u))))>(i&n)) | (i|b) | 1 | 1 | 1 | 1 | entailment |
(k&(k>v)) | (i|b) | 0 | 1 | 0 | 0 | not entailment |
(~(~(((r|(i>n))&(b>u))))>(i&n)) | (k>~(((u>~(~(b)))&~((v|(b|y)))))) | 0 | 0 | 0 | 0 | not entailment |
(((~(v)|~(~((i&r))))&z)&~((i|u))) | (((~(~(i))&(z|~((l>u))))>v)|~((r&b))) | 1 | 0 | 0 | 0 | entailment |
((b|y)&r) | ((b&(k>(l&k)))>(r|((n>v)|y))) | 1 | 0 | 0 | 0 | entailment |
(((~(v)|~(~((i&r))))&z)&~((i|u))) | ((b&(k>(l&k)))>(r|((n>v)|y))) | 0 | 1 | 0 | 0 | not entailment |
((b|y)&r) | (((~(~(i))&(z|~((l>u))))>v)|~((r&b))) | 0 | 0 | 0 | 0 | not entailment |
~((((l|v)>r)|(b>((y|y)&(z>i))))) | ((~(l)|((n|k)|r))>b) | 1 | 1 | 0 | 0 | entailment |
(((y&(~(v)>n))&((u>r)|((n|y)&r)))&k) | ((y|(~((i>k))>(z|v)))|z) | 1 | 1 | 0 | 0 | entailment |
~((((l|v)>r)|(b>((y|y)&(z>i))))) | ((y|(~((i>k))>(z|v)))|z) | 0 | 1 | 0 | 0 | not entailment |
(((y&(~(v)>n))&((u>r)|((n|y)&r)))&k) | ((~(l)|((n|k)|r))>b) | 0 | 1 | 0 | 0 | not entailment |
~(((r>i)>(((n|(b>i))&(v>(l&i)))>(z|l)))) | (y|(l>y)) | 1 | 1 | 0 | 0 | entailment |
(~(~(~(((v&~(b))>k))))&(l>v)) | (y>(z|v)) | 1 | 1 | 0 | 0 | entailment |
~(((r>i)>(((n|(b>i))&(v>(l&i)))>(z|l)))) | (y>(z|v)) | 0 | 1 | 0 | 0 | not entailment |
(~(~(~(((v&~(b))>k))))&(l>v)) | (y|(l>y)) | 0 | 1 | 0 | 0 | not entailment |
(y&b) | (~(((v|(i|z))|v))>(((~(k)|(b&v))>b)|v)) | 1 | 0 | 0 | 0 | entailment |
((((n&(i&r))&r)|n)&~(b)) | ((b>~(((z&l)|(b|n))))|n) | 1 | 1 | 0 | 0 | entailment |
(y&b) | ((b>~(((z&l)|(b|n))))|n) | 0 | 0 | 0 | 0 | not entailment |
((((n&(i&r))&r)|n)&~(b)) | (~(((v|(i|z))|v))>(((~(k)|(b&v))>b)|v)) | 0 | 0 | 0 | 0 | not entailment |
~(((k&i)>(~(r)&(u|k)))) | (z>(u|(r|y))) | 1 | 1 | 0 | 0 | entailment |
~(((u|z)>(y|~((n&~((b>u))))))) | ~((y&z)) | 1 | 1 | 1 | 0 | entailment |
~(((k&i)>(~(r)&(u|k)))) | ~((y&z)) | 0 | 1 | 0 | 0 | not entailment |
~(((u|z)>(y|~((n&~((b>u))))))) | (z>(u|(r|y))) | 0 | 1 | 0 | 0 | not entailment |
~((l|(v|(~((i>b))|~((b&~(k))))))) | (b|r) | 1 | 1 | 0 | 0 | entailment |
((r>~(k))&((~((y>(v|r)))&(~(y)|k))&u)) | ~(((y&n)&((~(n)>b)&(b&r)))) | 1 | 1 | 0 | 0 | entailment |
~((l|(v|(~((i>b))|~((b&~(k))))))) | ~(((y&n)&((~(n)>b)&(b&r)))) | 0 | 1 | 0 | 0 | not entailment |
((r>~(k))&((~((y>(v|r)))&(~(y)|k))&u)) | (b|r) | 0 | 1 | 0 | 0 | not entailment |
((r&(l>i))&(r>l)) | ((z|l)|(r>b)) | 1 | 1 | 0 | 0 | entailment |
(n&~((u&((i&y)>l)))) | (((y|u)&(((r|(y|i))|(n|n))>b))>((r|n)&y)) | 1 | 0 | 0 | 0 | entailment |
((r&(l>i))&(r>l)) | (((y|u)&(((r|(y|i))|(n|n))>b))>((r|n)&y)) | 0 | 0 | 0 | 0 | not entailment |
(n&~((u&((i&y)>l)))) | ((z|l)|(r>b)) | 0 | 1 | 0 | 0 | not entailment |
(r&v) | ~(~(((k&v)>((y&r)|((~(u)&r)|u))))) | 1 | 0 | 0 | 0 | entailment |
(~(~((n>v)))&(k&(n&z))) | ((v>z)|~(~(l))) | 1 | 1 | 0 | 0 | entailment |
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