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) | (((h&h)|(~(((m>z)>v))|h))|v) | 1 | 0 | 0 | 0 | entailment |
(m&(m&((g&(m>g))&(m>m)))) | (((h&h)|(~(((m>z)>v))|h))|v) | 0 | 0 | 0 | 0 | not entailment |
(m&z) | (~(~((g|h)))|h) | 0 | 0 | 0 | 0 | not entailment |
~((~(m)&(h>(h>g)))) | ((g&((z|g)>((z&m)&g)))|(m|(m|h))) | 1 | 0 | 0 | 0 | entailment |
((v|~(((g>v)>(~(g)>g))))&(~(m)&(v>m))) | (m>(((v|m)>v)>((v&h)|(g&v)))) | 1 | 1 | 0 | 0 | entailment |
~((~(m)&(h>(h>g)))) | (m>(((v|m)>v)>((v&h)|(g&v)))) | 0 | 0 | 0 | 0 | not entailment |
((v|~(((g>v)>(~(g)>g))))&(~(m)&(v>m))) | ((g&((z|g)>((z&m)&g)))|(m|(m|h))) | 0 | 1 | 0 | 0 | not entailment |
(((v&g)&(m>z))&~((m>h))) | ~(((m|(z|g))&((z>h)|(h&m)))) | 1 | 0 | 1 | 0 | entailment |
(((v&g)&(m>z))&~((m>h))) | (h&m) | 0 | 1 | 1 | 0 | not entailment |
(m&h) | ~(((m|(z|g))&((z>h)|(h&m)))) | 0 | 0 | 0 | 0 | not entailment |
((v&h)&~((g|g))) | (v|~(h)) | 1 | 1 | 1 | 0 | entailment |
((((m&g)&(v|m))&(g|h))&z) | (v>g) | 1 | 1 | 1 | 0 | entailment |
((v&h)&~((g|g))) | (v>g) | 0 | 1 | 1 | 0 | not entailment |
((((m&g)&(v|m))&(g|h))&z) | (v|~(h)) | 0 | 1 | 1 | 0 | not entailment |
(~(~(z))&(~(~((z&z)))|(m|(m>v)))) | (z|h) | 1 | 1 | 0 | 0 | entailment |
((~(z)&v)&((z|z)>(v|(g>~(m))))) | (m>((v&m)&v)) | 1 | 1 | 1 | 0 | entailment |
(~(~(z))&(~(~((z&z)))|(m|(m>v)))) | (m>((v&m)&v)) | 0 | 1 | 1 | 1 | not entailment |
((~(z)&v)&((z|z)>(v|(g>~(m))))) | (z|h) | 0 | 1 | 0 | 0 | not entailment |
(m&h) | ((h|(v|z))|g) | 1 | 0 | 0 | 0 | entailment |
~((h|(~(v)&(h&h)))) | (h>(g&g)) | 1 | 1 | 0 | 0 | entailment |
(m&h) | (h>(g&g)) | 0 | 0 | 0 | 0 | not entailment |
~((h|(~(v)&(h&h)))) | ((h|(v|z))|g) | 0 | 1 | 0 | 0 | not entailment |
(h&~((h&(m|(z|((v>v)&m)))))) | ((~((v>m))&z)>(((h>g)>((v>g)>m))&(h|g))) | 1 | 0 | 0 | 0 | entailment |
~((h|g)) | ~(g) | 1 | 1 | 1 | 1 | entailment |
(h&~((h&(m|(z|((v>v)&m)))))) | ~(g) | 0 | 1 | 0 | 0 | not entailment |
~((h|g)) | ((~((v>m))&z)>(((h>g)>((v>g)>m))&(h|g))) | 0 | 0 | 0 | 0 | not entailment |
~(~((z>~((v&(((h&m)&v)|(~(v)|z))))))) | ((h>v)>~(((z&v)&~(m)))) | 1 | 1 | 1 | 0 | entailment |
(((g&g)&v)&(g>(z>v))) | ((v>(h&h))|(~(h)>((m>z)|((g|h)&v)))) | 1 | 0 | 0 | 0 | entailment |
~(~((z>~((v&(((h&m)&v)|(~(v)|z))))))) | ((v>(h&h))|(~(h)>((m>z)|((g|h)&v)))) | 0 | 1 | 0 | 0 | not entailment |
(((g&g)&v)&(g>(z>v))) | ((h>v)>~(((z&v)&~(m)))) | 0 | 0 | 0 | 0 | not entailment |
((h&~(g))&(((h&m)&h)>g)) | ~(m) | 1 | 1 | 1 | 1 | entailment |
~(((((g|v)|h)&v)>~(((h|~(h))>g)))) | ~(~((z|v))) | 1 | 1 | 0 | 0 | entailment |
((h&~(g))&(((h&m)&h)>g)) | ~(~((z|v))) | 0 | 1 | 0 | 0 | not entailment |
~(((((g|v)|h)&v)>~(((h|~(h))>g)))) | ~(m) | 0 | 1 | 0 | 0 | not entailment |
(((v|h)&m)&z) | (g>z) | 1 | 1 | 0 | 0 | entailment |
~((h&h)) | (h>(m>(m>((z&z)&v)))) | 1 | 0 | 0 | 0 | entailment |
(((v|h)&m)&z) | (h>(m>(m>((z&z)&v)))) | 0 | 0 | 1 | 0 | not entailment |
~((h&h)) | (g>z) | 0 | 1 | 0 | 0 | not entailment |
(z&(g>~((g&h)))) | (z|m) | 1 | 1 | 0 | 0 | entailment |
~(((((((h&v)&~(z))&v)|(z>z))>(h&h))|z)) | (h>(~(v)&~((z|m)))) | 1 | 1 | 0 | 0 | entailment |
(z&(g>~((g&h)))) | (h>(~(v)&~((z|m)))) | 0 | 0 | 0 | 0 | not entailment |
~(((((((h&v)&~(z))&v)|(z>z))>(h&h))|z)) | (z|m) | 0 | 1 | 0 | 0 | not entailment |
((((v>(v|z))>(m&(z>m)))&~((z>g)))&~(g)) | ((v>m)>z) | 1 | 1 | 1 | 0 | entailment |
(g&g) | (m>(((z>z)&v)|(h|g))) | 1 | 0 | 0 | 0 | entailment |
((((v>(v|z))>(m&(z>m)))&~((z>g)))&~(g)) | (m>(((z>z)&v)|(h|g))) | 0 | 1 | 0 | 0 | not entailment |
(g&g) | ((v>m)>z) | 0 | 0 | 0 | 0 | not entailment |
(i>~(~(~(((l|(n|((y>d)&l)))|x))))) | (~(d)>((i&n)>(y&d))) | 1 | 1 | 1 | 0 | entailment |
~(((u|~(~(((b|m)>y))))|d)) | ~(~(~(~((d>b))))) | 1 | 1 | 1 | 1 | entailment |
(i>~(~(~(((l|(n|((y>d)&l)))|x))))) | ~(~(~(~((d>b))))) | 0 | 1 | 0 | 0 | not entailment |
~(((u|~(~(((b|m)>y))))|d)) | (~(d)>((i&n)>(y&d))) | 0 | 1 | 0 | 0 | not entailment |
(~((n>u))&~((((x&~(b))>y)|b))) | ~(((h>h)>u)) | 1 | 1 | 0 | 0 | entailment |
(l&y) | ((l&~((y|(~((i>h))&(u>x)))))>(n&b)) | 1 | 0 | 0 | 0 | entailment |
(~((n>u))&~((((x&~(b))>y)|b))) | ((l&~((y|(~((i>h))&(u>x)))))>(n&b)) | 0 | 0 | 0 | 0 | not entailment |
(l&y) | ~(((h>h)>u)) | 0 | 0 | 0 | 0 | not entailment |
(y&i) | (b|(((x>n)|l)|(i|(~(((~(n)>y)&n))>i)))) | 1 | 0 | 0 | 0 | entailment |
(((n&y)|d)&~((i|n))) | ((x&~(~((n|b))))|(x|(i>~((y|y))))) | 1 | 0 | 0 | 0 | entailment |
(y&i) | ((x&~(~((n|b))))|(x|(i>~((y|y))))) | 0 | 0 | 0 | 0 | not entailment |
(((n&y)|d)&~((i|n))) | (b|(((x>n)|l)|(i|(~(((~(n)>y)&n))>i)))) | 0 | 0 | 0 | 0 | not entailment |
((~((x|(b&l)))>m)&(i&~(u))) | (((d>b)&u)>l) | 1 | 1 | 0 | 0 | entailment |
~(~(x)) | ((m&n)>(((x|l)>x)|((i|m)>(u&n)))) | 1 | 0 | 0 | 0 | entailment |
((~((x|(b&l)))>m)&(i&~(u))) | ((m&n)>(((x|l)>x)|((i|m)>(u&n)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(x)) | (((d>b)&u)>l) | 0 | 0 | 0 | 0 | not entailment |
~((l>(x|y))) | ~((x&~(i))) | 1 | 1 | 0 | 0 | entailment |
(((x&l)&l)&u) | (n>(b|((n>h)>u))) | 1 | 0 | 0 | 0 | entailment |
~((l>(x|y))) | (n>(b|((n>h)>u))) | 0 | 0 | 0 | 0 | not entailment |
(((x&l)&l)&u) | ~((x&~(i))) | 0 | 1 | 0 | 0 | not entailment |
((l&(((m>~((i>~(m))))>x)&~(h)))&(h|b)) | (((m>h)>((y|b)&x))>l) | 1 | 1 | 0 | 0 | entailment |
~((n>y)) | (u|(y>~(d))) | 1 | 0 | 0 | 0 | entailment |
((l&(((m>~((i>~(m))))>x)&~(h)))&(h|b)) | (u|(y>~(d))) | 0 | 1 | 0 | 0 | not entailment |
~((n>y)) | (((m>h)>((y|b)&x))>l) | 0 | 0 | 0 | 0 | not entailment |
~((h>(~(((d|u)&x))>((i|(b&l))&x)))) | ((i&(h|i))>~(~((m>h)))) | 1 | 1 | 0 | 0 | entailment |
~((~(~((x&u)))|((n>(y>d))|(d&y)))) | (x|(n|i)) | 1 | 1 | 0 | 0 | entailment |
~((h>(~(((d|u)&x))>((i|(b&l))&x)))) | (x|(n|i)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((x&u)))|((n>(y>d))|(d&y)))) | ((i&(h|i))>~(~((m>h)))) | 0 | 1 | 0 | 0 | not entailment |
(((y&u)>d)&(i&(h&(b>y)))) | (~(l)>(((n>h)>(u&x))|(i|u))) | 1 | 0 | 0 | 0 | entailment |
(n>~((((~(y)>(m>m))|~(y))|(h>u)))) | (~((n>d))>(((y|x)&m)|~(n))) | 1 | 1 | 0 | 0 | entailment |
(((y&u)>d)&(i&(h&(b>y)))) | (~((n>d))>(((y|x)&m)|~(n))) | 0 | 0 | 0 | 0 | not entailment |
(n>~((((~(y)>(m>m))|~(y))|(h>u)))) | (~(l)>(((n>h)>(u&x))|(i|u))) | 0 | 1 | 0 | 0 | not entailment |
~(~((n&(x&(~(l)&i))))) | ~(~(((d|i)&x))) | 1 | 1 | 0 | 0 | entailment |
~((l|(m|b))) | (~(~(((h|d)|~(((x|m)|(l|l))))))>(m>u)) | 1 | 0 | 0 | 0 | entailment |
~(~((n&(x&(~(l)&i))))) | (~(~(((h|d)|~(((x|m)|(l|l))))))>(m>u)) | 0 | 0 | 0 | 0 | not entailment |
~((l|(m|b))) | ~(~(((d|i)&x))) | 0 | 0 | 0 | 0 | not entailment |
(u&(h|h)) | (((l|b)|n)>~(~(((x>h)|(l>d))))) | 1 | 0 | 0 | 0 | entailment |
~((u|(b>y))) | (~(((n|x)&(h|(~(~(h))&d))))|(i|b)) | 1 | 0 | 0 | 0 | entailment |
(u&(h|h)) | (~(((n|x)&(h|(~(~(h))&d))))|(i|b)) | 0 | 0 | 0 | 0 | not entailment |
~((u|(b>y))) | (((l|b)|n)>~(~(((x>h)|(l>d))))) | 0 | 0 | 0 | 0 | not entailment |
~((((x>m)>~((m>y)))>~((~(d)&h)))) | ((m>(h|y))|(~(h)>y)) | 1 | 1 | 1 | 0 | entailment |
(~(((u>(i|b))|n))|~(i)) | (i>n) | 1 | 1 | 1 | 0 | entailment |
~((((x>m)>~((m>y)))>~((~(d)&h)))) | (i>n) | 0 | 1 | 0 | 0 | not entailment |
(~(((u>(i|b))|n))|~(i)) | ((m>(h|y))|(~(h)>y)) | 0 | 1 | 0 | 0 | not entailment |
~((b|~(~((~(y)|(i>u)))))) | (~(((d>b)&~(~((u>m)))))|(u>b)) | 1 | 0 | 0 | 0 | entailment |
~(~((~((h|d))&~(i)))) | (m|(((x>x)&h)>l)) | 1 | 1 | 0 | 0 | entailment |
~((b|~(~((~(y)|(i>u)))))) | (m|(((x>x)&h)>l)) | 0 | 1 | 0 | 0 | not entailment |
~(~((~((h|d))&~(i)))) | (~(((d>b)&~(~((u>m)))))|(u>b)) | 0 | 0 | 0 | 0 | not entailment |
~((((l>u)|m)|(~((h>l))|n))) | ((~(d)&n)>(m>~(((y>l)|l)))) | 1 | 1 | 0 | 0 | entailment |
~(((b|b)>~((((u|m)|~((m|b)))&(y>b))))) | ((l>(n>i))>(b|x)) | 1 | 1 | 0 | 0 | entailment |
~((((l>u)|m)|(~((h>l))|n))) | ((l>(n>i))>(b|x)) | 0 | 1 | 0 | 0 | not entailment |
~(((b|b)>~((((u|m)|~((m|b)))&(y>b))))) | ((~(d)&n)>(m>~(((y>l)|l)))) | 0 | 1 | 0 | 0 | not entailment |
(((d&d)|l)&((((h|i)>(i>(y|i)))|i)&n)) | (~((u|(d&n)))|(i>n)) | 1 | 1 | 0 | 0 | entailment |
((u&~(~(~(y))))&(m&u)) | (((~((b|u))&~(b))|((l|b)|d))>(u|h)) | 1 | 0 | 0 | 0 | entailment |
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