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 |
|---|---|---|---|---|---|---|
((((v|(s>m))&(s|m))&g)&k) | ((s>v)>((((g&g)&(g>v))&s)>~((s|v)))) | 0 | 0 | 1 | 0 | not entailment |
~((m|s)) | (((m>v)&s)>m) | 1 | 0 | 0 | 0 | entailment |
((v>s)&v) | (m|(((k>v)|(g&s))>v)) | 1 | 0 | 0 | 0 | entailment |
~((m|s)) | (m|(((k>v)|(g&s))>v)) | 0 | 0 | 0 | 0 | not entailment |
((v>s)&v) | (((m>v)&s)>m) | 0 | 0 | 0 | 0 | not entailment |
((v>k)&(~(m)>v)) | (~((m>v))|v) | 1 | 1 | 1 | 1 | entailment |
(s&g) | (m>s) | 1 | 1 | 0 | 0 | entailment |
((v>k)&(~(m)>v)) | (m>s) | 0 | 1 | 0 | 0 | not entailment |
(s&g) | (~((m>v))|v) | 0 | 0 | 0 | 0 | not entailment |
~(((~(((m>g)>s))&(~(g)&(v>s)))>v)) | (~(v)|k) | 1 | 1 | 0 | 0 | entailment |
((((v>~(g))|(s|g))>v)&(m|(s&g))) | (s|(v|(g&m))) | 1 | 1 | 1 | 1 | entailment |
~(((~(((m>g)>s))&(~(g)&(v>s)))>v)) | (s|(v|(g&m))) | 0 | 1 | 1 | 0 | not entailment |
((((v>~(g))|(s|g))>v)&(m|(s&g))) | (~(v)|k) | 0 | 1 | 0 | 0 | not entailment |
(((m|m)|~((~((g>m))&(m>(k>m)))))&(v&s)) | (~(((m>v)>(m&k)))|(v&v)) | 1 | 1 | 1 | 0 | entailment |
(k&s) | (((g&s)|~(s))>k) | 1 | 0 | 0 | 0 | entailment |
(((m|m)|~((~((g>m))&(m>(k>m)))))&(v&s)) | (((g&s)|~(s))>k) | 0 | 1 | 1 | 0 | not entailment |
(k&s) | (~(((m>v)>(m&k)))|(v&v)) | 0 | 0 | 0 | 0 | not entailment |
~(((m|s)>(~(~(~((s|g))))|m))) | ((s>v)>(((v&(k>s))>((v>g)>s))|s)) | 1 | 1 | 0 | 0 | entailment |
~((m>s)) | ((m|(g&k))|~((((v|k)&k)|k))) | 1 | 0 | 0 | 0 | entailment |
~(((m|s)>(~(~(~((s|g))))|m))) | ((m|(g&k))|~((((v|k)&k)|k))) | 0 | 1 | 0 | 0 | not entailment |
~((m>s)) | ((s>v)>(((v&(k>s))>((v>g)>s))|s)) | 0 | 0 | 0 | 0 | not entailment |
~(s) | (v>(~((s>(v&m)))|~(((s&m)|(s&s))))) | 1 | 0 | 0 | 0 | entailment |
(g&~(k)) | (k>~((((k>g)>((s>s)|v))&((g|k)>g)))) | 1 | 0 | 0 | 0 | entailment |
~(s) | (k>~((((k>g)>((s>s)|v))&((g|k)>g)))) | 0 | 0 | 0 | 0 | not entailment |
(g&~(k)) | (v>(~((s>(v&m)))|~(((s&m)|(s&s))))) | 0 | 0 | 0 | 0 | not entailment |
((g&((s>s)|~(s)))&(k&(~(v)&g))) | (g|~((~(k)&v))) | 1 | 1 | 1 | 1 | entailment |
~(((m|((((s>k)&v)>((k|s)&k))|s))|k)) | (m|v) | 1 | 1 | 1 | 0 | entailment |
((g&((s>s)|~(s)))&(k&(~(v)&g))) | (m|v) | 0 | 1 | 0 | 0 | not entailment |
~(((m|((((s>k)&v)>((k|s)&k))|s))|k)) | (g|~((~(k)&v))) | 0 | 1 | 0 | 0 | not entailment |
(((v|r)&(m>u))&m) | (m|~(x)) | 1 | 1 | 0 | 0 | entailment |
(r&x) | ~(~((((~((u&~(n)))|v)&(r&n))>x))) | 1 | 0 | 0 | 0 | entailment |
(((v|r)&(m>u))&m) | ~(~((((~((u&~(n)))|v)&(r&n))>x))) | 0 | 0 | 0 | 0 | not entailment |
(r&x) | (m|~(x)) | 0 | 0 | 0 | 0 | not entailment |
((~(v)&u)&r) | (r|(r|(u|~((v|n))))) | 1 | 0 | 0 | 0 | entailment |
~((u|(n&(~((~(~(u))&x))&(m>n))))) | (u>m) | 1 | 1 | 1 | 1 | entailment |
((~(v)&u)&r) | (u>m) | 0 | 1 | 0 | 0 | not entailment |
~((u|(n&(~((~(~(u))&x))&(m>n))))) | (r|(r|(u|~((v|n))))) | 0 | 1 | 0 | 0 | not entailment |
~(r) | (x>((n&~(x))|~(r))) | 1 | 0 | 0 | 0 | entailment |
((((v|u)>u)>x)&(x&n)) | (n|((((n&n)&n)>x)>(x>u))) | 1 | 0 | 1 | 0 | entailment |
~(r) | (n|((((n&n)&n)>x)>(x>u))) | 0 | 0 | 0 | 0 | not entailment |
((((v|u)>u)>x)&(x&n)) | (x>((n&~(x))|~(r))) | 0 | 1 | 0 | 0 | not entailment |
(~(x)&(~((x|n))&~(v))) | ~((~(~((m>(u|m))))&(n&m))) | 1 | 0 | 0 | 0 | entailment |
((((((v&u)&(n|x))>x)>x)&(u|u))&(v&r)) | (~(v)>(u&u)) | 1 | 1 | 1 | 1 | entailment |
(~(x)&(~((x|n))&~(v))) | (~(v)>(u&u)) | 0 | 1 | 0 | 0 | not entailment |
((((((v&u)&(n|x))>x)>x)&(u|u))&(v&r)) | ~((~(~((m>(u|m))))&(n&m))) | 0 | 1 | 0 | 0 | not entailment |
(n|((v&v)&~(~((v&n))))) | ((x&(x|~(u)))>((n|(m>~(u)))&x)) | 1 | 0 | 0 | 0 | entailment |
(~(v)&((~(x)|((x>n)|r))&(v>x))) | (v>u) | 1 | 1 | 0 | 0 | entailment |
(n|((v&v)&~(~((v&n))))) | (v>u) | 0 | 1 | 0 | 0 | not entailment |
(~(v)&((~(x)|((x>n)|r))&(v>x))) | ((x&(x|~(u)))>((n|(m>~(u)))&x)) | 0 | 1 | 0 | 0 | not entailment |
~(((u&~(((x&u)>m)))>~(x))) | (~(~(((x|m)&(m|u))))|~((v&v))) | 1 | 0 | 0 | 0 | entailment |
~((~(r)|~((x|u)))) | (m|(n>r)) | 1 | 1 | 0 | 0 | entailment |
~(((u&~(((x&u)>m)))>~(x))) | (m|(n>r)) | 0 | 1 | 0 | 0 | not entailment |
~((~(r)|~((x|u)))) | (~(~(((x|m)&(m|u))))|~((v&v))) | 0 | 0 | 0 | 0 | not entailment |
~((~((~(((n|(m|v))|r))|u))|u)) | ~(n) | 1 | 1 | 1 | 1 | entailment |
(((m&(((v&u)|n)|(n&(r|n))))&(~(u)|r))|n) | (~(((u>v)|x))|(((n|n)|v)|~((u|x)))) | 1 | 1 | 0 | 0 | entailment |
~((~((~(((n|(m|v))|r))|u))|u)) | (~(((u>v)|x))|(((n|n)|v)|~((u|x)))) | 0 | 0 | 0 | 0 | not entailment |
(((m&(((v&u)|n)|(n&(r|n))))&(~(u)|r))|n) | ~(n) | 0 | 1 | 1 | 0 | not entailment |
(x&u) | (((x&x)>(r>(v>n)))|(m>u)) | 1 | 0 | 0 | 0 | entailment |
(~((~(v)&m))&m) | (n|(~(u)|v)) | 1 | 1 | 0 | 0 | entailment |
(x&u) | (n|(~(u)|v)) | 0 | 0 | 0 | 0 | not entailment |
(~((~(v)&m))&m) | (((x&x)>(r>(v>n)))|(m>u)) | 0 | 0 | 0 | 0 | not entailment |
~((v>m)) | (~(m)|((n&x)|~(~(((n&m)&x))))) | 1 | 0 | 0 | 0 | entailment |
~((((~((x&u))>u)>v)>(r>~(((x|m)&x))))) | ((v>x)&((n|r)|(u|n))) | 1 | 1 | 0 | 0 | entailment |
~((v>m)) | ((v>x)&((n|r)|(u|n))) | 0 | 0 | 0 | 0 | not entailment |
~((((~((x&u))>u)>v)>(r>~(((x|m)&x))))) | (~(m)|((n&x)|~(~(((n&m)&x))))) | 0 | 1 | 0 | 0 | not entailment |
((m|~(r))&u) | ((m|(x|u))|(((m>(x&(r&r)))&v)|((m|r)>n))) | 1 | 0 | 0 | 0 | entailment |
~(~(((n>n)>~(u)))) | ~(u) | 1 | 1 | 1 | 1 | entailment |
((m|~(r))&u) | ~(u) | 0 | 1 | 1 | 0 | not entailment |
~(~(((n>n)>~(u)))) | ((m|(x|u))|(((m>(x&(r&r)))&v)|((m|r)>n))) | 0 | 0 | 0 | 0 | not entailment |
~((v|m)) | ((m>~(m))|(~(((u&(x|(n|r)))&(x>u)))>u)) | 1 | 0 | 0 | 0 | entailment |
~(((~(~((r&x)))|((x&r)|x))>u)) | (x&(~((u>(u|x)))>m)) | 1 | 1 | 0 | 0 | entailment |
~((v|m)) | (x&(~((u>(u|x)))>m)) | 0 | 0 | 0 | 0 | not entailment |
~(((~(~((r&x)))|((x&r)|x))>u)) | ((m>~(m))|(~(((u&(x|(n|r)))&(x>u)))>u)) | 0 | 0 | 0 | 0 | not entailment |
((n|(u>(u>u)))&((v&r)&(u&r))) | ((v&n)>u) | 1 | 1 | 1 | 0 | entailment |
~(((n&~(v))|r)) | ((((r&m)&x)&r)>(~(x)&(v|((m|(n|v))|x)))) | 1 | 0 | 0 | 0 | entailment |
((n|(u>(u>u)))&((v&r)&(u&r))) | ((((r&m)&x)&r)>(~(x)&(v|((m|(n|v))|x)))) | 0 | 0 | 0 | 0 | not entailment |
~(((n&~(v))|r)) | ((v&n)>u) | 0 | 1 | 0 | 0 | not entailment |
(r&(x>n)) | (~((x>v))>n) | 1 | 0 | 0 | 0 | entailment |
~(((~(x)|u)|(m&m))) | (x|x) | 1 | 1 | 1 | 1 | entailment |
(r&(x>n)) | (x|x) | 0 | 1 | 1 | 0 | not entailment |
~(((~(x)|u)|(m&m))) | (~((x>v))>n) | 0 | 1 | 0 | 0 | not entailment |
(~(x)&(n|m)) | (n>~((x|x))) | 1 | 1 | 1 | 0 | entailment |
((u&x)&(((r>u)|(m|(x&u)))|(m|n))) | ((n>v)>((u|u)|n)) | 1 | 1 | 0 | 0 | entailment |
(~(x)&(n|m)) | ((n>v)>((u|u)|n)) | 0 | 0 | 0 | 0 | not entailment |
((u&x)&(((r>u)|(m|(x&u)))|(m|n))) | (n>~((x|x))) | 0 | 1 | 1 | 0 | not entailment |
((x|(v>x))>u) | ((m>((v>u)>(x>u)))|~(((m>r)>(u&x)))) | 1 | 0 | 0 | 0 | entailment |
(~((r|n))|~(r)) | (((r>x)|u)|n) | 1 | 1 | 0 | 0 | entailment |
((x|(v>x))>u) | (((r>x)|u)|n) | 0 | 1 | 0 | 0 | not entailment |
(~((r|n))|~(r)) | ((m>((v>u)>(x>u)))|~(((m>r)>(u&x)))) | 0 | 0 | 0 | 0 | not entailment |
(((~(z)&(z>z))|z)&z) | ((z&(z|(x|x)))&(((x&z)&z)|((z|z)|(x&x)))) | 1 | 0 | 0 | 0 | entailment |
(((z|z)|(((z>x)|z)|(x|z)))&~(~(x))) | (x&x) | 1 | 1 | 1 | 1 | entailment |
(((~(z)&(z>z))|z)&z) | (x&x) | 0 | 1 | 0 | 0 | not entailment |
(((z|z)|(((z>x)|z)|(x|z)))&~(~(x))) | ((z&(z|(x|x)))&(((x&z)&z)|((z|z)|(x&x)))) | 0 | 0 | 1 | 1 | not entailment |
(((z>z)&z)|~((z>(x&x)))) | (x>z) | 1 | 1 | 1 | 1 | entailment |
((z>x)|~((~(((x>z)&~((x|x))))|(x|z)))) | ~((~(x)&z)) | 1 | 1 | 1 | 1 | entailment |
(((z>z)&z)|~((z>(x&x)))) | ~((~(x)&z)) | 0 | 1 | 1 | 0 | not entailment |
((z>x)|~((~(((x>z)&~((x|x))))|(x|z)))) | (x>z) | 0 | 1 | 1 | 1 | not entailment |
(x&(((z>z)&(x&(z&~(z))))>(z&x))) | ((z&~((~(z)&z)))|x) | 1 | 1 | 1 | 1 | entailment |
~(((z|x)|x)) | (z>~((x&z))) | 1 | 1 | 1 | 1 | entailment |
(x&(((z>z)&(x&(z&~(z))))>(z&x))) | (z>~((x&z))) | 0 | 1 | 1 | 1 | not entailment |
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