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&((n>(n|a))>~(a))) | ((m&(a>(m&m)))>~(((~(m)>n)&m))) | 0 | 0 | 1 | 0 | not entailment |
((n|(n>(a>m)))>(m&m)) | ~(~((m|a))) | 1 | 1 | 1 | 1 | entailment |
~(((n>a)|~((a>m)))) | (n|~(~(a))) | 1 | 1 | 1 | 0 | entailment |
((n|(n>(a>m)))>(m&m)) | (n|~(~(a))) | 0 | 1 | 1 | 1 | not entailment |
~(((n>a)|~((a>m)))) | ~(~((m|a))) | 0 | 1 | 1 | 0 | not entailment |
(n&(~(~(((m|a)&n)))|(n>m))) | (~((((a>a)>(m>n))>n))>n) | 1 | 1 | 1 | 0 | entailment |
(a&(a|n)) | (a&a) | 1 | 1 | 1 | 1 | entailment |
(n&(~(~(((m|a)&n)))|(n>m))) | (a&a) | 0 | 1 | 1 | 1 | not entailment |
(a&(a|n)) | (~((((a>a)>(m>n))>n))>n) | 0 | 0 | 0 | 0 | not entailment |
(a&m) | (a&a) | 1 | 1 | 1 | 1 | entailment |
(n|(n&(m&n))) | (n|((n|n)&(n&m))) | 1 | 0 | 1 | 1 | entailment |
(a&m) | (n|((n|n)&(n&m))) | 0 | 0 | 0 | 0 | not entailment |
(n|(n&(m&n))) | (a&a) | 0 | 1 | 0 | 0 | not entailment |
((m&~((a&a)))|m) | (~(~(((n&(n&a))>a)))&(n>(m|(m&n)))) | 1 | 0 | 0 | 0 | entailment |
(~(n)>n) | ~(((n|a)>~(n))) | 1 | 0 | 0 | 0 | entailment |
((m&~((a&a)))|m) | ~(((n|a)>~(n))) | 0 | 1 | 0 | 0 | not entailment |
(~(n)>n) | (~(~(((n&(n&a))>a)))&(n>(m|(m&n)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((~(n)|m)&((a&(m&n))&((a&n)>n))))) | (n|a) | 1 | 1 | 1 | 1 | entailment |
~(((a|m)>~(~((((a&m)|m)>n))))) | ((n>~(a))&(a>a)) | 1 | 1 | 1 | 0 | entailment |
~(~(((~(n)|m)&((a&(m&n))&((a&n)>n))))) | ((n>~(a))&(a>a)) | 0 | 1 | 1 | 1 | not entailment |
~(((a|m)>~(~((((a&m)|m)>n))))) | (n|a) | 0 | 1 | 1 | 0 | not entailment |
(n&a) | ((a>~((a&n)))>n) | 1 | 0 | 1 | 1 | entailment |
~((m>((~(n)|a)&a))) | (a>((n>m)&(m>a))) | 1 | 1 | 1 | 0 | entailment |
(n&a) | (a>((n>m)&(m>a))) | 0 | 0 | 0 | 0 | not entailment |
~((m>((~(n)|a)&a))) | ((a>~((a&n)))>n) | 0 | 1 | 1 | 0 | not entailment |
~(~((n&(n>m)))) | (m|n) | 1 | 1 | 1 | 1 | entailment |
~(~(~(~(~(~(~(n))))))) | ~(((a|~(n))&(((m|(a&n))>(m&m))>(n&n)))) | 1 | 0 | 0 | 0 | entailment |
~(~((n&(n>m)))) | ~(((a|~(n))&(((m|(a&n))>(m&m))>(n&n)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(~(~(~(~(n))))))) | (m|n) | 0 | 1 | 0 | 0 | not entailment |
~((~(m)|~((n&(~(m)>((n>m)&m)))))) | (m&((((n>n)&n)&n)|(~((a&~((a>n))))&a))) | 1 | 0 | 0 | 0 | entailment |
~((((a|a)>((~(((n>m)>n))>a)|a))>n)) | ~(((n&a)&((m&m)>(m&((m|m)&m))))) | 1 | 1 | 1 | 0 | entailment |
~((~(m)|~((n&(~(m)>((n>m)&m)))))) | ~(((n&a)&((m&m)>(m&((m|m)&m))))) | 0 | 1 | 0 | 0 | not entailment |
~((((a|a)>((~(((n>m)>n))>a)|a))>n)) | (m&((((n>n)&n)&n)|(~((a&~((a>n))))&a))) | 0 | 0 | 1 | 0 | not entailment |
~(((((a|m)&(n&n))|~((a>~((a>a)))))>n)) | (m>((a&m)|n)) | 1 | 1 | 1 | 0 | entailment |
((m>a)>m) | ~(~((((a&m)&(a|((a&(a>m))|n)))|m))) | 1 | 0 | 0 | 0 | entailment |
~(((((a|m)&(n&n))|~((a>~((a>a)))))>n)) | ~(~((((a&m)&(a|((a&(a>m))|n)))|m))) | 0 | 1 | 1 | 1 | not entailment |
((m>a)>m) | (m>((a&m)|n)) | 0 | 0 | 0 | 0 | not entailment |
(((c&v)|c)&(~((v|u))|(((c&c)&(r|u))&u))) | (i|(c|u)) | 1 | 1 | 0 | 0 | entailment |
(r&v) | ((~(u)>r)|(i>u)) | 1 | 0 | 0 | 0 | entailment |
(((c&v)|c)&(~((v|u))|(((c&c)&(r|u))&u))) | ((~(u)>r)|(i>u)) | 0 | 1 | 0 | 0 | not entailment |
(r&v) | (i|(c|u)) | 0 | 0 | 0 | 0 | not entailment |
((v&u)|(c&v)) | ((r|v)|u) | 1 | 1 | 0 | 0 | entailment |
~((c>i)) | (((r>c)|~(u))|~(r)) | 1 | 0 | 0 | 0 | entailment |
((v&u)|(c&v)) | (((r>c)|~(u))|~(r)) | 0 | 0 | 0 | 0 | not entailment |
~((c>i)) | ((r|v)|u) | 0 | 1 | 0 | 0 | not entailment |
~(i) | (~(i)|(~(v)&((c>i)|~(~(v))))) | 1 | 0 | 0 | 0 | entailment |
(u|(((~(u)&r)&((c>i)&(u|u)))&~(u))) | ((u|r)|r) | 1 | 1 | 1 | 1 | entailment |
~(i) | ((u|r)|r) | 0 | 0 | 0 | 0 | not entailment |
(u|(((~(u)&r)&((c>i)&(u|u)))&~(u))) | (~(i)|(~(v)&((c>i)|~(~(v))))) | 0 | 1 | 0 | 0 | not entailment |
(~((v|(r&i)))&~((i|v))) | (c>((v|i)>(i&(c>v)))) | 1 | 1 | 0 | 0 | entailment |
((~(((u>(c>r))>u))>r)&(u&v)) | (v&v) | 1 | 1 | 1 | 1 | entailment |
(~((v|(r&i)))&~((i|v))) | (v&v) | 0 | 1 | 1 | 0 | not entailment |
((~(((u>(c>r))>u))>r)&(u&v)) | (c>((v|i)>(i&(c>v)))) | 0 | 1 | 0 | 0 | not entailment |
(~((i|~(~((c>(v|v))))))|~((i|(u>i)))) | ~((i&(v|r))) | 1 | 1 | 0 | 0 | entailment |
((r&c)&(v&c)) | (v&(~((((i>c)>r)&~(i)))|c)) | 1 | 0 | 0 | 0 | entailment |
(~((i|~(~((c>(v|v))))))|~((i|(u>i)))) | (v&(~((((i>c)>r)&~(i)))|c)) | 0 | 1 | 0 | 0 | not entailment |
((r&c)&(v&c)) | ~((i&(v|r))) | 0 | 1 | 0 | 0 | not entailment |
~((i|~((~((c>r))>u)))) | (((r>v)&(r|i))>~(~((v&r)))) | 1 | 0 | 0 | 0 | entailment |
(u|v) | ((u|v)|(~((r|i))&~((~((c|v))&v)))) | 1 | 0 | 0 | 0 | entailment |
~((i|~((~((c>r))>u)))) | ((u|v)|(~((r|i))&~((~((c|v))&v)))) | 0 | 0 | 0 | 0 | not entailment |
(u|v) | (((r>v)&(r|i))>~(~((v&r)))) | 0 | 0 | 0 | 0 | not entailment |
(i&~((((i&c)|~(i))&v))) | (i&((i|v)&i)) | 1 | 1 | 1 | 0 | entailment |
~((((i|r)|(u|c))|v)) | ((~((r|r))|u)|c) | 1 | 1 | 1 | 0 | entailment |
(i&~((((i&c)|~(i))&v))) | ((~((r|r))|u)|c) | 0 | 1 | 0 | 0 | not entailment |
~((((i|r)|(u|c))|v)) | (i&((i|v)&i)) | 0 | 1 | 1 | 0 | not entailment |
(((r&~(c))|~(~((v>c))))&i) | ~(~((i|u))) | 1 | 1 | 0 | 0 | entailment |
((r&v)&~(~((c&(v&(v|v)))))) | ((((c&(~(c)>((r>r)&v)))>i)|r)&(i>v)) | 1 | 0 | 0 | 0 | entailment |
(((r&~(c))|~(~((v>c))))&i) | ((((c&(~(c)>((r>r)&v)))>i)|r)&(i>v)) | 0 | 0 | 1 | 0 | not entailment |
((r&v)&~(~((c&(v&(v|v)))))) | ~(~((i|u))) | 0 | 1 | 0 | 0 | not entailment |
~(~(((v>u)&((i&c)|u)))) | (i|u) | 1 | 1 | 1 | 1 | entailment |
~((v|(u&((c&i)>u)))) | ((((u|i)>i)&(r|(v>i)))|(((i>v)|c)&v)) | 1 | 0 | 0 | 0 | entailment |
~(~(((v>u)&((i&c)|u)))) | ((((u|i)>i)&(r|(v>i)))|(((i>v)|c)&v)) | 0 | 0 | 0 | 0 | not entailment |
~((v|(u&((c&i)>u)))) | (i|u) | 0 | 1 | 1 | 0 | not entailment |
(u&v) | ((v|(i&r))>((r&i)|(u|r))) | 1 | 0 | 0 | 0 | entailment |
(i&c) | (i&(~(c)|((v&r)>c))) | 1 | 0 | 0 | 0 | entailment |
(u&v) | (i&(~(c)|((v&r)>c))) | 0 | 0 | 0 | 0 | not entailment |
(i&c) | ((v|(i&r))>((r&i)|(u|r))) | 0 | 0 | 0 | 0 | not entailment |
~(((u|r)|~((c|(i&(c>u)))))) | (r|((v&~((v>(i&i))))>((c>u)>c))) | 1 | 0 | 0 | 0 | entailment |
~((u>(i&u))) | ((i&(c&(~(~(~(r)))>v)))>~((i>(r|v)))) | 1 | 0 | 0 | 0 | entailment |
~(((u|r)|~((c|(i&(c>u)))))) | ((i&(c&(~(~(~(r)))>v)))>~((i>(r|v)))) | 0 | 0 | 0 | 0 | not entailment |
~((u>(i&u))) | (r|((v&~((v>(i&i))))>((c>u)>c))) | 0 | 0 | 0 | 0 | not entailment |
(((~(i)&u)|~(((r|r)&~(u))))&(c&i)) | ((i|v)|u) | 1 | 1 | 0 | 0 | entailment |
~((((u|(r>c))|v)&~((((r&v)|r)>v)))) | ~(~((((v|~(v))&~((r>v)))>~((i&u))))) | 1 | 0 | 0 | 0 | entailment |
(((~(i)&u)|~(((r|r)&~(u))))&(c&i)) | ~(~((((v|~(v))&~((r>v)))>~((i&u))))) | 0 | 0 | 0 | 0 | not entailment |
~((((u|(r>c))|v)&~((((r&v)|r)>v)))) | ((i|v)|u) | 0 | 1 | 0 | 0 | not entailment |
~(~(((~(x)>(z>d))>~(i)))) | ~((i&~(((x&d)>~(~((g|(i>w)))))))) | 1 | 0 | 0 | 0 | entailment |
(((w>(h>d))&q)&h) | (~(q)>((x|z)&~(x))) | 1 | 0 | 0 | 0 | entailment |
~(~(((~(x)>(z>d))>~(i)))) | (~(q)>((x|z)&~(x))) | 0 | 1 | 0 | 0 | not entailment |
(((w>(h>d))&q)&h) | ~((i&~(((x&d)>~(~((g|(i>w)))))))) | 0 | 0 | 0 | 0 | not entailment |
~(((v&((w>(h|x))&h))>~((g|~((d&d)))))) | (~(((x&x)>i))|(~(d)|h)) | 1 | 1 | 0 | 0 | entailment |
~((~(z)|h)) | (q|(z|i)) | 1 | 1 | 0 | 0 | entailment |
~(((v&((w>(h|x))&h))>~((g|~((d&d)))))) | (q|(z|i)) | 0 | 1 | 0 | 0 | not entailment |
~((~(z)|h)) | (~(((x&x)>i))|(~(d)|h)) | 0 | 0 | 0 | 0 | not entailment |
~((((x|h)>d)&d)) | (q|~(((d&(g|w))&(g&h)))) | 1 | 0 | 0 | 0 | entailment |
~(((z&z)>i)) | ((~((w>~((h|~(i)))))&w)|~(w)) | 1 | 0 | 0 | 0 | entailment |
~((((x|h)>d)&d)) | ((~((w>~((h|~(i)))))&w)|~(w)) | 0 | 0 | 0 | 0 | not entailment |
~(((z&z)>i)) | (q|~(((d&(g|w))&(g&h)))) | 0 | 0 | 0 | 0 | not entailment |
(((~(h)|~(v))&((h>w)|i))>h) | ((~(~((x&v)))|h)|((((q>g)|h)>g)>z)) | 1 | 0 | 0 | 0 | entailment |
(q&x) | (x|~((v>w))) | 1 | 0 | 0 | 0 | entailment |
(((~(h)|~(v))&((h>w)|i))>h) | (x|~((v>w))) | 0 | 1 | 0 | 0 | not entailment |
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