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 |
|---|---|---|---|---|---|---|
(((~(k)>~(k))>(i&c))&r) | ((~((r|(z|z)))|h)>c) | 1 | 1 | 0 | 0 | entailment |
((i|(((h|m)&(g>(h>z)))>(v&c)))&((b&m)&i)) | ((~((r|(z|z)))|h)>c) | 0 | 1 | 0 | 0 | not entailment |
(((~(k)>~(k))>(i&c))&r) | (((v|(b&i))&m)|(v|v)) | 0 | 1 | 0 | 0 | not entailment |
(i&((z>g)>k)) | (((r|(c>m))&~(~(~((c&h)))))|~(~(i))) | 1 | 0 | 0 | 0 | entailment |
(((m>h)&(v&b))&((h|v)|v)) | (v|(~(~(~((m&(r|((k|c)&z))))))|b)) | 1 | 0 | 0 | 0 | entailment |
(i&((z>g)>k)) | (v|(~(~(~((m&(r|((k|c)&z))))))|b)) | 0 | 0 | 0 | 0 | not entailment |
(((m>h)&(v&b))&((h|v)|v)) | (((r|(c>m))&~(~(~((c&h)))))|~(~(i))) | 0 | 0 | 0 | 0 | not entailment |
((m&c)|i) | ((((c|(b&g))&b)>i)|~(~((m|z)))) | 1 | 0 | 0 | 0 | entailment |
~((v>~(((i|c)>m)))) | ((m|g)|(i>(b|r))) | 1 | 1 | 0 | 0 | entailment |
((m&c)|i) | ((m|g)|(i>(b|r))) | 0 | 0 | 0 | 0 | not entailment |
~((v>~(((i|c)>m)))) | ((((c|(b&g))&b)>i)|~(~((m|z)))) | 0 | 0 | 0 | 0 | not entailment |
(k&i) | ((g&m)|(((m|b)>(v&r))>(k|m))) | 1 | 0 | 0 | 0 | entailment |
~((((z|(b>(i>r)))>(g&(i>h)))>~(r))) | (~(~(r))&(g|(h|~(b)))) | 1 | 1 | 1 | 0 | entailment |
(k&i) | (~(~(r))&(g|(h|~(b)))) | 0 | 0 | 0 | 0 | not entailment |
~((((z|(b>(i>r)))>(g&(i>h)))>~(r))) | ((g&m)|(((m|b)>(v&r))>(k|m))) | 0 | 1 | 0 | 0 | not entailment |
((~((i>(i|i)))&((i&i)&i))|(i&i)) | ~(~((i&((i&i)|i)))) | 1 | 1 | 1 | 1 | entailment |
~(((i&~(i))|i)) | (~((i&i))|~((i>i))) | 1 | 0 | 1 | 1 | entailment |
((~((i>(i|i)))&((i&i)&i))|(i&i)) | (~((i&i))|~((i>i))) | 0 | 1 | 1 | 1 | not entailment |
~(((i&~(i))|i)) | ~(~((i&((i&i)|i)))) | 0 | 0 | 1 | 1 | not entailment |
((i>i)>(((~(i)>~(i))>i)&i)) | (((i&i)|i)&((~((i|i))|i)>(i&(i>i)))) | 1 | 0 | 1 | 1 | entailment |
(((i&i)|i)>(~(i)&i)) | ~((i&~(~(i)))) | 1 | 1 | 1 | 1 | entailment |
((i>i)>(((~(i)>~(i))>i)&i)) | ~((i&~(~(i)))) | 0 | 1 | 1 | 1 | not entailment |
(((i&i)|i)>(~(i)&i)) | (((i&i)|i)&((~((i|i))|i)>(i&(i>i)))) | 0 | 0 | 1 | 1 | not entailment |
(((i&~((i>i)))|(i&i))|i) | ((i&i)|i) | 1 | 1 | 1 | 1 | entailment |
~(((i&(i|i))&i)) | ~(i) | 1 | 1 | 1 | 1 | entailment |
(((i&~((i>i)))|(i&i))|i) | ~(i) | 0 | 1 | 1 | 1 | not entailment |
~(((i&(i|i))&i)) | ((i&i)|i) | 0 | 1 | 1 | 0 | not entailment |
(~(((i|i)>~((i>i))))|(i&i)) | (i|((i&i)&(i>~((((i&i)>i)&~(i)))))) | 1 | 0 | 1 | 1 | entailment |
~(i) | ((i&~(((i|i)|(~(i)&((i>i)&i)))))|~(i)) | 1 | 0 | 1 | 0 | entailment |
(~(((i|i)>~((i>i))))|(i&i)) | ((i&~(((i|i)|(~(i)&((i>i)&i)))))|~(i)) | 0 | 0 | 1 | 1 | not entailment |
~(i) | (i|((i&i)&(i>~((((i&i)>i)&~(i)))))) | 0 | 0 | 1 | 0 | not entailment |
((i&(i&(i>i)))&~(~((i|i)))) | (i&~((i>~(((i>i)>i))))) | 1 | 1 | 1 | 1 | entailment |
(((i>i)>i)>~((i|(i>i)))) | ~(~(~(((i&(i|~(i)))&i)))) | 1 | 0 | 1 | 1 | entailment |
((i&(i&(i>i)))&~(~((i|i)))) | ~(~(~(((i&(i|~(i)))&i)))) | 0 | 1 | 1 | 1 | not entailment |
(((i>i)>i)>~((i|(i>i)))) | (i&~((i>~(((i>i)>i))))) | 0 | 1 | 1 | 1 | not entailment |
(~(~(i))&~((~(i)&(((i&i)>i)&(i&i))))) | (~((i|i))>i) | 1 | 1 | 1 | 1 | entailment |
((i|i)>(i>~((i&i)))) | (i>(~((i&i))&i)) | 1 | 1 | 1 | 0 | entailment |
(~(~(i))&~((~(i)&(((i&i)>i)&(i&i))))) | (i>(~((i&i))&i)) | 0 | 1 | 1 | 1 | not entailment |
((i|i)>(i>~((i&i)))) | (~((i|i))>i) | 0 | 1 | 1 | 0 | not entailment |
(i>~(i)) | ~((((i|(i|i))>i)>i)) | 1 | 0 | 1 | 0 | entailment |
(~(~((i|~((i>i)))))|i) | ((((i&i)|i)|(i&(i|i)))&(i|(i>i))) | 1 | 0 | 1 | 1 | entailment |
(i>~(i)) | ((((i&i)|i)|(i&(i|i)))&(i|(i>i))) | 0 | 0 | 1 | 0 | not entailment |
(~(~((i|~((i>i)))))|i) | ~((((i|(i|i))>i)>i)) | 0 | 1 | 1 | 1 | not entailment |
(((~(f)|((m|m)|s))>((i>m)>g))&(~(f)>f)) | ((~(s)|(f&(i>(i|f))))|m) | 1 | 1 | 1 | 0 | entailment |
~(((~((g|i))|f)|g)) | ((i>m)>i) | 1 | 1 | 0 | 0 | entailment |
(((~(f)|((m|m)|s))>((i>m)>g))&(~(f)>f)) | ((i>m)>i) | 0 | 1 | 1 | 1 | not entailment |
~(((~((g|i))|f)|g)) | ((~(s)|(f&(i>(i|f))))|m) | 0 | 0 | 0 | 0 | not entailment |
~((((g>(((s&f)&f)|((m>m)&s)))>f)>(i>m))) | ((~(f)|s)>((m>i)>((m>m)&i))) | 1 | 1 | 1 | 0 | entailment |
~((((s>(~(s)>(g&(f>i))))&~(s))|m)) | (~(g)|(((m|s)|m)|((s&~((i|s)))|s))) | 1 | 1 | 1 | 0 | entailment |
~((((g>(((s&f)&f)|((m>m)&s)))>f)>(i>m))) | (~(g)|(((m|s)|m)|((s&~((i|s)))|s))) | 0 | 1 | 1 | 0 | not entailment |
~((((s>(~(s)>(g&(f>i))))&~(s))|m)) | ((~(f)|s)>((m>i)>((m>m)&i))) | 0 | 1 | 1 | 0 | not entailment |
(g&~(((f&s)|(i|(s>m))))) | (((i>m)>~(m))>(s&(i>~((((g>g)>m)>s))))) | 1 | 0 | 1 | 0 | entailment |
((~(~(((g>m)|(m|m))))&f)&(((g&f)|s)&s)) | ((g|(s|s))&f) | 1 | 1 | 1 | 1 | entailment |
(g&~(((f&s)|(i|(s>m))))) | ((g|(s|s))&f) | 0 | 1 | 1 | 0 | not entailment |
((~(~(((g>m)|(m|m))))&f)&(((g&f)|s)&s)) | (((i>m)>~(m))>(s&(i>~((((g>g)>m)>s))))) | 0 | 1 | 0 | 0 | not entailment |
~(~((s&((m|m)&~(((g>(i&g))&~(i))))))) | (((s|i)|s)|s) | 1 | 1 | 1 | 1 | entailment |
(((m&g)|s)&(g|((s>g)&g))) | (g|f) | 1 | 1 | 0 | 0 | entailment |
~(~((s&((m|m)&~(((g>(i&g))&~(i))))))) | (g|f) | 0 | 1 | 0 | 0 | not entailment |
(((m&g)|s)&(g|((s>g)&g))) | (((s|i)|s)|s) | 0 | 1 | 0 | 0 | not entailment |
((s|(g>g))>(f&i)) | ~(~(~(~(((i|s)&(((g&f)>f)>f)))))) | 1 | 0 | 1 | 0 | entailment |
(g&s) | ((((m&g)>(~(m)>f))>g)|~((f>m))) | 1 | 0 | 0 | 0 | entailment |
((s|(g>g))>(f&i)) | ((((m&g)>(~(m)>f))>g)|~((f>m))) | 0 | 0 | 0 | 0 | not entailment |
(g&s) | ~(~(~(~(((i|s)&(((g&f)>f)>f)))))) | 0 | 0 | 0 | 0 | not entailment |
~(((s>g)&(~((g&f))>(m>((m|m)|i))))) | (((s|g)|f)|((s|i)&((f>(m&s))|~(g)))) | 1 | 1 | 1 | 0 | entailment |
(m&(f>i)) | ((m|i)&(((~((s|s))|m)|(f&i))|f)) | 1 | 0 | 0 | 0 | entailment |
~(((s>g)&(~((g&f))>(m>((m|m)|i))))) | ((m|i)&(((~((s|s))|m)|(f&i))|f)) | 0 | 1 | 1 | 0 | not entailment |
(m&(f>i)) | (((s|g)|f)|((s|i)&((f>(m&s))|~(g)))) | 0 | 0 | 0 | 0 | not entailment |
((m&(m|i))&(~((((g|s)|g)&f))>~((f>f)))) | ((m|g)>((m>~((s|(g&g))))>m)) | 1 | 1 | 1 | 0 | entailment |
((i&f)&((((g&m)>s)>(i|m))&(f>i))) | (g>i) | 1 | 1 | 1 | 0 | entailment |
((m&(m|i))&(~((((g|s)|g)&f))>~((f>f)))) | (g>i) | 0 | 1 | 1 | 0 | not entailment |
((i&f)&((((g&m)>s)>(i|m))&(f>i))) | ((m|g)>((m>~((s|(g&g))))>m)) | 0 | 1 | 1 | 0 | not entailment |
((~(s)|(f&(g>f)))>((m|f)&f)) | ((s|f)|((i&~((s>~(m))))|i)) | 1 | 1 | 0 | 0 | entailment |
((m>m)&(((~((i>m))&g)>g)&m)) | (~((f|(i|m)))>(i|(i|(s&g)))) | 1 | 1 | 0 | 0 | entailment |
((~(s)|(f&(g>f)))>((m|f)&f)) | (~((f|(i|m)))>(i|(i|(s&g)))) | 0 | 1 | 0 | 0 | not entailment |
((m>m)&(((~((i>m))&g)>g)&m)) | ((s|f)|((i&~((s>~(m))))|i)) | 0 | 1 | 0 | 0 | not entailment |
~(((~(~(f))|f)>i)) | ~(~(((i>f)|g))) | 1 | 1 | 0 | 0 | entailment |
~(((i&m)>~((g>g)))) | (((m|(g|i))&i)|m) | 1 | 1 | 1 | 1 | entailment |
~(((~(~(f))|f)>i)) | (((m|(g|i))&i)|m) | 0 | 1 | 0 | 0 | not entailment |
~(((i&m)>~((g>g)))) | ~(~(((i>f)|g))) | 0 | 1 | 0 | 0 | not entailment |
(((g|(m>(s|s)))&s)&(m&((g&g)&s))) | (((s|i)|m)&((g|i)>((m&g)|i))) | 1 | 1 | 0 | 0 | entailment |
(s&f) | (~((~((s&(g|i)))&(g>f)))>f) | 1 | 0 | 0 | 0 | entailment |
(((g|(m>(s|s)))&s)&(m&((g&g)&s))) | (~((~((s&(g|i)))&(g>f)))>f) | 0 | 1 | 0 | 0 | not entailment |
(s&f) | (((s|i)|m)&((g|i)>((m&g)|i))) | 0 | 0 | 0 | 0 | not entailment |
((((f&f)>g)>s)&m) | (~((i>i))|m) | 1 | 1 | 0 | 0 | entailment |
((g|f)&(m|(s&(f&i)))) | (f|g) | 1 | 1 | 1 | 1 | entailment |
((((f&f)>g)>s)&m) | (f|g) | 0 | 1 | 1 | 0 | not entailment |
((g|f)&(m|(s&(f&i)))) | (~((i>i))|m) | 0 | 1 | 1 | 0 | not entailment |
(s|i) | ~(~((i|s))) | 1 | 0 | 1 | 1 | entailment |
~(~((((f>m)>i)&g))) | ((g|f)|m) | 1 | 1 | 1 | 0 | entailment |
(s|i) | ((g|f)|m) | 0 | 0 | 0 | 0 | not entailment |
~(~((((f>m)>i)&g))) | ~(~((i|s))) | 0 | 1 | 0 | 0 | not entailment |
((~((~(g)&m))&i)&(s>(g>f))) | ((g|(i|g))|m) | 1 | 1 | 1 | 0 | entailment |
~((s>((m>(m|f))&(f&g)))) | ((i>s)|(s&m)) | 1 | 1 | 0 | 0 | entailment |
((~((~(g)&m))&i)&(s>(g>f))) | ((i>s)|(s&m)) | 0 | 1 | 1 | 0 | not entailment |
~((s>((m>(m|f))&(f&g)))) | ((g|(i|g))|m) | 0 | 1 | 0 | 0 | not entailment |
(((g>g)|~(((g>~(~((f>i))))&f)))&i) | (~(g)>((g|i)|f)) | 1 | 1 | 1 | 1 | entailment |
~(((m|(f|(m&~(g))))>g)) | (g>~((f&m))) | 1 | 1 | 1 | 0 | entailment |
(((g>g)|~(((g>~(~((f>i))))&f)))&i) | (g>~((f&m))) | 0 | 1 | 0 | 0 | not entailment |
~(((m|(f|(m&~(g))))>g)) | (~(g)>((g|i)|f)) | 0 | 1 | 0 | 0 | not entailment |
(((p>(x&u))&z)&(u&(x&p))) | ((u&z)&x) | 1 | 1 | 1 | 1 | entailment |
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