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 |
|---|---|---|---|---|---|---|
(((c>((t&c)>(t>f)))&t)&c) | (((((k>f)>u)&f)|((u>f)&c))>(c|~(~(c)))) | 1 | 0 | 0 | 0 | entailment |
(((f|(f>k))>((u|k)>~(c)))&~(~(k))) | ~(~((~((u|u))>k))) | 1 | 1 | 1 | 0 | entailment |
(((c>((t&c)>(t>f)))&t)&c) | ~(~((~((u|u))>k))) | 0 | 1 | 0 | 0 | not entailment |
(((f|(f>k))>((u|k)>~(c)))&~(~(k))) | (((((k>f)>u)&f)|((u>f)&c))>(c|~(~(c)))) | 0 | 0 | 1 | 0 | not entailment |
((((t>c)>f)&f)&(~((u&((t>u)&(f>t))))&k)) | (c|f) | 1 | 1 | 1 | 0 | entailment |
~(u) | ~(~(~((u&f)))) | 1 | 0 | 0 | 0 | entailment |
((((t>c)>f)&f)&(~((u&((t>u)&(f>t))))&k)) | ~(~(~((u&f)))) | 0 | 1 | 1 | 0 | not entailment |
~(u) | (c|f) | 0 | 1 | 0 | 0 | not entailment |
((u|u)|(((c>f)&u)|(((f>f)|c)&k))) | ~(~((((k>u)|(~(~(f))&u))>u))) | 1 | 1 | 1 | 0 | entailment |
~((~(~((u|(f&u))))&((t&f)|u))) | ((u|~((~((c&f))|f)))>((~(t)&c)|t)) | 1 | 0 | 0 | 0 | entailment |
((u|u)|(((c>f)&u)|(((f>f)|c)&k))) | ((u|~((~((c&f))|f)))>((~(t)&c)|t)) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((u|(f&u))))&((t&f)|u))) | ~(~((((k>u)|(~(~(f))&u))>u))) | 0 | 1 | 0 | 0 | not entailment |
~(~((k|k))) | ((u>k)|(((u&t)|f)>k)) | 1 | 0 | 0 | 0 | entailment |
~((c>~((((u|k)|u)>~((k&((t&k)&c))))))) | (((t&k)|~((f|u)))>c) | 1 | 1 | 0 | 0 | entailment |
~(~((k|k))) | (((t&k)|~((f|u)))>c) | 0 | 0 | 0 | 0 | not entailment |
~((c>~((((u|k)|u)>~((k&((t&k)&c))))))) | ((u>k)|(((u&t)|f)>k)) | 0 | 1 | 0 | 0 | not entailment |
((((u&c)>u)&((t&k)|k))&(((u>u)>(c&k))|c)) | (c|c) | 1 | 1 | 1 | 1 | entailment |
~((((u&f)>t)|c)) | ((t>((c|c)&(t&f)))&(c>(t|c))) | 1 | 0 | 1 | 0 | entailment |
((((u&c)>u)&((t&k)|k))&(((u>u)>(c&k))|c)) | ((t>((c|c)&(t&f)))&(c>(t|c))) | 0 | 1 | 0 | 0 | not entailment |
~((((u&f)>t)|c)) | (c|c) | 0 | 1 | 1 | 0 | not entailment |
(((u|f)|u)>c) | (~(u)|c) | 1 | 1 | 1 | 1 | entailment |
(k&(f&u)) | ((((c&c)|u)&(u>t))>(t>u)) | 1 | 0 | 0 | 0 | entailment |
(((u|f)|u)>c) | ((((c&c)|u)&(u>t))>(t>u)) | 0 | 0 | 0 | 0 | not entailment |
(k&(f&u)) | (~(u)|c) | 0 | 1 | 0 | 0 | not entailment |
(((f|f)&c)&u) | (t>((k|c)&t)) | 1 | 1 | 0 | 0 | entailment |
~((f|~((k>u)))) | ~(f) | 1 | 1 | 1 | 1 | entailment |
(((f|f)&c)&u) | ~(f) | 0 | 1 | 1 | 0 | not entailment |
~((f|~((k>u)))) | (t>((k|c)&t)) | 0 | 1 | 0 | 0 | not entailment |
(~(((((k>~(t))>f)&c)>(t|k)))&(t|u)) | ~(t) | 1 | 1 | 1 | 1 | entailment |
(((u|(t&f))|c)>t) | ((u>t)|(k&(c>t))) | 1 | 1 | 0 | 0 | entailment |
(~(((((k>~(t))>f)&c)>(t|k)))&(t|u)) | ((u>t)|(k&(c>t))) | 0 | 1 | 1 | 0 | not entailment |
(((u|(t&f))|c)>t) | ~(t) | 0 | 1 | 1 | 1 | not entailment |
(~(~(u))&(c&f)) | ((f|t)>(c&(u&(u|f)))) | 1 | 0 | 0 | 0 | entailment |
~((~(~((c|k)))&((t&u)>(u&u)))) | ~(((c&~((f&((u|f)>k))))&~(t))) | 1 | 1 | 0 | 0 | entailment |
(~(~(u))&(c&f)) | ~(((c&~((f&((u|f)>k))))&~(t))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((c|k)))&((t&u)>(u&u)))) | ((f|t)>(c&(u&(u|f)))) | 0 | 1 | 0 | 0 | not entailment |
(((f&u)&k)&(f&c)) | (u&f) | 1 | 1 | 1 | 1 | entailment |
(k&(t&(k>u))) | (~(((t&(u>t))&u))>((c|~(c))>(u>t))) | 1 | 0 | 0 | 0 | entailment |
(((f&u)&k)&(f&c)) | (~(((t&(u>t))&u))>((c|~(c))>(u>t))) | 0 | 0 | 0 | 0 | not entailment |
(k&(t&(k>u))) | (u&f) | 0 | 1 | 0 | 0 | not entailment |
~((~((c>(t&u)))|~((k&~(f))))) | (k|(c|(t|u))) | 1 | 1 | 1 | 0 | entailment |
((~((u|f))>(u&((f>u)>~(t))))>(t&c)) | (u>(k>c)) | 1 | 1 | 0 | 0 | entailment |
~((~((c>(t&u)))|~((k&~(f))))) | (u>(k>c)) | 0 | 1 | 1 | 0 | not entailment |
((~((u|f))>(u&((f>u)>~(t))))>(t&c)) | (k|(c|(t|u))) | 0 | 1 | 0 | 0 | not entailment |
((f|g)&~((g|~(h)))) | (h|c) | 1 | 1 | 0 | 0 | entailment |
(((c|(h&f))>(o>~((y|l))))&o) | (((~(l)&(b|h))&~((h>o)))>(d|g)) | 1 | 0 | 0 | 0 | entailment |
((f|g)&~((g|~(h)))) | (((~(l)&(b|h))&~((h>o)))>(d|g)) | 0 | 0 | 0 | 0 | not entailment |
(((c|(h&f))>(o>~((y|l))))&o) | (h|c) | 0 | 1 | 1 | 0 | not entailment |
(f>~((((g&(g|c))&g)>(c&h)))) | (((~(g)&~(d))>~((h&f)))|(o>l)) | 1 | 0 | 0 | 0 | entailment |
((~(l)|b)&(b>(g&f))) | (((~((b|~(l)))>h)|~((f>b)))|d) | 1 | 0 | 0 | 0 | entailment |
(f>~((((g&(g|c))&g)>(c&h)))) | (((~((b|~(l)))>h)|~((f>b)))|d) | 0 | 0 | 0 | 0 | not entailment |
((~(l)|b)&(b>(g&f))) | (((~(g)&~(d))>~((h&f)))|(o>l)) | 0 | 0 | 0 | 0 | not entailment |
(y&~(o)) | ((h>b)>(o>~((~(((c>o)>c))|o)))) | 1 | 0 | 0 | 0 | entailment |
(f|f) | ((((d&g)>f)|((y&f)|f))|~((l&((o|c)|l)))) | 1 | 0 | 0 | 0 | entailment |
(y&~(o)) | ((((d&g)>f)|((y&f)|f))|~((l&((o|c)|l)))) | 0 | 0 | 0 | 0 | not entailment |
(f|f) | ((h>b)>(o>~((~(((c>o)>c))|o)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((h|f))>((~(g)|d)>((y|h)|(b&d))))) | ((c&f)>((o|l)&(b&(b>(o&o))))) | 1 | 1 | 0 | 0 | entailment |
~(~((~((((h>(g&(y&d)))|d)|o))&c))) | (((l>h)|((l&y)>(l>y)))>~(d)) | 1 | 1 | 0 | 0 | entailment |
~((~((h|f))>((~(g)|d)>((y|h)|(b&d))))) | (((l>h)|((l&y)>(l>y)))>~(d)) | 0 | 1 | 0 | 0 | not entailment |
~(~((~((((h>(g&(y&d)))|d)|o))&c))) | ((c&f)>((o|l)&(b&(b>(o&o))))) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((c|o)))|c)) | (o>h) | 1 | 1 | 0 | 0 | entailment |
((o>(g|o))&(((d&(l|d))|l)&f)) | (~(~((d|f)))|(((h>y)>l)&(b&c))) | 1 | 0 | 0 | 0 | entailment |
~((~(~((c|o)))|c)) | (~(~((d|f)))|(((h>y)>l)&(b&c))) | 0 | 0 | 0 | 0 | not entailment |
((o>(g|o))&(((d&(l|d))|l)&f)) | (o>h) | 0 | 1 | 0 | 0 | not entailment |
(((~(((o>g)|g))|(b|g))&~(c))&b) | (~(((~(b)&d)&(~(h)&((l|o)&c))))|b) | 1 | 0 | 0 | 0 | entailment |
(~(g)&(((c&((d>h)|o))|c)|(l&~(f)))) | ((g&(h>(h|h)))>~(o)) | 1 | 1 | 1 | 0 | entailment |
(((~(((o>g)|g))|(b|g))&~(c))&b) | ((g&(h>(h|h)))>~(o)) | 0 | 1 | 0 | 0 | not entailment |
(~(g)&(((c&((d>h)|o))|c)|(l&~(f)))) | (~(((~(b)&d)&(~(h)&((l|o)&c))))|b) | 0 | 1 | 0 | 0 | not entailment |
(f&h) | ((((c>d)&y)&~(d))>(y&f)) | 1 | 0 | 0 | 0 | entailment |
((y&b)&(g&h)) | (c|(g|(b|l))) | 1 | 1 | 0 | 0 | entailment |
(f&h) | (c|(g|(b|l))) | 0 | 0 | 0 | 0 | not entailment |
((y&b)&(g&h)) | ((((c>d)&y)&~(d))>(y&f)) | 0 | 0 | 0 | 0 | not entailment |
(c&(c&(d>l))) | (o>c) | 1 | 1 | 0 | 0 | entailment |
~((((b>l)&b)|y)) | ((b|(h|~(y)))|(h&y)) | 1 | 0 | 0 | 0 | entailment |
(c&(c&(d>l))) | ((b|(h|~(y)))|(h&y)) | 0 | 0 | 0 | 0 | not entailment |
~((((b>l)&b)|y)) | (o>c) | 0 | 1 | 0 | 0 | not entailment |
~(((d|y)|(~(b)|d))) | (~(~((d>~((c|f)))))|~((b>(c&h)))) | 1 | 0 | 0 | 0 | entailment |
(l&((y&y)|h)) | (~(~((h>~(h))))|((f&h)|(d|l))) | 1 | 0 | 0 | 0 | entailment |
~(((d|y)|(~(b)|d))) | (~(~((h>~(h))))|((f&h)|(d|l))) | 0 | 0 | 0 | 0 | not entailment |
(l&((y&y)|h)) | (~(~((d>~((c|f)))))|~((b>(c&h)))) | 0 | 0 | 0 | 0 | not entailment |
~((c|f)) | ((h&f)>c) | 1 | 1 | 0 | 0 | entailment |
~(((y|~(~(y)))|~(~(g)))) | (y>g) | 1 | 1 | 1 | 0 | entailment |
~((c|f)) | (y>g) | 0 | 1 | 0 | 0 | not entailment |
~(((y|~(~(y)))|~(~(g)))) | ((h&f)>c) | 0 | 1 | 0 | 0 | not entailment |
(y&~((((h&(h&~(d)))|(f&c))&(h>f)))) | (y|(((h|g)>g)>(o>l))) | 1 | 1 | 0 | 0 | entailment |
~(((d&g)|(g>l))) | (h|g) | 1 | 1 | 0 | 0 | entailment |
(y&~((((h&(h&~(d)))|(f&c))&(h>f)))) | (h|g) | 0 | 1 | 0 | 0 | not entailment |
~(((d&g)|(g>l))) | (y|(((h|g)>g)>(o>l))) | 0 | 0 | 0 | 0 | not entailment |
((g&c)&d) | ((~(((y>(l&h))>h))>f)|g) | 1 | 0 | 0 | 0 | entailment |
~((g|((o|d)|(c&(~(d)&((d|b)|(y>d))))))) | ~(~((((o&b)|f)>~((c&g))))) | 1 | 1 | 0 | 0 | entailment |
((g&c)&d) | ~(~((((o&b)|f)>~((c&g))))) | 0 | 0 | 0 | 0 | not entailment |
~((g|((o|d)|(c&(~(d)&((d|b)|(y>d))))))) | ((~(((y>(l&h))>h))>f)|g) | 0 | 1 | 0 | 0 | not entailment |
(((f>l)>~(~(y)))&g) | (((b>g)&d)|(c|(g&((h&c)>(o&b))))) | 1 | 0 | 0 | 0 | entailment |
~((((~(y)&h)|(d>(c&l)))>~(y))) | (~(d)|c) | 1 | 1 | 1 | 1 | entailment |
(((f>l)>~(~(y)))&g) | (~(d)|c) | 0 | 1 | 0 | 0 | not entailment |
~((((~(y)&h)|(d>(c&l)))>~(y))) | (((b>g)&d)|(c|(g&((h&c)>(o&b))))) | 0 | 1 | 0 | 0 | not entailment |
(c&c) | (((g|l)>(l>c))|(b>o)) | 1 | 0 | 0 | 0 | entailment |
(~((~(((f>c)|d))>y))&g) | (((y|c)&((o|l)&o))>(g&o)) | 1 | 1 | 0 | 0 | entailment |
(c&c) | (((y|c)&((o|l)&o))>(g&o)) | 0 | 0 | 0 | 0 | not entailment |
(~((~(((f>c)|d))>y))&g) | (((g|l)>(l>c))|(b>o)) | 0 | 1 | 0 | 0 | not entailment |
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