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 |
|---|---|---|---|---|---|---|
~((~(x)>f)) | (((u|u)&p)>~(x)) | 1 | 0 | 0 | 0 | entailment |
(((p>(x&u))&z)&(u&(x&p))) | (((u|u)&p)>~(x)) | 0 | 1 | 1 | 0 | not entailment |
~((~(x)>f)) | ((u&z)&x) | 0 | 1 | 0 | 0 | not entailment |
((((g>z)&((f|(p|p))&u))&p)&x) | (((f>(g&g))>x)>~(~(x))) | 1 | 1 | 1 | 0 | entailment |
~(((z|(x|(f>g)))|(((g|x)|p)&x))) | ~(~(((p&z)>~((((f&g)>~((z&z)))>g))))) | 1 | 0 | 1 | 0 | entailment |
((((g>z)&((f|(p|p))&u))&p)&x) | ~(~(((p&z)>~((((f&g)>~((z&z)))>g))))) | 0 | 0 | 1 | 0 | not entailment |
~(((z|(x|(f>g)))|(((g|x)|p)&x))) | (((f>(g&g))>x)>~(~(x))) | 0 | 1 | 1 | 0 | not entailment |
(~((~(((g&f)>p))&(p>g)))>~((g>(u|g)))) | ((~((x|(p&g)))>~((p>f)))>g) | 1 | 1 | 0 | 0 | entailment |
((f>p)&(~(p)&(z&(u|f)))) | (u>((~(~((f>(f|(z|x)))))>x)|z)) | 1 | 0 | 0 | 0 | entailment |
(~((~(((g&f)>p))&(p>g)))>~((g>(u|g)))) | (u>((~(~((f>(f|(z|x)))))>x)|z)) | 0 | 1 | 0 | 0 | not entailment |
((f>p)&(~(p)&(z&(u|f)))) | ((~((x|(p&g)))>~((p>f)))>g) | 0 | 0 | 0 | 0 | not entailment |
(g&~(z)) | (~(x)|~((u&~(g)))) | 1 | 0 | 0 | 0 | entailment |
(((u>p)&(u&u))|(p&((u|~((f|p)))&x))) | ~(~(((((u>(p&u))&x)>(~(x)&f))|(z|u)))) | 1 | 0 | 0 | 0 | entailment |
(g&~(z)) | ~(~(((((u>(p&u))&x)>(~(x)&f))|(z|u)))) | 0 | 0 | 0 | 0 | not entailment |
(((u>p)&(u&u))|(p&((u|~((f|p)))&x))) | (~(x)|~((u&~(g)))) | 0 | 1 | 0 | 0 | not entailment |
(g&(((u>u)&z)&(~(x)|(x>p)))) | ((x&z)>(g&(p|z))) | 1 | 1 | 1 | 0 | entailment |
~((~((g|(z|z)))|(~(~(f))|p))) | (~((~(p)>((z&(p>f))&x)))|(x&x)) | 1 | 1 | 0 | 0 | entailment |
(g&(((u>u)&z)&(~(x)|(x>p)))) | (~((~(p)>((z&(p>f))&x)))|(x&x)) | 0 | 0 | 0 | 0 | not entailment |
~((~((g|(z|z)))|(~(~(f))|p))) | ((x&z)>(g&(p|z))) | 0 | 1 | 0 | 0 | not entailment |
(~(((u|z)|(g&g)))&(x|f)) | ((u>g)|~(x)) | 1 | 1 | 1 | 0 | entailment |
(~(u)>u) | ((((p|u)>(f|u))|p)>(g|(p|u))) | 1 | 0 | 0 | 0 | entailment |
(~(((u|z)|(g&g)))&(x|f)) | ((((p|u)>(f|u))|p)>(g|(p|u))) | 0 | 0 | 0 | 0 | not entailment |
(~(u)>u) | ((u>g)|~(x)) | 0 | 0 | 0 | 0 | not entailment |
(~(~((g>z)))&(((u|u)&u)&(f&(f|z)))) | ((~(z)|u)|(~((z>g))|(u|~((z|z))))) | 1 | 1 | 1 | 0 | entailment |
(x>~(((((z|~(x))>g)|(g&(z>~(p))))|x))) | ((u&z)>(((x&u)>g)|(g&x))) | 1 | 1 | 0 | 0 | entailment |
(~(~((g>z)))&(((u|u)&u)&(f&(f|z)))) | ((u&z)>(((x&u)>g)|(g&x))) | 0 | 1 | 0 | 0 | not entailment |
(x>~(((((z|~(x))>g)|(g&(z>~(p))))|x))) | ((~(z)|u)|(~((z>g))|(u|~((z|z))))) | 0 | 1 | 0 | 0 | not entailment |
~(((((p&p)>((u>x)|z))&f)|((z&x)|(g>z)))) | ((p>(p&u))>((x>u)|((z>u)&(f>p)))) | 1 | 1 | 1 | 0 | entailment |
((~((p|u))&(z|(p&z)))&x) | ~((u&(u|(x|p)))) | 1 | 1 | 1 | 0 | entailment |
~(((((p&p)>((u>x)|z))&f)|((z&x)|(g>z)))) | ~((u&(u|(x|p)))) | 0 | 1 | 1 | 0 | not entailment |
((~((p|u))&(z|(p&z)))&x) | ((p>(p&u))>((x>u)|((z>u)&(f>p)))) | 0 | 0 | 0 | 0 | not entailment |
((u&(z>(((x&x)&z)&(x&g))))&(p|z)) | ~(~((z>((g>f)>g)))) | 1 | 1 | 0 | 0 | entailment |
~((~((p&(x|x)))|g)) | (~(((((x|z)>p)>f)|(p&f)))|((z|z)>(f|p))) | 1 | 0 | 0 | 0 | entailment |
((u&(z>(((x&x)&z)&(x&g))))&(p|z)) | (~(((((x|z)>p)>f)|(p&f)))|((z|z)>(f|p))) | 0 | 0 | 0 | 0 | not entailment |
~((~((p&(x|x)))|g)) | ~(~((z>((g>f)>g)))) | 0 | 1 | 0 | 0 | not entailment |
(x&p) | (~((~(g)>p))|x) | 1 | 0 | 0 | 0 | entailment |
(f&~((p&g))) | (~((~(((u|p)|((f|x)|f)))&(u|x)))>f) | 1 | 0 | 0 | 0 | entailment |
(x&p) | (~((~(((u|p)|((f|x)|f)))&(u|x)))>f) | 0 | 0 | 0 | 0 | not entailment |
(f&~((p&g))) | (~((~(g)>p))|x) | 0 | 0 | 0 | 0 | not entailment |
~((~(p)|(u&f))) | ((u>((f>(x&p))>(u|z)))>p) | 1 | 0 | 0 | 0 | entailment |
(((z|p)|z)&g) | (x>g) | 1 | 1 | 0 | 0 | entailment |
~((~(p)|(u&f))) | (x>g) | 0 | 1 | 0 | 0 | not entailment |
(((z|p)|z)&g) | ((u>((f>(x&p))>(u|z)))>p) | 0 | 0 | 0 | 0 | not entailment |
(((~(f)|((u&p)>x))&(f&g))&(~(u)&z)) | ~((~(~(g))>(p&(f&u)))) | 1 | 1 | 1 | 1 | entailment |
~((~(z)>(((g|u)>z)>g))) | ~(~(~(((x>x)>g)))) | 1 | 1 | 0 | 0 | entailment |
(((~(f)|((u&p)>x))&(f&g))&(~(u)&z)) | ~(~(~(((x>x)>g)))) | 0 | 1 | 1 | 0 | not entailment |
~((~(z)>(((g|u)>z)>g))) | ~((~(~(g))>(p&(f&u)))) | 0 | 1 | 0 | 0 | not entailment |
~((((z>f)|(((g|g)|u)&f))|u)) | ((~((((x|g)|(g&f))&u))>f)>(g&~(g))) | 1 | 0 | 0 | 0 | entailment |
((((z|p)&~(x))|(u&p))&(z&g)) | (x>(x&g)) | 1 | 1 | 1 | 0 | entailment |
~((((z>f)|(((g|g)|u)&f))|u)) | (x>(x&g)) | 0 | 1 | 0 | 0 | not entailment |
((((z|p)&~(x))|(u&p))&(z&g)) | ((~((((x|g)|(g&f))&u))>f)>(g&~(g))) | 0 | 0 | 0 | 0 | not entailment |
~((~((~(f)>u))>((~(g)&p)|g))) | (((g|g)|g)|((u|g)>p)) | 1 | 1 | 1 | 0 | entailment |
~((z&(~(z)>(z|f)))) | ((z>u)|~((x|~(z)))) | 1 | 1 | 0 | 0 | entailment |
~((~((~(f)>u))>((~(g)&p)|g))) | ((z>u)|~((x|~(z)))) | 0 | 1 | 0 | 0 | not entailment |
~((z&(~(z)>(z|f)))) | (((g|g)|g)|((u|g)>p)) | 0 | 1 | 0 | 0 | not entailment |
((p&z)&(~(~(((f>x)|(x&x))))>(x|~(g)))) | ~((((z>(z|((f>u)&x)))>~(z))&~(p))) | 1 | 1 | 0 | 0 | entailment |
(u&f) | ((f|(g|g))|~(((x>~(g))&u))) | 1 | 0 | 0 | 0 | entailment |
((p&z)&(~(~(((f>x)|(x&x))))>(x|~(g)))) | ((f|(g|g))|~(((x>~(g))&u))) | 0 | 1 | 0 | 0 | not entailment |
(u&f) | ~((((z>(z|((f>u)&x)))>~(z))&~(p))) | 0 | 0 | 0 | 0 | not entailment |
((g&(u|g))&~(~(p))) | ~(~(p)) | 1 | 1 | 1 | 1 | entailment |
(((u>x)>(z&x))&(u&f)) | ((~(g)|(f|z))&(~((((x>u)|f)|x))>p)) | 1 | 0 | 0 | 0 | entailment |
((g&(u|g))&~(~(p))) | ((~(g)|(f|z))&(~((((x>u)|f)|x))>p)) | 0 | 0 | 0 | 0 | not entailment |
(((u>x)>(z&x))&(u&f)) | ~(~(p)) | 0 | 1 | 0 | 0 | not entailment |
~(((u|z)|~((x>g)))) | ~((u&(((f>((p>g)|f))&g)&(p|p)))) | 1 | 0 | 0 | 0 | entailment |
((z&x)&x) | ((~(g)>(p&((g&g)&g)))>z) | 1 | 0 | 0 | 0 | entailment |
~(((u|z)|~((x>g)))) | ((~(g)>(p&((g&g)&g)))>z) | 0 | 0 | 0 | 0 | not entailment |
((z&x)&x) | ~((u&(((f>((p>g)|f))&g)&(p|p)))) | 0 | 0 | 0 | 0 | not entailment |
((u&(z|f))&(p&x)) | (((((u>x)>z)|u)|(u&z))>((f|x)|f)) | 1 | 0 | 1 | 0 | entailment |
((u|~((f>u)))>(((p>x)|z)>~((g>z)))) | (~(~((u&z)))>~(u)) | 1 | 1 | 1 | 1 | entailment |
((u&(z|f))&(p&x)) | (~(~((u&z)))>~(u)) | 0 | 0 | 1 | 0 | not entailment |
((u|~((f>u)))>(((p>x)|z)>~((g>z)))) | (((((u>x)>z)|u)|(u&z))>((f|x)|f)) | 0 | 1 | 1 | 0 | not entailment |
(u>f) | ((~(f)>z)|~(((g&p)&((u|z)&x)))) | 1 | 0 | 0 | 0 | entailment |
(x&p) | (((p>f)&(z>(z&g)))|p) | 1 | 0 | 0 | 0 | entailment |
(u>f) | (((p>f)&(z>(z&g)))|p) | 0 | 0 | 0 | 0 | not entailment |
(x&p) | ((~(f)>z)|~(((g&p)&((u|z)&x)))) | 0 | 0 | 0 | 0 | not entailment |
(b&y) | ((((g|w)&(t|(y&g)))|(b|(c|k)))>b) | 1 | 0 | 0 | 0 | entailment |
~((((c>o)|((t&(o>o))>(o&k)))|(g|o))) | ((((m>((m&t)>c))&o)>o)>c) | 1 | 1 | 0 | 0 | entailment |
(b&y) | ((((m>((m&t)>c))&o)>o)>c) | 0 | 0 | 0 | 0 | not entailment |
~((((c>o)|((t&(o>o))>(o&k)))|(g|o))) | ((((g|w)&(t|(y&g)))|(b|(c|k)))>b) | 0 | 1 | 0 | 0 | not entailment |
(g&y) | ((y|(y&(k>o)))&(~((b|w))>(m|y))) | 1 | 0 | 0 | 0 | entailment |
((c&(k>(w&y)))&(m>w)) | (((~((c>t))&~((c>t)))&((t|o)>(o>t)))|c) | 1 | 0 | 0 | 0 | entailment |
(g&y) | (((~((c>t))&~((c>t)))&((t|o)>(o>t)))|c) | 0 | 0 | 0 | 0 | not entailment |
((c&(k>(w&y)))&(m>w)) | ((y|(y&(k>o)))&(~((b|w))>(m|y))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(g)>o)&~(~(c)))) | ((o>((b&t)|((o&c)>(~((c&w))|g))))&(t>t)) | 1 | 0 | 0 | 0 | entailment |
(b&y) | ((g&y)|(y|t)) | 1 | 0 | 0 | 0 | entailment |
~(((~(g)>o)&~(~(c)))) | ((g&y)|(y|t)) | 0 | 1 | 0 | 0 | not entailment |
(b&y) | ((o>((b&t)|((o&c)>(~((c&w))|g))))&(t>t)) | 0 | 0 | 0 | 0 | not entailment |
~(((m&(w&~(b)))>~((((t|k)&m)>b)))) | (t>y) | 1 | 1 | 0 | 0 | entailment |
((t&(((y&(t>c))|(m>c))&k))&~(o)) | ((y>(((g|b)&~(((g&o)&w)))&(t|t)))|k) | 1 | 0 | 0 | 0 | entailment |
~(((m&(w&~(b)))>~((((t|k)&m)>b)))) | ((y>(((g|b)&~(((g&o)&w)))&(t|t)))|k) | 0 | 1 | 0 | 0 | not entailment |
((t&(((y&(t>c))|(m>c))&k))&~(o)) | (t>y) | 0 | 1 | 1 | 1 | not entailment |
(~((c|~((g&((y&b)>(y&b))))))&(w&k)) | ((c>m)|~(k)) | 1 | 1 | 0 | 0 | entailment |
~(o) | ((c>m)|~(k)) | 0 | 0 | 0 | 0 | not entailment |
(~((c|~((g&((y&b)>(y&b))))))&(w&k)) | (o>b) | 0 | 1 | 0 | 0 | not entailment |
(k&(~(g)&c)) | (~(c)>(((t&w)|y)>~((k>m)))) | 1 | 0 | 0 | 0 | entailment |
~(~(((w&b)&(g>(b&(w>t)))))) | ((t&(y>g))>((b>o)>o)) | 1 | 1 | 0 | 0 | entailment |
(k&(~(g)&c)) | ((t&(y>g))>((b>o)>o)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((w&b)&(g>(b&(w>t)))))) | (~(c)>(((t&w)|y)>~((k>m)))) | 0 | 1 | 0 | 0 | not entailment |
~(m) | ((w>((k&c)>c))>(~((o&m))|(b|w))) | 1 | 0 | 0 | 0 | entailment |
~(~((~((~(g)&g))&(g&(t&c))))) | (((y>c)&o)|t) | 1 | 1 | 0 | 0 | entailment |
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