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 |
|---|---|---|---|---|---|---|
(z&~(j)) | ((z&x)>((x|(~(m)&j))&((o&m)>j))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(~((~((x|f))&p)))>((f&e)>f))>o)) | ~(((j|(m&j))&z)) | 0 | 1 | 0 | 0 | not entailment |
(m&(((f|m)>(z&m))&((f&f)&j))) | (((o>(o&m))&j)>m) | 1 | 1 | 0 | 0 | entailment |
((p>m)&~((f|(z|f)))) | ~(~(~((e&(~(~((z&o)))&(o&f)))))) | 1 | 0 | 0 | 0 | entailment |
(m&(((f|m)>(z&m))&((f&f)&j))) | ~(~(~((e&(~(~((z&o)))&(o&f)))))) | 0 | 0 | 0 | 0 | not entailment |
((p>m)&~((f|(z|f)))) | (((o>(o&m))&j)>m) | 0 | 1 | 0 | 0 | not entailment |
~((j|((x&j)|z))) | (~(~((p&z)))>(~(e)&x)) | 1 | 0 | 0 | 0 | entailment |
(p&~((j>(((o&m)>~(~(j)))>~(e))))) | (~(o)|(p|x)) | 1 | 1 | 0 | 0 | entailment |
~((j|((x&j)|z))) | (~(o)|(p|x)) | 0 | 1 | 0 | 0 | not entailment |
(p&~((j>(((o&m)>~(~(j)))>~(e))))) | (~(~((p&z)))>(~(e)&x)) | 0 | 1 | 0 | 0 | not entailment |
(p|(m&(p|(m&z)))) | ((x>p)|((j&m)|(j|m))) | 1 | 0 | 0 | 0 | entailment |
~((~(z)|(o|e))) | ((x>j)|z) | 1 | 1 | 0 | 0 | entailment |
(p|(m&(p|(m&z)))) | ((x>j)|z) | 0 | 1 | 0 | 0 | not entailment |
~((~(z)|(o|e))) | ((x>p)|((j&m)|(j|m))) | 0 | 0 | 0 | 0 | not entailment |
(p&(~(f)&j)) | (p|(((x&x)&~(((j&z)|(p>(e>f)))))&~(x))) | 1 | 0 | 0 | 0 | entailment |
~((m|(~(((j>m)|f))>(e&o)))) | (~(m)|x) | 1 | 1 | 0 | 0 | entailment |
(p&(~(f)&j)) | (~(m)|x) | 0 | 1 | 0 | 0 | not entailment |
~((m|(~(((j>m)|f))>(e&o)))) | (p|(((x&x)&~(((j&z)|(p>(e>f)))))&~(x))) | 0 | 0 | 0 | 0 | not entailment |
~(~((j&(x|~((m|~(z))))))) | ((~((~(x)&j))>j)|((z&e)|m)) | 1 | 1 | 0 | 0 | entailment |
~((o|m)) | ~(m) | 1 | 1 | 1 | 1 | entailment |
~(~((j&(x|~((m|~(z))))))) | ~(m) | 0 | 1 | 1 | 1 | not entailment |
~((o|m)) | ((~((~(x)&j))>j)|((z&e)|m)) | 0 | 0 | 0 | 0 | not entailment |
((j>(z&z))>(~(j)>(e&j))) | (~(z)>((f&e)|j)) | 1 | 1 | 0 | 0 | entailment |
~(((e|((m|p)|x))&((o>((o&z)>m))>(j|m)))) | ((m&x)>z) | 1 | 1 | 1 | 0 | entailment |
((j>(z&z))>(~(j)>(e&j))) | ((m&x)>z) | 0 | 1 | 0 | 0 | not entailment |
~(((e|((m|p)|x))&((o>((o&z)>m))>(j|m)))) | (~(z)>((f&e)|j)) | 0 | 1 | 0 | 0 | not entailment |
~((m|(f&~(p)))) | (m>j) | 1 | 1 | 0 | 0 | entailment |
~(((z|~(~(x)))|~((~(o)|m)))) | (e>(~((x&e))&(x>(e&f)))) | 1 | 1 | 0 | 0 | entailment |
~((m|(f&~(p)))) | (e>(~((x&e))&(x>(e&f)))) | 0 | 0 | 0 | 0 | not entailment |
~(((z|~(~(x)))|~((~(o)|m)))) | (m>j) | 0 | 1 | 0 | 0 | not entailment |
(h&(y>u)) | ((s|p)>(((y>y)|(v|h))&((p|(z|s))>h))) | 1 | 0 | 0 | 0 | entailment |
(((p&s)|h)&~(((p&v)>(h|(h&(p>h)))))) | ((((y&h)&~((u&v)))|v)&~(~(v))) | 1 | 1 | 0 | 0 | entailment |
(h&(y>u)) | ((((y&h)&~((u&v)))|v)&~(~(v))) | 0 | 0 | 0 | 0 | not entailment |
(((p&s)|h)&~(((p&v)>(h|(h&(p>h)))))) | ((s|p)>(((y>y)|(v|h))&((p|(z|s))>h))) | 0 | 1 | 0 | 0 | not entailment |
((h&~((y&((s>(v|m))&((z>p)&y)))))&(h&u)) | (s|(h|((v>(v&s))&((s|y)|(m&(v>~(p))))))) | 1 | 1 | 1 | 0 | entailment |
~((~(((~(h)|(s|y))>s))>(z&u))) | ~(((u&z)&h)) | 1 | 1 | 1 | 1 | entailment |
((h&~((y&((s>(v|m))&((z>p)&y)))))&(h&u)) | ~(((u&z)&h)) | 0 | 1 | 1 | 0 | not entailment |
~((~(((~(h)|(s|y))>s))>(z&u))) | (s|(h|((v>(v&s))&((s|y)|(m&(v>~(p))))))) | 0 | 0 | 0 | 0 | not entailment |
(h&u) | (y|u) | 1 | 1 | 0 | 0 | entailment |
((m|p)&((v>(v|~(~((z&u)))))&~((m&m)))) | (y>p) | 1 | 1 | 0 | 0 | entailment |
(h&u) | (y>p) | 0 | 1 | 0 | 0 | not entailment |
((m|p)&((v>(v|~(~((z&u)))))&~((m&m)))) | (y|u) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((~((p&(~(h)&(v>z))))|z)))) | ~(~(~(((~(~((v>s)))>(z&z))|h)))) | 1 | 1 | 0 | 0 | entailment |
~(~((h&m))) | (h|~(u)) | 1 | 1 | 0 | 0 | entailment |
~(~(~((~((p&(~(h)&(v>z))))|z)))) | (h|~(u)) | 0 | 1 | 0 | 0 | not entailment |
~(~((h&m))) | ~(~(~(((~(~((v>s)))>(z&z))|h)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(v))) | ((v&~(~(y)))>(~(s)&~(s))) | 1 | 0 | 0 | 0 | entailment |
(s&~(~(h))) | ((((s&(v&y))|h)>(z>p))>(m>h)) | 1 | 0 | 0 | 0 | entailment |
~(~(~(v))) | ((((s&(v&y))|h)>(z>p))>(m>h)) | 0 | 0 | 0 | 0 | not entailment |
(s&~(~(h))) | ((v&~(~(y)))>(~(s)&~(s))) | 0 | 0 | 0 | 0 | not entailment |
((~(((h|z)>m))&(h|s))&~(y)) | ((z&y)>((s&s)>~(m))) | 1 | 1 | 1 | 0 | entailment |
(((z>z)>v)&~(~(((~(m)|(p>~(z)))&y)))) | ((z&s)|(((z&v)|v)&v)) | 1 | 1 | 0 | 0 | entailment |
((~(((h|z)>m))&(h|s))&~(y)) | ((z&s)|(((z&v)|v)&v)) | 0 | 1 | 0 | 0 | not entailment |
(((z>z)>v)&~(~(((~(m)|(p>~(z)))&y)))) | ((z&y)>((s&s)>~(m))) | 0 | 1 | 0 | 0 | not entailment |
((u&z)&z) | (((h&~(v))|m)|(u&((y|(s|(y>h)))|z))) | 1 | 0 | 0 | 0 | entailment |
~((~(y)|m)) | (h>((y&h)|s)) | 1 | 1 | 0 | 0 | entailment |
((u&z)&z) | (h>((y&h)|s)) | 0 | 0 | 0 | 0 | not entailment |
~((~(y)|m)) | (((h&~(v))|m)|(u&((y|(s|(y>h)))|z))) | 0 | 0 | 0 | 0 | not entailment |
(m&~(~((~((v|u))&(u|~((z|(s&m)))))))) | ((v&(~((y|z))>(s&s)))>(v>y)) | 1 | 1 | 0 | 0 | entailment |
~(~(u)) | (p>(h>u)) | 1 | 1 | 0 | 0 | entailment |
(m&~(~((~((v|u))&(u|~((z|(s&m)))))))) | (p>(h>u)) | 0 | 1 | 0 | 0 | not entailment |
~(~(u)) | ((v&(~((y|z))>(s&s)))>(v>y)) | 0 | 0 | 0 | 0 | not entailment |
(((v&s)>((u>p)>v))&(u&y)) | (v>(u|(((m&(v|v))|(v&m))>s))) | 1 | 0 | 0 | 0 | entailment |
((~((s&z))&~(y))&((v&z)>(~(u)|z))) | ((y&(u|v))>~(s)) | 1 | 1 | 1 | 1 | entailment |
(((v&s)>((u>p)>v))&(u&y)) | ((y&(u|v))>~(s)) | 0 | 1 | 1 | 0 | not entailment |
((~((s&z))&~(y))&((v&z)>(~(u)|z))) | (v>(u|(((m&(v|v))|(v&m))>s))) | 0 | 1 | 0 | 0 | not entailment |
(~(m)&~((h>~(~(v))))) | (((m>p)|z)|y) | 1 | 1 | 0 | 0 | entailment |
(~(z)&s) | ~((((u&h)&((z|(m&v))&(y|~(m))))&(z|z))) | 1 | 0 | 0 | 0 | entailment |
(~(m)&~((h>~(~(v))))) | ~((((u&h)&((z|(m&v))&(y|~(m))))&(z|z))) | 0 | 0 | 0 | 0 | not entailment |
(~(z)&s) | (((m>p)|z)|y) | 0 | 0 | 0 | 0 | not entailment |
~((((u>p)&(v|(h&~(p))))>~(((s>h)>p)))) | (((v|(p&u))|(u&p))|y) | 1 | 1 | 0 | 0 | entailment |
~(((m|(m&s))&(u|m))) | ~((((y|~(p))>m)&(y&h))) | 1 | 0 | 0 | 0 | entailment |
~((((u>p)&(v|(h&~(p))))>~(((s>h)>p)))) | ~((((y|~(p))>m)&(y&h))) | 0 | 1 | 0 | 0 | not entailment |
~(((m|(m&s))&(u|m))) | (((v|(p&u))|(u&p))|y) | 0 | 1 | 0 | 0 | not entailment |
~(((p>((m|v)&(u&v)))|(y|v))) | ((h&((h>y)&(m>h)))>((v>s)>p)) | 1 | 1 | 0 | 0 | entailment |
~(((h&u)>v)) | ~((((s>h)>~(u))&(((z|h)>z)|h))) | 1 | 0 | 0 | 0 | entailment |
~(((p>((m|v)&(u&v)))|(y|v))) | ~((((s>h)>~(u))&(((z|h)>z)|h))) | 0 | 0 | 0 | 0 | not entailment |
~(((h&u)>v)) | ((h&((h>y)&(m>h)))>((v>s)>p)) | 0 | 0 | 0 | 0 | not entailment |
(y&((((y>h)|y)|(((m|y)>p)>(h&v)))>(p&h))) | ((~((y>v))|(y&~(p)))>h) | 1 | 1 | 1 | 0 | entailment |
~(((m|u)|((~(u)>(y>(m>u)))&(y>v)))) | ~(m) | 1 | 1 | 1 | 1 | entailment |
(y&((((y>h)|y)|(((m|y)>p)>(h&v)))>(p&h))) | ~(m) | 0 | 1 | 1 | 1 | not entailment |
~(((m|u)|((~(u)>(y>(m>u)))&(y>v)))) | ((~((y>v))|(y&~(p)))>h) | 0 | 1 | 0 | 0 | not entailment |
~(((z&m)|(y>m))) | (~((m>u))>p) | 1 | 1 | 0 | 0 | entailment |
~((s|(z|s))) | ~(((s&u)&(((m|m)|y)|(h|((v&u)&z))))) | 1 | 0 | 0 | 0 | entailment |
~(((z&m)|(y>m))) | ~(((s&u)&(((m|m)|y)|(h|((v&u)&z))))) | 0 | 0 | 0 | 0 | not entailment |
~((s|(z|s))) | (~((m>u))>p) | 0 | 1 | 0 | 0 | not entailment |
((h|h)|(v&~((h>(m&z))))) | ~(~((((u&m)|m)>(u|(h&m))))) | 1 | 0 | 0 | 0 | entailment |
(~(((m|u)>p))&(s|(s&(y>z)))) | (s|z) | 1 | 1 | 1 | 1 | entailment |
((h|h)|(v&~((h>(m&z))))) | (s|z) | 0 | 1 | 0 | 0 | not entailment |
(~(((m|u)>p))&(s|(s&(y>z)))) | ~(~((((u&m)|m)>(u|(h&m))))) | 0 | 1 | 0 | 0 | not entailment |
(m&(~((u&v))&~(~(s)))) | (s|v) | 1 | 1 | 1 | 0 | entailment |
~((~(~(~(((~((h|s))|v)&m))))|(h|s))) | (~(z)>~(s)) | 1 | 1 | 0 | 0 | entailment |
(m&(~((u&v))&~(~(s)))) | (~(z)>~(s)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(~(((~((h|s))|v)&m))))|(h|s))) | (s|v) | 0 | 1 | 1 | 0 | not entailment |
(u&(((s|~(z))>((h|((s&v)&u))|u))>h)) | (m|(u&h)) | 1 | 1 | 0 | 0 | entailment |
~((((u>p)&~((p&m)))>~(u))) | ((y&((m&y)&y))>(p|(((y|u)&~(z))>p))) | 1 | 0 | 0 | 0 | entailment |
(u&(((s|~(z))>((h|((s&v)&u))|u))>h)) | ((y&((m&y)&y))>(p|(((y|u)&~(z))>p))) | 0 | 1 | 0 | 0 | not entailment |
~((((u>p)&~((p&m)))>~(u))) | (m|(u&h)) | 0 | 1 | 0 | 0 | not entailment |
((u&m)&u) | (((~((z&~(~(y))))|(m&u))>s)>u) | 1 | 0 | 0 | 0 | entailment |
((((v>y)>s)|y)&v) | (v|z) | 1 | 1 | 0 | 0 | entailment |
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