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&~(m)) | ((((m>z)>w)>(p|(p|z)))|m) | 1 | 0 | 0 | 0 | entailment |
~(((p|p)|(((p&m)>p)>(z|~((u&(z>u))))))) | ((z>w)&((z>b)>((w>(u|u))|(m>w)))) | 1 | 1 | 0 | 0 | entailment |
(z&~(m)) | ((z>w)&((z>b)>((w>(u|u))|(m>w)))) | 0 | 0 | 0 | 0 | not entailment |
~(((p|p)|(((p&m)>p)>(z|~((u&(z>u))))))) | ((((m>z)>w)>(p|(p|z)))|m) | 0 | 1 | 0 | 0 | not entailment |
(((w&(b&b))|b)&(w&u)) | ((~(((~((b|u))&z)>u))&m)>~((z&p))) | 1 | 0 | 0 | 0 | entailment |
(~(((p>z)>(z>u)))&w) | (u>(m|(p&((((m&u)&p)&p)>(z>m))))) | 1 | 0 | 0 | 0 | entailment |
(((w&(b&b))|b)&(w&u)) | (u>(m|(p&((((m&u)&p)&p)>(z>m))))) | 0 | 0 | 0 | 0 | not entailment |
(~(((p>z)>(z>u)))&w) | ((~(((~((b|u))&z)>u))&m)>~((z&p))) | 0 | 0 | 0 | 0 | not entailment |
(w&u) | (~((((((p|w)&z)>m)>m)>(u|(p&u))))|(m>w)) | 1 | 0 | 0 | 0 | entailment |
(p&(u|~(p))) | ~(~(((m&z)|((p|z)|p)))) | 1 | 0 | 0 | 0 | entailment |
(w&u) | ~(~(((m&z)|((p|z)|p)))) | 0 | 0 | 0 | 0 | not entailment |
(p&(u|~(p))) | (~((((((p|w)&z)>m)>m)>(u|(p&u))))|(m>w)) | 0 | 0 | 0 | 0 | not entailment |
(~(((u&p)&p))>~((z>(p|~(p))))) | ((~(((w|p)|u))|p)>(p&p)) | 1 | 1 | 0 | 0 | entailment |
~((u|(u|p))) | (~((~(z)>(((p>m)&m)&(~(m)>p))))>(p>w)) | 1 | 0 | 0 | 0 | entailment |
(~(((u&p)&p))>~((z>(p|~(p))))) | (~((~(z)>(((p>m)&m)&(~(m)>p))))>(p>w)) | 0 | 0 | 0 | 0 | not entailment |
~((u|(u|p))) | ((~(((w|p)|u))|p)>(p&p)) | 0 | 0 | 0 | 0 | not entailment |
(w&b) | ((((p&u)|p)>b)&((b&w)&~(~((~(u)>b))))) | 1 | 0 | 0 | 0 | entailment |
(p&(p&z)) | ((z|m)&(b|(~(p)>(u|m)))) | 1 | 0 | 0 | 0 | entailment |
(w&b) | ((z|m)&(b|(~(p)>(u|m)))) | 0 | 0 | 0 | 0 | not entailment |
(p&(p&z)) | ((((p&u)|p)>b)&((b&w)&~(~((~(u)>b))))) | 0 | 0 | 0 | 0 | not entailment |
(((p>b)>w)&b) | ((p&(b|((z|b)>u)))|w) | 1 | 0 | 0 | 0 | entailment |
~(((w|(b|~(z)))|p)) | (~(~(~((((z|w)>b)|b))))|u) | 1 | 0 | 0 | 0 | entailment |
(((p>b)>w)&b) | (~(~(~((((z|w)>b)|b))))|u) | 0 | 0 | 0 | 0 | not entailment |
~(((w|(b|~(z)))|p)) | ((p&(b|((z|b)>u)))|w) | 0 | 1 | 0 | 0 | not entailment |
(u&(b|(~((z|(u&z)))>w))) | (z|((~(w)|~(p))>(p>u))) | 1 | 1 | 0 | 0 | entailment |
((z|p)&~((m|(b|u)))) | ~(~(((m|(b&(p|m)))>~((p|m))))) | 1 | 0 | 1 | 0 | entailment |
(u&(b|(~((z|(u&z)))>w))) | ~(~(((m|(b&(p|m)))>~((p|m))))) | 0 | 0 | 0 | 0 | not entailment |
((z|p)&~((m|(b|u)))) | (z|((~(w)|~(p))>(p>u))) | 0 | 0 | 0 | 0 | not entailment |
(u&(((p&u)&(p>m))|((m&u)>p))) | ((~((u&b))&w)|(z|u)) | 1 | 1 | 0 | 0 | entailment |
((~(p)|~(p))&((~(z)&u)|b)) | ((~(w)&u)>(p>(p&~(~((m>b)))))) | 1 | 0 | 0 | 0 | entailment |
(u&(((p&u)&(p>m))|((m&u)>p))) | ((~(w)&u)>(p>(p&~(~((m>b)))))) | 0 | 0 | 0 | 0 | not entailment |
((~(p)|~(p))&((~(z)&u)|b)) | ((~((u&b))&w)|(z|u)) | 0 | 1 | 0 | 0 | not entailment |
(m&((w&((p|m)&w))&(z|m))) | ((m|z)&(m|(w&~(p)))) | 1 | 1 | 1 | 0 | entailment |
((m|((m&w)>u))&(u&w)) | ((m&w)>(p>u)) | 1 | 1 | 0 | 0 | entailment |
(m&((w&((p|m)&w))&(z|m))) | ((m&w)>(p>u)) | 0 | 1 | 0 | 0 | not entailment |
((m|((m&w)>u))&(u&w)) | ((m|z)&(m|(w&~(p)))) | 0 | 1 | 0 | 0 | not entailment |
((w|b)&((~(~(w))&((w|(p|(p>m)))>u))&p)) | (((p>m)|(((p&z)>(z|b))|w))&w) | 1 | 1 | 0 | 0 | entailment |
~(~(m)) | ~(~(m)) | 1 | 1 | 1 | 1 | entailment |
((w|b)&((~(~(w))&((w|(p|(p>m)))>u))&p)) | ~(~(m)) | 0 | 1 | 1 | 0 | not entailment |
~(~(m)) | (((p>m)|(((p&z)>(z|b))|w))&w) | 0 | 0 | 0 | 0 | not entailment |
((m&w)&u) | ((((~(b)>(w&b))>(p>m))|(m&w))|(p&(u&m))) | 1 | 0 | 0 | 0 | entailment |
(~(u)&p) | (~((w&~(b)))|((m>(z&b))|(p&p))) | 1 | 0 | 0 | 0 | entailment |
((m&w)&u) | (~((w&~(b)))|((m>(z&b))|(p&p))) | 0 | 0 | 0 | 0 | not entailment |
(~(u)&p) | ((((~(b)>(w&b))>(p>m))|(m&w))|(p&(u&m))) | 0 | 0 | 0 | 0 | not entailment |
~((p&((w|((((w>w)>w)>m)|z))|(b&m)))) | (~((p>~(b)))>(b>u)) | 1 | 1 | 0 | 0 | entailment |
(z>(z&u)) | ((~(w)|(w&u))|(z>u)) | 1 | 0 | 0 | 0 | entailment |
~((p&((w|((((w>w)>w)>m)|z))|(b&m)))) | ((~(w)|(w&u))|(z>u)) | 0 | 1 | 0 | 0 | not entailment |
(z>(z&u)) | (~((p>~(b)))>(b>u)) | 0 | 0 | 0 | 0 | not entailment |
((m|b)&(m&(z|((m&w)&~(w))))) | ((w&~(m))|(m|(z|w))) | 1 | 1 | 1 | 0 | entailment |
(~((((b|z)|u)&(z|(u|z))))&b) | ~((~(b)|~(((b|(b>m))|(z>p))))) | 1 | 0 | 0 | 0 | entailment |
((m|b)&(m&(z|((m&w)&~(w))))) | ~((~(b)|~(((b|(b>m))|(z>p))))) | 0 | 0 | 0 | 0 | not entailment |
(~((((b|z)|u)&(z|(u|z))))&b) | ((w&~(m))|(m|(z|w))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((~((m|(m|z)))>p)))) | ((m|z)>b) | 1 | 1 | 0 | 0 | entailment |
~((z>b)) | ((w|m)|z) | 1 | 1 | 0 | 0 | entailment |
~(~(~((~((m|(m|z)))>p)))) | ((w|m)|z) | 0 | 1 | 0 | 0 | not entailment |
~((z>b)) | ((m|z)>b) | 0 | 1 | 0 | 0 | not entailment |
((~((c|c))|h)&(c&(((h|h)>(c|~(s)))>h))) | (c|(s>c)) | 1 | 1 | 1 | 0 | entailment |
(s|s) | (((c&c)>s)&((((s|h)&s)|c)&(h|s))) | 1 | 0 | 0 | 0 | entailment |
((~((c|c))|h)&(c&(((h|h)>(c|~(s)))>h))) | (((c&c)>s)&((((s|h)&s)|c)&(h|s))) | 0 | 1 | 1 | 1 | not entailment |
(s|s) | (c|(s>c)) | 0 | 0 | 0 | 0 | not entailment |
((c>s)>c) | (s|~(~(c))) | 1 | 0 | 1 | 0 | entailment |
((h>c)>h) | ~(~(~(~((s>h))))) | 1 | 0 | 0 | 0 | entailment |
((c>s)>c) | ~(~(~(~((s>h))))) | 0 | 0 | 0 | 0 | not entailment |
((h>c)>h) | (s|~(~(c))) | 0 | 0 | 0 | 0 | not entailment |
((h&c)&h) | (~(s)|((~(c)&~(h))>(((c|c)&h)|h))) | 1 | 0 | 0 | 0 | entailment |
((~(c)|s)&s) | (((s>c)&~(s))>(((s&h)&c)&~((s&s)))) | 1 | 0 | 0 | 0 | entailment |
((h&c)&h) | (((s>c)&~(s))>(((s&h)&c)&~((s&s)))) | 0 | 0 | 0 | 0 | not entailment |
((~(c)|s)&s) | (~(s)|((~(c)&~(h))>(((c|c)&h)|h))) | 0 | 0 | 0 | 0 | not entailment |
~(c) | (c>((((s|c)>c)&(c&h))|~(s))) | 1 | 0 | 0 | 0 | entailment |
((((c|s)>(s&h))|s)&s) | (s|(c&s)) | 1 | 1 | 1 | 0 | entailment |
~(c) | (s|(c&s)) | 0 | 0 | 0 | 0 | not entailment |
((((c|s)>(s&h))|s)&s) | (c>((((s|c)>c)&(c&h))|~(s))) | 0 | 0 | 1 | 0 | not entailment |
(~(c)&(((c&h)|~(((c|h)&s)))&(s>(h&s)))) | ((c>s)|(~(h)|(s&s))) | 1 | 1 | 1 | 1 | entailment |
(h&c) | (c|(h>s)) | 1 | 0 | 0 | 0 | entailment |
(~(c)&(((c&h)|~(((c|h)&s)))&(s>(h&s)))) | (c|(h>s)) | 0 | 1 | 1 | 1 | not entailment |
(h&c) | ((c>s)|(~(h)|(s&s))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(s)|~(h))>h)) | ~(((h&s)&((h|s)|s))) | 1 | 1 | 1 | 1 | entailment |
((~(c)>~((s&c)))>~((h>c))) | (c>((h>s)&~(c))) | 1 | 1 | 1 | 0 | entailment |
~(((~(s)|~(h))>h)) | (c>((h>s)&~(c))) | 0 | 1 | 0 | 0 | not entailment |
((~(c)>~((s&c)))>~((h>c))) | ~(((h&s)&((h|s)|s))) | 0 | 1 | 1 | 0 | not entailment |
(s&((h&c)&(h|s))) | ~(~(~(~(((h&(h&h))&s))))) | 1 | 0 | 1 | 1 | entailment |
((s>~((c&h)))&(h&c)) | ~((h>((c>s)|~(h)))) | 1 | 1 | 1 | 1 | entailment |
(s&((h&c)&(h|s))) | ~((h>((c>s)|~(h)))) | 0 | 0 | 1 | 0 | not entailment |
((s>~((c&h)))&(h&c)) | ~(~(~(~(((h&(h&h))&s))))) | 0 | 0 | 1 | 0 | not entailment |
((((c&s)>~(c))&h)&~(s)) | (((s|s)>~((h|(c|c))))|((c>h)|(s&h))) | 1 | 0 | 1 | 0 | entailment |
(~((~(~(~(s)))|(c>c)))|(~(h)&(s&c))) | (s&(((c|(s|c))>(s>h))|s)) | 1 | 1 | 1 | 0 | entailment |
((((c&s)>~(c))&h)&~(s)) | (s&(((c|(s|c))>(s>h))|s)) | 0 | 1 | 1 | 0 | not entailment |
(~((~(~(~(s)))|(c>c)))|(~(h)&(s&c))) | (((s|s)>~((h|(c|c))))|((c>h)|(s&h))) | 0 | 1 | 1 | 0 | not entailment |
~((s|c)) | ~(s) | 1 | 1 | 1 | 1 | entailment |
~((~((((h&s)|h)|(~(h)&(h|h))))|c)) | (h|s) | 1 | 1 | 1 | 1 | entailment |
~((s|c)) | (h|s) | 0 | 1 | 0 | 0 | not entailment |
~((~((((h&s)|h)|(~(h)&(h|h))))|c)) | ~(s) | 0 | 1 | 1 | 0 | not entailment |
~((~((((h|(c>h))>c)&h))>h)) | (h>(((h&s)>c)&~(((c&~(~(h)))&(c&s))))) | 1 | 0 | 0 | 0 | entailment |
((h|h)|s) | ((h|h)|(h|s)) | 1 | 0 | 1 | 1 | entailment |
~((~((((h|(c>h))>c)&h))>h)) | ((h|h)|(h|s)) | 0 | 1 | 0 | 0 | not entailment |
((h|h)|s) | (h>(((h&s)>c)&~(((c&~(~(h)))&(c&s))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(h))) | ((c&h)|~(h)) | 1 | 1 | 0 | 0 | entailment |
((s&(c&c))|(h&s)) | (s|s) | 1 | 1 | 1 | 1 | entailment |
~(~(~(h))) | (s|s) | 0 | 1 | 0 | 0 | not entailment |
((s&(c&c))|(h&s)) | ((c&h)|~(h)) | 0 | 1 | 1 | 0 | not entailment |
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