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 |
|---|---|---|---|---|---|---|
((v&n)&r) | ((v|s)|~(~((~(u)|s)))) | 1 | 0 | 0 | 0 | entailment |
~(((~(s)>(r>s))>(s|v))) | ~((u&s)) | 1 | 1 | 0 | 0 | entailment |
((v&n)&r) | ~((u&s)) | 0 | 1 | 0 | 0 | not entailment |
~(((~(s)>(r>s))>(s|v))) | ((v|s)|~(~((~(u)|s)))) | 0 | 1 | 0 | 0 | not entailment |
(n>~((v>s))) | (~((v|(n>((u&(u>n))>v))))>(~(v)&v)) | 1 | 0 | 0 | 0 | entailment |
(~(r)&(((r&r)|(~(r)&((s|r)&n)))|~(n))) | (((r|v)>(n|(v|s)))|((v|r)&(u>n))) | 1 | 1 | 0 | 0 | entailment |
(n>~((v>s))) | (((r|v)>(n|(v|s)))|((v|r)&(u>n))) | 0 | 0 | 0 | 0 | not entailment |
(~(r)&(((r&r)|(~(r)&((s|r)&n)))|~(n))) | (~((v|(n>((u&(u>n))>v))))>(~(v)&v)) | 0 | 1 | 0 | 0 | not entailment |
~((n>u)) | ((~(~((r>v)))|n)&(u>r)) | 1 | 0 | 0 | 0 | entailment |
~((n>~((n>(u|u))))) | (((r|r)|u)|~(~((s|(r|s))))) | 1 | 0 | 0 | 0 | entailment |
~((n>u)) | (((r|r)|u)|~(~((s|(r|s))))) | 0 | 0 | 0 | 0 | not entailment |
~((n>~((n>(u|u))))) | ((~(~((r>v)))|n)&(u>r)) | 0 | 0 | 0 | 0 | not entailment |
((((s|s)|v)>n)&s) | ((s>u)>n) | 1 | 1 | 0 | 0 | entailment |
(~(u)>(v&u)) | ((u>s)>(v>u)) | 1 | 1 | 0 | 0 | entailment |
((((s|s)|v)>n)&s) | ((u>s)>(v>u)) | 0 | 1 | 0 | 0 | not entailment |
(~(u)>(v&u)) | ((s>u)>n) | 0 | 1 | 0 | 0 | not entailment |
(~((~(n)&r))&((v&u)&s)) | (((r>u)|(v|(n|n)))|(u&v)) | 1 | 1 | 1 | 1 | entailment |
~((~(s)>s)) | (s>~(v)) | 1 | 1 | 0 | 0 | entailment |
(~((~(n)&r))&((v&u)&s)) | (s>~(v)) | 0 | 1 | 1 | 0 | not entailment |
~((~(s)>s)) | (((r>u)|(v|(n|n)))|(u&v)) | 0 | 0 | 0 | 0 | not entailment |
((s&n)|(r&(s&((r>n)|n)))) | ((~(s)>((~(n)&v)&s))|(u|~((n|~(v))))) | 1 | 0 | 0 | 0 | entailment |
~((((r>u)&v)>s)) | ~(s) | 1 | 1 | 1 | 1 | entailment |
((s&n)|(r&(s&((r>n)|n)))) | ~(s) | 0 | 1 | 1 | 0 | not entailment |
~((((r>u)&v)>s)) | ((~(s)>((~(n)&v)&s))|(u|~((n|~(v))))) | 0 | 0 | 0 | 0 | not entailment |
((u&s)&(~(((u|n)|r))|((v|u)&u))) | (s|(n|n)) | 1 | 1 | 1 | 0 | entailment |
~(~(~(~(((r>r)>~((v>n))))))) | (((n&(r&v))>~(u))&((r&(s>r))|(s|v))) | 1 | 0 | 0 | 0 | entailment |
((u&s)&(~(((u|n)|r))|((v|u)&u))) | (((n&(r&v))>~(u))&((r&(s>r))|(s|v))) | 0 | 0 | 1 | 0 | not entailment |
~(~(~(~(((r>r)>~((v>n))))))) | (s|(n|n)) | 0 | 1 | 0 | 0 | not entailment |
(~((r>u))&(r&~(((n>r)&n)))) | (((((v|r)|n)>(s&~(n)))&(s|(u&u)))|r) | 1 | 0 | 0 | 0 | entailment |
~(s) | ~(((s|s)&(u>s))) | 1 | 0 | 0 | 0 | entailment |
(~((r>u))&(r&~(((n>r)&n)))) | ~(((s|s)&(u>s))) | 0 | 1 | 0 | 0 | not entailment |
~(s) | (((((v|r)|n)>(s&~(n)))&(s|(u&u)))|r) | 0 | 0 | 0 | 0 | not entailment |
(((s&(r>u))|u)&(s&n)) | ~((((~(~(u))>v)>(s|(v|s)))>~(s))) | 1 | 0 | 0 | 0 | entailment |
~((((r|v)>r)|(s|(n|r)))) | ((r>((s|v)&(r>v)))&~(~(~(s)))) | 1 | 0 | 1 | 0 | entailment |
(((s&(r>u))|u)&(s&n)) | ((r>((s|v)&(r>v)))&~(~(~(s)))) | 0 | 0 | 0 | 0 | not entailment |
~((((r|v)>r)|(s|(n|r)))) | ~((((~(~(u))>v)>(s|(v|s)))>~(s))) | 0 | 0 | 0 | 0 | not entailment |
~(((s>n)|r)) | ~(((n&r)|(r&(u>s)))) | 1 | 0 | 0 | 0 | entailment |
(s>~(s)) | ~((s&~(((v>r)&((r>r)&(n&~(~(s)))))))) | 1 | 0 | 0 | 0 | entailment |
~(((s>n)|r)) | ~((s&~(((v>r)&((r>r)&(n&~(~(s)))))))) | 0 | 0 | 0 | 0 | not entailment |
(s>~(s)) | ~(((n&r)|(r&(u>s)))) | 0 | 0 | 0 | 0 | not entailment |
~((b&(((w>t)>u)|(w>x)))) | ~((b&x)) | 1 | 1 | 1 | 1 | entailment |
~(((h>((b&u)&(f&t)))>(f|((b>t)>w)))) | ((h>(f&h))|p) | 1 | 1 | 0 | 0 | entailment |
~((b&(((w>t)>u)|(w>x)))) | ((h>(f&h))|p) | 0 | 1 | 0 | 0 | not entailment |
~(((h>((b&u)&(f&t)))>(f|((b>t)>w)))) | ~((b&x)) | 0 | 1 | 0 | 0 | not entailment |
(((t&w)|~((x&f)))&~((~(w)>b))) | (w>x) | 1 | 1 | 1 | 0 | entailment |
~(~((~((((w&(u|b))|h)>h))|(p&(h&w))))) | ((w|~(t))|~(f)) | 1 | 1 | 0 | 0 | entailment |
(((t&w)|~((x&f)))&~((~(w)>b))) | ((w|~(t))|~(f)) | 0 | 1 | 1 | 0 | not entailment |
~(~((~((((w&(u|b))|h)>h))|(p&(h&w))))) | (w>x) | 0 | 1 | 0 | 0 | not entailment |
(~((b>w))&(h&p)) | (b|(w>p)) | 1 | 1 | 1 | 1 | entailment |
(h&t) | (p>((x&h)>(~(t)>(((w|f)&x)&p)))) | 1 | 0 | 0 | 0 | entailment |
(~((b>w))&(h&p)) | (p>((x&h)>(~(t)>(((w|f)&x)&p)))) | 0 | 0 | 0 | 0 | not entailment |
(h&t) | (b|(w>p)) | 0 | 0 | 0 | 0 | not entailment |
~((u>((x|w)|(((p>(f>t))|p)>p)))) | (t|((b|f)|(b|u))) | 1 | 1 | 0 | 0 | entailment |
(~(~((h|h)))&(~(~((b&(w|(b&f)))))>f)) | (((h|w)|u)>(h&h)) | 1 | 1 | 0 | 0 | entailment |
~((u>((x|w)|(((p>(f>t))|p)>p)))) | (((h|w)|u)>(h&h)) | 0 | 1 | 0 | 0 | not entailment |
(~(~((h|h)))&(~(~((b&(w|(b&f)))))>f)) | (t|((b|f)|(b|u))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(x))&(~((u>((u&u)|t)))|p)) | ((w>p)|(t|b)) | 1 | 1 | 0 | 0 | entailment |
(u&~(((h|x)&(((w&w)>w)|h)))) | (((u&w)&x)>(~(u)&t)) | 1 | 1 | 0 | 0 | entailment |
(~(~(x))&(~((u>((u&u)|t)))|p)) | (((u&w)&x)>(~(u)&t)) | 0 | 1 | 0 | 0 | not entailment |
(u&~(((h|x)&(((w&w)>w)|h)))) | ((w>p)|(t|b)) | 0 | 1 | 0 | 0 | not entailment |
~(((p|((t>(x&(b|w)))&p))|w)) | (((h&w)|w)>((f|(b&h))>(h>x))) | 1 | 1 | 0 | 0 | entailment |
~((~(~(h))>~(~((f|(t>u)))))) | (u>(f|p)) | 1 | 1 | 0 | 0 | entailment |
~(((p|((t>(x&(b|w)))&p))|w)) | (u>(f|p)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(h))>~(~((f|(t>u)))))) | (((h&w)|w)>((f|(b&h))>(h>x))) | 0 | 1 | 0 | 0 | not entailment |
(t&(((t|h)&f)&p)) | ((x&w)>p) | 1 | 1 | 0 | 0 | entailment |
(~(~((w|~(w))))&~((h>u))) | (((p|(x>u))>(x>(~(t)&(u&w))))|~(u)) | 1 | 0 | 0 | 0 | entailment |
(t&(((t|h)&f)&p)) | (((p|(x>u))>(x>(~(t)&(u&w))))|~(u)) | 0 | 0 | 0 | 0 | not entailment |
(~(~((w|~(w))))&~((h>u))) | ((x&w)>p) | 0 | 1 | 0 | 0 | not entailment |
(f|b) | (p>((b&((x>h)>p))|(u|f))) | 1 | 0 | 0 | 0 | entailment |
(((((u>t)&f)>t)>h)&t) | (((u|f)>~((b|(u&u))))|t) | 1 | 0 | 0 | 0 | entailment |
(f|b) | (((u|f)>~((b|(u&u))))|t) | 0 | 0 | 0 | 0 | not entailment |
(((((u>t)&f)>t)>h)&t) | (p>((b&((x>h)>p))|(u|f))) | 0 | 0 | 0 | 0 | not entailment |
((x&x)&u) | (((b>x)&h)|(t>(h|u))) | 1 | 0 | 0 | 0 | entailment |
((~((f&(f>w)))>(t>(u|(b|p))))>(p&w)) | (((((p&x)>p)|p)|((u>f)>w))>(u>p)) | 1 | 1 | 0 | 0 | entailment |
((x&x)&u) | (((((p&x)>p)|p)|((u>f)>w))>(u>p)) | 0 | 0 | 0 | 0 | not entailment |
((~((f&(f>w)))>(t>(u|(b|p))))>(p&w)) | (((b>x)&h)|(t>(h|u))) | 0 | 1 | 0 | 0 | not entailment |
((u&((t&(~(b)>p))|~((x>w))))&h) | (t>u) | 1 | 1 | 1 | 0 | entailment |
~((~(~(b))>(x&w))) | (b|(t&p)) | 1 | 1 | 0 | 0 | entailment |
((u&((t&(~(b)>p))|~((x>w))))&h) | (b|(t&p)) | 0 | 1 | 1 | 1 | not entailment |
~((~(~(b))>(x&w))) | (t>u) | 0 | 1 | 0 | 0 | not entailment |
((u&~((t|(x>p))))&(((t&h)|u)|~(~(p)))) | (~((~(f)>b))>~(~(~((x>t))))) | 1 | 1 | 0 | 0 | entailment |
(~((t|b))>t) | ~(~((~(((f&p)|(t|b)))>((b|x)&f)))) | 1 | 0 | 0 | 0 | entailment |
((u&~((t|(x>p))))&(((t&h)|u)|~(~(p)))) | ~(~((~(((f&p)|(t|b)))>((b|x)&f)))) | 0 | 1 | 0 | 0 | not entailment |
(~((t|b))>t) | (~((~(f)>b))>~(~(~((x>t))))) | 0 | 0 | 0 | 0 | not entailment |
(((b&u)&b)&p) | ((w>(p&u))|(((t>~(b))|(p>(t|b)))>h)) | 1 | 0 | 0 | 0 | entailment |
(((~((h>(((t|b)>(p>t))&(b&b))))|w)>u)&x) | (x|(x|~(h))) | 1 | 1 | 1 | 1 | entailment |
(((b&u)&b)&p) | (x|(x|~(h))) | 0 | 1 | 0 | 0 | not entailment |
(((~((h>(((t|b)>(p>t))&(b&b))))|w)>u)&x) | ((w>(p&u))|(((t>~(b))|(p>(t|b)))>h)) | 0 | 1 | 1 | 0 | not entailment |
~((~((~((b|(b|b)))>u))>~(~((p|f))))) | ((((u>t)>(h|p))>p)|(~(h)|((x&f)>t))) | 1 | 1 | 0 | 0 | entailment |
(((b&t)>(u|~(w)))&(u|u)) | (~((t>u))>u) | 1 | 1 | 1 | 1 | entailment |
~((~((~((b|(b|b)))>u))>~(~((p|f))))) | (~((t>u))>u) | 0 | 1 | 0 | 0 | not entailment |
(((b&t)>(u|~(w)))&(u|u)) | ((((u>t)>(h|p))>p)|(~(h)|((x&f)>t))) | 0 | 0 | 0 | 0 | not entailment |
(~((w>(u>b)))&~(h)) | ~((~((((x>(h&t))&x)|(u&(t>p))))&b)) | 1 | 0 | 0 | 0 | entailment |
((f|u)&(x|(w&x))) | (((p&~(w))|x)|~(u)) | 1 | 0 | 0 | 0 | entailment |
(~((w>(u>b)))&~(h)) | (((p&~(w))|x)|~(u)) | 0 | 1 | 0 | 0 | not entailment |
((f|u)&(x|(w&x))) | ~((~((((x>(h&t))&x)|(u&(t>p))))&b)) | 0 | 0 | 0 | 0 | not entailment |
(~((f|(h&f)))>((((~(u)>f)>f)&h)&(f&w))) | ((b|u)|f) | 1 | 1 | 0 | 0 | entailment |
(t&~(~(x))) | (((f>x)|h)|(p>b)) | 1 | 0 | 0 | 0 | entailment |
(~((f|(h&f)))>((((~(u)>f)>f)&h)&(f&w))) | (((f>x)|h)|(p>b)) | 0 | 1 | 0 | 0 | not entailment |
(t&~(~(x))) | ((b|u)|f) | 0 | 1 | 0 | 0 | not entailment |