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 |
|---|---|---|---|---|---|---|
~((t>~(m))) | ((((h&~(w))&u)>m)|(~(t)>(~(u)&~(m)))) | 1 | 0 | 0 | 0 | entailment |
(~((m|w))|~((w>~(w)))) | ((((h&~(w))&u)>m)|(~(t)>(~(u)&~(m)))) | 0 | 0 | 0 | 0 | not entailment |
~((t>~(m))) | ((~((w|(m>h)))&t)>(u>~(t))) | 0 | 0 | 0 | 0 | not entailment |
(u&~((((w|u)>u)&(~(d)|~((t&w)))))) | (d|(m|(u>d))) | 1 | 1 | 0 | 0 | entailment |
~(((u|h)&~((w>~(~(~(u))))))) | ((w&u)>((~(~(((m&m)|h)))|~(u))|h)) | 1 | 0 | 0 | 0 | entailment |
(u&~((((w|u)>u)&(~(d)|~((t&w)))))) | ((w&u)>((~(~(((m&m)|h)))|~(u))|h)) | 0 | 1 | 0 | 0 | not entailment |
~(((u|h)&~((w>~(~(~(u))))))) | (d|(m|(u>d))) | 0 | 1 | 0 | 0 | not entailment |
(~(h)&u) | ((m|~(~((m|t))))|~((u>t))) | 1 | 0 | 0 | 0 | entailment |
(((h>t)&((m>d)&d))&(h>(u&d))) | (d|~((((t>~(m))>m)|(u|w)))) | 1 | 1 | 0 | 0 | entailment |
(~(h)&u) | (d|~((((t>~(m))>m)|(u|w)))) | 0 | 0 | 0 | 0 | not entailment |
(((h>t)&((m>d)&d))&(h>(u&d))) | ((m|~(~((m|t))))|~((u>t))) | 0 | 1 | 1 | 0 | not entailment |
(u&(m|((h>t)&w))) | (((((m>d)|d)|~((m>~(d))))&u)>(u>(m|w))) | 1 | 0 | 0 | 0 | entailment |
(((h&h)>h)&h) | (~(u)|(u&(h|t))) | 1 | 0 | 0 | 0 | entailment |
(u&(m|((h>t)&w))) | (~(u)|(u&(h|t))) | 0 | 1 | 1 | 0 | not entailment |
(((h&h)>h)&h) | (((((m>d)|d)|~((m>~(d))))&u)>(u>(m|w))) | 0 | 0 | 0 | 0 | not entailment |
(h&(t&m)) | (((m|d)|~(w))|((w|(h&w))>(h&m))) | 1 | 0 | 0 | 0 | entailment |
(t&w) | ((w>~(~(~(t))))>((u>(d&u))|w)) | 1 | 0 | 0 | 0 | entailment |
(h&(t&m)) | ((w>~(~(~(t))))>((u>(d&u))|w)) | 0 | 0 | 0 | 0 | not entailment |
(t&w) | (((m|d)|~(w))|((w|(h&w))>(h&m))) | 0 | 0 | 0 | 0 | not entailment |
((m&(m>m))|(~(m)>(((m&m)&m)|m))) | (~(((m>m)|(~(m)|m)))|m) | 1 | 1 | 1 | 1 | entailment |
~(((m&((m&m)|m))|(m|m))) | (((m&(m&(m&m)))>(m|m))&~(((m&m)&(m|m)))) | 1 | 0 | 1 | 0 | entailment |
((m&(m>m))|(~(m)>(((m&m)&m)|m))) | (((m&(m&(m&m)))>(m|m))&~(((m&m)&(m|m)))) | 0 | 0 | 1 | 1 | not entailment |
~(((m&((m&m)|m))|(m|m))) | (~(((m>m)|(~(m)|m)))|m) | 0 | 1 | 1 | 0 | not entailment |
(((m>m)|((~(m)|m)>m))>(m&m)) | (m|m) | 1 | 1 | 1 | 1 | entailment |
~(((m|(((m&m)|((m>m)>m))|m))|m)) | ((m&m)>((m|~((m|m)))&((m&m)>~(m)))) | 1 | 0 | 1 | 1 | entailment |
(((m>m)|((~(m)|m)>m))>(m&m)) | ((m&m)>((m|~((m|m)))&((m&m)>~(m)))) | 0 | 0 | 1 | 1 | not entailment |
~(((m|(((m&m)|((m>m)>m))|m))|m)) | (m|m) | 0 | 1 | 1 | 1 | not entailment |
(m|m) | ((((m&m)|(m>m))&(~(m)&((m&m)&m)))|m) | 1 | 0 | 1 | 0 | entailment |
(~(m)&~((m&m))) | ~(((m|m)&(m&(m&m)))) | 1 | 0 | 1 | 1 | entailment |
(m|m) | ~(((m|m)&(m&(m&m)))) | 0 | 0 | 1 | 0 | not entailment |
(~(m)&~((m&m))) | ((((m&m)|(m>m))&(~(m)&((m&m)&m)))|m) | 0 | 0 | 1 | 0 | not entailment |
((m>m)>m) | ~((m>((m|m)&~(~(~((~(m)|m))))))) | 1 | 0 | 1 | 1 | entailment |
~((~(~(((m&~(m))&m)))|m)) | ~(~(~((m&m)))) | 1 | 1 | 1 | 1 | entailment |
((m>m)>m) | ~(~(~((m&m)))) | 0 | 0 | 1 | 1 | not entailment |
~((~(~(((m&~(m))&m)))|m)) | ~((m>((m|m)&~(~(~((~(m)|m))))))) | 0 | 0 | 1 | 1 | not entailment |
((m>((m|m)&m))>m) | ((~(m)|(m|m))&m) | 1 | 1 | 1 | 1 | entailment |
~(((m&m)&(~((m>(m|~(m))))>m))) | ~((~(m)>(~((m>m))|(m|m)))) | 1 | 1 | 1 | 1 | entailment |
((m>((m|m)&m))>m) | ~((~(m)>(~((m>m))|(m|m)))) | 0 | 0 | 1 | 1 | not entailment |
~(((m&m)&(~((m>(m|~(m))))>m))) | ((~(m)|(m|m))&m) | 0 | 1 | 1 | 1 | not entailment |
(m|m) | (((~((m|m))&m)&~((m>m)))|m) | 1 | 0 | 1 | 0 | entailment |
(((m>m)>(m>~((m>m))))&~(m)) | ~(m) | 1 | 1 | 1 | 1 | entailment |
(m|m) | ~(m) | 0 | 1 | 1 | 0 | not entailment |
(((m>m)>(m>~((m>m))))&~(m)) | (((~((m|m))&m)&~((m>m)))|m) | 0 | 1 | 1 | 1 | not entailment |
(((m|(m>m))>((m|m)&(m>m)))&m) | (((m>(m>m))&m)|m) | 1 | 1 | 1 | 1 | entailment |
~((((m|m)>(m&m))>m)) | ((m|~((m|(((m>m)&m)|m))))&~((m|(m|m)))) | 1 | 0 | 1 | 1 | entailment |
(((m|(m>m))>((m|m)&(m>m)))&m) | ((m|~((m|(((m>m)&m)|m))))&~((m|(m|m)))) | 0 | 0 | 1 | 1 | not entailment |
~((((m|m)>(m&m))>m)) | (((m>(m>m))&m)|m) | 0 | 1 | 1 | 1 | not entailment |
((~(~(m))|m)>(m&~((m&m)))) | ~((~(~((m|((m>m)>(m|m)))))&(m|(m>m)))) | 1 | 0 | 1 | 1 | entailment |
(m|m) | ~(~(m)) | 1 | 0 | 1 | 1 | entailment |
((~(~(m))|m)>(m&~((m&m)))) | ~(~(m)) | 0 | 1 | 1 | 1 | not entailment |
(m|m) | ~((~(~((m|((m>m)>(m|m)))))&(m|(m>m)))) | 0 | 0 | 1 | 0 | not entailment |
((s|s)|((s>s)&s)) | (s&s) | 1 | 1 | 1 | 1 | entailment |
(~((s|s))&~((~(s)&s))) | ~(s) | 1 | 1 | 1 | 1 | entailment |
((s|s)|((s>s)&s)) | ~(s) | 0 | 1 | 1 | 1 | not entailment |
(~((s|s))&~((~(s)&s))) | (s&s) | 0 | 1 | 1 | 1 | not entailment |
(s&(~(s)|s)) | ((s|s)|s) | 1 | 1 | 1 | 1 | entailment |
~(((s|s)&s)) | (((s>s)|((s>s)>s))>(s>~(s))) | 1 | 0 | 1 | 0 | entailment |
(s&(~(s)|s)) | (((s>s)|((s>s)>s))>(s>~(s))) | 0 | 0 | 1 | 1 | not entailment |
~(((s|s)&s)) | ((s|s)|s) | 0 | 1 | 1 | 0 | not entailment |
(((s|s)&(~(s)|s))&~(~(((s>(s&s))&s)))) | ((((s>s)|((s&s)>s))&s)&((s|(s|s))|(s>s))) | 1 | 1 | 1 | 1 | entailment |
~(s) | (((s&(s&s))|s)>(~(((s>s)|(s|s)))&(s>s))) | 1 | 0 | 1 | 0 | entailment |
(((s|s)&(~(s)|s))&~(~(((s>(s&s))&s)))) | (((s&(s&s))|s)>(~(((s>s)|(s|s)))&(s>s))) | 0 | 1 | 1 | 1 | not entailment |
~(s) | ((((s>s)|((s&s)>s))&s)&((s|(s|s))|(s>s))) | 0 | 0 | 1 | 0 | not entailment |
(s|s) | (s|((s>s)&s)) | 1 | 0 | 1 | 0 | entailment |
~((s&(((s&s)>s)>(s&s)))) | (s>~(((~(s)&s)>s))) | 1 | 1 | 1 | 1 | entailment |
(s|s) | (s>~(((~(s)&s)>s))) | 0 | 0 | 1 | 0 | not entailment |
~((s&(((s&s)>s)>(s&s)))) | (s|((s>s)&s)) | 0 | 1 | 1 | 1 | not entailment |
(s&s) | ((~(~(~(((s|s)|((s&s)>s)))))&s)|(s&s)) | 1 | 0 | 1 | 0 | entailment |
~((~(~((s>s)))>s)) | ((s>(s&~(s)))&((s>s)|s)) | 1 | 0 | 1 | 1 | entailment |
(s&s) | ((s>(s&~(s)))&((s>s)|s)) | 0 | 0 | 1 | 0 | not entailment |
~((~(~((s>s)))>s)) | ((~(~(~(((s|s)|((s&s)>s)))))&s)|(s&s)) | 0 | 0 | 1 | 1 | not entailment |
~(s) | ((s>~((s&s)))&((s>(s|s))>(s>s))) | 1 | 0 | 1 | 0 | entailment |
((s|(s&s))&((s&s)>(~(~(s))&s))) | (((s&(s&s))|s)&(s&s)) | 1 | 1 | 1 | 1 | entailment |
~(s) | (((s&(s&s))|s)&(s&s)) | 0 | 0 | 1 | 0 | not entailment |
((s|(s&s))&((s&s)>(~(~(s))&s))) | ((s>~((s&s)))&((s>(s|s))>(s>s))) | 0 | 1 | 1 | 1 | not entailment |
~((~(s)>((s|(s|s))|s))) | ((s>(s&(s|(s&(s>s)))))&~(((s|s)|s))) | 1 | 0 | 1 | 0 | entailment |
(((s|s)&s)&s) | ((s|s)&s) | 1 | 1 | 1 | 1 | entailment |
~((~(s)>((s|(s|s))|s))) | ((s|s)&s) | 0 | 1 | 1 | 0 | not entailment |
(((s|s)&s)&s) | ((s>(s&(s|(s&(s>s)))))&~(((s|s)|s))) | 0 | 0 | 1 | 0 | not entailment |
(x&z) | (((z>~(g))&g)>~((l>~(~(l))))) | 1 | 0 | 0 | 0 | entailment |
((x&i)&j) | (~((g|(j&b)))|i) | 1 | 0 | 0 | 0 | entailment |
(x&z) | (~((g|(j&b)))|i) | 0 | 0 | 0 | 0 | not entailment |
((x&i)&j) | (((z>~(g))&g)>~((l>~(~(l))))) | 0 | 0 | 0 | 0 | not entailment |
(b&~((((i|z)|b)>a))) | (a>i) | 1 | 1 | 1 | 1 | entailment |
(p&(b>(z&(i&b)))) | ~((~((l&i))&~(p))) | 1 | 0 | 0 | 0 | entailment |
(b&~((((i|z)|b)>a))) | ~((~((l&i))&~(p))) | 0 | 1 | 0 | 0 | not entailment |
(p&(b>(z&(i&b)))) | (a>i) | 0 | 1 | 0 | 0 | not entailment |
((j>(a|(~(i)|i)))&~((a>b))) | (p|a) | 1 | 1 | 0 | 0 | entailment |
~(((z>~((x|g)))|(g>(i>p)))) | (((l>i)|l)&((i&z)|~(((z|a)&(j|p))))) | 1 | 0 | 0 | 0 | entailment |
((j>(a|(~(i)|i)))&~((a>b))) | (((l>i)|l)&((i&z)|~(((z|a)&(j|p))))) | 0 | 0 | 0 | 0 | not entailment |
~(((z>~((x|g)))|(g>(i>p)))) | (p|a) | 0 | 1 | 0 | 0 | not entailment |
((x|l)&i) | (u|(b|~(~(~(~(i)))))) | 1 | 0 | 0 | 0 | entailment |
((z&x)&((l&(l>x))|b)) | ((((a&z)|~(p))&a)|(~(((x>a)&b))|(z|x))) | 1 | 0 | 0 | 0 | entailment |
((x|l)&i) | ((((a&z)|~(p))&a)|(~(((x>a)&b))|(z|x))) | 0 | 0 | 0 | 0 | not entailment |
((z&x)&((l&(l>x))|b)) | (u|(b|~(~(~(~(i)))))) | 0 | 0 | 0 | 0 | not entailment |
(~((i>(~((b&l))&(g>b))))&u) | (~(((p&j)>b))|((~(b)|(j>l))|a)) | 1 | 0 | 0 | 0 | entailment |
(j&p) | ((~((~(i)>p))|(i&z))>(z&j)) | 1 | 0 | 0 | 0 | entailment |
(~((i>(~((b&l))&(g>b))))&u) | ((~((~(i)>p))|(i&z))>(z&j)) | 0 | 1 | 0 | 0 | not entailment |
(j&p) | (~(((p&j)>b))|((~(b)|(j>l))|a)) | 0 | 0 | 0 | 0 | not entailment |
((x&a)&((u>l)>g)) | (~(a)>l) | 1 | 1 | 1 | 0 | entailment |
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