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 |
|---|---|---|---|---|---|---|
(((p>p)|p)>d) | (~((p&~(d)))&(p>(p>d))) | 1 | 0 | 1 | 1 | entailment |
~((~((d|p))|~((d>p)))) | (~((~((~(d)|p))|(d&p)))|(p&d)) | 1 | 0 | 1 | 0 | entailment |
(((p>p)|p)>d) | (~((~((~(d)|p))|(d&p)))|(p&d)) | 0 | 0 | 1 | 0 | not entailment |
~((~((d|p))|~((d>p)))) | (~((p&~(d)))&(p>(p>d))) | 0 | 1 | 1 | 0 | not entailment |
(~((s>x))&(j>m)) | ((d&~(~(d)))>((m|~(x))>(t>s))) | 1 | 0 | 0 | 0 | entailment |
(((n&h)|s)&m) | (~(~((n&x)))|((j&(n&(m&d)))|m)) | 1 | 0 | 0 | 0 | entailment |
(~((s>x))&(j>m)) | (~(~((n&x)))|((j&(n&(m&d)))|m)) | 0 | 0 | 0 | 0 | not entailment |
(((n&h)|s)&m) | ((d&~(~(d)))>((m|~(x))>(t>s))) | 0 | 0 | 0 | 0 | not entailment |
(((~((h|d))>~((~(x)>x)))&(s&s))&t) | (j>((h&n)|s)) | 1 | 1 | 0 | 0 | entailment |
((j>n)&((d&m)|n)) | (~(j)>((h&~((~((~(m)>j))>(h&x))))>n)) | 1 | 0 | 0 | 0 | entailment |
(((~((h|d))>~((~(x)>x)))&(s&s))&t) | (~(j)>((h&~((~((~(m)>j))>(h&x))))>n)) | 0 | 0 | 0 | 0 | not entailment |
((j>n)&((d&m)|n)) | (j>((h&n)|s)) | 0 | 1 | 0 | 0 | not entailment |
~(~((~(d)&m))) | ~((t&~((m|(((n|t)&x)|s))))) | 1 | 0 | 0 | 0 | entailment |
(~((x|(h&t)))&t) | (~(~(~(~(~(t)))))>x) | 1 | 0 | 1 | 0 | entailment |
~(~((~(d)&m))) | (~(~(~(~(~(t)))))>x) | 0 | 0 | 0 | 0 | not entailment |
(~((x|(h&t)))&t) | ~((t&~((m|(((n|t)&x)|s))))) | 0 | 0 | 0 | 0 | not entailment |
~((n>((t|~(~((d>s))))>h))) | (((~(s)&(m>(s>h)))&(((n>n)>h)|m))>(j|m)) | 1 | 0 | 0 | 0 | entailment |
(~((t>d))&(((h>(d&((h|s)>d)))|h)>h)) | (t|(d>~(x))) | 1 | 1 | 0 | 0 | entailment |
~((n>((t|~(~((d>s))))>h))) | (t|(d>~(x))) | 0 | 1 | 0 | 0 | not entailment |
(~((t>d))&(((h>(d&((h|s)>d)))|h)>h)) | (((~(s)&(m>(s>h)))&(((n>n)>h)|m))>(j|m)) | 0 | 0 | 0 | 0 | not entailment |
(~(~(((t>(h>t))&t)))|((m&(d>x))&t)) | (~((((j&n)&d)|n))>(t|j)) | 1 | 1 | 0 | 0 | entailment |
((m>s)>(m|s)) | (d|(m|s)) | 1 | 1 | 0 | 0 | entailment |
(~(~(((t>(h>t))&t)))|((m&(d>x))&t)) | (d|(m|s)) | 0 | 1 | 0 | 0 | not entailment |
((m>s)>(m|s)) | (~((((j&n)&d)|n))>(t|j)) | 0 | 0 | 0 | 0 | not entailment |
((d&((x|m)|d))&(~(~(h))>((s|(s>t))&x))) | ((m&~((~((x>(s>j)))>((d&d)|m))))|d) | 1 | 1 | 0 | 0 | entailment |
(m|m) | (x|(t>m)) | 1 | 0 | 0 | 0 | entailment |
((d&((x|m)|d))&(~(~(h))>((s|(s>t))&x))) | (x|(t>m)) | 0 | 1 | 1 | 0 | not entailment |
(m|m) | ((m&~((~((x>(s>j)))>((d&d)|m))))|d) | 0 | 0 | 0 | 0 | not entailment |
(((x|(s>t))>d)&(~(n)&(d>s))) | (~((~((s&s))>d))>h) | 1 | 1 | 0 | 0 | entailment |
(((~(x)>(n&d))&x)&(((d&t)&d)>(d&j))) | ((x|(n&s))|(d>m)) | 1 | 1 | 0 | 0 | entailment |
(((x|(s>t))>d)&(~(n)&(d>s))) | ((x|(n&s))|(d>m)) | 0 | 1 | 0 | 0 | not entailment |
(((~(x)>(n&d))&x)&(((d&t)&d)>(d&j))) | (~((~((s&s))>d))>h) | 0 | 1 | 0 | 0 | not entailment |
~(((s|~(n))|(~((m|m))|(j>x)))) | ((x>(n&(j&m)))&(m|(j|x))) | 1 | 1 | 1 | 0 | entailment |
((m&d)&n) | (d|h) | 1 | 1 | 0 | 0 | entailment |
~(((s|~(n))|(~((m|m))|(j>x)))) | (d|h) | 0 | 1 | 0 | 0 | not entailment |
((m&d)&n) | ((x>(n&(j&m)))&(m|(j|x))) | 0 | 0 | 0 | 0 | not entailment |
(t&(s>j)) | ((x>t)|((t|d)|(x>t))) | 1 | 0 | 0 | 0 | entailment |
(n&(((h>x)>d)>((d&(m&d))>(d&(x&h))))) | ((d&d)>(~((s>~(m)))|(((x|j)&t)>n))) | 1 | 1 | 0 | 0 | entailment |
(t&(s>j)) | ((d&d)>(~((s>~(m)))|(((x|j)&t)>n))) | 0 | 0 | 0 | 0 | not entailment |
(n&(((h>x)>d)>((d&(m&d))>(d&(x&h))))) | ((x>t)|((t|d)|(x>t))) | 0 | 1 | 0 | 0 | not entailment |
((t&s)&(h&x)) | ~(~(((h&(m|s))&s))) | 1 | 0 | 0 | 0 | entailment |
~((((h|t)>n)|m)) | ((n&((d>h)|x))>~((((d>j)>d)&~(j)))) | 1 | 0 | 0 | 0 | entailment |
((t&s)&(h&x)) | ((n&((d>h)|x))>~((((d>j)>d)&~(j)))) | 0 | 0 | 0 | 0 | not entailment |
~((((h|t)>n)|m)) | ~(~(((h&(m|s))&s))) | 0 | 0 | 0 | 0 | not entailment |
(((j&j)>~(((t>h)>n)))&(~((h>j))|(m>j))) | (((j>(((s&n)|m)&x))|((n>x)|h))|m) | 1 | 1 | 0 | 0 | entailment |
((s|((~((d&(h>n)))&t)&j))&~(~(d))) | ((x>x)>d) | 1 | 1 | 0 | 0 | entailment |
(((j&j)>~(((t>h)>n)))&(~((h>j))|(m>j))) | ((x>x)>d) | 0 | 1 | 0 | 0 | not entailment |
((s|((~((d&(h>n)))&t)&j))&~(~(d))) | (((j>(((s&n)|m)&x))|((n>x)|h))|m) | 0 | 1 | 0 | 0 | not entailment |
~(m) | ((x|((n&n)&~(((h>h)|t))))|((m>(h&j))|s)) | 1 | 0 | 0 | 0 | entailment |
~(~(((((h|~(s))|s)|x)&~((~(s)>x))))) | ((~(~(d))|~(x))|n) | 1 | 1 | 0 | 0 | entailment |
~(m) | ((~(~(d))|~(x))|n) | 0 | 0 | 0 | 0 | not entailment |
~(~(((((h|~(s))|s)|x)&~((~(s)>x))))) | ((x|((n&n)&~(((h>h)|t))))|((m>(h&j))|s)) | 0 | 1 | 0 | 0 | not entailment |
(~(m)&s) | (((d&(s|s))>~(m))|((n>(x&~(j)))>t)) | 1 | 0 | 0 | 0 | entailment |
~(~(~(~(~(~((m&(m&(d&(s>n)))))))))) | (h>(d&d)) | 1 | 1 | 0 | 0 | entailment |
(~(m)&s) | (h>(d&d)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(~(~(~((m&(m&(d&(s>n)))))))))) | (((d&(s|s))>~(m))|((n>(x&~(j)))>t)) | 0 | 1 | 0 | 0 | not entailment |
(~((~(d)&j))&j) | (t>((~((d&d))&(m>t))>(~(n)>~(s)))) | 1 | 0 | 0 | 0 | entailment |
(t|(j&t)) | ((s&((s&d)&(n>(x|d))))>(t|t)) | 1 | 0 | 0 | 0 | entailment |
(~((~(d)&j))&j) | ((s&((s&d)&(n>(x|d))))>(t|t)) | 0 | 0 | 0 | 0 | not entailment |
(t|(j&t)) | (t>((~((d&d))&(m>t))>(~(n)>~(s)))) | 0 | 0 | 0 | 0 | not entailment |
(m&(s>d)) | ((n|m)&(h|m)) | 1 | 0 | 0 | 0 | entailment |
~(((((j>d)>t)|(~((d>d))&(x|j)))>t)) | ((d&n)|((~(d)|h)>(j&j))) | 1 | 1 | 0 | 0 | entailment |
(m&(s>d)) | ((d&n)|((~(d)|h)>(j&j))) | 0 | 0 | 0 | 0 | not entailment |
~(((((j>d)>t)|(~((d>d))&(x|j)))>t)) | ((n|m)&(h|m)) | 0 | 1 | 0 | 0 | not entailment |
(j&((n&n)&(~((m>n))|m))) | (~(j)>(h|(x>m))) | 1 | 1 | 0 | 0 | entailment |
((x>s)&(~(t)&((n>(t&d))&s))) | (x>(s|d)) | 1 | 1 | 1 | 1 | entailment |
(j&((n&n)&(~((m>n))|m))) | (x>(s|d)) | 0 | 1 | 0 | 0 | not entailment |
((x>s)&(~(t)&((n>(t&d))&s))) | (~(j)>(h|(x>m))) | 0 | 1 | 0 | 0 | not entailment |
~(~((z|f))) | ((f|(f|f))|(z|f)) | 1 | 0 | 1 | 1 | entailment |
~((~(f)&~((f|~(((z|z)|(f|(z&f)))))))) | (z>f) | 1 | 1 | 1 | 1 | entailment |
~(~((z|f))) | (z>f) | 0 | 1 | 1 | 0 | not entailment |
~((~(f)&~((f|~(((z|z)|(f|(z&f)))))))) | ((f|(f|f))|(z|f)) | 0 | 1 | 1 | 0 | not entailment |
~(z) | ((z>f)&((f>(z>z))|(~(~(f))|z))) | 1 | 0 | 0 | 0 | entailment |
(((f>(z|f))>~(((f>z)&z)))>z) | (z|~(f)) | 1 | 1 | 1 | 1 | entailment |
~(z) | (z|~(f)) | 0 | 0 | 0 | 0 | not entailment |
(((f>(z|f))>~(((f>z)&z)))>z) | ((z>f)&((f>(z>z))|(~(~(f))|z))) | 0 | 0 | 1 | 0 | not entailment |
((z&f)&f) | ((z>f)>f) | 1 | 1 | 1 | 0 | entailment |
(~((f|f))|~(f)) | ~((f&(~(z)|f))) | 1 | 1 | 0 | 0 | entailment |
((z&f)&f) | ~((f&(~(z)|f))) | 0 | 0 | 1 | 0 | not entailment |
(~((f|f))|~(f)) | ((z>f)>f) | 0 | 1 | 0 | 0 | not entailment |
(((z|f)|z)>f) | ((~(~(((~((z>z))&f)|z)))&z)>(z>(f|f))) | 1 | 0 | 1 | 0 | entailment |
(z&(z&~(~(~(f))))) | ~(((f>f)>(f&f))) | 1 | 1 | 1 | 0 | entailment |
(((z|f)|z)>f) | ~(((f>f)>(f&f))) | 0 | 0 | 1 | 1 | not entailment |
(z&(z&~(~(~(f))))) | ((~(~(((~((z>z))&f)|z)))&z)>(z>(f|f))) | 0 | 0 | 1 | 0 | not entailment |
((z>z)>(f&z)) | (~(f)|z) | 1 | 1 | 1 | 0 | entailment |
~(~((~((z|~(z)))|~((f>z))))) | (((z|z)|(f>~(f)))>~(~((f&~(f))))) | 1 | 0 | 1 | 0 | entailment |
((z>z)>(f&z)) | (((z|z)|(f>~(f)))>~(~((f&~(f))))) | 0 | 0 | 1 | 0 | not entailment |
~(~((~((z|~(z)))|~((f>z))))) | (~(f)|z) | 0 | 1 | 1 | 0 | not entailment |
(f&~((z&z))) | (f|f) | 1 | 1 | 1 | 1 | entailment |
(~((~(f)&z))>z) | ((f&(((z|z)>~(z))>(~(f)|z)))|z) | 1 | 0 | 1 | 0 | entailment |
(f&~((z&z))) | ((f&(((z|z)>~(z))>(~(f)|z)))|z) | 0 | 0 | 1 | 0 | not entailment |
(~((~(f)&z))>z) | (f|f) | 0 | 1 | 1 | 0 | not entailment |
(f&~(z)) | ((f&z)|((f&z)|f)) | 1 | 0 | 1 | 0 | entailment |
~((~((z>f))|f)) | ((f>z)&(z>((z>f)|f))) | 1 | 0 | 1 | 0 | entailment |
(f&~(z)) | ((f>z)&(z>((z>f)|f))) | 0 | 0 | 1 | 0 | not entailment |
~((~((z>f))|f)) | ((f&z)|((f&z)|f)) | 0 | 1 | 1 | 0 | not entailment |
(f>~(f)) | (((f>z)&z)>~((z>((f|f)&z)))) | 1 | 0 | 0 | 0 | entailment |
(z&~(~(((f>z)>f)))) | (((z|(z>z))&(z>z))>f) | 1 | 1 | 1 | 1 | entailment |
(f>~(f)) | (((z|(z>z))&(z>z))>f) | 0 | 0 | 0 | 0 | not entailment |
(z&~(~(((f>z)>f)))) | (((f>z)&z)>~((z>((f|f)&z)))) | 0 | 0 | 1 | 0 | not entailment |
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