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 |
---|---|---|---|---|---|---|
(x&(f&(b|x))) | (f>z) | 0 | 1 | 0 | 0 | not entailment |
((x&q)&z) | ((b>f)|(((j|z)&j)|f)) | 0 | 0 | 0 | 0 | not entailment |
(z&j) | ((g>z)|~(((~(((z>x)>x))|~(~(z)))>x))) | 1 | 0 | 0 | 0 | entailment |
~((q|(j|j))) | ~(j) | 1 | 1 | 1 | 1 | entailment |
(z&j) | ~(j) | 0 | 1 | 1 | 0 | not entailment |
~((q|(j|j))) | ((g>z)|~(((~(((z>x)>x))|~(~(z)))>x))) | 0 | 0 | 0 | 0 | not entailment |
((~(h)>x)>~(~(~((g>g))))) | ((h&(~((b&(f&h)))&(h>b)))>q) | 1 | 1 | 0 | 0 | entailment |
(h&(z|q)) | (((f>x)|h)|(f&h)) | 1 | 0 | 0 | 0 | entailment |
((~(h)>x)>~(~(~((g>g))))) | (((f>x)|h)|(f&h)) | 0 | 1 | 0 | 0 | not entailment |
(h&(z|q)) | ((h&(~((b&(f&h)))&(h>b)))>q) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((x&x)|h)))) | ((z|(x>f))|h) | 1 | 1 | 0 | 0 | entailment |
~((~(g)&~((f&x)))) | ((x&~(g))|g) | 1 | 1 | 1 | 0 | entailment |
~(~(~(((x&x)|h)))) | ((x&~(g))|g) | 0 | 1 | 0 | 0 | not entailment |
~((~(g)&~((f&x)))) | ((z|(x>f))|h) | 0 | 1 | 0 | 0 | not entailment |
(((h&(z&g))|((~(z)|h)|(h&q)))&q) | (((b|b)&j)|q) | 1 | 1 | 0 | 0 | entailment |
~((((x|h)>z)>(h|z))) | ~((~((h>~((g>h))))&f)) | 1 | 0 | 0 | 0 | entailment |
(((h&(z&g))|((~(z)|h)|(h&q)))&q) | ~((~((h>~((g>h))))&f)) | 0 | 1 | 0 | 0 | not entailment |
~((((x|h)>z)>(h|z))) | (((b|b)&j)|q) | 0 | 1 | 0 | 0 | not entailment |
((~(h)&~(~(z)))&((z>x)|f)) | (f>~(~((q|z)))) | 1 | 1 | 0 | 0 | entailment |
((b&~(f))|b) | (h|b) | 1 | 1 | 0 | 0 | entailment |
((~(h)&~(~(z)))&((z>x)|f)) | (h|b) | 0 | 1 | 0 | 0 | not entailment |
((b&~(f))|b) | (f>~(~((q|z)))) | 0 | 0 | 0 | 0 | not entailment |
(f&x) | ~(~((z|((b|g)>f)))) | 1 | 0 | 0 | 0 | entailment |
(((h>f)|q)&~((((f|h)|(g|(f&z)))>h))) | (h>q) | 1 | 1 | 1 | 1 | entailment |
(f&x) | (h>q) | 0 | 1 | 0 | 0 | not entailment |
(((h>f)|q)&~((((f|h)|(g|(f&z)))>h))) | ~(~((z|((b|g)>f)))) | 0 | 1 | 0 | 0 | not entailment |
((z&z)&j) | (((h>z)|q)>~(~((f>(z|j))))) | 1 | 0 | 0 | 0 | entailment |
~((g|(h>j))) | ~((j&(~((f&(~(x)|(f|j))))>f))) | 1 | 0 | 0 | 0 | entailment |
((z&z)&j) | ~((j&(~((f&(~(x)|(f|j))))>f))) | 0 | 0 | 0 | 0 | not entailment |
~((g|(h>j))) | (((h>z)|q)>~(~((f>(z|j))))) | 0 | 0 | 0 | 0 | not entailment |
((((z>h)>f)&g)&q) | ((((h>q)&f)>(h>(j>h)))>g) | 1 | 0 | 0 | 0 | entailment |
~((~(x)>~(z))) | (((h&(j|h))>b)|~((h>(x&z)))) | 1 | 0 | 0 | 0 | entailment |
((((z>h)>f)&g)&q) | (((h&(j|h))>b)|~((h>(x&z)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(x)>~(z))) | ((((h>q)&f)>(h>(j>h)))>g) | 0 | 0 | 0 | 0 | not entailment |
(((b|g)|b)&(((z|z)>~((z|g)))>f)) | (((g|(f|(b&x)))|(q|z))|q) | 1 | 1 | 0 | 0 | entailment |
~(~(((j&(h>g))&(j|j)))) | (h>(b>g)) | 1 | 1 | 0 | 0 | entailment |
(((b|g)|b)&(((z|z)>~((z|g)))>f)) | (h>(b>g)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((j&(h>g))&(j|j)))) | (((g|(f|(b&x)))|(q|z))|q) | 0 | 1 | 0 | 0 | not entailment |
(q>h) | ((h|q)>h) | 1 | 0 | 1 | 0 | entailment |
(g&(z|((~(g)|j)|(q>j)))) | ((j&f)|g) | 1 | 1 | 0 | 0 | entailment |
(q>h) | ((j&f)|g) | 0 | 0 | 0 | 0 | not entailment |
(g&(z|((~(g)|j)|(q>j)))) | ((h|q)>h) | 0 | 1 | 0 | 0 | not entailment |
(b&h) | (b|(((q>z)|z)|g)) | 1 | 0 | 0 | 0 | entailment |
~((j>z)) | (z>g) | 1 | 1 | 0 | 0 | entailment |
(b&h) | (z>g) | 0 | 1 | 0 | 0 | not entailment |
~((j>z)) | (b|(((q>z)|z)|g)) | 0 | 0 | 0 | 0 | not entailment |
((x>h)&(j&(f&x))) | (z>f) | 1 | 1 | 0 | 0 | entailment |
((x&z)&(x&q)) | ((q|z)|g) | 1 | 1 | 0 | 0 | entailment |
((x>h)&(j&(f&x))) | ((q|z)|g) | 0 | 1 | 0 | 0 | not entailment |
((x&z)&(x&q)) | (z>f) | 0 | 1 | 0 | 0 | not entailment |
(~(((~(~(x))|x)|f))&~(~(h))) | (f>(q>~(g))) | 1 | 1 | 0 | 0 | entailment |
((z&f)&j) | ((z|g)>(x|j)) | 1 | 0 | 0 | 0 | entailment |
(~(((~(~(x))|x)|f))&~(~(h))) | ((z|g)>(x|j)) | 0 | 1 | 0 | 0 | not entailment |
((z&f)&j) | (f>(q>~(g))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~((u>p))))|((u>(p&s))&(u&o))) | (~(u)>(o|u)) | 1 | 1 | 1 | 1 | entailment |
(f&~((~(t)>((t|s)>p)))) | (((t&u)>(f>(s&v)))|v) | 1 | 1 | 0 | 0 | entailment |
(~(~(~((u>p))))|((u>(p&s))&(u&o))) | (((t&u)>(f>(s&v)))|v) | 0 | 1 | 0 | 0 | not entailment |
(f&~((~(t)>((t|s)>p)))) | (~(u)>(o|u)) | 0 | 1 | 0 | 0 | not entailment |
~((~(s)|(f|f))) | ~(((s|s)&~(((o&(s>t))|~((f&f)))))) | 1 | 0 | 0 | 0 | entailment |
(((t>t)>~(~(~(u))))|~((t|(f>(f>p))))) | (((s&v)>t)|(u>f)) | 1 | 1 | 0 | 0 | entailment |
~((~(s)|(f|f))) | (((s&v)>t)|(u>f)) | 0 | 1 | 0 | 0 | not entailment |
(((t>t)>~(~(~(u))))|~((t|(f>(f>p))))) | ~(((s|s)&~(((o&(s>t))|~((f&f)))))) | 0 | 1 | 0 | 0 | not entailment |
((s|~(o))&s) | (((p|p)|((f&o)|~(s)))>(((s&s)>s)&s)) | 1 | 0 | 0 | 0 | entailment |
((s|f)&v) | ((p&~((v&p)))>~((((o|u)>o)|((u>p)>f)))) | 1 | 0 | 0 | 0 | entailment |
((s|~(o))&s) | ((p&~((v&p)))>~((((o|u)>o)|((u>p)>f)))) | 0 | 0 | 0 | 0 | not entailment |
((s|f)&v) | (((p|p)|((f&o)|~(s)))>(((s&s)>s)&s)) | 0 | 0 | 0 | 0 | not entailment |
((((~(~(t))>t)|t)&s)&(u&f)) | ((s|t)|(~(((~(~(o))|(o&v))|(p>t)))>v)) | 1 | 0 | 0 | 0 | entailment |
(~(u)|((p|t)&p)) | (u>((t&t)>((t|~(t))&p))) | 1 | 0 | 1 | 0 | entailment |
((((~(~(t))>t)|t)&s)&(u&f)) | (u>((t&t)>((t|~(t))&p))) | 0 | 1 | 0 | 0 | not entailment |
(~(u)|((p|t)&p)) | ((s|t)|(~(((~(~(o))|(o&v))|(p>t)))>v)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((t|p)>v)))) | ~(((~(~((u|o)))>u)&v)) | 1 | 0 | 0 | 0 | entailment |
((v|f)&~(((~(s)>(f&s))>(v>f)))) | (o>((u|~((s>(f>(~(t)|p)))))>v)) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((t|p)>v)))) | (o>((u|~((s>(f>(~(t)|p)))))>v)) | 0 | 0 | 0 | 0 | not entailment |
((v|f)&~(((~(s)>(f&s))>(v>f)))) | ~(((~(~((u|o)))>u)&v)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(o))) | (o>(v>p)) | 1 | 1 | 0 | 0 | entailment |
~((f>u)) | (~((((f>o)>(o|(p|f)))&p))>(f&~((p&v)))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(o))) | (~((((f>o)>(o|(p|f)))&p))>(f&~((p&v)))) | 0 | 0 | 0 | 0 | not entailment |
~((f>u)) | (o>(v>p)) | 0 | 1 | 0 | 0 | not entailment |
~(~(t)) | ~(~((o>((v>u)>((u>v)|(p|t)))))) | 1 | 0 | 0 | 0 | entailment |
((u|f)&s) | (~((((u>p)&o)>v))>s) | 1 | 0 | 0 | 0 | entailment |
~(~(t)) | (~((((u>p)&o)>v))>s) | 0 | 0 | 0 | 0 | not entailment |
((u|f)&s) | ~(~((o>((v>u)>((u>v)|(p|t)))))) | 0 | 0 | 0 | 0 | not entailment |
~((v>(u|~((v>p))))) | ~(~(~((u&u)))) | 1 | 1 | 1 | 1 | entailment |
(f&((f&(s|o))&(t&~(s)))) | ((v|o)>f) | 1 | 1 | 0 | 0 | entailment |
~((v>(u|~((v>p))))) | ((v|o)>f) | 0 | 1 | 0 | 0 | not entailment |
(f&((f&(s|o))&(t&~(s)))) | ~(~(~((u&u)))) | 0 | 1 | 0 | 0 | not entailment |
~(~((f&~(u)))) | ((((~(o)&o)&(f>f))|t)|((s>u)|(v|f))) | 1 | 0 | 0 | 0 | entailment |
~((s>(u&t))) | ((o&(o|~(t)))>((s|~(o))|v)) | 1 | 0 | 0 | 0 | entailment |
~(~((f&~(u)))) | ((o&(o|~(t)))>((s|~(o))|v)) | 0 | 0 | 0 | 0 | not entailment |
~((s>(u&t))) | ((((~(o)&o)&(f>f))|t)|((s>u)|(v|f))) | 0 | 0 | 0 | 0 | not entailment |
((~((f>v))>p)>(s&~(s))) | (s>(~((f&(t&p)))>(p>t))) | 1 | 1 | 0 | 0 | entailment |
~((~((o|(v|f)))>~(~((p>u))))) | ~(u) | 1 | 1 | 1 | 1 | entailment |
((~((f>v))>p)>(s&~(s))) | ~(u) | 0 | 1 | 0 | 0 | not entailment |
~((~((o|(v|f)))>~(~((p>u))))) | (s>(~((f&(t&p)))>(p>t))) | 0 | 1 | 0 | 0 | not entailment |
~((((~((v|o))>(o|f))|(u>o))&~(p))) | (((v>s)|(v&p))|s) | 1 | 1 | 0 | 0 | entailment |
((((v>o)&((u>v)|o))&((v|u)>v))&u) | ((~(p)|~(~(~(t))))>((f|u)|u)) | 1 | 1 | 0 | 0 | entailment |
~((((~((v|o))>(o|f))|(u>o))&~(p))) | ((~(p)|~(~(~(t))))>((f|u)|u)) | 0 | 1 | 0 | 0 | not entailment |
((((v>o)&((u>v)|o))&((v|u)>v))&u) | (((v>s)|(v&p))|s) | 0 | 1 | 0 | 0 | not entailment |
~(~((~(u)|p))) | (((~((p&f))>(p&o))&f)|((f&u)>(f&t))) | 1 | 0 | 0 | 0 | entailment |
(((s>v)|((p|o)&u))>~((o>(o>o)))) | ~(v) | 1 | 1 | 1 | 1 | entailment |
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