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>h)|n)|t)&j)&(n|t)) | (((h&h)>(h|(j>n)))>n) | 0 | 1 | 1 | 0 | not entailment |
(t&((t&j)|(h>n))) | (~(t)>(h>(h>n))) | 1 | 1 | 1 | 1 | entailment |
((n>t)&~(~(j))) | (j&((((n|(t&t))>t)|j)|(j|~(~(n))))) | 1 | 0 | 1 | 0 | entailment |
(t&((t&j)|(h>n))) | (j&((((n|(t&t))>t)|j)|(j|~(~(n))))) | 0 | 0 | 1 | 0 | not entailment |
((n>t)&~(~(j))) | (~(t)>(h>(h>n))) | 0 | 1 | 0 | 0 | not entailment |
(h|(h&n)) | ((t|t)|((j|h)|((n>j)>n))) | 1 | 0 | 0 | 0 | entailment |
~((((j|h)|(((n&~(h))|n)|(j|j)))|t)) | ~(((~((h>n))|(~(j)>h))|(t|(j|t)))) | 1 | 1 | 1 | 0 | entailment |
(h|(h&n)) | ~(((~((h>n))|(~(j)>h))|(t|(j|t)))) | 0 | 0 | 0 | 0 | not entailment |
~((((j|h)|(((n&~(h))|n)|(j|j)))|t)) | ((t|t)|((j|h)|((n>j)>n))) | 0 | 1 | 1 | 0 | not entailment |
((n>j)&n) | (((~(t)&((h&(t>h))>((n>n)|n)))>t)|j) | 1 | 0 | 0 | 0 | entailment |
~((t|~(~(~((h>~(n))))))) | ~((((n&t)&(j|t))&(j>((h|(t|j))|n)))) | 1 | 0 | 0 | 0 | entailment |
((n>j)&n) | ~((((n&t)&(j|t))&(j>((h|(t|j))|n)))) | 0 | 0 | 0 | 0 | not entailment |
~((t|~(~(~((h>~(n))))))) | (((~(t)&((h&(t>h))>((n>n)|n)))>t)|j) | 0 | 0 | 0 | 0 | not entailment |
(h&~(((t|(h|n))>~(t)))) | ((n>t)|h) | 1 | 1 | 1 | 0 | entailment |
((n&(j>j))&((j|j)>(n>~(n)))) | ((j>n)&n) | 1 | 1 | 1 | 1 | entailment |
(h&~(((t|(h|n))>~(t)))) | ((j>n)&n) | 0 | 1 | 0 | 0 | not entailment |
((n&(j>j))&((j|j)>(n>~(n)))) | ((n>t)|h) | 0 | 1 | 0 | 0 | not entailment |
(((~(n)&~(h))>(t>~(n)))&((h|j)&(h>j))) | (~(((j>~(n))>n))|((n>t)|j)) | 1 | 1 | 1 | 0 | entailment |
(~((t|t))&(h>~((n>t)))) | (~(((t&h)>n))>n) | 1 | 1 | 1 | 1 | entailment |
(((~(n)&~(h))>(t>~(n)))&((h|j)&(h>j))) | (~(((t&h)>n))>n) | 0 | 1 | 1 | 1 | not entailment |
(~((t|t))&(h>~((n>t)))) | (~(((j>~(n))>n))|((n>t)|j)) | 0 | 0 | 0 | 0 | not entailment |
(j&~((h&~(~(~(h)))))) | (j|((~(t)>((n|(j&t))&h))&t)) | 1 | 0 | 0 | 0 | entailment |
(~(j)&n) | (h>n) | 1 | 1 | 0 | 0 | entailment |
(j&~((h&~(~(~(h)))))) | (h>n) | 0 | 1 | 0 | 0 | not entailment |
(~(j)&n) | (j|((~(t)>((n|(j&t))&h))&t)) | 0 | 0 | 0 | 0 | not entailment |
~(~((((s|(j&(s&(w>j))))|s)&~((u>l))))) | (u|((s|j)|((s|l)>n))) | 1 | 1 | 0 | 0 | entailment |
~((~((((j|n)|(w&j))|j))>~((d&l)))) | ~((~(l)|j)) | 1 | 1 | 1 | 1 | entailment |
~(~((((s|(j&(s&(w>j))))|s)&~((u>l))))) | ~((~(l)|j)) | 0 | 1 | 1 | 0 | not entailment |
~((~((((j|n)|(w&j))|j))>~((d&l)))) | (u|((s|j)|((s|l)>n))) | 0 | 1 | 0 | 0 | not entailment |
(u&n) | (((j&(((u>u)>j)>f))|n)&n) | 1 | 0 | 0 | 0 | entailment |
~((~(((d&u)|(u>s)))>((j|n)|((j|l)&f)))) | (n>(l&((w|n)|l))) | 1 | 1 | 0 | 0 | entailment |
(u&n) | (n>(l&((w|n)|l))) | 0 | 0 | 0 | 0 | not entailment |
~((~(((d&u)|(u>s)))>((j|n)|((j|l)&f)))) | (((j&(((u>u)>j)>f))|n)&n) | 0 | 1 | 1 | 0 | not entailment |
((s|(n&~(~(j))))&n) | (((f>n)|(s>l))|((l|~(w))|n)) | 1 | 0 | 0 | 0 | entailment |
(w>~((d|(d|~(f))))) | ~((~(f)&w)) | 1 | 1 | 1 | 1 | entailment |
((s|(n&~(~(j))))&n) | ~((~(f)&w)) | 0 | 1 | 0 | 0 | not entailment |
(w>~((d|(d|~(f))))) | (((f>n)|(s>l))|((l|~(w))|n)) | 0 | 0 | 0 | 0 | not entailment |
(((~(~(w))|f)|(f&d))&(n|~(d))) | ~((~((d>n))&((~(n)&(n&n))>~((l>s))))) | 1 | 0 | 0 | 0 | entailment |
(~(f)&(u&j)) | (~(w)|((n>n)&u)) | 1 | 0 | 0 | 0 | entailment |
(((~(~(w))|f)|(f&d))&(n|~(d))) | (~(w)|((n>n)&u)) | 0 | 1 | 0 | 0 | not entailment |
(~(f)&(u&j)) | ~((~((d>n))&((~(n)&(n&n))>~((l>s))))) | 0 | 0 | 0 | 0 | not entailment |
~(d) | (((w>w)|w)&(((f>l)|(d>(j|w)))|(n|w))) | 1 | 0 | 0 | 0 | entailment |
~((n|u)) | ~((u|u)) | 1 | 1 | 1 | 1 | entailment |
~(d) | ~((u|u)) | 0 | 0 | 0 | 0 | not entailment |
~((n|u)) | (((w>w)|w)&(((f>l)|(d>(j|w)))|(n|w))) | 0 | 0 | 0 | 0 | not entailment |
(w&(s>~(n))) | ((w|(~(~(d))|d))|(l>((s>l)&(s|s)))) | 1 | 0 | 0 | 0 | entailment |
(f&(s>d)) | ((f|n)|~(((j&~(j))>(d|u)))) | 1 | 0 | 0 | 0 | entailment |
(w&(s>~(n))) | ((f|n)|~(((j&~(j))>(d|u)))) | 0 | 0 | 0 | 0 | not entailment |
(f&(s>d)) | ((w|(~(~(d))|d))|(l>((s>l)&(s|s)))) | 0 | 0 | 0 | 0 | not entailment |
~((s>((w|n)>u))) | ((((d>j)&(d|w))>j)>s) | 1 | 0 | 0 | 0 | entailment |
((~((u|l))>((n>l)>(f>j)))&(d&(d&f))) | (~((d>((l|(~(n)|f))&(u&n))))|d) | 1 | 1 | 1 | 0 | entailment |
~((s>((w|n)>u))) | (~((d>((l|(~(n)|f))&(u&n))))|d) | 0 | 0 | 0 | 0 | not entailment |
((~((u|l))>((n>l)>(f>j)))&(d&(d&f))) | ((((d>j)&(d|w))>j)>s) | 0 | 1 | 0 | 0 | not entailment |
(~(u)&((n&l)|((n&f)&u))) | ((~(j)&d)|(~(l)>(n&(~(l)|n)))) | 1 | 0 | 0 | 0 | entailment |
((n>f)&w) | ((n>f)&(((j&~(n))&u)|w)) | 1 | 0 | 0 | 0 | entailment |
(~(u)&((n&l)|((n&f)&u))) | ((n>f)&(((j&~(n))&u)|w)) | 0 | 1 | 0 | 0 | not entailment |
((n>f)&w) | ((~(j)&d)|(~(l)>(n&(~(l)|n)))) | 0 | 0 | 0 | 0 | not entailment |
((j&~((w&w)))>w) | ((((n|f)>s)>(u>w))|(l|~((j&s)))) | 1 | 0 | 0 | 0 | entailment |
(~((j>~(d)))&~(((d&n)>l))) | ((d&((j|l)|d))&(((l>s)>~(~(w)))|(l|j))) | 1 | 0 | 0 | 0 | entailment |
((j&~((w&w)))>w) | ((d&((j|l)|d))&(((l>s)>~(~(w)))|(l|j))) | 0 | 0 | 0 | 0 | not entailment |
(~((j>~(d)))&~(((d&n)>l))) | ((((n|f)>s)>(u>w))|(l|~((j&s)))) | 0 | 0 | 0 | 0 | not entailment |
(l|l) | (~(~((f>l)))|(j>~((n>d)))) | 1 | 0 | 0 | 0 | entailment |
~((l|((((u|j)&l)&~((f>n)))|(n|w)))) | (s|((j&l)>(n&l))) | 1 | 1 | 0 | 0 | entailment |
(l|l) | (s|((j&l)>(n&l))) | 0 | 0 | 0 | 0 | not entailment |
~((l|((((u|j)&l)&~((f>n)))|(n|w)))) | (~(~((f>l)))|(j>~((n>d)))) | 0 | 1 | 0 | 0 | not entailment |
(u&s) | ~(~((~((((s|j)|s)|((u&l)&d)))>w))) | 1 | 0 | 0 | 0 | entailment |
(u>(d&(~(~(((s|s)&(w|f))))&~((s|u))))) | (~((u>(s&w)))>~(((w>f)>n))) | 1 | 1 | 0 | 0 | entailment |
(u&s) | (~((u>(s&w)))>~(((w>f)>n))) | 0 | 0 | 0 | 0 | not entailment |
(u>(d&(~(~(((s|s)&(w|f))))&~((s|u))))) | ~(~((~((((s|j)|s)|((u&l)&d)))>w))) | 0 | 1 | 0 | 0 | not entailment |
((~(l)&(d>j))|~((((j|d)|(n>s))>l))) | (((s|f)&((l>(~((n>s))&d))&f))|(f>(w&l))) | 1 | 0 | 0 | 0 | entailment |
((j&(s&j))&((d|w)>(j|w))) | ~(~((((j|f)&(~((w>f))|s))&(l|j)))) | 1 | 0 | 0 | 0 | entailment |
((~(l)&(d>j))|~((((j|d)|(n>s))>l))) | ~(~((((j|f)&(~((w>f))|s))&(l|j)))) | 0 | 1 | 0 | 0 | not entailment |
((j&(s&j))&((d|w)>(j|w))) | (((s|f)&((l>(~((n>s))&d))&f))|(f>(w&l))) | 0 | 0 | 0 | 0 | not entailment |
~((((w&l)&w)>~(((f&d)&f)))) | (s|d) | 1 | 1 | 0 | 0 | entailment |
~((n|~(((l|(l|~(j)))>(j&u))))) | (n>j) | 1 | 1 | 1 | 1 | entailment |
~((((w&l)&w)>~(((f&d)&f)))) | (n>j) | 0 | 1 | 0 | 0 | not entailment |
~((n|~(((l|(l|~(j)))>(j&u))))) | (s|d) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((~(((s&f)>(x|g)))>((g|s)&g))))) | (((f|f)|f)&(f|(g>f))) | 1 | 1 | 1 | 1 | entailment |
((f|g)&(~((g&(f&(x&g))))&((x|x)&~(s)))) | ~(~(((~(s)|f)>(s>g)))) | 1 | 1 | 1 | 0 | entailment |
~(~(~((~(((s&f)>(x|g)))>((g|s)&g))))) | ~(~(((~(s)|f)>(s>g)))) | 0 | 1 | 1 | 0 | not entailment |
((f|g)&(~((g&(f&(x&g))))&((x|x)&~(s)))) | (((f|f)|f)&(f|(g>f))) | 0 | 1 | 1 | 1 | not entailment |
((x|~(f))&(s&f)) | (x|~(((g>x)&~(g)))) | 1 | 0 | 0 | 0 | entailment |
~(((g&~(~((s>s))))|x)) | ~((x&((x&f)|~(~(~((s&g))))))) | 1 | 0 | 0 | 0 | entailment |
((x|~(f))&(s&f)) | ~((x&((x&f)|~(~(~((s&g))))))) | 0 | 0 | 0 | 0 | not entailment |
~(((g&~(~((s>s))))|x)) | (x|~(((g>x)&~(g)))) | 0 | 1 | 1 | 0 | not entailment |
(((x&g)|~((x>f)))&(x>x)) | (x&((x|(x>f))>x)) | 1 | 1 | 1 | 1 | entailment |
(f|f) | (((g>f)|(x&f))|s) | 1 | 0 | 0 | 0 | entailment |
(((x&g)|~((x>f)))&(x>x)) | (((g>f)|(x&f))|s) | 0 | 1 | 0 | 0 | not entailment |
(f|f) | (x&((x|(x>f))>x)) | 0 | 0 | 0 | 0 | not entailment |
((f&x)&g) | ((((g>(x>g))&f)|s)>(x&g)) | 1 | 0 | 0 | 0 | entailment |
((f|s)&s) | ~(~(((x>s)&s))) | 1 | 0 | 0 | 0 | entailment |
((f&x)&g) | ~(~(((x>s)&s))) | 0 | 0 | 0 | 0 | not entailment |
((f|s)&s) | ((((g>(x>g))&f)|s)>(x&g)) | 0 | 0 | 0 | 0 | not entailment |
~((((g>x)&f)|~((g&((s>f)&s))))) | ~(~((s|((g>x)&~(~(f)))))) | 1 | 1 | 1 | 0 | entailment |
(((((x>f)|(f&s))&s)|x)&~((f|s))) | (((g&f)|~(x))>~(((g&f)>s))) | 1 | 1 | 0 | 0 | entailment |
~((((g>x)&f)|~((g&((s>f)&s))))) | (((g&f)|~(x))>~(((g&f)>s))) | 0 | 1 | 1 | 0 | not entailment |
(((((x>f)|(f&s))&s)|x)&~((f|s))) | ~(~((s|((g>x)&~(~(f)))))) | 0 | 1 | 0 | 0 | not entailment |
(~((g&g))|~(g)) | ((~(g)&x)|(f|~((f|~((x|~(g))))))) | 1 | 0 | 0 | 0 | entailment |
(g&((~(s)&s)|(g>(~(f)&((~(x)&g)>s))))) | ~(((~(x)&(s|f))&((x|s)>(~(x)&x)))) | 1 | 1 | 1 | 0 | entailment |
(~((g&g))|~(g)) | ~(((~(x)&(s|f))&((x|s)>(~(x)&x)))) | 0 | 0 | 0 | 0 | not entailment |
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