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 |
|---|---|---|---|---|---|---|
~((s>o)) | (((~(u)&~(o))&(~(o)|(s>s)))>(h>(r|n))) | 0 | 0 | 0 | 0 | not entailment |
~((h|~((~(u)&~(s))))) | (((s>n)|~(h))|(~(x)&(n>j))) | 1 | 0 | 0 | 0 | entailment |
(~(~(~(((r>u)&(((r&h)&j)>r)))))&s) | (r&s) | 1 | 1 | 1 | 1 | entailment |
~((h|~((~(u)&~(s))))) | (r&s) | 0 | 1 | 0 | 0 | not entailment |
(~(~(~(((r>u)&(((r&h)&j)>r)))))&s) | (((s>n)|~(h))|(~(x)&(n>j))) | 0 | 1 | 0 | 0 | not entailment |
(~(((a|b)>u))&((a&x)>a)) | ((b|(~(j)|a))|~(u)) | 1 | 1 | 0 | 0 | entailment |
((~(~(h))&j)&x) | (((o>h)|x)|((h>n)&(x|((h>r)>n)))) | 1 | 0 | 0 | 0 | entailment |
(~(((a|b)>u))&((a&x)>a)) | (((o>h)|x)|((h>n)&(x|((h>r)>n)))) | 0 | 0 | 0 | 0 | not entailment |
((~(~(h))&j)&x) | ((b|(~(j)|a))|~(u)) | 0 | 0 | 0 | 0 | not entailment |
~((((a|u)|j)|(s|(~(a)&b)))) | (s>r) | 1 | 1 | 0 | 0 | entailment |
(~(~(((j&s)>s)))&(~((s&x))&(s&a))) | ~(((x>o)>~((a>a)))) | 1 | 1 | 0 | 0 | entailment |
~((((a|u)|j)|(s|(~(a)&b)))) | ~(((x>o)>~((a>a)))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(((j&s)>s)))&(~((s&x))&(s&a))) | (s>r) | 0 | 1 | 0 | 0 | not entailment |
((s&((a|j)&~(a)))&~(~((h|r)))) | (x>(((s|s)&x)|~(u))) | 1 | 1 | 0 | 0 | entailment |
~(~(~((r>j)))) | (((o>b)|a)>(r|b)) | 1 | 1 | 0 | 0 | entailment |
((s&((a|j)&~(a)))&~(~((h|r)))) | (((o>b)|a)>(r|b)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((r>j)))) | (x>(((s|s)&x)|~(u))) | 0 | 0 | 0 | 0 | not entailment |
~((u|o)) | ~((n&(~((u|(x>b)))&((n|a)&(j&o))))) | 1 | 0 | 0 | 0 | entailment |
~((((o>x)|a)&h)) | ~(~(~(((h&(b&x))&x)))) | 1 | 0 | 0 | 0 | entailment |
~((u|o)) | ~(~(~(((h&(b&x))&x)))) | 0 | 0 | 0 | 0 | not entailment |
~((((o>x)|a)&h)) | ~((n&(~((u|(x>b)))&((n|a)&(j&o))))) | 0 | 0 | 0 | 0 | not entailment |
~((s|u)) | (s>(((j&r)|(x|b))|~(((r|j)>r)))) | 1 | 0 | 0 | 0 | entailment |
~(j) | ~((j&(o>~(~(s))))) | 1 | 0 | 0 | 0 | entailment |
~((s|u)) | ~((j&(o>~(~(s))))) | 0 | 0 | 0 | 0 | not entailment |
~(j) | (s>(((j&r)|(x|b))|~(((r|j)>r)))) | 0 | 0 | 0 | 0 | not entailment |
~(((r&f)>((~(n)&d)&(~(d)>(~(f)&t))))) | ((~(t)>r)|(t&(n>((d&~((t>t)))&~(a))))) | 1 | 1 | 0 | 0 | entailment |
~(((n>t)|(a|(~(f)|t)))) | ~((f>(((n>a)>n)>(a&~(a))))) | 1 | 0 | 1 | 0 | entailment |
~(((r&f)>((~(n)&d)&(~(d)>(~(f)&t))))) | ~((f>(((n>a)>n)>(a&~(a))))) | 0 | 1 | 0 | 0 | not entailment |
~(((n>t)|(a|(~(f)|t)))) | ((~(t)>r)|(t&(n>((d&~((t>t)))&~(a))))) | 0 | 0 | 0 | 0 | not entailment |
~(((((r|f)&r)>(n|f))|d)) | ~(((n&n)&d)) | 1 | 1 | 1 | 1 | entailment |
~(((t&f)>~((n&(d>(r&t)))))) | (((~(n)>(f&d))>a)>(a|f)) | 1 | 1 | 0 | 0 | entailment |
~(((((r|f)&r)>(n|f))|d)) | (((~(n)>(f&d))>a)>(a|f)) | 0 | 1 | 0 | 0 | not entailment |
~(((t&f)>~((n&(d>(r&t)))))) | ~(((n&n)&d)) | 0 | 1 | 1 | 0 | not entailment |
((a&~((r>t)))&((f>(n>f))>(f|f))) | ((((n&t)>t)|~(d))&((n|~(~(f)))>(t|f))) | 1 | 0 | 0 | 0 | entailment |
(n&(r|n)) | ((n|((a|r)&n))|t) | 1 | 0 | 0 | 0 | entailment |
((a&~((r>t)))&((f>(n>f))>(f|f))) | ((n|((a|r)&n))|t) | 0 | 1 | 1 | 0 | not entailment |
(n&(r|n)) | ((((n&t)>t)|~(d))&((n|~(~(f)))>(t|f))) | 0 | 0 | 0 | 0 | not entailment |
~(((((~((n&(n&d)))|d)>r)&n)>(~(f)|d))) | ~(~((r&f))) | 1 | 1 | 1 | 1 | entailment |
(n&(n>(f&(a&(t&t))))) | ((a|~(t))|(r>d)) | 1 | 1 | 0 | 0 | entailment |
~(((((~((n&(n&d)))|d)>r)&n)>(~(f)|d))) | ((a|~(t))|(r>d)) | 0 | 1 | 0 | 0 | not entailment |
(n&(n>(f&(a&(t&t))))) | ~(~((r&f))) | 0 | 1 | 0 | 0 | not entailment |
~(((a&f)|(r|((f&f)>r)))) | (f|(r>f)) | 1 | 1 | 1 | 1 | entailment |
~(~((a&d))) | (d|a) | 1 | 1 | 1 | 1 | entailment |
~(((a&f)|(r|((f&f)>r)))) | (d|a) | 0 | 1 | 0 | 0 | not entailment |
~(~((a&d))) | (f|(r>f)) | 0 | 1 | 0 | 0 | not entailment |
((t&~(~(n)))&(r|((n>~(t))&a))) | ((n&n)|~(~((f&~(r))))) | 1 | 1 | 0 | 0 | entailment |
((f>t)&~((r|t))) | (~(~(~(~((((r&d)&r)|f)))))>(t>~(r))) | 1 | 0 | 0 | 0 | entailment |
((t&~(~(n)))&(r|((n>~(t))&a))) | (~(~(~(~((((r&d)&r)|f)))))>(t>~(r))) | 0 | 0 | 0 | 0 | not entailment |
((f>t)&~((r|t))) | ((n&n)|~(~((f&~(r))))) | 0 | 0 | 0 | 0 | not entailment |
~((~((((d|t)&n)&~(f)))&a)) | (t>((a>~(a))|(r>n))) | 1 | 1 | 0 | 0 | entailment |
~(d) | ((t|r)>(a>((d|d)>r))) | 1 | 0 | 0 | 0 | entailment |
~((~((((d|t)&n)&~(f)))&a)) | ((t|r)>(a>((d|d)>r))) | 0 | 1 | 0 | 0 | not entailment |
~(d) | (t>((a>~(a))|(r>n))) | 0 | 0 | 0 | 0 | not entailment |
(~((~(d)>f))&~((t>(r|d)))) | (((a>a)>f)|~(~(t))) | 1 | 1 | 0 | 0 | entailment |
(((a>t)|((r>t)|n))&(((r>t)|n)&r)) | (~((d&(((d&f)&t)&t)))>~(~(r))) | 1 | 1 | 0 | 0 | entailment |
(~((~(d)>f))&~((t>(r|d)))) | (~((d&(((d&f)&t)&t)))>~(~(r))) | 0 | 0 | 1 | 0 | not entailment |
(((a>t)|((r>t)|n))&(((r>t)|n)&r)) | (((a>a)>f)|~(~(t))) | 0 | 1 | 0 | 0 | not entailment |
((((n&f)&((r>d)|(t&r)))&t)&(a&r)) | (r>a) | 1 | 1 | 1 | 1 | entailment |
((~((d|f))&(~(n)|d))&((f>a)|(f&n))) | ~(f) | 1 | 1 | 1 | 1 | entailment |
((((n&f)&((r>d)|(t&r)))&t)&(a&r)) | ~(f) | 0 | 1 | 1 | 0 | not entailment |
((~((d|f))&(~(n)|d))&((f>a)|(f&n))) | (r>a) | 0 | 1 | 0 | 0 | not entailment |
(a|~((f>t))) | (~((n>(a|f)))>d) | 1 | 0 | 0 | 0 | entailment |
(((t|f)|(d&f))&r) | ((r|d)|n) | 1 | 1 | 0 | 0 | entailment |
(a|~((f>t))) | ((r|d)|n) | 0 | 1 | 0 | 0 | not entailment |
(((t|f)|(d&f))&r) | (~((n>(a|f)))>d) | 0 | 1 | 0 | 0 | not entailment |
(f&t) | (((f&(n|f))&~(((r|(r&f))&f)))|(a>(r&r))) | 1 | 0 | 0 | 0 | entailment |
((a>(n>(d>f)))>~((t>d))) | ((~((t&n))|(t|~(t)))&(d>(n&((r|d)|r)))) | 1 | 0 | 0 | 0 | entailment |
(f&t) | ((~((t&n))|(t|~(t)))&(d>(n&((r|d)|r)))) | 0 | 0 | 0 | 0 | not entailment |
((a>(n>(d>f)))>~((t>d))) | (((f&(n|f))&~(((r|(r&f))&f)))|(a>(r&r))) | 0 | 0 | 0 | 0 | not entailment |
(((f&f)|n)|(((r&(a&a))&(r>d))|(t&n))) | (~(((r>r)&((~((f|t))>n)|a)))>t) | 1 | 1 | 1 | 1 | entailment |
(~((~(~(n))>(d>(n&t))))|(~(f)&r)) | (((t&f)|r)>r) | 1 | 1 | 1 | 0 | entailment |
(((f&f)|n)|(((r&(a&a))&(r>d))|(t&n))) | (((t&f)|r)>r) | 0 | 1 | 1 | 0 | not entailment |
(~((~(~(n))>(d>(n&t))))|(~(f)&r)) | (~(((r>r)&((~((f|t))>n)|a)))>t) | 0 | 1 | 0 | 0 | not entailment |
(((d&(n&n))|d)&((d&(f&d))&(~(t)|t))) | (a>f) | 1 | 1 | 0 | 0 | entailment |
((~((r>~(f)))|(t|d))&t) | (((t>r)&(((r&r)>a)>(f&a)))>t) | 1 | 0 | 0 | 0 | entailment |
(((d&(n&n))|d)&((d&(f&d))&(~(t)|t))) | (((t>r)&(((r&r)>a)>(f&a)))>t) | 0 | 1 | 0 | 0 | not entailment |
((~((r>~(f)))|(t|d))&t) | (a>f) | 0 | 1 | 0 | 0 | not entailment |
(r&f) | ((r&f)&f) | 1 | 0 | 1 | 1 | entailment |
((n&(r&(f|~(f))))&((f&f)>((n|t)&(t>r)))) | ((~(~(r))&n)|(t|~((f>~((a|(n&t))))))) | 1 | 1 | 0 | 0 | entailment |
(r&f) | ((~(~(r))&n)|(t|~((f>~((a|(n&t))))))) | 0 | 0 | 0 | 0 | not entailment |
((n&(r&(f|~(f))))&((f&f)>((n|t)&(t>r)))) | ((r&f)&f) | 0 | 1 | 1 | 1 | not entailment |
((n>(t>d))&n) | ~(~(((~((f&r))|n)&(t>(d>t))))) | 1 | 0 | 0 | 0 | entailment |
((n>(t>d))&n) | (t|f) | 0 | 1 | 0 | 0 | not entailment |
(f|t) | ~(~(((~((f&r))|n)&(t>(d>t))))) | 0 | 0 | 0 | 0 | not entailment |
(n&(r>a)) | (((n|(f|(a&a)))>(t&~(a)))>(t&t)) | 1 | 0 | 0 | 0 | entailment |
~((~((a|d))|t)) | (r>(t>d)) | 1 | 1 | 0 | 0 | entailment |
(n&(r>a)) | (r>(t>d)) | 0 | 1 | 0 | 0 | not entailment |
~((~((a|d))|t)) | (((n|(f|(a&a)))>(t&~(a)))>(t&t)) | 0 | 0 | 0 | 0 | not entailment |
((((n>n)>n)&(f&t))&((n&t)>f)) | (n|t) | 1 | 1 | 1 | 1 | entailment |
((a&d)&a) | ((t>t)>d) | 1 | 1 | 0 | 0 | entailment |
((((n>n)>n)&(f&t))&((n&t)>f)) | ((t>t)>d) | 0 | 1 | 0 | 0 | not entailment |
((a&d)&a) | (n|t) | 0 | 1 | 0 | 0 | not entailment |
(r&p) | ((k|u)>p) | 1 | 0 | 0 | 0 | entailment |
(~(~(~(h)))&l) | (r>~(~(~(h)))) | 1 | 1 | 0 | 0 | entailment |
(r&p) | (r>~(~(~(h)))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~(h)))&l) | ((k|u)>p) | 0 | 1 | 0 | 0 | not entailment |
~((p>r)) | (~(~(((k>l)|(u>r))))|p) | 1 | 0 | 0 | 0 | entailment |
(k&((k>u)|(l>((p>h)>k)))) | (k|(p>k)) | 1 | 1 | 1 | 0 | entailment |
~((p>r)) | (k|(p>k)) | 0 | 1 | 0 | 0 | not entailment |
(k&((k>u)|(l>((p>h)>k)))) | (~(~(((k>l)|(u>r))))|p) | 0 | 1 | 0 | 0 | not entailment |
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