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 |
|---|---|---|---|---|---|---|
~((d>b)) | (~((s>((b|b)>i)))>(s&((d&(w|u))>w))) | 1 | 0 | 0 | 0 | entailment |
((b|i)|i) | (~(~((w|d)))>((b|(u>i))|((s&s)&w))) | 1 | 0 | 0 | 0 | entailment |
~((d>b)) | (~(~((w|d)))>((b|(u>i))|((s&s)&w))) | 0 | 0 | 0 | 0 | not entailment |
((b|i)|i) | (~((s>((b|b)>i)))>(s&((d&(w|u))>w))) | 0 | 0 | 0 | 0 | not entailment |
(~(w)&((s&(b>u))&d)) | (w>(d&w)) | 1 | 1 | 1 | 0 | entailment |
(u&s) | (~(d)|(s&u)) | 1 | 0 | 0 | 0 | entailment |
(~(w)&((s&(b>u))&d)) | (~(d)|(s&u)) | 0 | 1 | 1 | 0 | not entailment |
(u&s) | (w>(d&w)) | 0 | 0 | 0 | 0 | not entailment |
((~((i&b))&u)&~(~(((b|w)|d)))) | (((u&b)&s)|((d&~(b))|(i|u))) | 1 | 1 | 0 | 0 | entailment |
~(((b|d)>(~(~((((u>u)>s)|w)))&(i>b)))) | ((b&w)>(~(b)|(s>i))) | 1 | 1 | 1 | 1 | entailment |
((~((i&b))&u)&~(~(((b|w)|d)))) | ((b&w)>(~(b)|(s>i))) | 0 | 1 | 0 | 0 | not entailment |
~(((b|d)>(~(~((((u>u)>s)|w)))&(i>b)))) | (((u&b)&s)|((d&~(b))|(i|u))) | 0 | 1 | 1 | 0 | not entailment |
~(~((~(s)&(((d>d)&i)&w)))) | (((d&s)>(b&u))|u) | 1 | 1 | 0 | 0 | entailment |
((d|~(~((s>(d>i)))))>d) | ((d|b)|(b|(s|d))) | 1 | 1 | 0 | 0 | entailment |
~(~((~(s)&(((d>d)&i)&w)))) | ((d|b)|(b|(s|d))) | 0 | 1 | 0 | 0 | not entailment |
((d|~(~((s>(d>i)))))>d) | (((d&s)>(b&u))|u) | 0 | 1 | 0 | 0 | not entailment |
~(((d&u)>s)) | ~(~((u|(b>u)))) | 1 | 0 | 0 | 0 | entailment |
(~(d)|~((b>(d|~(i))))) | (s|(d>~(u))) | 1 | 1 | 0 | 0 | entailment |
~(((d&u)>s)) | (s|(d>~(u))) | 0 | 1 | 1 | 0 | not entailment |
(~(d)|~((b>(d|~(i))))) | ~(~((u|(b>u)))) | 0 | 1 | 0 | 0 | not entailment |
(((d|(u|w))&w)&~((w&u))) | (s>w) | 1 | 1 | 0 | 0 | entailment |
(b&~(~((u&(i&s))))) | (b|~((~(s)>d))) | 1 | 1 | 0 | 0 | entailment |
(((d|(u|w))&w)&~((w&u))) | (b|~((~(s)>d))) | 0 | 1 | 0 | 0 | not entailment |
(b&~(~((u&(i&s))))) | (s>w) | 0 | 1 | 0 | 0 | not entailment |
~(((~((b&i))&w)|(d|(u>s)))) | ((w&b)>i) | 1 | 1 | 1 | 0 | entailment |
(((d>s)>(s>w))&(~(s)&b)) | (b|~(~(~((((b|i)|u)>(u>i)))))) | 1 | 0 | 0 | 0 | entailment |
~(((~((b&i))&w)|(d|(u>s)))) | (b|~(~(~((((b|i)|u)>(u>i)))))) | 0 | 0 | 1 | 0 | not entailment |
(((d>s)>(s>w))&(~(s)&b)) | ((w&b)>i) | 0 | 1 | 0 | 0 | not entailment |
(u&~((s|(d&(u&i))))) | (((s|(d&s))&(s|d))>~((~(b)&s))) | 1 | 0 | 0 | 0 | entailment |
(~(s)>i) | (b>((s>s)>(s|(i&i)))) | 1 | 0 | 0 | 0 | entailment |
(u&~((s|(d&(u&i))))) | (b>((s>s)>(s|(i&i)))) | 0 | 1 | 0 | 0 | not entailment |
(~(s)>i) | (((s|(d&s))&(s|d))>~((~(b)&s))) | 0 | 0 | 0 | 0 | not entailment |
(w&~((s&(d|(i&s))))) | ((s|b)|(~((i>b))>w)) | 1 | 1 | 0 | 0 | entailment |
~(~(~((u>(b|w))))) | ((~(b)&u)|~((u>~(((i&i)&b))))) | 1 | 0 | 0 | 0 | entailment |
(w&~((s&(d|(i&s))))) | ((~(b)&u)|~((u>~(((i&i)&b))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((u>(b|w))))) | ((s|b)|(~((i>b))>w)) | 0 | 1 | 0 | 0 | not entailment |
(~((w>~(~(s))))&b) | ((s|u)|~(~(((d>b)|(w|((i|u)&~(u))))))) | 1 | 0 | 0 | 0 | entailment |
(~(i)|(((i&s)|(b>b))>((d>b)>~(u)))) | (i>(~(u)|(u&d))) | 1 | 1 | 1 | 0 | entailment |
(~((w>~(~(s))))&b) | (i>(~(u)|(u&d))) | 0 | 1 | 0 | 0 | not entailment |
(~(i)|(((i&s)|(b>b))>((d>b)>~(u)))) | ((s|u)|~(~(((d>b)|(w|((i|u)&~(u))))))) | 0 | 0 | 0 | 0 | not entailment |
(~(s)&b) | ((s|s)>~(w)) | 1 | 0 | 0 | 0 | entailment |
(u&((d&b)&w)) | (((w|i)|~((d&b)))>w) | 1 | 0 | 0 | 0 | entailment |
(~(s)&b) | (((w|i)|~((d&b)))>w) | 0 | 0 | 0 | 0 | not entailment |
(u&((d&b)&w)) | ((s|s)>~(w)) | 0 | 1 | 0 | 0 | not entailment |
((d&s)&(d>(d>b))) | (((~((d>((s>u)&d)))&w)|~(d))>(d&s)) | 1 | 0 | 0 | 0 | entailment |
~(((u|(u|u))>(w&w))) | (u|~(((i|u)|w))) | 1 | 1 | 0 | 0 | entailment |
((d&s)&(d>(d>b))) | (u|~(((i|u)|w))) | 0 | 1 | 0 | 0 | not entailment |
~(((u|(u|u))>(w&w))) | (((~((d>((s>u)&d)))&w)|~(d))>(d&s)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((((w&b)>s)>w)&u))) | ((b|w)|(u&~(u))) | 1 | 1 | 1 | 0 | entailment |
~((b|i)) | ~(((i|i)&~((((i|i)>~(~(w)))>d)))) | 1 | 0 | 0 | 0 | entailment |
~(~(((((w&b)>s)>w)&u))) | ~(((i|i)&~((((i|i)>~(~(w)))>d)))) | 0 | 0 | 0 | 0 | not entailment |
~((b|i)) | ((b|w)|(u&~(u))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((b&d)|((i>s)>(w|(u>w))))))) | (((i&~((d>b)))|((b&w)>u))>u) | 1 | 1 | 1 | 0 | entailment |
((b&b)&s) | ((s|s)|(i&i)) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((b&d)|((i>s)>(w|(u>w))))))) | ((s|s)|(i&i)) | 0 | 1 | 1 | 0 | not entailment |
((b&b)&s) | (((i&~((d>b)))|((b&w)>u))>u) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((((h|i)|i)>h)|h)))) | ((o|(i&(o>i)))>((i|h)&((o|o)|i))) | 1 | 0 | 0 | 0 | entailment |
(o|~((((i>h)>(~(o)>o))>~(~((h>i)))))) | (~((o|(h|h)))>(h&h)) | 1 | 1 | 1 | 1 | entailment |
~(~(~(((((h|i)|i)>h)|h)))) | (~((o|(h|h)))>(h&h)) | 0 | 1 | 0 | 0 | not entailment |
(o|~((((i>h)>(~(o)>o))>~(~((h>i)))))) | ((o|(i&(o>i)))>((i|h)&((o|o)|i))) | 0 | 1 | 1 | 0 | not entailment |
((h>(o&h))&h) | ((~((~(h)|~(i)))|(i>o))&(h|o)) | 1 | 0 | 0 | 0 | entailment |
(i&(o>o)) | (i|(h&(h&i))) | 1 | 0 | 0 | 0 | entailment |
((h>(o&h))&h) | (i|(h&(h&i))) | 0 | 1 | 0 | 0 | not entailment |
(i&(o>o)) | ((~((~(h)|~(i)))|(i>o))&(h|o)) | 0 | 0 | 0 | 0 | not entailment |
(~(h)>(h|~(~(h)))) | (h|(~(h)>(o>((o|(i&o))>h)))) | 1 | 0 | 0 | 0 | entailment |
((i&o)|o) | ((o|i)&(h|o)) | 1 | 0 | 0 | 0 | entailment |
(~(h)>(h|~(~(h)))) | ((o|i)&(h|o)) | 0 | 1 | 0 | 0 | not entailment |
((i&o)|o) | (h|(~(h)>(o>((o|(i&o))>h)))) | 0 | 0 | 0 | 0 | not entailment |
((~(o)&(o&h))|((i&o)&h)) | ~(((h|(h&(o|o)))>(o>~(h)))) | 1 | 0 | 1 | 1 | entailment |
~(o) | ~((((((o>h)&i)>o)|i)>(h&o))) | 1 | 0 | 0 | 0 | entailment |
((~(o)&(o&h))|((i&o)&h)) | ~((((((o>h)&i)>o)|i)>(h&o))) | 0 | 0 | 1 | 0 | not entailment |
~(o) | ~(((h|(h&(o|o)))>(o>~(h)))) | 0 | 0 | 0 | 0 | not entailment |
(h&h) | (o>h) | 1 | 1 | 0 | 0 | entailment |
(o&o) | ~(((h&~(i))&~((h>o)))) | 1 | 0 | 0 | 0 | entailment |
(h&h) | ~(((h&~(i))&~((h>o)))) | 0 | 0 | 0 | 0 | not entailment |
(o&o) | (o>h) | 0 | 1 | 0 | 0 | not entailment |
(~(~(~(i)))&(h&o)) | (h&(((~(~(~(h)))>i)|i)|h)) | 1 | 0 | 1 | 0 | entailment |
((((o&o)>o)&~((~(o)&o)))>((i>h)>i)) | (((i&h)|h)>(h>i)) | 1 | 1 | 1 | 0 | entailment |
(~(~(~(i)))&(h&o)) | (((i&h)|h)>(h>i)) | 0 | 1 | 1 | 0 | not entailment |
((((o&o)>o)&~((~(o)&o)))>((i>h)>i)) | (h&(((~(~(~(h)))>i)|i)|h)) | 0 | 1 | 1 | 0 | not entailment |
((~((h&h))|~(i))&(o&h)) | ~(((((o|((o&i)&h))|i)>i)&~(o))) | 1 | 0 | 1 | 0 | entailment |
(h&(h&(h>i))) | (i|i) | 1 | 1 | 1 | 1 | entailment |
((~((h&h))|~(i))&(o&h)) | (i|i) | 0 | 1 | 1 | 0 | not entailment |
(h&(h&(h>i))) | ~(((((o|((o&i)&h))|i)>i)&~(o))) | 0 | 0 | 0 | 0 | not entailment |
(((h>h)>(i|i))&((h&i)>i)) | (((o>h)&o)>(i&h)) | 1 | 1 | 0 | 0 | entailment |
~((~(((~((i&i))>o)>i))>(o>((o>o)&i)))) | ((h&((o|(i|h))>i))|o) | 1 | 1 | 0 | 0 | entailment |
(((h>h)>(i|i))&((h&i)>i)) | ((h&((o|(i|h))>i))|o) | 0 | 1 | 0 | 0 | not entailment |
~((~(((~((i&i))>o)>i))>(o>((o>o)&i)))) | (((o>h)&o)>(i&h)) | 0 | 1 | 0 | 0 | not entailment |
(i|(~((~(~((i&h)))>~(i)))&o)) | ~((~((o>(i|h)))&(h>(o&i)))) | 1 | 1 | 1 | 0 | entailment |
~(((~((i&h))|h)>~(o))) | (~(((h>h)>(i|(o&(o|(h&i))))))|o) | 1 | 0 | 1 | 0 | entailment |
(i|(~((~(~((i&h)))>~(i)))&o)) | (~(((h>h)>(i|(o&(o|(h&i))))))|o) | 0 | 1 | 1 | 0 | not entailment |
~(((~((i&h))|h)>~(o))) | ~((~((o>(i|h)))&(h>(o&i)))) | 0 | 0 | 1 | 0 | not entailment |
~((i|~(o))) | ~(i) | 1 | 1 | 1 | 1 | entailment |
(h&h) | ((~(o)|(((o|h)>(h|o))|i))>h) | 1 | 0 | 0 | 0 | entailment |
~((i|~(o))) | ((~(o)|(((o|h)>(h|o))|i))>h) | 0 | 0 | 0 | 0 | not entailment |
(h&h) | ~(i) | 0 | 1 | 0 | 0 | not entailment |
(h&(i&((i>h)>h))) | ((o|i)>h) | 1 | 1 | 0 | 0 | entailment |
(((i|i)&o)&(o&~(((o>h)&i)))) | (~(h)|~(~((i&o)))) | 1 | 1 | 1 | 1 | entailment |
(h&(i&((i>h)>h))) | (~(h)|~(~((i&o)))) | 0 | 0 | 0 | 0 | not entailment |
(((i|i)&o)&(o&~(((o>h)&i)))) | ((o|i)>h) | 0 | 1 | 1 | 0 | not entailment |
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