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&c))&((c>c)&y)) | (((x|y)>(y|(~(x)|c)))|((c>(c&y))&c)) | 1 | 0 | 1 | 0 | entailment |
(x&x) | (y>(~((~(c)|x))|x)) | 1 | 0 | 0 | 0 | entailment |
(~((x&c))&((c>c)&y)) | (y>(~((~(c)|x))|x)) | 0 | 1 | 1 | 0 | not entailment |
(x&x) | (((x|y)>(y|(~(x)|c)))|((c>(c&y))&c)) | 0 | 0 | 0 | 0 | not entailment |
~(((~(~(y))&c)|~(c))) | ((x|(y|c))|(~(~((c|(c&~(y)))))&c)) | 1 | 0 | 0 | 0 | entailment |
(~(~(x))>~((x&c))) | ((((y&x)|(c|y))>~((x>x)))|((c>c)&(x>y))) | 1 | 0 | 0 | 0 | entailment |
~(((~(~(y))&c)|~(c))) | ((((y&x)|(c|y))>~((x>x)))|((c>c)&(x>y))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(x))>~((x&c))) | ((x|(y|c))|(~(~((c|(c&~(y)))))&c)) | 0 | 0 | 0 | 0 | not entailment |
(y&y) | ((x|y)|(y|(x&y))) | 1 | 0 | 0 | 0 | entailment |
~(~((y>c))) | (((y>x)|((x&y)|x))|((c|y)>c)) | 1 | 0 | 0 | 0 | entailment |
(y&y) | (((y>x)|((x&y)|x))|((c|y)>c)) | 0 | 0 | 0 | 0 | not entailment |
~(~((y>c))) | ((x|y)|(y|(x&y))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(x)>~(~(~(x))))>~((c&x)))) | ((c&c)|((x>~(y))>~(x))) | 1 | 1 | 0 | 0 | entailment |
~((c|(y|y))) | ((y&y)>~(((y|y)|(y&c)))) | 1 | 0 | 1 | 1 | entailment |
~(((~(x)>~(~(~(x))))>~((c&x)))) | ((y&y)>~(((y|y)|(y&c)))) | 0 | 1 | 0 | 0 | not entailment |
~((c|(y|y))) | ((c&c)|((x>~(y))>~(x))) | 0 | 0 | 0 | 0 | not entailment |
((y&c)&~((c>(x&x)))) | (y|((c|c)&((y>(x>~(y)))&(x>x)))) | 1 | 0 | 1 | 0 | entailment |
~(~(((((c&x)|c)|(x&~((x|x))))>(x&x)))) | (~(x)>(~((c>((x&x)&x)))>x)) | 1 | 1 | 1 | 1 | entailment |
((y&c)&~((c>(x&x)))) | (~(x)>(~((c>((x&x)&x)))>x)) | 0 | 0 | 1 | 0 | not entailment |
~(~(((((c&x)|c)|(x&~((x|x))))>(x&x)))) | (y|((c|c)&((y>(x>~(y)))&(x>x)))) | 0 | 1 | 0 | 0 | not entailment |
(x|(x&~(y))) | (c|((c|((c|x)&x))|y)) | 1 | 0 | 0 | 0 | entailment |
(~(y)&~(c)) | ~(y) | 1 | 1 | 1 | 1 | entailment |
(x|(x&~(y))) | ~(y) | 0 | 1 | 1 | 1 | not entailment |
(~(y)&~(c)) | (c|((c|((c|x)&x))|y)) | 0 | 0 | 0 | 0 | not entailment |
~(((~(~(c))&(c&x))>(y&(y&((x>y)>c))))) | ~(((c>((y&x)>(c|y)))&((x&c)>y))) | 1 | 1 | 1 | 1 | entailment |
~(~(~(~(~(((c>~(c))>x)))))) | ~((~(c)>(x&((~(c)&c)&(x&y))))) | 1 | 1 | 0 | 0 | entailment |
~(((~(~(c))&(c&x))>(y&(y&((x>y)>c))))) | ~((~(c)>(x&((~(c)&c)&(x&y))))) | 0 | 1 | 1 | 1 | not entailment |
~(~(~(~(~(((c>~(c))>x)))))) | ~(((c>((y&x)>(c|y)))&((x&c)>y))) | 0 | 1 | 0 | 0 | not entailment |
((y>(x|x))|~((x>c))) | (y>x) | 1 | 1 | 1 | 1 | entailment |
(y&~(c)) | ((c|y)&(y|(((c|y)|c)|y))) | 1 | 0 | 1 | 0 | entailment |
((y>(x|x))|~((x>c))) | ((c|y)&(y|(((c|y)|c)|y))) | 0 | 0 | 1 | 0 | not entailment |
(y&~(c)) | (y>x) | 0 | 1 | 0 | 0 | not entailment |
~((((((x|x)|(c&x))&c)|~(x))|y)) | ((~((y|(x&~((c&(~(y)|c))))))>x)|c) | 1 | 0 | 1 | 0 | entailment |
~((y|(~(x)>y))) | (~((x|y))|((x|~(c))>(y&y))) | 1 | 0 | 0 | 0 | entailment |
~((((((x|x)|(c&x))&c)|~(x))|y)) | (~((x|y))|((x|~(c))>(y&y))) | 0 | 1 | 1 | 0 | not entailment |
~((y|(~(x)>y))) | ((~((y|(x&~((c&(~(y)|c))))))>x)|c) | 0 | 0 | 0 | 0 | not entailment |
((x>(x>y))&(x&y)) | (c|y) | 1 | 1 | 0 | 0 | entailment |
(x&~((c|y))) | ((y>~(~(((x|y)&c))))|c) | 1 | 0 | 1 | 0 | entailment |
((x>(x>y))&(x&y)) | ((y>~(~(((x|y)&c))))|c) | 0 | 0 | 0 | 0 | not entailment |
(x&~((c|y))) | (c|y) | 0 | 1 | 1 | 0 | not entailment |
(~(((x|c)>(((x|y)&c)>x)))&(~(y)>(x&y))) | ((x|y)>c) | 1 | 1 | 1 | 0 | entailment |
((((~((x>c))|x)>y)>(((y|y)>x)&(y|x)))&y) | (((x|((y>y)|((y>c)&y)))&((c>c)>x))|(y&x)) | 1 | 1 | 1 | 0 | entailment |
(~(((x|c)>(((x|y)&c)>x)))&(~(y)>(x&y))) | (((x|((y>y)|((y>c)&y)))&((c>c)>x))|(y&x)) | 0 | 1 | 1 | 0 | not entailment |
((((~((x>c))|x)>y)>(((y|y)>x)&(y|x)))&y) | ((x|y)>c) | 0 | 1 | 1 | 0 | not entailment |
~((((~((k>((z&h)>u)))>b)>(o>k))|d)) | ((h|o)|~((k|k))) | 1 | 1 | 1 | 0 | entailment |
(~(((u>b)&~((~(z)|d))))&(b&b)) | (((~((o>u))&(u|b))>~((h&z)))|d) | 1 | 1 | 0 | 0 | entailment |
~((((~((k>((z&h)>u)))>b)>(o>k))|d)) | (((~((o>u))&(u|b))>~((h&z)))|d) | 0 | 1 | 1 | 0 | not entailment |
(~(((u>b)&~((~(z)|d))))&(b&b)) | ((h|o)|~((k|k))) | 0 | 1 | 0 | 0 | not entailment |
(~(k)&~(((h>z)>o))) | ~((b&~((~(o)|k)))) | 1 | 1 | 0 | 0 | entailment |
((k>o)&((d|z)>b)) | (~(b)>~(d)) | 1 | 1 | 1 | 1 | entailment |
(~(k)&~(((h>z)>o))) | (~(b)>~(d)) | 0 | 1 | 0 | 0 | not entailment |
((k>o)&((d|z)>b)) | ~((b&~((~(o)|k)))) | 0 | 0 | 1 | 0 | not entailment |
((((z>(k>h))&(h>d))|(z|b))&~(d)) | (~((~((b>(h>z)))&k))>~((d&(k|k)))) | 1 | 0 | 1 | 0 | entailment |
((u|~((k&h)))&o) | ((d|b)|o) | 1 | 1 | 0 | 0 | entailment |
((((z>(k>h))&(h>d))|(z|b))&~(d)) | ((d|b)|o) | 0 | 1 | 0 | 0 | not entailment |
((u|~((k&h)))&o) | (~((~((b>(h>z)))&k))>~((d&(k|k)))) | 0 | 0 | 0 | 0 | not entailment |
~(((o>h)|((k>d)&~(~(o))))) | ~(d) | 1 | 1 | 1 | 1 | entailment |
~(~(~(((h|u)|((u&(b|u))|z))))) | ~(((z&z)&k)) | 1 | 1 | 0 | 0 | entailment |
~(((o>h)|((k>d)&~(~(o))))) | ~(((z&z)&k)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(((h|u)|((u&(b|u))|z))))) | ~(d) | 0 | 1 | 0 | 0 | not entailment |
((~(d)&o)&z) | (((((o|h)>(b>b))&(k&h))&d)>~((z>(d|h)))) | 1 | 0 | 0 | 0 | entailment |
(b&~(~((o|(k&(u&(u>z))))))) | (d|b) | 1 | 1 | 0 | 0 | entailment |
((~(d)&o)&z) | (d|b) | 0 | 1 | 0 | 0 | not entailment |
(b&~(~((o|(k&(u&(u>z))))))) | (((((o|h)>(b>b))&(k&h))&d)>~((z>(d|h)))) | 0 | 0 | 0 | 0 | not entailment |
((d|(u&~(b)))&u) | (((z>o)|(h>d))|~(((z|k)&b))) | 1 | 0 | 0 | 0 | entailment |
~(~((~((b>d))|z))) | (~(~((k>z)))|(o>(b&k))) | 1 | 0 | 0 | 0 | entailment |
((d|(u&~(b)))&u) | (~(~((k>z)))|(o>(b&k))) | 0 | 0 | 0 | 0 | not entailment |
~(~((~((b>d))|z))) | (((z>o)|(h>d))|~(((z|k)&b))) | 0 | 0 | 0 | 0 | not entailment |
(d&z) | ~(~((~((o|o))|(((o>d)|d)|d)))) | 1 | 0 | 0 | 0 | entailment |
~(~((~(~(k))&(o>o)))) | ((z&u)>((~((o|b))&h)|k)) | 1 | 1 | 0 | 0 | entailment |
(d&z) | ((z&u)>((~((o|b))&h)|k)) | 0 | 0 | 0 | 0 | not entailment |
~(~((~(~(k))&(o>o)))) | ~(~((~((o|o))|(((o>d)|d)|d)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((b&o))|~((d>h)))) | (((((k|k)|k)&d)|o)|((d>(h>z))>z)) | 1 | 0 | 0 | 0 | entailment |
~(((d|(d>(z>z)))&(~(u)|z))) | (d|u) | 1 | 1 | 1 | 1 | entailment |
~((~((b&o))|~((d>h)))) | (d|u) | 0 | 1 | 0 | 0 | not entailment |
~(((d|(d>(z>z)))&(~(u)|z))) | (((((k|k)|k)&d)|o)|((d>(h>z))>z)) | 0 | 0 | 0 | 0 | not entailment |
(b&u) | ((z>d)>b) | 1 | 0 | 0 | 0 | entailment |
~(k) | ((k&(b>(b>h)))>(u&~(d))) | 1 | 0 | 0 | 0 | entailment |
(b&u) | ((k&(b>(b>h)))>(u&~(d))) | 0 | 0 | 0 | 0 | not entailment |
~(k) | ((z>d)>b) | 0 | 0 | 0 | 0 | not entailment |
((~(o)|(h>~(d)))&h) | (~(k)>((((k|u)>((b&o)&b))|((o>u)|u))&h)) | 1 | 0 | 0 | 0 | entailment |
(o&b) | ((o|d)|(k&h)) | 1 | 0 | 0 | 0 | entailment |
((~(o)|(h>~(d)))&h) | ((o|d)|(k&h)) | 0 | 1 | 0 | 0 | not entailment |
(o&b) | (~(k)>((((k|u)>((b&o)&b))|((o>u)|u))&h)) | 0 | 0 | 0 | 0 | not entailment |
(~(k)&(d&(h|h))) | ((d|u)|((u|z)|k)) | 1 | 1 | 0 | 0 | entailment |
~(((k|o)|o)) | ~((o&~((h>b)))) | 1 | 0 | 0 | 0 | entailment |
(~(k)&(d&(h|h))) | ~((o&~((h>b)))) | 0 | 1 | 0 | 0 | not entailment |
~(((k|o)|o)) | ((d|u)|((u|z)|k)) | 0 | 0 | 0 | 0 | not entailment |
~((((k|(~(u)&k))|(d|k))>(u&(o|z)))) | (~(~((k&(u&o))))>~(~(b))) | 1 | 1 | 0 | 0 | entailment |
(~(h)&((z>(~(d)>d))>~(~(h)))) | (~((u|h))|u) | 1 | 1 | 0 | 0 | entailment |
~((((k|(~(u)&k))|(d|k))>(u&(o|z)))) | (~((u|h))|u) | 0 | 1 | 0 | 0 | not entailment |
(~(h)&((z>(~(d)>d))>~(~(h)))) | (~(~((k&(u&o))))>~(~(b))) | 0 | 1 | 0 | 0 | not entailment |
~((((u|o)&b)>(z>d))) | (d>o) | 1 | 1 | 1 | 1 | entailment |
~(~(~(~(~(((z>k)|(d&o))))))) | ~(k) | 1 | 1 | 1 | 1 | entailment |
~((((u|o)&b)>(z>d))) | ~(k) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(~(~(((z>k)|(d&o))))))) | (d>o) | 0 | 1 | 1 | 0 | not entailment |
(((d&z)>z)>(u&((z|o)&z))) | ((~((h>z))>((u&b)>(z>((u>o)>~(k)))))&z) | 1 | 0 | 0 | 0 | entailment |
(~(((z|((d|b)|h))|k))&u) | (b|~(h)) | 1 | 1 | 1 | 0 | entailment |
(((d&z)>z)>(u&((z|o)&z))) | (b|~(h)) | 0 | 1 | 0 | 0 | not entailment |
(~(((z|((d|b)|h))|k))&u) | ((~((h>z))>((u&b)>(z>((u>o)>~(k)))))&z) | 0 | 0 | 0 | 0 | not entailment |
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