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 |
|---|---|---|---|---|---|---|
~(~(((r>z)&~(~((r|u)))))) | (f|(u|(((r|u)&(z>z))|~(~(((f>r)&z)))))) | 1 | 0 | 0 | 0 | entailment |
~(z) | (z>(u&((z>(f&(f>(f&(z&f)))))&(f>r)))) | 1 | 0 | 0 | 0 | entailment |
~(~(((r>z)&~(~((r|u)))))) | (z>(u&((z>(f&(f>(f&(z&f)))))&(f>r)))) | 0 | 0 | 0 | 0 | not entailment |
~(z) | (f|(u|(((r|u)&(z>z))|~(~(((f>r)&z)))))) | 0 | 0 | 0 | 0 | not entailment |
~(~((~((~(f)|u))&(u>r)))) | ((~(z)>f)|~(~(((z>f)>r)))) | 1 | 1 | 0 | 0 | entailment |
(u&~((~((u|r))|f))) | (u&u) | 1 | 1 | 1 | 1 | entailment |
~(~((~((~(f)|u))&(u>r)))) | (u&u) | 0 | 1 | 1 | 0 | not entailment |
(u&~((~((u|r))|f))) | ((~(z)>f)|~(~(((z>f)>r)))) | 0 | 0 | 0 | 0 | not entailment |
~((z|r)) | ((z&((z&u)|r))>r) | 1 | 0 | 0 | 0 | entailment |
((f&(z&u))&(~(~(u))|(z|(z|z)))) | ((((r&r)|(u|r))>f)|r) | 1 | 1 | 0 | 0 | entailment |
~((z|r)) | ((((r&r)|(u|r))>f)|r) | 0 | 0 | 0 | 0 | not entailment |
((f&(z&u))&(~(~(u))|(z|(z|z)))) | ((z&((z&u)|r))>r) | 0 | 1 | 0 | 0 | not entailment |
(((u&r)&(~(z)>z))&((u|u)>f)) | ((((u>r)|r)&r)|((r&(z>(r&f)))|(r|r))) | 1 | 0 | 1 | 0 | entailment |
(~(f)&(f>r)) | ~(~(~(f))) | 1 | 1 | 1 | 1 | entailment |
(((u&r)&(~(z)>z))&((u|u)>f)) | ~(~(~(f))) | 0 | 1 | 1 | 0 | not entailment |
(~(f)&(f>r)) | ((((u>r)|r)&r)|((r&(z>(r&f)))|(r|r))) | 0 | 0 | 0 | 0 | not entailment |
((r&f)&(((z|f)&(r|r))>(u>u))) | ~(~(((~((z>~(u)))>((u>(f&z))|f))|f))) | 1 | 0 | 1 | 0 | entailment |
(z&r) | (~(~((z&(r|r))))&z) | 1 | 0 | 1 | 1 | entailment |
((r&f)&(((z|f)&(r|r))>(u>u))) | (~(~((z&(r|r))))&z) | 0 | 1 | 1 | 0 | not entailment |
(z&r) | ~(~(((~((z>~(u)))>((u>(f&z))|f))|f))) | 0 | 0 | 0 | 0 | not entailment |
~((u>(z|z))) | ((r&r)|~(~(~((~((r|~(z)))&z))))) | 1 | 0 | 0 | 0 | entailment |
~(((z>u)|(r&(f&u)))) | ~((r&u)) | 1 | 1 | 1 | 1 | entailment |
~((u>(z|z))) | ~((r&u)) | 0 | 1 | 0 | 0 | not entailment |
~(((z>u)|(r&(f&u)))) | ((r&r)|~(~(~((~((r|~(z)))&z))))) | 0 | 0 | 1 | 0 | not entailment |
(~(((z|~(f))|r))&((f>(u&u))|(f&r))) | (r>~(~(((z>(z|u))>u)))) | 1 | 1 | 1 | 0 | entailment |
~((~((u|(((u|z)&r)|f)))>u)) | (z|(((u>f)&f)>(((z>f)&(~(r)&z))|(z&f)))) | 1 | 0 | 1 | 0 | entailment |
(~(((z|~(f))|r))&((f>(u&u))|(f&r))) | (z|(((u>f)&f)>(((z>f)&(~(r)&z))|(z&f)))) | 0 | 0 | 1 | 0 | not entailment |
~((~((u|(((u|z)&r)|f)))>u)) | (r>~(~(((z>(z|u))>u)))) | 0 | 1 | 1 | 0 | not entailment |
(r&u) | (~((((z|u)|(r>f))&(f&u)))>(u|((f>u)&f))) | 1 | 0 | 0 | 0 | entailment |
(r&((~(((u&r)|r))|z)&~(f))) | ~((r&~((r&z)))) | 1 | 1 | 1 | 1 | entailment |
(r&u) | ~((r&~((r&z)))) | 0 | 0 | 0 | 0 | not entailment |
(r&((~(((u&r)|r))|z)&~(f))) | (~((((z|u)|(r>f))&(f&u)))>(u|((f>u)&f))) | 0 | 0 | 1 | 0 | not entailment |
((u>f)&u) | ((z>(r|u))&u) | 1 | 0 | 0 | 0 | entailment |
~(((r>(r|r))&f)) | (f>r) | 1 | 1 | 1 | 1 | entailment |
((u>f)&u) | (f>r) | 0 | 1 | 0 | 0 | not entailment |
~(((r>(r|r))&f)) | ((z>(r|u))&u) | 0 | 1 | 0 | 0 | not entailment |
((u>r)&(~(((~(r)&f)&f))&(f&(f&(u&z))))) | ((u|(f>z))>((r&(r|u))>z)) | 1 | 1 | 1 | 0 | entailment |
~(~(~((((z>(r>u))|r)>((z|u)|f))))) | ~(u) | 1 | 1 | 1 | 1 | entailment |
((u>r)&(~(((~(r)&f)&f))&(f&(f&(u&z))))) | ~(u) | 0 | 1 | 1 | 1 | not entailment |
~(~(~((((z>(r>u))|r)>((z|u)|f))))) | ((u|(f>z))>((r&(r|u))>z)) | 0 | 1 | 1 | 0 | not entailment |
(f&(u|r)) | ~(~(((~((f&z))>(z|f))|(r>z)))) | 1 | 0 | 0 | 0 | entailment |
(~((((f&z)&(z|f))|u))&(z>z)) | ((u>r)|(~(u)&r)) | 1 | 1 | 0 | 0 | entailment |
(f&(u|r)) | ((u>r)|(~(u)&r)) | 0 | 0 | 1 | 0 | not entailment |
(~((((f&z)&(z|f))|u))&(z>z)) | ~(~(((~((f&z))>(z|f))|(r>z)))) | 0 | 0 | 0 | 0 | not entailment |
((f>(f|(r>(f&f))))&~(((~(r)>z)>~(f)))) | (~((~(u)>~(u)))|(r>(r>((z>f)&r)))) | 1 | 1 | 0 | 0 | entailment |
(r&u) | (((((z|(z|z))&z)&z)|(u&~(u)))>(u&z)) | 1 | 0 | 0 | 0 | entailment |
((f>(f|(r>(f&f))))&~(((~(r)>z)>~(f)))) | (((((z|(z|z))&z)&z)|(u&~(u)))>(u&z)) | 0 | 1 | 0 | 0 | not entailment |
(r&u) | (~((~(u)>~(u)))|(r>(r>((z>f)&r)))) | 0 | 0 | 0 | 0 | not entailment |
((~(z)&(f>r))&(~(((~(f)&f)|r))|z)) | ~(((r&f)&(z>u))) | 1 | 1 | 0 | 0 | entailment |
(z&r) | (~(r)>u) | 1 | 0 | 0 | 0 | entailment |
((~(z)&(f>r))&(~(((~(f)&f)|r))|z)) | (~(r)>u) | 0 | 1 | 0 | 0 | not entailment |
(z&r) | ~(((r&f)&(z>u))) | 0 | 0 | 0 | 0 | not entailment |
~((~(((~(~(f))|z)>(u|z)))>u)) | ((((u&z)&(r>(z>r)))>f)&((u>(u>(u&z)))|r)) | 1 | 0 | 0 | 0 | entailment |
((u|(f>f))>u) | (f>((u>~(z))>((z>(r>u))&u))) | 1 | 0 | 0 | 0 | entailment |
~((~(((~(~(f))|z)>(u|z)))>u)) | (f>((u>~(z))>((z>(r>u))&u))) | 0 | 1 | 0 | 0 | not entailment |
((u|(f>f))>u) | ((((u&z)&(r>(z>r)))>f)&((u>(u>(u&z)))|r)) | 0 | 0 | 0 | 0 | not entailment |
(~((f>u))&((r>u)|f)) | (~(z)|(z&(((f&z)&z)&z))) | 1 | 0 | 0 | 0 | entailment |
~((((((f>z)|f)>r)>(f|(z>r)))&~(z))) | (z|(r|u)) | 1 | 1 | 0 | 0 | entailment |
(~((f>u))&((r>u)|f)) | (z|(r|u)) | 0 | 1 | 0 | 0 | not entailment |
~((((((f>z)|f)>r)>(f|(z>r)))&~(z))) | (~(z)|(z&(((f&z)&z)&z))) | 0 | 1 | 1 | 1 | not entailment |
~((u|u)) | (u>(u>(r&u))) | 1 | 0 | 0 | 0 | entailment |
((r&(f|u))>u) | (~((((f&r)&f)&(z&~((u&f)))))|(f&~(r))) | 1 | 0 | 0 | 0 | entailment |
~((u|u)) | (~((((f&r)&f)&(z&~((u&f)))))|(f&~(r))) | 0 | 0 | 0 | 0 | not entailment |
((r&(f|u))>u) | (u>(u>(r&u))) | 0 | 1 | 1 | 0 | not entailment |
~(~(y)) | ((k|(y&d))>(y|(d>(b&o)))) | 1 | 0 | 0 | 0 | entailment |
~((j|(j|b))) | (((k&j)>((j|b)&d))|(~(((j&q)&(o&k)))&o)) | 1 | 0 | 0 | 0 | entailment |
~(~(y)) | (((k&j)>((j|b)&d))|(~(((j&q)&(o&k)))&o)) | 0 | 0 | 0 | 0 | not entailment |
~((j|(j|b))) | ((k|(y&d))>(y|(d>(b&o)))) | 0 | 0 | 0 | 0 | not entailment |
~((d&d)) | ~(~(~(~((y|((d&(d>b))>u)))))) | 1 | 0 | 0 | 0 | entailment |
((u>~((y|~(u))))>(o>((d&b)&(j&b)))) | (q>((d&o)|(u|(o>(k&(b|b)))))) | 1 | 1 | 0 | 0 | entailment |
~((d&d)) | (q>((d&o)|(u|(o>(k&(b|b)))))) | 0 | 0 | 0 | 0 | not entailment |
((u>~((y|~(u))))>(o>((d&b)&(j&b)))) | ~(~(~(~((y|((d&(d>b))>u)))))) | 0 | 1 | 1 | 0 | not entailment |
((u|d)&~(q)) | (d|~(~((k|(o|u))))) | 1 | 0 | 0 | 0 | entailment |
~((((o|y)>j)|q)) | (((j&j)>k)|q) | 1 | 1 | 0 | 0 | entailment |
((u|d)&~(q)) | (((j&j)>k)|q) | 0 | 1 | 0 | 0 | not entailment |
~((((o|y)>j)|q)) | (d|~(~((k|(o|u))))) | 0 | 0 | 0 | 0 | not entailment |
(u&(b&d)) | (k>(b|~(~(u)))) | 1 | 0 | 0 | 0 | entailment |
~((u|~((k&(k|q))))) | ((k>((j|b)&o))>k) | 1 | 1 | 0 | 0 | entailment |
(u&(b&d)) | ((k>((j|b)&o))>k) | 0 | 0 | 0 | 0 | not entailment |
~((u|~((k&(k|q))))) | (k>(b|~(~(u)))) | 0 | 1 | 0 | 0 | not entailment |
~(((q&(o&o))>~(~(~(((k&d)|k)))))) | (((q|(~((o&o))&~((d&q))))&u)|o) | 1 | 1 | 0 | 0 | entailment |
(b&((u>d)&(o>b))) | ~(~(((u|b)|d))) | 1 | 1 | 1 | 0 | entailment |
~(((q&(o&o))>~(~(~(((k&d)|k)))))) | ~(~(((u|b)|d))) | 0 | 1 | 0 | 0 | not entailment |
(b&((u>d)&(o>b))) | (((q|(~((o&o))&~((d&q))))&u)|o) | 0 | 0 | 0 | 0 | not entailment |
~((~((j>q))>(b>~((~((u&k))>u))))) | ~((~((u|d))&((q|~((k&(j&q))))&(y&j)))) | 1 | 0 | 0 | 0 | entailment |
(~((q|d))&y) | (y|~((b>o))) | 1 | 1 | 0 | 0 | entailment |
~((~((j>q))>(b>~((~((u&k))>u))))) | (y|~((b>o))) | 0 | 1 | 0 | 0 | not entailment |
(~((q|d))&y) | ~((~((u|d))&((q|~((k&(j&q))))&(y&j)))) | 0 | 0 | 0 | 0 | not entailment |
~(((b|u)>(~((q|b))|j))) | ((((b|q)>~(~(y)))>y)|(b&(j>~(b)))) | 1 | 0 | 0 | 0 | entailment |
~(((~(~(u))>q)|((((d>(k>y))&j)|j)>q))) | (((o>d)|u)|~((~((b&j))>(~(d)>q)))) | 1 | 1 | 0 | 0 | entailment |
~(((b|u)>(~((q|b))|j))) | (((o>d)|u)|~((~((b&j))>(~(d)>q)))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(~(u))>q)|((((d>(k>y))&j)|j)>q))) | ((((b|q)>~(~(y)))>y)|(b&(j>~(b)))) | 0 | 1 | 0 | 0 | not entailment |
((((q|j)>(o|y))&u)&~(((y>d)>(b&b)))) | (~(((o&o)&k))>u) | 1 | 1 | 0 | 0 | entailment |
~(~(~(~(((q&((q>o)>(~(u)|q)))&j))))) | ~(~((((~((b|d))&j)&d)|q))) | 1 | 1 | 0 | 0 | entailment |
((((q|j)>(o|y))&u)&~(((y>d)>(b&b)))) | ~(~((((~((b|d))&j)&d)|q))) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(~(((q&((q>o)>(~(u)|q)))&j))))) | (~(((o&o)&k))>u) | 0 | 1 | 0 | 0 | not entailment |
(d&((j>d)>(y|o))) | ((y>~((~(d)&((u>(b&y))&(~(j)>u)))))|b) | 1 | 0 | 0 | 0 | entailment |
((j&y)&(q&(q&j))) | (y|y) | 1 | 1 | 1 | 1 | entailment |
(d&((j>d)>(y|o))) | (y|y) | 0 | 1 | 1 | 1 | not entailment |
((j&y)&(q&(q&j))) | ((y>~((~(d)&((u>(b&y))&(~(j)>u)))))|b) | 0 | 0 | 0 | 0 | not entailment |
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