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 |
|---|---|---|---|---|---|---|
(((m|~(o))&o)&~(((f&f)&f))) | (~(a)|~(~((~((o>f))&(o|o))))) | 1 | 0 | 0 | 0 | entailment |
((~(z)&z)|a) | (z|a) | 1 | 1 | 1 | 1 | entailment |
(((m|~(o))&o)&~(((f&f)&f))) | (z|a) | 0 | 1 | 0 | 0 | not entailment |
((~(z)&z)|a) | (~(a)|~(~((~((o>f))&(o|o))))) | 0 | 0 | 0 | 0 | not entailment |
(a&m) | (~(~(~(a)))>((f&m)&(f|(~(~(a))>m)))) | 1 | 0 | 0 | 0 | entailment |
((f&b)&~((~(m)&y))) | ~((~(~(((b&a)>a)))&(~(f)&~(~(z))))) | 1 | 0 | 0 | 0 | entailment |
(a&m) | ~((~(~(((b&a)>a)))&(~(f)&~(~(z))))) | 0 | 0 | 0 | 0 | not entailment |
((f&b)&~((~(m)&y))) | (~(~(~(a)))>((f&m)&(f|(~(~(a))>m)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(y)) | (y|~(((b>((m&o)>y))>((z&~(m))|(f|y))))) | 1 | 0 | 0 | 0 | entailment |
(~((a>(a&y)))|(~(z)>(o&b))) | ((~(a)>(z|z))|b) | 1 | 1 | 1 | 1 | entailment |
~(~(y)) | ((~(a)>(z|z))|b) | 0 | 0 | 0 | 0 | not entailment |
(~((a>(a&y)))|(~(z)>(o&b))) | (y|~(((b>((m&o)>y))>((z&~(m))|(f|y))))) | 0 | 0 | 0 | 0 | not entailment |
((y&((m|z)&z))&((((o|f)|m)&(a&o))|z)) | (b|((y&a)>((a|z)>z))) | 1 | 1 | 0 | 0 | entailment |
(o&((((m|~(z))&((m>b)|y))|~(a))&~(m))) | ((f>o)|~((y|z))) | 1 | 1 | 0 | 0 | entailment |
((y&((m|z)&z))&((((o|f)|m)&(a&o))|z)) | ((f>o)|~((y|z))) | 0 | 1 | 1 | 0 | not entailment |
(o&((((m|~(z))&((m>b)|y))|~(a))&~(m))) | (b|((y&a)>((a|z)>z))) | 0 | 1 | 1 | 0 | not entailment |
(~(((a&y)|(o|y)))&f) | (m>((b>~(b))|(~(o)|z))) | 1 | 0 | 0 | 0 | entailment |
~(((b>f)|~(o))) | ((~(o)&(m>z))>y) | 1 | 1 | 0 | 0 | entailment |
(~(((a&y)|(o|y)))&f) | ((~(o)&(m>z))>y) | 0 | 1 | 0 | 0 | not entailment |
~(((b>f)|~(o))) | (m>((b>~(b))|(~(o)|z))) | 0 | 0 | 0 | 0 | not entailment |
~((((b&f)|z)|o)) | ~(((m>((m&z)>b))>(~(a)&a))) | 1 | 0 | 0 | 0 | entailment |
(((~(a)>~(m))&(o>z))&m) | (b>a) | 1 | 1 | 0 | 0 | entailment |
~((((b&f)|z)|o)) | (b>a) | 0 | 1 | 0 | 0 | not entailment |
(((~(a)>~(m))&(o>z))&m) | ~(((m>((m&z)>b))>(~(a)&a))) | 0 | 0 | 0 | 0 | not entailment |
(((f&f)|y)&(o&(o>z))) | (((o>(o|z))&(m>z))|z) | 1 | 1 | 0 | 0 | entailment |
~((m>f)) | (m&~(((~(a)&b)&(o&(b>a))))) | 1 | 0 | 0 | 0 | entailment |
(((f&f)|y)&(o&(o>z))) | (m&~(((~(a)&b)&(o&(b>a))))) | 0 | 0 | 0 | 0 | not entailment |
~((m>f)) | (((o>(o|z))&(m>z))|z) | 0 | 0 | 0 | 0 | not entailment |
(~((z>b))&~(((a>f)|~(y)))) | ((((o|(f>a))&o)|f)>((m|z)|((m|(z|a))|z))) | 1 | 0 | 0 | 0 | entailment |
(~((b>(b>z)))&(((y&a)&a)>~((f>(m>b))))) | ((b&f)|(o>b)) | 1 | 1 | 0 | 0 | entailment |
(~((z>b))&~(((a>f)|~(y)))) | ((b&f)|(o>b)) | 0 | 1 | 0 | 0 | not entailment |
(~((b>(b>z)))&(((y&a)&a)>~((f>(m>b))))) | ((((o|(f>a))&o)|f)>((m|z)|((m|(z|a))|z))) | 0 | 1 | 0 | 0 | not entailment |
(((a>b)>m)&a) | (y|a) | 1 | 1 | 0 | 0 | entailment |
~((~(z)>a)) | ~((~((z|a))>(z&y))) | 1 | 0 | 0 | 0 | entailment |
(((a>b)>m)&a) | ~((~((z|a))>(z&y))) | 0 | 0 | 0 | 0 | not entailment |
~((~(z)>a)) | (y|a) | 0 | 1 | 0 | 0 | not entailment |
(~(((o&((o>z)>y))>y))&b) | ((f&o)|(~(z)&~((z&~(m))))) | 1 | 0 | 0 | 0 | entailment |
(y|(a&~(((y&b)|(m>y))))) | (~(((f|z)>(m|(y&o))))>~(o)) | 1 | 0 | 0 | 0 | entailment |
(~(((o&((o>z)>y))>y))&b) | (~(((f|z)>(m|(y&o))))>~(o)) | 0 | 0 | 0 | 0 | not entailment |
(y|(a&~(((y&b)|(m>y))))) | ((f&o)|(~(z)&~((z&~(m))))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(~(~(z))))>((y|o)|(f&m)))) | (a>z) | 1 | 1 | 0 | 0 | entailment |
((b|(((m&z)>b)>~((y|(y>m)))))|~((y>z))) | (((m>y)|b)>(~(((f&a)|y))>(b|y))) | 1 | 1 | 0 | 0 | entailment |
~((~(~(~(~(z))))>((y|o)|(f&m)))) | (((m>y)|b)>(~(((f&a)|y))>(b|y))) | 0 | 1 | 0 | 0 | not entailment |
((b|(((m&z)>b)>~((y|(y>m)))))|~((y>z))) | (a>z) | 0 | 1 | 0 | 0 | not entailment |
(~(a)&~(((m|a)>y))) | (~((a>((b|f)&(o|(~((y|f))|~(f))))))>y) | 1 | 0 | 0 | 0 | entailment |
((a&m)&((m>~((z>f)))&~(((o&z)&o)))) | ((((a>y)>((b&b)&o))&(z|(b&(y&y))))|(m&a)) | 1 | 0 | 0 | 0 | entailment |
(~(a)&~(((m|a)>y))) | ((((a>y)>((b&b)&o))&(z|(b&(y&y))))|(m&a)) | 0 | 0 | 0 | 0 | not entailment |
((a&m)&((m>~((z>f)))&~(((o&z)&o)))) | (~((a>((b|f)&(o|(~((y|f))|~(f))))))>y) | 0 | 0 | 0 | 0 | not entailment |
(((y&o)&((f&(m&f))|y))&(m>m)) | ((~(((o>y)>m))|(o|f))>~(~(y))) | 1 | 0 | 1 | 0 | entailment |
(a&f) | (((y&f)&m)|f) | 1 | 0 | 0 | 0 | entailment |
(((y&o)&((f&(m&f))|y))&(m>m)) | (((y&f)&m)|f) | 0 | 1 | 1 | 1 | not entailment |
(a&f) | ((~(((o>y)>m))|(o|f))>~(~(y))) | 0 | 0 | 0 | 0 | not entailment |
(f&(o|a)) | ((b|(~(z)>z))>(~((o|f))>m)) | 1 | 0 | 0 | 0 | entailment |
(y|(~((z>m))&(((z|o)&((a>b)&m))&(b>m)))) | (y&((z>~(a))|(y|f))) | 1 | 1 | 0 | 0 | entailment |
(f&(o|a)) | (y&((z>~(a))|(y|f))) | 0 | 0 | 0 | 0 | not entailment |
(y|(~((z>m))&(((z|o)&((a>b)&m))&(b>m)))) | ((b|(~(z)>z))>(~((o|f))>m)) | 0 | 1 | 0 | 0 | not entailment |
~(~((z|~(~(f))))) | (f|(((y>z)|~(z))&z)) | 1 | 1 | 0 | 0 | entailment |
((y>(a&y))&((o|a)&~(z))) | (z>((z|y)>a)) | 1 | 1 | 1 | 1 | entailment |
~(~((z|~(~(f))))) | (z>((z|y)>a)) | 0 | 1 | 0 | 0 | not entailment |
((y>(a&y))&((o|a)&~(z))) | (f|(((y>z)|~(z))&z)) | 0 | 1 | 0 | 0 | not entailment |
~((m>(f>(a>(b&o))))) | ((~(m)&((a&f)|(y|m)))>z) | 1 | 0 | 0 | 0 | entailment |
~((~(a)>(z|((f&b)|~((y|m)))))) | ~((b&~(~(~(((f&~(~(y)))>z)))))) | 1 | 0 | 1 | 0 | entailment |
~((m>(f>(a>(b&o))))) | ~((b&~(~(~(((f&~(~(y)))>z)))))) | 0 | 0 | 0 | 0 | not entailment |
~((~(a)>(z|((f&b)|~((y|m)))))) | ((~(m)&((a&f)|(y|m)))>z) | 0 | 1 | 1 | 0 | not entailment |
((b>b)>f) | ((o>b)>f) | 1 | 1 | 0 | 0 | entailment |
(~(((o&~(a))>y))&((a|f)>(o>f))) | ((f>o)>(((f|f)&((a>f)&a))>((b>f)&(b|b)))) | 1 | 0 | 0 | 0 | entailment |
((b>b)>f) | ((f>o)>(((f|f)&((a>f)&a))>((b>f)&(b|b)))) | 0 | 0 | 0 | 0 | not entailment |
(~(((o&~(a))>y))&((a|f)>(o>f))) | ((o>b)>f) | 0 | 1 | 0 | 0 | not entailment |
~((~(((o&f)|f))|(y&(((f|f)>(m|f))|f)))) | ((f>m)|(y>(z&a))) | 1 | 1 | 0 | 0 | entailment |
(b&y) | (a>y) | 1 | 1 | 0 | 0 | entailment |
~((~(((o&f)|f))|(y&(((f|f)>(m|f))|f)))) | (a>y) | 0 | 1 | 0 | 0 | not entailment |
(b&y) | ((f>m)|(y>(z&a))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(~(y)))>((f>o)|a))) | (((a&((f&b)&f))|((a&a)>b))|(~((o&y))>f)) | 1 | 0 | 0 | 0 | entailment |
(~(~((m>m)))&z) | (~(z)>((f&o)|z)) | 1 | 1 | 0 | 0 | entailment |
~((~(~(~(y)))>((f>o)|a))) | (~(z)>((f&o)|z)) | 0 | 1 | 0 | 0 | not entailment |
(~(~((m>m)))&z) | (((a&((f&b)&f))|((a&a)>b))|(~((o&y))>f)) | 0 | 0 | 0 | 0 | not entailment |
(m&y) | ((y>o)>~(~(~(~((b>((m>y)&m))))))) | 1 | 0 | 0 | 0 | entailment |
~(~(((f&f)&~((f>y))))) | ((m|(y>~(~(z))))&(~(y)|(a&(b&f)))) | 1 | 0 | 0 | 0 | entailment |
(m&y) | ((m|(y>~(~(z))))&(~(y)|(a&(b&f)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((f&f)&~((f>y))))) | ((y>o)>~(~(~(~((b>((m>y)&m))))))) | 0 | 0 | 0 | 0 | not entailment |
(((b&~((k&d)))&i)&~(~((l|(f|d))))) | ((((b&~(c))&k)|i)&i) | 1 | 1 | 0 | 0 | entailment |
(((k&(c|c))&(c>~(l)))|k) | ~(~((~((i&f))>k))) | 1 | 1 | 0 | 0 | entailment |
(((b&~((k&d)))&i)&~(~((l|(f|d))))) | ~(~((~((i&f))>k))) | 0 | 1 | 1 | 0 | not entailment |
(((k&(c|c))&(c>~(l)))|k) | ((((b&~(c))&k)|i)&i) | 0 | 1 | 0 | 0 | not entailment |
~(~((c>f))) | (~(b)>((f&c)|~(c))) | 1 | 0 | 0 | 0 | entailment |
(d&~(~(((l&f)>~(b))))) | (~(d)>~(((l>c)|f))) | 1 | 1 | 0 | 0 | entailment |
~(~((c>f))) | (~(d)>~(((l>c)|f))) | 0 | 0 | 0 | 0 | not entailment |
(d&~(~(((l&f)>~(b))))) | (~(b)>((f&c)|~(c))) | 0 | 1 | 0 | 0 | not entailment |
~((d|c)) | (~(d)|(b|(~(l)>i))) | 1 | 0 | 0 | 0 | entailment |
~(((c|(b|l))|(b|k))) | (i|~(((b>l)&b))) | 1 | 1 | 0 | 0 | entailment |
~((d|c)) | (i|~(((b>l)&b))) | 0 | 0 | 0 | 0 | not entailment |
~(((c|(b|l))|(b|k))) | (~(d)|(b|(~(l)>i))) | 0 | 1 | 0 | 0 | not entailment |
(i&(~(((c|(c&b))&(i&(d>d))))&k)) | (~(~(~((d&f))))|i) | 1 | 1 | 0 | 0 | entailment |
~(~(d)) | ((b>b)>d) | 1 | 1 | 0 | 0 | entailment |
(i&(~(((c|(c&b))&(i&(d>d))))&k)) | ((b>b)>d) | 0 | 1 | 1 | 0 | not entailment |
~(~(d)) | (~(~(~((d&f))))|i) | 0 | 0 | 0 | 0 | not entailment |
~(((l|~((f&i)))>(c|d))) | (((d&c)&(k>(b&f)))>((i|l)&(b|l))) | 1 | 0 | 0 | 0 | entailment |
((c|k)&k) | (~(((f&d)>~(b)))|(k&(i>i))) | 1 | 0 | 0 | 0 | entailment |
~(((l|~((f&i)))>(c|d))) | (~(((f&d)>~(b)))|(k&(i>i))) | 0 | 0 | 0 | 0 | not entailment |
((c|k)&k) | (((d&c)&(k>(b&f)))>((i|l)&(b|l))) | 0 | 0 | 0 | 0 | not entailment |
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