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 |
|---|---|---|---|---|---|---|
((y&u)&q) | ((~(~(o))>u)|(((f|~(y))&((o>f)|q))>u)) | 1 | 0 | 0 | 0 | entailment |
~((u|q)) | ~((~(~(q))&q)) | 1 | 0 | 1 | 1 | entailment |
((y&u)&q) | ~((~(~(q))&q)) | 0 | 0 | 1 | 0 | not entailment |
~((u|q)) | ((~(~(o))>u)|(((f|~(y))&((o>f)|q))>u)) | 0 | 0 | 0 | 0 | not entailment |
(u&~(((u|q)&((q|~(o))>(y>q))))) | (((~(y)&y)|~((~(f)>~(v))))>y) | 1 | 1 | 0 | 0 | entailment |
(o&(v|(f>u))) | ((~(~(~(~(y))))&f)|~(~(o))) | 1 | 0 | 0 | 0 | entailment |
(u&~(((u|q)&((q|~(o))>(y>q))))) | ((~(~(~(~(y))))&f)|~(~(o))) | 0 | 1 | 0 | 0 | not entailment |
(o&(v|(f>u))) | (((~(y)&y)|~((~(f)>~(v))))>y) | 0 | 0 | 0 | 0 | not entailment |
((f|o)&((o&(q|v))&y)) | (y|o) | 1 | 1 | 1 | 1 | entailment |
(~(v)&(u|y)) | (((f>u)&~((~((f>~(o)))|(v>(q&y)))))>u) | 1 | 0 | 0 | 0 | entailment |
((f|o)&((o&(q|v))&y)) | (((f>u)&~((~((f>~(o)))|(v>(q&y)))))>u) | 0 | 0 | 0 | 0 | not entailment |
(~(v)&(u|y)) | (y|o) | 0 | 1 | 0 | 0 | not entailment |
((((d&(e|(d>m)))>o)&d)&(d&t)) | (e>d) | 1 | 1 | 1 | 1 | entailment |
~(t) | ~(((t>((d>m)&o))>((e&t)&o))) | 1 | 0 | 0 | 0 | entailment |
((((d&(e|(d>m)))>o)&d)&(d&t)) | ~(((t>((d>m)&o))>((e&t)&o))) | 0 | 1 | 1 | 0 | not entailment |
~(t) | (e>d) | 0 | 1 | 0 | 0 | not entailment |
~(((t&(((t>m)>d)&m))|(z>((o&y)|(y|d))))) | (~(~((t|((e|o)>(o>d)))))>~((o&y))) | 1 | 1 | 0 | 0 | entailment |
((((~(e)&~(z))|y)&~(~((e&m))))&y) | ((m|y)>y) | 1 | 1 | 1 | 0 | entailment |
~(((t&(((t>m)>d)&m))|(z>((o&y)|(y|d))))) | ((m|y)>y) | 0 | 1 | 1 | 0 | not entailment |
((((~(e)&~(z))|y)&~(~((e&m))))&y) | (~(~((t|((e|o)>(o>d)))))>~((o&y))) | 0 | 1 | 0 | 0 | not entailment |
~((y&y)) | (((~(~(d))>m)>~(((o>o)>y)))|m) | 1 | 0 | 0 | 0 | entailment |
(((z|~(e))>z)&~(z)) | ((((z|d)|y)&(d>y))>y) | 1 | 1 | 0 | 0 | entailment |
~((y&y)) | ((((z|d)|y)&(d>y))>y) | 0 | 0 | 0 | 0 | not entailment |
(((z|~(e))>z)&~(z)) | (((~(~(d))>m)>~(((o>o)>y)))|m) | 0 | 0 | 0 | 0 | not entailment |
((~((o|y))>z)>(~(e)&((d&m)&(o>e)))) | ((((z|y)|~(o))&(o&m))>~(((m>o)&~(z)))) | 1 | 0 | 1 | 0 | entailment |
((((d&y)|t)&d)&o) | (e|o) | 1 | 1 | 0 | 0 | entailment |
((~((o|y))>z)>(~(e)&((d&m)&(o>e)))) | (e|o) | 0 | 1 | 1 | 0 | not entailment |
((((d&y)|t)&d)&o) | ((((z|y)|~(o))&(o&m))>~(((m>o)&~(z)))) | 0 | 0 | 0 | 0 | not entailment |
(~((~(~(e))|(y&(e>(d&m)))))&d) | ((y&(t&z))|d) | 1 | 1 | 0 | 0 | entailment |
(z&(~(d)&~((d|y)))) | ((~((d&~(~(z))))|~(m))|(e&m)) | 1 | 0 | 0 | 0 | entailment |
(~((~(~(e))|(y&(e>(d&m)))))&d) | ((~((d&~(~(z))))|~(m))|(e&m)) | 0 | 1 | 0 | 0 | not entailment |
(z&(~(d)&~((d|y)))) | ((y&(t&z))|d) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(d))>(~(t)|(e&(t>d))))) | ((y>((e&((z&d)>z))&~(((o&t)&m))))>t) | 1 | 0 | 0 | 0 | entailment |
(o&~((z>y))) | (~((((e&t)|m)&y))|~(~(~(~((z>o)))))) | 1 | 0 | 0 | 0 | entailment |
~((~(~(d))>(~(t)|(e&(t>d))))) | (~((((e&t)|m)&y))|~(~(~(~((z>o)))))) | 0 | 0 | 0 | 0 | not entailment |
(o&~((z>y))) | ((y>((e&((z&d)>z))&~(((o&t)&m))))>t) | 0 | 0 | 0 | 0 | not entailment |
(((m>~(y))>(e&m))&~((e&(((o&o)&z)|e)))) | (((e&(o&o))|t)|(y>m)) | 1 | 1 | 0 | 0 | entailment |
(~(((y&o)|z))&~(d)) | ((z>~(y))|(e&o)) | 1 | 1 | 0 | 0 | entailment |
(((m>~(y))>(e&m))&~((e&(((o&o)&z)|e)))) | ((z>~(y))|(e&o)) | 0 | 1 | 1 | 0 | not entailment |
(~(((y&o)|z))&~(d)) | (((e&(o&o))|t)|(y>m)) | 0 | 1 | 0 | 0 | not entailment |
(d|~(t)) | (d|(t>m)) | 1 | 1 | 0 | 0 | entailment |
((t&((z&z)&((d&y)>z)))&o) | (z|m) | 1 | 1 | 0 | 0 | entailment |
(d|~(t)) | (z|m) | 0 | 1 | 0 | 0 | not entailment |
((t&((z&z)&((d&y)>z)))&o) | (d|(t>m)) | 0 | 1 | 0 | 0 | not entailment |
(~(d)&((~(y)>((o&~(o))|t))&((m&y)&e))) | (e|(y>o)) | 1 | 1 | 1 | 0 | entailment |
~(((~((y&(z|((o&y)>m))))|d)>e)) | (e>~(((t>y)|t))) | 1 | 1 | 0 | 0 | entailment |
(~(d)&((~(y)>((o&~(o))|t))&((m&y)&e))) | (e>~(((t>y)|t))) | 0 | 1 | 1 | 0 | not entailment |
~(((~((y&(z|((o&y)>m))))|d)>e)) | (e|(y>o)) | 0 | 1 | 1 | 0 | not entailment |
((z>z)>o) | ~(~(((~(d)>((t&e)|t))>((m&o)|(y|o))))) | 1 | 0 | 0 | 0 | entailment |
~((m|z)) | ((d>~(m))&(m>d)) | 1 | 0 | 0 | 0 | entailment |
((z>z)>o) | ((d>~(m))&(m>d)) | 0 | 0 | 0 | 0 | not entailment |
~((m|z)) | ~(~(((~(d)>((t&e)|t))>((m&o)|(y|o))))) | 0 | 0 | 0 | 0 | not entailment |
~((o>d)) | (o|(m&m)) | 1 | 1 | 0 | 0 | entailment |
(m>((y>z)&~(z))) | (((z&m)&((t>e)>(m&z)))>y) | 1 | 0 | 0 | 0 | entailment |
~((o>d)) | (((z&m)&((t>e)>(m&z)))>y) | 0 | 0 | 0 | 0 | not entailment |
(m>((y>z)&~(z))) | (o|(m&m)) | 0 | 1 | 0 | 0 | not entailment |
~(o) | (((o&(y>t))&y)>(d|z)) | 1 | 0 | 0 | 0 | entailment |
(e&y) | ~(~(((e|z)>(~(y)>~(m))))) | 1 | 0 | 0 | 0 | entailment |
~(o) | ~(~(((e|z)>(~(y)>~(m))))) | 0 | 0 | 0 | 0 | not entailment |
(e&y) | (((o&(y>t))&y)>(d|z)) | 0 | 0 | 0 | 0 | not entailment |
(m&e) | ((~((t&(m|o)))>y)|(d>e)) | 1 | 0 | 0 | 0 | entailment |
~((((y>(t>d))>t)|(o>m))) | ~((t&((t>t)|~((o|m))))) | 1 | 1 | 1 | 0 | entailment |
(m&e) | ~((t&((t>t)|~((o|m))))) | 0 | 0 | 0 | 0 | not entailment |
~((((y>(t>d))>t)|(o>m))) | ((~((t&(m|o)))>y)|(d>e)) | 0 | 1 | 0 | 0 | not entailment |
((o>z)&(z&(y&d))) | (~(~((((d>o)&e)&t)))|y) | 1 | 0 | 0 | 0 | entailment |
((z>z)&~(t)) | ~(((t>d)&t)) | 1 | 1 | 0 | 0 | entailment |
((o>z)&(z&(y&d))) | ~(((t>d)&t)) | 0 | 1 | 0 | 0 | not entailment |
((z>z)&~(t)) | (~(~((((d>o)&e)&t)))|y) | 0 | 0 | 0 | 0 | not entailment |
~(m) | ~(((m&((o|z)&(t>e)))&(d&(~((o&z))&m)))) | 1 | 0 | 0 | 0 | entailment |
~(((~((d>((t&e)&e)))&(d|t))>o)) | ((y>(z|t))>(d&(~((m&o))|y))) | 1 | 1 | 0 | 0 | entailment |
~(m) | ((y>(z|t))>(d&(~((m&o))|y))) | 0 | 0 | 0 | 0 | not entailment |
~(((~((d>((t&e)&e)))&(d|t))>o)) | ~(((m&((o|z)&(t>e)))&(d&(~((o&z))&m)))) | 0 | 0 | 0 | 0 | not entailment |
(e>~(m)) | ~(((t&m)&e)) | 1 | 0 | 0 | 0 | entailment |
(e&(~(y)>y)) | (z>e) | 1 | 1 | 0 | 0 | entailment |
(e>~(m)) | (z>e) | 0 | 1 | 0 | 0 | not entailment |
(e&(~(y)>y)) | ~(((t&m)&e)) | 0 | 1 | 0 | 0 | not entailment |
(~(m)&((y>m)>c)) | ((s&(a|d))|(m>a)) | 1 | 1 | 0 | 0 | entailment |
~((s|(g>c))) | ~(~(~(~(((s>c)&((o>s)>g)))))) | 1 | 0 | 0 | 0 | entailment |
(~(m)&((y>m)>c)) | ~(~(~(~(((s>c)&((o>s)>g)))))) | 0 | 0 | 0 | 0 | not entailment |
~((s|(g>c))) | ((s&(a|d))|(m>a)) | 0 | 0 | 0 | 0 | not entailment |
~(~(o)) | ((s|o)|(d>((a|d)&m))) | 1 | 0 | 0 | 0 | entailment |
~((y|m)) | ((s&d)>(((c|y)&y)>((y&k)&s))) | 1 | 0 | 0 | 0 | entailment |
~(~(o)) | ((s&d)>(((c|y)&y)>((y&k)&s))) | 0 | 0 | 0 | 0 | not entailment |
~((y|m)) | ((s|o)|(d>((a|d)&m))) | 0 | 0 | 0 | 0 | not entailment |
(y&(d|~(((d|y)>~((s&~((s|(a|y))))))))) | ((y>(a&c))>(~((~((o|s))>(d|(k|o))))>a)) | 1 | 1 | 0 | 0 | entailment |
~((m|((a>(a>a))>g))) | (o|(~(s)|((g&s)>(c>k)))) | 1 | 0 | 0 | 0 | entailment |
(y&(d|~(((d|y)>~((s&~((s|(a|y))))))))) | (o|(~(s)|((g&s)>(c>k)))) | 0 | 1 | 0 | 0 | not entailment |
~((m|((a>(a>a))>g))) | ((y>(a&c))>(~((~((o|s))>(d|(k|o))))>a)) | 0 | 0 | 0 | 0 | not entailment |
(~((((o&g)>y)>~((y|c))))&y) | (y|(k&d)) | 1 | 1 | 0 | 0 | entailment |
~(~((~(s)&((m>o)|s)))) | ((y&s)>((o>k)&(s>d))) | 1 | 1 | 0 | 0 | entailment |
(~((((o&g)>y)>~((y|c))))&y) | ((y&s)>((o>k)&(s>d))) | 0 | 1 | 0 | 0 | not entailment |
~(~((~(s)&((m>o)|s)))) | (y|(k&d)) | 0 | 1 | 0 | 0 | not entailment |
(s&(g|m)) | ~(~((s|y))) | 1 | 0 | 0 | 0 | entailment |
((g|(o&(a&d)))&a) | ((g|g)|o) | 1 | 1 | 1 | 1 | entailment |
(s&(g|m)) | ((g|g)|o) | 0 | 1 | 0 | 0 | not entailment |
((g|(o&(a&d)))&a) | ~(~((s|y))) | 0 | 1 | 0 | 0 | not entailment |
(c&((y&g)>(m>(o|d)))) | (~(((g&(k&k))|(o>c)))>((d>m)>~(d))) | 1 | 0 | 0 | 0 | entailment |
~(((~((m&k))|~(~(~((c|o)))))|(c&c))) | (~(c)|(k|g)) | 1 | 1 | 0 | 0 | entailment |
(c&((y&g)>(m>(o|d)))) | (~(c)|(k|g)) | 0 | 1 | 0 | 0 | not entailment |
~(((~((m&k))|~(~(~((c|o)))))|(c&c))) | (~(((g&(k&k))|(o>c)))>((d>m)>~(d))) | 0 | 1 | 0 | 0 | not entailment |
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