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 |
|---|---|---|---|---|---|---|
(((~((e|i))>(z&z))&~(e))&i) | (((i&e)|(i>(e|(i|i))))>~(~((e|z)))) | 0 | 0 | 1 | 0 | not entailment |
(~(i)&e) | (i|e) | 1 | 1 | 1 | 0 | entailment |
((e>~(i))&(z|z)) | (((z|(i|i))|(z&(e|z)))|~(((z|e)|e))) | 1 | 0 | 1 | 0 | entailment |
(~(i)&e) | (((z|(i|i))|(z&(e|z)))|~(((z|e)|e))) | 0 | 0 | 0 | 0 | not entailment |
((e>~(i))&(z|z)) | (i|e) | 0 | 1 | 1 | 0 | not entailment |
~(((((i&e)|e)&(i&~(z)))>(e>(e&z)))) | (i>e) | 1 | 1 | 1 | 0 | entailment |
(z&(i&~(((e>(i|(z>e)))>(e&e))))) | ~(e) | 1 | 1 | 1 | 1 | entailment |
~(((((i&e)|e)&(i&~(z)))>(e>(e&z)))) | ~(e) | 0 | 1 | 1 | 1 | not entailment |
(z&(i&~(((e>(i|(z>e)))>(e&e))))) | (i>e) | 0 | 1 | 1 | 0 | not entailment |
(~(~(((i&e)&e)))&(z>~(i))) | ((((i|e)&(e>i))>((e&e)|(z|z)))>i) | 1 | 0 | 1 | 0 | entailment |
(~(e)&(e>e)) | ((~((i|e))|z)|(~(i)|~(((e&e)|z)))) | 1 | 0 | 0 | 0 | entailment |
(~(~(((i&e)&e)))&(z>~(i))) | ((~((i|e))|z)|(~(i)|~(((e&e)|z)))) | 0 | 0 | 1 | 0 | not entailment |
(~(e)&(e>e)) | ((((i|e)&(e>i))>((e&e)|(z|z)))>i) | 0 | 0 | 0 | 0 | not entailment |
(e|(i&e)) | (e&((z&(z|~(i)))|(i>e))) | 1 | 0 | 0 | 0 | entailment |
((((e&(i>i))|e)|(z>e))>~((e|e))) | (e>(i|~((z&z)))) | 1 | 1 | 1 | 0 | entailment |
(e|(i&e)) | (e>(i|~((z&z)))) | 0 | 0 | 0 | 0 | not entailment |
((((e&(i>i))|e)|(z>e))>~((e|e))) | (e&((z&(z|~(i)))|(i>e))) | 0 | 1 | 1 | 0 | not entailment |
(e&e) | ~(~(e)) | 1 | 0 | 1 | 1 | entailment |
((z|~(e))&~(z)) | (e>~(((~(z)&e)&~(i)))) | 1 | 0 | 0 | 0 | entailment |
(e&e) | (e>~(((~(z)&e)&~(i)))) | 0 | 0 | 0 | 0 | not entailment |
((z|~(e))&~(z)) | ~(~(e)) | 0 | 1 | 1 | 0 | not entailment |
~(((z|e)&((i|i)>z))) | (~((z&z))|(i|i)) | 1 | 1 | 1 | 1 | entailment |
~(((i>i)&((z&e)>i))) | ((z|(e&z))&e) | 1 | 1 | 1 | 1 | entailment |
~(((z|e)&((i|i)>z))) | ((z|(e&z))&e) | 0 | 1 | 1 | 0 | not entailment |
~(((i>i)&((z&e)>i))) | (~((z&z))|(i|i)) | 0 | 1 | 1 | 0 | not entailment |
~(((z|((z>i)&z))&(i|z))) | (~((i|i))|~((((i|i)&~((e>~(z))))&i))) | 1 | 0 | 0 | 0 | entailment |
~(~((~(~((e>(z|e))))&~(~((z|z)))))) | ((i>z)&z) | 1 | 1 | 0 | 0 | entailment |
~(((z|((z>i)&z))&(i|z))) | ((i>z)&z) | 0 | 1 | 1 | 1 | not entailment |
~(~((~(~((e>(z|e))))&~(~((z|z)))))) | (~((i|i))|~((((i|i)&~((e>~(z))))&i))) | 0 | 1 | 0 | 0 | not entailment |
(~((w>((f&u)&(o|u))))&((w|(s&f))&w)) | ((u>s)>((u&u)>(s&w))) | 1 | 1 | 1 | 0 | entailment |
(s&(u&~((f&o)))) | ((s&o)|(u|~(o))) | 1 | 1 | 1 | 0 | entailment |
(~((w>((f&u)&(o|u))))&((w|(s&f))&w)) | ((s&o)|(u|~(o))) | 0 | 1 | 1 | 0 | not entailment |
(s&(u&~((f&o)))) | ((u>s)>((u&u)>(s&w))) | 0 | 0 | 0 | 0 | not entailment |
((((s&u)&s)|s)&(((s&u)&f)>(s&~(u)))) | (s|~(u)) | 1 | 1 | 1 | 1 | entailment |
(~((o&s))&w) | (~(((w|o)>~((u|((w|u)|(u>f))))))|u) | 1 | 0 | 0 | 0 | entailment |
((((s&u)&s)|s)&(((s&u)&f)>(s&~(u)))) | (~(((w|o)>~((u|((w|u)|(u>f))))))|u) | 0 | 1 | 0 | 0 | not entailment |
(~((o&s))&w) | (s|~(u)) | 0 | 1 | 0 | 0 | not entailment |
((u|(f|f))&~((~((w>w))|u))) | ~(~((f&f))) | 1 | 1 | 1 | 1 | entailment |
(s|w) | ~(~((f&f))) | 0 | 0 | 0 | 0 | not entailment |
((u|(f|f))&~((~((w>w))|u))) | (w|s) | 0 | 1 | 0 | 0 | not entailment |
~(~((~(~(w))&(w&(f&(s&(s|(f>f)))))))) | ~(~(((f>w)>w))) | 1 | 1 | 1 | 0 | entailment |
(((s>(u&w))|u)&~((s|(f|w)))) | ~((((s>f)|s)&((w&f)|f))) | 1 | 1 | 1 | 0 | entailment |
~(~((~(~(w))&(w&(f&(s&(s|(f>f)))))))) | ~((((s>f)|s)&((w&f)|f))) | 0 | 1 | 1 | 0 | not entailment |
(((s>(u&w))|u)&~((s|(f|w)))) | ~(~(((f>w)>w))) | 0 | 1 | 1 | 0 | not entailment |
~(((s&o)>((f&f)|(((s|s)>(s>s))&f)))) | (((((((u>o)&s)&(s|f))|f)|u)>(o&(o&f)))|o) | 1 | 0 | 0 | 0 | entailment |
((w|(f>w))&(~(o)&(w>s))) | (~(u)>(~(~(~(~(f))))|(o>u))) | 1 | 0 | 0 | 0 | entailment |
~(((s&o)>((f&f)|(((s|s)>(s>s))&f)))) | (~(u)>(~(~(~(~(f))))|(o>u))) | 0 | 1 | 0 | 0 | not entailment |
((w|(f>w))&(~(o)&(w>s))) | (((((((u>o)&s)&(s|f))|f)|u)>(o&(o&f)))|o) | 0 | 0 | 0 | 0 | not entailment |
(((f&(w|w))&s)&(((~(s)&u)&u)|f)) | ((~((o&~((w|f))))>(w&(u|s)))>s) | 1 | 1 | 0 | 0 | entailment |
~(((((u|f)>s)|w)&~((s&u)))) | ((o&w)>(u|~((~((f|(w>f)))|(w|o))))) | 1 | 0 | 0 | 0 | entailment |
(((f&(w|w))&s)&(((~(s)&u)&u)|f)) | ((o&w)>(u|~((~((f|(w>f)))|(w|o))))) | 0 | 0 | 0 | 0 | not entailment |
~(((((u|f)>s)|w)&~((s&u)))) | ((~((o&~((w|f))))>(w&(u|s)))>s) | 0 | 0 | 0 | 0 | not entailment |
(u&((u&(u>w))&s)) | (~(((w&f)>u))>((w&((w|f)>u))&f)) | 1 | 0 | 0 | 0 | entailment |
(s&~((~((o&(((u>w)&s)&f)))&~(f)))) | (((o&f)|~(u))|((o&s)|f)) | 1 | 1 | 1 | 1 | entailment |
(u&((u&(u>w))&s)) | (((o&f)|~(u))|((o&s)|f)) | 0 | 0 | 0 | 0 | not entailment |
(s&~((~((o&(((u>w)&s)&f)))&~(f)))) | (~(((w&f)>u))>((w&((w|f)>u))&f)) | 0 | 1 | 1 | 0 | not entailment |
(~((s|(~(o)>o)))>~((w&(u|w)))) | (((~(w)|o)|u)|s) | 1 | 1 | 1 | 0 | entailment |
~((((s|f)|s)|(u&(o&o)))) | ((((s&u)|((o&~(w))&u))&(u&u))>((u&u)&s)) | 1 | 0 | 0 | 0 | entailment |
(~((s|(~(o)>o)))>~((w&(u|w)))) | ((((s&u)|((o&~(w))&u))&(u&u))>((u&u)&s)) | 0 | 0 | 1 | 0 | not entailment |
~((((s|f)|s)|(u&(o&o)))) | (((~(w)|o)|u)|s) | 0 | 1 | 0 | 0 | not entailment |
((f&s)&(u>w)) | (~(~((f&(f|~(f)))))|(w>(u>s))) | 1 | 0 | 1 | 0 | entailment |
((u&(o&o))|(o&(s&w))) | ~(~((o|(~((u&f))&~(((f&u)>(o|u))))))) | 1 | 0 | 0 | 0 | entailment |
((f&s)&(u>w)) | ~(~((o|(~((u&f))&~(((f&u)>(o|u))))))) | 0 | 0 | 0 | 0 | not entailment |
((u&(o&o))|(o&(s&w))) | (~(~((f&(f|~(f)))))|(w>(u>s))) | 0 | 0 | 0 | 0 | not entailment |
((s>f)&(s&s)) | ((~(s)>(u|(o&f)))&f) | 1 | 0 | 0 | 0 | entailment |
~(~((~(~(u))&w))) | (w|((u|u)|u)) | 1 | 1 | 1 | 1 | entailment |
((s>f)&(s&s)) | (w|((u|u)|u)) | 0 | 1 | 0 | 0 | not entailment |
~(~((~(~(u))&w))) | ((~(s)>(u|(o&f)))&f) | 0 | 1 | 0 | 0 | not entailment |
~(~((((w>f)>(u|f))|(((u|o)&w)|o)))) | (~(((o|(u|s))|(f|w)))>u) | 1 | 1 | 0 | 0 | entailment |
~(o) | ((o|((w>u)|(o|o)))>~((((u>u)&f)&o))) | 1 | 0 | 0 | 0 | entailment |
~(~((((w>f)>(u|f))|(((u|o)&w)|o)))) | ((o|((w>u)|(o|o)))>~((((u>u)&f)&o))) | 0 | 1 | 1 | 0 | not entailment |
~(o) | (~(((o|(u|s))|(f|w)))>u) | 0 | 0 | 0 | 0 | not entailment |
~((~(n)>(o>s))) | ((s&s)>(((n>s)|~((t|n)))>t)) | 1 | 0 | 0 | 0 | entailment |
~((z>~(d))) | (~(~(s))|(z|t)) | 1 | 0 | 0 | 0 | entailment |
~((~(n)>(o>s))) | (~(~(s))|(z|t)) | 0 | 1 | 0 | 0 | not entailment |
~((z>~(d))) | ((s&s)>(((n>s)|~((t|n)))>t)) | 0 | 0 | 0 | 0 | not entailment |
((((z>z)|(l|(z|t)))&(d&t))&o) | ((l>d)|~((n>((z>r)&t)))) | 1 | 1 | 0 | 0 | entailment |
(l&(d|((~(d)>d)>z))) | ((~((z>l))&d)>(~((r&((l>d)>t)))&n)) | 1 | 0 | 0 | 0 | entailment |
((((z>z)|(l|(z|t)))&(d&t))&o) | ((~((z>l))&d)>(~((r&((l>d)>t)))&n)) | 0 | 0 | 0 | 0 | not entailment |
(l&(d|((~(d)>d)>z))) | ((l>d)|~((n>((z>r)&t)))) | 0 | 0 | 0 | 0 | not entailment |
~((((z>l)|l)|(s|r))) | ~((s&~(d))) | 1 | 1 | 0 | 0 | entailment |
((t&r)&((r>o)|t)) | (s|r) | 1 | 1 | 0 | 0 | entailment |
~((((z>l)|l)|(s|r))) | (s|r) | 0 | 1 | 1 | 0 | not entailment |
((t&r)&((r>o)|t)) | ~((s&~(d))) | 0 | 1 | 0 | 0 | not entailment |
~((t>l)) | (~(s)|t) | 1 | 1 | 0 | 0 | entailment |
((~((z&l))|((s&(d>l))|n))&s) | (s|~((((t&d)&r)|t))) | 1 | 1 | 0 | 0 | entailment |
~((t>l)) | (s|~((((t&d)&r)|t))) | 0 | 0 | 0 | 0 | not entailment |
((~((z&l))|((s&(d>l))|n))&s) | (~(s)|t) | 0 | 1 | 0 | 0 | not entailment |
((n&(l&o))&(t>~(~((~(t)&l))))) | ((t&(o|l))>~(s)) | 1 | 1 | 0 | 0 | entailment |
~(((r|n)|(z|~(~((l|(d|z))))))) | (~(z)>((s>(s&~((l&z))))&~(r))) | 1 | 1 | 0 | 0 | entailment |
((n&(l&o))&(t>~(~((~(t)&l))))) | (~(z)>((s>(s&~((l&z))))&~(r))) | 0 | 1 | 0 | 0 | not entailment |
~(((r|n)|(z|~(~((l|(d|z))))))) | ((t&(o|l))>~(s)) | 0 | 1 | 0 | 0 | not entailment |
(l&r) | ((t|l)|((n|((o>t)&t))&t)) | 1 | 0 | 0 | 0 | entailment |
(d&o) | (o|n) | 1 | 1 | 0 | 0 | entailment |
(l&r) | (o|n) | 0 | 1 | 0 | 0 | not entailment |
(d&o) | ((t|l)|((n|((o>t)&t))&t)) | 0 | 0 | 0 | 0 | not entailment |
((t&o)&((z>d)>~((t>d)))) | ((r|~((o>(s&r))))&(z>(z&t))) | 1 | 0 | 0 | 0 | entailment |
(~(d)>s) | (d|s) | 1 | 1 | 1 | 1 | entailment |
((t&o)&((z>d)>~((t>d)))) | (d|s) | 0 | 1 | 0 | 0 | not entailment |
(~(d)>s) | ((r|~((o>(s&r))))&(z>(z&t))) | 0 | 0 | 0 | 0 | not entailment |
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