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 |
---|---|---|---|---|---|---|
~((k|(e>~(~((z&(z>e))))))) | ~(~(k)) | 0 | 1 | 1 | 0 | not entailment |
~((k>z)) | (e&~((k|(k&(f>(f&f)))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((e&k)))&(e&k)) | ~((((~(e)|e)>((z&k)&~(e)))&(z|(k&f)))) | 1 | 0 | 0 | 0 | entailment |
(z|z) | (z|~((e|~((k>f))))) | 1 | 0 | 0 | 0 | entailment |
(~(~((e&k)))&(e&k)) | (z|~((e|~((k>f))))) | 0 | 1 | 0 | 0 | not entailment |
(z|z) | ~((((~(e)|e)>((z&k)&~(e)))&(z|(k&f)))) | 0 | 0 | 0 | 0 | not entailment |
((z&((e>(f>f))|f))&(~(e)&(f&z))) | (((z>k)&(((f>k)>f)|((k>(f|k))&f)))>z) | 1 | 0 | 0 | 0 | entailment |
(e|~((~((e>z))>(e|k)))) | ((~(((k|~((k|e)))|f))&(k>(e&f)))|(z>e)) | 1 | 0 | 0 | 0 | entailment |
((z&((e>(f>f))|f))&(~(e)&(f&z))) | ((~(((k|~((k|e)))|f))&(k>(e&f)))|(z>e)) | 0 | 0 | 0 | 0 | not entailment |
(e|~((~((e>z))>(e|k)))) | (((z>k)&(((f>k)>f)|((k>(f|k))&f)))>z) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(e))) | ((e&(~(e)|~((e>(e>k)))))>k) | 1 | 0 | 0 | 0 | entailment |
(e|((e>((e|(f|e))|z))>(~((e&~(f)))>e))) | (z>e) | 1 | 1 | 1 | 1 | entailment |
~(~(~(e))) | (z>e) | 0 | 1 | 0 | 0 | not entailment |
(e|((e>((e|(f|e))|z))>(~((e&~(f)))>e))) | ((e&(~(e)|~((e>(e>k)))))>k) | 0 | 1 | 0 | 0 | not entailment |
~(((~(k)|k)&(e>~(z)))) | ((e|(z|(z|f)))|e) | 1 | 1 | 0 | 0 | entailment |
~(f) | ~((f|(f&e))) | 1 | 0 | 0 | 0 | entailment |
~(((~(k)|k)&(e>~(z)))) | ~((f|(f&e))) | 0 | 1 | 0 | 0 | not entailment |
~(f) | ((e|(z|(z|f)))|e) | 0 | 0 | 0 | 0 | not entailment |
~((((e>(f|k))>~((z&k)))|~(~(~(f))))) | (((((e>e)&((e|(k>z))>z))&z)>f)>(f|f)) | 1 | 1 | 1 | 0 | entailment |
~((((z&e)>k)>(~(k)>~((k|~(f)))))) | (f>((k|e)&((~(k)>z)>((e&z)&z)))) | 1 | 1 | 1 | 0 | entailment |
~((((e>(f|k))>~((z&k)))|~(~(~(f))))) | (f>((k|e)&((~(k)>z)>((e&z)&z)))) | 0 | 1 | 1 | 0 | not entailment |
~((((z&e)>k)>(~(k)>~((k|~(f)))))) | (((((e>e)&((e|(k>z))>z))&z)>f)>(f|f)) | 0 | 1 | 1 | 0 | not entailment |
(e&e) | (((k|f)>(~((k|e))&z))>~(~(e))) | 1 | 0 | 0 | 0 | entailment |
(z&((~(z)>(e|e))|(z|~(((k|z)&e))))) | ((k>z)&z) | 1 | 1 | 1 | 1 | entailment |
(e&e) | ((k>z)&z) | 0 | 0 | 0 | 0 | not entailment |
(z&((~(z)>(e|e))|(z|~(((k|z)&e))))) | (((k|f)>(~((k|e))&z))>~(~(e))) | 0 | 1 | 0 | 0 | not entailment |
((((f>f)>~((z>f)))&e)&k) | ((e>e)&e) | 1 | 1 | 1 | 0 | entailment |
((((k>e)>k)&k)&~(~((f&(f>z))))) | (f|(e&f)) | 1 | 1 | 1 | 0 | entailment |
((((f>f)>~((z>f)))&e)&k) | (f|(e&f)) | 0 | 1 | 1 | 1 | not entailment |
((((k>e)>k)&k)&~(~((f&(f>z))))) | ((e>e)&e) | 0 | 1 | 1 | 0 | not entailment |
~(z) | ((e&z)|~(z)) | 1 | 0 | 0 | 0 | entailment |
(((((e&k)&k)>(k|f))>~((e|k)))|(f&~(f))) | (e>k) | 1 | 1 | 1 | 1 | entailment |
~(z) | (e>k) | 0 | 1 | 0 | 0 | not entailment |
(((((e&k)&k)>(k|f))>~((e|k)))|(f&~(f))) | ((e&z)|~(z)) | 0 | 1 | 0 | 0 | not entailment |
(f&(e&k)) | (~((((f&k)|f)|((z>f)|k)))>(z>(k&~(f)))) | 1 | 0 | 0 | 0 | entailment |
(~((z>e))&(f>e)) | (~((f&e))|((~(~((k>e)))|k)&z)) | 1 | 0 | 0 | 0 | entailment |
(f&(e&k)) | (~((f&e))|((~(~((k>e)))|k)&z)) | 0 | 0 | 0 | 0 | not entailment |
(~((z>e))&(f>e)) | (~((((f&k)|f)|((z>f)|k)))>(z>(k&~(f)))) | 0 | 0 | 0 | 0 | not entailment |
((((k&k)>(e>e))>k)|k) | (f|k) | 1 | 1 | 0 | 0 | entailment |
(~(((k|~(z))|k))&z) | ((k|~(((e>(e|f))|f)))>(k>f)) | 1 | 0 | 0 | 0 | entailment |
((((k&k)>(e>e))>k)|k) | ((k|~(((e>(e|f))|f)))>(k>f)) | 0 | 0 | 0 | 0 | not entailment |
(~(((k|~(z))|k))&z) | (f|k) | 0 | 1 | 0 | 0 | not entailment |
((~(f)&z)|k) | (~(~((z|k)))|~(((e&(f>~(e)))|(z&k)))) | 1 | 0 | 0 | 0 | entailment |
(((~(f)&((z&k)|e))|e)&(~(k)&(e|e))) | (k|(((~(~(k))>(f&e))&z)>e)) | 1 | 1 | 1 | 0 | entailment |
((~(f)&z)|k) | (k|(((~(~(k))>(f&e))&z)>e)) | 0 | 0 | 0 | 0 | not entailment |
(((~(f)&((z&k)|e))|e)&(~(k)&(e|e))) | (~(~((z|k)))|~(((e&(f>~(e)))|(z&k)))) | 0 | 0 | 1 | 0 | not entailment |
~(~((f&((z>e)&((z|f)>~(e)))))) | (e|(~(~(((e|z)|(z&f))))|f)) | 1 | 1 | 1 | 0 | entailment |
~((z|~(~(~(~((k>f))))))) | ~(f) | 1 | 1 | 1 | 1 | entailment |
~(~((f&((z>e)&((z|f)>~(e)))))) | ~(f) | 0 | 1 | 1 | 1 | not entailment |
~((z|~(~(~(~((k>f))))))) | (e|(~(~(((e|z)|(z&f))))|f)) | 0 | 1 | 0 | 0 | not entailment |
((e>e)&((l&(e>z))&h)) | (h|((l|r)>(e|(~(r)&x)))) | 1 | 0 | 0 | 0 | entailment |
~(((x>c)|a)) | ~((~((((l>(c&a))&a)>(b>z)))&h)) | 1 | 0 | 0 | 0 | entailment |
((e>e)&((l&(e>z))&h)) | ~((~((((l>(c&a))&a)>(b>z)))&h)) | 0 | 0 | 0 | 0 | not entailment |
~(((x>c)|a)) | (h|((l|r)>(e|(~(r)&x)))) | 0 | 0 | 0 | 0 | not entailment |
(c&(z&u)) | (h|(((r|u)|(u&r))>(u|a))) | 1 | 0 | 0 | 0 | entailment |
~((((e|b)&z)>b)) | (~(b)>e) | 1 | 1 | 1 | 1 | entailment |
(c&(z&u)) | (~(b)>e) | 0 | 1 | 0 | 0 | not entailment |
~((((e|b)&z)>b)) | (h|(((r|u)|(u&r))>(u|a))) | 0 | 0 | 0 | 0 | not entailment |
((((a&b)>h)&((x&a)&~(r)))|((r&u)&~(x))) | (r|x) | 1 | 1 | 1 | 1 | entailment |
~((c|~(((r>(u|c))>(u&u))))) | (~(c)|(((z>~(c))>(c>x))&~(~((e|h))))) | 1 | 0 | 0 | 0 | entailment |
((((a&b)>h)&((x&a)&~(r)))|((r&u)&~(x))) | (~(c)|(((z>~(c))>(c>x))&~(~((e|h))))) | 0 | 1 | 0 | 0 | not entailment |
~((c|~(((r>(u|c))>(u&u))))) | (r|x) | 0 | 1 | 0 | 0 | not entailment |
(~(((u>(z|h))&z))&(u|~(x))) | (~((~(z)|(~((x|h))&b)))>a) | 1 | 1 | 0 | 0 | entailment |
~(~((~(((c|l)&l))&r))) | ((e>r)&((e|a)>((a|(u>b))|(l>~(b))))) | 1 | 0 | 0 | 0 | entailment |
(~(((u>(z|h))&z))&(u|~(x))) | ((e>r)&((e|a)>((a|(u>b))|(l>~(b))))) | 0 | 0 | 0 | 0 | not entailment |
~(~((~(((c|l)&l))&r))) | (~((~(z)|(~((x|h))&b)))>a) | 0 | 0 | 0 | 0 | not entailment |
~((~((r&l))>z)) | ~(z) | 1 | 1 | 1 | 1 | entailment |
~((z>a)) | (a>u) | 1 | 1 | 0 | 0 | entailment |
~((~((r&l))>z)) | (a>u) | 0 | 1 | 0 | 0 | not entailment |
~((z>a)) | ~(z) | 0 | 1 | 1 | 0 | not entailment |
~(((r&b)>(u&h))) | (b&b) | 1 | 1 | 1 | 1 | entailment |
(((z&z)&c)&((h>l)&r)) | ((c&(c|(h>r)))|(e>((h&e)>~(h)))) | 1 | 0 | 0 | 0 | entailment |
~(((r&b)>(u&h))) | ((c&(c|(h>r)))|(e>((h&e)>~(h)))) | 0 | 0 | 0 | 0 | not entailment |
(((z&z)&c)&((h>l)&r)) | (b&b) | 0 | 1 | 0 | 0 | not entailment |
((l|(a>(~((a>u))>h)))&(r&(l&(l>z)))) | (~(~(z))|(l>b)) | 1 | 1 | 0 | 0 | entailment |
((~(h)&~(b))&~(~((c&l)))) | ~((h&(x&a))) | 1 | 1 | 0 | 0 | entailment |
((l|(a>(~((a>u))>h)))&(r&(l&(l>z)))) | ~((h&(x&a))) | 0 | 1 | 0 | 0 | not entailment |
((~(h)&~(b))&~(~((c&l)))) | (~(~(z))|(l>b)) | 0 | 1 | 0 | 0 | not entailment |
(e&(~(r)&((b|(x>u))|(~(z)|~((u>h)))))) | ~(((~((~((l>e))&z))|(e|a))&r)) | 1 | 1 | 0 | 0 | entailment |
(~(l)&(r|b)) | ((~((((z>a)&h)&l))|z)|(~((b>c))>a)) | 1 | 0 | 0 | 0 | entailment |
(e&(~(r)&((b|(x>u))|(~(z)|~((u>h)))))) | ((~((((z>a)&h)&l))|z)|(~((b>c))>a)) | 0 | 1 | 0 | 0 | not entailment |
(~(l)&(r|b)) | ~(((~((~((l>e))&z))|(e|a))&r)) | 0 | 0 | 0 | 0 | not entailment |
(r&((l|a)&e)) | (~((~((l|(a>x)))|~(~(h))))|((b|a)|e)) | 1 | 0 | 0 | 0 | entailment |
~(~((~((e&l))&c))) | (((e|b)&u)>c) | 1 | 1 | 0 | 0 | entailment |
(r&((l|a)&e)) | (((e|b)&u)>c) | 0 | 1 | 0 | 0 | not entailment |
~(~((~((e&l))&c))) | (~((~((l|(a>x)))|~(~(h))))|((b|a)|e)) | 0 | 0 | 0 | 0 | not entailment |
~((c>~(b))) | (~((e>u))|(u|((((c|h)>a)>b)&b))) | 1 | 0 | 0 | 0 | entailment |
(~((((~(l)>(c&e))>r)&z))&r) | (r|z) | 1 | 1 | 1 | 0 | entailment |
~((c>~(b))) | (r|z) | 0 | 1 | 0 | 0 | not entailment |
(~((((~(l)>(c&e))>r)&z))&r) | (~((e>u))|(u|((((c|h)>a)>b)&b))) | 0 | 0 | 0 | 0 | not entailment |
~((z>(~(h)>l))) | ~((((x&(h|l))&r)|~((h>z)))) | 1 | 0 | 0 | 0 | entailment |
~(((l&(c&c))>((c|b)&(a|(u>~((h|b))))))) | (~(((((l>b)|z)|(c>c))|~((h|a))))|(l|u)) | 1 | 1 | 0 | 0 | entailment |
~((z>(~(h)>l))) | (~(((((l>b)|z)|(c>c))|~((h|a))))|(l|u)) | 0 | 0 | 0 | 0 | not entailment |
~(((l&(c&c))>((c|b)&(a|(u>~((h|b))))))) | ~((((x&(h|l))&r)|~((h>z)))) | 0 | 1 | 0 | 0 | not entailment |
~((r>((b>~(h))>l))) | (~((h|b))|(z|((l&a)>r))) | 1 | 0 | 0 | 0 | entailment |
((~((e&(u>(r&x))))&b)&h) | (~(b)>((b|((z|c)>x))>(x&u))) | 1 | 0 | 0 | 0 | entailment |
~((r>((b>~(h))>l))) | (~(b)>((b|((z|c)>x))>(x&u))) | 0 | 0 | 0 | 0 | not entailment |
((~((e&(u>(r&x))))&b)&h) | (~((h|b))|(z|((l&a)>r))) | 0 | 1 | 0 | 0 | not entailment |
(x&~(~((c&((c|(u>u))>(u|u)))))) | (r>(u|a)) | 1 | 1 | 0 | 0 | entailment |
~(((a&(x>(u&c)))|(e>~(~(z))))) | ((x>e)|(((a&h)|(c|x))>(h>(c>(r|e))))) | 1 | 0 | 0 | 0 | entailment |
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