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 |
|---|---|---|---|---|---|---|
((l&(k>l))&~(o)) | (~(o)&((q|o)|~(o))) | 1 | 0 | 0 | 0 | entailment |
((l&k)&q) | (q|(i&(l&k))) | 1 | 0 | 0 | 0 | entailment |
((l&(k>l))&~(o)) | (q|(i&(l&k))) | 0 | 1 | 0 | 0 | not entailment |
((l&k)&q) | (~(o)&((q|o)|~(o))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(q)>~(i))>(o|(q&o)))) | ~(~(((l&(q&o))>(q&k)))) | 1 | 1 | 0 | 0 | entailment |
((((l&q)>i)>(q&(~((o|i))|~(q))))&(i>i)) | ((l>((l|k)|~(~(~((l&(k|q)))))))>(i|q)) | 1 | 1 | 0 | 0 | entailment |
~(((~(q)>~(i))>(o|(q&o)))) | ((l>((l|k)|~(~(~((l&(k|q)))))))>(i|q)) | 0 | 0 | 0 | 0 | not entailment |
((((l&q)>i)>(q&(~((o|i))|~(q))))&(i>i)) | ~(~(((l&(q&o))>(q&k)))) | 0 | 1 | 0 | 0 | not entailment |
~(((i|i)>(~(o)>k))) | (~(((k&(q|k))&l))|q) | 1 | 1 | 0 | 0 | entailment |
~(i) | (~(((i|~(l))|i))|~((i|(o&l)))) | 1 | 0 | 0 | 0 | entailment |
~(((i|i)>(~(o)>k))) | (~(((i|~(l))|i))|~((i|(o&l)))) | 0 | 0 | 0 | 0 | not entailment |
~(i) | (~(((k&(q|k))&l))|q) | 0 | 0 | 0 | 0 | not entailment |
(k&o) | (~(~(~(~(q))))>((o>o)>(i|o))) | 1 | 0 | 0 | 0 | entailment |
((l>(i&i))>q) | ((((~(i)&l)&~(o))|(q|~(o)))|l) | 1 | 0 | 0 | 0 | entailment |
(k&o) | ((((~(i)&l)&~(o))|(q|~(o)))|l) | 0 | 0 | 0 | 0 | not entailment |
((l>(i&i))>q) | (~(~(~(~(q))))>((o>o)>(i|o))) | 0 | 0 | 0 | 0 | not entailment |
(((~(~(o))|q)>(k>i))&(q&i)) | ~((~((i|(((i|k)>o)|l)))&~(o))) | 1 | 0 | 0 | 0 | entailment |
((~(q)|q)&k) | (k|o) | 1 | 1 | 0 | 0 | entailment |
(((~(~(o))|q)>(k>i))&(q&i)) | (k|o) | 0 | 1 | 1 | 0 | not entailment |
((~(q)|q)&k) | ~((~((i|(((i|k)>o)|l)))&~(o))) | 0 | 0 | 0 | 0 | not entailment |
~((n|n)) | ~(~(~((~(~(~((x>s))))&n)))) | 1 | 0 | 0 | 0 | entailment |
(~(((e|n)|(~(~((v|n)))&(x|s))))|~(s)) | (~(~((~(v)|(x|~((s|s))))))|(n|n)) | 1 | 1 | 1 | 0 | entailment |
~((n|n)) | (~(~((~(v)|(x|~((s|s))))))|(n|n)) | 0 | 0 | 0 | 0 | not entailment |
(~(((e|n)|(~(~((v|n)))&(x|s))))|~(s)) | ~(~(~((~(~(~((x>s))))&n)))) | 0 | 1 | 1 | 0 | not entailment |
(n&(n&~((x&(n|s))))) | (v|n) | 1 | 1 | 0 | 0 | entailment |
((x&(i&e))&((v&v)|(x|(n>v)))) | (~(v)>~(~((s>x)))) | 1 | 1 | 0 | 0 | entailment |
(n&(n&~((x&(n|s))))) | (~(v)>~(~((s>x)))) | 0 | 1 | 0 | 0 | not entailment |
((x&(i&e))&((v&v)|(x|(n>v)))) | (v|n) | 0 | 1 | 1 | 0 | not entailment |
~(((v|n)>e)) | (e>(v&x)) | 1 | 1 | 0 | 0 | entailment |
~((~((e&n))>i)) | ~(~((((v>~(v))&i)>(i>((e|e)&e))))) | 1 | 0 | 0 | 0 | entailment |
~(((v|n)>e)) | ~(~((((v>~(v))&i)>(i>((e|e)&e))))) | 0 | 0 | 0 | 0 | not entailment |
~((~((e&n))>i)) | (e>(v&x)) | 0 | 1 | 0 | 0 | not entailment |
(i&(n|x)) | ((~(~(n))&x)|(~(i)>s)) | 1 | 0 | 0 | 0 | entailment |
~(((i>n)>(n|s))) | ~((~(n)>~(~((n&(e>x)))))) | 1 | 0 | 0 | 0 | entailment |
(i&(n|x)) | ~((~(n)>~(~((n&(e>x)))))) | 0 | 0 | 0 | 0 | not entailment |
~(((i>n)>(n|s))) | ((~(~(n))&x)|(~(i)>s)) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(s))|((e&n)&((x|i)>s)))) | (~((s|x))|(v>((s&e)>(i|i)))) | 1 | 1 | 0 | 0 | entailment |
~(((n&x)|(n|~(e)))) | (~((i|v))|e) | 1 | 1 | 0 | 0 | entailment |
~((~(~(s))|((e&n)&((x|i)>s)))) | (~((i|v))|e) | 0 | 1 | 0 | 0 | not entailment |
~(((n&x)|(n|~(e)))) | (~((s|x))|(v>((s&e)>(i|i)))) | 0 | 0 | 0 | 0 | not entailment |
~(((n|v)>(i|~((v&e))))) | ~(~(((v>x)>x))) | 1 | 1 | 0 | 0 | entailment |
~(((~((i&n))|(s&x))|s)) | (((((((e>i)|s)>n)&(i|i))|e)>~(s))>(i&n)) | 1 | 0 | 0 | 0 | entailment |
~(((n|v)>(i|~((v&e))))) | (((((((e>i)|s)>n)&(i|i))|e)>~(s))>(i&n)) | 0 | 0 | 0 | 0 | not entailment |
~(((~((i&n))|(s&x))|s)) | ~(~(((v>x)>x))) | 0 | 1 | 0 | 0 | not entailment |
((n&x)&(~(e)|x)) | (((n|x)|v)|~(~((~(n)>i)))) | 1 | 0 | 0 | 0 | entailment |
~((((~(i)>i)|(i|e))>(i&((x&(e|s))>i)))) | (e|(e&i)) | 1 | 1 | 1 | 1 | entailment |
((n&x)&(~(e)|x)) | (e|(e&i)) | 0 | 1 | 0 | 0 | not entailment |
~((((~(i)>i)|(i|e))>(i&((x&(e|s))>i)))) | (((n|x)|v)|~(~((~(n)>i)))) | 0 | 1 | 0 | 0 | not entailment |
(((n&x)|s)&((i>s)|~(s))) | (s|((s>x)&~((x>(s&((v&v)&(i&s))))))) | 1 | 0 | 0 | 0 | entailment |
~((((n|i)|i)|((n|v)>~(v)))) | ((s|(i&~(x)))>((((s>e)|v)>x)>~(~(x)))) | 1 | 0 | 0 | 0 | entailment |
(((n&x)|s)&((i>s)|~(s))) | ((s|(i&~(x)))>((((s>e)|v)>x)>~(~(x)))) | 0 | 0 | 0 | 0 | not entailment |
~((((n|i)|i)|((n|v)>~(v)))) | (s|((s>x)&~((x>(s&((v&v)&(i&s))))))) | 0 | 0 | 0 | 0 | not entailment |
((e|n)>~(~(~((s>(s&(i&(e|n)))))))) | ~(~((i>((e>s)|n)))) | 1 | 1 | 1 | 0 | entailment |
((~(((x&v)|x))|s)&(~(e)>n)) | (~(x)|((s|s)|v)) | 1 | 1 | 1 | 0 | entailment |
((e|n)>~(~(~((s>(s&(i&(e|n)))))))) | (~(x)|((s|s)|v)) | 0 | 1 | 0 | 0 | not entailment |
((~(((x&v)|x))|s)&(~(e)>n)) | ~(~((i>((e>s)|n)))) | 0 | 1 | 0 | 0 | not entailment |
(((n>v)&(e&x))&n) | (v|(~((i>n))|n)) | 1 | 1 | 0 | 0 | entailment |
~(((v|~((s>x)))|(n|v))) | ~(((n&s)&i)) | 1 | 1 | 0 | 0 | entailment |
(((n>v)&(e&x))&n) | ~(((n&s)&i)) | 0 | 1 | 0 | 0 | not entailment |
~(((v|~((s>x)))|(n|v))) | (v|(~((i>n))|n)) | 0 | 1 | 0 | 0 | not entailment |
(s&(~(n)&(e&(x|((i|x)&(e>i)))))) | ((i&e)|(((x>(i|i))>v)&(x>(x|s)))) | 1 | 1 | 0 | 0 | entailment |
((~(e)|~(x))&~((~(((s&s)>i))>(x&n)))) | ((i>x)|n) | 1 | 1 | 1 | 0 | entailment |
(s&(~(n)&(e&(x|((i|x)&(e>i)))))) | ((i>x)|n) | 0 | 1 | 1 | 0 | not entailment |
((~(e)|~(x))&~((~(((s&s)>i))>(x&n)))) | ((i&e)|(((x>(i|i))>v)&(x>(x|s)))) | 0 | 1 | 0 | 0 | not entailment |
(s&v) | ((~((~(x)>i))|~(v))>~(((~(e)|x)&e))) | 1 | 0 | 0 | 0 | entailment |
(((v|x)&e)&(((i|x)&e)&(i&i))) | (i&((~(v)|~((s>n)))|((i>(s|i))&i))) | 1 | 0 | 0 | 0 | entailment |
(s&v) | (i&((~(v)|~((s>n)))|((i>(s|i))&i))) | 0 | 0 | 0 | 0 | not entailment |
(((v|x)&e)&(((i|x)&e)&(i&i))) | ((~((~(x)>i))|~(v))>~(((~(e)|x)&e))) | 0 | 0 | 1 | 0 | not entailment |
(v&(i|i)) | ((v>(s|s))|(i|n)) | 1 | 0 | 0 | 0 | entailment |
((((e|s)&~(x))&v)&(~(x)|x)) | ~((((x|(x&n))&(~(i)>v))|x)) | 1 | 1 | 0 | 0 | entailment |
(v&(i|i)) | ~((((x|(x&n))&(~(i)>v))|x)) | 0 | 0 | 0 | 0 | not entailment |
((((e|s)&~(x))&v)&(~(x)|x)) | ((v>(s|s))|(i|n)) | 0 | 1 | 0 | 0 | not entailment |
~(((n>v)|(s|x))) | (((v&(s>~(e)))|(s>n))|n) | 1 | 0 | 0 | 0 | entailment |
((e>s)&((~(e)&x)&(~((e>x))>(n>x)))) | (x|(x|(v|v))) | 1 | 1 | 0 | 0 | entailment |
~(((n>v)|(s|x))) | (x|(x|(v|v))) | 0 | 1 | 1 | 0 | not entailment |
((e>s)&((~(e)&x)&(~((e>x))>(n>x)))) | (((v&(s>~(e)))|(s>n))|n) | 0 | 1 | 0 | 0 | not entailment |
(n|((e&n)&~(((s&(s|e))>v)))) | ((n&((~(v)&i)>i))|(x>((s|i)|n))) | 1 | 0 | 0 | 0 | entailment |
(x&~((~(i)>v))) | (v>(i>s)) | 1 | 1 | 0 | 0 | entailment |
(n|((e&n)&~(((s&(s|e))>v)))) | (v>(i>s)) | 0 | 1 | 0 | 0 | not entailment |
(x&~((~(i)>v))) | ((n&((~(v)&i)>i))|(x>((s|i)|n))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((u>z)))) | ((((t>h)&t)|z)>u) | 1 | 1 | 0 | 0 | entailment |
((c&c)&(b&(u>(z>b)))) | (z|((t&c)>((~(~(((d>h)&d)))|b)|(h|d)))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((u>z)))) | (z|((t&c)>((~(~(((d>h)&d)))|b)|(h|d)))) | 0 | 0 | 0 | 0 | not entailment |
((c&c)&(b&(u>(z>b)))) | ((((t>h)&t)|z)>u) | 0 | 1 | 0 | 0 | not entailment |
~(~((t&u))) | ((t&t)|b) | 1 | 1 | 0 | 0 | entailment |
~((h>(~((c>(d&t)))>((~(u)|(b|h))&u)))) | ((~(b)>((z|(u&h))&(b>t)))|c) | 1 | 1 | 0 | 0 | entailment |
~(~((t&u))) | ((~(b)>((z|(u&h))&(b>t)))|c) | 0 | 0 | 0 | 0 | not entailment |
~((h>(~((c>(d&t)))>((~(u)|(b|h))&u)))) | ((t&t)|b) | 0 | 1 | 1 | 0 | not entailment |
(d&b) | (c|~((~((d&(b|m)))|~(((m|c)>m))))) | 1 | 0 | 0 | 0 | entailment |
((d>(~(u)|d))>(z&m)) | ((~((d&u))|(~(z)|t))|m) | 1 | 0 | 0 | 0 | entailment |
(d&b) | ((~((d&u))|(~(z)|t))|m) | 0 | 0 | 0 | 0 | not entailment |
((d>(~(u)|d))>(z&m)) | (c|~((~((d&(b|m)))|~(((m|c)>m))))) | 0 | 0 | 0 | 0 | not entailment |
((~(d)&b)&(h&t)) | (((h>d)&((b&~(d))&z))>u) | 1 | 0 | 0 | 0 | entailment |
(z&(~((m>t))|m)) | (~(((b&t)>((h&u)>(b|~(z)))))|(m|c)) | 1 | 0 | 0 | 0 | entailment |
((~(d)&b)&(h&t)) | (~(((b&t)>((h&u)>(b|~(z)))))|(m|c)) | 0 | 0 | 0 | 0 | not entailment |
(z&(~((m>t))|m)) | (((h>d)&((b&~(d))&z))>u) | 0 | 0 | 0 | 0 | not entailment |
((t&(((m&c)>~(t))&(h&(d&u))))&m) | (m>(t|t)) | 1 | 1 | 1 | 1 | entailment |
((((t>d)&((u>d)>b))&(m&z))&((h|c)|c)) | (z>(t>((u>b)&b))) | 1 | 1 | 1 | 0 | entailment |
((t&(((m&c)>~(t))&(h&(d&u))))&m) | (z>(t>((u>b)&b))) | 0 | 1 | 0 | 0 | not entailment |
((((t>d)&((u>d)>b))&(m&z))&((h|c)|c)) | (m>(t|t)) | 0 | 1 | 1 | 0 | not entailment |
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