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 |
---|---|---|---|---|---|---|
((n&((k>g)|(k|z)))&(c&(f&c))) | (n|(l>f)) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((g&t)|c)))) | ~((~(~(c))&f)) | 1 | 1 | 0 | 0 | entailment |
((n&((k>g)|(k|z)))&(c&(f&c))) | ~((~(~(c))&f)) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(((g&t)|c)))) | (n|(l>f)) | 0 | 1 | 0 | 0 | not entailment |
~(~((~(c)&(r&((r>n)|c))))) | ((~(n)&g)|(((c&f)>g)&((r|r)&(r|r)))) | 1 | 0 | 0 | 0 | entailment |
(c&~(~((((g|(c|(f&k)))>k)|~(f))))) | (((z>z)&((k>f)&n))>c) | 1 | 1 | 0 | 0 | entailment |
~(~((~(c)&(r&((r>n)|c))))) | (((z>z)&((k>f)&n))>c) | 0 | 1 | 0 | 0 | not entailment |
(c&~(~((((g|(c|(f&k)))>k)|~(f))))) | ((~(n)&g)|(((c&f)>g)&((r|r)&(r|r)))) | 0 | 1 | 0 | 0 | not entailment |
((t&g)&~(~(~((n|z))))) | ((z>(f&g))&((c&k)|(c|t))) | 1 | 1 | 0 | 0 | entailment |
(((c&c)&~((~(t)>l)))&(f&k)) | ((f&t)>(l|n)) | 1 | 1 | 0 | 0 | entailment |
((t&g)&~(~(~((n|z))))) | ((f&t)>(l|n)) | 0 | 1 | 0 | 0 | not entailment |
(((c&c)&~((~(t)>l)))&(f&k)) | ((z>(f&g))&((c&k)|(c|t))) | 0 | 1 | 0 | 0 | not entailment |
~(k) | (~(((f>((k&f)&~(f)))|t))>(t|((k&l)>c))) | 1 | 0 | 0 | 0 | entailment |
(((z>(r&r))>~(~(~((c>g)))))&~((l>c))) | (l|c) | 1 | 1 | 1 | 1 | entailment |
~(k) | (l|c) | 0 | 1 | 0 | 0 | not entailment |
(((z>(r&r))>~(~(~((c>g)))))&~((l>c))) | (~(((f>((k&f)&~(f)))|t))>(t|((k&l)>c))) | 0 | 1 | 0 | 0 | not entailment |
((c&(l&g))&(((f>z)|l)&(r>(c>t)))) | (l>g) | 1 | 1 | 1 | 0 | entailment |
(c&z) | (z|t) | 1 | 1 | 0 | 0 | entailment |
((c&(l&g))&(((f>z)|l)&(r>(c>t)))) | (z|t) | 0 | 1 | 1 | 1 | not entailment |
(c&z) | (l>g) | 0 | 1 | 0 | 0 | not entailment |
(n&l) | (z>(n>(l&z))) | 1 | 0 | 0 | 0 | entailment |
((((c|f)|~((g>k)))>(z>z))&t) | (t|((l>g)&n)) | 1 | 1 | 0 | 0 | entailment |
(n&l) | (t|((l>g)&n)) | 0 | 0 | 0 | 0 | not entailment |
((((c|f)|~((g>k)))>(z>z))&t) | (z>(n>(l&z))) | 0 | 1 | 0 | 0 | not entailment |
(c|l) | (((r>l)|c)|(k|((c&n)&r))) | 1 | 0 | 0 | 0 | entailment |
~(g) | ~((((f&(c>t))|~((r|f)))&((g&z)&c))) | 1 | 0 | 0 | 0 | entailment |
(c|l) | ~((((f&(c>t))|~((r|f)))&((g&z)&c))) | 0 | 0 | 0 | 0 | not entailment |
~(g) | (((r>l)|c)|(k|((c&n)&r))) | 0 | 0 | 0 | 0 | not entailment |
~((n>~(k))) | (~(~((f&c)))|(n|r)) | 1 | 0 | 0 | 0 | entailment |
(((g&l)&~(k))&~((~(~((z|g)))&(f>k)))) | (g>((k>z)>((t&t)>f))) | 1 | 1 | 0 | 0 | entailment |
~((n>~(k))) | (g>((k>z)>((t&t)>f))) | 0 | 0 | 0 | 0 | not entailment |
(((g&l)&~(k))&~((~(~((z|g)))&(f>k)))) | (~(~((f&c)))|(n|r)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((g>l)&f))) | ~((~(f)&(((z|k)>g)|t))) | 1 | 0 | 0 | 0 | entailment |
(g&(~(k)>(~(c)>r))) | (z>g) | 1 | 1 | 0 | 0 | entailment |
~(~(((g>l)&f))) | (z>g) | 0 | 1 | 0 | 0 | not entailment |
(g&(~(k)>(~(c)>r))) | ~((~(f)&(((z|k)>g)|t))) | 0 | 0 | 0 | 0 | not entailment |
~((k|~((~((t&(t|f)))&n)))) | (t>((k|c)>~(l))) | 1 | 1 | 0 | 0 | entailment |
~(((r>g)>(z|c))) | (~(z)|c) | 1 | 1 | 1 | 0 | entailment |
~((k|~((~((t&(t|f)))&n)))) | (~(z)|c) | 0 | 1 | 0 | 0 | not entailment |
~(((r>g)>(z|c))) | (t>((k|c)>~(l))) | 0 | 1 | 0 | 0 | not entailment |
(f&(l>(((r&k)>(k|(l|c)))|~(c)))) | (f|n) | 1 | 1 | 0 | 0 | entailment |
~(((g&(r|t))>f)) | (~(f)|~(~(~(((g&r)|f))))) | 1 | 0 | 1 | 0 | entailment |
(f&(l>(((r&k)>(k|(l|c)))|~(c)))) | (~(f)|~(~(~(((g&r)|f))))) | 0 | 1 | 0 | 0 | not entailment |
~(((g&(r|t))>f)) | (f|n) | 0 | 1 | 0 | 0 | not entailment |
(x&~((z&z))) | ((((x>z)|(z|(x&x)))&(x|x))|x) | 1 | 0 | 1 | 0 | entailment |
(~(x)&(x|z)) | (z|~((x|z))) | 1 | 1 | 1 | 0 | entailment |
(x&~((z&z))) | (z|~((x|z))) | 0 | 1 | 1 | 0 | not entailment |
(~(x)&(x|z)) | ((((x>z)|(z|(x&x)))&(x|x))|x) | 0 | 0 | 1 | 1 | not entailment |
(((z&z)|(z|z))|(~((x>x))&~(x))) | ~(~(z)) | 1 | 1 | 1 | 1 | entailment |
~(~((x|(x&~(z))))) | ((x&((x>z)&(z&z)))|(x|((z&x)&(z>x)))) | 1 | 0 | 1 | 0 | entailment |
(((z&z)|(z|z))|(~((x>x))&~(x))) | ((x&((x>z)&(z&z)))|(x|((z&x)&(z>x)))) | 0 | 0 | 1 | 0 | not entailment |
~(~((x|(x&~(z))))) | ~(~(z)) | 0 | 1 | 1 | 0 | not entailment |
~(~((x|((x>x)&(x|x))))) | (((x&x)|x)&(x>(~((~(x)&~(x)))&x))) | 1 | 0 | 1 | 1 | entailment |
((~((~((z&x))|x))&x)|z) | ((z>(x>x))&(z&(z>(z|z)))) | 1 | 1 | 1 | 0 | entailment |
~(~((x|((x>x)&(x|x))))) | ((z>(x>x))&(z&(z>(z|z)))) | 0 | 1 | 0 | 0 | not entailment |
((~((~((z&x))|x))&x)|z) | (((x&x)|x)&(x>(~((~(x)&~(x)))&x))) | 0 | 0 | 1 | 1 | not entailment |
(((z|((z>z)&~(x)))>(z>x))&x) | (x&((x>(((z>x)|(((z&(x&x))&z)>z))|z))&x)) | 1 | 0 | 1 | 0 | entailment |
((z&(z>z))&(~(z)>~(z))) | (z&(z|z)) | 1 | 1 | 1 | 1 | entailment |
(((z|((z>z)&~(x)))>(z>x))&x) | (z&(z|z)) | 0 | 1 | 1 | 1 | not entailment |
((z&(z>z))&(~(z)>~(z))) | (x&((x>(((z>x)|(((z&(x&x))&z)>z))|z))&x)) | 0 | 0 | 0 | 0 | not entailment |
((~(((z>((z|x)|x))&z))&~(z))>x) | ((x&x)|~(~(((z>z)>z)))) | 1 | 1 | 1 | 1 | entailment |
(~(z)&(~((z|x))|(z&z))) | ((z&(~(x)|(x&x)))>(((x|z)|z)&~(x))) | 1 | 0 | 1 | 0 | entailment |
((~(((z>((z|x)|x))&z))&~(z))>x) | ((z&(~(x)|(x&x)))>(((x|z)|z)&~(x))) | 0 | 0 | 1 | 0 | not entailment |
(~(z)&(~((z|x))|(z&z))) | ((x&x)|~(~(((z>z)>z)))) | 0 | 1 | 1 | 0 | not entailment |
((z>z)>(x&z)) | (z&(~(~((x&(z&x))))|(x>(x&z)))) | 1 | 0 | 1 | 0 | entailment |
(x&~(((x&z)&z))) | ((x>((z&x)&((z&z)>z)))>~(z)) | 1 | 0 | 1 | 0 | entailment |
((z>z)>(x&z)) | ((x>((z&x)&((z&z)>z)))>~(z)) | 0 | 0 | 1 | 0 | not entailment |
(x&~(((x&z)&z))) | (z&(~(~((x&(z&x))))|(x>(x&z)))) | 0 | 0 | 1 | 0 | not entailment |
~(~(((x&z)&(x&z)))) | (x&(~(~(~(~(x))))|(z&x))) | 1 | 0 | 1 | 1 | entailment |
((z&((~(z)|z)&~(z)))|~(x)) | (x>~((z>z))) | 1 | 1 | 1 | 1 | entailment |
~(~(((x&z)&(x&z)))) | (x>~((z>z))) | 0 | 1 | 1 | 0 | not entailment |
((z&((~(z)|z)&~(z)))|~(x)) | (x&(~(~(~(~(x))))|(z&x))) | 0 | 1 | 1 | 0 | not entailment |
(z|((z>((~((z|((z>x)&x)))&x)|x))&x)) | (z|x) | 1 | 1 | 1 | 1 | entailment |
(((z>(z&(x&z)))>x)>(~(x)&(x>z))) | (~(x)|~(z)) | 1 | 1 | 1 | 1 | entailment |
(z|((z>((~((z|((z>x)&x)))&x)|x))&x)) | (~(x)|~(z)) | 0 | 1 | 1 | 1 | not entailment |
(((z>(z&(x&z)))>x)>(~(x)&(x>z))) | (z|x) | 0 | 1 | 1 | 1 | not entailment |
~(~((x|x))) | ~((x>(x&~((((x>x)|x)&(x>x)))))) | 1 | 0 | 1 | 0 | entailment |
~((((z&x)|x)|z)) | ((((x>x)>z)|~((z>z)))|~(~(~(x)))) | 1 | 0 | 1 | 0 | entailment |
~(~((x|x))) | ((((x>x)>z)|~((z>z)))|~(~(~(x)))) | 0 | 0 | 0 | 0 | not entailment |
~((((z&x)|x)|z)) | ~((x>(x&~((((x>x)|x)&(x>x)))))) | 0 | 0 | 1 | 0 | not entailment |
(k&(~((c&c))&b)) | (b>(k|c)) | 1 | 1 | 1 | 0 | entailment |
(~((~(b)>c))|(b>y)) | (((c>k)>(b&((b>y)>m)))>(k>y)) | 1 | 0 | 0 | 0 | entailment |
(k&(~((c&c))&b)) | (((c>k)>(b&((b>y)>m)))>(k>y)) | 0 | 0 | 0 | 0 | not entailment |
(~((~(b)>c))|(b>y)) | (b>(k|c)) | 0 | 1 | 0 | 0 | not entailment |
((c&((~((c|k))>k)>k))&((m|a)>~((y|k)))) | (k&(k&(m|c))) | 1 | 1 | 1 | 0 | entailment |
(m&(~(~(~((b>(a|y)))))>y)) | (a|((b>y)|((h&y)|(h&b)))) | 1 | 1 | 0 | 0 | entailment |
((c&((~((c|k))>k)>k))&((m|a)>~((y|k)))) | (a|((b>y)|((h&y)|(h&b)))) | 0 | 1 | 0 | 0 | not entailment |
(m&(~(~(~((b>(a|y)))))>y)) | (k&(k&(m|c))) | 0 | 1 | 0 | 0 | not entailment |
(~(a)&c) | ((~((((k>k)|y)>(m|m)))&b)>c) | 1 | 0 | 0 | 0 | entailment |
~((y>~(~(~((b>(~(h)|(y|(h>c))))))))) | (((m&(b>b))&(~(((m>m)&~(h)))|a))>y) | 1 | 1 | 0 | 0 | entailment |
(~(a)&c) | (((m&(b>b))&(~(((m>m)&~(h)))|a))>y) | 0 | 0 | 0 | 0 | not entailment |
~((y>~(~(~((b>(~(h)|(y|(h>c))))))))) | ((~((((k>k)|y)>(m|m)))&b)>c) | 0 | 1 | 0 | 0 | not entailment |
((y>h)>m) | ((a>(m|y))|(y|b)) | 1 | 0 | 0 | 0 | entailment |
~(((y&k)|~(a))) | ((k>(c|y))|(a|(h&(b|(h>k))))) | 1 | 0 | 0 | 0 | entailment |
((y>h)>m) | ((k>(c|y))|(a|(h&(b|(h>k))))) | 0 | 0 | 0 | 0 | not entailment |
~(((y&k)|~(a))) | ((a>(m|y))|(y|b)) | 0 | 1 | 0 | 0 | not entailment |
((((c|a)|m)|(((a&a)&b)>h))>y) | ((((b>b)>a)|(c&m))|(y|c)) | 1 | 1 | 1 | 0 | entailment |
~((((k|m)>(b&a))|m)) | ~(~((~(b)|~(((a&h)|m))))) | 1 | 0 | 0 | 0 | entailment |
((((c|a)|m)|(((a&a)&b)>h))>y) | ~(~((~(b)|~(((a&h)|m))))) | 0 | 1 | 1 | 0 | not entailment |
~((((k|m)>(b&a))|m)) | ((((b>b)>a)|(c&m))|(y|c)) | 0 | 0 | 0 | 0 | not entailment |
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