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 |
---|---|---|---|---|---|---|
~(c) | ~(((((k&c)>(b&c))>f)&c)) | 1 | 0 | 0 | 0 | entailment |
(~((l&f))&(b&(i&d))) | ((b&i)&(l>(d|k))) | 1 | 1 | 0 | 0 | entailment |
~(c) | ((b&i)&(l>(d|k))) | 0 | 0 | 0 | 0 | not entailment |
(~((l&f))&(b&(i&d))) | ~(((((k&c)>(b&c))>f)&c)) | 0 | 0 | 0 | 0 | not entailment |
(k&(d|(b|f))) | ((c>((d>k)>k))|~((~((~(b)>l))|f))) | 1 | 0 | 0 | 0 | entailment |
((~(l)>d)>d) | (~(((b>(((i|k)>(d|l))>c))&(l&c)))|d) | 1 | 0 | 0 | 0 | entailment |
(k&(d|(b|f))) | (~(((b>(((i|k)>(d|l))>c))&(l&c)))|d) | 0 | 0 | 0 | 0 | not entailment |
((~(l)>d)>d) | ((c>((d>k)>k))|~((~((~(b)>l))|f))) | 0 | 0 | 0 | 0 | not entailment |
((((f|l)&((k|d)>i))&f)&((b>i)|c)) | (d>f) | 1 | 1 | 1 | 1 | entailment |
(c&l) | (b|c) | 1 | 1 | 0 | 0 | entailment |
((((f|l)&((k|d)>i))&f)&((b>i)|c)) | (b|c) | 0 | 1 | 1 | 0 | not entailment |
(c&l) | (d>f) | 0 | 1 | 0 | 0 | not entailment |
(~((((f|k)&b)&c))&k) | (k|f) | 1 | 1 | 1 | 0 | entailment |
((i&i)&c) | ((i&((d&f)|~(i)))|~(~((i|d)))) | 1 | 0 | 0 | 0 | entailment |
(~((((f|k)&b)&c))&k) | ((i&((d&f)|~(i)))|~(~((i|d)))) | 0 | 0 | 0 | 0 | not entailment |
((i&i)&c) | (k|f) | 0 | 1 | 0 | 0 | not entailment |
((((i|l)>k)|~((k|f)))&(c&(c&((k&f)&c)))) | (k|l) | 1 | 1 | 1 | 0 | entailment |
~(~((f&i))) | (((l>k)|~(l))>(i|i)) | 1 | 0 | 0 | 0 | entailment |
((((i|l)>k)|~((k|f)))&(c&(c&((k&f)&c)))) | (((l>k)|~(l))>(i|i)) | 0 | 1 | 1 | 0 | not entailment |
~(~((f&i))) | (k|l) | 0 | 1 | 0 | 0 | not entailment |
((d|(((c&f)&(l>k))>k))&(f&c)) | ((i>d)|(((d|f)>f)&c)) | 1 | 1 | 0 | 0 | entailment |
(i&(f>d)) | (c>((l|(i|d))|(((((l>l)&c)&f)>f)>b))) | 1 | 0 | 0 | 0 | entailment |
((d|(((c&f)&(l>k))>k))&(f&c)) | (c>((l|(i|d))|(((((l>l)&c)&f)>f)>b))) | 0 | 0 | 0 | 0 | not entailment |
(i&(f>d)) | ((i>d)|(((d|f)>f)&c)) | 0 | 0 | 0 | 0 | not entailment |
((~(f)>i)&(b&(c&f))) | (f&f) | 1 | 1 | 1 | 1 | entailment |
~(((~(k)&(~((k&b))|(b>l)))>(d>l))) | ((b|i)>~(l)) | 1 | 1 | 0 | 0 | entailment |
((~(f)>i)&(b&(c&f))) | ((b|i)>~(l)) | 0 | 1 | 0 | 0 | not entailment |
~(((~(k)&(~((k&b))|(b>l)))>(d>l))) | (f&f) | 0 | 1 | 0 | 0 | not entailment |
(~(f)&((l|k)>(((l>(d|c))|l)&i))) | ((f>k)|(l>i)) | 1 | 1 | 1 | 0 | entailment |
((f|(c|~(~(i))))&~(i)) | ((d&i)>(c>~(c))) | 1 | 1 | 0 | 0 | entailment |
(~(f)&((l|k)>(((l>(d|c))|l)&i))) | ((d&i)>(c>~(c))) | 0 | 1 | 1 | 0 | not entailment |
((f|(c|~(~(i))))&~(i)) | ((f>k)|(l>i)) | 0 | 1 | 0 | 0 | not entailment |
~(((((b|(b|d))>c)|(b&f))|d)) | (i|((d|f)>(d|b))) | 1 | 1 | 0 | 0 | entailment |
(~(i)&~(b)) | (((~(c)|i)&~(i))|c) | 1 | 0 | 0 | 0 | entailment |
~(((((b|(b|d))>c)|(b&f))|d)) | (((~(c)|i)&~(i))|c) | 0 | 1 | 0 | 0 | not entailment |
(~(i)&~(b)) | (i|((d|f)>(d|b))) | 0 | 0 | 0 | 0 | not entailment |
((~(i)&k)&b) | (~(b)>f) | 1 | 1 | 0 | 0 | entailment |
~((d>k)) | (c>d) | 1 | 1 | 0 | 0 | entailment |
((~(i)&k)&b) | (c>d) | 0 | 1 | 0 | 0 | not entailment |
~((d>k)) | (~(b)>f) | 0 | 1 | 0 | 0 | not entailment |
(~(d)&((b&((k>i)&i))|(b&b))) | (~(i)|((b>(f&d))>((c>(l>k))|d))) | 1 | 0 | 0 | 0 | entailment |
~(((d|(c|d))>~(l))) | (k>(l|i)) | 1 | 1 | 0 | 0 | entailment |
(~(d)&((b&((k>i)&i))|(b&b))) | (k>(l|i)) | 0 | 1 | 0 | 0 | not entailment |
~(((d|(c|d))>~(l))) | (~(i)|((b>(f&d))>((c>(l>k))|d))) | 0 | 0 | 0 | 0 | not entailment |
(~(((i|(k>d))&((k|c)&i)))>i) | (c|((i&d)|i)) | 1 | 1 | 1 | 1 | entailment |
~(((b|(b|(l|k)))>((~(b)|~(k))|d))) | (l>b) | 1 | 1 | 1 | 0 | entailment |
(~(((i|(k>d))&((k|c)&i)))>i) | (l>b) | 0 | 1 | 0 | 0 | not entailment |
~(((b|(b|(l|k)))>((~(b)|~(k))|d))) | (c|((i&d)|i)) | 0 | 1 | 0 | 0 | not entailment |
((d>c)&c) | (c|(f&f)) | 1 | 1 | 0 | 0 | entailment |
~(((c|c)|~((f>i)))) | (i|((f|(l&i))>(((c|k)|f)>(f>b)))) | 1 | 0 | 0 | 0 | entailment |
((d>c)&c) | (i|((f|(l&i))>(((c|k)|f)>(f>b)))) | 0 | 0 | 0 | 0 | not entailment |
~(((c|c)|~((f>i)))) | (c|(f&f)) | 0 | 1 | 1 | 0 | not entailment |
(i&(b>b)) | (~(k)>(l|(c|i))) | 1 | 0 | 0 | 0 | entailment |
(l>~((k|l))) | (b|(l>c)) | 1 | 1 | 0 | 0 | entailment |
(i&(b>b)) | (b|(l>c)) | 0 | 1 | 0 | 0 | not entailment |
(l>~((k|l))) | (~(k)>(l|(c|i))) | 0 | 0 | 0 | 0 | not entailment |
~(((((c>(c|f))&b)|~(l))|k)) | ((i>~(((i|b)&((d>f)|b))))>(d>l)) | 1 | 0 | 0 | 0 | entailment |
~((~((c|~(~(c))))>(k|k))) | (~(k)&((c&d)>(f|i))) | 1 | 1 | 0 | 0 | entailment |
~(((((c>(c|f))&b)|~(l))|k)) | (~(k)&((c&d)>(f|i))) | 0 | 1 | 0 | 0 | not entailment |
~((~((c|~(~(c))))>(k|k))) | ((i>~(((i|b)&((d>f)|b))))>(d>l)) | 0 | 0 | 0 | 0 | not entailment |
(~((l>((b&~(i))&(d&i))))&(~((l&b))&i)) | ((b&((d|(d|l))|i))>(k&((l&l)&l))) | 1 | 1 | 0 | 0 | entailment |
(i&~(~(((~(f)|l)>f)))) | ((c>(~(f)>f))|((f&b)|~(l))) | 1 | 0 | 0 | 0 | entailment |
(~((l>((b&~(i))&(d&i))))&(~((l&b))&i)) | ((c>(~(f)>f))|((f&b)|~(l))) | 0 | 1 | 0 | 0 | not entailment |
(i&~(~(((~(f)|l)>f)))) | ((b&((d|(d|l))|i))>(k&((l&l)&l))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((f&k)>(c>((~(l)>c)>(b&f))))))) | (k&((l>(i>(d>d)))|~((~(i)|(~(i)>c))))) | 1 | 1 | 0 | 0 | entailment |
(d&b) | ((l|d)>(f>(~((l&i))>d))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((f&k)>(c>((~(l)>c)>(b&f))))))) | ((l|d)>(f>(~((l&i))>d))) | 0 | 1 | 0 | 0 | not entailment |
(d&b) | (k&((l>(i>(d>d)))|~((~(i)|(~(i)>c))))) | 0 | 0 | 0 | 0 | not entailment |
~(((z|a)>(z>a))) | (~(~(z))|((z&(z|(a&z)))&a)) | 1 | 0 | 1 | 1 | entailment |
(a&a) | (a|(z>((a|a)&z))) | 1 | 0 | 0 | 0 | entailment |
~(((z|a)>(z>a))) | (a|(z>((a|a)&z))) | 0 | 1 | 1 | 0 | not entailment |
(a&a) | (~(~(z))|((z&(z|(a&z)))&a)) | 0 | 0 | 0 | 0 | not entailment |
(a&(a&z)) | ((a|((a&a)&(a>a)))|a) | 1 | 0 | 1 | 0 | entailment |
(~(a)&(z>(z&a))) | ~((~(((a|a)&z))>z)) | 1 | 0 | 1 | 1 | entailment |
(a&(a&z)) | ~((~(((a|a)&z))>z)) | 0 | 0 | 1 | 0 | not entailment |
(~(a)&(z>(z&a))) | ((a|((a&a)&(a>a)))|a) | 0 | 0 | 1 | 1 | not entailment |
(a|a) | ((z>(z>z))>a) | 1 | 0 | 0 | 0 | entailment |
((z>a)>z) | (((z|z)|(a&z))|((z>z)&z)) | 1 | 0 | 1 | 0 | entailment |
(a|a) | (((z|z)|(a&z))|((z>z)&z)) | 0 | 0 | 0 | 0 | not entailment |
((z>a)>z) | ((z>(z>z))>a) | 0 | 0 | 1 | 0 | not entailment |
(z|(~(~((z>a)))&((a|a)|a))) | ((z|(a&z))|a) | 1 | 1 | 1 | 1 | entailment |
~(z) | ~(z) | 1 | 1 | 1 | 1 | entailment |
(z|(~(~((z>a)))&((a|a)|a))) | ~(z) | 0 | 1 | 1 | 1 | not entailment |
~(z) | ((z|(a&z))|a) | 0 | 0 | 0 | 0 | not entailment |
(j&(~(o)|((i>(y&y))&~(h)))) | (((u&(u|y))>(y&r))|((y|j)>((e>v)>j))) | 1 | 0 | 0 | 0 | entailment |
~(~(h)) | (v|(((y&v)|h)|(r&(v>~(u))))) | 1 | 0 | 0 | 0 | entailment |
(j&(~(o)|((i>(y&y))&~(h)))) | (v|(((y&v)|h)|(r&(v>~(u))))) | 0 | 1 | 0 | 0 | not entailment |
~(~(h)) | (((u&(u|y))>(y&r))|((y|j)>((e>v)>j))) | 0 | 0 | 0 | 0 | not entailment |
(~((~(i)>u))&((r&(i>(i&(u|u))))&o)) | ((y>y)>~((u|i))) | 1 | 1 | 0 | 0 | entailment |
~((i>(~(r)>(i&(o&e))))) | (((i&~(f))|~((f>r)))|(f|i)) | 1 | 0 | 0 | 0 | entailment |
(~((~(i)>u))&((r&(i>(i&(u|u))))&o)) | (((i&~(f))|~((f>r)))|(f|i)) | 0 | 1 | 0 | 0 | not entailment |
~((i>(~(r)>(i&(o&e))))) | ((y>y)>~((u|i))) | 0 | 1 | 0 | 0 | not entailment |
((((y&(o>(f&e)))|h)>~(((r>y)&y)))>~(h)) | ((~(h)|(v|y))|(((r|j)>o)|~(r))) | 1 | 1 | 0 | 0 | entailment |
~(((u|((h>u)>(i>h)))>(j>((o|o)|(o&u))))) | (~(((u&o)|(o>i)))>((f>v)&(h>r))) | 1 | 1 | 0 | 0 | entailment |
((((y&(o>(f&e)))|h)>~(((r>y)&y)))>~(h)) | (~(((u&o)|(o>i)))>((f>v)&(h>r))) | 0 | 1 | 0 | 0 | not entailment |
~(((u|((h>u)>(i>h)))>(j>((o|o)|(o&u))))) | ((~(h)|(v|y))|(((r|j)>o)|~(r))) | 0 | 1 | 0 | 0 | not entailment |
(j&((f>v)&f)) | (o|(j|(i&j))) | 1 | 1 | 0 | 0 | entailment |
~((((e&f)|(j>(y>f)))>(e>~((f&u))))) | ((h>y)>(~(~(e))|(o&((h>((e>f)>u))>h)))) | 1 | 0 | 0 | 0 | entailment |
(j&((f>v)&f)) | ((h>y)>(~(~(e))|(o&((h>((e>f)>u))>h)))) | 0 | 0 | 0 | 0 | not entailment |
~((((e&f)|(j>(y>f)))>(e>~((f&u))))) | (o|(j|(i&j))) | 0 | 1 | 0 | 0 | not entailment |
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