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 |
|---|---|---|---|---|---|---|
(u>~((u>u))) | (~((u&u))|(~(u)&(u&u))) | 1 | 0 | 1 | 1 | entailment |
(u|(u&u)) | (~((u&u))|(~(u)&(u&u))) | 0 | 0 | 1 | 0 | not entailment |
(u>~((u>u))) | (~((u>((~(u)&u)&(u&u))))|(u|(u&(u>u)))) | 0 | 0 | 1 | 1 | not entailment |
((s|s)&s) | (s|(s|(s&s))) | 1 | 0 | 1 | 1 | entailment |
(~((~(((s|s)>s))|s))&((s>(s>s))|s)) | ((s>~(s))&(s>(((s&s)|s)>(s>s)))) | 1 | 1 | 1 | 1 | entailment |
((s|s)&s) | ((s>~(s))&(s>(((s&s)|s)>(s>s)))) | 0 | 0 | 1 | 0 | not entailment |
(~((~(((s|s)>s))|s))&((s>(s>s))|s)) | (s|(s|(s&s))) | 0 | 1 | 1 | 1 | not entailment |
(((~((s|s))>s)>~((s|s)))>s) | (((s|s)&(s&s))&((s>s)|s)) | 1 | 1 | 1 | 0 | entailment |
(~((s|s))&((s>(s&s))|s)) | ~((((s>s)&(s>s))>s)) | 1 | 1 | 1 | 1 | entailment |
(((~((s|s))>s)>~((s|s)))>s) | ~((((s>s)&(s>s))>s)) | 0 | 1 | 1 | 0 | not entailment |
(~((s|s))&((s>(s&s))|s)) | (((s|s)&(s&s))&((s>s)|s)) | 0 | 1 | 1 | 1 | not entailment |
~(s) | ~((((s|s)>~((~((s&s))&(s>s))))&(s&s))) | 1 | 0 | 1 | 0 | entailment |
((~((s>s))>~(~((s&(s|(s|s))))))>s) | ~(~(~(~(s)))) | 1 | 1 | 1 | 1 | entailment |
~(s) | ~(~(~(~(s)))) | 0 | 0 | 1 | 0 | not entailment |
((~((s>s))>~(~((s&(s|(s|s))))))>s) | ~((((s|s)>~((~((s&s))&(s>s))))&(s&s))) | 0 | 0 | 1 | 1 | not entailment |
(~(s)|~(s)) | ((s|(s>(~(~(s))|s)))&~(s)) | 1 | 0 | 1 | 0 | entailment |
(s&(s&s)) | (~((s&s))>s) | 1 | 0 | 1 | 1 | entailment |
(~(s)|~(s)) | (~((s&s))>s) | 0 | 1 | 1 | 0 | not entailment |
(s&(s&s)) | ((s|(s>(~(~(s))|s)))&~(s)) | 0 | 0 | 1 | 0 | not entailment |
(~(~((x&(x&a))))&f) | (i|f) | 1 | 1 | 0 | 0 | entailment |
((x|t)&(x&(~((x&f))&x))) | (f>((a|(t|~(x)))>(((o|i)&f)&(a>o)))) | 1 | 0 | 0 | 0 | entailment |
(~(~((x&(x&a))))&f) | (f>((a|(t|~(x)))>(((o|i)&f)&(a>o)))) | 0 | 0 | 0 | 0 | not entailment |
((x|t)&(x&(~((x&f))&x))) | (i|f) | 0 | 1 | 0 | 0 | not entailment |
(z&(f&f)) | ((f>z)>(((((a|z)|(z|(f>f)))&i)|t)>(t|z))) | 1 | 0 | 0 | 0 | entailment |
~((z|z)) | (o|(z>o)) | 1 | 1 | 0 | 0 | entailment |
(z&(f&f)) | (o|(z>o)) | 0 | 1 | 0 | 0 | not entailment |
~((z|z)) | ((f>z)>(((((a|z)|(z|(f>f)))&i)|t)>(t|z))) | 0 | 0 | 0 | 0 | not entailment |
(~((((a>f)|(t>a))>(z&(z&a))))&z) | (a>f) | 1 | 1 | 1 | 1 | entailment |
~(((a>x)>(~(a)|t))) | (t|a) | 1 | 1 | 1 | 0 | entailment |
(~((((a>f)|(t>a))>(z&(z&a))))&z) | (t|a) | 0 | 1 | 1 | 0 | not entailment |
~(((a>x)>(~(a)|t))) | (a>f) | 0 | 1 | 0 | 0 | not entailment |
(~(~((i>((f&i)&t))))>(z|z)) | ((~((o|x))>(f&o))|(~((i|z))>t)) | 1 | 0 | 0 | 0 | entailment |
(a&(f|f)) | (((i>o)|t)>(f|i)) | 1 | 0 | 0 | 0 | entailment |
(~(~((i>((f&i)&t))))>(z|z)) | (((i>o)|t)>(f|i)) | 0 | 1 | 0 | 0 | not entailment |
(a&(f|f)) | ((~((o|x))>(f&o))|(~((i|z))>t)) | 0 | 0 | 0 | 0 | not entailment |
(~((~(~(t))>f))&(x|i)) | (~((f&z))|((x|i)|(i|o))) | 1 | 1 | 0 | 0 | entailment |
((t&(a|a))&f) | ~(((o&t)&~(f))) | 1 | 0 | 0 | 0 | entailment |
(~((~(~(t))>f))&(x|i)) | ~(((o&t)&~(f))) | 0 | 1 | 0 | 0 | not entailment |
((t&(a|a))&f) | (~((f&z))|((x|i)|(i|o))) | 0 | 0 | 0 | 0 | not entailment |
(~(i)&(((a>(o>z))>t)&((a|z)&x))) | (~(a)>z) | 1 | 1 | 1 | 1 | entailment |
(~(~(~((x|a))))&~(o)) | ~(o) | 1 | 1 | 1 | 1 | entailment |
(~(i)&(((a>(o>z))>t)&((a|z)&x))) | ~(o) | 0 | 1 | 1 | 0 | not entailment |
(~(~(~((x|a))))&~(o)) | (~(a)>z) | 0 | 1 | 0 | 0 | not entailment |
((z&i)&(z|x)) | (x|(i|(~((~(a)&(z&z)))>t))) | 1 | 0 | 0 | 0 | entailment |
~(((((a&o)&f)>f)>(i|((a|(~(f)|i))|o)))) | (((o|(~(i)&z))&f)|f) | 1 | 1 | 0 | 0 | entailment |
((z&i)&(z|x)) | (((o|(~(i)&z))&f)|f) | 0 | 0 | 0 | 0 | not entailment |
~(((((a&o)&f)>f)>(i|((a|(~(f)|i))|o)))) | (x|(i|(~((~(a)&(z&z)))>t))) | 0 | 1 | 0 | 0 | not entailment |
(~((f>t))|f) | ((o|f)|(~((t&(f|(z&~(a)))))&f)) | 1 | 0 | 0 | 0 | entailment |
~(~((t&(z>i)))) | (((i|z)>o)|~((~(t)&(i&x)))) | 1 | 0 | 0 | 0 | entailment |
(~((f>t))|f) | (((i|z)>o)|~((~(t)&(i&x)))) | 0 | 0 | 0 | 0 | not entailment |
~(~((t&(z>i)))) | ((o|f)|(~((t&(f|(z&~(a)))))&f)) | 0 | 0 | 0 | 0 | not entailment |
((~(~(a))>(~(t)>z))&~((o|(f>(x|t))))) | (f|(a|z)) | 1 | 1 | 1 | 0 | entailment |
~((((~(z)&o)>t)|(x|a))) | ((f>~(o))>~(~(((a|o)|o)))) | 1 | 0 | 0 | 0 | entailment |
((~(~(a))>(~(t)>z))&~((o|(f>(x|t))))) | ((f>~(o))>~(~(((a|o)|o)))) | 0 | 1 | 1 | 0 | not entailment |
~((((~(z)&o)>t)|(x|a))) | (f|(a|z)) | 0 | 1 | 0 | 0 | not entailment |
((z&a)&(z&o)) | (f>(a&((a&a)&o))) | 1 | 0 | 0 | 0 | entailment |
((i&x)&o) | ~(~((z>(~(t)>i)))) | 1 | 0 | 0 | 0 | entailment |
((z&a)&(z&o)) | ~(~((z>(~(t)>i)))) | 0 | 0 | 0 | 0 | not entailment |
((i&x)&o) | (f>(a&((a&a)&o))) | 0 | 0 | 0 | 0 | not entailment |
(((i>~(a))&(a&(o|(f>a))))&~((f>(z>t)))) | (a|o) | 1 | 1 | 1 | 1 | entailment |
~(((i|f)>z)) | ((~(i)&~(i))>~((z&(~(x)|(i&f))))) | 1 | 0 | 0 | 0 | entailment |
(((i>~(a))&(a&(o|(f>a))))&~((f>(z>t)))) | ((~(i)&~(i))>~((z&(~(x)|(i&f))))) | 0 | 1 | 0 | 0 | not entailment |
~(((i|f)>z)) | (a|o) | 0 | 1 | 0 | 0 | not entailment |
~((((i&a)>(o&(f&(f&a))))>~((~(x)&i)))) | (x|(((~(o)|f)|x)>(f|i))) | 1 | 1 | 1 | 0 | entailment |
(x|z) | ((i&t)|((x|(a|a))|z)) | 1 | 0 | 0 | 0 | entailment |
~((((i&a)>(o&(f&(f&a))))>~((~(x)&i)))) | ((i&t)|((x|(a|a))|z)) | 0 | 1 | 0 | 0 | not entailment |
(x|z) | (x|(((~(o)|f)|x)>(f|i))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(((i>i)&x)))|~(((o>(x>a))|t))) | (t>x) | 1 | 1 | 1 | 1 | entailment |
~((o>((~(a)&(i|i))>((z&t)>f)))) | ~(((~(t)|(t&z))>~((((a&f)>f)>z)))) | 1 | 0 | 1 | 0 | entailment |
(~(~(((i>i)&x)))|~(((o>(x>a))|t))) | ~(((~(t)|(t&z))>~((((a&f)>f)>z)))) | 0 | 1 | 0 | 0 | not entailment |
~((o>((~(a)&(i|i))>((z&t)>f)))) | (t>x) | 0 | 1 | 0 | 0 | not entailment |
(x|x) | ((x|~(t))|o) | 1 | 0 | 0 | 0 | entailment |
~(a) | ((o&f)|((a&o)>z)) | 1 | 0 | 0 | 0 | entailment |
(x|x) | ((o&f)|((a&o)>z)) | 0 | 0 | 0 | 0 | not entailment |
~(a) | ((x|~(t))|o) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((x>(x&~((~(i)&o))))))) | ((o|x)|~((~((o|f))|f))) | 1 | 1 | 0 | 0 | entailment |
(((x&(t&o))|(z|o))&(f&z)) | (((i&a)|(f&~(~(f))))|a) | 1 | 1 | 0 | 0 | entailment |
~(~(~((x>(x&~((~(i)&o))))))) | (((i&a)|(f&~(~(f))))|a) | 0 | 1 | 0 | 0 | not entailment |
(((x&(t&o))|(z|o))&(f&z)) | ((o|x)|~((~((o|f))|f))) | 0 | 1 | 1 | 0 | not entailment |
(~((t&z))&(~(i)&x)) | ((x|(((a|t)&o)>i))|((x|o)>(z&o))) | 1 | 0 | 0 | 0 | entailment |
~((~((~(o)|(x|a)))>((x>(o>x))>x))) | ~(((x|(a&(a|~((t>(t&f))))))|(x|(z&x)))) | 1 | 0 | 0 | 0 | entailment |
(~((t&z))&(~(i)&x)) | ~(((x|(a&(a|~((t>(t&f))))))|(x|(z&x)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((~(o)|(x|a)))>((x>(o>x))>x))) | ((x|(((a|t)&o)>i))|((x|o)>(z&o))) | 0 | 1 | 0 | 0 | not entailment |
((f|a)&(o&(((x>i)&z)&x))) | (z|(a|~(x))) | 1 | 1 | 1 | 1 | entailment |
(t&(~((o&i))|(t|(f>a)))) | (t|~(i)) | 1 | 1 | 1 | 1 | entailment |
((f|a)&(o&(((x>i)&z)&x))) | (t|~(i)) | 0 | 1 | 0 | 0 | not entailment |
(t&(~((o&i))|(t|(f>a)))) | (z|(a|~(x))) | 0 | 1 | 0 | 0 | not entailment |
~(((x|t)&(~(z)|x))) | (~(~((x|x)))>i) | 1 | 1 | 0 | 0 | entailment |
(f|(~(a)&~(z))) | ((a>i)|f) | 1 | 1 | 0 | 0 | entailment |
~(((x|t)&(~(z)|x))) | ((a>i)|f) | 0 | 1 | 0 | 0 | not entailment |
(f|(~(a)&~(z))) | (~(~((x|x)))>i) | 0 | 1 | 0 | 0 | not entailment |
(((t|(a|z))>z)&i) | (i|z) | 1 | 1 | 1 | 1 | entailment |
((a>(o>t))>a) | ((a&(o|(~(f)&(t&~(~((t&t)))))))|(z|a)) | 1 | 0 | 0 | 0 | entailment |
(((t|(a|z))>z)&i) | ((a&(o|(~(f)&(t&~(~((t&t)))))))|(z|a)) | 0 | 0 | 0 | 0 | not entailment |
((a>(o>t))>a) | (i|z) | 0 | 1 | 0 | 0 | not entailment |
(~((z>a))&((z|x)|f)) | (z|(f&a)) | 1 | 1 | 1 | 0 | entailment |
(~(f)&((t>x)>f)) | ((i>~(o))|t) | 1 | 1 | 0 | 0 | entailment |
(~((z>a))&((z|x)|f)) | ((i>~(o))|t) | 0 | 1 | 0 | 0 | not entailment |
(~(f)&((t>x)>f)) | (z|(f&a)) | 0 | 1 | 0 | 0 | not entailment |
~((~((~(o)>i))>(x&i))) | ((o>((i|i)&f))|(((o>(a|~(i)))>x)|x)) | 1 | 0 | 0 | 0 | entailment |
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