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 |
|---|---|---|---|---|---|---|
~((~(~(((w|w)&w)))&(((w&w)&w)&(w&w)))) | ~((w|w)) | 1 | 1 | 1 | 1 | entailment |
(w&(~(~(w))|(w|~((w&w))))) | ~((w|w)) | 0 | 1 | 1 | 1 | not entailment |
~((~(~(((w|w)&w)))&(((w&w)&w)&(w&w)))) | (w|w) | 0 | 1 | 1 | 0 | not entailment |
~(a) | (x|~((a&~((~(y)>~(t)))))) | 1 | 0 | 0 | 0 | entailment |
~(~(a)) | (y>a) | 1 | 1 | 0 | 0 | entailment |
~(~(a)) | (x|~((a&~((~(y)>~(t)))))) | 0 | 0 | 0 | 0 | not entailment |
((x&(a&a))&y) | (x|~(y)) | 1 | 1 | 1 | 0 | entailment |
~((~((~(x)&u))|~(~((z&x))))) | (u|(~((x&a))|~((~(a)|(z&(t|u)))))) | 1 | 0 | 0 | 0 | entailment |
((x&(a&a))&y) | (u|(~((x&a))|~((~(a)|(z&(t|u)))))) | 0 | 0 | 0 | 0 | not entailment |
~((~((~(x)&u))|~(~((z&x))))) | (x|~(y)) | 0 | 1 | 0 | 0 | not entailment |
((z&~((y|a)))&u) | (u&((~(~(~(~(y))))|y)|((z>(a&a))>y))) | 1 | 0 | 1 | 0 | entailment |
(~((u&(u&a)))&t) | (~(~((~((((u|z)>x)|u))|t)))|x) | 1 | 0 | 0 | 0 | entailment |
((z&~((y|a)))&u) | (~(~((~((((u|z)>x)|u))|t)))|x) | 0 | 0 | 0 | 0 | not entailment |
(~((u&(u&a)))&t) | (u&((~(~(~(~(y))))|y)|((z>(a&a))>y))) | 0 | 0 | 0 | 0 | not entailment |
(z>((z&~(~((u&~(x)))))|u)) | ((z&y)>u) | 1 | 1 | 0 | 0 | entailment |
(y&x) | ((y|((~((x|t))&t)|~(a)))&(~(a)>(u|x))) | 1 | 0 | 0 | 0 | entailment |
(z>((z&~(~((u&~(x)))))|u)) | ((y|((~((x|t))&t)|~(a)))&(~(a)>(u|x))) | 0 | 0 | 0 | 0 | not entailment |
(y&x) | ((z&y)>u) | 0 | 0 | 0 | 0 | not entailment |
(u&(y&y)) | (y|~(((y|y)>t))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((u|(a>x))|z)))) | (~(~((t&u)))>(u&~((x&z)))) | 1 | 0 | 0 | 0 | entailment |
(u&(y&y)) | (~(~((t&u)))>(u&~((x&z)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((u|(a>x))|z)))) | (y|~(((y|y)>t))) | 0 | 1 | 0 | 0 | not entailment |
((u|~((~(t)&u)))&~(((z|t)|~(y)))) | (y|((~(x)&z)|(a|t))) | 1 | 1 | 0 | 0 | entailment |
~(((~(x)>(y&u))|((a&t)|a))) | ~((~((x>a))&u)) | 1 | 1 | 1 | 0 | entailment |
((u|~((~(t)&u)))&~(((z|t)|~(y)))) | ~((~((x>a))&u)) | 0 | 1 | 0 | 0 | not entailment |
~(((~(x)>(y&u))|((a&t)|a))) | (y|((~(x)&z)|(a|t))) | 0 | 1 | 0 | 0 | not entailment |
((~(((u&y)|x))|(z>~(~(x))))&u) | ((~((z&y))>x)>x) | 1 | 1 | 1 | 1 | entailment |
(z&y) | ((((a&z)>(~((t|z))|~(~(t))))|y)|x) | 1 | 0 | 0 | 0 | entailment |
((~(((u&y)|x))|(z>~(~(x))))&u) | ((((a&z)>(~((t|z))|~(~(t))))|y)|x) | 0 | 0 | 0 | 0 | not entailment |
(z&y) | ((~((z&y))>x)>x) | 0 | 0 | 0 | 0 | not entailment |
(y&(~(t)&u)) | (((u>y)|(a|(y>x)))>((u&u)|u)) | 1 | 0 | 0 | 0 | entailment |
(((a>(u>u))>y)&((t&x)&(~(a)&x))) | (~((u&~((x&t))))|~((((u>y)>a)|z))) | 1 | 0 | 0 | 0 | entailment |
(y&(~(t)&u)) | (~((u&~((x&t))))|~((((u>y)>a)|z))) | 0 | 0 | 0 | 0 | not entailment |
(((a>(u>u))>y)&((t&x)&(~(a)&x))) | (((u>y)|(a|(y>x)))>((u&u)|u)) | 0 | 1 | 1 | 0 | not entailment |
((t|(y>(a>z)))>~(~(y))) | (((~(y)|z)|((t>y)&(y|x)))&y) | 1 | 0 | 0 | 0 | entailment |
~(((y|z)>x)) | (x>(~((y>y))&((y>x)|t))) | 1 | 0 | 0 | 0 | entailment |
((t|(y>(a>z)))>~(~(y))) | (x>(~((y>y))&((y>x)|t))) | 0 | 1 | 0 | 0 | not entailment |
~(((y|z)>x)) | (((~(y)|z)|((t>y)&(y|x)))&y) | 0 | 0 | 0 | 0 | not entailment |
~(((y>a)|~(u))) | (u|(~(x)|(t&t))) | 1 | 1 | 0 | 0 | entailment |
~((x>((~(~((~(y)>(t&y))))>~(u))>t))) | (x&(~(z)|(t>a))) | 1 | 1 | 0 | 0 | entailment |
~(((y>a)|~(u))) | (x&(~(z)|(t>a))) | 0 | 1 | 0 | 0 | not entailment |
~((x>((~(~((~(y)>(t&y))))>~(u))>t))) | (u|(~(x)|(t&t))) | 0 | 1 | 1 | 0 | not entailment |
(a&t) | ((x|t)&(a>((t&u)>(t|((y&x)&u))))) | 1 | 0 | 0 | 0 | entailment |
(~(~((((x|t)|(u&u))&((t|x)|z))))&z) | ~(~((u|(z|~((y&x)))))) | 1 | 1 | 0 | 0 | entailment |
(a&t) | ~(~((u|(z|~((y&x)))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((((x|t)|(u&u))&((t|x)|z))))&z) | ((x|t)&(a>((t&u)>(t|((y&x)&u))))) | 0 | 1 | 0 | 0 | not entailment |
(y>~(((a|(u>z))|~((a|((z|u)>y)))))) | ((y&(z&x))>t) | 1 | 1 | 0 | 0 | entailment |
(~((u&(y|x)))>~((a>a))) | ((((y&y)>(y>~(((y|t)>t))))|y)&u) | 1 | 0 | 0 | 0 | entailment |
(y>~(((a|(u>z))|~((a|((z|u)>y)))))) | ((((y&y)>(y>~(((y|t)>t))))|y)&u) | 0 | 1 | 0 | 0 | not entailment |
(~((u&(y|x)))>~((a>a))) | ((y&(z&x))>t) | 0 | 1 | 0 | 0 | not entailment |
~(((~(~(z))&(u|z))|y)) | ((u&z)>(x>a)) | 1 | 1 | 0 | 0 | entailment |
(x&~(~((((a&x)>(z&u))>(u|(z|a)))))) | ~(~(~(~(~(~(x)))))) | 1 | 1 | 1 | 1 | entailment |
~(((~(~(z))&(u|z))|y)) | ~(~(~(~(~(~(x)))))) | 0 | 1 | 0 | 0 | not entailment |
(x&~(~((((a&x)>(z&u))>(u|(z|a)))))) | ((u&z)>(x>a)) | 0 | 1 | 1 | 0 | not entailment |
~((z&z)) | ((~(a)>x)|((z>y)|y)) | 1 | 0 | 0 | 0 | entailment |
(z|((((y&x)>(x&x))|u)>a)) | (((y>a)&(z>~(y)))|z) | 1 | 1 | 1 | 0 | entailment |
~((z&z)) | (((y>a)&(z>~(y)))|z) | 0 | 0 | 0 | 0 | not entailment |
(z|((((y&x)>(x&x))|u)>a)) | ((~(a)>x)|((z>y)|y)) | 0 | 1 | 1 | 0 | not entailment |
(s&(j>(s|s))) | ((j&j)>(j>s)) | 1 | 1 | 1 | 1 | entailment |
~((~(j)|((s&j)|(s|s)))) | (((s&~((s&(j>s))))>j)&j) | 1 | 1 | 1 | 0 | entailment |
(s&(j>(s|s))) | (((s&~((s&(j>s))))>j)&j) | 0 | 0 | 1 | 0 | not entailment |
~((~(j)|((s&j)|(s|s)))) | ((j&j)>(j>s)) | 0 | 1 | 1 | 0 | not entailment |
~(~((~((((j>(j>(s>s)))&s)|(s>s)))|j))) | ((~((((j|s)>j)>(j|j)))&(j>j))>(j|j)) | 1 | 1 | 1 | 0 | entailment |
~((j|j)) | ~(j) | 1 | 1 | 1 | 1 | entailment |
~(~((~((((j>(j>(s>s)))&s)|(s>s)))|j))) | ~(j) | 0 | 1 | 1 | 0 | not entailment |
~((j|j)) | ((~((((j|s)>j)>(j|j)))&(j>j))>(j|j)) | 0 | 0 | 0 | 0 | not entailment |
((j>s)&s) | ((j>(s>((j|s)>j)))>(s&(s|(s>s)))) | 1 | 0 | 1 | 0 | entailment |
(j&(j>j)) | (s>j) | 1 | 1 | 0 | 0 | entailment |
((j>s)&s) | (s>j) | 0 | 1 | 1 | 0 | not entailment |
(j&(j>j)) | ((j>(s>((j|s)>j)))>(s&(s|(s>s)))) | 0 | 0 | 0 | 0 | not entailment |
(j|((s>j)>((s|s)&s))) | (j|s) | 1 | 1 | 1 | 1 | entailment |
((s>~(s))&~(s)) | (j|~(s)) | 1 | 1 | 0 | 0 | entailment |
(j|((s>j)>((s|s)&s))) | (j|~(s)) | 0 | 1 | 1 | 0 | not entailment |
((s>~(s))&~(s)) | (j|s) | 0 | 1 | 0 | 0 | not entailment |
(s&s) | ((((s>j)>(s&(j&s)))&(s|(s|(s&s))))&s) | 1 | 0 | 0 | 0 | entailment |
(j|~(((j|s)|j))) | ((s>((s&s)&(j|j)))&(j>(j|(j>~(j))))) | 1 | 0 | 1 | 0 | entailment |
(s&s) | ((s>((s&s)&(j|j)))&(j>(j|(j>~(j))))) | 0 | 0 | 0 | 0 | not entailment |
(j|~(((j|s)|j))) | ((((s>j)>(s&(j&s)))&(s|(s|(s&s))))&s) | 0 | 0 | 1 | 0 | not entailment |
~(~((j&s))) | ~(((j|~(s))>~((((s|j)&s)>(j&s))))) | 1 | 0 | 1 | 0 | entailment |
((s|(j|s))&~(j)) | ~(((((s|s)|s)>(j|~((s&j))))>j)) | 1 | 0 | 1 | 0 | entailment |
~(~((j&s))) | ~(((((s|s)|s)>(j|~((s&j))))>j)) | 0 | 0 | 1 | 0 | not entailment |
((s|(j|s))&~(j)) | ~(((j|~(s))>~((((s|j)&s)>(j&s))))) | 0 | 0 | 1 | 0 | not entailment |
~(~((j&((s>(j|j))|j)))) | ((j&j)|~((~(s)|s))) | 1 | 1 | 1 | 0 | entailment |
~(((((s&s)|s)&((s&j)&j))|(j|(j&s)))) | (j>((s>((s|j)>s))&~((j>(j|j))))) | 1 | 1 | 1 | 0 | entailment |
~(~((j&((s>(j|j))|j)))) | (j>((s>((s|j)>s))&~((j>(j|j))))) | 0 | 0 | 1 | 0 | not entailment |
~(((((s&s)|s)&((s&j)&j))|(j|(j&s)))) | ((j&j)|~((~(s)|s))) | 0 | 1 | 1 | 0 | not entailment |
(s&j) | ((s|~(j))|(((j>s)>(s|s))&((s&s)|(s|s)))) | 1 | 0 | 1 | 0 | entailment |
~(((s|j)&(j&s))) | ~((((s&s)&s)&((s|~(j))&j))) | 1 | 0 | 1 | 0 | entailment |
(s&j) | ~((((s&s)&s)&((s|~(j))&j))) | 0 | 0 | 1 | 0 | not entailment |
~(((s|j)&(j&s))) | ((s|~(j))|(((j>s)>(s|s))&((s&s)|(s|s)))) | 0 | 0 | 1 | 0 | not entailment |
~(~((((n&n)&t)|((t|(t&~((j&t))))&n)))) | (n&((j&~((n&n)))|(((j|j)&t)>n))) | 1 | 1 | 1 | 0 | entailment |
((~((d&d))>t)&(d&(((d>j)|j)|t))) | (((d>(d|j))&(d|~(n)))|~(~(((j>t)&d)))) | 1 | 0 | 0 | 0 | entailment |
~(~((((n&n)&t)|((t|(t&~((j&t))))&n)))) | (((d>(d|j))&(d|~(n)))|~(~(((j>t)&d)))) | 0 | 1 | 0 | 0 | not entailment |
((~((d&d))>t)&(d&(((d>j)|j)|t))) | (n&((j&~((n&n)))|(((j|j)&t)>n))) | 0 | 1 | 0 | 0 | not entailment |
~((n>~((d&j)))) | ((d&n)|~((t&~(d)))) | 1 | 0 | 0 | 0 | entailment |
(j&t) | ~(~(((d>((~((j&j))|(t&t))>(d>n)))>t))) | 1 | 0 | 0 | 0 | entailment |
~((n>~((d&j)))) | ~(~(((d>((~((j&j))|(t&t))>(d>n)))>t))) | 0 | 0 | 0 | 0 | not entailment |
(j&t) | ((d&n)|~((t&~(d)))) | 0 | 0 | 0 | 0 | not entailment |
~((((n|d)&((j|n)&(t>j)))|((j|d)>d))) | (~(((j>(n|(j&n)))&(j>d)))&((n&j)>(j|n))) | 1 | 0 | 1 | 0 | entailment |
((n>j)&n) | ((t>((~(d)>t)|(~(n)&((n|j)>~(j)))))&n) | 1 | 0 | 0 | 0 | entailment |
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