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 |
|---|---|---|---|---|---|---|
((x&~(h))&(((n|(y&b))|b)>e)) | (x&(~((x&((y>~(h))|e)))>~(e))) | 1 | 0 | 1 | 0 | entailment |
((~(h)&(b&y))&(~((d>h))&((h|y)>~(h)))) | (x&(~((x&((y>~(h))|e)))>~(e))) | 0 | 1 | 0 | 0 | not entailment |
((x&~(h))&(((n|(y&b))|b)>e)) | ((x>(d|h))|b) | 0 | 1 | 0 | 0 | not entailment |
~(((b&x)>(~(b)|~((y|n))))) | (d|b) | 1 | 1 | 0 | 0 | entailment |
(~(n)&~((d|h))) | (d>e) | 1 | 1 | 0 | 0 | entailment |
~(((b&x)>(~(b)|~((y|n))))) | (d>e) | 0 | 1 | 0 | 0 | not entailment |
(~(n)&~((d|h))) | (d|b) | 0 | 1 | 0 | 0 | not entailment |
((((t|r)&u)|a)&(~(n)&(v>a))) | ~((((y>~(v))|(n&~(v)))&(~(i)&n))) | 1 | 0 | 0 | 0 | entailment |
(a&(~(r)&u)) | ((u|~(i))|(x&g)) | 1 | 0 | 0 | 0 | entailment |
((((t|r)&u)|a)&(~(n)&(v>a))) | ((u|~(i))|(x&g)) | 0 | 1 | 0 | 0 | not entailment |
(a&(~(r)&u)) | ~((((y>~(v))|(n&~(v)))&(~(i)&n))) | 0 | 0 | 0 | 0 | not entailment |
~(~((((g|u)&~(i))&(y|(u|i))))) | ((((i|y)>i)&(v|~((a|r))))>((y&g)>(u|x))) | 1 | 0 | 0 | 0 | entailment |
((r>y)&a) | (~(t)>(a|a)) | 1 | 0 | 0 | 0 | entailment |
~(~((((g|u)&~(i))&(y|(u|i))))) | (~(t)>(a|a)) | 0 | 1 | 0 | 0 | not entailment |
((r>y)&a) | ((((i|y)>i)&(v|~((a|r))))>((y&g)>(u|x))) | 0 | 0 | 0 | 0 | not entailment |
(n&i) | (((v&((v>n)|y))>~((n>y)))|i) | 1 | 0 | 0 | 0 | entailment |
(~(t)&v) | ((t&(i&u))>(r|~(g))) | 1 | 0 | 0 | 0 | entailment |
(n&i) | ((t&(i&u))>(r|~(g))) | 0 | 0 | 0 | 0 | not entailment |
(~(t)&v) | (((v&((v>n)|y))>~((n>y)))|i) | 0 | 0 | 0 | 0 | not entailment |
((((v&x)|v)|(y>n))&i) | ((((r>v)>(~(i)>a))|y)|((r|a)|y)) | 1 | 0 | 0 | 0 | entailment |
(g|(((g>~(a))>n)&g)) | ((g|a)|(g|u)) | 1 | 1 | 0 | 0 | entailment |
((((v&x)|v)|(y>n))&i) | ((g|a)|(g|u)) | 0 | 1 | 0 | 0 | not entailment |
(g|(((g>~(a))>n)&g)) | ((((r>v)>(~(i)>a))|y)|((r|a)|y)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((~(a)|(~(x)>(i>~(r))))))) | (~(((((x>i)&a)>x)|~(r)))|(t&~(u))) | 1 | 1 | 0 | 0 | entailment |
~((((a|y)|u)>(i|((g&n)|(i|n))))) | (i>(g|y)) | 1 | 1 | 1 | 0 | entailment |
~(~(~((~(a)|(~(x)>(i>~(r))))))) | (i>(g|y)) | 0 | 1 | 0 | 0 | not entailment |
~((((a|y)|u)>(i|((g&n)|(i|n))))) | (~(((((x>i)&a)>x)|~(r)))|(t&~(u))) | 0 | 0 | 0 | 0 | not entailment |
(((a|t)>(v>i))&~((~(t)|y))) | (~(((u|~(r))>t))|(~(u)|~(y))) | 1 | 0 | 0 | 0 | entailment |
((~(n)>n)|(n&~(n))) | ((~((n&n))&(r>(~(v)|i)))>u) | 1 | 0 | 0 | 0 | entailment |
(((a|t)>(v>i))&~((~(t)|y))) | ((~((n&n))&(r>(~(v)|i)))>u) | 0 | 1 | 0 | 0 | not entailment |
((~(n)>n)|(n&~(n))) | (~(((u|~(r))>t))|(~(u)|~(y))) | 0 | 0 | 0 | 0 | not entailment |
(~((x|n))&t) | (((x|n)>(t|n))|y) | 1 | 0 | 0 | 0 | entailment |
((((u|t)&(v|n))&((i&(i>a))&x))|(v&t)) | (v|(y>n)) | 1 | 1 | 0 | 0 | entailment |
(~((x|n))&t) | (v|(y>n)) | 0 | 1 | 0 | 0 | not entailment |
((((u|t)&(v|n))&((i&(i>a))&x))|(v&t)) | (((x|n)>(t|n))|y) | 0 | 1 | 0 | 0 | not entailment |
(~(~(((~(v)>t)&(x&i))))&(n&(x|n))) | ((u>(n&(n&(t|u))))&n) | 1 | 1 | 0 | 0 | entailment |
(r&(a>u)) | ~(((x>~(r))&((~((r|g))&((u>x)&u))&t))) | 1 | 0 | 0 | 0 | entailment |
(~(~(((~(v)>t)&(x&i))))&(n&(x|n))) | ~(((x>~(r))&((~((r|g))&((u>x)&u))&t))) | 0 | 0 | 0 | 0 | not entailment |
(r&(a>u)) | ((u>(n&(n&(t|u))))&n) | 0 | 0 | 0 | 0 | not entailment |
((v|(u|~(g)))&g) | (u|g) | 1 | 1 | 1 | 1 | entailment |
(((i&x)|((y&r)>(~(v)>i)))>i) | (((r|g)|(x&(t|u)))>(r|(a|i))) | 1 | 1 | 0 | 0 | entailment |
((v|(u|~(g)))&g) | (((r|g)|(x&(t|u)))>(r|(a|i))) | 0 | 0 | 0 | 0 | not entailment |
(((i&x)|((y&r)>(~(v)>i)))>i) | (u|g) | 0 | 1 | 0 | 0 | not entailment |
((v>n)&n) | (((g|v)|u)|(y|(n|((i&t)|(x|i))))) | 1 | 0 | 0 | 0 | entailment |
(~(((a|y)|t))|~((t&(a|r)))) | ~(((r&(x&t))&x)) | 1 | 1 | 0 | 0 | entailment |
((v>n)&n) | ~(((r&(x&t))&x)) | 0 | 0 | 0 | 0 | not entailment |
(~(((a|y)|t))|~((t&(a|r)))) | (((g|v)|u)|(y|(n|((i&t)|(x|i))))) | 0 | 0 | 0 | 0 | not entailment |
(~(v)&(x|n)) | ~(v) | 1 | 1 | 1 | 1 | entailment |
~(~(~(~(((y&g)&((y|g)&n)))))) | ((~(i)>n)&(v>n)) | 1 | 1 | 0 | 0 | entailment |
(~(v)&(x|n)) | ((~(i)>n)&(v>n)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(~(((y&g)&((y|g)&n)))))) | ~(v) | 0 | 1 | 0 | 0 | not entailment |
(n|~(((i&((v|i)|(v&(u>u))))|r))) | ~(~((~((v&(a&v)))>(n|(((i&r)&v)>x))))) | 1 | 0 | 0 | 0 | entailment |
((((a|(t&x))|r)>g)&~(((u>n)|(~(n)>y)))) | (u|~(((g&t)>~((u&g))))) | 1 | 1 | 1 | 0 | entailment |
(n|~(((i&((v|i)|(v&(u>u))))|r))) | (u|~(((g&t)>~((u&g))))) | 0 | 1 | 0 | 0 | not entailment |
((((a|(t&x))|r)>g)&~(((u>n)|(~(n)>y)))) | ~(~((~((v&(a&v)))>(n|(((i&r)&v)>x))))) | 0 | 1 | 0 | 0 | not entailment |
(((r>((x&(u>i))&v))&~(~(n)))&(u&(n>v))) | (((y|(u&(r&a)))|((n|u)|(((n|a)>t)|x)))|u) | 1 | 1 | 0 | 0 | entailment |
(((~(n)|(i>(i>v)))&~(((r|g)>i)))&r) | ~((~(~(((i&(i>x))&n)))&(n>r))) | 1 | 1 | 0 | 0 | entailment |
(((r>((x&(u>i))&v))&~(~(n)))&(u&(n>v))) | ~((~(~(((i&(i>x))&n)))&(n>r))) | 0 | 1 | 1 | 0 | not entailment |
(((~(n)|(i>(i>v)))&~(((r|g)>i)))&r) | (((y|(u&(r&a)))|((n|u)|(((n|a)>t)|x)))|u) | 0 | 0 | 0 | 0 | not entailment |
(~((n>~(y)))&~(x)) | ((~(~(n))&x)>t) | 1 | 1 | 0 | 0 | entailment |
(~((v>~(~(((a>~(u))|(g&x))))))&(x|u)) | ~(~(v)) | 1 | 1 | 1 | 1 | entailment |
(~((n>~(y)))&~(x)) | ~(~(v)) | 0 | 1 | 0 | 0 | not entailment |
(~((v>~(~(((a>~(u))|(g&x))))))&(x|u)) | ((~(~(n))&x)>t) | 0 | 1 | 0 | 0 | not entailment |
~((y|(t>(x|r)))) | (x>(n|u)) | 1 | 1 | 0 | 0 | entailment |
(~(((g|(x|t))&t))&r) | (((((n|u)&(g&u))&~(t))&x)|(r|(~(a)|y))) | 1 | 0 | 0 | 0 | entailment |
~((y|(t>(x|r)))) | (((((n|u)&(g&u))&~(t))&x)|(r|(~(a)|y))) | 0 | 0 | 0 | 0 | not entailment |
(~(((g|(x|t))&t))&r) | (x>(n|u)) | 0 | 1 | 0 | 0 | not entailment |
((n|v)&((a&r)&(y&a))) | ((a|~(i))|(x>y)) | 1 | 1 | 0 | 0 | entailment |
((x&n)&(u>(x&y))) | (((u&i)&i)>n) | 1 | 1 | 0 | 0 | entailment |
((n|v)&((a&r)&(y&a))) | (((u&i)&i)>n) | 0 | 1 | 0 | 0 | not entailment |
((x&n)&(u>(x&y))) | ((a|~(i))|(x>y)) | 0 | 1 | 0 | 0 | not entailment |
(g&(u>g)) | ((~(n)|a)|(~(a)>g)) | 1 | 0 | 0 | 0 | entailment |
(((r|v)|(t&(u>x)))&~((t>a))) | ~((i&((i&i)&a))) | 1 | 1 | 0 | 0 | entailment |
(g&(u>g)) | ~((i&((i&i)&a))) | 0 | 0 | 0 | 0 | not entailment |
(((r|v)|(t&(u>x)))&~((t>a))) | ((~(n)|a)|(~(a)>g)) | 0 | 1 | 0 | 0 | not entailment |
(w|w) | ((w&~((w&w)))|(w|((w>w)>w))) | 1 | 0 | 1 | 0 | entailment |
((w&(w|w))>(w>~((w&w)))) | ~((((((((w>w)|w)&w)&w)>w)|(w|w))>w)) | 1 | 0 | 1 | 0 | entailment |
(w|w) | ~((((((((w>w)|w)&w)&w)>w)|(w|w))>w)) | 0 | 0 | 1 | 0 | not entailment |
((w&(w|w))>(w>~((w&w)))) | ((w&~((w&w)))|(w|((w>w)>w))) | 0 | 0 | 1 | 0 | not entailment |
((w&(w>(w>w)))|~((w>w))) | (w&w) | 1 | 1 | 1 | 1 | entailment |
~(w) | (~(w)|~(w)) | 1 | 0 | 1 | 1 | entailment |
((w&(w>(w>w)))|~((w>w))) | (~(w)|~(w)) | 0 | 1 | 1 | 1 | not entailment |
~(w) | (w&w) | 0 | 1 | 1 | 0 | not entailment |
(((w&w)|~((((w>(w&(w>w)))>w)>w)))&w) | (w|w) | 1 | 1 | 1 | 1 | entailment |
~(w) | ~((w&((w&~((w>w)))>w))) | 1 | 0 | 1 | 0 | entailment |
(((w&w)|~((((w>(w&(w>w)))>w)>w)))&w) | ~((w&((w&~((w>w)))>w))) | 0 | 1 | 1 | 1 | not entailment |
~(w) | (w|w) | 0 | 1 | 1 | 0 | not entailment |
((w|w)&w) | (((w>w)&w)&(w|w)) | 1 | 0 | 1 | 0 | entailment |
((w&w)>~((w>(w|w)))) | ~(w) | 1 | 1 | 1 | 1 | entailment |
((w|w)&w) | ~(w) | 0 | 1 | 1 | 0 | not entailment |
((w&w)>~((w>(w|w)))) | (((w>w)&w)&(w|w)) | 0 | 1 | 1 | 1 | not entailment |
~(~((w|w))) | ((w&w)&w) | 1 | 1 | 1 | 1 | entailment |
~(((w>w)>w)) | ~((w|w)) | 1 | 1 | 1 | 1 | entailment |
~(~((w|w))) | ~((w|w)) | 0 | 1 | 1 | 0 | not entailment |
~(((w>w)>w)) | ((w&w)&w) | 0 | 1 | 1 | 1 | not entailment |
(w&w) | ((w|w)&((w|w)>(~(w)|w))) | 1 | 0 | 1 | 0 | entailment |
~(((w|(w&(w&w)))|(w&((w&w)&((w>w)>w))))) | ~(((((w>w)&(w&((w&w)>w)))&(~(w)|w))|w)) | 1 | 1 | 1 | 1 | entailment |
(w&w) | ~(((((w>w)&(w&((w&w)>w)))&(~(w)|w))|w)) | 0 | 0 | 1 | 0 | not entailment |
~(((w|(w&(w&w)))|(w&((w&w)&((w>w)>w))))) | ((w|w)&((w|w)>(~(w)|w))) | 0 | 1 | 1 | 1 | not entailment |
(w&(~(~(w))|(w|~((w&w))))) | (w|w) | 1 | 1 | 1 | 1 | entailment |
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