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 |
|---|---|---|---|---|---|---|
(i&(w|~(i))) | ((h>(i&(~((k>(j>j)))&j)))|((w|h)>u)) | 0 | 0 | 0 | 0 | not entailment |
((~(~(k))>w)&u) | ~(~(i)) | 0 | 1 | 0 | 0 | not entailment |
(~(((k&((j>u)&~(k)))>h))|k) | (i>(k|w)) | 1 | 1 | 0 | 0 | entailment |
(i|(i&u)) | (i|(u&h)) | 1 | 1 | 0 | 0 | entailment |
(~(((k&((j>u)&~(k)))>h))|k) | (i|(u&h)) | 0 | 1 | 0 | 0 | not entailment |
(i|(i&u)) | (i>(k|w)) | 0 | 1 | 0 | 0 | not entailment |
~(((~((e>r))&r)|(v>e))) | (~(~(o))|(e>l)) | 1 | 1 | 0 | 0 | entailment |
(v&e) | (n|(e|e)) | 1 | 0 | 0 | 0 | entailment |
~(((~((e>r))&r)|(v>e))) | (n|(e|e)) | 0 | 1 | 0 | 0 | not entailment |
(v&e) | (~(~(o))|(e>l)) | 0 | 0 | 0 | 0 | not entailment |
(~((~(((e&l)>~((g>r))))&(r|h)))&g) | (((~(e)>r)|g)|~((o&((e>(l>v))|l)))) | 1 | 1 | 0 | 0 | entailment |
~((v>((g|v)>l))) | ~(~(~(~(((v|(g&h))|(g&(e>(h&r)))))))) | 1 | 0 | 0 | 0 | entailment |
(~((~(((e&l)>~((g>r))))&(r|h)))&g) | ~(~(~(~(((v|(g&h))|(g&(e>(h&r)))))))) | 0 | 0 | 0 | 0 | not entailment |
~((v>((g|v)>l))) | (((~(e)>r)|g)|~((o&((e>(l>v))|l)))) | 0 | 0 | 0 | 0 | not entailment |
~(((r|l)|~((~(((r>(e>e))&h))&g)))) | (r>v) | 1 | 1 | 0 | 0 | entailment |
(((v&v)|r)|(~(e)&r)) | (r|v) | 1 | 1 | 1 | 1 | entailment |
~(((r|l)|~((~(((r>(e>e))&h))&g)))) | (r|v) | 0 | 1 | 0 | 0 | not entailment |
(((v&v)|r)|(~(e)&r)) | (r>v) | 0 | 1 | 1 | 0 | not entailment |
(r&((n>(g>n))>(v|l))) | (e|r) | 1 | 1 | 0 | 0 | entailment |
~((~((l|v))|(~(g)|~(h)))) | ((n>(o&h))|(~(h)>l)) | 1 | 1 | 0 | 0 | entailment |
(r&((n>(g>n))>(v|l))) | ((n>(o&h))|(~(h)>l)) | 0 | 1 | 0 | 0 | not entailment |
~((~((l|v))|(~(g)|~(h)))) | (e|r) | 0 | 1 | 0 | 0 | not entailment |
(~(~((((o>(r&v))>v)>(r>v))))&((r&v)&h)) | ~(~(~((h>(l&~(r)))))) | 1 | 1 | 0 | 0 | entailment |
(g&e) | (e&(~(~((r>(o|r))))>e)) | 1 | 0 | 0 | 0 | entailment |
(~(~((((o>(r&v))>v)>(r>v))))&((r&v)&h)) | (e&(~(~((r>(o|r))))>e)) | 0 | 1 | 0 | 0 | not entailment |
(g&e) | ~(~(~((h>(l&~(r)))))) | 0 | 0 | 0 | 0 | not entailment |
(e&~(((~(r)>h)&(v>r)))) | (v|e) | 1 | 1 | 1 | 1 | entailment |
((o>e)>(v&((l|g)|o))) | (((e>o)|~(~((l|g))))|(r&o)) | 1 | 0 | 0 | 0 | entailment |
(e&~(((~(r)>h)&(v>r)))) | (((e>o)|~(~((l|g))))|(r&o)) | 0 | 0 | 0 | 0 | not entailment |
((o>e)>(v&((l|g)|o))) | (v|e) | 0 | 1 | 1 | 0 | not entailment |
(n&~(((l|r)&(o&h)))) | (n|e) | 1 | 1 | 0 | 0 | entailment |
((h&((n>v)|~(~(o))))&~((g&((l|n)&o)))) | ~((h>~(h))) | 1 | 1 | 1 | 1 | entailment |
(n&~(((l|r)&(o&h)))) | ~((h>~(h))) | 0 | 1 | 1 | 0 | not entailment |
((h&((n>v)|~(~(o))))&~((g&((l|n)&o)))) | (n|e) | 0 | 1 | 0 | 0 | not entailment |
(((g|~(v))|(((v&g)>g)&v))>~(((r|o)|h))) | (((r|v)>o)|((l|~((g|v)))|(v&~(h)))) | 1 | 1 | 0 | 0 | entailment |
~((r>h)) | (e>(~(n)>r)) | 1 | 0 | 0 | 0 | entailment |
(((g|~(v))|(((v&g)>g)&v))>~(((r|o)|h))) | (e>(~(n)>r)) | 0 | 1 | 0 | 0 | not entailment |
~((r>h)) | (((r|v)>o)|((l|~((g|v)))|(v&~(h)))) | 0 | 0 | 0 | 0 | not entailment |
~(((l|g)|(r|r))) | ~(r) | 1 | 1 | 1 | 1 | entailment |
~(((~(((h|n)>r))&h)|(v>o))) | (o>~(((h>g)>(r>h)))) | 1 | 1 | 0 | 0 | entailment |
~(((l|g)|(r|r))) | (o>~(((h>g)>(r>h)))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(((h|n)>r))&h)|(v>o))) | ~(r) | 0 | 1 | 1 | 0 | not entailment |
(((g|~(o))&((n>e)&r))&g) | (((n&(n|r))|((g>l)>g))|((r|r)&~((n&v)))) | 1 | 0 | 0 | 0 | entailment |
~(((r|h)|(l&((l|~(o))|v)))) | ~((h&(g&(r>l)))) | 1 | 1 | 0 | 0 | entailment |
(((g|~(o))&((n>e)&r))&g) | ~((h&(g&(r>l)))) | 0 | 1 | 0 | 0 | not entailment |
~(((r|h)|(l&((l|~(o))|v)))) | (((n&(n|r))|((g>l)>g))|((r|r)&~((n&v)))) | 0 | 0 | 0 | 0 | not entailment |
~((e>(e&h))) | (r|(e|~(~(((g>l)|((g|l)&o)))))) | 1 | 0 | 0 | 0 | entailment |
(g|((g&h)&~(((~(r)&(g|g))&((o&v)>e))))) | (g|(((l|o)|o)&g)) | 1 | 1 | 0 | 0 | entailment |
~((e>(e&h))) | (g|(((l|o)|o)&g)) | 0 | 0 | 0 | 0 | not entailment |
(g|((g&h)&~(((~(r)&(g|g))&((o&v)>e))))) | (r|(e|~(~(((g>l)|((g|l)&o)))))) | 0 | 1 | 0 | 0 | not entailment |
((o|(e|v))&(o|e)) | (((e|~(h))|o)|(g|(g&h))) | 1 | 0 | 0 | 0 | entailment |
~((((g>~(r))&(h|(~(g)>n)))>(v|l))) | (((l&g)>e)|(r|((v|n)&l))) | 1 | 1 | 0 | 0 | entailment |
((o|(e|v))&(o|e)) | (((l&g)>e)|(r|((v|n)&l))) | 0 | 0 | 0 | 0 | not entailment |
~((((g>~(r))&(h|(~(g)>n)))>(v|l))) | (((e|~(h))|o)|(g|(g&h))) | 0 | 1 | 0 | 0 | not entailment |
(((e&l)&o)&(~((r&l))|((n>l)>~(g)))) | ~((g&r)) | 1 | 1 | 1 | 1 | entailment |
~((((o|(g>e))>g)>(n&(r|n)))) | (~(n)|((~(v)&(e>(o>o)))|~(n))) | 1 | 0 | 0 | 0 | entailment |
(((e&l)&o)&(~((r&l))|((n>l)>~(g)))) | (~(n)|((~(v)&(e>(o>o)))|~(n))) | 0 | 1 | 0 | 0 | not entailment |
~((((o|(g>e))>g)>(n&(r|n)))) | ~((g&r)) | 0 | 1 | 1 | 0 | not entailment |
(~(~(((e|e)&o)))&(~(n)|(~(o)>l))) | (~(((v>v)&g))|(((h|h)&g)>(g&o))) | 1 | 1 | 0 | 0 | entailment |
((l&r)&(e|(~(v)>(g>n)))) | ((n>r)&((e|l)&(h|r))) | 1 | 1 | 0 | 0 | entailment |
(~(~(((e|e)&o)))&(~(n)|(~(o)>l))) | ((n>r)&((e|l)&(h|r))) | 0 | 1 | 0 | 0 | not entailment |
((l&r)&(e|(~(v)>(g>n)))) | (~(((v>v)&g))|(((h|h)&g)>(g&o))) | 0 | 0 | 0 | 0 | not entailment |
~(((o&g)>(h&~(h)))) | (g|n) | 1 | 1 | 0 | 0 | entailment |
(v&~(~((g|r)))) | (((n>n)>~(v))>e) | 1 | 1 | 0 | 0 | entailment |
~(((o&g)>(h&~(h)))) | (((n>n)>~(v))>e) | 0 | 1 | 0 | 0 | not entailment |
(v&~(~((g|r)))) | (g|n) | 0 | 1 | 0 | 0 | not entailment |
(e&((~((v|g))|r)|h)) | ~(~((l|~(~((o|(e|((e|g)&h)))))))) | 1 | 0 | 0 | 0 | entailment |
(((e&~(e))|~((v>g)))&h) | ((~(~(((g>~(h))&(g>v))))>(e>(l|l)))|h) | 1 | 0 | 0 | 0 | entailment |
(e&((~((v|g))|r)|h)) | ((~(~(((g>~(h))&(g>v))))>(e>(l|l)))|h) | 0 | 0 | 0 | 0 | not entailment |
(((e&~(e))|~((v>g)))&h) | ~(~((l|~(~((o|(e|((e|g)&h)))))))) | 0 | 0 | 0 | 0 | not entailment |
(e&((g>e)>~(n))) | (((l>(r>r))|(l|(v|o)))&e) | 1 | 0 | 0 | 0 | entailment |
((r>h)>((r|v)&((h&o)&(r&h)))) | (r|r) | 1 | 1 | 1 | 1 | entailment |
(e&((g>e)>~(n))) | (r|r) | 0 | 1 | 0 | 0 | not entailment |
((r>h)>((r|v)&((h&o)&(r&h)))) | (((l>(r>r))|(l|(v|o)))&e) | 0 | 1 | 0 | 0 | not entailment |
~(((l>l)&~(e))) | (h|e) | 1 | 1 | 0 | 0 | entailment |
((m&w)&(o|u)) | (m|~((((m&e)&l)|u))) | 1 | 0 | 0 | 0 | entailment |
~(((l>l)&~(e))) | (m|~((((m&e)&l)|u))) | 0 | 0 | 0 | 0 | not entailment |
((m&w)&(o|u)) | (h|e) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(~((h&(u&(w>x))))))) | ((((x|(m>l))&~(~(x)))&(h|e))|u) | 1 | 0 | 0 | 0 | entailment |
~((o>x)) | (u>o) | 1 | 1 | 0 | 0 | entailment |
~(~(~(~((h&(u&(w>x))))))) | (u>o) | 0 | 1 | 0 | 0 | not entailment |
~((o>x)) | ((((x|(m>l))&~(~(x)))&(h|e))|u) | 0 | 0 | 0 | 0 | not entailment |
((~(~(~(e)))&~((o>((m&e)|x))))&u) | ((o&~(x))|((o>(e>~(l)))&e)) | 1 | 1 | 0 | 0 | entailment |
(~((~(m)|l))|~((m|(l>~(m))))) | (m|(~(((x&e)>u))&(~(u)|(l|u)))) | 1 | 1 | 0 | 0 | entailment |
((~(~(~(e)))&~((o>((m&e)|x))))&u) | (m|(~(((x&e)>u))&(~(u)|(l|u)))) | 0 | 1 | 0 | 0 | not entailment |
(~((~(m)|l))|~((m|(l>~(m))))) | ((o&~(x))|((o>(e>~(l)))&e)) | 0 | 1 | 0 | 0 | not entailment |
~((~((l&o))&((e|~(l))|(~(l)&(e&e))))) | ((x&((m>m)|w))>((w|~(x))>l)) | 1 | 1 | 0 | 0 | entailment |
~((((o&h)>e)|((u&u)&~(l)))) | (~(e)|x) | 1 | 1 | 0 | 0 | entailment |
~((~((l&o))&((e|~(l))|(~(l)&(e&e))))) | (~(e)|x) | 0 | 1 | 0 | 0 | not entailment |
~((((o&h)>e)|((u&u)&~(l)))) | ((x&((m>m)|w))>((w|~(x))>l)) | 0 | 1 | 0 | 0 | not entailment |
~(((o&((u&(h>x))>l))>w)) | ((((u|(e>x))>x)&((x>h)>l))>(h|o)) | 1 | 0 | 0 | 0 | entailment |
(((~((w&m))|~(o))|w)&~((l>(w&m)))) | (((l|u)|e)>l) | 1 | 1 | 0 | 0 | entailment |
~(((o&((u&(h>x))>l))>w)) | (((l|u)|e)>l) | 0 | 1 | 0 | 0 | not entailment |
(((~((w&m))|~(o))|w)&~((l>(w&m)))) | ((((u|(e>x))>x)&((x>h)>l))>(h|o)) | 0 | 1 | 0 | 0 | not entailment |
~((l|e)) | ~((~((~(e)|(o|x)))&~((l|o)))) | 1 | 0 | 0 | 0 | entailment |
(((((e>h)|u)|(e&o))&w)|u) | ((o>o)&(~(u)>(w|(o|x)))) | 1 | 1 | 0 | 0 | entailment |
~((l|e)) | ((o>o)&(~(u)>(w|(o|x)))) | 0 | 0 | 0 | 0 | not entailment |
(((((e>h)|u)|(e&o))&w)|u) | ~((~((~(e)|(o|x)))&~((l|o)))) | 0 | 0 | 0 | 0 | not entailment |
~(((o>(w>w))&(~(h)|~((u&x))))) | ((u|h)>((x|l)|(u&(x>e)))) | 1 | 1 | 0 | 0 | entailment |
~(((u|(m|(e&o)))|o)) | (~((x>(w>l)))|(x>~(u))) | 1 | 0 | 0 | 0 | entailment |
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