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 |
|---|---|---|---|---|---|---|
((d|s)&~((d|((p&(s|(h>s)))>(s>(p&l)))))) | (c>~((h|d))) | 0 | 1 | 0 | 0 | not entailment |
~(((((h|p)>l)|(d>d))&c)) | (s|d) | 0 | 1 | 0 | 0 | not entailment |
(~(d)&(((l&h)>~(c))>~(s))) | (d>(h|(p>~(c)))) | 1 | 1 | 0 | 0 | entailment |
(c&(((l|~(h))>(s|h))>(((c&s)>(p|l))|d))) | (d|(c&c)) | 1 | 1 | 1 | 1 | entailment |
(~(d)&(((l&h)>~(c))>~(s))) | (d|(c&c)) | 0 | 1 | 1 | 0 | not entailment |
(c&(((l|~(h))>(s|h))>(((c&s)>(p|l))|d))) | (d>(h|(p>~(c)))) | 0 | 1 | 1 | 0 | not entailment |
~(((d|p)|((~(~(d))>h)&(s>(h|d))))) | ~((l&d)) | 1 | 1 | 0 | 0 | entailment |
((~((p|l))>(p>(h&~(l))))&(p&d)) | (p|((d>~(d))>((p|c)|(~(h)>p)))) | 1 | 1 | 0 | 0 | entailment |
~(((d|p)|((~(~(d))>h)&(s>(h|d))))) | (p|((d>~(d))>((p|c)|(~(h)>p)))) | 0 | 1 | 0 | 0 | not entailment |
((~((p|l))>(p>(h&~(l))))&(p&d)) | ~((l&d)) | 0 | 1 | 1 | 0 | not entailment |
(s>~((c|l))) | ((~((~(~(~(c)))&s))|(c&s))>~((s&s))) | 1 | 0 | 1 | 0 | entailment |
~(~(((h&p)&((~(d)&(s|l))>~(h))))) | ((~(~(((s|p)&(l>(d>p)))))>h)>(l>h)) | 1 | 1 | 1 | 0 | entailment |
(s>~((c|l))) | ((~(~(((s|p)&(l>(d>p)))))>h)>(l>h)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((h&p)&((~(d)&(s|l))>~(h))))) | ((~((~(~(~(c)))&s))|(c&s))>~((s&s))) | 0 | 0 | 0 | 0 | not entailment |
~((~(((p>(l>s))&s))|c)) | (c>~(~((l&(~((l>d))>(~(l)|s)))))) | 1 | 0 | 0 | 0 | entailment |
(p|~((~(~((l>h)))|~((c&((l>c)&s)))))) | (((c|p)|~(~(p)))|~(((p|s)>~(p)))) | 1 | 1 | 1 | 1 | entailment |
~((~(((p>(l>s))&s))|c)) | (((c|p)|~(~(p)))|~(((p|s)>~(p)))) | 0 | 0 | 1 | 0 | not entailment |
(p|~((~(~((l>h)))|~((c&((l>c)&s)))))) | (c>~(~((l&(~((l>d))>(~(l)|s)))))) | 0 | 1 | 0 | 0 | not entailment |
~(((((h>l)|d)>~((d|h)))>c)) | ((c|d)>~(~((l>(c&h))))) | 1 | 1 | 1 | 0 | entailment |
((p&(~(h)>~((c>((s|h)&d)))))&(c&c)) | ((~(((c|d)|(d>h)))|(p&c))|~(~(h))) | 1 | 1 | 1 | 0 | entailment |
~(((((h>l)|d)>~((d|h)))>c)) | ((~(((c|d)|(d>h)))|(p&c))|~(~(h))) | 0 | 0 | 0 | 0 | not entailment |
((p&(~(h)>~((c>((s|h)&d)))))&(c&c)) | ((c|d)>~(~((l>(c&h))))) | 0 | 1 | 0 | 0 | not entailment |
(~(((h&~(~((p>h))))&~(((l&s)|p))))&c) | (~(c)>(h|l)) | 1 | 1 | 1 | 0 | entailment |
(s&p) | (~((s|c))|((s&((p|p)&p))|(d>h))) | 1 | 0 | 0 | 0 | entailment |
(~(((h&~(~((p>h))))&~(((l&s)|p))))&c) | (~((s|c))|((s&((p|p)&p))|(d>h))) | 0 | 1 | 0 | 0 | not entailment |
(s&p) | (~(c)>(h|l)) | 0 | 0 | 0 | 0 | not entailment |
(~(s)&(c&l)) | ~(~(((p|(l>s))>~((~(l)&d))))) | 1 | 0 | 0 | 0 | entailment |
~((p|(h>p))) | ~((c&((p&d)&c))) | 1 | 0 | 0 | 0 | entailment |
(~(s)&(c&l)) | ~((c&((p&d)&c))) | 0 | 0 | 0 | 0 | not entailment |
~((p|(h>p))) | ~(~(((p|(l>s))>~((~(l)&d))))) | 0 | 0 | 0 | 0 | not entailment |
~(((s>s)>(c|h))) | ~((h&s)) | 1 | 1 | 1 | 1 | entailment |
~((d|~((s&(p&h))))) | (s|~(l)) | 1 | 1 | 0 | 0 | entailment |
~(((s>s)>(c|h))) | (s|~(l)) | 0 | 1 | 0 | 0 | not entailment |
~((d|~((s&(p&h))))) | ~((h&s)) | 0 | 1 | 1 | 0 | not entailment |
((l|d)>~(((~(p)|s)|((c|(s|p))&(l|d))))) | ((((l|(p&c))>h)|(d>l))&(s|(h>h))) | 1 | 1 | 0 | 0 | entailment |
~((p>h)) | (~(~(~((d&~(((d|h)&(s|~(d))))))))>p) | 1 | 0 | 0 | 0 | entailment |
((l|d)>~(((~(p)|s)|((c|(s|p))&(l|d))))) | (~(~(~((d&~(((d|h)&(s|~(d))))))))>p) | 0 | 1 | 0 | 0 | not entailment |
~((p>h)) | ((((l|(p&c))>h)|(d>l))&(s|(h>h))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((~(l)>((c>d)>c))))) | ((s&(l|(h|h)))>(c>p)) | 1 | 1 | 0 | 0 | entailment |
((~(~(h))&(l>l))|d) | ((~((d|h))>d)|(s>((c|d)|~(s)))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((~(l)>((c>d)>c))))) | ((~((d|h))>d)|(s>((c|d)|~(s)))) | 0 | 0 | 0 | 0 | not entailment |
((~(~(h))&(l>l))|d) | ((s&(l|(h|h)))>(c>p)) | 0 | 1 | 0 | 0 | not entailment |
((g&h)&h) | (v>h) | 1 | 1 | 0 | 0 | entailment |
~(~(v)) | (i>(v&((e|w)>v))) | 1 | 0 | 0 | 0 | entailment |
((g&h)&h) | (i>(v&((e|w)>v))) | 0 | 0 | 0 | 0 | not entailment |
~(~(v)) | (v>h) | 0 | 1 | 0 | 0 | not entailment |
((h>y)>h) | (h|e) | 1 | 1 | 0 | 0 | entailment |
(((w|~(w))&w)&(i|((~((w|w))>g)&(v>g)))) | ((v|(h>h))&(g>w)) | 1 | 1 | 0 | 0 | entailment |
((h>y)>h) | ((v|(h>h))&(g>w)) | 0 | 0 | 0 | 0 | not entailment |
(((w|~(w))&w)&(i|((~((w|w))>g)&(v>g)))) | (h|e) | 0 | 1 | 0 | 0 | not entailment |
(h&(y|~(~((((w>i)|e)>y))))) | (~((((((w|e)>v)|h)&i)|~(w)))|(w|(i|h))) | 1 | 0 | 0 | 0 | entailment |
(~(v)>~((v>y))) | ((((i&w)&(w>h))>(h|((y&i)|(w|y))))&(w|v)) | 1 | 0 | 0 | 0 | entailment |
(h&(y|~(~((((w>i)|e)>y))))) | ((((i&w)&(w>h))>(h|((y&i)|(w|y))))&(w|v)) | 0 | 0 | 0 | 0 | not entailment |
(~(v)>~((v>y))) | (~((((((w|e)>v)|h)&i)|~(w)))|(w|(i|h))) | 0 | 0 | 0 | 0 | not entailment |
(v>g) | ((v>~(h))|((g|i)|((g>i)>e))) | 1 | 0 | 0 | 0 | entailment |
((v|(v|e))&(((y&h)|~((v|e)))&~(g))) | (~((g&((y>e)|v)))|(e&~((y&(v>w))))) | 1 | 1 | 0 | 0 | entailment |
(v>g) | (~((g&((y>e)|v)))|(e&~((y&(v>w))))) | 0 | 0 | 0 | 0 | not entailment |
((v|(v|e))&(((y&h)|~((v|e)))&~(g))) | ((v>~(h))|((g|i)|((g>i)>e))) | 0 | 1 | 0 | 0 | not entailment |
(e&h) | (~(e)>e) | 1 | 0 | 1 | 1 | entailment |
(~(h)&g) | ~(~(~(~(g)))) | 1 | 0 | 1 | 1 | entailment |
(e&h) | ~(~(~(~(g)))) | 0 | 0 | 0 | 0 | not entailment |
(~(h)&g) | (~(e)>e) | 0 | 1 | 0 | 0 | not entailment |
~((((v&i)&(((w>y)&y)&e))>w)) | ((((g|w)|(i|w))&e)|((v|(y&i))>w)) | 1 | 0 | 0 | 0 | entailment |
(g&((i>e)>h)) | (h>(y>g)) | 1 | 1 | 0 | 0 | entailment |
~((((v&i)&(((w>y)&y)&e))>w)) | (h>(y>g)) | 0 | 1 | 0 | 0 | not entailment |
(g&((i>e)>h)) | ((((g|w)|(i|w))&e)|((v|(y&i))>w)) | 0 | 0 | 0 | 0 | not entailment |
((((g|i)&h)|(~((e&h))>(v>w)))&(~(w)&g)) | (((y|g)|h)>(w>e)) | 1 | 1 | 0 | 0 | entailment |
(w&((~(g)>((v&~((i&i)))|e))&y)) | (~(~((i|w)))|~(((~(i)|v)|((h&e)>g)))) | 1 | 0 | 0 | 0 | entailment |
((((g|i)&h)|(~((e&h))>(v>w)))&(~(w)&g)) | (~(~((i|w)))|~(((~(i)|v)|((h&e)>g)))) | 0 | 1 | 1 | 0 | not entailment |
(w&((~(g)>((v&~((i&i)))|e))&y)) | (((y|g)|h)>(w>e)) | 0 | 1 | 0 | 0 | not entailment |
~(((e&i)>(e&y))) | (((y&w)>(y|((~(y)>g)&(i|(y>v)))))&(i|i)) | 1 | 0 | 0 | 0 | entailment |
(y&(~((~(e)&(h&g)))&(((e|y)>(w&w))|g))) | (~((g|(h|w)))>y) | 1 | 1 | 1 | 0 | entailment |
~(((e&i)>(e&y))) | (~((g|(h|w)))>y) | 0 | 1 | 0 | 0 | not entailment |
(y&(~((~(e)&(h&g)))&(((e|y)>(w&w))|g))) | (((y&w)>(y|((~(y)>g)&(i|(y>v)))))&(i|i)) | 0 | 1 | 0 | 0 | not entailment |
~((v|(h&(h|v)))) | (((v&(y&g))&w)>e) | 1 | 1 | 0 | 0 | entailment |
(y&~((~((w|h))|~((h&h))))) | (~(((e|w)|((w|y)|g)))|(((h|h)|g)|e)) | 1 | 0 | 0 | 0 | entailment |
~((v|(h&(h|v)))) | (~(((e|w)|((w|y)|g)))|(((h|h)|g)|e)) | 0 | 0 | 0 | 0 | not entailment |
(y&~((~((w|h))|~((h&h))))) | (((v&(y&g))&w)>e) | 0 | 1 | 0 | 0 | not entailment |
((h&i)&~(~((v&e)))) | (y>e) | 1 | 1 | 0 | 0 | entailment |
(((g>h)>(((h&~(e))>h)>~(w)))&(g>h)) | ((e&w)>~(((e|e)&(y>h)))) | 1 | 1 | 0 | 0 | entailment |
((h&i)&~(~((v&e)))) | ((e&w)>~(((e|e)&(y>h)))) | 0 | 0 | 0 | 0 | not entailment |
(((g>h)>(((h&~(e))>h)>~(w)))&(g>h)) | (y>e) | 0 | 1 | 0 | 0 | not entailment |
((w&w)&v) | ((~(w)&(i|(i|y)))>h) | 1 | 0 | 0 | 0 | entailment |
~(((~((y>h))>~(i))|(v>g))) | (((((i|i)&e)&~(w))|g)>(h>e)) | 1 | 1 | 0 | 0 | entailment |
((w&w)&v) | (((((i|i)&e)&~(w))|g)>(h>e)) | 0 | 0 | 0 | 0 | not entailment |
~(((~((y>h))>~(i))|(v>g))) | ((~(w)&(i|(i|y)))>h) | 0 | 1 | 0 | 0 | not entailment |
((((e>(e|y))>~(v))&(w&g))&(v|g)) | ((v>h)>(i|g)) | 1 | 1 | 0 | 0 | entailment |
(~(w)&y) | (y|(e&(g|h))) | 1 | 0 | 0 | 0 | entailment |
((((e>(e|y))>~(v))&(w&g))&(v|g)) | (y|(e&(g|h))) | 0 | 1 | 0 | 0 | not entailment |
(~(w)&y) | ((v>h)>(i|g)) | 0 | 0 | 0 | 0 | not entailment |
~(v) | ~((((g|i)&w)&v)) | 1 | 0 | 0 | 0 | entailment |
(((e|g)>i)&w) | (((h&g)>g)&((w|i)|(y&e))) | 1 | 0 | 0 | 0 | entailment |
~(v) | (((h&g)>g)&((w|i)|(y&e))) | 0 | 0 | 0 | 0 | not entailment |
(((e|g)>i)&w) | ~((((g|i)&w)&v)) | 0 | 0 | 0 | 0 | not entailment |
((y|~((e|~(v))))&(y&(i&h))) | (((y|w)|~((v&(e|v))))|(i&(~(e)|(v|v)))) | 1 | 0 | 0 | 0 | entailment |
~(w) | ~(((w&h)&((e|v)>e))) | 1 | 0 | 0 | 0 | entailment |
((y|~((e|~(v))))&(y&(i&h))) | ~(((w&h)&((e|v)>e))) | 0 | 1 | 0 | 0 | not entailment |
~(w) | (((y|w)|~((v&(e|v))))|(i&(~(e)|(v|v)))) | 0 | 0 | 0 | 0 | not entailment |
(g&~(~(e))) | (y|e) | 1 | 1 | 0 | 0 | entailment |
(w&i) | (i|~(~((y>(g>(h&i)))))) | 1 | 0 | 0 | 0 | entailment |
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