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 |
|---|---|---|---|---|---|---|
(h&h) | (a>~(((a>e)&~(h)))) | 1 | 0 | 0 | 0 | entailment |
(a&(((a|(a>b))|h)>(~(~(((e>h)|e)))>b))) | ((e&h)>(b|a)) | 1 | 1 | 1 | 1 | entailment |
(h&h) | ((e&h)>(b|a)) | 0 | 0 | 0 | 0 | not entailment |
(a&(((a|(a>b))|h)>(~(~(((e>h)|e)))>b))) | (a>~(((a>e)&~(h)))) | 0 | 1 | 1 | 0 | not entailment |
(~(((a|a)|a))&(a|(~((h&e))&~(b)))) | ~(((h|((b&a)&h))&(e|b))) | 1 | 1 | 1 | 1 | entailment |
((e&b)&(b|b)) | (e|(h&e)) | 1 | 1 | 0 | 0 | entailment |
(~(((a|a)|a))&(a|(~((h&e))&~(b)))) | (e|(h&e)) | 0 | 1 | 1 | 0 | not entailment |
((e&b)&(b|b)) | ~(((h|((b&a)&h))&(e|b))) | 0 | 0 | 0 | 0 | not entailment |
~((e>(((e|a)>(e&h))&(a>h)))) | (((a|h)&e)|e) | 1 | 1 | 1 | 0 | entailment |
((~((~(h)|e))|~(~(~((a>a)))))&h) | (a|(h|h)) | 1 | 1 | 1 | 1 | entailment |
~((e>(((e|a)>(e&h))&(a>h)))) | (a|(h|h)) | 0 | 1 | 1 | 0 | not entailment |
((~((~(h)|e))|~(~(~((a>a)))))&h) | (((a|h)&e)|e) | 0 | 1 | 1 | 0 | not entailment |
(a&b) | (~((a>b))>(~((h&a))&((h|e)>b))) | 1 | 0 | 0 | 0 | entailment |
~(~(e)) | (~((h>b))|e) | 1 | 0 | 0 | 0 | entailment |
(a&b) | (~((h>b))|e) | 0 | 0 | 0 | 0 | not entailment |
~(~(e)) | (~((a>b))>(~((h&a))&((h|e)>b))) | 0 | 0 | 0 | 0 | not entailment |
((e&h)&a) | ((~((b&a))>(b>h))>((e&~(h))>(b|b))) | 1 | 0 | 0 | 0 | entailment |
(~(~(a))&(~(h)&((h|((e|h)|a))&~(b)))) | ~((e&(h&(a|((b>(h&a))|e))))) | 1 | 1 | 1 | 0 | entailment |
((e&h)&a) | ~((e&(h&(a|((b>(h&a))|e))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(a))&(~(h)&((h|((e|h)|a))&~(b)))) | ((~((b&a))>(b>h))>((e&~(h))>(b|b))) | 0 | 1 | 1 | 0 | not entailment |
(b&a) | ((e>e)>(a>b)) | 1 | 0 | 0 | 0 | entailment |
(~(((a>b)&(~(e)|e)))&(h>a)) | ((h&(a&a))>~(((((e|e)&(b>h))|(a&h))>b))) | 1 | 0 | 1 | 0 | entailment |
(b&a) | ((h&(a&a))>~(((((e|e)&(b>h))|(a&h))>b))) | 0 | 0 | 0 | 0 | not entailment |
(~(((a>b)&(~(e)|e)))&(h>a)) | ((e>e)>(a>b)) | 0 | 1 | 1 | 0 | not entailment |
((a|e)&b) | (((e>h)&a)|((e>(e>e))&e)) | 1 | 0 | 0 | 0 | entailment |
(((a&b)|b)&h) | ((h&(e|h))|~((((e|a)|e)|b))) | 1 | 0 | 0 | 0 | entailment |
((a|e)&b) | ((h&(e|h))|~((((e|a)|e)|b))) | 0 | 0 | 0 | 0 | not entailment |
(((a&b)|b)&h) | (((e>h)&a)|((e>(e>e))&e)) | 0 | 0 | 0 | 0 | not entailment |
((e|e)&~(((e&a)|h))) | ((h|(h&e))|(~((~((a|a))>h))|~((h|a)))) | 1 | 0 | 1 | 0 | entailment |
(a&(b&(h|a))) | (b|a) | 1 | 1 | 1 | 1 | entailment |
((e|e)&~(((e&a)|h))) | (b|a) | 0 | 1 | 0 | 0 | not entailment |
(a&(b&(h|a))) | ((h|(h&e))|(~((~((a|a))>h))|~((h|a)))) | 0 | 0 | 0 | 0 | not entailment |
(h&a) | (~((e|a))|((e>(h&e))>a)) | 1 | 0 | 0 | 0 | entailment |
(~(~((((~(a)>e)>(e|a))>(e&h))))&(h|h)) | (~((~((a>h))&~(b)))>(h>((b&b)|e))) | 1 | 1 | 0 | 0 | entailment |
(h&a) | (~((~((a>h))&~(b)))>(h>((b&b)|e))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((((~(a)>e)>(e|a))>(e&h))))&(h|h)) | (~((e|a))|((e>(h&e))>a)) | 0 | 1 | 1 | 0 | not entailment |
(((b|b)>(b>e))&(a&(~(b)|b))) | ((e>(e&h))>(a|(b&(h>((b>h)>h))))) | 1 | 0 | 0 | 0 | entailment |
~(e) | (((a>h)&(h&e))>(~(h)&(h&h))) | 1 | 0 | 0 | 0 | entailment |
(((b|b)>(b>e))&(a&(~(b)|b))) | (((a>h)&(h&e))>(~(h)&(h&h))) | 0 | 1 | 0 | 0 | not entailment |
~(e) | ((e>(e&h))>(a|(b&(h>((b>h)>h))))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(~(((h>~(s))&(g|d)))))|~(v))) | ((s|(w&v))>(h>v)) | 1 | 1 | 0 | 0 | entailment |
~(((w|w)>(~(d)&w))) | (w>d) | 1 | 1 | 1 | 1 | entailment |
~((~(~(~(((h>~(s))&(g|d)))))|~(v))) | (w>d) | 0 | 1 | 0 | 0 | not entailment |
~(((w|w)>(~(d)&w))) | ((s|(w&v))>(h>v)) | 0 | 1 | 0 | 0 | not entailment |
(~(~(v))>~(((v&v)|s))) | (((g&d)|s)|(((g&v)|s)>((s|d)|~(h)))) | 1 | 0 | 0 | 0 | entailment |
(h&w) | ~(~(((g>g)&((w>~(w))>(w|d))))) | 1 | 0 | 0 | 0 | entailment |
(~(~(v))>~(((v&v)|s))) | ~(~(((g>g)&((w>~(w))>(w|d))))) | 0 | 0 | 0 | 0 | not entailment |
(h&w) | (((g&d)|s)|(((g&v)|s)>((s|d)|~(h)))) | 0 | 0 | 0 | 0 | not entailment |
(~((v>g))&d) | (d&(d|s)) | 1 | 1 | 0 | 0 | entailment |
(h&~(~(((w&g)&(d|g))))) | (~(w)|(~(((h&g)|s))>(~(~(h))&(g>w)))) | 1 | 0 | 0 | 0 | entailment |
(~((v>g))&d) | (~(w)|(~(((h&g)|s))>(~(~(h))&(g>w)))) | 0 | 0 | 0 | 0 | not entailment |
(h&~(~(((w&g)&(d|g))))) | (d&(d|s)) | 0 | 1 | 0 | 0 | not entailment |
((v&(v&g))&(h>(~(g)&d))) | ((~((h|d))>(v&((g|d)&v)))&((h>h)|(d&s))) | 1 | 0 | 0 | 0 | entailment |
((~(g)>(h>(d|d)))&~((v>(s&((w|s)|w))))) | (s>(g>(w&d))) | 1 | 1 | 1 | 0 | entailment |
((v&(v&g))&(h>(~(g)&d))) | (s>(g>(w&d))) | 0 | 1 | 0 | 0 | not entailment |
((~(g)>(h>(d|d)))&~((v>(s&((w|s)|w))))) | ((~((h|d))>(v&((g|d)&v)))&((h>h)|(d&s))) | 0 | 1 | 1 | 0 | not entailment |
~((g>((v&(s>w))|~((d&v))))) | (w>h) | 1 | 1 | 0 | 0 | entailment |
~(s) | ~(((((v>d)&s)&(s|g))&(v&d))) | 1 | 0 | 0 | 0 | entailment |
~((g>((v&(s>w))|~((d&v))))) | ~(((((v>d)&s)&(s|g))&(v&d))) | 0 | 1 | 1 | 0 | not entailment |
~(s) | (w>h) | 0 | 1 | 0 | 0 | not entailment |
~(((w&(((g>h)|d)|g))>((v&s)>(v>g)))) | ~((~(v)&s)) | 1 | 1 | 1 | 0 | entailment |
((w&h)|(~(v)&((d|w)|((d>d)>s)))) | (v>(g|h)) | 1 | 1 | 0 | 0 | entailment |
~(((w&(((g>h)|d)|g))>((v&s)>(v>g)))) | (v>(g|h)) | 0 | 1 | 1 | 0 | not entailment |
((w&h)|(~(v)&((d|w)|((d>d)>s)))) | ~((~(v)&s)) | 0 | 1 | 1 | 0 | not entailment |
(~(s)&g) | (~(~(~((~(((g&g)|v))|g))))>(h>~(s))) | 1 | 0 | 0 | 0 | entailment |
~(~(d)) | (w>((s>g)>d)) | 1 | 0 | 0 | 0 | entailment |
(~(s)&g) | (w>((s>g)>d)) | 0 | 0 | 0 | 0 | not entailment |
~(~(d)) | (~(~(~((~(((g&g)|v))|g))))>(h>~(s))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(((s|d)|w))>(v>h))&(d>h))) | ((s>(~(w)>(d|w)))|(h&g)) | 1 | 1 | 0 | 0 | entailment |
((~((w|v))&(h|(d|(g|w))))&~((g|g))) | ~((((d>((h>v)>(v>v)))>(h>v))&g)) | 1 | 1 | 1 | 0 | entailment |
~(((~(((s|d)|w))>(v>h))&(d>h))) | ~((((d>((h>v)>(v>v)))>(h>v))&g)) | 0 | 1 | 0 | 0 | not entailment |
((~((w|v))&(h|(d|(g|w))))&~((g|g))) | ((s>(~(w)>(d|w)))|(h&g)) | 0 | 1 | 0 | 0 | not entailment |
((w|~((g>(g&~(s)))))&~((w>(v|d)))) | (w|(h&(v|d))) | 1 | 1 | 0 | 0 | entailment |
(h&h) | (h|~(s)) | 1 | 0 | 0 | 0 | entailment |
((w|~((g>(g&~(s)))))&~((w>(v|d)))) | (h|~(s)) | 0 | 1 | 0 | 0 | not entailment |
(h&h) | (w|(h&(v|d))) | 0 | 0 | 0 | 0 | not entailment |
(s&d) | (((h|v)&h)>(h&d)) | 1 | 0 | 0 | 0 | entailment |
~((~((s&w))|v)) | ((s&h)|((h|((v&v)>w))|(h|h))) | 1 | 0 | 0 | 0 | entailment |
(s&d) | ((s&h)|((h|((v&v)>w))|(h|h))) | 0 | 0 | 0 | 0 | not entailment |
~((~((s&w))|v)) | (((h|v)&h)>(h&d)) | 0 | 1 | 0 | 0 | not entailment |
~(~((g&(v&v)))) | (v|((~((s|h))|(h>(g|(d&h))))&(w|v))) | 1 | 0 | 0 | 0 | entailment |
~((h>~(s))) | ((h>w)|s) | 1 | 1 | 0 | 0 | entailment |
~(~((g&(v&v)))) | ((h>w)|s) | 0 | 1 | 0 | 0 | not entailment |
~((h>~(s))) | (v|((~((s|h))|(h>(g|(d&h))))&(w|v))) | 0 | 0 | 0 | 0 | not entailment |
~((((h&(w|w))|~(h))>((w>h)>(h|(v>s))))) | ~((s&(~(v)|g))) | 1 | 1 | 0 | 0 | entailment |
(~(~(w))&v) | (((g|d)>v)>(v&(v&(s|w)))) | 1 | 0 | 0 | 0 | entailment |
~((((h&(w|w))|~(h))>((w>h)>(h|(v>s))))) | (((g|d)>v)>(v&(v&(s|w)))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(w))&v) | ~((s&(~(v)|g))) | 0 | 0 | 0 | 0 | not entailment |
~(((v&h)>(v&(v&g)))) | (h&v) | 1 | 1 | 1 | 1 | entailment |
(h&~((~(v)>v))) | (~(((~((v&h))&h)&h))>~(s)) | 1 | 0 | 0 | 0 | entailment |
~(((v&h)>(v&(v&g)))) | (~(((~((v&h))&h)&h))>~(s)) | 0 | 0 | 0 | 0 | not entailment |
(h&~((~(v)>v))) | (h&v) | 0 | 1 | 1 | 0 | not entailment |
((~(~(((u&b)|p)))>(p|u))>~((b|~(z)))) | (((~(b)|p)|(z&(p&u)))|z) | 1 | 1 | 1 | 1 | entailment |
~((((m|m)&(m>z))|w)) | ((w>m)|((u|u)&(z&w))) | 1 | 1 | 0 | 0 | entailment |
((~(~(((u&b)|p)))>(p|u))>~((b|~(z)))) | ((w>m)|((u|u)&(z&w))) | 0 | 1 | 0 | 0 | not entailment |
~((((m|m)&(m>z))|w)) | (((~(b)|p)|(z&(p&u)))|z) | 0 | 0 | 0 | 0 | not entailment |
~((m>(b|p))) | ((p>m)|u) | 1 | 1 | 0 | 0 | entailment |
(z&b) | (w|((b|u)|p)) | 1 | 0 | 0 | 0 | entailment |
~((m>(b|p))) | (w|((b|u)|p)) | 0 | 1 | 0 | 0 | not entailment |
(z&b) | ((p>m)|u) | 0 | 0 | 0 | 0 | not entailment |
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