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 |
|---|---|---|---|---|---|---|
~(j) | (~(j)|((a&a)|(v&e))) | 1 | 0 | 0 | 0 | entailment |
(((((m|o)|o)&((f|a)&b))&f)&f) | (~(j)|((a&a)|(v&e))) | 0 | 1 | 0 | 0 | not entailment |
~(j) | (~(~((e|m)))>(~(((s>j)|a))>((f|b)>f))) | 0 | 0 | 0 | 0 | not entailment |
((s&~((v|~(b))))&(a&j)) | (((e|e)>s)|(a>v)) | 1 | 1 | 0 | 0 | entailment |
((~(f)&((s&~(j))>v))&((v>a)&(m&j))) | ((((m&(f&~(v)))&s)>~(s))&(v|m)) | 1 | 1 | 1 | 0 | entailment |
((s&~((v|~(b))))&(a&j)) | ((((m&(f&~(v)))&s)>~(s))&(v|m)) | 0 | 0 | 0 | 0 | not entailment |
((~(f)&((s&~(j))>v))&((v>a)&(m&j))) | (((e|e)>s)|(a>v)) | 0 | 1 | 0 | 0 | not entailment |
(((v&a)>v)&(m&j)) | ((j&v)|(b|m)) | 1 | 1 | 0 | 0 | entailment |
((a>(f>f))>~((~((e>((a|o)|j)))|(o>e)))) | ((b|(((~((e&s))>e)&(j&v))>(f&o)))|(f|s)) | 1 | 1 | 0 | 0 | entailment |
(((v&a)>v)&(m&j)) | ((b|(((~((e&s))>e)&(j&v))>(f&o)))|(f|s)) | 0 | 0 | 0 | 0 | not entailment |
((a>(f>f))>~((~((e>((a|o)|j)))|(o>e)))) | ((j&v)|(b|m)) | 0 | 1 | 0 | 0 | not entailment |
~((s>v)) | (~((m|a))>~((((j|s)&f)&v))) | 1 | 0 | 0 | 0 | entailment |
(e&((s&(o>(e&j)))|b)) | (b>((j>s)>(((e|j)|m)|(v&v)))) | 1 | 0 | 0 | 0 | entailment |
~((s>v)) | (b>((j>s)>(((e|j)|m)|(v&v)))) | 0 | 0 | 0 | 0 | not entailment |
(e&((s&(o>(e&j)))|b)) | (~((m|a))>~((((j|s)&f)&v))) | 0 | 0 | 0 | 0 | not entailment |
(((e|m)&f)&(b&v)) | ((b|(e>(v&s)))>f) | 1 | 1 | 0 | 0 | entailment |
(e&~(~(j))) | ((a>b)>(f>e)) | 1 | 1 | 0 | 0 | entailment |
(((e|m)&f)&(b&v)) | ((a>b)>(f>e)) | 0 | 1 | 0 | 0 | not entailment |
(e&~(~(j))) | ((b|(e>(v&s)))>f) | 0 | 0 | 0 | 0 | not entailment |
(((((v&s)&a)&(e|e))|o)&(f&~(~(m)))) | ~(~((((s|e)&b)|(b>(a>(m|m)))))) | 1 | 1 | 0 | 0 | entailment |
(b&(f>a)) | (f>(e|a)) | 1 | 1 | 0 | 0 | entailment |
(((((v&s)&a)&(e|e))|o)&(f&~(~(m)))) | (f>(e|a)) | 0 | 1 | 1 | 0 | not entailment |
(b&(f>a)) | ~(~((((s|e)&b)|(b>(a>(m|m)))))) | 0 | 0 | 0 | 0 | not entailment |
~((s>((~((m&j))|(a>v))|b))) | (~(o)>m) | 1 | 1 | 0 | 0 | entailment |
(e|(m&(e&o))) | (((~((m&m))>(b&a))&~(e))>v) | 1 | 0 | 0 | 0 | entailment |
~((s>((~((m&j))|(a>v))|b))) | (((~((m&m))>(b&a))&~(e))>v) | 0 | 1 | 0 | 0 | not entailment |
(e|(m&(e&o))) | (~(o)>m) | 0 | 1 | 1 | 1 | not entailment |
((((s>s)>(j|o))&b)&j) | ((~(v)>(b|e))|(o&f)) | 1 | 1 | 0 | 0 | entailment |
~((s>(a>m))) | ~((((m&f)&((m&((s>o)&v))&e))|~((a&s)))) | 1 | 0 | 0 | 0 | entailment |
((((s>s)>(j|o))&b)&j) | ~((((m&f)&((m&((s>o)&v))&e))|~((a&s)))) | 0 | 0 | 0 | 0 | not entailment |
~((s>(a>m))) | ((~(v)>(b|e))|(o&f)) | 0 | 0 | 0 | 0 | not entailment |
~(((f>a)>(f>(v|s)))) | (~((b>e))|(~(f)>~(~(e)))) | 1 | 0 | 0 | 0 | entailment |
((e>(((m>(s>v))>(a>(f&b)))&a))&~((s>v))) | (((~(((s>v)&((o|(v>o))&f)))>(b|v))|v)>s) | 1 | 1 | 0 | 0 | entailment |
~(((f>a)>(f>(v|s)))) | (((~(((s>v)&((o|(v>o))&f)))>(b|v))|v)>s) | 0 | 0 | 0 | 0 | not entailment |
((e>(((m>(s>v))>(a>(f&b)))&a))&~((s>v))) | (~((b>e))|(~(f)>~(~(e)))) | 0 | 1 | 1 | 0 | not entailment |
((a&o)&(s|(~(((a&s)|a))|o))) | ((~(m)|a)|(o&e)) | 1 | 1 | 0 | 0 | entailment |
(~(((~(b)>a)>v))&(e&m)) | (~(f)>(m>e)) | 1 | 1 | 0 | 0 | entailment |
((a&o)&(s|(~(((a&s)|a))|o))) | (~(f)>(m>e)) | 0 | 1 | 0 | 0 | not entailment |
(~(((~(b)>a)>v))&(e&m)) | ((~(m)|a)|(o&e)) | 0 | 1 | 0 | 0 | not entailment |
((a&e)&b) | (~(~((o&v)))>(b|b)) | 1 | 0 | 0 | 0 | entailment |
(~((o>s))&(~(j)&v)) | (m|o) | 1 | 1 | 0 | 0 | entailment |
((a&e)&b) | (m|o) | 0 | 1 | 0 | 0 | not entailment |
(~((o>s))&(~(j)&v)) | (~(~((o&v)))>(b|b)) | 0 | 1 | 0 | 0 | not entailment |
((b>(e&~(j)))&((s&b)&(e&~(v)))) | ((j>s)|((~((a&~(s)))&(v>(m>s)))>s)) | 1 | 0 | 0 | 0 | entailment |
(s>j) | (s>(j|((b>f)|(s&o)))) | 1 | 0 | 0 | 0 | entailment |
((b>(e&~(j)))&((s&b)&(e&~(v)))) | (s>(j|((b>f)|(s&o)))) | 0 | 1 | 0 | 0 | not entailment |
(s>j) | ((j>s)|((~((a&~(s)))&(v>(m>s)))>s)) | 0 | 0 | 0 | 0 | not entailment |
(a&(j|j)) | (((a|v)|(v>a))&(~(j)>o)) | 1 | 0 | 0 | 0 | entailment |
~(~((m&~(((a|((a|a)>~(e)))>v))))) | (~(v)>m) | 1 | 1 | 1 | 0 | entailment |
(a&(j|j)) | (~(v)>m) | 0 | 1 | 0 | 0 | not entailment |
~(~((m&~(((a|((a|a)>~(e)))>v))))) | (((a|v)|(v>a))&(~(j)>o)) | 0 | 1 | 0 | 0 | not entailment |
~((v|~((o&j)))) | ((((j&v)|o)|o)|e) | 1 | 1 | 0 | 0 | entailment |
((~(s)&s)|m) | (~((b>f))|m) | 1 | 1 | 0 | 0 | entailment |
~((v|~((o&j)))) | (~((b>f))|m) | 0 | 1 | 0 | 0 | not entailment |
((~(s)&s)|m) | ((((j&v)|o)|o)|e) | 0 | 0 | 0 | 0 | not entailment |
((e>(s>o))>~((f>f))) | (((m&((a>j)|a))>((a>(o>(f&a)))&s))|b) | 1 | 0 | 0 | 0 | entailment |
((((~(v)&j)&e)&(a&m))&o) | ~(~((j&((f&(s&~(a)))>(v&e))))) | 1 | 0 | 0 | 0 | entailment |
((e>(s>o))>~((f>f))) | ~(~((j&((f&(s&~(a)))>(v&e))))) | 0 | 0 | 0 | 0 | not entailment |
((((~(v)&j)&e)&(a&m))&o) | (((m&((a>j)|a))>((a>(o>(f&a)))&s))|b) | 0 | 0 | 0 | 0 | not entailment |
((e&e)&(~((m>(s|f)))|(m&m))) | (((m|s)&((a|o)|e))&(f|(m|(e|(b>a))))) | 1 | 0 | 0 | 0 | entailment |
(~(s)&(((m|f)&(j&(s>j)))&(~(v)&e))) | ~(~(~(s))) | 1 | 1 | 1 | 1 | entailment |
((e&e)&(~((m>(s|f)))|(m&m))) | ~(~(~(s))) | 0 | 1 | 1 | 1 | not entailment |
(~(s)&(((m|f)&(j&(s>j)))&(~(v)&e))) | (((m|s)&((a|o)|e))&(f|(m|(e|(b>a))))) | 0 | 1 | 0 | 0 | not entailment |
(j&((s&(s>o))>s)) | (~(~((j|m)))|s) | 1 | 1 | 0 | 0 | entailment |
~((((j>(f>f))>(v>e))|a)) | (~(e)&((o&v)>o)) | 1 | 1 | 0 | 0 | entailment |
(j&((s&(s>o))>s)) | (~(e)&((o&v)>o)) | 0 | 1 | 0 | 0 | not entailment |
~((((j>(f>f))>(v>e))|a)) | (~(~((j|m)))|s) | 0 | 1 | 0 | 0 | not entailment |
(g&f) | (((~(~(~((~(t)&h))))>(e>s))>g)|(m|f)) | 1 | 0 | 0 | 0 | entailment |
((h&(h>w))|(f&t)) | ((m&~((w|t)))>s) | 1 | 1 | 0 | 0 | entailment |
(g&f) | ((m&~((w|t)))>s) | 0 | 0 | 0 | 0 | not entailment |
((h&(h>w))|(f&t)) | (((~(~(~((~(t)&h))))>(e>s))>g)|(m|f)) | 0 | 0 | 0 | 0 | not entailment |
~(((w>(m>f))&((w>w)|e))) | ((s>f)>(w&w)) | 1 | 1 | 0 | 0 | entailment |
((s>(((g|(h&w))>t)>(w>s)))&((x|(w|e))&f)) | ~(~((~(e)>f))) | 1 | 1 | 1 | 1 | entailment |
~(((w>(m>f))&((w>w)|e))) | ~(~((~(e)>f))) | 0 | 1 | 1 | 0 | not entailment |
((s>(((g|(h&w))>t)>(w>s)))&((x|(w|e))&f)) | ((s>f)>(w&w)) | 0 | 1 | 1 | 0 | not entailment |
(((t&g)&e)&~((~(s)|f))) | ((((g|~((w>t)))&(t|(g>x)))>(e>s))|w) | 1 | 0 | 0 | 0 | entailment |
~(((f>x)>(s|t))) | (s>~(~(((w&(x>w))>~(t))))) | 1 | 0 | 0 | 0 | entailment |
(((t&g)&e)&~((~(s)|f))) | (s>~(~(((w&(x>w))>~(t))))) | 0 | 0 | 0 | 0 | not entailment |
~(((f>x)>(s|t))) | ((((g|~((w>t)))&(t|(g>x)))>(e>s))|w) | 0 | 0 | 0 | 0 | not entailment |
(~((w&((h&(s|f))>(f&(g|s)))))&s) | (m>s) | 1 | 1 | 0 | 0 | entailment |
((g&t)&(e>s)) | (g|g) | 1 | 1 | 1 | 1 | entailment |
(~((w&((h&(s|f))>(f&(g|s)))))&s) | (g|g) | 0 | 1 | 1 | 0 | not entailment |
((g&t)&(e>s)) | (m>s) | 0 | 1 | 0 | 0 | not entailment |
(((w&f)&~(w))|~((s|m))) | (((g|m)&s)>((~(((s>w)&g))>t)>(e>t))) | 1 | 0 | 0 | 0 | entailment |
(s&x) | (~(e)>~(((f|s)>~((~(~(g))>s))))) | 1 | 0 | 0 | 0 | entailment |
(((w&f)&~(w))|~((s|m))) | (~(e)>~(((f|s)>~((~(~(g))>s))))) | 0 | 0 | 0 | 0 | not entailment |
(s&x) | (((g|m)&s)>((~(((s>w)&g))>t)>(e>t))) | 0 | 0 | 0 | 0 | not entailment |
~((((e>(w&g))&(h|e))>(w|(x&e)))) | (w>(((e|~(t))|~(((s&t)>(s|(h>s)))))|h)) | 1 | 0 | 0 | 0 | entailment |
~((~(f)|((t>t)>(e|e)))) | ((x&w)|(g>((s>f)|((~(g)|x)&(w>w))))) | 1 | 0 | 0 | 0 | entailment |
~((((e>(w&g))&(h|e))>(w|(x&e)))) | ((x&w)|(g>((s>f)|((~(g)|x)&(w>w))))) | 0 | 0 | 0 | 0 | not entailment |
~((~(f)|((t>t)>(e|e)))) | (w>(((e|~(t))|~(((s&t)>(s|(h>s)))))|h)) | 0 | 0 | 0 | 0 | not entailment |
((((m>e)&f)|s)&t) | ((f&(g>e))|(~((s>x))>(h|t))) | 1 | 0 | 0 | 0 | entailment |
((m&((e>g)>(f|e)))&f) | (((e|h)>(g>m))|((f|~(s))|~((e&s)))) | 1 | 0 | 0 | 0 | entailment |
((((m>e)&f)|s)&t) | (((e|h)>(g>m))|((f|~(s))|~((e&s)))) | 0 | 0 | 0 | 0 | not entailment |
((m&((e>g)>(f|e)))&f) | ((f&(g>e))|(~((s>x))>(h|t))) | 0 | 0 | 0 | 0 | not entailment |
(t&x) | (s>(~(s)|(f>(f>x)))) | 1 | 0 | 0 | 0 | entailment |
(t&(s|~(t))) | (((s|e)&(e|h))|(s|~(g))) | 1 | 0 | 0 | 0 | entailment |
(t&x) | (((s|e)&(e|h))|(s|~(g))) | 0 | 0 | 0 | 0 | not entailment |
(t&(s|~(t))) | (s>(~(s)|(f>(f>x)))) | 0 | 0 | 0 | 0 | not entailment |
(e&f) | ((w&x)>((e&(e|e))|(g|t))) | 1 | 0 | 0 | 0 | entailment |
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