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 |
|---|---|---|---|---|---|---|
~((u|(d&(z&(i|(u>d)))))) | (i>~(((d&i)&g))) | 0 | 1 | 0 | 0 | not entailment |
~(((i|k)&(k>(z>k)))) | ~(~(((u>d)|((g&i)&~(k))))) | 0 | 0 | 0 | 0 | not entailment |
~((q>h)) | ~(((h|h)&(t&d))) | 1 | 0 | 0 | 0 | entailment |
~(~(((b&e)&(s|(~(t)>b))))) | ((((x|q)|y)|~(e))>e) | 1 | 1 | 0 | 0 | entailment |
~((q>h)) | ((((x|q)|y)|~(e))>e) | 0 | 0 | 0 | 0 | not entailment |
~(~(((b&e)&(s|(~(t)>b))))) | ~(((h|h)&(t&d))) | 0 | 1 | 0 | 0 | not entailment |
(~((x|((j&t)|e)))&(e|b)) | (b|(~(q)>y)) | 1 | 1 | 0 | 0 | entailment |
(q|(e&~(((e>d)&h)))) | (((j&~(~(q)))|(((h&e)|q)|((h>t)|s)))|j) | 1 | 0 | 0 | 0 | entailment |
(~((x|((j&t)|e)))&(e|b)) | (((j&~(~(q)))|(((h&e)|q)|((h>t)|s)))|j) | 0 | 0 | 0 | 0 | not entailment |
(q|(e&~(((e>d)&h)))) | (b|(~(q)>y)) | 0 | 1 | 0 | 0 | not entailment |
~(((s&e)>(d&t))) | (((q&y)|j)|(y|s)) | 1 | 1 | 0 | 0 | entailment |
(((e>s)|(q|d))&~((~(h)|s))) | ((q>~(((d>y)&~(x))))|(s>(s>h))) | 1 | 0 | 0 | 0 | entailment |
~(((s&e)>(d&t))) | ((q>~(((d>y)&~(x))))|(s>(s>h))) | 0 | 0 | 0 | 0 | not entailment |
(((e>s)|(q|d))&~((~(h)|s))) | (((q&y)|j)|(y|s)) | 0 | 1 | 0 | 0 | not entailment |
((e|e)&(j&x)) | ((h|((h|j)>h))|e) | 1 | 0 | 0 | 0 | entailment |
~(~((~((x&x))&b))) | (h|(t>((d&(b>(y|e)))|b))) | 1 | 0 | 0 | 0 | entailment |
((e|e)&(j&x)) | (h|(t>((d&(b>(y|e)))|b))) | 0 | 0 | 0 | 0 | not entailment |
~(~((~((x&x))&b))) | ((h|((h|j)>h))|e) | 0 | 1 | 0 | 0 | not entailment |
(e&(h&(h>s))) | ~(~(((x&d)>(t>(y|h))))) | 1 | 0 | 0 | 0 | entailment |
(((~(((y|b)&j))&x)>x)&(t&((q&~(b))|j))) | (((b&(~(((e>y)>s))>h))|t)&(t|((d|e)|t))) | 1 | 1 | 0 | 0 | entailment |
(e&(h&(h>s))) | (((b&(~(((e>y)>s))>h))|t)&(t|((d|e)|t))) | 0 | 0 | 0 | 0 | not entailment |
(((~(((y|b)&j))&x)>x)&(t&((q&~(b))|j))) | ~(~(((x&d)>(t>(y|h))))) | 0 | 1 | 0 | 0 | not entailment |
((b&e)&((~((~((x&h))|j))>(q|d))>j)) | ((((d|y)>~(s))&~(x))>e) | 1 | 1 | 0 | 0 | entailment |
~(((j&y)|q)) | (~(((x|x)&q))|~(((x&(h>y))>(b|j)))) | 1 | 0 | 0 | 0 | entailment |
((b&e)&((~((~((x&h))|j))>(q|d))>j)) | (~(((x|x)&q))|~(((x&(h>y))>(b|j)))) | 0 | 1 | 0 | 0 | not entailment |
~(((j&y)|q)) | ((((d|y)>~(s))&~(x))>e) | 0 | 0 | 0 | 0 | not entailment |
(~((y>(h|j)))&~((~(s)|q))) | ((h|b)|(s|b)) | 1 | 1 | 0 | 0 | entailment |
(e|(e&y)) | (~(~((t>j)))|e) | 1 | 0 | 0 | 0 | entailment |
(~((y>(h|j)))&~((~(s)|q))) | (~(~((t>j)))|e) | 0 | 1 | 0 | 0 | not entailment |
(e|(e&y)) | ((h|b)|(s|b)) | 0 | 0 | 0 | 0 | not entailment |
((y&s)&~(x)) | (s&s) | 1 | 1 | 1 | 1 | entailment |
(((h|h)|(~((j|d))>s))&(b&((y&e)&e))) | ((s&e)|(j|(x|((h&~(h))|e)))) | 1 | 1 | 0 | 0 | entailment |
((y&s)&~(x)) | ((s&e)|(j|(x|((h&~(h))|e)))) | 0 | 0 | 0 | 0 | not entailment |
(((h|h)|(~((j|d))>s))&(b&((y&e)&e))) | (s&s) | 0 | 1 | 1 | 1 | not entailment |
(e&(q>e)) | (y|e) | 1 | 1 | 0 | 0 | entailment |
(j&b) | ((((s&y)|(h&s))|j)&(~((j|(t>t)))|(b&j))) | 1 | 0 | 0 | 0 | entailment |
(e&(q>e)) | ((((s&y)|(h&s))|j)&(~((j|(t>t)))|(b&j))) | 0 | 0 | 0 | 0 | not entailment |
(j&b) | (y|e) | 0 | 1 | 0 | 0 | not entailment |
(j&(~(~(e))>~(b))) | (j|x) | 1 | 1 | 0 | 0 | entailment |
~(~(~((~(s)|h)))) | ((j&s)|((e|t)|(~(h)|s))) | 1 | 0 | 0 | 0 | entailment |
(j&(~(~(e))>~(b))) | ((j&s)|((e|t)|(~(h)|s))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((~(s)|h)))) | (j|x) | 0 | 1 | 0 | 0 | not entailment |
~(~((x&(e&y)))) | (~(y)>q) | 1 | 1 | 0 | 0 | entailment |
(h&~((((x&j)>j)>(b|q)))) | (h&(h|~(~(s)))) | 1 | 1 | 0 | 0 | entailment |
~(~((x&(e&y)))) | (h&(h|~(~(s)))) | 0 | 1 | 0 | 0 | not entailment |
(h&~((((x&j)>j)>(b|q)))) | (~(y)>q) | 0 | 1 | 0 | 0 | not entailment |
((x|d)&((x&(t&b))>~((x|(~(e)|d))))) | (~(d)>((s|((j|e)>x))|e)) | 1 | 1 | 0 | 0 | entailment |
~((((x&d)|e)|((e|e)&((s>(x&t))|(t&e))))) | ((b>(q|y))>((e&((s|(e|q))|s))>(j|t))) | 1 | 1 | 0 | 0 | entailment |
((x|d)&((x&(t&b))>~((x|(~(e)|d))))) | ((b>(q|y))>((e&((s|(e|q))|s))>(j|t))) | 0 | 1 | 0 | 0 | not entailment |
~((((x&d)|e)|((e|e)&((s>(x&t))|(t&e))))) | (~(d)>((s|((j|e)>x))|e)) | 0 | 1 | 0 | 0 | not entailment |
~((h>(y>((x|(d|(y|b)))>t)))) | (j|(((b|~((j|q)))|j)>((h>~(b))>(t>e)))) | 1 | 0 | 0 | 0 | entailment |
((((e|s)>(d|t))&h)&(t&s)) | ((h|(x>x))>((s|q)>s)) | 1 | 1 | 0 | 0 | entailment |
~((h>(y>((x|(d|(y|b)))>t)))) | ((h|(x>x))>((s|q)>s)) | 0 | 1 | 0 | 0 | not entailment |
((((e|s)>(d|t))&h)&(t&s)) | (j|(((b|~((j|q)))|j)>((h>~(b))>(t>e)))) | 0 | 0 | 0 | 0 | not entailment |
((d&j)&((((d>(b|d))>((x>b)|q))&s)&(y>d))) | ~(~(((~((x&x))>~(((j|y)|~(d))))|d))) | 1 | 1 | 1 | 0 | entailment |
~((h|((e>d)|b))) | ~(((d&((x&y)|s))&q)) | 1 | 0 | 0 | 0 | entailment |
((d&j)&((((d>(b|d))>((x>b)|q))&s)&(y>d))) | ~(((d&((x&y)|s))&q)) | 0 | 1 | 1 | 0 | not entailment |
~((h|((e>d)|b))) | ~(~(((~((x&x))>~(((j|y)|~(d))))|d))) | 0 | 0 | 0 | 0 | not entailment |
((d&t)&(t|(h|(~((q|y))|t)))) | (t|s) | 1 | 1 | 0 | 0 | entailment |
~((j>(y>(q|b)))) | ((j|((b|y)&y))|(s&e)) | 1 | 0 | 0 | 0 | entailment |
((d&t)&(t|(h|(~((q|y))|t)))) | ((j|((b|y)&y))|(s&e)) | 0 | 1 | 0 | 0 | not entailment |
~((j>(y>(q|b)))) | (t|s) | 0 | 1 | 0 | 0 | not entailment |
~(((q|b)|((s&j)>(y&(s>(s>e)))))) | ((h|(~((q|j))|(t&((e|h)&b))))|(s|j)) | 1 | 0 | 0 | 0 | entailment |
~((e>j)) | ((x|(~(j)&y))|e) | 1 | 0 | 0 | 0 | entailment |
~(((q|b)|((s&j)>(y&(s>(s>e)))))) | ((x|(~(j)&y))|e) | 0 | 1 | 0 | 0 | not entailment |
~((e>j)) | ((h|(~((q|j))|(t&((e|h)&b))))|(s|j)) | 0 | 0 | 0 | 0 | not entailment |
(~(b)&((x&x)&q)) | (((s&b)&s)|~((y&(j&b)))) | 1 | 0 | 0 | 0 | entailment |
(((j>t)>((x>q)&(b&t)))&(j&x)) | (j&((t&(s&(y&(b&d))))>(t|y))) | 1 | 1 | 0 | 0 | entailment |
(~(b)&((x&x)&q)) | (j&((t&(s&(y&(b&d))))>(t|y))) | 0 | 0 | 0 | 0 | not entailment |
(((j>t)>((x>q)&(b&t)))&(j&x)) | (((s&b)&s)|~((y&(j&b)))) | 0 | 1 | 0 | 0 | not entailment |
(s&~((j>((y|x)|h)))) | (j|e) | 1 | 1 | 0 | 0 | entailment |
((t&(d&h))&~(~(~((b>y))))) | (d|d) | 1 | 1 | 1 | 1 | entailment |
(s&~((j>((y|x)|h)))) | (d|d) | 0 | 1 | 0 | 0 | not entailment |
((t&(d&h))&~(~(~((b>y))))) | (j|e) | 0 | 1 | 0 | 0 | not entailment |
~((d|~(f))) | (((d|d)&(f|l))|(d>l)) | 1 | 0 | 0 | 0 | entailment |
(~((~(d)|l))&(j|l)) | (d&(f|(d|((l&d)|(f&d))))) | 1 | 0 | 0 | 0 | entailment |
~((d|~(f))) | (d&(f|(d|((l&d)|(f&d))))) | 0 | 0 | 0 | 0 | not entailment |
(~((~(d)|l))&(j|l)) | (((d|d)&(f|l))|(d>l)) | 0 | 1 | 0 | 0 | not entailment |
~((~(j)|(((d|~(f))&(d|j))|~(f)))) | (~(((l>j)|d))>(l&j)) | 1 | 1 | 0 | 0 | entailment |
(~(~((f&l)))|(~(l)&l)) | (~((j&~(l)))|d) | 1 | 1 | 0 | 0 | entailment |
~((~(j)|(((d|~(f))&(d|j))|~(f)))) | (~((j&~(l)))|d) | 0 | 1 | 0 | 0 | not entailment |
(~(~((f&l)))|(~(l)&l)) | (~(((l>j)|d))>(l&j)) | 0 | 1 | 0 | 0 | not entailment |
((f&j)&l) | (f&(l>(j>(((j&j)&d)|f)))) | 1 | 0 | 0 | 0 | entailment |
(j&(l&(d&(f>f)))) | (~((~(d)|(f|d)))|d) | 1 | 0 | 1 | 0 | entailment |
((f&j)&l) | (~((~(d)|(f|d)))|d) | 0 | 0 | 0 | 0 | not entailment |
(j&(l&(d&(f>f)))) | (f&(l>(j>(((j&j)&d)|f)))) | 0 | 0 | 1 | 0 | not entailment |
~((~(((l&l)>d))|~(f))) | ((l|f)&((f>d)>(~(j)|d))) | 1 | 1 | 0 | 0 | entailment |
~(((((d&(l>l))&(j&f))>f)&~((l&(j|j))))) | (((l|(d|f))>(f>j))&((j|f)&((l>l)|d))) | 1 | 1 | 1 | 0 | entailment |
~((~(((l&l)>d))|~(f))) | (((l|(d|f))>(f>j))&((j|f)&((l>l)|d))) | 0 | 0 | 0 | 0 | not entailment |
~(((((d&(l>l))&(j&f))>f)&~((l&(j|j))))) | ((l|f)&((f>d)>(~(j)|d))) | 0 | 1 | 1 | 0 | not entailment |
(((d&l)>(j|(f&(f>d))))&((f|~(d))>l)) | (((j|~(f))>(d|j))|(~((l&j))>((l|f)|f))) | 1 | 0 | 1 | 0 | entailment |
(j>~(((l|(~(d)|(d>(f&~(j)))))|(j|j)))) | (d|~(j)) | 1 | 1 | 1 | 1 | entailment |
(((d&l)>(j|(f&(f>d))))&((f|~(d))>l)) | (d|~(j)) | 0 | 1 | 1 | 0 | not entailment |
(j>~(((l|(~(d)|(d>(f&~(j)))))|(j|j)))) | (((j|~(f))>(d|j))|(~((l&j))>((l|f)|f))) | 0 | 1 | 1 | 0 | not entailment |
((f|((d&d)|~(f)))>(d&f)) | (l|~((~(f)&(~(j)>f)))) | 1 | 1 | 0 | 0 | entailment |
~((d>~(j))) | ((f>f)&j) | 1 | 1 | 0 | 0 | entailment |
((f|((d&d)|~(f)))>(d&f)) | ((f>f)&j) | 0 | 1 | 0 | 0 | not entailment |
~((d>~(j))) | (l|~((~(f)&(~(j)>f)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((j&f)))>~((((d>d)|(f&f))&l)))) | (~(j)>~(((~(d)&(l>j))>d))) | 1 | 1 | 1 | 0 | entailment |
(~(j)&(j>(((f&d)|~(d))>(l|d)))) | ~(j) | 1 | 1 | 1 | 1 | entailment |
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