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&d) | (~(d)|(~(((d|(~((d>f))|d))|f))|f)) | 0 | 0 | 0 | 0 | not entailment |
(d>f) | (d|d) | 0 | 1 | 1 | 0 | not entailment |
(f&(d>d)) | ((f|(d&(d|(d>f))))|f) | 1 | 0 | 1 | 1 | entailment |
((d>d)>~(f)) | ((f|(~(f)|((d>d)>d)))>(f>d)) | 1 | 0 | 1 | 0 | entailment |
(f&(d>d)) | ((f|(~(f)|((d>d)>d)))>(f>d)) | 0 | 0 | 1 | 0 | not entailment |
((d>d)>~(f)) | ((f|(d&(d|(d>f))))|f) | 0 | 0 | 1 | 0 | not entailment |
((d>d)>~(~(f))) | ~(~(~(((f|f)>(~((d>f))&(f>d)))))) | 1 | 0 | 1 | 1 | entailment |
~((d>((f&f)&~(~((f>d)))))) | (~(f)&(~((f>f))>d)) | 1 | 1 | 1 | 1 | entailment |
((d>d)>~(~(f))) | (~(f)&(~((f>f))>d)) | 0 | 0 | 1 | 0 | not entailment |
~((d>((f&f)&~(~((f>d)))))) | ~(~(~(((f|f)>(~((d>f))&(f>d)))))) | 0 | 0 | 1 | 1 | not entailment |
((f&f)&(f|(((f&f)|d)&(d&~(f))))) | ((((f|d)>d)|(~(f)|d))>((f>d)&f)) | 1 | 1 | 1 | 0 | entailment |
((f|d)>(~(d)&d)) | (((f|~(~(~(~(f)))))>d)|~((d>f))) | 1 | 0 | 1 | 1 | entailment |
((f&f)&(f|(((f&f)|d)&(d&~(f))))) | (((f|~(~(~(~(f)))))>d)|~((d>f))) | 0 | 0 | 1 | 1 | not entailment |
((f|d)>(~(d)&d)) | ((((f|d)>d)|(~(f)|d))>((f>d)&f)) | 0 | 0 | 1 | 0 | not entailment |
(f&(~(d)|(((f|f)>d)|d))) | (~(~(f))|(d&~((f|d)))) | 1 | 1 | 1 | 1 | entailment |
((f>d)&~(~(~(f)))) | ~(f) | 1 | 1 | 1 | 1 | entailment |
(f&(~(d)|(((f|f)>d)|d))) | ~(f) | 0 | 1 | 1 | 1 | not entailment |
((f>d)&~(~(~(f)))) | (~(~(f))|(d&~((f|d)))) | 0 | 0 | 1 | 0 | not entailment |
~(((f|~(~(d)))|(d&((d|f)&(d|~(d)))))) | (f|((d|d)>~(d))) | 1 | 1 | 1 | 0 | entailment |
(d&~(f)) | (d&~((~(f)>f))) | 1 | 0 | 1 | 1 | entailment |
~(((f|~(~(d)))|(d&((d|f)&(d|~(d)))))) | (d&~((~(f)>f))) | 0 | 1 | 1 | 1 | not entailment |
(d&~(f)) | (f|((d|d)>~(d))) | 0 | 0 | 1 | 0 | not entailment |
(((f&f)|f)&f) | ~(~(((~(~(f))|(((f&d)|f)&d))|d))) | 1 | 0 | 0 | 0 | entailment |
~(((~(d)>((d|(f&f))>~(~((d>f)))))>f)) | (((d|f)>~(d))>((f&d)|((f&(d>f))>(f>d)))) | 1 | 1 | 1 | 1 | entailment |
(((f&f)|f)&f) | (((d|f)>~(d))>((f&d)|((f&(d>f))>(f>d)))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(d)>((d|(f&f))>~(~((d>f)))))>f)) | ~(~(((~(~(f))|(((f&d)|f)&d))|d))) | 0 | 1 | 1 | 1 | not entailment |
(y&(~((y>((y|y)|y)))>(y|y))) | ((y>y)>y) | 1 | 1 | 1 | 1 | entailment |
~(y) | ~(y) | 1 | 1 | 1 | 1 | entailment |
(y&(~((y>((y|y)|y)))>(y|y))) | ~(y) | 0 | 1 | 1 | 1 | not entailment |
~(y) | ((y>y)>y) | 0 | 0 | 1 | 0 | not entailment |
(~(~(((y&y)|y)))&(y&y)) | (((y|y)&(y|y))|(y|(~(y)>y))) | 1 | 0 | 1 | 1 | entailment |
~(((y|y)|y)) | ~((y&(y&(y&y)))) | 1 | 0 | 1 | 1 | entailment |
(~(~(((y&y)|y)))&(y&y)) | ~((y&(y&(y&y)))) | 0 | 1 | 1 | 0 | not entailment |
~(((y|y)|y)) | (((y|y)&(y|y))|(y|(~(y)>y))) | 0 | 0 | 1 | 0 | not entailment |
~(~((y&(y&(y|y))))) | ~(~((((y|(y&y))>((y>y)&(y|y)))>(y&y)))) | 1 | 0 | 1 | 0 | entailment |
(~(y)&((y>y)|y)) | (~((y|y))|(((y|(y&y))|y)&~(y))) | 1 | 0 | 1 | 1 | entailment |
~(~((y&(y&(y|y))))) | (~((y|y))|(((y|(y&y))|y)&~(y))) | 0 | 0 | 1 | 0 | not entailment |
(~(y)&((y>y)|y)) | ~(~((((y|(y&y))>((y>y)&(y|y)))>(y&y)))) | 0 | 0 | 1 | 1 | not entailment |
(((y>(y&y))|(y&y))&(y&y)) | (y&y) | 1 | 1 | 1 | 1 | entailment |
(y>~((y&y))) | ~(((~(~(y))>(y|y))&y)) | 1 | 0 | 1 | 0 | entailment |
(((y>(y&y))|(y&y))&(y&y)) | ~(((~(~(y))>(y|y))&y)) | 0 | 1 | 1 | 1 | not entailment |
(y>~((y&y))) | (y&y) | 0 | 1 | 1 | 0 | not entailment |
(y&y) | (y|y) | 1 | 1 | 1 | 1 | entailment |
(~(((y|(y>y))>(y|y)))&(~((y>(y|y)))>y)) | ~(((y>~(y))>((y&y)|y))) | 1 | 1 | 1 | 1 | entailment |
(y&y) | ~(((y>~(y))>((y&y)|y))) | 0 | 0 | 1 | 0 | not entailment |
(~(((y|(y>y))>(y|y)))&(~((y>(y|y)))>y)) | (y|y) | 0 | 1 | 1 | 1 | not entailment |
(y&y) | (y&(y|y)) | 1 | 0 | 1 | 1 | entailment |
(((y|(y>y))&y)>(~(((y|y)&(y&y)))&y)) | ~(y) | 1 | 1 | 1 | 1 | entailment |
(y&y) | ~(y) | 0 | 1 | 1 | 0 | not entailment |
(((y|(y>y))&y)>(~(((y|y)&(y&y)))&y)) | (y&(y|y)) | 0 | 1 | 1 | 1 | not entailment |
(((y|y)>(y|y))>y) | ~(~((y&(y>(y>y))))) | 1 | 0 | 1 | 1 | entailment |
((~(y)|(y>y))>~((y|y))) | ~(((y&~((y|~(y))))|(((y|y)&y)|y))) | 1 | 0 | 1 | 1 | entailment |
(((y|y)>(y|y))>y) | ~(((y&~((y|~(y))))|(((y|y)&y)|y))) | 0 | 0 | 1 | 1 | not entailment |
((~(y)|(y>y))>~((y|y))) | ~(~((y&(y>(y>y))))) | 0 | 1 | 1 | 1 | not entailment |
((y|y)|(y|y)) | (y&y) | 1 | 1 | 1 | 1 | entailment |
~(y) | ~(((y|y)|y)) | 1 | 0 | 1 | 1 | entailment |
((y|y)|(y|y)) | ~(((y|y)|y)) | 0 | 1 | 1 | 0 | not entailment |
~(y) | (y&y) | 0 | 1 | 1 | 0 | not entailment |
(y|y) | ((y>y)>y) | 1 | 0 | 1 | 0 | entailment |
(y>~(((y>(y&~((y&(y>y)))))|((y>y)>y)))) | ~(y) | 1 | 1 | 1 | 1 | entailment |
(y|y) | ~(y) | 0 | 1 | 1 | 0 | not entailment |
(y>~(((y>(y&~((y&(y>y)))))|((y>y)>y)))) | ((y>y)>y) | 0 | 1 | 1 | 1 | not entailment |
(~(~((y&(y>y))))&y) | (y|~((((y&y)|y)>y))) | 1 | 1 | 1 | 1 | entailment |
(~(~(~(y)))|~((y|y))) | ((y|(y|y))>((((y>y)>y)>(y>~(y)))&y)) | 1 | 0 | 1 | 0 | entailment |
(~(~((y&(y>y))))&y) | ((y|(y|y))>((((y>y)>y)>(y>~(y)))&y)) | 0 | 0 | 1 | 1 | not entailment |
(~(~(~(y)))|~((y|y))) | (y|~((((y&y)|y)>y))) | 0 | 1 | 1 | 0 | not entailment |
(((v>v)|(b>x))&(((~(~(h))&q)>x)>(h&b))) | (b>~(~((b>(q|h))))) | 1 | 1 | 1 | 1 | entailment |
~(~((x&(v|v)))) | ~(~((v|(~((~(x)|q))>~(~(v)))))) | 1 | 0 | 0 | 0 | entailment |
(((v>v)|(b>x))&(((~(~(h))&q)>x)>(h&b))) | ~(~((v|(~((~(x)|q))>~(~(v)))))) | 0 | 1 | 1 | 1 | not entailment |
~(~((x&(v|v)))) | (b>~(~((b>(q|h))))) | 0 | 0 | 0 | 0 | not entailment |
(q&((b>q)&x)) | ((~(v)&h)>((q>x)&(x|v))) | 1 | 0 | 0 | 0 | entailment |
~(~((b&h))) | ~(((x&q)&~((v|(q>b))))) | 1 | 0 | 0 | 0 | entailment |
(q&((b>q)&x)) | ~(((x&q)&~((v|(q>b))))) | 0 | 0 | 0 | 0 | not entailment |
~(~((b&h))) | ((~(v)&h)>((q>x)&(x|v))) | 0 | 0 | 0 | 0 | not entailment |
(~((((q>(v>h))>v)&q))&q) | ((((h>b)&h)&(q>v))>(v&q)) | 1 | 1 | 0 | 0 | entailment |
((((v>v)>v)>h)>(x&b)) | (q>~((~((v|x))&(b>(b&x))))) | 1 | 0 | 0 | 0 | entailment |
(~((((q>(v>h))>v)&q))&q) | (q>~((~((v|x))&(b>(b&x))))) | 0 | 0 | 0 | 0 | not entailment |
((((v>v)>v)>h)>(x&b)) | ((((h>b)&h)&(q>v))>(v&q)) | 0 | 0 | 0 | 0 | not entailment |
((q>x)&(((h>(h|h))>v)&~(~((x&(v>b)))))) | (((x&x)|(v&x))|~(((v>q)|q))) | 1 | 1 | 1 | 1 | entailment |
~(((~(x)>(q|v))|(b>q))) | (~((h>b))|~(x)) | 1 | 1 | 0 | 0 | entailment |
((q>x)&(((h>(h|h))>v)&~(~((x&(v>b)))))) | (~((h>b))|~(x)) | 0 | 1 | 1 | 0 | not entailment |
~(((~(x)>(q|v))|(b>q))) | (((x&x)|(v&x))|~(((v>q)|q))) | 0 | 0 | 1 | 0 | not entailment |
~(((v>~((q&q)))|~(v))) | ((~(h)&x)|(~(q)>(((b>v)|h)&b))) | 1 | 0 | 0 | 0 | entailment |
(v>(x&(h>(b&x)))) | ((b|(h&q))|(v>x)) | 1 | 1 | 0 | 0 | entailment |
~(((v>~((q&q)))|~(v))) | ((b|(h&q))|(v>x)) | 0 | 1 | 0 | 0 | not entailment |
(v>(x&(h>(b&x)))) | ((~(h)&x)|(~(q)>(((b>v)|h)&b))) | 0 | 0 | 0 | 0 | not entailment |
(((q>x)>~(b))>(b&b)) | ((b&b)|(v|(x|(h&(h&~((v>((h|b)>b)))))))) | 1 | 0 | 0 | 0 | entailment |
(~(x)&(x|~((b|v)))) | ((x&(b>b))>(h>q)) | 1 | 1 | 0 | 0 | entailment |
(((q>x)>~(b))>(b&b)) | ((x&(b>b))>(h>q)) | 0 | 1 | 0 | 0 | not entailment |
(~(x)&(x|~((b|v)))) | ((b&b)|(v|(x|(h&(h&~((v>((h|b)>b)))))))) | 0 | 0 | 0 | 0 | not entailment |
((((x>h)|b)|(~(((q|q)>q))|x))&(q&b)) | ~(((((q>q)>x)|(h>v))&~((q|(x>b))))) | 1 | 1 | 0 | 0 | entailment |
((((h|h)&~(h))|(v|v))&((b|~(b))&(h|q))) | ((~(~((h|v)))&b)|~(b)) | 1 | 1 | 1 | 1 | entailment |
((((x>h)|b)|(~(((q|q)>q))|x))&(q&b)) | ((~(~((h|v)))&b)|~(b)) | 0 | 1 | 0 | 0 | not entailment |
((((h|h)&~(h))|(v|v))&((b|~(b))&(h|q))) | ~(((((q>q)>x)|(h>v))&~((q|(x>b))))) | 0 | 1 | 0 | 0 | not entailment |
(v|(((x>h)&(~(~(q))&q))&h)) | (v|(h>q)) | 1 | 1 | 1 | 0 | entailment |
~(((~(b)>(v|x))>((b&h)|v))) | ((q|v)>q) | 1 | 1 | 0 | 0 | entailment |
(v|(((x>h)&(~(~(q))&q))&h)) | ((q|v)>q) | 0 | 1 | 1 | 0 | not entailment |
~(((~(b)>(v|x))>((b&h)|v))) | (v|(h>q)) | 0 | 1 | 0 | 0 | not entailment |
(b&(((h>((v&v)&x))|v)&(v>~(h)))) | (b|~(((~(b)>v)&v))) | 1 | 1 | 1 | 0 | entailment |
((((h|q)&~(b))>(b>(v>x)))>(x&(v&x))) | ((x|(h&q))|(x|(h&v))) | 1 | 1 | 1 | 1 | entailment |
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