details

property	value
status	complete
benchmark	gcd.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n139.star.cs.uiowa.edu
space	Mixed_relative_TRS

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0786609 seconds
cpu usage	0.033461
user time	0.012094
system time	0.021367
max virtual memory	113188.0
max residence set size	6428.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE Input TRS: 1: min(x,0()) -> 0() 2: min(0(),y) -> 0() 3: min(s(x),s(y)) -> s(min(x,y)) 4: max(x,0()) -> x 5: max(0(),y) -> y 6: max(s(x),s(y)) -> s(max(x,y)) 7: -(x,0()) -> x 8: -(s(x),s(y)) -> -(x,y) 9: gcd(s(x),s(y)) -> gcd(-(max(x,y),min(x,y)),s(min(x,y))) 10: gcd(s(x),0()) -> s(x) 11: gcd(0(),s(y)) -> s(y) 12: min(x,y) ->= min(y,x) 13: max(x,y) ->= max(y,x) Number of strict rules: 11 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #max(s(x),s(y)) -> #max(x,y) #2: #max(x,y) ->? #max(y,x) #3: #gcd(s(x),s(y)) -> #gcd(-(max(x,y),min(x,y)),s(min(x,y))) #4: #gcd(s(x),s(y)) -> #-(max(x,y),min(x,y)) #5: #gcd(s(x),s(y)) -> #max(x,y) #6: #gcd(s(x),s(y)) -> #min(x,y) #7: #gcd(s(x),s(y)) -> #min(x,y) #8: #min(x,y) ->? #min(y,x) #9: #min(s(x),s(y)) -> #min(x,y) #10: #-(s(x),s(y)) -> #-(x,y) Number of SCCs: 4, DPs: 6 SCC { #10 } POLO(Sum)... succeeded. s w: x1 + 1 gcd w: 0 #min w: 0 0 w: 0 max w: 0 #max w: 0 - w: 0 min w: 0 #- w: x1 + x2 #gcd w: 0 USABLE RULES: { } Removed DPs: #10 Number of SCCs: 3, DPs: 5 SCC { #8 #9 } POLO(Sum)... succeeded. s w: x1 + 1 gcd w: 0 #min w: x1 + x2 0 w: 0 max w: 0 #max w: 0 - w: 0 min w: 0 #- w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #9 Number of SCCs: 3, DPs: 4 SCC { #8 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed. popout

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all output return to TRS Relative