details

property	value
status	complete
benchmark	#3.6.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n070.star.cs.uiowa.edu
space	AG01

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0439691 seconds
cpu usage	0.024931
user time	0.01245
system time	0.012481
max virtual memory	113188.0
max residence set size	5852.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: le(0(),y) -> true() 2: le(s(x),0()) -> false() 3: le(s(x),s(y)) -> le(x,y) 4: pred(s(x)) -> x 5: minus(x,0()) -> x 6: minus(x,s(y)) -> pred(minus(x,y)) 7: gcd(0(),y) -> y 8: gcd(s(x),0()) -> s(x) 9: gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) 10: if_gcd(true(),s(x),s(y)) -> gcd(minus(x,y),s(y)) 11: if_gcd(false(),s(x),s(y)) -> gcd(minus(y,x),s(x)) Number of strict rules: 11 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #minus(x,s(y)) -> #pred(minus(x,y)) #2: #minus(x,s(y)) -> #minus(x,y) #3: #gcd(s(x),s(y)) -> #if_gcd(le(y,x),s(x),s(y)) #4: #gcd(s(x),s(y)) -> #le(y,x) #5: #if_gcd(false(),s(x),s(y)) -> #gcd(minus(y,x),s(x)) #6: #if_gcd(false(),s(x),s(y)) -> #minus(y,x) #7: #if_gcd(true(),s(x),s(y)) -> #gcd(minus(x,y),s(y)) #8: #if_gcd(true(),s(x),s(y)) -> #minus(x,y) #9: #le(s(x),s(y)) -> #le(x,y) Number of SCCs: 3, DPs: 5 SCC { #2 } POLO(Sum)... succeeded. le w: 0 s w: x1 + 1 #le w: 0 minus w: 0 gcd w: 0 false w: 0 true w: 0 pred w: 0 0 w: 0 #minus w: x2 #pred w: 0 if_gcd w: 0 #if_gcd w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #2 Number of SCCs: 2, DPs: 4 SCC { #9 } POLO(Sum)... succeeded. le w: 0 s w: x1 + 1 #le w: x2 minus w: 0 gcd w: 0 false w: 0 true w: 0 pred w: 0 0 w: 0 #minus w: 0 #pred w: 0 if_gcd w: 0 #if_gcd w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #9 Number of SCCs: 1, DPs: 3 SCC { #3 #5 #7 } POLO(Sum)... succeeded. le w: x1 + x2 + 1 s w: x1 + 3 #le w: 0 minus w: x1 + 1 gcd w: 0 false w: 6 true w: 3 pred w: x1 0 w: 1 #minus w: 0 #pred w: 0 if_gcd w: 0 #if_gcd w: x2 + x3 #gcd w: x1 + x2 + 1 USABLE RULES: { 4..6 } Removed DPs: #3 #5 #7 Number of SCCs: 0, DPs: 0 popout

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all output return to TRS Standard