details

property	value
status	complete
benchmark	ex05.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n192.star.cs.uiowa.edu
space	Zantema_15

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.375044 seconds
cpu usage	0.045999
user time	0.025917
system time	0.020082
max virtual memory	113188.0
max residence set size	6972.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE Input TRS: 1: f(true(),true(),x,s(y)) -> f(isNat(x),isNat(y),s(x),double(s(y))) 2: isNat(0()) -> true() 3: isNat(s(x)) -> isNat(x) 4: double(0()) -> 0() 5: double(s(x)) -> s(s(double(x))) Number of strict rules: 5 Direct POLO(bPol) ... failed. Uncurrying double 1: f(true(),true(),x,s(y)) -> f(isNat(x),isNat(y),s(x),double^1_s(y)) 2: isNat(0()) -> true() 3: isNat(s(x)) -> isNat(x) 4: double^1_0() -> 0() 5: double^1_s(x) -> s(s(double(x))) 6: double(0()) ->= double^1_0() 7: double(s(_1)) ->= double^1_s(_1) Number of strict rules: 5 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #double(0()) ->? #double^1_0() #2: #double(s(_1)) ->? #double^1_s(_1) #3: #double^1_s(x) -> #double(x) #4: #isNat(s(x)) -> #isNat(x) #5: #f(true(),true(),x,s(y)) -> #f(isNat(x),isNat(y),s(x),double^1_s(y)) #6: #f(true(),true(),x,s(y)) -> #isNat(x) #7: #f(true(),true(),x,s(y)) -> #isNat(y) #8: #f(true(),true(),x,s(y)) -> #double^1_s(y) Number of SCCs: 3, DPs: 4 SCC { #4 } POLO(Sum)... succeeded. double^1_s w: 0 s w: x1 + 1 #isNat w: x1 double^1_0 w: 0 true w: 0 f w: 0 #double^1_0 w: 0 0 w: 0 #double w: 0 double w: 0 #f w: 0 isNat w: 0 #double^1_s w: 0 USABLE RULES: { } Removed DPs: #4 Number of SCCs: 2, DPs: 3 SCC { #2 #3 } POLO(Sum)... succeeded. double^1_s w: 0 s w: x1 + 2 #isNat w: 0 double^1_0 w: 0 true w: 0 f w: 0 #double^1_0 w: 0 0 w: 0 #double w: x1 double w: 0 #f w: 0 isNat w: 0 #double^1_s w: x1 + 1 USABLE RULES: { } Removed DPs: #2 #3 Number of SCCs: 1, DPs: 1 SCC { #5 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed. popout

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actions

all output return to TRS Standard