details

property	value
status	complete
benchmark	aprove02.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n185.star.cs.uiowa.edu
space	Secret_07_TRS

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.232167 seconds
cpu usage	0.083946
user time	0.056242
system time	0.027704
max virtual memory	113188.0
max residence set size	8216.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE Input TRS: 1: plus(x,y) -> ifPlus(isZero(x),x,inc(y)) 2: ifPlus(true(),x,y) -> p(y) 3: ifPlus(false(),x,y) -> plus(p(x),y) 4: times(x,y) -> timesIter(0(),x,y,0()) 5: timesIter(i,x,y,z) -> ifTimes(ge(i,x),i,x,y,z) 6: ifTimes(true(),i,x,y,z) -> z 7: ifTimes(false(),i,x,y,z) -> timesIter(inc(i),x,y,plus(z,y)) 8: isZero(0()) -> true() 9: isZero(s(0())) -> false() 10: isZero(s(s(x))) -> isZero(s(x)) 11: inc(0()) -> s(0()) 12: inc(s(x)) -> s(inc(x)) 13: inc(x) -> s(x) 14: p(0()) -> 0() 15: p(s(x)) -> x 16: p(s(s(x))) -> s(p(s(x))) 17: ge(x,0()) -> true() 18: ge(0(),s(y)) -> false() 19: ge(s(x),s(y)) -> ge(x,y) 20: f0(0(),y,x) -> f1(x,y,x) 21: f1(x,y,z) -> f2(x,y,z) 22: f2(x,1(),z) -> f0(x,z,z) 23: f0(x,y,z) -> d() 24: f1(x,y,z) -> c() Number of strict rules: 24 Direct POLO(bPol) ... failed. Uncurrying isZero p 1: plus(x,y) -> ifPlus(isZero(x),x,inc(y)) 2: ifPlus(true(),x,y) -> p(y) 3: ifPlus(false(),x,y) -> plus(p(x),y) 4: times(x,y) -> timesIter(0(),x,y,0()) 5: timesIter(i,x,y,z) -> ifTimes(ge(i,x),i,x,y,z) 6: ifTimes(true(),i,x,y,z) -> z 7: ifTimes(false(),i,x,y,z) -> timesIter(inc(i),x,y,plus(z,y)) 8: isZero^1_0() -> true() 9: isZero^1_s(0()) -> false() 10: isZero^1_s(s(x)) -> isZero^1_s(x) 11: inc(0()) -> s(0()) 12: inc(s(x)) -> s(inc(x)) 13: inc(x) -> s(x) 14: p^1_0() -> 0() 15: p^1_s(x) -> x 16: p^1_s(s(x)) -> s(p^1_s(x)) 17: ge(x,0()) -> true() 18: ge(0(),s(y)) -> false() 19: ge(s(x),s(y)) -> ge(x,y) 20: f0(0(),y,x) -> f1(x,y,x) 21: f1(x,y,z) -> f2(x,y,z) 22: f2(x,1(),z) -> f0(x,z,z) 23: f0(x,y,z) -> d() 24: f1(x,y,z) -> c() 25: p(0()) ->= p^1_0() 26: p(s(_1)) ->= p^1_s(_1) 27: isZero(0()) ->= isZero^1_0() 28: isZero(s(_1)) ->= isZero^1_s(_1) Number of strict rules: 24 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #ifPlus(true(),x,y) -> #p(y) #2: #inc(s(x)) -> #inc(x) #3: #p(0()) ->? #p^1_0() #4: #f0(0(),y,x) -> #f1(x,y,x) #5: #ifTimes(false(),i,x,y,z) -> #timesIter(inc(i),x,y,plus(z,y)) #6: #ifTimes(false(),i,x,y,z) -> #inc(i) #7: #ifTimes(false(),i,x,y,z) -> #plus(z,y) #8: #isZero^1_s(s(x)) -> #isZero^1_s(x) #9: #timesIter(i,x,y,z) -> #ifTimes(ge(i,x),i,x,y,z) #10: #timesIter(i,x,y,z) -> #ge(i,x) #11: #isZero(s(_1)) ->? #isZero^1_s(_1) #12: #f2(x,1(),z) -> #f0(x,z,z) #13: #isZero(0()) ->? #isZero^1_0() #14: #ge(s(x),s(y)) -> #ge(x,y) #15: #p(s(_1)) ->? #p^1_s(_1) #16: #f1(x,y,z) -> #f2(x,y,z) #17: #p^1_s(s(x)) -> #p^1_s(x) #18: #ifPlus(false(),x,y) -> #plus(p(x),y) #19: #ifPlus(false(),x,y) -> #p(x) #20: #plus(x,y) -> #ifPlus(isZero(x),x,inc(y)) #21: #plus(x,y) -> #isZero(x) #22: #plus(x,y) -> #inc(y) #23: #times(x,y) -> #timesIter(0(),x,y,0()) Number of SCCs: 7, DPs: 11 SCC { #8 } POLO(Sum)... succeeded. ifTimes w: 0 1 w: 0 d w: 0 timesIter w: 0 s w: x1 + 1 #p^1_0 w: 0 #isZero w: 0 #f2 w: 0 #p^1_s w: 0 #timesIter w: 0 p^1_0 w: 0 #plus w: 0 false w: 0 p^1_s w: 0 popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Standard