details

property	value
status	complete
benchmark	thiemann07.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n175.star.cs.uiowa.edu
space	AProVE_07

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.274885 seconds
cpu usage	0.068346
user time	0.043509
system time	0.024837
max virtual memory	113188.0
max residence set size	7076.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: car(cons(x,l)) -> x 2: cddr(nil()) -> nil() 3: cddr(cons(x,nil())) -> nil() 4: cddr(cons(x,cons(y,l))) -> l 5: cadr(cons(x,cons(y,l))) -> y 6: isZero(0()) -> true() 7: isZero(s(x)) -> false() 8: plus(x,y) -> ifplus(isZero(x),x,y) 9: ifplus(true(),x,y) -> y 10: ifplus(false(),x,y) -> s(plus(p(x),y)) 11: times(x,y) -> iftimes(isZero(x),x,y) 12: iftimes(true(),x,y) -> 0() 13: iftimes(false(),x,y) -> plus(y,times(p(x),y)) 14: p(s(x)) -> x 15: p(0()) -> 0() 16: shorter(nil(),y) -> true() 17: shorter(cons(x,l),0()) -> false() 18: shorter(cons(x,l),s(y)) -> shorter(l,y) 19: prod(l) -> if(shorter(l,0()),shorter(l,s(0())),l) 20: if(true(),b,l) -> s(0()) 21: if(false(),b,l) -> if2(b,l) 22: if2(true(),l) -> car(l) 23: if2(false(),l) -> prod(cons(times(car(l),cadr(l)),cddr(l))) Number of strict rules: 23 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #iftimes(false(),x,y) -> #plus(y,times(p(x),y)) #2: #iftimes(false(),x,y) -> #times(p(x),y) #3: #iftimes(false(),x,y) -> #p(x) #4: #times(x,y) -> #iftimes(isZero(x),x,y) #5: #times(x,y) -> #isZero(x) #6: #if2(false(),l) -> #prod(cons(times(car(l),cadr(l)),cddr(l))) #7: #if2(false(),l) -> #times(car(l),cadr(l)) #8: #if2(false(),l) -> #car(l) #9: #if2(false(),l) -> #cadr(l) #10: #if2(false(),l) -> #cddr(l) #11: #ifplus(false(),x,y) -> #plus(p(x),y) #12: #ifplus(false(),x,y) -> #p(x) #13: #if2(true(),l) -> #car(l) #14: #prod(l) -> #if(shorter(l,0()),shorter(l,s(0())),l) #15: #prod(l) -> #shorter(l,0()) #16: #prod(l) -> #shorter(l,s(0())) #17: #if(false(),b,l) -> #if2(b,l) #18: #plus(x,y) -> #ifplus(isZero(x),x,y) #19: #plus(x,y) -> #isZero(x) #20: #shorter(cons(x,l),s(y)) -> #shorter(l,y) Number of SCCs: 4, DPs: 8 SCC { #20 } POLO(Sum)... succeeded. prod w: 0 s w: x1 + 1 iftimes w: 0 #isZero w: 0 #prod w: 0 #cadr w: 0 cddr w: 0 #plus w: 0 false w: 0 #p w: 0 true w: 0 #shorter w: x1 + x2 #iftimes w: 0 if2 w: 0 ifplus w: 0 p w: 0 #times w: 0 0 w: 0 if w: 0 shorter w: 0 times w: 0 nil w: 0 #ifplus w: 0 plus w: 0 #cddr w: 0 cons w: x2 + 28958 #if w: 0 isZero w: 0 cadr w: 0 #car w: 0 #if2 w: 0 car w: 0 USABLE RULES: { } Removed DPs: #20 Number of SCCs: 3, DPs: 7 SCC { #2 #4 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. prod w: 0 s w: max(x1 + 7722, 0) iftimes w: 0 #isZero w: 0 #prod w: 0 #cadr w: 0 cddr w: max(x1 - 1, 0) #plus w: 0 false w: 1 #p w: 0 true w: 0 popout

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

job log

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actions

all output return to TRS Standard