details

property	value
status	complete
benchmark	qsort.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n187.star.cs.uiowa.edu
space	AProVE_09_Inductive

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.450601 seconds
cpu usage	0.074414
user time	0.04604
system time	0.028374
max virtual memory	113188.0
max residence set size	9304.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE Input TRS: 1: qsort(nil()) -> nil() 2: qsort(cons(x,xs)) -> append(qsort(filterlow(x,cons(x,xs))),cons(x,qsort(filterhigh(x,cons(x,xs))))) 3: filterlow(n,nil()) -> nil() 4: filterlow(n,cons(x,xs)) -> if1(ge(n,x),n,x,xs) 5: if1(true(),n,x,xs) -> filterlow(n,xs) 6: if1(false(),n,x,xs) -> cons(x,filterlow(n,xs)) 7: filterhigh(n,nil()) -> nil() 8: filterhigh(n,cons(x,xs)) -> if2(ge(x,n),n,x,xs) 9: if2(true(),n,x,xs) -> filterhigh(n,xs) 10: if2(false(),n,x,xs) -> cons(x,filterhigh(n,xs)) 11: ge(x,0()) -> true() 12: ge(0(),s(x)) -> false() 13: ge(s(x),s(y)) -> ge(x,y) 14: append(nil(),ys()) -> ys() 15: append(cons(x,xs),ys()) -> cons(x,append(xs,ys())) Number of strict rules: 15 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #qsort(cons(x,xs)) -> #append(qsort(filterlow(x,cons(x,xs))),cons(x,qsort(filterhigh(x,cons(x,xs))))) #2: #qsort(cons(x,xs)) -> #qsort(filterlow(x,cons(x,xs))) #3: #qsort(cons(x,xs)) -> #filterlow(x,cons(x,xs)) #4: #qsort(cons(x,xs)) -> #qsort(filterhigh(x,cons(x,xs))) #5: #qsort(cons(x,xs)) -> #filterhigh(x,cons(x,xs)) #6: #if1(false(),n,x,xs) -> #filterlow(n,xs) #7: #ge(s(x),s(y)) -> #ge(x,y) #8: #if2(true(),n,x,xs) -> #filterhigh(n,xs) #9: #if2(false(),n,x,xs) -> #filterhigh(n,xs) #10: #if1(true(),n,x,xs) -> #filterlow(n,xs) #11: #filterhigh(n,cons(x,xs)) -> #if2(ge(x,n),n,x,xs) #12: #filterhigh(n,cons(x,xs)) -> #ge(x,n) #13: #append(cons(x,xs),ys()) -> #append(xs,ys()) #14: #filterlow(n,cons(x,xs)) -> #if1(ge(n,x),n,x,xs) #15: #filterlow(n,cons(x,xs)) -> #ge(n,x) Number of SCCs: 5, DPs: 10 SCC { #13 } POLO(Sum)... succeeded. s w: 0 #append w: x1 if1 w: 0 false w: 0 #ge w: 0 filterlow w: 0 qsort w: 0 true w: 0 #if1 w: 0 if2 w: 0 #qsort w: 0 append w: 0 0 w: 0 ge w: 0 nil w: 0 #filterlow w: 0 cons w: x2 + 1 filterhigh w: 0 ys w: 0 #filterhigh w: 0 #if2 w: 0 USABLE RULES: { } Removed DPs: #13 Number of SCCs: 4, DPs: 9 SCC { #7 } POLO(Sum)... succeeded. s w: x1 + 1 #append w: 0 if1 w: 0 false w: 0 #ge w: x2 filterlow w: 0 qsort w: 0 true w: 0 #if1 w: 0 if2 w: 0 #qsort w: 0 append w: 0 0 w: 0 ge w: 0 nil w: 0 #filterlow w: 0 cons w: 1 filterhigh w: 0 ys w: 0 #filterhigh w: 0 #if2 w: 0 USABLE RULES: { } Removed DPs: #7 Number of SCCs: 3, DPs: 8 SCC { #2 #4 } 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