details

property	value
status	complete
benchmark	thiemann41.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n180.star.cs.uiowa.edu
space	AProVE_07

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.200109 seconds
cpu usage	0.05581
user time	0.031156
system time	0.024654
max virtual memory	113188.0
max residence set size	7060.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE Input TRS: 1: times(x,y) -> sum(generate(x,y)) 2: generate(x,y) -> gen(x,y,0()) 3: gen(x,y,z) -> if(ge(z,x),x,y,z) 4: if(true(),x,y,z) -> nil() 5: if(false(),x,y,z) -> cons(y,gen(x,y,s(z))) 6: sum(nil()) -> 0() 7: sum(cons(0(),xs)) -> sum(xs) 8: sum(cons(s(x),xs)) -> s(sum(cons(x,xs))) 9: ge(x,0()) -> true() 10: ge(0(),s(y)) -> false() 11: ge(s(x),s(y)) -> ge(x,y) Number of strict rules: 11 Direct POLO(bPol) ... failed. Uncurrying sum 1: times(x,y) -> sum(generate(x,y)) 2: generate(x,y) -> gen(x,y,0()) 3: gen(x,y,z) -> if(ge(z,x),x,y,z) 4: if(true(),x,y,z) -> nil() 5: if(false(),x,y,z) -> cons(y,gen(x,y,s(z))) 6: sum^1_nil() -> 0() 7: sum^1_cons(0(),xs) -> sum(xs) 8: sum^1_cons(s(x),xs) -> s(sum^1_cons(x,xs)) 9: ge(x,0()) -> true() 10: ge(0(),s(y)) -> false() 11: ge(s(x),s(y)) -> ge(x,y) 12: sum(cons(_1,_2)) ->= sum^1_cons(_1,_2) 13: sum(nil()) ->= sum^1_nil() Number of strict rules: 11 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #generate(x,y) -> #gen(x,y,0()) #2: #sum(nil()) ->? #sum^1_nil() #3: #ge(s(x),s(y)) -> #ge(x,y) #4: #sum(cons(_1,_2)) ->? #sum^1_cons(_1,_2) #5: #sum^1_cons(0(),xs) -> #sum(xs) #6: #if(false(),x,y,z) -> #gen(x,y,s(z)) #7: #gen(x,y,z) -> #if(ge(z,x),x,y,z) #8: #gen(x,y,z) -> #ge(z,x) #9: #times(x,y) -> #sum(generate(x,y)) #10: #times(x,y) -> #generate(x,y) #11: #sum^1_cons(s(x),xs) -> #sum^1_cons(x,xs) Number of SCCs: 3, DPs: 6 SCC { #3 } POLO(Sum)... succeeded. s w: x1 + 1 #generate w: 0 sum^1_cons w: 0 #sum^1_nil w: 0 false w: 0 #ge w: x1 + x2 true w: 0 sum w: 0 #times w: 0 0 w: 0 if w: 0 ge w: 0 times w: 0 sum^1_nil w: 0 nil w: 0 #gen w: 0 #sum^1_cons w: 0 gen w: 0 generate w: 0 cons w: 0 #if w: 0 #sum w: 0 USABLE RULES: { } Removed DPs: #3 Number of SCCs: 2, DPs: 5 SCC { #4 #5 #11 } POLO(Sum)... succeeded. s w: 1 #generate w: 0 sum^1_cons w: 0 #sum^1_nil w: 0 false w: 0 #ge w: 0 true w: 0 sum w: 0 #times w: 0 0 w: 1 if w: 0 ge w: 0 times w: 0 sum^1_nil w: 0 nil w: 0 #gen w: 0 #sum^1_cons w: x2 + 1 gen w: 0 generate w: 0 cons w: x2 + 2 #if w: 0 #sum w: x1 USABLE RULES: { } Removed DPs: #4 #5 Number of SCCs: 2, DPs: 3 SCC { #11 } POLO(Sum)... succeeded. popout

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job log

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actions

all output return to TRS Standard