details

property	value
status	complete
benchmark	Ex8_BLR02_Z.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n173.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0204261 seconds
cpu usage	0.020981
user time	0.009163
system time	0.011818
max virtual memory	113188.0
max residence set size	5364.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S N:S X:S X1:S X2:S XS:S Y:S) (RULES activate(n__fib1(X1:S,X2:S)) -> fib1(X1:S,X2:S) activate(X:S) -> X:S add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fib(N:S) -> sel(N:S,fib1(s(0),s(0))) fib1(X:S,Y:S) -> cons(X:S,n__fib1(Y:S,add(X:S,Y:S))) fib1(X1:S,X2:S) -> n__fib1(X1:S,X2:S) sel(0,cons(X:S,XS:S)) -> X:S sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,activate(XS:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__fib1(X1:S,X2:S)) -> FIB1(X1:S,X2:S) ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) FIB(N:S) -> FIB1(s(0),s(0)) FIB(N:S) -> SEL(N:S,fib1(s(0),s(0))) FIB1(X:S,Y:S) -> ADD(X:S,Y:S) SEL(s(N:S),cons(X:S,XS:S)) -> ACTIVATE(XS:S) SEL(s(N:S),cons(X:S,XS:S)) -> SEL(N:S,activate(XS:S)) -> Rules: activate(n__fib1(X1:S,X2:S)) -> fib1(X1:S,X2:S) activate(X:S) -> X:S add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fib(N:S) -> sel(N:S,fib1(s(0),s(0))) fib1(X:S,Y:S) -> cons(X:S,n__fib1(Y:S,add(X:S,Y:S))) fib1(X1:S,X2:S) -> n__fib1(X1:S,X2:S) sel(0,cons(X:S,XS:S)) -> X:S sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,activate(XS:S)) Problem 1: SCC Processor: -> Pairs: ACTIVATE(n__fib1(X1:S,X2:S)) -> FIB1(X1:S,X2:S) ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) FIB(N:S) -> FIB1(s(0),s(0)) FIB(N:S) -> SEL(N:S,fib1(s(0),s(0))) FIB1(X:S,Y:S) -> ADD(X:S,Y:S) SEL(s(N:S),cons(X:S,XS:S)) -> ACTIVATE(XS:S) SEL(s(N:S),cons(X:S,XS:S)) -> SEL(N:S,activate(XS:S)) -> Rules: activate(n__fib1(X1:S,X2:S)) -> fib1(X1:S,X2:S) activate(X:S) -> X:S add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fib(N:S) -> sel(N:S,fib1(s(0),s(0))) fib1(X:S,Y:S) -> cons(X:S,n__fib1(Y:S,add(X:S,Y:S))) fib1(X1:S,X2:S) -> n__fib1(X1:S,X2:S) sel(0,cons(X:S,XS:S)) -> X:S sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,activate(XS:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) ->->-> Rules: activate(n__fib1(X1:S,X2:S)) -> fib1(X1:S,X2:S) activate(X:S) -> X:S add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fib(N:S) -> sel(N:S,fib1(s(0),s(0))) fib1(X:S,Y:S) -> cons(X:S,n__fib1(Y:S,add(X:S,Y:S))) fib1(X1:S,X2:S) -> n__fib1(X1:S,X2:S) sel(0,cons(X:S,XS:S)) -> X:S sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,activate(XS:S)) ->->Cycle: ->->-> Pairs: SEL(s(N:S),cons(X:S,XS:S)) -> SEL(N:S,activate(XS:S)) ->->-> Rules: activate(n__fib1(X1:S,X2:S)) -> fib1(X1:S,X2:S) activate(X:S) -> X:S add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fib(N:S) -> sel(N:S,fib1(s(0),s(0))) fib1(X:S,Y:S) -> cons(X:S,n__fib1(Y:S,add(X:S,Y:S))) fib1(X1:S,X2:S) -> n__fib1(X1:S,X2:S) sel(0,cons(X:S,XS:S)) -> X:S sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,activate(XS:S)) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) -> Rules: activate(n__fib1(X1:S,X2:S)) -> fib1(X1:S,X2:S) activate(X:S) -> X:S add(0,X:S) -> X:S popout

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