details

property	value
status	complete
benchmark	Ex8_BLR02.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n139.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.0177909 seconds
cpu usage	0.018299
user time	0.007586
system time	0.010713
max virtual memory	113188.0
max residence set size	5060.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR N X XS Y) (STRATEGY CONTEXTSENSITIVE (add 1 2) (fib 1) (fib1 1 2) (sel 1 2) (0) (cons 1) (s 1) ) (RULES add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) fib(N) -> sel(N,fib1(s(0),s(0))) fib1(X,Y) -> cons(X,fib1(Y,add(X,Y))) sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) ) Problem 1: Innermost Equivalent Processor: -> Rules: add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) fib(N) -> sel(N,fib1(s(0),s(0))) fib1(X,Y) -> cons(X,fib1(Y,add(X,Y))) sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: ADD(s(X),Y) -> ADD(X,Y) FIB(N) -> FIB1(s(0),s(0)) FIB(N) -> SEL(N,fib1(s(0),s(0))) SEL(s(N),cons(X,XS)) -> SEL(N,XS) SEL(s(N),cons(X,XS)) -> XS -> Rules: add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) fib(N) -> sel(N,fib1(s(0),s(0))) fib1(X,Y) -> cons(X,fib1(Y,add(X,Y))) sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) -> Unhiding Rules: fib1(Y,add(X,Y)) -> ADD(X,Y) fib1(Y,add(X,Y)) -> FIB1(Y,add(X,Y)) Problem 1: SCC Processor: -> Pairs: ADD(s(X),Y) -> ADD(X,Y) FIB(N) -> FIB1(s(0),s(0)) FIB(N) -> SEL(N,fib1(s(0),s(0))) SEL(s(N),cons(X,XS)) -> SEL(N,XS) SEL(s(N),cons(X,XS)) -> XS -> Rules: add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) fib(N) -> sel(N,fib1(s(0),s(0))) fib1(X,Y) -> cons(X,fib1(Y,add(X,Y))) sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) -> Unhiding rules: fib1(Y,add(X,Y)) -> ADD(X,Y) fib1(Y,add(X,Y)) -> FIB1(Y,add(X,Y)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: ADD(s(X),Y) -> ADD(X,Y) ->->-> Rules: add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) fib(N) -> sel(N,fib1(s(0),s(0))) fib1(X,Y) -> cons(X,fib1(Y,add(X,Y))) sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) ->->-> Unhiding rules: Empty ->->Cycle: ->->-> Pairs: SEL(s(N),cons(X,XS)) -> SEL(N,XS) ->->-> Rules: add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) fib(N) -> sel(N,fib1(s(0),s(0))) fib1(X,Y) -> cons(X,fib1(Y,add(X,Y))) sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) ->->-> Unhiding rules: Empty popout

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actions

all output return to TRS Contextsensitive