details

property	value
status	complete
benchmark	Ex4_7_15_Bor03_Z.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n181.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0481639 seconds
cpu usage	0.037307
user time	0.015738
system time	0.021569
max virtual memory	113188.0
max residence set size	4716.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S X:S) (RULES activate(n__f(X:S)) -> f(X:S) activate(X:S) -> X:S f(0) -> cons(0,n__f(s(0))) f(s(0)) -> f(p(s(0))) f(X:S) -> n__f(X:S) p(s(0)) -> 0 ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__f(X:S)) -> F(X:S) F(s(0)) -> F(p(s(0))) F(s(0)) -> P(s(0)) -> Rules: activate(n__f(X:S)) -> f(X:S) activate(X:S) -> X:S f(0) -> cons(0,n__f(s(0))) f(s(0)) -> f(p(s(0))) f(X:S) -> n__f(X:S) p(s(0)) -> 0 Problem 1: SCC Processor: -> Pairs: ACTIVATE(n__f(X:S)) -> F(X:S) F(s(0)) -> F(p(s(0))) F(s(0)) -> P(s(0)) -> Rules: activate(n__f(X:S)) -> f(X:S) activate(X:S) -> X:S f(0) -> cons(0,n__f(s(0))) f(s(0)) -> f(p(s(0))) f(X:S) -> n__f(X:S) p(s(0)) -> 0 ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(s(0)) -> F(p(s(0))) ->->-> Rules: activate(n__f(X:S)) -> f(X:S) activate(X:S) -> X:S f(0) -> cons(0,n__f(s(0))) f(s(0)) -> f(p(s(0))) f(X:S) -> n__f(X:S) p(s(0)) -> 0 Problem 1: Reduction Pair Processor: -> Pairs: F(s(0)) -> F(p(s(0))) -> Rules: activate(n__f(X:S)) -> f(X:S) activate(X:S) -> X:S f(0) -> cons(0,n__f(s(0))) f(s(0)) -> f(p(s(0))) f(X:S) -> n__f(X:S) p(s(0)) -> 0 -> Usable rules: p(s(0)) -> 0 ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [p](X) = 2 [0] = 2 [s](X) = 2.X + 2 [F](X) = 2.X Problem 1: SCC Processor: -> Pairs: Empty -> Rules: activate(n__f(X:S)) -> f(X:S) activate(X:S) -> X:S f(0) -> cons(0,n__f(s(0))) f(s(0)) -> f(p(s(0))) f(X:S) -> n__f(X:S) p(s(0)) -> 0 ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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job log

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actions

all output return to TRS Standard