details

property	value
status	complete
benchmark	z004.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n150.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.134016 seconds
cpu usage	0.119364
user time	0.062816
system time	0.056548
max virtual memory	113188.0
max residence set size	5416.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES a(b(a(a(x1:S)))) -> c(b(a(b(a(x1:S))))) a(c(b(x1:S))) -> a(a(b(c(b(a(x1:S)))))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(b(a(a(x1:S)))) -> A(b(a(x1:S))) A(c(b(x1:S))) -> A(a(b(c(b(a(x1:S)))))) A(c(b(x1:S))) -> A(b(c(b(a(x1:S))))) A(c(b(x1:S))) -> A(x1:S) -> Rules: a(b(a(a(x1:S)))) -> c(b(a(b(a(x1:S))))) a(c(b(x1:S))) -> a(a(b(c(b(a(x1:S)))))) Problem 1: SCC Processor: -> Pairs: A(b(a(a(x1:S)))) -> A(b(a(x1:S))) A(c(b(x1:S))) -> A(a(b(c(b(a(x1:S)))))) A(c(b(x1:S))) -> A(b(c(b(a(x1:S))))) A(c(b(x1:S))) -> A(x1:S) -> Rules: a(b(a(a(x1:S)))) -> c(b(a(b(a(x1:S))))) a(c(b(x1:S))) -> a(a(b(c(b(a(x1:S)))))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(b(a(a(x1:S)))) -> A(b(a(x1:S))) ->->-> Rules: a(b(a(a(x1:S)))) -> c(b(a(b(a(x1:S))))) a(c(b(x1:S))) -> a(a(b(c(b(a(x1:S)))))) ->->Cycle: ->->-> Pairs: A(c(b(x1:S))) -> A(x1:S) ->->-> Rules: a(b(a(a(x1:S)))) -> c(b(a(b(a(x1:S))))) a(c(b(x1:S))) -> a(a(b(c(b(a(x1:S)))))) The problem is decomposed in 2 subproblems. Problem 1.1: Reduction Pair Processor: -> Pairs: A(b(a(a(x1:S)))) -> A(b(a(x1:S))) -> Rules: a(b(a(a(x1:S)))) -> c(b(a(b(a(x1:S))))) a(c(b(x1:S))) -> a(a(b(c(b(a(x1:S)))))) -> Usable rules: a(b(a(a(x1:S)))) -> c(b(a(b(a(x1:S))))) a(c(b(x1:S))) -> a(a(b(c(b(a(x1:S)))))) ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = X + 1/2 [b](X) = 1/2.X [c](X) = 1 [A](X) = 1/2.X Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: a(b(a(a(x1:S)))) -> c(b(a(b(a(x1:S))))) a(c(b(x1:S))) -> a(a(b(c(b(a(x1:S)))))) ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: Subterm Processor: -> Pairs: A(c(b(x1:S))) -> A(x1:S) -> Rules: a(b(a(a(x1:S)))) -> c(b(a(b(a(x1:S))))) a(c(b(x1:S))) -> a(a(b(c(b(a(x1:S)))))) ->Projection: pi(A) = 1 popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to SRS Standard