details

property	value
status	complete
benchmark	z116.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.827881 seconds
cpu usage	0.750809
user time	0.47811
system time	0.272699
max virtual memory	452896.0
max residence set size	5756.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES a(a(a(x1:S))) -> b(b(x1:S)) b(b(b(x1:S))) -> c(d(x1:S)) c(x1:S) -> a(a(x1:S)) d(x1:S) -> c(x1:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(a(a(x1:S))) -> B(b(x1:S)) A(a(a(x1:S))) -> B(x1:S) B(b(b(x1:S))) -> C(d(x1:S)) B(b(b(x1:S))) -> D(x1:S) C(x1:S) -> A(a(x1:S)) C(x1:S) -> A(x1:S) D(x1:S) -> C(x1:S) -> Rules: a(a(a(x1:S))) -> b(b(x1:S)) b(b(b(x1:S))) -> c(d(x1:S)) c(x1:S) -> a(a(x1:S)) d(x1:S) -> c(x1:S) Problem 1: SCC Processor: -> Pairs: A(a(a(x1:S))) -> B(b(x1:S)) A(a(a(x1:S))) -> B(x1:S) B(b(b(x1:S))) -> C(d(x1:S)) B(b(b(x1:S))) -> D(x1:S) C(x1:S) -> A(a(x1:S)) C(x1:S) -> A(x1:S) D(x1:S) -> C(x1:S) -> Rules: a(a(a(x1:S))) -> b(b(x1:S)) b(b(b(x1:S))) -> c(d(x1:S)) c(x1:S) -> a(a(x1:S)) d(x1:S) -> c(x1:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(a(a(x1:S))) -> B(b(x1:S)) A(a(a(x1:S))) -> B(x1:S) B(b(b(x1:S))) -> C(d(x1:S)) B(b(b(x1:S))) -> D(x1:S) C(x1:S) -> A(a(x1:S)) C(x1:S) -> A(x1:S) D(x1:S) -> C(x1:S) ->->-> Rules: a(a(a(x1:S))) -> b(b(x1:S)) b(b(b(x1:S))) -> c(d(x1:S)) c(x1:S) -> a(a(x1:S)) d(x1:S) -> c(x1:S) Problem 1: Reduction Pair Processor: -> Pairs: A(a(a(x1:S))) -> B(b(x1:S)) A(a(a(x1:S))) -> B(x1:S) B(b(b(x1:S))) -> C(d(x1:S)) B(b(b(x1:S))) -> D(x1:S) C(x1:S) -> A(a(x1:S)) C(x1:S) -> A(x1:S) D(x1:S) -> C(x1:S) -> Rules: a(a(a(x1:S))) -> b(b(x1:S)) b(b(b(x1:S))) -> c(d(x1:S)) c(x1:S) -> a(a(x1:S)) d(x1:S) -> c(x1:S) -> Usable rules: a(a(a(x1:S))) -> b(b(x1:S)) b(b(b(x1:S))) -> c(d(x1:S)) c(x1:S) -> a(a(x1:S)) d(x1:S) -> c(x1:S) ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 4 ->Interpretation: [a](X) = X + 1/3 [b](X) = X + 1/2 [c](X) = X + 2/3 [d](X) = X + 2/3 [A](X) = 1/2.X + 1/3 [B](X) = 1/2.X + 1/3 [C](X) = 1/2.X + 1/2 [D](X) = 1/2.X + 3/4 popout

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

job log

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actions

all output return to SRS Standard