details

property	value
status	complete
benchmark	Ex14_AEGL02.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n145.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.0517429 seconds
cpu usage	0.0311
user time	0.011685
system time	0.019415
max virtual memory	113188.0
max residence set size	4364.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR X Y) (STRATEGY CONTEXTSENSITIVE (from 1) (length) (length1) (0) (cons 1) (nil) (s 1) ) (RULES from(X) -> cons(X,from(s(X))) length(cons(X,Y)) -> s(length1(Y)) length(nil) -> 0 length1(X) -> length(X) ) Problem 1: Innermost Equivalent Processor: -> Rules: from(X) -> cons(X,from(s(X))) length(cons(X,Y)) -> s(length1(Y)) length(nil) -> 0 length1(X) -> length(X) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: LENGTH(cons(X,Y)) -> LENGTH1(Y) LENGTH1(X) -> LENGTH(X) -> Rules: from(X) -> cons(X,from(s(X))) length(cons(X,Y)) -> s(length1(Y)) length(nil) -> 0 length1(X) -> length(X) -> Unhiding Rules: Empty Problem 1: SCC Processor: -> Pairs: LENGTH(cons(X,Y)) -> LENGTH1(Y) LENGTH1(X) -> LENGTH(X) -> Rules: from(X) -> cons(X,from(s(X))) length(cons(X,Y)) -> s(length1(Y)) length(nil) -> 0 length1(X) -> length(X) -> Unhiding rules: Empty ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: LENGTH(cons(X,Y)) -> LENGTH1(Y) LENGTH1(X) -> LENGTH(X) ->->-> Rules: from(X) -> cons(X,from(s(X))) length(cons(X,Y)) -> s(length1(Y)) length(nil) -> 0 length1(X) -> length(X) ->->-> Unhiding rules: Empty Problem 1: Reduction Pairs Processor: -> Pairs: LENGTH(cons(X,Y)) -> LENGTH1(Y) LENGTH1(X) -> LENGTH(X) -> Rules: from(X) -> cons(X,from(s(X))) length(cons(X,Y)) -> s(length1(Y)) length(nil) -> 0 length1(X) -> length(X) -> Unhiding rules: Empty -> Usable rules: Empty ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [cons](X1,X2) = 2.X2 + 2 [LENGTH](X) = 2.X + 2 [LENGTH1](X) = 2.X + 2 popout

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