details

property	value
status	complete
benchmark	jones5.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	Mixed_TRS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0510459 seconds
cpu usage	0.036948
user time	0.015508
system time	0.02144
max virtual memory	113188.0
max residence set size	4672.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S a:S k:S x:S y:S) (RULES f(cons(a:S,k:S),y:S) -> f(y:S,k:S) f(empty,cons(a:S,k:S)) -> f(cons(a:S,k:S),k:S) f(x:S,empty) -> x:S ) Problem 1: Dependency Pairs Processor: -> Pairs: F(cons(a:S,k:S),y:S) -> F(y:S,k:S) F(empty,cons(a:S,k:S)) -> F(cons(a:S,k:S),k:S) -> Rules: f(cons(a:S,k:S),y:S) -> f(y:S,k:S) f(empty,cons(a:S,k:S)) -> f(cons(a:S,k:S),k:S) f(x:S,empty) -> x:S Problem 1: SCC Processor: -> Pairs: F(cons(a:S,k:S),y:S) -> F(y:S,k:S) F(empty,cons(a:S,k:S)) -> F(cons(a:S,k:S),k:S) -> Rules: f(cons(a:S,k:S),y:S) -> f(y:S,k:S) f(empty,cons(a:S,k:S)) -> f(cons(a:S,k:S),k:S) f(x:S,empty) -> x:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(cons(a:S,k:S),y:S) -> F(y:S,k:S) F(empty,cons(a:S,k:S)) -> F(cons(a:S,k:S),k:S) ->->-> Rules: f(cons(a:S,k:S),y:S) -> f(y:S,k:S) f(empty,cons(a:S,k:S)) -> f(cons(a:S,k:S),k:S) f(x:S,empty) -> x:S Problem 1: Reduction Pair Processor: -> Pairs: F(cons(a:S,k:S),y:S) -> F(y:S,k:S) F(empty,cons(a:S,k:S)) -> F(cons(a:S,k:S),k:S) -> Rules: f(cons(a:S,k:S),y:S) -> f(y:S,k:S) f(empty,cons(a:S,k:S)) -> f(cons(a:S,k:S),k:S) f(x:S,empty) -> x:S -> Usable rules: Empty ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [cons](X1,X2) = 2.X1 + 2.X2 + 2 [empty] = 0 [F](X1,X2) = X1 + 2.X2 Problem 1: SCC Processor: -> Pairs: F(empty,cons(a:S,k:S)) -> F(cons(a:S,k:S),k:S) -> Rules: f(cons(a:S,k:S),y:S) -> f(y:S,k:S) f(empty,cons(a:S,k:S)) -> f(cons(a:S,k:S),k:S) f(x:S,empty) -> x:S ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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