details

property	value
status	complete
benchmark	4.12.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n112.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.0323729515076 seconds
cpu usage	0.029479705
max memory	3194880.0

stage attributes

key	value
output-size	1791
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x y) (RULES +(0,y) -> y +(s(x),0) -> s(x) +(s(x),s(y)) -> s(+(s(x),+(y,0))) ) Problem 1: Innermost Equivalent Processor: -> Rules: +(0,y) -> y +(s(x),0) -> s(x) +(s(x),s(y)) -> s(+(s(x),+(y,0))) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: +#(s(x),s(y)) -> +#(s(x),+(y,0)) +#(s(x),s(y)) -> +#(y,0) -> Rules: +(0,y) -> y +(s(x),0) -> s(x) +(s(x),s(y)) -> s(+(s(x),+(y,0))) Problem 1: SCC Processor: -> Pairs: +#(s(x),s(y)) -> +#(s(x),+(y,0)) +#(s(x),s(y)) -> +#(y,0) -> Rules: +(0,y) -> y +(s(x),0) -> s(x) +(s(x),s(y)) -> s(+(s(x),+(y,0))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: +#(s(x),s(y)) -> +#(s(x),+(y,0)) ->->-> Rules: +(0,y) -> y +(s(x),0) -> s(x) +(s(x),s(y)) -> s(+(s(x),+(y,0))) Problem 1: Reduction Pairs Processor: -> Pairs: +#(s(x),s(y)) -> +#(s(x),+(y,0)) -> Rules: +(0,y) -> y +(s(x),0) -> s(x) +(s(x),s(y)) -> s(+(s(x),+(y,0))) -> Usable rules: +(0,y) -> y +(s(x),0) -> s(x) +(s(x),s(y)) -> s(+(s(x),+(y,0))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [+](X1,X2) = X1 + 2.X2 + 1 [0] = 0 [s](X) = X + 2 [+#](X1,X2) = X2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: +(0,y) -> y +(s(x),0) -> s(x) +(s(x),s(y)) -> s(+(s(x),+(y,0))) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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