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SRS Standard pair #487519501
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
n130.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.129281997681 seconds
cpu usage
0.067617221
max memory
3883008.0
stage attributes
key
value
output-size
2422
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 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)
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