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SRS Standard pair #516976698
details
property
value
status
complete
benchmark
random-376.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n087.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.206529855728 seconds
cpu usage
0.123445459
max memory
3878912.0
stage attributes
key
value
output-size
7309
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(b(x1:S)))) -> b(b(a(a(x1:S)))) a(b(b(b(x1:S)))) -> b(a(a(b(x1:S)))) b(a(a(a(x1:S)))) -> b(b(a(a(x1:S)))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(b(a(b(x1:S)))) -> A(a(x1:S)) A(b(a(b(x1:S)))) -> A(x1:S) A(b(a(b(x1:S)))) -> B(a(a(x1:S))) A(b(a(b(x1:S)))) -> B(b(a(a(x1:S)))) A(b(b(b(x1:S)))) -> A(a(b(x1:S))) A(b(b(b(x1:S)))) -> A(b(x1:S)) A(b(b(b(x1:S)))) -> B(a(a(b(x1:S)))) B(a(a(a(x1:S)))) -> B(a(a(x1:S))) B(a(a(a(x1:S)))) -> B(b(a(a(x1:S)))) -> Rules: a(b(a(b(x1:S)))) -> b(b(a(a(x1:S)))) a(b(b(b(x1:S)))) -> b(a(a(b(x1:S)))) b(a(a(a(x1:S)))) -> b(b(a(a(x1:S)))) Problem 1: SCC Processor: -> Pairs: A(b(a(b(x1:S)))) -> A(a(x1:S)) A(b(a(b(x1:S)))) -> A(x1:S) A(b(a(b(x1:S)))) -> B(a(a(x1:S))) A(b(a(b(x1:S)))) -> B(b(a(a(x1:S)))) A(b(b(b(x1:S)))) -> A(a(b(x1:S))) A(b(b(b(x1:S)))) -> A(b(x1:S)) A(b(b(b(x1:S)))) -> B(a(a(b(x1:S)))) B(a(a(a(x1:S)))) -> B(a(a(x1:S))) B(a(a(a(x1:S)))) -> B(b(a(a(x1:S)))) -> Rules: a(b(a(b(x1:S)))) -> b(b(a(a(x1:S)))) a(b(b(b(x1:S)))) -> b(a(a(b(x1:S)))) b(a(a(a(x1:S)))) -> b(b(a(a(x1:S)))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: B(a(a(a(x1:S)))) -> B(a(a(x1:S))) B(a(a(a(x1:S)))) -> B(b(a(a(x1:S)))) ->->-> Rules: a(b(a(b(x1:S)))) -> b(b(a(a(x1:S)))) a(b(b(b(x1:S)))) -> b(a(a(b(x1:S)))) b(a(a(a(x1:S)))) -> b(b(a(a(x1:S)))) ->->Cycle: ->->-> Pairs: A(b(a(b(x1:S)))) -> A(a(x1:S)) A(b(a(b(x1:S)))) -> A(x1:S) A(b(b(b(x1:S)))) -> A(a(b(x1:S))) A(b(b(b(x1:S)))) -> A(b(x1:S)) ->->-> Rules: a(b(a(b(x1:S)))) -> b(b(a(a(x1:S)))) a(b(b(b(x1:S)))) -> b(a(a(b(x1:S)))) b(a(a(a(x1:S)))) -> b(b(a(a(x1:S)))) The problem is decomposed in 2 subproblems. Problem 1.1: Reduction Pair Processor: -> Pairs: B(a(a(a(x1:S)))) -> B(a(a(x1:S))) B(a(a(a(x1:S)))) -> B(b(a(a(x1:S)))) -> Rules: a(b(a(b(x1:S)))) -> b(b(a(a(x1:S)))) a(b(b(b(x1:S)))) -> b(a(a(b(x1:S)))) b(a(a(a(x1:S)))) -> b(b(a(a(x1:S)))) -> Usable rules: a(b(a(b(x1:S)))) -> b(b(a(a(x1:S)))) a(b(b(b(x1:S)))) -> b(a(a(b(x1:S)))) b(a(a(a(x1:S)))) -> b(b(a(a(x1:S)))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = 2.X + 2
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