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SRS Standard pair #487520041
details
property
value
status
complete
benchmark
z018.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n131.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.825906991959 seconds
cpu usage
0.712234157
max memory
9048064.0
stage attributes
key
value
output-size
4008
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES a(b(x1:S)) -> b(c(a(x1:S))) b(a(x1:S)) -> a(c(b(x1:S))) b(c(x1:S)) -> c(b(b(x1:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(b(x1:S)) -> A(x1:S) A(b(x1:S)) -> B(c(a(x1:S))) B(a(x1:S)) -> A(c(b(x1:S))) B(a(x1:S)) -> B(x1:S) B(c(x1:S)) -> B(b(x1:S)) B(c(x1:S)) -> B(x1:S) -> Rules: a(b(x1:S)) -> b(c(a(x1:S))) b(a(x1:S)) -> a(c(b(x1:S))) b(c(x1:S)) -> c(b(b(x1:S))) Problem 1: SCC Processor: -> Pairs: A(b(x1:S)) -> A(x1:S) A(b(x1:S)) -> B(c(a(x1:S))) B(a(x1:S)) -> A(c(b(x1:S))) B(a(x1:S)) -> B(x1:S) B(c(x1:S)) -> B(b(x1:S)) B(c(x1:S)) -> B(x1:S) -> Rules: a(b(x1:S)) -> b(c(a(x1:S))) b(a(x1:S)) -> a(c(b(x1:S))) b(c(x1:S)) -> c(b(b(x1:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: B(a(x1:S)) -> B(x1:S) B(c(x1:S)) -> B(b(x1:S)) B(c(x1:S)) -> B(x1:S) ->->-> Rules: a(b(x1:S)) -> b(c(a(x1:S))) b(a(x1:S)) -> a(c(b(x1:S))) b(c(x1:S)) -> c(b(b(x1:S))) ->->Cycle: ->->-> Pairs: A(b(x1:S)) -> A(x1:S) ->->-> Rules: a(b(x1:S)) -> b(c(a(x1:S))) b(a(x1:S)) -> a(c(b(x1:S))) b(c(x1:S)) -> c(b(b(x1:S))) The problem is decomposed in 2 subproblems. Problem 1.1: Reduction Pair Processor: -> Pairs: B(a(x1:S)) -> B(x1:S) B(c(x1:S)) -> B(b(x1:S)) B(c(x1:S)) -> B(x1:S) -> Rules: a(b(x1:S)) -> b(c(a(x1:S))) b(a(x1:S)) -> a(c(b(x1:S))) b(c(x1:S)) -> c(b(b(x1:S))) -> Usable rules: a(b(x1:S)) -> b(c(a(x1:S))) b(a(x1:S)) -> a(c(b(x1:S))) b(c(x1:S)) -> c(b(b(x1:S))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = 2.X + 1 [b](X) = X [c](X) = X [B](X) = 2.X Problem 1.1: SCC Processor:
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