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SRS Stand 10685 pair #381720792
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
n054.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0706119537354 seconds
cpu usage
0.055610803
max memory
3989504.0
stage attributes
key
value
output-size
2277
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 x1) (RULES a(b(a(a(x1)))) -> c(b(a(b(a(x1))))) a(c(b(x1))) -> a(a(b(c(b(a(x1)))))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(b(a(a(x1)))) -> A(b(a(x1))) A(c(b(x1))) -> A(a(b(c(b(a(x1)))))) A(c(b(x1))) -> A(b(c(b(a(x1))))) A(c(b(x1))) -> A(x1) -> Rules: a(b(a(a(x1)))) -> c(b(a(b(a(x1))))) a(c(b(x1))) -> a(a(b(c(b(a(x1)))))) Problem 1: SCC Processor: -> Pairs: A(b(a(a(x1)))) -> A(b(a(x1))) A(c(b(x1))) -> A(a(b(c(b(a(x1)))))) A(c(b(x1))) -> A(b(c(b(a(x1))))) A(c(b(x1))) -> A(x1) -> Rules: a(b(a(a(x1)))) -> c(b(a(b(a(x1))))) a(c(b(x1))) -> a(a(b(c(b(a(x1)))))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(b(a(a(x1)))) -> A(b(a(x1))) ->->-> Rules: a(b(a(a(x1)))) -> c(b(a(b(a(x1))))) a(c(b(x1))) -> a(a(b(c(b(a(x1)))))) ->->Cycle: ->->-> Pairs: A(c(b(x1))) -> A(x1) ->->-> Rules: a(b(a(a(x1)))) -> c(b(a(b(a(x1))))) a(c(b(x1))) -> a(a(b(c(b(a(x1)))))) The problem is decomposed in 2 subproblems. Problem 1.1: Reduction Pair Processor: -> Pairs: A(b(a(a(x1)))) -> A(b(a(x1))) -> Rules: a(b(a(a(x1)))) -> c(b(a(b(a(x1))))) a(c(b(x1))) -> a(a(b(c(b(a(x1)))))) -> Usable rules: a(b(a(a(x1)))) -> c(b(a(b(a(x1))))) a(c(b(x1))) -> a(a(b(c(b(a(x1)))))) ->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) = 2.X Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: a(b(a(a(x1)))) -> c(b(a(b(a(x1))))) a(c(b(x1))) -> a(a(b(c(b(a(x1)))))) ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: Subterm Processor: -> Pairs: A(c(b(x1))) -> A(x1)
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