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SRS Stand 10685 pair #381719672
details
property
value
status
complete
benchmark
z076.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n106.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0614428520203 seconds
cpu usage
0.038138149
max memory
3112960.0
stage attributes
key
value
output-size
1663
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 x1) (RULES f(0(x1)) -> 0(x1) f(s(x1)) -> s(s(f(p(s(x1))))) p(s(x1)) -> x1 ) Problem 1: Innermost Equivalent Processor: -> Rules: f(0(x1)) -> 0(x1) f(s(x1)) -> s(s(f(p(s(x1))))) p(s(x1)) -> x1 -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(s(x1)) -> F(p(s(x1))) F(s(x1)) -> P(s(x1)) -> Rules: f(0(x1)) -> 0(x1) f(s(x1)) -> s(s(f(p(s(x1))))) p(s(x1)) -> x1 Problem 1: SCC Processor: -> Pairs: F(s(x1)) -> F(p(s(x1))) F(s(x1)) -> P(s(x1)) -> Rules: f(0(x1)) -> 0(x1) f(s(x1)) -> s(s(f(p(s(x1))))) p(s(x1)) -> x1 ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(s(x1)) -> F(p(s(x1))) ->->-> Rules: f(0(x1)) -> 0(x1) f(s(x1)) -> s(s(f(p(s(x1))))) p(s(x1)) -> x1 Problem 1: Reduction Pairs Processor: -> Pairs: F(s(x1)) -> F(p(s(x1))) -> Rules: f(0(x1)) -> 0(x1) f(s(x1)) -> s(s(f(p(s(x1))))) p(s(x1)) -> x1 -> Usable rules: p(s(x1)) -> x1 ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: [p](X) = 1/2.X [s](X) = 2.X + 1/2 [F](X) = 2.X Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(0(x1)) -> 0(x1) f(s(x1)) -> s(s(f(p(s(x1))))) p(s(x1)) -> x1 ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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