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TRS Context Sensitive pair #487523736
details
property
value
status
complete
benchmark
cariboo_ex5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Transformed_outermost_08
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0903220176697 seconds
cpu usage
0.048402548
max memory
2940928.0
stage attributes
key
value
output-size
1677
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 x) (STRATEGY CONTEXTSENSITIVE (f_1) (g_1) (a_0) ) (RULES f_1(x) -> g_1(f_1(x)) g_1(f_1(x)) -> x g_1(x) -> a_0 ) Problem 1: Dependency Pairs Processor: -> Pairs: F_1(x) -> G_1(f_1(x)) G_1(f_1(x)) -> x -> Rules: f_1(x) -> g_1(f_1(x)) g_1(f_1(x)) -> x g_1(x) -> a_0 -> Unhiding Rules: f_1(x) -> F_1(x) Problem 1: SCC Processor: -> Pairs: F_1(x) -> G_1(f_1(x)) G_1(f_1(x)) -> x -> Rules: f_1(x) -> g_1(f_1(x)) g_1(f_1(x)) -> x g_1(x) -> a_0 -> Unhiding rules: f_1(x) -> F_1(x) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F_1(x) -> G_1(f_1(x)) G_1(f_1(x)) -> x ->->-> Rules: f_1(x) -> g_1(f_1(x)) g_1(f_1(x)) -> x g_1(x) -> a_0 ->->-> Unhiding rules: f_1(x) -> F_1(x) Problem 1: Reduction Pairs Processor: -> Pairs: F_1(x) -> G_1(f_1(x)) G_1(f_1(x)) -> x -> Rules: f_1(x) -> g_1(f_1(x)) g_1(f_1(x)) -> x g_1(x) -> a_0 -> Unhiding rules: f_1(x) -> F_1(x) -> Usable rules: f_1(x) -> g_1(f_1(x)) g_1(f_1(x)) -> x g_1(x) -> a_0 ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f_1](X) = X + 2 [g_1](X) = X [a_0] = 0 [F_1](X) = X + 2 [G_1](X) = X Problem 1: SCC Processor: -> Pairs: F_1(x) -> G_1(f_1(x)) -> Rules: f_1(x) -> g_1(f_1(x)) g_1(f_1(x)) -> x g_1(x) -> a_0
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