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TRS Standard pair #516965781
details
property
value
status
complete
benchmark
linear1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
Endrullis_06
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
3.50629091263 seconds
cpu usage
3.403896721
max memory
6.0870656E7
stage attributes
key
value
output-size
4113
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 x:S) (RULES a(a(f(b,a(x:S)))) -> f(a(a(a(x:S))),b) a(a(x:S)) -> f(b,a(f(a(x:S),b))) f(a(x:S),b) -> f(b,a(x:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(a(f(b,a(x:S)))) -> A(a(a(x:S))) A(a(f(b,a(x:S)))) -> A(a(x:S)) A(a(f(b,a(x:S)))) -> F(a(a(a(x:S))),b) A(a(x:S)) -> A(f(a(x:S),b)) A(a(x:S)) -> F(a(x:S),b) A(a(x:S)) -> F(b,a(f(a(x:S),b))) F(a(x:S),b) -> F(b,a(x:S)) -> Rules: a(a(f(b,a(x:S)))) -> f(a(a(a(x:S))),b) a(a(x:S)) -> f(b,a(f(a(x:S),b))) f(a(x:S),b) -> f(b,a(x:S)) Problem 1: SCC Processor: -> Pairs: A(a(f(b,a(x:S)))) -> A(a(a(x:S))) A(a(f(b,a(x:S)))) -> A(a(x:S)) A(a(f(b,a(x:S)))) -> F(a(a(a(x:S))),b) A(a(x:S)) -> A(f(a(x:S),b)) A(a(x:S)) -> F(a(x:S),b) A(a(x:S)) -> F(b,a(f(a(x:S),b))) F(a(x:S),b) -> F(b,a(x:S)) -> Rules: a(a(f(b,a(x:S)))) -> f(a(a(a(x:S))),b) a(a(x:S)) -> f(b,a(f(a(x:S),b))) f(a(x:S),b) -> f(b,a(x:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(a(f(b,a(x:S)))) -> A(a(a(x:S))) A(a(f(b,a(x:S)))) -> A(a(x:S)) A(a(x:S)) -> A(f(a(x:S),b)) ->->-> Rules: a(a(f(b,a(x:S)))) -> f(a(a(a(x:S))),b) a(a(x:S)) -> f(b,a(f(a(x:S),b))) f(a(x:S),b) -> f(b,a(x:S)) Problem 1: Reduction Pair Processor: -> Pairs: A(a(f(b,a(x:S)))) -> A(a(a(x:S))) A(a(f(b,a(x:S)))) -> A(a(x:S)) A(a(x:S)) -> A(f(a(x:S),b)) -> Rules: a(a(f(b,a(x:S)))) -> f(a(a(a(x:S))),b) a(a(x:S)) -> f(b,a(f(a(x:S),b))) f(a(x:S),b) -> f(b,a(x:S)) -> Usable rules: a(a(f(b,a(x:S)))) -> f(a(a(a(x:S))),b) a(a(x:S)) -> f(b,a(f(a(x:S),b))) f(a(x:S),b) -> f(b,a(x:S)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = 2.X + 2 [f](X1,X2) = X1 + X2 [b] = 0 [A](X) = 2.X Problem 1: SCC Processor: -> Pairs: A(a(f(b,a(x:S)))) -> A(a(a(x:S))) A(a(x:S)) -> A(f(a(x:S),b)) -> Rules: a(a(f(b,a(x:S)))) -> f(a(a(a(x:S))),b) a(a(x:S)) -> f(b,a(f(a(x:S),b))) f(a(x:S),b) -> f(b,a(x:S)) ->Strongly Connected Components:
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