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TRS Standard pair #516966231
details
property
value
status
complete
benchmark
7.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n115.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.766551971436 seconds
cpu usage
0.71375051
max memory
4730880.0
stage attributes
key
value
output-size
7629
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 v_NonEmpty:S x:S y:S) (RULES c(c(c(a(x:S,y:S)))) -> b(c(c(c(c(y:S)))),x:S) c(c(a(a(y:S,0),x:S))) -> c(y:S) c(c(b(c(y:S),0))) -> a(0,c(c(a(y:S,0)))) ) Problem 1: Dependency Pairs Processor: -> Pairs: C(c(c(a(x:S,y:S)))) -> C(c(c(c(y:S)))) C(c(c(a(x:S,y:S)))) -> C(c(c(y:S))) C(c(c(a(x:S,y:S)))) -> C(c(y:S)) C(c(c(a(x:S,y:S)))) -> C(y:S) C(c(a(a(y:S,0),x:S))) -> C(y:S) C(c(b(c(y:S),0))) -> C(c(a(y:S,0))) -> Rules: c(c(c(a(x:S,y:S)))) -> b(c(c(c(c(y:S)))),x:S) c(c(a(a(y:S,0),x:S))) -> c(y:S) c(c(b(c(y:S),0))) -> a(0,c(c(a(y:S,0)))) Problem 1: SCC Processor: -> Pairs: C(c(c(a(x:S,y:S)))) -> C(c(c(c(y:S)))) C(c(c(a(x:S,y:S)))) -> C(c(c(y:S))) C(c(c(a(x:S,y:S)))) -> C(c(y:S)) C(c(c(a(x:S,y:S)))) -> C(y:S) C(c(a(a(y:S,0),x:S))) -> C(y:S) C(c(b(c(y:S),0))) -> C(c(a(y:S,0))) -> Rules: c(c(c(a(x:S,y:S)))) -> b(c(c(c(c(y:S)))),x:S) c(c(a(a(y:S,0),x:S))) -> c(y:S) c(c(b(c(y:S),0))) -> a(0,c(c(a(y:S,0)))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: C(c(c(a(x:S,y:S)))) -> C(c(c(c(y:S)))) C(c(c(a(x:S,y:S)))) -> C(c(c(y:S))) C(c(c(a(x:S,y:S)))) -> C(c(y:S)) C(c(c(a(x:S,y:S)))) -> C(y:S) C(c(a(a(y:S,0),x:S))) -> C(y:S) C(c(b(c(y:S),0))) -> C(c(a(y:S,0))) ->->-> Rules: c(c(c(a(x:S,y:S)))) -> b(c(c(c(c(y:S)))),x:S) c(c(a(a(y:S,0),x:S))) -> c(y:S) c(c(b(c(y:S),0))) -> a(0,c(c(a(y:S,0)))) Problem 1: Reduction Pair Processor: -> Pairs: C(c(c(a(x:S,y:S)))) -> C(c(c(c(y:S)))) C(c(c(a(x:S,y:S)))) -> C(c(c(y:S))) C(c(c(a(x:S,y:S)))) -> C(c(y:S)) C(c(c(a(x:S,y:S)))) -> C(y:S) C(c(a(a(y:S,0),x:S))) -> C(y:S) C(c(b(c(y:S),0))) -> C(c(a(y:S,0))) -> Rules: c(c(c(a(x:S,y:S)))) -> b(c(c(c(c(y:S)))),x:S) c(c(a(a(y:S,0),x:S))) -> c(y:S) c(c(b(c(y:S),0))) -> a(0,c(c(a(y:S,0)))) -> Usable rules: c(c(c(a(x:S,y:S)))) -> b(c(c(c(c(y:S)))),x:S) c(c(a(a(y:S,0),x:S))) -> c(y:S) c(c(b(c(y:S),0))) -> a(0,c(c(a(y:S,0)))) ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: [c](X) = 2.X [0] = 0 [a](X1,X2) = X1 + 2.X2 + 1/2 [b](X1,X2) = X1 + 2 [C](X) = 2.X Problem 1: SCC Processor: -> Pairs: C(c(c(a(x:S,y:S)))) -> C(c(c(y:S))) C(c(c(a(x:S,y:S)))) -> C(c(y:S))
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