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TRS Standard pair #516966166
details
property
value
status
complete
benchmark
6.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
52.966247797 seconds
cpu usage
52.631101111
max memory
2.3425024E7
stage attributes
key
value
output-size
5149
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 y:S) (RULES a(y:S,c(b(a(0,x:S),0))) -> b(a(c(b(0,y:S)),x:S),0) a(y:S,x:S) -> y:S b(x:S,y:S) -> c(a(c(y:S),a(0,x:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(y:S,c(b(a(0,x:S),0))) -> A(c(b(0,y:S)),x:S) A(y:S,c(b(a(0,x:S),0))) -> B(a(c(b(0,y:S)),x:S),0) A(y:S,c(b(a(0,x:S),0))) -> B(0,y:S) B(x:S,y:S) -> A(0,x:S) B(x:S,y:S) -> A(c(y:S),a(0,x:S)) -> Rules: a(y:S,c(b(a(0,x:S),0))) -> b(a(c(b(0,y:S)),x:S),0) a(y:S,x:S) -> y:S b(x:S,y:S) -> c(a(c(y:S),a(0,x:S))) Problem 1: SCC Processor: -> Pairs: A(y:S,c(b(a(0,x:S),0))) -> A(c(b(0,y:S)),x:S) A(y:S,c(b(a(0,x:S),0))) -> B(a(c(b(0,y:S)),x:S),0) A(y:S,c(b(a(0,x:S),0))) -> B(0,y:S) B(x:S,y:S) -> A(0,x:S) B(x:S,y:S) -> A(c(y:S),a(0,x:S)) -> Rules: a(y:S,c(b(a(0,x:S),0))) -> b(a(c(b(0,y:S)),x:S),0) a(y:S,x:S) -> y:S b(x:S,y:S) -> c(a(c(y:S),a(0,x:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(y:S,c(b(a(0,x:S),0))) -> A(c(b(0,y:S)),x:S) A(y:S,c(b(a(0,x:S),0))) -> B(a(c(b(0,y:S)),x:S),0) A(y:S,c(b(a(0,x:S),0))) -> B(0,y:S) B(x:S,y:S) -> A(0,x:S) B(x:S,y:S) -> A(c(y:S),a(0,x:S)) ->->-> Rules: a(y:S,c(b(a(0,x:S),0))) -> b(a(c(b(0,y:S)),x:S),0) a(y:S,x:S) -> y:S b(x:S,y:S) -> c(a(c(y:S),a(0,x:S))) Problem 1: Reduction Pair Processor: -> Pairs: A(y:S,c(b(a(0,x:S),0))) -> A(c(b(0,y:S)),x:S) A(y:S,c(b(a(0,x:S),0))) -> B(a(c(b(0,y:S)),x:S),0) A(y:S,c(b(a(0,x:S),0))) -> B(0,y:S) B(x:S,y:S) -> A(0,x:S) B(x:S,y:S) -> A(c(y:S),a(0,x:S)) -> Rules: a(y:S,c(b(a(0,x:S),0))) -> b(a(c(b(0,y:S)),x:S),0) a(y:S,x:S) -> y:S b(x:S,y:S) -> c(a(c(y:S),a(0,x:S))) -> Usable rules: a(y:S,c(b(a(0,x:S),0))) -> b(a(c(b(0,y:S)),x:S),0) a(y:S,x:S) -> y:S b(x:S,y:S) -> c(a(c(y:S),a(0,x:S))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 2 ->Bound: 1 ->Interpretation: [a](X1,X2) = [1 0;1 1].X1 + [0 1;0 1].X2 + [1;0] [b](X1,X2) = [1 0;1 1].X1 + [1 1;1 1].X2 + [1;1] [0] = [1;0] [c](X) = [0 0;0 1].X [A](X1,X2) = [1 1;0 0].X1 + [0 1;0 0].X2 [B](X1,X2) = [0 1;0 0].X1 + [1 1;0 0].X2 + [1;0] Problem 1: SCC Processor: -> Pairs: A(y:S,c(b(a(0,x:S),0))) -> B(a(c(b(0,y:S)),x:S),0) A(y:S,c(b(a(0,x:S),0))) -> B(0,y:S) B(x:S,y:S) -> A(0,x:S) B(x:S,y:S) -> A(c(y:S),a(0,x:S)) -> Rules:
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