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TRS Stand 20472 pair #381713601
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
n070.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
35.4130330086 seconds
cpu usage
35.148385671
max memory
2.4174592E7
stage attributes
key
value
output-size
4506
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 x y) (RULES a(y,c(b(a(0,x),0))) -> b(a(c(b(0,y)),x),0) a(y,x) -> y b(x,y) -> c(a(c(y),a(0,x))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(y,c(b(a(0,x),0))) -> A(c(b(0,y)),x) A(y,c(b(a(0,x),0))) -> B(a(c(b(0,y)),x),0) A(y,c(b(a(0,x),0))) -> B(0,y) B(x,y) -> A(0,x) B(x,y) -> A(c(y),a(0,x)) -> Rules: a(y,c(b(a(0,x),0))) -> b(a(c(b(0,y)),x),0) a(y,x) -> y b(x,y) -> c(a(c(y),a(0,x))) Problem 1: SCC Processor: -> Pairs: A(y,c(b(a(0,x),0))) -> A(c(b(0,y)),x) A(y,c(b(a(0,x),0))) -> B(a(c(b(0,y)),x),0) A(y,c(b(a(0,x),0))) -> B(0,y) B(x,y) -> A(0,x) B(x,y) -> A(c(y),a(0,x)) -> Rules: a(y,c(b(a(0,x),0))) -> b(a(c(b(0,y)),x),0) a(y,x) -> y b(x,y) -> c(a(c(y),a(0,x))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(y,c(b(a(0,x),0))) -> A(c(b(0,y)),x) A(y,c(b(a(0,x),0))) -> B(a(c(b(0,y)),x),0) A(y,c(b(a(0,x),0))) -> B(0,y) B(x,y) -> A(0,x) B(x,y) -> A(c(y),a(0,x)) ->->-> Rules: a(y,c(b(a(0,x),0))) -> b(a(c(b(0,y)),x),0) a(y,x) -> y b(x,y) -> c(a(c(y),a(0,x))) Problem 1: Reduction Pair Processor: -> Pairs: A(y,c(b(a(0,x),0))) -> A(c(b(0,y)),x) A(y,c(b(a(0,x),0))) -> B(a(c(b(0,y)),x),0) A(y,c(b(a(0,x),0))) -> B(0,y) B(x,y) -> A(0,x) B(x,y) -> A(c(y),a(0,x)) -> Rules: a(y,c(b(a(0,x),0))) -> b(a(c(b(0,y)),x),0) a(y,x) -> y b(x,y) -> c(a(c(y),a(0,x))) -> Usable rules: a(y,c(b(a(0,x),0))) -> b(a(c(b(0,y)),x),0) a(y,x) -> y b(x,y) -> c(a(c(y),a(0,x))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 2 ->Bound: 1 ->Interpretation: [a](X1,X2) = [1 1;0 1].X1 + [1 0;0 0].X2 + [0;1] [b](X1,X2) = [1 1;0 0].X1 + [1 1;0 0].X2 + [1;1] [0] = [0;1] [c](X) = [1 0;0 0].X [A](X1,X2) = [1 1;1 1].X1 + [1 0;1 0].X2 [B](X1,X2) = [1 1;1 0].X1 + [1 1;1 1].X2 + [1;1] Problem 1: SCC Processor: -> Pairs: A(y,c(b(a(0,x),0))) -> B(a(c(b(0,y)),x),0) A(y,c(b(a(0,x),0))) -> B(0,y) B(x,y) -> A(0,x) B(x,y) -> A(c(y),a(0,x)) -> Rules:
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