SRS Stand 10685 pair #381719267

details

property	value
status	complete
benchmark	size-12-alpha-3-num-476.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n190.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	26.5401990414 seconds
cpu usage	104.746906116
max memory	1.582497792E9

stage attributes

key	value
output-size	6247
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem:
 a(a(x1)) -> a(b(a(c(c(x1)))))
 c(a(x1)) -> x1
 c(b(x1)) -> a(x1)

Proof:
 DP Processor:
  DPs:
   a#(a(x1)) -> c#(x1)
   a#(a(x1)) -> c#(c(x1))
   a#(a(x1)) -> a#(c(c(x1)))
   a#(a(x1)) -> a#(b(a(c(c(x1)))))
   c#(b(x1)) -> a#(x1)
  TRS:
   a(a(x1)) -> a(b(a(c(c(x1)))))
   c(a(x1)) -> x1
   c(b(x1)) -> a(x1)
  TDG Processor:
   DPs:
    a#(a(x1)) -> c#(x1)
    a#(a(x1)) -> c#(c(x1))
    a#(a(x1)) -> a#(c(c(x1)))
    a#(a(x1)) -> a#(b(a(c(c(x1)))))
    c#(b(x1)) -> a#(x1)
   TRS:
    a(a(x1)) -> a(b(a(c(c(x1)))))
    c(a(x1)) -> x1
    c(b(x1)) -> a(x1)
   graph:
    c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(a(c(c(x1)))))
    c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(c(c(x1)))
    c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(c(x1))
    c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(x1)
    a#(a(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(x1)
    a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(x1)
    a#(a(x1)) -> a#(b(a(c(c(x1))))) ->
    a#(a(x1)) -> a#(b(a(c(c(x1)))))
    a#(a(x1)) -> a#(b(a(c(c(x1))))) -> a#(a(x1)) -> a#(c(c(x1)))
    a#(a(x1)) -> a#(b(a(c(c(x1))))) -> a#(a(x1)) -> c#(c(x1))
    a#(a(x1)) -> a#(b(a(c(c(x1))))) -> a#(a(x1)) -> c#(x1)
    a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> a#(b(a(c(c(x1)))))
    a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> a#(c(c(x1)))
    a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> c#(c(x1))
    a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> c#(x1)
   EDG Processor:
    DPs:
     a#(a(x1)) -> c#(x1)
     a#(a(x1)) -> c#(c(x1))
     a#(a(x1)) -> a#(c(c(x1)))
     a#(a(x1)) -> a#(b(a(c(c(x1)))))
     c#(b(x1)) -> a#(x1)
    TRS:
     a(a(x1)) -> a(b(a(c(c(x1)))))
     c(a(x1)) -> x1
     c(b(x1)) -> a(x1)
    graph:
     c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(x1)
     c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> c#(c(x1))
     c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(c(c(x1)))
     c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(a(c(c(x1)))))
     a#(a(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(x1)
     a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(x1)
     a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> c#(x1)
     a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> c#(c(x1))
     a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> a#(c(c(x1)))
     a#(a(x1)) -> a#(c(c(x1))) -> a#(a(x1)) -> a#(b(a(c(c(x1)))))
    SCC Processor:
     #sccs: 1
     #rules: 4
     #arcs: 10/25
     DPs:
      c#(b(x1)) -> a#(x1)
      a#(a(x1)) -> a#(c(c(x1)))
      a#(a(x1)) -> c#(c(x1))
      a#(a(x1)) -> c#(x1)
     TRS:
      a(a(x1)) -> a(b(a(c(c(x1)))))
      c(a(x1)) -> x1
      c(b(x1)) -> a(x1)
     Arctic Interpretation Processor:
      dimension: 2
      usable rules:
       a(a(x1)) -> a(b(a(c(c(x1)))))
       c(a(x1)) -> x1
       c(b(x1)) -> a(x1)
      interpretation:
       [c#](x0) = [-& 0 ]x0 + [1],
       
       [a#](x0) = [-& 0 ]x0 + [0],
       
                 [0 1]     [2]
       [b](x0) = [0 0]x0 + [0],

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