SRS Standard pair #487083542

details

property	value
status	complete
benchmark	size-12-alpha-3-num-568.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n150.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	46.5539 seconds
cpu usage	181.615
user time	178.441
system time	3.17394
max virtual memory	1.1833308E7
max residence set size	102056.0

stage attributes

key	value
starexec-result	YES

output

YES

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

Proof:
 String Reversal Processor:
  b(a(x1)) -> x1
  c(b(x1)) -> a(a(x1))
  a(c(x1)) -> c(c(b(b(x1))))
  DP Processor:
   DPs:
    c#(b(x1)) -> a#(x1)
    c#(b(x1)) -> a#(a(x1))
    a#(c(x1)) -> b#(x1)
    a#(c(x1)) -> b#(b(x1))
    a#(c(x1)) -> c#(b(b(x1)))
    a#(c(x1)) -> c#(c(b(b(x1))))
   TRS:
    b(a(x1)) -> x1
    c(b(x1)) -> a(a(x1))
    a(c(x1)) -> c(c(b(b(x1))))
   TDG Processor:
    DPs:
     c#(b(x1)) -> a#(x1)
     c#(b(x1)) -> a#(a(x1))
     a#(c(x1)) -> b#(x1)
     a#(c(x1)) -> b#(b(x1))
     a#(c(x1)) -> c#(b(b(x1)))
     a#(c(x1)) -> c#(c(b(b(x1))))
    TRS:
     b(a(x1)) -> x1
     c(b(x1)) -> a(a(x1))
     a(c(x1)) -> c(c(b(b(x1))))
    graph:
     a#(c(x1)) -> c#(c(b(b(x1)))) -> c#(b(x1)) -> a#(a(x1))
     a#(c(x1)) -> c#(c(b(b(x1)))) -> c#(b(x1)) -> a#(x1)
     a#(c(x1)) -> c#(b(b(x1))) -> c#(b(x1)) -> a#(a(x1))
     a#(c(x1)) -> c#(b(b(x1))) -> c#(b(x1)) -> a#(x1)
     c#(b(x1)) -> a#(a(x1)) -> a#(c(x1)) -> c#(c(b(b(x1))))
     c#(b(x1)) -> a#(a(x1)) -> a#(c(x1)) -> c#(b(b(x1)))
     c#(b(x1)) -> a#(a(x1)) -> a#(c(x1)) -> b#(b(x1))
     c#(b(x1)) -> a#(a(x1)) -> a#(c(x1)) -> b#(x1)
     c#(b(x1)) -> a#(x1) -> a#(c(x1)) -> c#(c(b(b(x1))))
     c#(b(x1)) -> a#(x1) -> a#(c(x1)) -> c#(b(b(x1)))
     c#(b(x1)) -> a#(x1) -> a#(c(x1)) -> b#(b(x1))
     c#(b(x1)) -> a#(x1) -> a#(c(x1)) -> b#(x1)
    EDG Processor:
     DPs:
      c#(b(x1)) -> a#(x1)
      c#(b(x1)) -> a#(a(x1))
      a#(c(x1)) -> b#(x1)
      a#(c(x1)) -> b#(b(x1))
      a#(c(x1)) -> c#(b(b(x1)))
      a#(c(x1)) -> c#(c(b(b(x1))))
     TRS:
      b(a(x1)) -> x1
      c(b(x1)) -> a(a(x1))
      a(c(x1)) -> c(c(b(b(x1))))
     graph:
      a#(c(x1)) -> c#(b(b(x1))) -> c#(b(x1)) -> a#(x1)
      a#(c(x1)) -> c#(b(b(x1))) -> c#(b(x1)) -> a#(a(x1))
      c#(b(x1)) -> a#(a(x1)) -> a#(c(x1)) -> b#(x1)
      c#(b(x1)) -> a#(a(x1)) -> a#(c(x1)) -> b#(b(x1))
      c#(b(x1)) -> a#(a(x1)) -> a#(c(x1)) -> c#(b(b(x1)))
      c#(b(x1)) -> a#(a(x1)) -> a#(c(x1)) -> c#(c(b(b(x1))))
      c#(b(x1)) -> a#(x1) -> a#(c(x1)) -> b#(x1)
      c#(b(x1)) -> a#(x1) -> a#(c(x1)) -> b#(b(x1))
      c#(b(x1)) -> a#(x1) -> a#(c(x1)) -> c#(b(b(x1)))
      c#(b(x1)) -> a#(x1) -> a#(c(x1)) -> c#(c(b(b(x1))))
     SCC Processor:
      #sccs: 1
      #rules: 3
      #arcs: 10/36
      DPs:
       a#(c(x1)) -> c#(b(b(x1)))
       c#(b(x1)) -> a#(a(x1))
       c#(b(x1)) -> a#(x1)
      TRS:
       b(a(x1)) -> x1
       c(b(x1)) -> a(a(x1))
       a(c(x1)) -> c(c(b(b(x1))))
      Arctic Interpretation Processor:
       dimension: 2
       usable rules:
        b(a(x1)) -> x1
        c(b(x1)) -> a(a(x1))
        a(c(x1)) -> c(c(b(b(x1))))
       interpretation:
        [c#](x0) = [2 3]x0 + [0],
        
                  [1 0]     [-&]
        [a](x0) = [0 0]x0 + [0 ],
        
        [a#](x0) = [2 0]x0,
        
                  [-& 0 ]     [0 ]
        [b](x0) = [0  -&]x0 + [-&],

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job log

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