SRS Standard pair #516974090

details

property	value
status	complete
benchmark	size-12-alpha-3-num-226.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n060.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	45.0525541306 seconds
cpu usage	178.387809107
max memory	1.580347392E9

stage attributes

key	value
output-size	6348
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

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

Proof:
 String Reversal Processor:
  a(x1) -> x1
  b(a(x1)) -> c(b(x1))
  b(x1) -> x1
  c(c(x1)) -> a(b(c(a(x1))))
  DP Processor:
   DPs:
    b#(a(x1)) -> b#(x1)
    b#(a(x1)) -> c#(b(x1))
    c#(c(x1)) -> a#(x1)
    c#(c(x1)) -> c#(a(x1))
    c#(c(x1)) -> b#(c(a(x1)))
    c#(c(x1)) -> a#(b(c(a(x1))))
   TRS:
    a(x1) -> x1
    b(a(x1)) -> c(b(x1))
    b(x1) -> x1
    c(c(x1)) -> a(b(c(a(x1))))
   TDG Processor:
    DPs:
     b#(a(x1)) -> b#(x1)
     b#(a(x1)) -> c#(b(x1))
     c#(c(x1)) -> a#(x1)
     c#(c(x1)) -> c#(a(x1))
     c#(c(x1)) -> b#(c(a(x1)))
     c#(c(x1)) -> a#(b(c(a(x1))))
    TRS:
     a(x1) -> x1
     b(a(x1)) -> c(b(x1))
     b(x1) -> x1
     c(c(x1)) -> a(b(c(a(x1))))
    graph:
     c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> a#(b(c(a(x1))))
     c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> b#(c(a(x1)))
     c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> c#(a(x1))
     c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> a#(x1)
     c#(c(x1)) -> b#(c(a(x1))) -> b#(a(x1)) -> c#(b(x1))
     c#(c(x1)) -> b#(c(a(x1))) -> b#(a(x1)) -> b#(x1)
     b#(a(x1)) -> c#(b(x1)) -> c#(c(x1)) -> a#(b(c(a(x1))))
     b#(a(x1)) -> c#(b(x1)) -> c#(c(x1)) -> b#(c(a(x1)))
     b#(a(x1)) -> c#(b(x1)) -> c#(c(x1)) -> c#(a(x1))
     b#(a(x1)) -> c#(b(x1)) -> c#(c(x1)) -> a#(x1)
     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(b(x1))
     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1)
    SCC Processor:
     #sccs: 1
     #rules: 4
     #arcs: 12/36
     DPs:
      c#(c(x1)) -> c#(a(x1))
      c#(c(x1)) -> b#(c(a(x1)))
      b#(a(x1)) -> b#(x1)
      b#(a(x1)) -> c#(b(x1))
     TRS:
      a(x1) -> x1
      b(a(x1)) -> c(b(x1))
      b(x1) -> x1
      c(c(x1)) -> a(b(c(a(x1))))
     Arctic Interpretation Processor:
      dimension: 2
      usable rules:
       a(x1) -> x1
       b(a(x1)) -> c(b(x1))
       b(x1) -> x1
       c(c(x1)) -> a(b(c(a(x1))))
      interpretation:
       [b#](x0) = [0 0]x0 + [1],
       
                 [0  -&]     [0]
       [b](x0) = [1  0 ]x0 + [0],
       
       [c#](x0) = [-& 0 ]x0 + [0],
       
                 [1  0 ]     [0]
       [a](x0) = [-& 0 ]x0 + [0],
       
                 [-& 0 ]     [0]
       [c](x0) = [-& 1 ]x0 + [1]
      orientation:
       c#(c(x1)) = [-& 1 ]x1 + [1] >= [-& 0 ]x1 + [0] = c#(a(x1))
       
       c#(c(x1)) = [-& 1 ]x1 + [1] >= [-& 1 ]x1 + [1] = b#(c(a(x1)))
       
       b#(a(x1)) = [1 0]x1 + [1] >= [0 0]x1 + [1] = b#(x1)

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