SRS Standard pair #516972920

details

property	value
status	complete
benchmark	03.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n118.star.cs.uiowa.edu
space	Bouchare_06

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	43.2423970699 seconds
cpu usage	171.301068035
max memory	1.712881664E9

stage attributes

key	value
output-size	4312
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

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

Proof:
 String Reversal Processor:
  b(b(x1)) -> a(a(a(x1)))
  b(a(a(x1))) -> b(x1)
  a(b(a(x1))) -> b(b(a(x1)))
  DP Processor:
   DPs:
    b#(b(x1)) -> a#(x1)
    b#(b(x1)) -> a#(a(x1))
    b#(b(x1)) -> a#(a(a(x1)))
    b#(a(a(x1))) -> b#(x1)
    a#(b(a(x1))) -> b#(b(a(x1)))
   TRS:
    b(b(x1)) -> a(a(a(x1)))
    b(a(a(x1))) -> b(x1)
    a(b(a(x1))) -> b(b(a(x1)))
   TDG Processor:
    DPs:
     b#(b(x1)) -> a#(x1)
     b#(b(x1)) -> a#(a(x1))
     b#(b(x1)) -> a#(a(a(x1)))
     b#(a(a(x1))) -> b#(x1)
     a#(b(a(x1))) -> b#(b(a(x1)))
    TRS:
     b(b(x1)) -> a(a(a(x1)))
     b(a(a(x1))) -> b(x1)
     a(b(a(x1))) -> b(b(a(x1)))
    graph:
     a#(b(a(x1))) -> b#(b(a(x1))) -> b#(a(a(x1))) -> b#(x1)
     a#(b(a(x1))) -> b#(b(a(x1))) -> b#(b(x1)) -> a#(a(a(x1)))
     a#(b(a(x1))) -> b#(b(a(x1))) -> b#(b(x1)) -> a#(a(x1))
     a#(b(a(x1))) -> b#(b(a(x1))) -> b#(b(x1)) -> a#(x1)
     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1)
     b#(a(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(a(a(x1)))
     b#(a(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(a(x1))
     b#(a(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(x1)
     b#(b(x1)) -> a#(a(a(x1))) -> a#(b(a(x1))) -> b#(b(a(x1)))
     b#(b(x1)) -> a#(a(x1)) -> a#(b(a(x1))) -> b#(b(a(x1)))
     b#(b(x1)) -> a#(x1) -> a#(b(a(x1))) -> b#(b(a(x1)))
    Arctic Interpretation Processor:
     dimension: 2
     usable rules:
      b(b(x1)) -> a(a(a(x1)))
      b(a(a(x1))) -> b(x1)
      a(b(a(x1))) -> b(b(a(x1)))
     interpretation:
                [0 0]  
      [a](x0) = [0 0]x0,
      
      [a#](x0) = [0 0]x0,
      
                [0 0]  
      [b](x0) = [1 0]x0,
      
      [b#](x0) = [0  -&]x0
     orientation:
      b#(b(x1)) = [0 0]x1 >= [0 0]x1 = a#(x1)
      
      b#(b(x1)) = [0 0]x1 >= [0 0]x1 = a#(a(x1))
      
      b#(b(x1)) = [0 0]x1 >= [0 0]x1 = a#(a(a(x1)))
      
      b#(a(a(x1))) = [0 0]x1 >= [0  -&]x1 = b#(x1)
      
      a#(b(a(x1))) = [1 1]x1 >= [0 0]x1 = b#(b(a(x1)))
      
                 [1 0]      [0 0]                
      b(b(x1)) = [1 1]x1 >= [0 0]x1 = a(a(a(x1)))
      
                    [0 0]      [0 0]          
      b(a(a(x1))) = [1 1]x1 >= [1 0]x1 = b(x1)
      
                    [1 1]      [1 1]                
      a(b(a(x1))) = [1 1]x1 >= [1 1]x1 = b(b(a(x1)))
     problem:
      DPs:
       b#(b(x1)) -> a#(x1)
       b#(b(x1)) -> a#(a(x1))
       b#(b(x1)) -> a#(a(a(x1)))
       b#(a(a(x1))) -> b#(x1)
      TRS:
       b(b(x1)) -> a(a(a(x1)))
       b(a(a(x1))) -> b(x1)
       a(b(a(x1))) -> b(b(a(x1)))
     Restore Modifier:
      DPs:
       b#(b(x1)) -> a#(x1)

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