SRS Stand 10685 pair #381722647

details

property	value
status	complete
benchmark	size-12-alpha-3-num-45.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n112.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	24.4730770588 seconds
cpu usage	96.488410483
max memory	1.185271808E9

stage attributes

key	value
output-size	6284
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(x1) -> x1
 a(x1) -> b(c(x1))
 b(b(x1)) -> a(a(x1))
 c(c(c(x1))) -> b(x1)

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

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