/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:
 strict:
  b(a(a(x1))) -> c(b(b(x1)))
  a(a(a(x1))) -> a(c(c(x1)))
  a(c(b(x1))) -> a(a(b(x1)))
  c(a(c(x1))) -> c(c(c(x1)))
 weak:
  c(a(a(x1))) -> c(a(a(x1)))
  c(c(a(x1))) -> c(b(b(x1)))
  a(a(b(x1))) -> b(a(b(x1)))

Proof:
 Arctic Interpretation Processor:
  dimension: 1
  interpretation:
   [b](x0) = x0,
   
   [a](x0) = 4x0,
   
   [c](x0) = 4x0
  orientation:
   b(a(a(x1))) = 8x1 >= 4x1 = c(b(b(x1)))
   
   a(a(a(x1))) = 12x1 >= 12x1 = a(c(c(x1)))
   
   a(c(b(x1))) = 8x1 >= 8x1 = a(a(b(x1)))
   
   c(a(c(x1))) = 12x1 >= 12x1 = c(c(c(x1)))
   
   c(a(a(x1))) = 12x1 >= 12x1 = c(a(a(x1)))
   
   c(c(a(x1))) = 12x1 >= 4x1 = c(b(b(x1)))
   
   a(a(b(x1))) = 8x1 >= 4x1 = b(a(b(x1)))
  problem:
   strict:
    a(a(a(x1))) -> a(c(c(x1)))
    a(c(b(x1))) -> a(a(b(x1)))
    c(a(c(x1))) -> c(c(c(x1)))
   weak:
    c(a(a(x1))) -> c(a(a(x1)))
  String Reversal Processor:
   strict:
    a(a(a(x1))) -> c(c(a(x1)))
    b(c(a(x1))) -> b(a(a(x1)))
    c(a(c(x1))) -> c(c(c(x1)))
   weak:
    a(a(c(x1))) -> a(a(c(x1)))
   Bounds Processor:
    bound: 1
    enrichment: match-rt
    automaton:
     final states: {4}
     transitions:
      c1(49) -> 50*
      c1(32) -> 33*
      c1(31) -> 32*
      c1(64) -> 65*
      b1(19) -> 20*
      a1(17) -> 18*
      a1(18) -> 19*
      a0(4) -> 4*
      b0(4) -> 4*
      c0(4) -> 4*
      19 -> 18*
      4 -> 49,17
      20 -> 4*
      65 -> 31*
      50 -> 64,17
      18 -> 31*
      32 -> 50*
      33 -> 32,18,19
    problem:
     strict:
      a(a(a(x1))) -> c(c(a(x1)))
      c(a(c(x1))) -> c(c(c(x1)))
     weak:
      a(a(c(x1))) -> a(a(c(x1)))
    Arctic Interpretation Processor:
     dimension: 1
     interpretation:
      [a](x0) = 5x0,
      
      [c](x0) = 2x0
     orientation:
      a(a(a(x1))) = 15x1 >= 9x1 = c(c(a(x1)))
      
      c(a(c(x1))) = 9x1 >= 6x1 = c(c(c(x1)))
      
      a(a(c(x1))) = 12x1 >= 12x1 = a(a(c(x1)))
     problem:
      strict:
       
      weak:
       a(a(c(x1))) -> a(a(c(x1)))
     Qed