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


--------------------------------------------------------------------------------


YES

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

Proof:
 Matrix Interpretation Processor: dim=4
  
  interpretation:
             [1 0 1 0]     [0]
             [0 0 1 1]     [0]
   [a](x0) = [0 0 0 0]x0 + [0]
             [0 1 1 0]     [1],
   
             [1 0 0 0]     [0]
             [0 0 0 0]     [0]
   [b](x0) = [0 1 1 1]x0 + [0]
             [0 0 0 0]     [1]
  orientation:
                    [1 1 1 1]     [0]    [1 0 1 0]     [0]                 
                    [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
   b(a(a(b(x1)))) = [0 2 2 2]x1 + [3] >= [0 1 2 1]x1 + [3] = b(a(a(a(x1))))
                    [0 0 0 0]     [1]    [0 0 0 0]     [1]                 
   
                    [1 1 3 1]     [2]    [1 1 1 1]     [1]                 
                    [0 1 2 1]     [3]    [0 1 1 1]     [2]                 
   a(b(b(a(x1)))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 + [0] = a(a(b(b(x1))))
                    [0 1 2 1]     [3]    [0 1 1 1]     [3]                 
   
                    [1 0 1 0]     [0]    [1 0 1 0]     [0]                 
                    [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
   b(a(a(a(x1)))) = [0 1 2 1]x1 + [3] >= [0 1 2 1]x1 + [3] = b(b(b(a(x1))))
                    [0 0 0 0]     [1]    [0 0 0 0]     [1]                 
  problem:
   b(a(a(b(x1)))) -> b(a(a(a(x1))))
   b(a(a(a(x1)))) -> b(b(b(a(x1))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {6,1}
    transitions:
     b1(11) -> 12*
     b1(12) -> 13*
     b1(10) -> 11*
     a1(9) -> 10*
     f20() -> 2*
     a0(3) -> 4*
     a0(4) -> 5*
     a0(2) -> 3*
     b0(5) -> 1*
     b0(7) -> 8*
     b0(8) -> 6*
     b0(3) -> 7*
     2 -> 9*
     13 -> 1*
     1 -> 11,7
   problem:
    
   Qed