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

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [b](x0) = 2x0,
   
   [a](x0) = 2x0 + 4,
   
   [c](x0) = 2x0 + 4
  orientation:
   b(b(a(x1))) = 8x1 + 16 >= 8x1 + 12 = a(a(b(x1)))
   
   a(a(a(x1))) = 8x1 + 28 >= 8x1 + 28 = c(c(a(x1)))
   
   a(a(a(x1))) = 8x1 + 28 >= 8x1 + 8 = b(c(b(x1)))
   
   b(a(c(x1))) = 8x1 + 24 >= 8x1 + 20 = a(b(a(x1)))
   
   c(c(b(x1))) = 8x1 + 12 >= 8x1 + 12 = a(c(b(x1)))
   
   a(a(a(x1))) = 8x1 + 28 >= 8x1 + 24 = b(a(a(x1)))
  problem:
   strict:
    a(a(a(x1))) -> c(c(a(x1)))
   weak:
    c(c(b(x1))) -> a(c(b(x1)))
  Bounds Processor:
   bound: 1
   enrichment: match-rt
   automaton:
    final states: {4}
    transitions:
     c1(11) -> 12*
     c1(10) -> 11*
     a1(9) -> 10*
     a0(4) -> 4*
     c0(4) -> 4*
     b0(4) -> 4*
     12 -> 10,4
     4 -> 9*
   problem:
    strict:
     
    weak:
     c(c(b(x1))) -> a(c(b(x1)))
   Qed