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

Proof:
 Matrix Interpretation Processor: dim=2
  
  interpretation:
             [1 0]     [0]
   [c](x0) = [0 0]x0 + [2],
   
             [1 1]  
   [b](x0) = [0 0]x0,
   
             [1 1]  
   [a](x0) = [0 0]x0
  orientation:
                 [1 1]     [2]    [1 0]     [2]              
   b(c(b(x1))) = [0 0]x1 + [0] >= [0 0]x1 + [0] = a(c(c(x1)))
   
                 [1 1]     [0]    [1 1]     [0]              
   c(b(b(x1))) = [0 0]x1 + [2] >= [0 0]x1 + [2] = c(c(b(x1)))
   
                 [1 1]     [0]    [1 1]     [0]              
   c(a(a(x1))) = [0 0]x1 + [2] >= [0 0]x1 + [2] = c(b(b(x1)))
   
                 [1 1]     [2]    [1 1]                
   a(c(a(x1))) = [0 0]x1 + [0] >= [0 0]x1 = b(a(a(x1)))
   
                 [1 1]     [2]    [1 0]     [2]              
   a(c(b(x1))) = [0 0]x1 + [0] >= [0 0]x1 + [0] = b(a(c(x1)))
  problem:
   strict:
    b(c(b(x1))) -> a(c(c(x1)))
    c(b(b(x1))) -> c(c(b(x1)))
   weak:
    c(a(a(x1))) -> c(b(b(x1)))
    a(c(b(x1))) -> b(a(c(x1)))
  Arctic Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0,
    
    [b](x0) = 8x0,
    
    [a](x0) = 8x0
   orientation:
    b(c(b(x1))) = 16x1 >= 8x1 = a(c(c(x1)))
    
    c(b(b(x1))) = 16x1 >= 8x1 = c(c(b(x1)))
    
    c(a(a(x1))) = 16x1 >= 16x1 = c(b(b(x1)))
    
    a(c(b(x1))) = 16x1 >= 16x1 = b(a(c(x1)))
   problem:
    strict:
     
    weak:
     c(a(a(x1))) -> c(b(b(x1)))
     a(c(b(x1))) -> b(a(c(x1)))
   Qed