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

Proof:
 DP Processor:
  DPs:
   c#(c(c(c(x1)))) -> b#(x1)
   c#(c(c(c(x1)))) -> b#(b(x1))
   c#(c(c(c(x1)))) -> b#(b(b(x1)))
   c#(c(c(c(x1)))) -> b#(b(b(b(x1))))
   b#(b(x1)) -> c#(x1)
   b#(b(x1)) -> b#(c(x1))
   b#(b(x1)) -> c#(b(c(x1)))
  TRS:
   c(c(c(c(x1)))) -> b(b(b(b(x1))))
   b(b(x1)) -> x1
   b(b(x1)) -> c(b(c(x1)))
  TDG Processor:
   DPs:
    c#(c(c(c(x1)))) -> b#(x1)
    c#(c(c(c(x1)))) -> b#(b(x1))
    c#(c(c(c(x1)))) -> b#(b(b(x1)))
    c#(c(c(c(x1)))) -> b#(b(b(b(x1))))
    b#(b(x1)) -> c#(x1)
    b#(b(x1)) -> b#(c(x1))
    b#(b(x1)) -> c#(b(c(x1)))
   TRS:
    c(c(c(c(x1)))) -> b(b(b(b(x1))))
    b(b(x1)) -> x1
    b(b(x1)) -> c(b(c(x1)))
   graph:
    b#(b(x1)) -> b#(c(x1)) -> b#(b(x1)) -> c#(b(c(x1)))
    b#(b(x1)) -> b#(c(x1)) -> b#(b(x1)) -> b#(c(x1))
    b#(b(x1)) -> b#(c(x1)) -> b#(b(x1)) -> c#(x1)
    b#(b(x1)) -> c#(b(c(x1))) -> c#(c(c(c(x1)))) -> b#(b(b(b(x1))))
    b#(b(x1)) -> c#(b(c(x1))) -> c#(c(c(c(x1)))) -> b#(b(b(x1)))
    b#(b(x1)) -> c#(b(c(x1))) -> c#(c(c(c(x1)))) -> b#(b(x1))
    b#(b(x1)) -> c#(b(c(x1))) -> c#(c(c(c(x1)))) -> b#(x1)
    b#(b(x1)) -> c#(x1) -> c#(c(c(c(x1)))) -> b#(b(b(b(x1))))
    b#(b(x1)) -> c#(x1) -> c#(c(c(c(x1)))) -> b#(b(b(x1)))
    b#(b(x1)) -> c#(x1) -> c#(c(c(c(x1)))) -> b#(b(x1))
    b#(b(x1)) -> c#(x1) -> c#(c(c(c(x1)))) -> b#(x1)
    c#(c(c(c(x1)))) -> b#(b(b(b(x1)))) ->
    b#(b(x1)) -> c#(b(c(x1)))
    c#(c(c(c(x1)))) -> b#(b(b(b(x1)))) -> b#(b(x1)) -> b#(c(x1))
    c#(c(c(c(x1)))) -> b#(b(b(b(x1)))) -> b#(b(x1)) -> c#(x1)
    c#(c(c(c(x1)))) -> b#(b(b(x1))) -> b#(b(x1)) -> c#(b(c(x1)))
    c#(c(c(c(x1)))) -> b#(b(b(x1))) -> b#(b(x1)) -> b#(c(x1))
    c#(c(c(c(x1)))) -> b#(b(b(x1))) -> b#(b(x1)) -> c#(x1)
    c#(c(c(c(x1)))) -> b#(b(x1)) -> b#(b(x1)) -> c#(b(c(x1)))
    c#(c(c(c(x1)))) -> b#(b(x1)) -> b#(b(x1)) -> b#(c(x1))
    c#(c(c(c(x1)))) -> b#(b(x1)) -> b#(b(x1)) -> c#(x1)
    c#(c(c(c(x1)))) -> b#(x1) -> b#(b(x1)) -> c#(b(c(x1)))
    c#(c(c(c(x1)))) -> b#(x1) -> b#(b(x1)) -> b#(c(x1))
    c#(c(c(c(x1)))) -> b#(x1) -> b#(b(x1)) -> c#(x1)
   Arctic Interpretation Processor:
    dimension: 2
    usable rules:
     c(c(c(c(x1)))) -> b(b(b(b(x1))))
     b(b(x1)) -> x1
     b(b(x1)) -> c(b(c(x1)))
    interpretation:
     [b#](x0) = [-3 -1]x0 + [0],
     
     [c#](x0) = [-1 -2]x0 + [0],
     
               [-2 0 ]     [0]
     [b](x0) = [0  0 ]x0 + [2],
     
               [1  -1]     [2 ]
     [c](x0) = [-1 -4]x0 + [-4]
    orientation:
     c#(c(c(c(x1)))) = [2 0]x1 + [3] >= [-3 -1]x1 + [0] = b#(x1)
     
     c#(c(c(c(x1)))) = [2 0]x1 + [3] >= [-1 -1]x1 + [1] = b#(b(x1))
     
     c#(c(c(c(x1)))) = [2 0]x1 + [3] >= [-1 -1]x1 + [1] = b#(b(b(x1)))
     
     c#(c(c(c(x1)))) = [2 0]x1 + [3] >= [-1 -1]x1 + [1] = b#(b(b(b(x1))))
     
     b#(b(x1)) = [-1 -1]x1 + [1] >= [-1 -2]x1 + [0] = c#(x1)
     
     b#(b(x1)) = [-1 -1]x1 + [1] >= [-2 -4]x1 + [0] = b#(c(x1))
     
     b#(b(x1)) = [-1 -1]x1 + [1] >= [-1 -3]x1 + [0] = c#(b(c(x1)))
     
                      [4 2]     [5]    [0 0]     [2]                 
     c(c(c(c(x1)))) = [2 0]x1 + [3] >= [0 0]x1 + [2] = b(b(b(b(x1))))
     
                [0 0]     [2]           
     b(b(x1)) = [0 0]x1 + [2] >= x1 = x1
     
                [0 0]     [2]    [0  -2]     [2 ]              
     b(b(x1)) = [0 0]x1 + [2] >= [-2 -4]x1 + [-1] = c(b(c(x1)))
    problem:
     DPs:
      b#(b(x1)) -> c#(x1)
      b#(b(x1)) -> c#(b(c(x1)))
     TRS:
      c(c(c(c(x1)))) -> b(b(b(b(x1))))
      b(b(x1)) -> x1
      b(b(x1)) -> c(b(c(x1)))
    Restore Modifier:
     DPs:
      b#(b(x1)) -> c#(x1)
      b#(b(x1)) -> c#(b(c(x1)))
     TRS:
      c(c(c(c(x1)))) -> b(b(b(b(x1))))
      b(b(x1)) -> x1
      b(b(x1)) -> c(b(c(x1)))
     EDG Processor:
      DPs:
       b#(b(x1)) -> c#(x1)
       b#(b(x1)) -> c#(b(c(x1)))
      TRS:
       c(c(c(c(x1)))) -> b(b(b(b(x1))))
       b(b(x1)) -> x1
       b(b(x1)) -> c(b(c(x1)))
      graph:
       
      SCC Processor:
       #sccs: 0
       #rules: 0
       #arcs: 0/4