/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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


YES

Problem:
 +(0(),y) -> y
 +(s(x),y) -> s(+(x,y))
 +(s(x),y) -> +(x,s(y))

Proof:
 Matrix Interpretation Processor: dim=3
  
  interpretation:
                  [0]
   [s](x0) = x0 + [0]
                  [1],
   
                 [1 0 1]       
   [+](x0, x1) = [0 0 0]x0 + x1
                 [0 0 1]       ,
   
         [1]
   [0] = [0]
         [0]
  orientation:
                  [1]         
   +(0(),y) = y + [0] >= y = y
                  [0]         
   
               [1 0 1]        [1]    [1 0 1]        [0]            
   +(s(x),y) = [0 0 0]x + y + [0] >= [0 0 0]x + y + [0] = s(+(x,y))
               [0 0 1]        [1]    [0 0 1]        [1]            
   
               [1 0 1]        [1]    [1 0 1]        [0]            
   +(s(x),y) = [0 0 0]x + y + [0] >= [0 0 0]x + y + [0] = +(x,s(y))
               [0 0 1]        [1]    [0 0 1]        [1]            
  problem:
   
  Qed