3.48/1.18	YES
3.48/1.18	
3.48/1.18	Problem:
3.48/1.18	 a(a(x1)) -> a(b(a(x1)))
3.48/1.18	 b(a(b(x1))) -> a(c(a(x1)))
3.48/1.18	
3.48/1.18	Proof:
3.48/1.18	 Matrix Interpretation Processor: dim=3
3.48/1.18	  
3.48/1.18	  interpretation:
3.48/1.18	             [1 0 0]  
3.48/1.18	   [c](x0) = [0 0 0]x0
3.48/1.18	             [0 0 0]  ,
3.48/1.18	   
3.48/1.18	             [1 1 0]     [0]
3.48/1.18	   [b](x0) = [0 0 0]x0 + [0]
3.48/1.18	             [0 0 0]     [1],
3.48/1.18	   
3.48/1.18	             [1 1 0]     [0]
3.48/1.18	   [a](x0) = [0 0 1]x0 + [0]
3.48/1.18	             [0 0 0]     [1]
3.48/1.18	  orientation:
3.48/1.18	              [1 1 1]     [0]    [1 1 1]     [0]              
3.48/1.18	   a(a(x1)) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = a(b(a(x1)))
3.48/1.18	              [0 0 0]     [1]    [0 0 0]     [1]              
3.48/1.18	   
3.48/1.18	                 [1 1 0]     [1]    [1 1 0]     [0]              
3.48/1.18	   b(a(b(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = a(c(a(x1)))
3.48/1.18	                 [0 0 0]     [1]    [0 0 0]     [1]              
3.48/1.18	  problem:
3.48/1.18	   a(a(x1)) -> a(b(a(x1)))
3.48/1.18	  Bounds Processor:
3.48/1.18	   bound: 0
3.48/1.18	   enrichment: match
3.48/1.18	   automaton:
3.48/1.18	    final states: {1}
3.48/1.18	    transitions:
3.48/1.18	     b0(3) -> 4*
3.48/1.18	     f30() -> 2*
3.48/1.18	     a0(2) -> 3*
3.48/1.18	     a0(4) -> 1*
3.48/1.18	     1 -> 3*
3.48/1.18	   problem:
3.48/1.18	    
3.48/1.18	   Qed
3.48/1.19	EOF