3.71/1.55	YES
3.71/1.56	
3.71/1.56	Problem:
3.71/1.56	 a(b(b(a(x1)))) -> a(c(a(b(x1))))
3.71/1.56	 a(c(x1)) -> c(c(a(x1)))
3.71/1.56	 c(c(c(x1))) -> b(c(b(x1)))
3.71/1.56	
3.71/1.56	Proof:
3.71/1.56	 Matrix Interpretation Processor: dim=3
3.71/1.56	  
3.71/1.56	  interpretation:
3.71/1.56	             [1 0 0]  
3.71/1.56	   [c](x0) = [0 1 0]x0
3.71/1.56	             [0 0 0]  ,
3.71/1.56	   
3.71/1.56	             [1 0 0]  
3.71/1.56	   [b](x0) = [0 0 1]x0
3.71/1.56	             [0 0 1]  ,
3.71/1.56	   
3.71/1.56	             [1 1 0]     [0]
3.71/1.56	   [a](x0) = [0 0 0]x0 + [0]
3.71/1.56	             [0 0 1]     [1]
3.71/1.56	  orientation:
3.71/1.56	                    [1 1 1]     [1]    [1 0 1]     [0]                 
3.71/1.56	   a(b(b(a(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = a(c(a(b(x1))))
3.71/1.56	                    [0 0 1]     [2]    [0 0 0]     [1]                 
3.71/1.56	   
3.71/1.56	              [1 1 0]     [0]    [1 1 0]                
3.71/1.56	   a(c(x1)) = [0 0 0]x1 + [0] >= [0 0 0]x1 = c(c(a(x1)))
3.71/1.56	              [0 0 0]     [1]    [0 0 0]                
3.71/1.56	   
3.71/1.56	                 [1 0 0]      [1 0 0]                
3.71/1.56	   c(c(c(x1))) = [0 1 0]x1 >= [0 0 0]x1 = b(c(b(x1)))
3.71/1.56	                 [0 0 0]      [0 0 0]                
3.71/1.56	  problem:
3.71/1.56	   a(c(x1)) -> c(c(a(x1)))
3.71/1.56	   c(c(c(x1))) -> b(c(b(x1)))
3.71/1.56	  Bounds Processor:
3.71/1.56	   bound: 1
3.71/1.56	   enrichment: match
3.71/1.56	   automaton:
3.71/1.56	    final states: {5,1}
3.71/1.56	    transitions:
3.71/1.56	     f30() -> 2*
3.71/1.56	     c0(4) -> 1*
3.71/1.56	     c0(6) -> 7*
3.71/1.56	     c0(3) -> 4*
3.71/1.56	     a0(2) -> 3*
3.71/1.56	     b0(7) -> 5*
3.71/1.56	     b0(2) -> 6*
3.71/1.56	     b1(20) -> 21*
3.71/1.56	     b1(10) -> 11*
3.71/1.56	     b1(22) -> 23*
3.71/1.56	     b1(8) -> 9*
3.71/1.56	     c1(9) -> 10*
3.71/1.56	     c1(21) -> 22*
3.71/1.56	     1 -> 3*
3.71/1.56	     3 -> 20*
3.71/1.56	     4 -> 8*
3.71/1.56	     11 -> 1,3
3.71/1.56	     23 -> 4*
3.71/1.56	   problem:
3.71/1.56	    
3.71/1.56	   Qed
3.71/1.56	EOF