0.00/0.05 YES 0.00/0.05 0.00/0.05 Problem 1: 0.00/0.05 0.00/0.05 (VAR v_NonEmpty:S x1:S) 0.00/0.05 (RULES 0.00/0.05 0(0(1(x1:S))) -> 0(2(3(0(1(x1:S))))) 0.00/0.05 0(0(1(x1:S))) -> 0(4(0(5(4(1(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 2(1(0(0(3(4(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 4(0(5(4(0(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(5(4(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 1(0(0(5(4(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 1(0(3(4(1(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 5(0(3(4(1(1(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(0(5(4(1(5(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(5(4(2(1(0(x1:S)))))) 0.00/0.05 0(1(2(5(0(x1:S))))) -> 1(5(4(0(2(0(x1:S)))))) 0.00/0.05 0(1(3(0(x1:S)))) -> 0(2(0(2(1(3(x1:S)))))) 0.00/0.05 0(1(4(2(0(x1:S))))) -> 1(0(4(2(3(0(x1:S)))))) 0.00/0.05 0(3(0(1(x1:S)))) -> 0(0(4(1(3(0(x1:S)))))) 0.00/0.05 0(3(1(0(x1:S)))) -> 0(0(2(3(1(x1:S))))) 0.00/0.05 0(3(1(1(x1:S)))) -> 5(1(1(0(3(4(x1:S)))))) 0.00/0.05 1(4(5(1(0(x1:S))))) -> 5(4(2(1(1(0(x1:S)))))) 0.00/0.05 5(0(1(0(x1:S)))) -> 5(0(0(4(1(3(x1:S)))))) 0.00/0.05 5(0(1(4(0(x1:S))))) -> 1(4(5(4(0(0(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(x1:S)))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(2(1(2(x1:S))))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(4(3(0(1(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 2(5(4(0(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 0(5(0(2(2(1(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(5(0(4(4(2(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(4(0(5(2(3(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(5(4(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(2(2(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 4(4(1(0(4(5(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(5(4(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(5(3(4(1(x1:S))))) 0.00/0.05 5(1(1(x1:S))) -> 5(4(1(1(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 3(5(2(3(1(1(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 4(1(2(1(5(4(x1:S)))))) 0.00/0.05 5(1(5(1(x1:S)))) -> 5(4(1(5(1(x1:S))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 1(4(0(5(4(2(x1:S)))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 5(0(4(2(2(1(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 1(5(4(0(2(3(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 4(5(2(1(3(0(x1:S)))))) 0.00/0.05 5(5(1(0(0(x1:S))))) -> 5(5(0(4(1(0(x1:S)))))) 0.00/0.05 5(3(0(1(x1:S)))) -> 0(1(5(2(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(5(0(4(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(3(0(4(3(5(x1:S)))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(4(3(5(0(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 5(4(3(1(0(x1:S))))) 0.00/0.05 5(3(1(1(x1:S)))) -> 1(1(5(3(3(4(x1:S)))))) 0.00/0.05 ) 0.00/0.05 0.00/0.05 Problem 1: 0.00/0.05 0.00/0.05 Dependency Pairs Processor: 0.00/0.05 -> Pairs: 0.00/0.05 0#(0(1(x1:S))) -> 0#(5(4(0(1(x1:S))))) 0.00/0.05 0#(0(1(x1:S))) -> 0#(5(4(1(x1:S)))) 0.00/0.05 0#(0(1(x1:S))) -> 0#(2(3(0(1(x1:S))))) 0.00/0.05 0#(0(1(x1:S))) -> 0#(4(0(5(4(1(x1:S)))))) 0.00/0.05 0#(0(1(x1:S))) -> 5#(4(0(1(x1:S)))) 0.00/0.05 0#(0(1(x1:S))) -> 5#(4(1(x1:S))) 0.00/0.05 0#(1(0(x1:S))) -> 0#(0(2(5(4(1(x1:S)))))) 0.00/0.05 0#(1(0(x1:S))) -> 0#(2(5(4(1(x1:S))))) 0.00/0.05 0#(1(0(x1:S))) -> 1#(x1:S) 0.00/0.05 0#(1(0(x1:S))) -> 5#(4(1(x1:S))) 0.00/0.05 0#(1(1(x1:S))) -> 0#(3(4(1(1(x1:S))))) 0.00/0.05 0#(1(1(x1:S))) -> 0#(3(4(1(x1:S)))) 0.00/0.05 0#(1(1(x1:S))) -> 1#(0(3(4(1(x1:S))))) 0.00/0.05 0#(1(1(x1:S))) -> 5#(0(3(4(1(1(x1:S)))))) 0.00/0.05 0#(1(5(0(x1:S)))) -> 0#(0(5(4(1(5(x1:S)))))) 0.00/0.05 0#(1(5(0(x1:S)))) -> 0#(5(4(1(5(x1:S))))) 0.00/0.05 0#(1(5(0(x1:S)))) -> 0#(5(4(2(1(0(x1:S)))))) 0.00/0.05 0#(1(5(0(x1:S)))) -> 1#(0(x1:S)) 0.00/0.05 0#(1(5(0(x1:S)))) -> 1#(5(x1:S)) 0.00/0.05 0#(1(5(0(x1:S)))) -> 5#(4(1(5(x1:S)))) 0.00/0.05 0#(1(5(0(x1:S)))) -> 5#(4(2(1(0(x1:S))))) 0.00/0.05 0#(1(5(0(x1:S)))) -> 5#(x1:S) 0.00/0.05 0#(1(2(5(0(x1:S))))) -> 0#(2(0(x1:S))) 0.00/0.05 0#(1(2(5(0(x1:S))))) -> 1#(5(4(0(2(0(x1:S)))))) 0.00/0.05 0#(1(2(5(0(x1:S))))) -> 5#(4(0(2(0(x1:S))))) 0.00/0.05 0#(1(4(2(0(x1:S))))) -> 0#(4(2(3(0(x1:S))))) 0.00/0.05 0#(1(4(2(0(x1:S))))) -> 1#(0(4(2(3(0(x1:S)))))) 0.00/0.05 0#(3(0(1(x1:S)))) -> 0#(0(4(1(3(0(x1:S)))))) 0.00/0.05 0#(3(0(1(x1:S)))) -> 0#(4(1(3(0(x1:S))))) 0.00/0.05 0#(3(0(1(x1:S)))) -> 0#(x1:S) 0.00/0.05 0#(3(0(1(x1:S)))) -> 1#(3(0(x1:S))) 0.00/0.05 0#(3(1(0(x1:S)))) -> 0#(0(2(3(1(x1:S))))) 0.00/0.05 0#(3(1(0(x1:S)))) -> 0#(2(3(1(x1:S)))) 0.00/0.05 0#(3(1(0(x1:S)))) -> 1#(x1:S) 0.00/0.05 0#(3(1(1(x1:S)))) -> 5#(1(1(0(3(4(x1:S)))))) 0.00/0.05 1#(4(5(1(0(x1:S))))) -> 1#(1(0(x1:S))) 0.00/0.05 1#(4(5(1(0(x1:S))))) -> 5#(4(2(1(1(0(x1:S)))))) 0.00/0.05 5#(0(1(4(0(x1:S))))) -> 0#(0(x1:S)) 0.00/0.05 5#(0(1(4(0(x1:S))))) -> 1#(4(5(4(0(0(x1:S)))))) 0.00/0.05 5#(0(1(4(0(x1:S))))) -> 5#(4(0(0(x1:S)))) 0.00/0.05 5#(0(1(x1:S))) -> 0#(5(4(1(x1:S)))) 0.00/0.05 5#(0(1(x1:S))) -> 0#(4(3(0(1(x1:S))))) 0.00/0.05 5#(0(1(x1:S))) -> 5#(0(4(3(0(1(x1:S)))))) 0.00/0.05 5#(0(1(x1:S))) -> 5#(4(0(1(x1:S)))) 0.00/0.05 5#(0(1(x1:S))) -> 5#(4(1(x1:S))) 0.00/0.05 5#(1(0(x1:S))) -> 0#(5(0(2(2(1(x1:S)))))) 0.00/0.05 5#(1(0(x1:S))) -> 0#(5(4(1(x1:S)))) 0.00/0.05 5#(1(0(x1:S))) -> 0#(2(2(1(x1:S)))) 0.00/0.05 5#(1(0(x1:S))) -> 0#(4(5(x1:S))) 0.00/0.05 5#(1(0(x1:S))) -> 1#(0(4(5(x1:S)))) 0.00/0.05 5#(1(0(x1:S))) -> 1#(x1:S) 0.00/0.05 5#(1(0(x1:S))) -> 5#(0(5(4(1(x1:S))))) 0.00/0.05 5#(1(0(x1:S))) -> 5#(0(2(2(1(x1:S))))) 0.00/0.05 5#(1(0(x1:S))) -> 5#(4(1(x1:S))) 0.00/0.05 5#(1(0(x1:S))) -> 5#(x1:S) 0.00/0.05 5#(1(1(x1:S))) -> 1#(5(3(4(1(x1:S))))) 0.00/0.05 5#(1(1(x1:S))) -> 5#(2(3(1(1(x1:S))))) 0.00/0.05 5#(1(1(x1:S))) -> 5#(3(4(1(x1:S)))) 0.00/0.05 5#(1(1(x1:S))) -> 5#(4(1(1(x1:S)))) 0.00/0.05 5#(1(5(1(x1:S)))) -> 5#(4(1(5(1(x1:S))))) 0.00/0.05 5#(1(2(0(x1:S)))) -> 0#(4(2(2(1(x1:S))))) 0.00/0.05 5#(1(2(0(x1:S)))) -> 1#(x1:S) 0.00/0.05 5#(1(2(0(x1:S)))) -> 5#(0(4(2(2(1(x1:S)))))) 0.00/0.05 5#(1(4(0(x1:S)))) -> 1#(3(0(x1:S))) 0.00/0.05 5#(1(4(0(x1:S)))) -> 5#(2(1(3(0(x1:S))))) 0.00/0.05 5#(5(1(0(0(x1:S))))) -> 0#(4(1(0(x1:S)))) 0.00/0.05 5#(5(1(0(0(x1:S))))) -> 1#(0(x1:S)) 0.00/0.05 5#(5(1(0(0(x1:S))))) -> 5#(0(4(1(0(x1:S))))) 0.00/0.05 5#(5(1(0(0(x1:S))))) -> 5#(5(0(4(1(0(x1:S)))))) 0.00/0.05 5#(3(1(0(x1:S)))) -> 0#(4(3(5(x1:S)))) 0.00/0.05 5#(3(1(0(x1:S)))) -> 1#(3(0(4(3(5(x1:S)))))) 0.00/0.05 5#(3(1(0(x1:S)))) -> 1#(4(3(5(0(x1:S))))) 0.00/0.05 5#(3(1(0(x1:S)))) -> 5#(0(x1:S)) 0.00/0.05 5#(3(1(0(x1:S)))) -> 5#(4(3(1(0(x1:S))))) 0.00/0.05 5#(3(1(0(x1:S)))) -> 5#(x1:S) 0.00/0.05 -> Rules: 0.00/0.05 0(0(1(x1:S))) -> 0(2(3(0(1(x1:S))))) 0.00/0.05 0(0(1(x1:S))) -> 0(4(0(5(4(1(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 2(1(0(0(3(4(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 4(0(5(4(0(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(5(4(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 1(0(0(5(4(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 1(0(3(4(1(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 5(0(3(4(1(1(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(0(5(4(1(5(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(5(4(2(1(0(x1:S)))))) 0.00/0.05 0(1(2(5(0(x1:S))))) -> 1(5(4(0(2(0(x1:S)))))) 0.00/0.05 0(1(3(0(x1:S)))) -> 0(2(0(2(1(3(x1:S)))))) 0.00/0.05 0(1(4(2(0(x1:S))))) -> 1(0(4(2(3(0(x1:S)))))) 0.00/0.05 0(3(0(1(x1:S)))) -> 0(0(4(1(3(0(x1:S)))))) 0.00/0.05 0(3(1(0(x1:S)))) -> 0(0(2(3(1(x1:S))))) 0.00/0.05 0(3(1(1(x1:S)))) -> 5(1(1(0(3(4(x1:S)))))) 0.00/0.05 1(4(5(1(0(x1:S))))) -> 5(4(2(1(1(0(x1:S)))))) 0.00/0.05 5(0(1(0(x1:S)))) -> 5(0(0(4(1(3(x1:S)))))) 0.00/0.05 5(0(1(4(0(x1:S))))) -> 1(4(5(4(0(0(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(x1:S)))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(2(1(2(x1:S))))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(4(3(0(1(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 2(5(4(0(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 0(5(0(2(2(1(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(5(0(4(4(2(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(4(0(5(2(3(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(5(4(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(2(2(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 4(4(1(0(4(5(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(5(4(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(5(3(4(1(x1:S))))) 0.00/0.05 5(1(1(x1:S))) -> 5(4(1(1(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 3(5(2(3(1(1(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 4(1(2(1(5(4(x1:S)))))) 0.00/0.05 5(1(5(1(x1:S)))) -> 5(4(1(5(1(x1:S))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 1(4(0(5(4(2(x1:S)))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 5(0(4(2(2(1(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 1(5(4(0(2(3(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 4(5(2(1(3(0(x1:S)))))) 0.00/0.05 5(5(1(0(0(x1:S))))) -> 5(5(0(4(1(0(x1:S)))))) 0.00/0.05 5(3(0(1(x1:S)))) -> 0(1(5(2(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(5(0(4(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(3(0(4(3(5(x1:S)))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(4(3(5(0(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 5(4(3(1(0(x1:S))))) 0.00/0.05 5(3(1(1(x1:S)))) -> 1(1(5(3(3(4(x1:S)))))) 0.00/0.05 0.00/0.05 Problem 1: 0.00/0.05 0.00/0.05 SCC Processor: 0.00/0.05 -> Pairs: 0.00/0.05 0#(0(1(x1:S))) -> 0#(5(4(0(1(x1:S))))) 0.00/0.05 0#(0(1(x1:S))) -> 0#(5(4(1(x1:S)))) 0.00/0.05 0#(0(1(x1:S))) -> 0#(2(3(0(1(x1:S))))) 0.00/0.05 0#(0(1(x1:S))) -> 0#(4(0(5(4(1(x1:S)))))) 0.00/0.05 0#(0(1(x1:S))) -> 5#(4(0(1(x1:S)))) 0.00/0.05 0#(0(1(x1:S))) -> 5#(4(1(x1:S))) 0.00/0.05 0#(1(0(x1:S))) -> 0#(0(2(5(4(1(x1:S)))))) 0.00/0.05 0#(1(0(x1:S))) -> 0#(2(5(4(1(x1:S))))) 0.00/0.05 0#(1(0(x1:S))) -> 1#(x1:S) 0.00/0.05 0#(1(0(x1:S))) -> 5#(4(1(x1:S))) 0.00/0.05 0#(1(1(x1:S))) -> 0#(3(4(1(1(x1:S))))) 0.00/0.05 0#(1(1(x1:S))) -> 0#(3(4(1(x1:S)))) 0.00/0.05 0#(1(1(x1:S))) -> 1#(0(3(4(1(x1:S))))) 0.00/0.05 0#(1(1(x1:S))) -> 5#(0(3(4(1(1(x1:S)))))) 0.00/0.05 0#(1(5(0(x1:S)))) -> 0#(0(5(4(1(5(x1:S)))))) 0.00/0.05 0#(1(5(0(x1:S)))) -> 0#(5(4(1(5(x1:S))))) 0.00/0.05 0#(1(5(0(x1:S)))) -> 0#(5(4(2(1(0(x1:S)))))) 0.00/0.05 0#(1(5(0(x1:S)))) -> 1#(0(x1:S)) 0.00/0.05 0#(1(5(0(x1:S)))) -> 1#(5(x1:S)) 0.00/0.05 0#(1(5(0(x1:S)))) -> 5#(4(1(5(x1:S)))) 0.00/0.05 0#(1(5(0(x1:S)))) -> 5#(4(2(1(0(x1:S))))) 0.00/0.05 0#(1(5(0(x1:S)))) -> 5#(x1:S) 0.00/0.05 0#(1(2(5(0(x1:S))))) -> 0#(2(0(x1:S))) 0.00/0.05 0#(1(2(5(0(x1:S))))) -> 1#(5(4(0(2(0(x1:S)))))) 0.00/0.05 0#(1(2(5(0(x1:S))))) -> 5#(4(0(2(0(x1:S))))) 0.00/0.05 0#(1(4(2(0(x1:S))))) -> 0#(4(2(3(0(x1:S))))) 0.00/0.05 0#(1(4(2(0(x1:S))))) -> 1#(0(4(2(3(0(x1:S)))))) 0.00/0.05 0#(3(0(1(x1:S)))) -> 0#(0(4(1(3(0(x1:S)))))) 0.00/0.05 0#(3(0(1(x1:S)))) -> 0#(4(1(3(0(x1:S))))) 0.00/0.05 0#(3(0(1(x1:S)))) -> 0#(x1:S) 0.00/0.05 0#(3(0(1(x1:S)))) -> 1#(3(0(x1:S))) 0.00/0.05 0#(3(1(0(x1:S)))) -> 0#(0(2(3(1(x1:S))))) 0.00/0.05 0#(3(1(0(x1:S)))) -> 0#(2(3(1(x1:S)))) 0.00/0.05 0#(3(1(0(x1:S)))) -> 1#(x1:S) 0.00/0.05 0#(3(1(1(x1:S)))) -> 5#(1(1(0(3(4(x1:S)))))) 0.00/0.05 1#(4(5(1(0(x1:S))))) -> 1#(1(0(x1:S))) 0.00/0.05 1#(4(5(1(0(x1:S))))) -> 5#(4(2(1(1(0(x1:S)))))) 0.00/0.05 5#(0(1(4(0(x1:S))))) -> 0#(0(x1:S)) 0.00/0.05 5#(0(1(4(0(x1:S))))) -> 1#(4(5(4(0(0(x1:S)))))) 0.00/0.05 5#(0(1(4(0(x1:S))))) -> 5#(4(0(0(x1:S)))) 0.00/0.05 5#(0(1(x1:S))) -> 0#(5(4(1(x1:S)))) 0.00/0.05 5#(0(1(x1:S))) -> 0#(4(3(0(1(x1:S))))) 0.00/0.05 5#(0(1(x1:S))) -> 5#(0(4(3(0(1(x1:S)))))) 0.00/0.05 5#(0(1(x1:S))) -> 5#(4(0(1(x1:S)))) 0.00/0.05 5#(0(1(x1:S))) -> 5#(4(1(x1:S))) 0.00/0.05 5#(1(0(x1:S))) -> 0#(5(0(2(2(1(x1:S)))))) 0.00/0.05 5#(1(0(x1:S))) -> 0#(5(4(1(x1:S)))) 0.00/0.05 5#(1(0(x1:S))) -> 0#(2(2(1(x1:S)))) 0.00/0.05 5#(1(0(x1:S))) -> 0#(4(5(x1:S))) 0.00/0.05 5#(1(0(x1:S))) -> 1#(0(4(5(x1:S)))) 0.00/0.05 5#(1(0(x1:S))) -> 1#(x1:S) 0.00/0.05 5#(1(0(x1:S))) -> 5#(0(5(4(1(x1:S))))) 0.00/0.05 5#(1(0(x1:S))) -> 5#(0(2(2(1(x1:S))))) 0.00/0.05 5#(1(0(x1:S))) -> 5#(4(1(x1:S))) 0.00/0.05 5#(1(0(x1:S))) -> 5#(x1:S) 0.00/0.05 5#(1(1(x1:S))) -> 1#(5(3(4(1(x1:S))))) 0.00/0.05 5#(1(1(x1:S))) -> 5#(2(3(1(1(x1:S))))) 0.00/0.05 5#(1(1(x1:S))) -> 5#(3(4(1(x1:S)))) 0.00/0.05 5#(1(1(x1:S))) -> 5#(4(1(1(x1:S)))) 0.00/0.05 5#(1(5(1(x1:S)))) -> 5#(4(1(5(1(x1:S))))) 0.00/0.05 5#(1(2(0(x1:S)))) -> 0#(4(2(2(1(x1:S))))) 0.00/0.05 5#(1(2(0(x1:S)))) -> 1#(x1:S) 0.00/0.05 5#(1(2(0(x1:S)))) -> 5#(0(4(2(2(1(x1:S)))))) 0.00/0.05 5#(1(4(0(x1:S)))) -> 1#(3(0(x1:S))) 0.00/0.05 5#(1(4(0(x1:S)))) -> 5#(2(1(3(0(x1:S))))) 0.00/0.05 5#(5(1(0(0(x1:S))))) -> 0#(4(1(0(x1:S)))) 0.00/0.05 5#(5(1(0(0(x1:S))))) -> 1#(0(x1:S)) 0.00/0.05 5#(5(1(0(0(x1:S))))) -> 5#(0(4(1(0(x1:S))))) 0.00/0.05 5#(5(1(0(0(x1:S))))) -> 5#(5(0(4(1(0(x1:S)))))) 0.00/0.05 5#(3(1(0(x1:S)))) -> 0#(4(3(5(x1:S)))) 0.00/0.05 5#(3(1(0(x1:S)))) -> 1#(3(0(4(3(5(x1:S)))))) 0.00/0.05 5#(3(1(0(x1:S)))) -> 1#(4(3(5(0(x1:S))))) 0.00/0.05 5#(3(1(0(x1:S)))) -> 5#(0(x1:S)) 0.00/0.05 5#(3(1(0(x1:S)))) -> 5#(4(3(1(0(x1:S))))) 0.00/0.05 5#(3(1(0(x1:S)))) -> 5#(x1:S) 0.00/0.05 -> Rules: 0.00/0.05 0(0(1(x1:S))) -> 0(2(3(0(1(x1:S))))) 0.00/0.05 0(0(1(x1:S))) -> 0(4(0(5(4(1(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 2(1(0(0(3(4(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 4(0(5(4(0(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(5(4(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 1(0(0(5(4(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 1(0(3(4(1(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 5(0(3(4(1(1(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(0(5(4(1(5(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(5(4(2(1(0(x1:S)))))) 0.00/0.05 0(1(2(5(0(x1:S))))) -> 1(5(4(0(2(0(x1:S)))))) 0.00/0.05 0(1(3(0(x1:S)))) -> 0(2(0(2(1(3(x1:S)))))) 0.00/0.05 0(1(4(2(0(x1:S))))) -> 1(0(4(2(3(0(x1:S)))))) 0.00/0.05 0(3(0(1(x1:S)))) -> 0(0(4(1(3(0(x1:S)))))) 0.00/0.05 0(3(1(0(x1:S)))) -> 0(0(2(3(1(x1:S))))) 0.00/0.05 0(3(1(1(x1:S)))) -> 5(1(1(0(3(4(x1:S)))))) 0.00/0.05 1(4(5(1(0(x1:S))))) -> 5(4(2(1(1(0(x1:S)))))) 0.00/0.05 5(0(1(0(x1:S)))) -> 5(0(0(4(1(3(x1:S)))))) 0.00/0.05 5(0(1(4(0(x1:S))))) -> 1(4(5(4(0(0(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(x1:S)))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(2(1(2(x1:S))))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(4(3(0(1(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 2(5(4(0(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 0(5(0(2(2(1(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(5(0(4(4(2(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(4(0(5(2(3(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(5(4(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(2(2(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 4(4(1(0(4(5(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(5(4(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(5(3(4(1(x1:S))))) 0.00/0.05 5(1(1(x1:S))) -> 5(4(1(1(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 3(5(2(3(1(1(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 4(1(2(1(5(4(x1:S)))))) 0.00/0.05 5(1(5(1(x1:S)))) -> 5(4(1(5(1(x1:S))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 1(4(0(5(4(2(x1:S)))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 5(0(4(2(2(1(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 1(5(4(0(2(3(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 4(5(2(1(3(0(x1:S)))))) 0.00/0.05 5(5(1(0(0(x1:S))))) -> 5(5(0(4(1(0(x1:S)))))) 0.00/0.05 5(3(0(1(x1:S)))) -> 0(1(5(2(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(5(0(4(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(3(0(4(3(5(x1:S)))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(4(3(5(0(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 5(4(3(1(0(x1:S))))) 0.00/0.05 5(3(1(1(x1:S)))) -> 1(1(5(3(3(4(x1:S)))))) 0.00/0.05 ->Strongly Connected Components: 0.00/0.05 ->->Cycle: 0.00/0.05 ->->-> Pairs: 0.00/0.05 1#(4(5(1(0(x1:S))))) -> 1#(1(0(x1:S))) 0.00/0.05 ->->-> Rules: 0.00/0.05 0(0(1(x1:S))) -> 0(2(3(0(1(x1:S))))) 0.00/0.05 0(0(1(x1:S))) -> 0(4(0(5(4(1(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 2(1(0(0(3(4(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 4(0(5(4(0(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(5(4(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 1(0(0(5(4(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 1(0(3(4(1(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 5(0(3(4(1(1(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(0(5(4(1(5(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(5(4(2(1(0(x1:S)))))) 0.00/0.05 0(1(2(5(0(x1:S))))) -> 1(5(4(0(2(0(x1:S)))))) 0.00/0.05 0(1(3(0(x1:S)))) -> 0(2(0(2(1(3(x1:S)))))) 0.00/0.05 0(1(4(2(0(x1:S))))) -> 1(0(4(2(3(0(x1:S)))))) 0.00/0.05 0(3(0(1(x1:S)))) -> 0(0(4(1(3(0(x1:S)))))) 0.00/0.05 0(3(1(0(x1:S)))) -> 0(0(2(3(1(x1:S))))) 0.00/0.05 0(3(1(1(x1:S)))) -> 5(1(1(0(3(4(x1:S)))))) 0.00/0.05 1(4(5(1(0(x1:S))))) -> 5(4(2(1(1(0(x1:S)))))) 0.00/0.05 5(0(1(0(x1:S)))) -> 5(0(0(4(1(3(x1:S)))))) 0.00/0.05 5(0(1(4(0(x1:S))))) -> 1(4(5(4(0(0(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(x1:S)))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(2(1(2(x1:S))))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(4(3(0(1(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 2(5(4(0(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 0(5(0(2(2(1(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(5(0(4(4(2(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(4(0(5(2(3(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(5(4(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(2(2(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 4(4(1(0(4(5(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(5(4(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(5(3(4(1(x1:S))))) 0.00/0.05 5(1(1(x1:S))) -> 5(4(1(1(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 3(5(2(3(1(1(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 4(1(2(1(5(4(x1:S)))))) 0.00/0.05 5(1(5(1(x1:S)))) -> 5(4(1(5(1(x1:S))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 1(4(0(5(4(2(x1:S)))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 5(0(4(2(2(1(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 1(5(4(0(2(3(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 4(5(2(1(3(0(x1:S)))))) 0.00/0.05 5(5(1(0(0(x1:S))))) -> 5(5(0(4(1(0(x1:S)))))) 0.00/0.05 5(3(0(1(x1:S)))) -> 0(1(5(2(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(5(0(4(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(3(0(4(3(5(x1:S)))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(4(3(5(0(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 5(4(3(1(0(x1:S))))) 0.00/0.05 5(3(1(1(x1:S)))) -> 1(1(5(3(3(4(x1:S)))))) 0.00/0.05 ->->Cycle: 0.00/0.05 ->->-> Pairs: 0.00/0.05 0#(1(5(0(x1:S)))) -> 5#(x1:S) 0.00/0.05 0#(3(0(1(x1:S)))) -> 0#(x1:S) 0.00/0.05 5#(0(1(4(0(x1:S))))) -> 0#(0(x1:S)) 0.00/0.05 5#(1(0(x1:S))) -> 5#(x1:S) 0.00/0.05 5#(3(1(0(x1:S)))) -> 5#(0(x1:S)) 0.00/0.05 5#(3(1(0(x1:S)))) -> 5#(x1:S) 0.00/0.05 ->->-> Rules: 0.00/0.05 0(0(1(x1:S))) -> 0(2(3(0(1(x1:S))))) 0.00/0.05 0(0(1(x1:S))) -> 0(4(0(5(4(1(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 2(1(0(0(3(4(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 4(0(5(4(0(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(5(4(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 1(0(0(5(4(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 1(0(3(4(1(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 5(0(3(4(1(1(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(0(5(4(1(5(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(5(4(2(1(0(x1:S)))))) 0.00/0.05 0(1(2(5(0(x1:S))))) -> 1(5(4(0(2(0(x1:S)))))) 0.00/0.05 0(1(3(0(x1:S)))) -> 0(2(0(2(1(3(x1:S)))))) 0.00/0.05 0(1(4(2(0(x1:S))))) -> 1(0(4(2(3(0(x1:S)))))) 0.00/0.05 0(3(0(1(x1:S)))) -> 0(0(4(1(3(0(x1:S)))))) 0.00/0.05 0(3(1(0(x1:S)))) -> 0(0(2(3(1(x1:S))))) 0.00/0.05 0(3(1(1(x1:S)))) -> 5(1(1(0(3(4(x1:S)))))) 0.00/0.05 1(4(5(1(0(x1:S))))) -> 5(4(2(1(1(0(x1:S)))))) 0.00/0.05 5(0(1(0(x1:S)))) -> 5(0(0(4(1(3(x1:S)))))) 0.00/0.05 5(0(1(4(0(x1:S))))) -> 1(4(5(4(0(0(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(x1:S)))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(2(1(2(x1:S))))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(4(3(0(1(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 2(5(4(0(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 0(5(0(2(2(1(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(5(0(4(4(2(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(4(0(5(2(3(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(5(4(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(2(2(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 4(4(1(0(4(5(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(5(4(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(5(3(4(1(x1:S))))) 0.00/0.05 5(1(1(x1:S))) -> 5(4(1(1(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 3(5(2(3(1(1(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 4(1(2(1(5(4(x1:S)))))) 0.00/0.05 5(1(5(1(x1:S)))) -> 5(4(1(5(1(x1:S))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 1(4(0(5(4(2(x1:S)))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 5(0(4(2(2(1(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 1(5(4(0(2(3(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 4(5(2(1(3(0(x1:S)))))) 0.00/0.05 5(5(1(0(0(x1:S))))) -> 5(5(0(4(1(0(x1:S)))))) 0.00/0.05 5(3(0(1(x1:S)))) -> 0(1(5(2(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(5(0(4(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(3(0(4(3(5(x1:S)))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(4(3(5(0(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 5(4(3(1(0(x1:S))))) 0.00/0.05 5(3(1(1(x1:S)))) -> 1(1(5(3(3(4(x1:S)))))) 0.00/0.05 0.00/0.05 0.00/0.05 The problem is decomposed in 2 subproblems. 0.00/0.05 0.00/0.05 Problem 1.1: 0.00/0.05 0.00/0.05 Subterm Processor: 0.00/0.05 -> Pairs: 0.00/0.05 1#(4(5(1(0(x1:S))))) -> 1#(1(0(x1:S))) 0.00/0.05 -> Rules: 0.00/0.05 0(0(1(x1:S))) -> 0(2(3(0(1(x1:S))))) 0.00/0.05 0(0(1(x1:S))) -> 0(4(0(5(4(1(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 2(1(0(0(3(4(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 4(0(5(4(0(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(5(4(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 1(0(0(5(4(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 1(0(3(4(1(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 5(0(3(4(1(1(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(0(5(4(1(5(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(5(4(2(1(0(x1:S)))))) 0.00/0.05 0(1(2(5(0(x1:S))))) -> 1(5(4(0(2(0(x1:S)))))) 0.00/0.05 0(1(3(0(x1:S)))) -> 0(2(0(2(1(3(x1:S)))))) 0.00/0.05 0(1(4(2(0(x1:S))))) -> 1(0(4(2(3(0(x1:S)))))) 0.00/0.05 0(3(0(1(x1:S)))) -> 0(0(4(1(3(0(x1:S)))))) 0.00/0.05 0(3(1(0(x1:S)))) -> 0(0(2(3(1(x1:S))))) 0.00/0.05 0(3(1(1(x1:S)))) -> 5(1(1(0(3(4(x1:S)))))) 0.00/0.05 1(4(5(1(0(x1:S))))) -> 5(4(2(1(1(0(x1:S)))))) 0.00/0.05 5(0(1(0(x1:S)))) -> 5(0(0(4(1(3(x1:S)))))) 0.00/0.05 5(0(1(4(0(x1:S))))) -> 1(4(5(4(0(0(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(x1:S)))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(2(1(2(x1:S))))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(4(3(0(1(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 2(5(4(0(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 0(5(0(2(2(1(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(5(0(4(4(2(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(4(0(5(2(3(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(5(4(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(2(2(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 4(4(1(0(4(5(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(5(4(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(5(3(4(1(x1:S))))) 0.00/0.05 5(1(1(x1:S))) -> 5(4(1(1(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 3(5(2(3(1(1(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 4(1(2(1(5(4(x1:S)))))) 0.00/0.05 5(1(5(1(x1:S)))) -> 5(4(1(5(1(x1:S))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 1(4(0(5(4(2(x1:S)))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 5(0(4(2(2(1(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 1(5(4(0(2(3(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 4(5(2(1(3(0(x1:S)))))) 0.00/0.05 5(5(1(0(0(x1:S))))) -> 5(5(0(4(1(0(x1:S)))))) 0.00/0.05 5(3(0(1(x1:S)))) -> 0(1(5(2(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(5(0(4(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(3(0(4(3(5(x1:S)))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(4(3(5(0(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 5(4(3(1(0(x1:S))))) 0.00/0.05 5(3(1(1(x1:S)))) -> 1(1(5(3(3(4(x1:S)))))) 0.00/0.05 ->Projection: 0.00/0.05 pi(1#) = 1 0.00/0.05 0.00/0.05 Problem 1.1: 0.00/0.05 0.00/0.05 SCC Processor: 0.00/0.05 -> Pairs: 0.00/0.05 Empty 0.00/0.05 -> Rules: 0.00/0.05 0(0(1(x1:S))) -> 0(2(3(0(1(x1:S))))) 0.00/0.05 0(0(1(x1:S))) -> 0(4(0(5(4(1(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 2(1(0(0(3(4(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 4(0(5(4(0(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(5(4(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 1(0(0(5(4(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 1(0(3(4(1(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 5(0(3(4(1(1(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(0(5(4(1(5(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(5(4(2(1(0(x1:S)))))) 0.00/0.05 0(1(2(5(0(x1:S))))) -> 1(5(4(0(2(0(x1:S)))))) 0.00/0.05 0(1(3(0(x1:S)))) -> 0(2(0(2(1(3(x1:S)))))) 0.00/0.05 0(1(4(2(0(x1:S))))) -> 1(0(4(2(3(0(x1:S)))))) 0.00/0.05 0(3(0(1(x1:S)))) -> 0(0(4(1(3(0(x1:S)))))) 0.00/0.05 0(3(1(0(x1:S)))) -> 0(0(2(3(1(x1:S))))) 0.00/0.05 0(3(1(1(x1:S)))) -> 5(1(1(0(3(4(x1:S)))))) 0.00/0.05 1(4(5(1(0(x1:S))))) -> 5(4(2(1(1(0(x1:S)))))) 0.00/0.05 5(0(1(0(x1:S)))) -> 5(0(0(4(1(3(x1:S)))))) 0.00/0.05 5(0(1(4(0(x1:S))))) -> 1(4(5(4(0(0(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(x1:S)))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(2(1(2(x1:S))))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(4(3(0(1(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 2(5(4(0(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 0(5(0(2(2(1(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(5(0(4(4(2(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(4(0(5(2(3(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(5(4(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(2(2(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 4(4(1(0(4(5(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(5(4(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(5(3(4(1(x1:S))))) 0.00/0.05 5(1(1(x1:S))) -> 5(4(1(1(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 3(5(2(3(1(1(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 4(1(2(1(5(4(x1:S)))))) 0.00/0.05 5(1(5(1(x1:S)))) -> 5(4(1(5(1(x1:S))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 1(4(0(5(4(2(x1:S)))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 5(0(4(2(2(1(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 1(5(4(0(2(3(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 4(5(2(1(3(0(x1:S)))))) 0.00/0.05 5(5(1(0(0(x1:S))))) -> 5(5(0(4(1(0(x1:S)))))) 0.00/0.05 5(3(0(1(x1:S)))) -> 0(1(5(2(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(5(0(4(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(3(0(4(3(5(x1:S)))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(4(3(5(0(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 5(4(3(1(0(x1:S))))) 0.00/0.05 5(3(1(1(x1:S)))) -> 1(1(5(3(3(4(x1:S)))))) 0.00/0.05 ->Strongly Connected Components: 0.00/0.05 There is no strongly connected component 0.00/0.05 0.00/0.05 The problem is finite. 0.00/0.05 0.00/0.05 Problem 1.2: 0.00/0.05 0.00/0.05 Subterm Processor: 0.00/0.05 -> Pairs: 0.00/0.05 0#(1(5(0(x1:S)))) -> 5#(x1:S) 0.00/0.05 0#(3(0(1(x1:S)))) -> 0#(x1:S) 0.00/0.05 5#(0(1(4(0(x1:S))))) -> 0#(0(x1:S)) 0.00/0.05 5#(1(0(x1:S))) -> 5#(x1:S) 0.00/0.05 5#(3(1(0(x1:S)))) -> 5#(0(x1:S)) 0.00/0.05 5#(3(1(0(x1:S)))) -> 5#(x1:S) 0.00/0.05 -> Rules: 0.00/0.05 0(0(1(x1:S))) -> 0(2(3(0(1(x1:S))))) 0.00/0.05 0(0(1(x1:S))) -> 0(4(0(5(4(1(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 2(1(0(0(3(4(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 4(0(5(4(0(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(5(4(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 1(0(0(5(4(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 1(0(3(4(1(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 5(0(3(4(1(1(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(0(5(4(1(5(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(5(4(2(1(0(x1:S)))))) 0.00/0.05 0(1(2(5(0(x1:S))))) -> 1(5(4(0(2(0(x1:S)))))) 0.00/0.05 0(1(3(0(x1:S)))) -> 0(2(0(2(1(3(x1:S)))))) 0.00/0.05 0(1(4(2(0(x1:S))))) -> 1(0(4(2(3(0(x1:S)))))) 0.00/0.05 0(3(0(1(x1:S)))) -> 0(0(4(1(3(0(x1:S)))))) 0.00/0.05 0(3(1(0(x1:S)))) -> 0(0(2(3(1(x1:S))))) 0.00/0.05 0(3(1(1(x1:S)))) -> 5(1(1(0(3(4(x1:S)))))) 0.00/0.05 1(4(5(1(0(x1:S))))) -> 5(4(2(1(1(0(x1:S)))))) 0.00/0.05 5(0(1(0(x1:S)))) -> 5(0(0(4(1(3(x1:S)))))) 0.00/0.05 5(0(1(4(0(x1:S))))) -> 1(4(5(4(0(0(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(x1:S)))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(2(1(2(x1:S))))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(4(3(0(1(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 2(5(4(0(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 0(5(0(2(2(1(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(5(0(4(4(2(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(4(0(5(2(3(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(5(4(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(2(2(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 4(4(1(0(4(5(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(5(4(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(5(3(4(1(x1:S))))) 0.00/0.05 5(1(1(x1:S))) -> 5(4(1(1(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 3(5(2(3(1(1(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 4(1(2(1(5(4(x1:S)))))) 0.00/0.05 5(1(5(1(x1:S)))) -> 5(4(1(5(1(x1:S))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 1(4(0(5(4(2(x1:S)))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 5(0(4(2(2(1(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 1(5(4(0(2(3(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 4(5(2(1(3(0(x1:S)))))) 0.00/0.05 5(5(1(0(0(x1:S))))) -> 5(5(0(4(1(0(x1:S)))))) 0.00/0.05 5(3(0(1(x1:S)))) -> 0(1(5(2(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(5(0(4(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(3(0(4(3(5(x1:S)))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(4(3(5(0(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 5(4(3(1(0(x1:S))))) 0.00/0.05 5(3(1(1(x1:S)))) -> 1(1(5(3(3(4(x1:S)))))) 0.00/0.05 ->Projection: 0.00/0.05 pi(0#) = 1 0.00/0.05 pi(5#) = 1 0.00/0.05 0.00/0.05 Problem 1.2: 0.00/0.05 0.00/0.05 SCC Processor: 0.00/0.05 -> Pairs: 0.00/0.05 Empty 0.00/0.05 -> Rules: 0.00/0.05 0(0(1(x1:S))) -> 0(2(3(0(1(x1:S))))) 0.00/0.05 0(0(1(x1:S))) -> 0(4(0(5(4(1(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 2(1(0(0(3(4(x1:S)))))) 0.00/0.05 0(0(1(x1:S))) -> 4(0(5(4(0(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(1(2(x1:S))))) 0.00/0.05 0(1(0(x1:S))) -> 0(0(2(5(4(1(x1:S)))))) 0.00/0.05 0(1(0(x1:S))) -> 1(0(0(5(4(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 1(0(3(4(1(x1:S))))) 0.00/0.05 0(1(1(x1:S))) -> 5(0(3(4(1(1(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(0(5(4(1(5(x1:S)))))) 0.00/0.05 0(1(5(0(x1:S)))) -> 0(5(4(2(1(0(x1:S)))))) 0.00/0.05 0(1(2(5(0(x1:S))))) -> 1(5(4(0(2(0(x1:S)))))) 0.00/0.05 0(1(3(0(x1:S)))) -> 0(2(0(2(1(3(x1:S)))))) 0.00/0.05 0(1(4(2(0(x1:S))))) -> 1(0(4(2(3(0(x1:S)))))) 0.00/0.05 0(3(0(1(x1:S)))) -> 0(0(4(1(3(0(x1:S)))))) 0.00/0.05 0(3(1(0(x1:S)))) -> 0(0(2(3(1(x1:S))))) 0.00/0.05 0(3(1(1(x1:S)))) -> 5(1(1(0(3(4(x1:S)))))) 0.00/0.05 1(4(5(1(0(x1:S))))) -> 5(4(2(1(1(0(x1:S)))))) 0.00/0.05 5(0(1(0(x1:S)))) -> 5(0(0(4(1(3(x1:S)))))) 0.00/0.05 5(0(1(4(0(x1:S))))) -> 1(4(5(4(0(0(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(4(4(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 0(5(4(1(x1:S)))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(2(1(2(x1:S))))) 0.00/0.05 5(0(1(x1:S))) -> 5(0(4(3(0(1(x1:S)))))) 0.00/0.05 5(0(1(x1:S))) -> 2(5(4(0(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 0(5(0(2(2(1(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(5(0(4(4(2(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 1(4(0(5(2(3(x1:S)))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(5(4(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 5(0(2(2(1(x1:S))))) 0.00/0.05 5(1(0(x1:S))) -> 4(4(1(0(4(5(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(5(4(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 1(1(4(5(4(4(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 1(5(3(4(1(x1:S))))) 0.00/0.05 5(1(1(x1:S))) -> 5(4(1(1(x1:S)))) 0.00/0.05 5(1(1(x1:S))) -> 3(5(2(3(1(1(x1:S)))))) 0.00/0.05 5(1(1(x1:S))) -> 4(1(2(1(5(4(x1:S)))))) 0.00/0.05 5(1(5(1(x1:S)))) -> 5(4(1(5(1(x1:S))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 1(4(0(5(4(2(x1:S)))))) 0.00/0.05 5(1(2(0(x1:S)))) -> 5(0(4(2(2(1(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 1(5(4(0(2(3(x1:S)))))) 0.00/0.05 5(1(4(0(x1:S)))) -> 4(5(2(1(3(0(x1:S)))))) 0.00/0.05 5(5(1(0(0(x1:S))))) -> 5(5(0(4(1(0(x1:S)))))) 0.00/0.05 5(3(0(1(x1:S)))) -> 0(1(5(2(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(5(0(4(3(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(3(0(4(3(5(x1:S)))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 1(4(3(5(0(x1:S))))) 0.00/0.05 5(3(1(0(x1:S)))) -> 5(4(3(1(0(x1:S))))) 0.00/0.05 5(3(1(1(x1:S)))) -> 1(1(5(3(3(4(x1:S)))))) 0.00/0.05 ->Strongly Connected Components: 0.00/0.05 There is no strongly connected component 0.00/0.05 0.00/0.05 The problem is finite. 0.00/0.05 EOF