180.19/179.97 YES 180.19/179.97 180.19/179.97 Problem 1: 180.19/179.97 180.19/179.97 (VAR v_NonEmpty:S x1:S) 180.19/179.97 (RULES 180.19/179.97 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.97 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.97 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.97 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.97 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.97 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.97 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.97 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.97 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.97 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.97 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.97 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.97 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.97 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.97 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.97 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.97 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.97 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.97 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.97 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.97 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.97 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.97 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.97 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.97 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.97 ) 180.19/179.97 180.19/179.97 Problem 1: 180.19/179.97 180.19/179.97 Dependency Pairs Processor: 180.19/179.97 -> Pairs: 180.19/179.97 0#(0(1(2(x1:S)))) -> 0#(x1:S) 180.19/179.97 0#(0(1(2(x1:S)))) -> 2#(3(0(x1:S))) 180.19/179.97 0#(0(1(2(x1:S)))) -> 3#(0(x1:S)) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(0(2(0(x1:S))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.97 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.97 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.97 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.97 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.97 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.97 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.97 -> Rules: 180.19/179.97 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.97 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.97 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.97 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.97 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.97 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.97 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.97 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.97 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.97 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.97 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.97 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.97 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.97 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.97 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.97 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.97 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.97 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.97 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.97 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.97 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.97 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.97 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.97 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.97 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.97 180.19/179.97 Problem 1: 180.19/179.97 180.19/179.97 SCC Processor: 180.19/179.97 -> Pairs: 180.19/179.97 0#(0(1(2(x1:S)))) -> 0#(x1:S) 180.19/179.97 0#(0(1(2(x1:S)))) -> 2#(3(0(x1:S))) 180.19/179.97 0#(0(1(2(x1:S)))) -> 3#(0(x1:S)) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(0(2(0(x1:S))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.97 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.97 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.97 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.97 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.97 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.97 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.97 -> Rules: 180.19/179.97 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.97 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.97 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.97 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.97 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.97 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.97 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.97 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.97 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.97 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.97 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.97 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.97 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.97 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.97 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.97 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.97 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.97 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.97 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.97 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.97 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.97 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.97 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.97 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.97 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.97 ->Strongly Connected Components: 180.19/179.97 ->->Cycle: 180.19/179.97 ->->-> Pairs: 180.19/179.97 0#(0(1(2(x1:S)))) -> 0#(x1:S) 180.19/179.97 0#(0(1(2(x1:S)))) -> 2#(3(0(x1:S))) 180.19/179.97 0#(0(1(2(x1:S)))) -> 3#(0(x1:S)) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(0(2(0(x1:S))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.97 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.97 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.97 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.97 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.97 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.97 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.97 ->->-> Rules: 180.19/179.97 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.97 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.97 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.97 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.97 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.97 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.97 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.97 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.97 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.97 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.97 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.97 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.97 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.97 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.97 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.97 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.97 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.97 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.97 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.97 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.97 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.97 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.97 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.97 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.97 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.97 180.19/179.97 Problem 1: 180.19/179.97 180.19/179.97 Reduction Pair Processor: 180.19/179.97 -> Pairs: 180.19/179.97 0#(0(1(2(x1:S)))) -> 0#(x1:S) 180.19/179.97 0#(0(1(2(x1:S)))) -> 2#(3(0(x1:S))) 180.19/179.97 0#(0(1(2(x1:S)))) -> 3#(0(x1:S)) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(0(2(0(x1:S))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.97 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.97 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.97 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.97 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.97 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.97 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.97 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.97 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.97 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.97 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.97 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.97 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.97 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.97 -> Rules: 180.19/179.97 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.97 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.97 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.97 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.97 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.97 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.97 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.97 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.97 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.97 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.97 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.97 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.97 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.97 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.97 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.97 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.97 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.97 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.97 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.97 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.97 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.97 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.97 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.97 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.97 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.97 -> Usable rules: 180.19/179.97 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.97 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.97 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.97 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.97 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.97 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.97 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.97 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.97 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.97 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.97 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.97 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.97 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.97 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.97 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.97 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.97 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.97 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.97 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.97 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.97 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.97 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.97 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.97 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.97 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.97 ->Interpretation type: 180.19/179.97 Linear 180.19/179.97 ->Coefficients: 180.19/179.97 Natural Numbers 180.19/179.97 ->Dimension: 180.19/179.97 1 180.19/179.97 ->Bound: 180.19/179.97 2 180.19/179.97 ->Interpretation: 180.19/179.97 180.19/179.97 [0](X) = X + 2 180.19/179.97 [1](X) = X + 2 180.19/179.97 [2](X) = X + 2 180.19/179.97 [3](X) = X + 2 180.19/179.97 [4](X) = X + 2 180.19/179.97 [5](X) = X + 2 180.19/179.97 [0#](X) = 2.X + 2 180.19/179.97 [1#](X) = 2.X + 2 180.19/179.97 [2#](X) = 2.X + 2 180.19/179.97 [3#](X) = 2.X 180.19/179.97 [4#](X) = 2.X + 2 180.19/179.97 [5#](X) = 2.X + 2 180.19/179.97 180.19/179.97 Problem 1: 180.19/179.97 180.19/179.97 SCC Processor: 180.19/179.97 -> Pairs: 180.19/179.97 0#(0(1(2(x1:S)))) -> 2#(3(0(x1:S))) 180.19/179.97 0#(0(1(2(x1:S)))) -> 3#(0(x1:S)) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(0(2(0(x1:S))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.97 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.97 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.97 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.97 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.97 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.97 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.97 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.97 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.97 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.97 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.97 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.97 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.97 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.97 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.97 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.97 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.97 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.97 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.97 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.97 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.97 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.98 -> Rules: 180.19/179.98 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.98 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.98 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.98 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.98 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.98 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.98 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.98 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.98 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.98 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.98 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.98 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.98 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 ->Strongly Connected Components: 180.19/179.98 ->->Cycle: 180.19/179.98 ->->-> Pairs: 180.19/179.98 0#(0(1(2(x1:S)))) -> 2#(3(0(x1:S))) 180.19/179.98 0#(0(1(2(x1:S)))) -> 3#(0(x1:S)) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(0(2(0(x1:S))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.98 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.98 ->->-> Rules: 180.19/179.98 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.98 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.98 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.98 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.98 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.98 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.98 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.98 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.98 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.98 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.98 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.98 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.98 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 180.19/179.98 Problem 1: 180.19/179.98 180.19/179.98 Reduction Pair Processor: 180.19/179.98 -> Pairs: 180.19/179.98 0#(0(1(2(x1:S)))) -> 2#(3(0(x1:S))) 180.19/179.98 0#(0(1(2(x1:S)))) -> 3#(0(x1:S)) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(0(2(0(x1:S))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.98 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.98 -> Rules: 180.19/179.98 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.98 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.98 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.98 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.98 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.98 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.98 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.98 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.98 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.98 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.98 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.98 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.98 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 -> Usable rules: 180.19/179.98 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.98 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.98 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.98 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.98 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.98 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.98 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.98 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.98 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.98 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.98 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.98 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.98 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 ->Interpretation type: 180.19/179.98 Linear 180.19/179.98 ->Coefficients: 180.19/179.98 Natural Numbers 180.19/179.98 ->Dimension: 180.19/179.98 1 180.19/179.98 ->Bound: 180.19/179.98 2 180.19/179.98 ->Interpretation: 180.19/179.98 180.19/179.98 [0](X) = X + 2 180.19/179.98 [1](X) = X + 2 180.19/179.98 [2](X) = X + 2 180.19/179.98 [3](X) = X + 2 180.19/179.98 [4](X) = X + 2 180.19/179.98 [5](X) = X + 2 180.19/179.98 [0#](X) = 2.X + 2 180.19/179.98 [1#](X) = 2.X + 2 180.19/179.98 [2#](X) = 2.X + 2 180.19/179.98 [3#](X) = 2.X + 1 180.19/179.98 [4#](X) = 2.X + 1 180.19/179.98 [5#](X) = 2.X + 2 180.19/179.98 180.19/179.98 Problem 1: 180.19/179.98 180.19/179.98 SCC Processor: 180.19/179.98 -> Pairs: 180.19/179.98 0#(0(1(2(x1:S)))) -> 3#(0(x1:S)) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(0(2(0(x1:S))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.98 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.98 -> Rules: 180.19/179.98 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.98 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.98 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.98 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.98 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.98 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.98 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.98 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.98 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.98 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.98 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.98 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.98 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 ->Strongly Connected Components: 180.19/179.98 ->->Cycle: 180.19/179.98 ->->-> Pairs: 180.19/179.98 0#(0(1(2(x1:S)))) -> 3#(0(x1:S)) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(0(2(0(x1:S))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.98 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.98 ->->-> Rules: 180.19/179.98 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.98 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.98 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.98 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.98 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.98 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.98 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.98 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.98 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.98 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.98 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.98 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.98 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 180.19/179.98 Problem 1: 180.19/179.98 180.19/179.98 Reduction Pair Processor: 180.19/179.98 -> Pairs: 180.19/179.98 0#(0(1(2(x1:S)))) -> 3#(0(x1:S)) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(0(2(0(x1:S))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.98 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.98 -> Rules: 180.19/179.98 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.98 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.98 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.98 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.98 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.98 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.98 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.98 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.98 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.98 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.98 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.98 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.98 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 -> Usable rules: 180.19/179.98 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.98 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.98 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.98 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.98 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.98 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.98 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.98 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.98 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.98 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.98 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.98 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.98 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 ->Interpretation type: 180.19/179.98 Linear 180.19/179.98 ->Coefficients: 180.19/179.98 Natural Numbers 180.19/179.98 ->Dimension: 180.19/179.98 1 180.19/179.98 ->Bound: 180.19/179.98 2 180.19/179.98 ->Interpretation: 180.19/179.98 180.19/179.98 [0](X) = X + 2 180.19/179.98 [1](X) = X + 2 180.19/179.98 [2](X) = X + 2 180.19/179.98 [3](X) = X + 2 180.19/179.98 [4](X) = X + 2 180.19/179.98 [5](X) = X + 2 180.19/179.98 [0#](X) = 2.X + 2 180.19/179.98 [1#](X) = 2.X + 2 180.19/179.98 [2#](X) = 2.X + 2 180.19/179.98 [3#](X) = 2.X 180.19/179.98 [4#](X) = 2.X + 2 180.19/179.98 [5#](X) = 2.X + 2 180.19/179.98 180.19/179.98 Problem 1: 180.19/179.98 180.19/179.98 SCC Processor: 180.19/179.98 -> Pairs: 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(0(2(0(x1:S))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.98 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.98 -> Rules: 180.19/179.98 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.98 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.98 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.98 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.98 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.98 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.98 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.98 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.98 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.98 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.98 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.98 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.98 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 ->Strongly Connected Components: 180.19/179.98 ->->Cycle: 180.19/179.98 ->->-> Pairs: 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(0(2(0(x1:S))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.98 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.98 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.98 ->->-> Rules: 180.19/179.98 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.98 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.98 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.98 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.98 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.98 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.98 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.98 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.98 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.98 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.98 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.98 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.98 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.98 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.98 180.19/179.98 Problem 1: 180.19/179.98 180.19/179.98 Reduction Pair Processor: 180.19/179.98 -> Pairs: 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(0(2(0(x1:S))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.98 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.98 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.98 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.98 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.98 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.98 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.98 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.98 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.98 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.98 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.98 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.98 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.98 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.98 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.98 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.98 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.98 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.98 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.98 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.98 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.98 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.98 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.98 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.98 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.99 -> Rules: 180.19/179.99 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.99 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.99 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.99 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.99 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.99 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.99 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.99 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.99 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.99 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.99 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.99 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.99 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 -> Usable rules: 180.19/179.99 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.99 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.99 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.99 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.99 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.99 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.99 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.99 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.99 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.99 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.99 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.99 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.99 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 ->Interpretation type: 180.19/179.99 Linear 180.19/179.99 ->Coefficients: 180.19/179.99 Natural Numbers 180.19/179.99 ->Dimension: 180.19/179.99 1 180.19/179.99 ->Bound: 180.19/179.99 2 180.19/179.99 ->Interpretation: 180.19/179.99 180.19/179.99 [0](X) = X + 2 180.19/179.99 [1](X) = X + 2 180.19/179.99 [2](X) = X + 2 180.19/179.99 [3](X) = X + 2 180.19/179.99 [4](X) = X + 2 180.19/179.99 [5](X) = X + 2 180.19/179.99 [0#](X) = 2.X + 2 180.19/179.99 [1#](X) = 2.X + 2 180.19/179.99 [2#](X) = 2.X + 2 180.19/179.99 [3#](X) = 2.X 180.19/179.99 [4#](X) = 2.X + 1 180.19/179.99 [5#](X) = 2.X + 2 180.19/179.99 180.19/179.99 Problem 1: 180.19/179.99 180.19/179.99 SCC Processor: 180.19/179.99 -> Pairs: 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.99 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.99 -> Rules: 180.19/179.99 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.99 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.99 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.99 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.99 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.99 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.99 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.99 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.99 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.99 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.99 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.99 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.99 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 ->Strongly Connected Components: 180.19/179.99 ->->Cycle: 180.19/179.99 ->->-> Pairs: 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.99 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.99 ->->-> Rules: 180.19/179.99 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.99 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.99 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.99 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.99 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.99 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.99 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.99 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.99 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.99 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.99 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.99 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.99 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 180.19/179.99 Problem 1: 180.19/179.99 180.19/179.99 Reduction Pair Processor: 180.19/179.99 -> Pairs: 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(0(2(0(x1:S)))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.99 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.99 -> Rules: 180.19/179.99 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.99 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.99 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.99 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.99 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.99 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.99 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.99 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.99 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.99 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.99 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.99 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.99 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 -> Usable rules: 180.19/179.99 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.99 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.99 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.99 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.99 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.99 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.99 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.99 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.99 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.99 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.99 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.99 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.99 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 ->Interpretation type: 180.19/179.99 Linear 180.19/179.99 ->Coefficients: 180.19/179.99 Natural Numbers 180.19/179.99 ->Dimension: 180.19/179.99 1 180.19/179.99 ->Bound: 180.19/179.99 2 180.19/179.99 ->Interpretation: 180.19/179.99 180.19/179.99 [0](X) = X + 2 180.19/179.99 [1](X) = X + 2 180.19/179.99 [2](X) = X + 2 180.19/179.99 [3](X) = X + 2 180.19/179.99 [4](X) = X + 2 180.19/179.99 [5](X) = X + 2 180.19/179.99 [0#](X) = 2.X + 2 180.19/179.99 [1#](X) = 2.X + 2 180.19/179.99 [2#](X) = 2.X + 2 180.19/179.99 [3#](X) = 2.X + 2 180.19/179.99 [4#](X) = 2.X + 2 180.19/179.99 [5#](X) = 2.X + 2 180.19/179.99 180.19/179.99 Problem 1: 180.19/179.99 180.19/179.99 SCC Processor: 180.19/179.99 -> Pairs: 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.99 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.99 -> Rules: 180.19/179.99 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.99 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.99 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.99 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.99 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.99 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.99 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.99 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.99 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.99 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.99 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.99 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.99 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 ->Strongly Connected Components: 180.19/179.99 ->->Cycle: 180.19/179.99 ->->-> Pairs: 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.99 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.99 ->->-> Rules: 180.19/179.99 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.99 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.99 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.99 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.99 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.99 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.99 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.99 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.99 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.99 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.99 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.99 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.99 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 180.19/179.99 Problem 1: 180.19/179.99 180.19/179.99 Reduction Pair Processor: 180.19/179.99 -> Pairs: 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(2(0(x1:S))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.99 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.99 -> Rules: 180.19/179.99 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.99 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.99 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.99 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.99 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.99 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.99 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.99 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.99 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.99 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.99 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.99 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.99 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 -> Usable rules: 180.19/179.99 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.99 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.99 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.99 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.99 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.99 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.99 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.99 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.99 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.99 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.99 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.99 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.99 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 ->Interpretation type: 180.19/179.99 Linear 180.19/179.99 ->Coefficients: 180.19/179.99 Natural Numbers 180.19/179.99 ->Dimension: 180.19/179.99 1 180.19/179.99 ->Bound: 180.19/179.99 2 180.19/179.99 ->Interpretation: 180.19/179.99 180.19/179.99 [0](X) = X + 2 180.19/179.99 [1](X) = X + 2 180.19/179.99 [2](X) = X + 2 180.19/179.99 [3](X) = X + 2 180.19/179.99 [4](X) = X + 2 180.19/179.99 [5](X) = X + 2 180.19/179.99 [0#](X) = 2.X + 1 180.19/179.99 [1#](X) = 2.X + 2 180.19/179.99 [2#](X) = 2.X + 2 180.19/179.99 [3#](X) = 2.X + 2 180.19/179.99 [4#](X) = 2.X + 2 180.19/179.99 [5#](X) = 2.X + 2 180.19/179.99 180.19/179.99 Problem 1: 180.19/179.99 180.19/179.99 SCC Processor: 180.19/179.99 -> Pairs: 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.99 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.99 -> Rules: 180.19/179.99 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.99 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.99 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.99 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.99 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.99 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.99 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.99 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.99 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.99 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.99 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.99 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.99 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 ->Strongly Connected Components: 180.19/179.99 ->->Cycle: 180.19/179.99 ->->-> Pairs: 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/179.99 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/179.99 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/179.99 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/179.99 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/179.99 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/179.99 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/179.99 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/179.99 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/179.99 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/179.99 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/179.99 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/179.99 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/179.99 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/179.99 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/179.99 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/179.99 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/179.99 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/179.99 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/179.99 ->->-> Rules: 180.19/179.99 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/179.99 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/179.99 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/179.99 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/179.99 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/179.99 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/179.99 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/179.99 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/179.99 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/179.99 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/179.99 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/179.99 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/179.99 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/179.99 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/179.99 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/179.99 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/179.99 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/179.99 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/179.99 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/179.99 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/179.99 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/179.99 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/179.99 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/179.99 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/179.99 180.19/179.99 Problem 1: 180.19/179.99 180.19/179.99 Reduction Pair Processor: 180.19/179.99 -> Pairs: 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 0#(4(0(0(0(2(0(x1:S))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/179.99 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/179.99 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/179.99 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/180.00 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/180.00 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/180.00 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/180.00 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/180.00 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/180.00 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/180.00 -> Rules: 180.19/180.00 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/180.00 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/180.00 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/180.00 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/180.00 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/180.00 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/180.00 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/180.00 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/180.00 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/180.00 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/180.00 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/180.00 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/180.00 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/180.00 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/180.00 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/180.00 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/180.00 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/180.00 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/180.00 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/180.00 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/180.00 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/180.00 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/180.00 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/180.00 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/180.00 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/180.00 -> Usable rules: 180.19/180.00 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/180.00 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/180.00 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/180.00 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/180.00 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/180.00 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/180.00 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/180.00 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/180.00 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/180.00 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/180.00 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/180.00 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/180.00 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/180.00 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/180.00 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/180.00 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/180.00 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/180.00 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/180.00 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/180.00 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/180.00 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/180.00 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/180.00 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/180.00 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/180.00 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/180.00 ->Interpretation type: 180.19/180.00 Linear 180.19/180.00 ->Coefficients: 180.19/180.00 Natural Numbers 180.19/180.00 ->Dimension: 180.19/180.00 1 180.19/180.00 ->Bound: 180.19/180.00 2 180.19/180.00 ->Interpretation: 180.19/180.00 180.19/180.00 [0](X) = X + 2 180.19/180.00 [1](X) = X + 2 180.19/180.00 [2](X) = X + 2 180.19/180.00 [3](X) = X + 2 180.19/180.00 [4](X) = X + 2 180.19/180.00 [5](X) = X + 2 180.19/180.00 [0#](X) = 2.X + 2 180.19/180.00 [1#](X) = 2.X + 1 180.19/180.00 [2#](X) = 2.X + 1 180.19/180.00 [3#](X) = 2.X + 2 180.19/180.00 [4#](X) = 2.X + 2 180.19/180.00 [5#](X) = 2.X + 1 180.19/180.00 180.19/180.00 Problem 1: 180.19/180.00 180.19/180.00 SCC Processor: 180.19/180.00 -> Pairs: 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/180.00 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/180.00 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/180.00 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/180.00 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/180.00 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/180.00 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/180.00 -> Rules: 180.19/180.00 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/180.00 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/180.00 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/180.00 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/180.00 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/180.00 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/180.00 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/180.00 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/180.00 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/180.00 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/180.00 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/180.00 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/180.00 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/180.00 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/180.00 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/180.00 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/180.00 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/180.00 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/180.00 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/180.00 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/180.00 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/180.00 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/180.00 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/180.00 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/180.00 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/180.00 ->Strongly Connected Components: 180.19/180.00 ->->Cycle: 180.19/180.00 ->->-> Pairs: 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/180.00 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/180.00 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/180.00 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/180.00 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/180.00 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/180.00 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/180.00 ->->-> Rules: 180.19/180.00 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/180.00 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/180.00 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/180.00 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/180.00 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/180.00 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/180.00 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/180.00 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/180.00 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/180.00 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/180.00 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/180.00 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/180.00 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/180.00 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/180.00 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/180.00 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/180.00 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/180.00 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/180.00 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/180.00 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/180.00 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/180.00 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/180.00 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/180.00 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/180.00 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/180.00 180.19/180.00 Problem 1: 180.19/180.00 180.19/180.00 Reduction Pair Processor: 180.19/180.00 -> Pairs: 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 1#(2(3(0(4(0(0(0(2(0(x1:S)))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/180.00 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/180.00 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/180.00 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/180.00 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/180.00 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/180.00 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/180.00 -> Rules: 180.19/180.00 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/180.00 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/180.00 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/180.00 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/180.00 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/180.00 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/180.00 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/180.00 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/180.00 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/180.00 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/180.00 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/180.00 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/180.00 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/180.00 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/180.00 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/180.00 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/180.00 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/180.00 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/180.00 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/180.00 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/180.00 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/180.00 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/180.00 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/180.00 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/180.00 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/180.00 -> Usable rules: 180.19/180.00 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/180.00 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/180.00 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/180.00 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/180.00 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/180.00 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/180.00 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/180.00 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/180.00 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/180.00 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/180.00 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/180.00 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/180.00 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/180.00 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/180.00 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/180.00 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/180.00 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/180.00 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/180.00 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/180.00 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/180.00 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/180.00 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/180.00 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/180.00 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/180.00 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/180.00 ->Interpretation type: 180.19/180.00 Linear 180.19/180.00 ->Coefficients: 180.19/180.00 Natural Numbers 180.19/180.00 ->Dimension: 180.19/180.00 1 180.19/180.00 ->Bound: 180.19/180.00 2 180.19/180.00 ->Interpretation: 180.19/180.00 180.19/180.00 [0](X) = X + 2 180.19/180.00 [1](X) = X + 2 180.19/180.00 [2](X) = X + 2 180.19/180.00 [3](X) = X + 2 180.19/180.00 [4](X) = X + 2 180.19/180.00 [5](X) = X + 2 180.19/180.00 [0#](X) = 2.X + 2 180.19/180.00 [1#](X) = 2.X + 2 180.19/180.00 [2#](X) = 2.X + 2 180.19/180.00 [3#](X) = 2.X + 2 180.19/180.00 [4#](X) = 2.X + 2 180.19/180.00 [5#](X) = 2.X + 2 180.19/180.00 180.19/180.00 Problem 1: 180.19/180.00 180.19/180.00 SCC Processor: 180.19/180.00 -> Pairs: 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/180.00 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/180.00 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/180.00 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/180.00 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/180.00 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/180.00 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.19/180.00 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.19/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.19/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.19/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.19/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.19/180.00 -> Rules: 180.19/180.00 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.19/180.00 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/180.00 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.19/180.00 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.19/180.00 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/180.00 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/180.00 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.19/180.00 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.19/180.00 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/180.00 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.19/180.00 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.19/180.00 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.19/180.00 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.19/180.00 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.19/180.00 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/180.00 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.19/180.00 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.19/180.00 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.19/180.00 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.19/180.00 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.19/180.00 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.19/180.00 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.19/180.00 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.19/180.00 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.19/180.00 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.19/180.00 ->Strongly Connected Components: 180.19/180.00 ->->Cycle: 180.19/180.00 ->->-> Pairs: 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.19/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.19/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.19/180.00 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.19/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.19/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.19/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.19/180.00 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.19/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.19/180.00 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.19/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.19/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.19/180.00 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.19/180.00 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.19/180.00 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.19/180.00 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.19/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.19/180.00 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.19/180.00 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.19/180.00 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.19/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.19/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.19/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.00 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.00 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.00 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.00 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.00 ->->-> Rules: 180.27/180.00 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.00 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.00 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.00 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.00 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.00 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.00 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.00 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.00 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.00 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.00 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.00 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.00 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.00 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.00 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.00 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.00 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.00 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.00 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.00 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.00 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.00 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.00 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.00 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.00 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.00 180.27/180.00 Problem 1: 180.27/180.00 180.27/180.00 Reduction Pair Processor: 180.27/180.00 -> Pairs: 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(0(x1:S)) 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.00 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.00 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.00 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.00 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.00 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.00 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.00 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.00 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.00 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.00 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.00 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.00 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.00 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.00 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.00 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.00 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.00 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.00 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.00 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.00 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.00 -> Rules: 180.27/180.00 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.00 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.00 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.00 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.00 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.00 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.00 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.00 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.00 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.00 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.00 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.00 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.00 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.00 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.00 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.00 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.00 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.00 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.00 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.00 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.00 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.00 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.00 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.00 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.00 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.00 -> Usable rules: 180.27/180.00 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.00 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.00 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.00 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.00 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.00 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.00 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.00 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.00 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.00 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.00 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.00 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.00 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.00 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.00 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.00 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.00 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.00 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.00 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.00 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.00 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.00 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.00 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.00 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.00 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.00 ->Interpretation type: 180.27/180.00 Linear 180.27/180.00 ->Coefficients: 180.27/180.00 Natural Numbers 180.27/180.00 ->Dimension: 180.27/180.00 1 180.27/180.00 ->Bound: 180.27/180.00 2 180.27/180.00 ->Interpretation: 180.27/180.00 180.27/180.00 [0](X) = X + 2 180.27/180.00 [1](X) = X + 2 180.27/180.00 [2](X) = X + 2 180.27/180.00 [3](X) = X + 2 180.27/180.00 [4](X) = X + 2 180.27/180.00 [5](X) = X + 2 180.27/180.00 [0#](X) = 2.X + 2 180.27/180.00 [1#](X) = 2.X + 2 180.27/180.00 [2#](X) = 2.X + 2 180.27/180.00 [3#](X) = 2.X 180.27/180.00 [4#](X) = 2.X + 1 180.27/180.00 [5#](X) = 2.X + 2 180.27/180.00 180.27/180.00 Problem 1: 180.27/180.00 180.27/180.00 SCC Processor: 180.27/180.00 -> Pairs: 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.00 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.00 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.00 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.00 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.00 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.00 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.00 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.00 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.00 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.00 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.00 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.00 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.00 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.00 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.00 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.00 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.00 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.00 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.00 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.00 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.00 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.00 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.00 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.00 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.00 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.00 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.00 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.00 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.00 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.00 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.00 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.00 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.00 -> Rules: 180.27/180.00 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.00 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.00 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.00 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.00 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.00 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.00 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.00 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.00 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.00 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.00 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.00 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.00 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.00 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.00 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.00 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.00 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.00 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.00 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.00 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.00 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.00 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.00 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.00 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.00 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.00 ->Strongly Connected Components: 180.27/180.00 ->->Cycle: 180.27/180.00 ->->-> Pairs: 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.00 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.00 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.00 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.00 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.00 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.00 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.00 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.00 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.00 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.00 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.00 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.00 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.00 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.00 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.01 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.01 ->->-> Rules: 180.27/180.01 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.01 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.01 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.01 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.01 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.01 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.01 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.01 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.01 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.01 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.01 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.01 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.01 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 180.27/180.01 Problem 1: 180.27/180.01 180.27/180.01 Reduction Pair Processor: 180.27/180.01 -> Pairs: 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 2#(3(0(4(0(0(0(2(0(x1:S))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.01 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.01 -> Rules: 180.27/180.01 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.01 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.01 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.01 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.01 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.01 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.01 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.01 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.01 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.01 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.01 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.01 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.01 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 -> Usable rules: 180.27/180.01 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.01 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.01 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.01 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.01 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.01 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.01 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.01 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.01 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.01 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.01 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.01 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.01 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 ->Interpretation type: 180.27/180.01 Linear 180.27/180.01 ->Coefficients: 180.27/180.01 Natural Numbers 180.27/180.01 ->Dimension: 180.27/180.01 1 180.27/180.01 ->Bound: 180.27/180.01 2 180.27/180.01 ->Interpretation: 180.27/180.01 180.27/180.01 [0](X) = X + 2 180.27/180.01 [1](X) = X + 2 180.27/180.01 [2](X) = X + 2 180.27/180.01 [3](X) = X + 2 180.27/180.01 [4](X) = X + 2 180.27/180.01 [5](X) = X + 2 180.27/180.01 [0#](X) = 2.X + 1 180.27/180.01 [1#](X) = 2.X + 2 180.27/180.01 [2#](X) = 2.X + 2 180.27/180.01 [3#](X) = 2.X + 2 180.27/180.01 [4#](X) = 2.X 180.27/180.01 [5#](X) = 2.X + 2 180.27/180.01 180.27/180.01 Problem 1: 180.27/180.01 180.27/180.01 SCC Processor: 180.27/180.01 -> Pairs: 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.01 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.01 -> Rules: 180.27/180.01 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.01 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.01 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.01 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.01 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.01 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.01 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.01 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.01 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.01 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.01 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.01 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.01 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 ->Strongly Connected Components: 180.27/180.01 ->->Cycle: 180.27/180.01 ->->-> Pairs: 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.01 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.01 ->->-> Rules: 180.27/180.01 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.01 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.01 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.01 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.01 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.01 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.01 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.01 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.01 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.01 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.01 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.01 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.01 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 180.27/180.01 Problem 1: 180.27/180.01 180.27/180.01 Reduction Pair Processor: 180.27/180.01 -> Pairs: 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(0(4(0(0(0(2(0(x1:S)))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.01 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.01 -> Rules: 180.27/180.01 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.01 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.01 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.01 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.01 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.01 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.01 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.01 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.01 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.01 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.01 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.01 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.01 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 -> Usable rules: 180.27/180.01 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.01 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.01 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.01 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.01 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.01 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.01 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.01 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.01 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.01 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.01 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.01 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.01 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 ->Interpretation type: 180.27/180.01 Linear 180.27/180.01 ->Coefficients: 180.27/180.01 Natural Numbers 180.27/180.01 ->Dimension: 180.27/180.01 1 180.27/180.01 ->Bound: 180.27/180.01 2 180.27/180.01 ->Interpretation: 180.27/180.01 180.27/180.01 [0](X) = X + 2 180.27/180.01 [1](X) = X + 2 180.27/180.01 [2](X) = X + 2 180.27/180.01 [3](X) = X + 2 180.27/180.01 [4](X) = X + 2 180.27/180.01 [5](X) = X + 2 180.27/180.01 [0#](X) = 2.X + 2 180.27/180.01 [1#](X) = 2.X + 2 180.27/180.01 [2#](X) = 2.X + 2 180.27/180.01 [3#](X) = 2.X 180.27/180.01 [4#](X) = 2.X 180.27/180.01 [5#](X) = 2.X + 2 180.27/180.01 180.27/180.01 Problem 1: 180.27/180.01 180.27/180.01 SCC Processor: 180.27/180.01 -> Pairs: 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.01 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.01 -> Rules: 180.27/180.01 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.01 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.01 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.01 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.01 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.01 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.01 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.01 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.01 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.01 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.01 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.01 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.01 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 ->Strongly Connected Components: 180.27/180.01 ->->Cycle: 180.27/180.01 ->->-> Pairs: 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.01 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.01 ->->-> Rules: 180.27/180.01 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.01 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.01 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.01 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.01 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.01 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.01 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.01 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.01 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.01 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.01 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.01 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.01 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 180.27/180.01 Problem 1: 180.27/180.01 180.27/180.01 Reduction Pair Processor: 180.27/180.01 -> Pairs: 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(1(2(3(0(4(0(0(0(2(0(x1:S))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.01 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.01 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.01 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.01 -> Rules: 180.27/180.01 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.01 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.01 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.01 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.01 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.01 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.01 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.01 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.01 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.01 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.01 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.01 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.01 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 -> Usable rules: 180.27/180.01 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.01 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.01 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.01 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.01 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.01 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.01 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.01 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.01 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.01 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.01 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.01 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.01 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.01 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.01 ->Interpretation type: 180.27/180.01 Linear 180.27/180.01 ->Coefficients: 180.27/180.01 Natural Numbers 180.27/180.01 ->Dimension: 180.27/180.01 1 180.27/180.01 ->Bound: 180.27/180.01 2 180.27/180.01 ->Interpretation: 180.27/180.01 180.27/180.01 [0](X) = X + 2 180.27/180.01 [1](X) = X + 2 180.27/180.01 [2](X) = X + 2 180.27/180.01 [3](X) = X + 2 180.27/180.01 [4](X) = X + 2 180.27/180.01 [5](X) = X + 2 180.27/180.01 [0#](X) = 2.X 180.27/180.01 [1#](X) = 2.X + 2 180.27/180.01 [2#](X) = 2.X + 2 180.27/180.01 [3#](X) = 2.X + 1 180.27/180.01 [4#](X) = 2.X + 1 180.27/180.01 [5#](X) = 2.X + 2 180.27/180.01 180.27/180.01 Problem 1: 180.27/180.01 180.27/180.01 SCC Processor: 180.27/180.01 -> Pairs: 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.01 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.01 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.01 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.01 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.01 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.01 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.01 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.01 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.01 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.01 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.01 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.01 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.01 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.01 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.01 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.01 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.01 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.01 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.01 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.01 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.01 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.01 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.01 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.02 -> Rules: 180.27/180.02 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.02 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.02 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.02 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.02 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.02 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.02 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.02 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.02 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.02 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.02 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.02 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.02 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 ->Strongly Connected Components: 180.27/180.02 ->->Cycle: 180.27/180.02 ->->-> Pairs: 180.27/180.02 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.02 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.02 ->->-> Rules: 180.27/180.02 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.02 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.02 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.02 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.02 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.02 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.02 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.02 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.02 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.02 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.02 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.02 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.02 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 180.27/180.02 Problem 1: 180.27/180.02 180.27/180.02 Reduction Pair Processor: 180.27/180.02 -> Pairs: 180.27/180.02 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3#(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.02 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.02 -> Rules: 180.27/180.02 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.02 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.02 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.02 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.02 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.02 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.02 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.02 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.02 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.02 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.02 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.02 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.02 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 -> Usable rules: 180.27/180.02 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.02 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.02 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.02 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.02 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.02 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.02 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.02 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.02 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.02 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.02 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.02 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.02 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 ->Interpretation type: 180.27/180.02 Linear 180.27/180.02 ->Coefficients: 180.27/180.02 Natural Numbers 180.27/180.02 ->Dimension: 180.27/180.02 1 180.27/180.02 ->Bound: 180.27/180.02 2 180.27/180.02 ->Interpretation: 180.27/180.02 180.27/180.02 [0](X) = X + 2 180.27/180.02 [1](X) = X + 2 180.27/180.02 [2](X) = X + 2 180.27/180.02 [3](X) = X + 2 180.27/180.02 [4](X) = X + 2 180.27/180.02 [5](X) = X + 2 180.27/180.02 [0#](X) = 2.X + 2 180.27/180.02 [1#](X) = 2.X + 2 180.27/180.02 [2#](X) = 2.X + 2 180.27/180.02 [3#](X) = 2.X 180.27/180.02 [4#](X) = 2.X + 2 180.27/180.02 [5#](X) = 2.X + 2 180.27/180.02 180.27/180.02 Problem 1: 180.27/180.02 180.27/180.02 SCC Processor: 180.27/180.02 -> Pairs: 180.27/180.02 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.02 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.02 -> Rules: 180.27/180.02 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.02 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.02 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.02 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.02 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.02 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.02 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.02 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.02 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.02 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.02 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.02 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.02 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 ->Strongly Connected Components: 180.27/180.02 ->->Cycle: 180.27/180.02 ->->-> Pairs: 180.27/180.02 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.02 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.02 ->->-> Rules: 180.27/180.02 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.02 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.02 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.02 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.02 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.02 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.02 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.02 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.02 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.02 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.02 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.02 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.02 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 180.27/180.02 Problem 1: 180.27/180.02 180.27/180.02 Reduction Pair Processor: 180.27/180.02 -> Pairs: 180.27/180.02 0#(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 4#(0(0(0(2(0(x1:S)))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.02 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.02 -> Rules: 180.27/180.02 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.02 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.02 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.02 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.02 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.02 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.02 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.02 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.02 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.02 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.02 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.02 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.02 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 -> Usable rules: 180.27/180.02 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.02 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.02 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.02 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.02 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.02 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.02 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.02 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.02 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.02 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.02 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.02 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.02 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 ->Interpretation type: 180.27/180.02 Linear 180.27/180.02 ->Coefficients: 180.27/180.02 Natural Numbers 180.27/180.02 ->Dimension: 180.27/180.02 1 180.27/180.02 ->Bound: 180.27/180.02 2 180.27/180.02 ->Interpretation: 180.27/180.02 180.27/180.02 [0](X) = X + 2 180.27/180.02 [1](X) = X 180.27/180.02 [2](X) = 2.X + 2 180.27/180.02 [3](X) = X 180.27/180.02 [4](X) = X 180.27/180.02 [5](X) = 2.X + 2 180.27/180.02 [0#](X) = X 180.27/180.02 [1#](X) = X 180.27/180.02 [2#](X) = 2.X + 2 180.27/180.02 [3#](X) = X + 2 180.27/180.02 [4#](X) = X + 2 180.27/180.02 [5#](X) = 2.X + 2 180.27/180.02 180.27/180.02 Problem 1: 180.27/180.02 180.27/180.02 SCC Processor: 180.27/180.02 -> Pairs: 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 0#(x1:S) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(1(2(3(4(3(1(x1:S))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 0#(3(0(1(2(3(4(3(1(x1:S))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(5(1(3(3(0(x1:S)))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 0#(x1:S) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(1(2(x1:S))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 0#(3(4(0(1(2(x1:S)))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 0#(3(x1:S)) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(4(2(3(4(3(4(2(0(x1:S))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 0#(x1:S) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 0#(x1:S) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 0#(x1:S) 180.27/180.02 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(0(4(5(4(0(0(x1:S)))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(4(5(4(0(0(x1:S))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(4(5(4(0(0(x1:S)))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 0#(x1:S) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(1(4(0(3(x1:S))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 0#(3(x1:S)) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 0#(0(2(3(x1:S)))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 0#(2(3(x1:S))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(3(3(5(0(4(1(x1:S))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(4(1(x1:S))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 0#(5(4(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 0#(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(1(0(0(2(1(1(0(3(2(2(1(3(x1:S))))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(2(1(1(0(3(2(2(1(3(x1:S)))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 0#(3(2(2(1(3(x1:S)))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 0#(4(1(4(5(4(x1:S)))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.02 -> Rules: 180.27/180.02 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.02 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.02 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.02 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.02 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.02 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.02 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.02 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.02 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.02 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.02 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.02 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.02 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 ->Strongly Connected Components: 180.27/180.02 ->->Cycle: 180.27/180.02 ->->-> Pairs: 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.02 ->->-> Rules: 180.27/180.02 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.02 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.02 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.02 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.02 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.02 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.02 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.02 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.02 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.02 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.02 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.02 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.02 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 180.27/180.02 Problem 1: 180.27/180.02 180.27/180.02 Reduction Pair Processor: 180.27/180.02 -> Pairs: 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(3(4(4(0(x1:S)))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.02 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.02 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.02 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.02 -> Rules: 180.27/180.02 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.02 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.02 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.02 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.02 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.02 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.02 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.02 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.02 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.02 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.02 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.02 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.02 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 -> Usable rules: 180.27/180.02 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.02 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.02 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.02 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.02 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.02 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.02 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.02 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.02 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.02 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.02 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.02 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.02 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.02 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.02 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.02 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.02 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.02 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.02 ->Interpretation type: 180.27/180.02 Linear 180.27/180.02 ->Coefficients: 180.27/180.02 Natural Numbers 180.27/180.02 ->Dimension: 180.27/180.02 1 180.27/180.02 ->Bound: 180.27/180.02 2 180.27/180.02 ->Interpretation: 180.27/180.02 180.27/180.02 [0](X) = X + 2 180.27/180.02 [1](X) = X + 2 180.27/180.02 [2](X) = X + 2 180.27/180.02 [3](X) = X + 2 180.27/180.02 [4](X) = X + 2 180.27/180.02 [5](X) = X + 2 180.27/180.02 [1#](X) = 2.X + 2 180.27/180.02 [2#](X) = 2.X + 2 180.27/180.02 [3#](X) = 2.X + 1 180.27/180.02 [4#](X) = 2.X + 1 180.27/180.02 [5#](X) = 2.X + 2 180.27/180.02 180.27/180.02 Problem 1: 180.27/180.02 180.27/180.02 SCC Processor: 180.27/180.02 -> Pairs: 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.02 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.02 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.02 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.02 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.02 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.02 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.02 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.02 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.02 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.02 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.02 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.02 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.02 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.02 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.02 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.02 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.02 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.02 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.02 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.03 -> Rules: 180.27/180.03 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.03 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.03 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.03 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.03 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.03 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.03 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.03 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.03 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.03 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.03 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.03 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.03 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.03 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 ->Strongly Connected Components: 180.27/180.03 ->->Cycle: 180.27/180.03 ->->-> Pairs: 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.03 ->->-> Rules: 180.27/180.03 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.03 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.03 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.03 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.03 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.03 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.03 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.03 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.03 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.03 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.03 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.03 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.03 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.03 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 180.27/180.03 Problem 1: 180.27/180.03 180.27/180.03 Reduction Pair Processor: 180.27/180.03 -> Pairs: 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(3(4(4(0(x1:S))))) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.03 -> Rules: 180.27/180.03 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.03 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.03 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.03 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.03 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.03 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.03 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.03 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.03 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.03 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.03 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.03 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.03 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.03 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 -> Usable rules: 180.27/180.03 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.03 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.03 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.03 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.03 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.03 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.03 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.03 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.03 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.03 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.03 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.03 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.03 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.03 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 ->Interpretation type: 180.27/180.03 Linear 180.27/180.03 ->Coefficients: 180.27/180.03 Natural Numbers 180.27/180.03 ->Dimension: 180.27/180.03 1 180.27/180.03 ->Bound: 180.27/180.03 2 180.27/180.03 ->Interpretation: 180.27/180.03 180.27/180.03 [0](X) = X + 2 180.27/180.03 [1](X) = X + 2 180.27/180.03 [2](X) = X + 2 180.27/180.03 [3](X) = X + 2 180.27/180.03 [4](X) = X + 2 180.27/180.03 [5](X) = X + 2 180.27/180.03 [1#](X) = 2.X + 2 180.27/180.03 [2#](X) = 2.X + 2 180.27/180.03 [3#](X) = 2.X + 1 180.27/180.03 [4#](X) = 2.X + 1 180.27/180.03 [5#](X) = 2.X + 2 180.27/180.03 180.27/180.03 Problem 1: 180.27/180.03 180.27/180.03 SCC Processor: 180.27/180.03 -> Pairs: 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.03 -> Rules: 180.27/180.03 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.03 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.03 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.03 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.03 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.03 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.03 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.03 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.03 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.03 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.03 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.03 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.03 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.03 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 ->Strongly Connected Components: 180.27/180.03 ->->Cycle: 180.27/180.03 ->->-> Pairs: 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.03 ->->-> Rules: 180.27/180.03 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.03 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.03 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.03 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.03 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.03 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.03 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.03 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.03 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.03 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.03 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.03 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.03 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.03 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 180.27/180.03 Problem 1: 180.27/180.03 180.27/180.03 Reduction Pair Processor: 180.27/180.03 -> Pairs: 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 3#(4(4(0(x1:S)))) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.03 -> Rules: 180.27/180.03 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.03 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.03 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.03 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.03 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.03 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.03 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.03 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.03 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.03 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.03 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.03 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.03 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.03 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 -> Usable rules: 180.27/180.03 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.03 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.03 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.03 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.03 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.03 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.03 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.03 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.03 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.03 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.03 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.03 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.03 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.03 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 ->Interpretation type: 180.27/180.03 Linear 180.27/180.03 ->Coefficients: 180.27/180.03 Natural Numbers 180.27/180.03 ->Dimension: 180.27/180.03 1 180.27/180.03 ->Bound: 180.27/180.03 2 180.27/180.03 ->Interpretation: 180.27/180.03 180.27/180.03 [0](X) = X + 2 180.27/180.03 [1](X) = X + 2 180.27/180.03 [2](X) = X + 2 180.27/180.03 [3](X) = X + 2 180.27/180.03 [4](X) = X + 2 180.27/180.03 [5](X) = X + 2 180.27/180.03 [1#](X) = 2.X + 2 180.27/180.03 [2#](X) = 2.X + 2 180.27/180.03 [3#](X) = 2.X 180.27/180.03 [4#](X) = 2.X + 2 180.27/180.03 [5#](X) = 2.X + 2 180.27/180.03 180.27/180.03 Problem 1: 180.27/180.03 180.27/180.03 SCC Processor: 180.27/180.03 -> Pairs: 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.03 -> Rules: 180.27/180.03 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.03 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.03 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.03 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.03 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.03 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.03 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.03 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.03 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.03 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.03 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.03 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.03 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.03 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 ->Strongly Connected Components: 180.27/180.03 ->->Cycle: 180.27/180.03 ->->-> Pairs: 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.03 ->->-> Rules: 180.27/180.03 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.03 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.03 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.03 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.03 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.03 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.03 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.03 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.03 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.03 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.03 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.03 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.03 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.03 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 180.27/180.03 Problem 1: 180.27/180.03 180.27/180.03 Reduction Pair Processor: 180.27/180.03 -> Pairs: 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(0(x1:S)) 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.03 -> Rules: 180.27/180.03 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.03 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.03 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.03 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.03 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.03 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.03 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.03 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.03 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.03 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.03 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.03 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.03 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.03 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 -> Usable rules: 180.27/180.03 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.03 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.03 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.03 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.03 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.03 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.03 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.03 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.03 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.03 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.03 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.03 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.03 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.03 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 ->Interpretation type: 180.27/180.03 Linear 180.27/180.03 ->Coefficients: 180.27/180.03 Natural Numbers 180.27/180.03 ->Dimension: 180.27/180.03 1 180.27/180.03 ->Bound: 180.27/180.03 2 180.27/180.03 ->Interpretation: 180.27/180.03 180.27/180.03 [0](X) = 1 180.27/180.03 [1](X) = 0 180.27/180.03 [2](X) = 2.X 180.27/180.03 [3](X) = 0 180.27/180.03 [4](X) = 0 180.27/180.03 [5](X) = 2 180.27/180.03 [1#](X) = 2 180.27/180.03 [2#](X) = 2 180.27/180.03 [3#](X) = 2 180.27/180.03 [4#](X) = X 180.27/180.03 [5#](X) = 2 180.27/180.03 180.27/180.03 Problem 1: 180.27/180.03 180.27/180.03 SCC Processor: 180.27/180.03 -> Pairs: 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.03 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.03 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.03 -> Rules: 180.27/180.03 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.03 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.03 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.03 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.03 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.03 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.03 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.03 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.03 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.03 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.03 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.03 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.03 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.03 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.03 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.03 ->Strongly Connected Components: 180.27/180.03 ->->Cycle: 180.27/180.03 ->->-> Pairs: 180.27/180.03 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.03 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.03 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.03 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.03 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.03 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.03 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.03 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.03 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.03 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.03 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.03 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.03 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.03 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.03 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.03 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.03 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.03 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.03 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.03 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.03 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.04 ->->-> Rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 180.27/180.04 Problem 1: 180.27/180.04 180.27/180.04 Reduction Pair Processor: 180.27/180.04 -> Pairs: 180.27/180.04 1#(3(5(4(1(2(2(x1:S))))))) -> 4#(4(0(x1:S))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.04 -> Rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 -> Usable rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 ->Interpretation type: 180.27/180.04 Linear 180.27/180.04 ->Coefficients: 180.27/180.04 Natural Numbers 180.27/180.04 ->Dimension: 180.27/180.04 1 180.27/180.04 ->Bound: 180.27/180.04 2 180.27/180.04 ->Interpretation: 180.27/180.04 180.27/180.04 [0](X) = 2 180.27/180.04 [1](X) = 1 180.27/180.04 [2](X) = 2 180.27/180.04 [3](X) = 1 180.27/180.04 [4](X) = 1 180.27/180.04 [5](X) = 2 180.27/180.04 [1#](X) = 2 180.27/180.04 [2#](X) = 2 180.27/180.04 [3#](X) = 2 180.27/180.04 [4#](X) = X 180.27/180.04 [5#](X) = 2 180.27/180.04 180.27/180.04 Problem 1: 180.27/180.04 180.27/180.04 SCC Processor: 180.27/180.04 -> Pairs: 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.04 -> Rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 ->Strongly Connected Components: 180.27/180.04 ->->Cycle: 180.27/180.04 ->->-> Pairs: 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.04 ->->-> Rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 180.27/180.04 Problem 1: 180.27/180.04 180.27/180.04 Reduction Pair Processor: 180.27/180.04 -> Pairs: 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 1#(3(2(3(x1:S)))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.04 -> Rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 -> Usable rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 ->Interpretation type: 180.27/180.04 Linear 180.27/180.04 ->Coefficients: 180.27/180.04 Natural Numbers 180.27/180.04 ->Dimension: 180.27/180.04 1 180.27/180.04 ->Bound: 180.27/180.04 2 180.27/180.04 ->Interpretation: 180.27/180.04 180.27/180.04 [0](X) = 2.X + 2 180.27/180.04 [1](X) = 2.X + 2 180.27/180.04 [2](X) = 2.X + 2 180.27/180.04 [3](X) = 2.X + 2 180.27/180.04 [4](X) = 2.X + 2 180.27/180.04 [5](X) = 2.X + 2 180.27/180.04 [1#](X) = X + 2 180.27/180.04 [2#](X) = X + 2 180.27/180.04 [3#](X) = X + 2 180.27/180.04 [4#](X) = X + 2 180.27/180.04 [5#](X) = X + 2 180.27/180.04 180.27/180.04 Problem 1: 180.27/180.04 180.27/180.04 SCC Processor: 180.27/180.04 -> Pairs: 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.04 -> Rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 ->Strongly Connected Components: 180.27/180.04 ->->Cycle: 180.27/180.04 ->->-> Pairs: 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.04 ->->-> Rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 180.27/180.04 Problem 1: 180.27/180.04 180.27/180.04 Reduction Pair Processor: 180.27/180.04 -> Pairs: 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.04 -> Rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 -> Usable rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 ->Interpretation type: 180.27/180.04 Linear 180.27/180.04 ->Coefficients: 180.27/180.04 Natural Numbers 180.27/180.04 ->Dimension: 180.27/180.04 1 180.27/180.04 ->Bound: 180.27/180.04 2 180.27/180.04 ->Interpretation: 180.27/180.04 180.27/180.04 [0](X) = 2.X + 2 180.27/180.04 [1](X) = 2.X + 2 180.27/180.04 [2](X) = 2.X + 2 180.27/180.04 [3](X) = 2.X + 2 180.27/180.04 [4](X) = 2.X + 2 180.27/180.04 [5](X) = 2.X + 2 180.27/180.04 [1#](X) = 2.X 180.27/180.04 [2#](X) = 2.X + 1 180.27/180.04 [3#](X) = 2.X + 2 180.27/180.04 [4#](X) = 2.X 180.27/180.04 [5#](X) = 2.X + 1 180.27/180.04 180.27/180.04 Problem 1: 180.27/180.04 180.27/180.04 SCC Processor: 180.27/180.04 -> Pairs: 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.04 -> Rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 ->Strongly Connected Components: 180.27/180.04 ->->Cycle: 180.27/180.04 ->->-> Pairs: 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.04 ->->-> Rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 180.27/180.04 Problem 1: 180.27/180.04 180.27/180.04 Reduction Pair Processor: 180.27/180.04 -> Pairs: 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(2(3(x1:S))) 180.27/180.04 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.04 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.04 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.04 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.04 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.04 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.04 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.04 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.04 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.04 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.04 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.04 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.04 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.04 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.04 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.04 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.04 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.04 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.04 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.04 -> Rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 -> Usable rules: 180.27/180.04 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.04 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.04 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.04 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.04 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.04 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.04 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.04 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.04 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.04 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.04 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.04 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.04 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.04 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.04 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.04 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.04 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.04 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.04 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.04 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.04 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.04 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.04 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.04 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.04 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.04 ->Interpretation type: 180.27/180.04 Linear 180.27/180.04 ->Coefficients: 180.27/180.04 Natural Numbers 180.27/180.04 ->Dimension: 180.27/180.04 1 180.27/180.04 ->Bound: 180.27/180.04 2 180.27/180.04 ->Interpretation: 180.27/180.05 180.27/180.05 [0](X) = 2.X + 2 180.27/180.05 [1](X) = 2.X + 2 180.27/180.05 [2](X) = 2.X + 2 180.27/180.05 [3](X) = 2.X + 2 180.27/180.05 [4](X) = 2.X + 2 180.27/180.05 [5](X) = 2.X + 2 180.27/180.05 [1#](X) = 2.X + 1 180.27/180.05 [2#](X) = 2.X + 2 180.27/180.05 [3#](X) = 2.X + 2 180.27/180.05 [4#](X) = 2.X + 2 180.27/180.05 [5#](X) = 2.X + 1 180.27/180.05 180.27/180.05 Problem 1: 180.27/180.05 180.27/180.05 SCC Processor: 180.27/180.05 -> Pairs: 180.27/180.05 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.05 -> Rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 ->Strongly Connected Components: 180.27/180.05 ->->Cycle: 180.27/180.05 ->->-> Pairs: 180.27/180.05 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.05 ->->-> Rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 180.27/180.05 Problem 1: 180.27/180.05 180.27/180.05 Reduction Pair Processor: 180.27/180.05 -> Pairs: 180.27/180.05 1#(3(5(5(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.05 -> Rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 -> Usable rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 ->Interpretation type: 180.27/180.05 Linear 180.27/180.05 ->Coefficients: 180.27/180.05 Natural Numbers 180.27/180.05 ->Dimension: 180.27/180.05 1 180.27/180.05 ->Bound: 180.27/180.05 2 180.27/180.05 ->Interpretation: 180.27/180.05 180.27/180.05 [0](X) = X + 2 180.27/180.05 [1](X) = X + 2 180.27/180.05 [2](X) = X + 2 180.27/180.05 [3](X) = X + 2 180.27/180.05 [4](X) = X + 2 180.27/180.05 [5](X) = X + 2 180.27/180.05 [1#](X) = 2.X + 1 180.27/180.05 [2#](X) = 2.X + 2 180.27/180.05 [3#](X) = 2.X + 2 180.27/180.05 [4#](X) = 2.X + 2 180.27/180.05 [5#](X) = 2.X + 2 180.27/180.05 180.27/180.05 Problem 1: 180.27/180.05 180.27/180.05 SCC Processor: 180.27/180.05 -> Pairs: 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(2(3(4(3(1(x1:S)))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 1#(x1:S) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(3(3(0(x1:S)))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 1#(4(3(0(5(1(3(3(0(x1:S))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 1#(2(x1:S)) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 1#(0(3(x1:S))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 1#(1(0(3(x1:S)))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 1#(2(4(1(x1:S)))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 1#(3(3(3(x1:S)))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 1#(3(3(4(x1:S)))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 1#(4(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 1#(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 1#(x1:S) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 1#(4(0(3(x1:S)))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 1#(0(3(3(5(0(4(1(x1:S)))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(3(0(4(x1:S)))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 1#(5(1(3(0(4(x1:S)))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 1#(4(3(3(1(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(0(3(2(2(1(3(x1:S))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(1(0(3(2(2(1(3(x1:S)))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 1#(3(x1:S)) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1#(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.05 -> Rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 ->Strongly Connected Components: 180.27/180.05 ->->Cycle: 180.27/180.05 ->->-> Pairs: 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.05 ->->-> Rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 180.27/180.05 Problem 1: 180.27/180.05 180.27/180.05 Reduction Pair Processor: 180.27/180.05 -> Pairs: 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(0(3(0(1(2(3(4(3(1(x1:S)))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.05 -> Rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 -> Usable rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 ->Interpretation type: 180.27/180.05 Linear 180.27/180.05 ->Coefficients: 180.27/180.05 Natural Numbers 180.27/180.05 ->Dimension: 180.27/180.05 1 180.27/180.05 ->Bound: 180.27/180.05 2 180.27/180.05 ->Interpretation: 180.27/180.05 180.27/180.05 [0](X) = X + 2 180.27/180.05 [1](X) = X 180.27/180.05 [2](X) = 2.X + 2 180.27/180.05 [3](X) = X 180.27/180.05 [4](X) = X 180.27/180.05 [5](X) = 2.X + 2 180.27/180.05 [2#](X) = 2.X + 1 180.27/180.05 [3#](X) = 2.X + 1 180.27/180.05 [4#](X) = 2.X + 1 180.27/180.05 [5#](X) = 2.X + 1 180.27/180.05 180.27/180.05 Problem 1: 180.27/180.05 180.27/180.05 SCC Processor: 180.27/180.05 -> Pairs: 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.05 -> Rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 ->Strongly Connected Components: 180.27/180.05 ->->Cycle: 180.27/180.05 ->->-> Pairs: 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.05 ->->-> Rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 180.27/180.05 Problem 1: 180.27/180.05 180.27/180.05 Reduction Pair Processor: 180.27/180.05 -> Pairs: 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(3(4(3(1(x1:S))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.05 -> Rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 -> Usable rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 ->Interpretation type: 180.27/180.05 Linear 180.27/180.05 ->Coefficients: 180.27/180.05 Natural Numbers 180.27/180.05 ->Dimension: 180.27/180.05 1 180.27/180.05 ->Bound: 180.27/180.05 2 180.27/180.05 ->Interpretation: 180.27/180.05 180.27/180.05 [0](X) = X + 2 180.27/180.05 [1](X) = X 180.27/180.05 [2](X) = 2.X + 2 180.27/180.05 [3](X) = X 180.27/180.05 [4](X) = X 180.27/180.05 [5](X) = 2.X + 2 180.27/180.05 [2#](X) = 2.X + 2 180.27/180.05 [3#](X) = X + 2 180.27/180.05 [4#](X) = X + 2 180.27/180.05 [5#](X) = 2.X + 2 180.27/180.05 180.27/180.05 Problem 1: 180.27/180.05 180.27/180.05 SCC Processor: 180.27/180.05 -> Pairs: 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.05 -> Rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 ->Strongly Connected Components: 180.27/180.05 ->->Cycle: 180.27/180.05 ->->-> Pairs: 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.05 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.05 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.05 ->->-> Rules: 180.27/180.05 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.05 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.05 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.05 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.05 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.05 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.05 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.05 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.05 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.05 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.05 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.05 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.05 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.05 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.05 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.05 180.27/180.05 Problem 1: 180.27/180.05 180.27/180.05 Reduction Pair Processor: 180.27/180.05 -> Pairs: 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 2#(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.05 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.05 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.05 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.05 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.05 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.05 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.05 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.05 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.05 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.05 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.05 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.05 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.05 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.05 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.05 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.05 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.05 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.05 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.05 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.06 -> Rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 -> Usable rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 ->Interpretation type: 180.27/180.06 Linear 180.27/180.06 ->Coefficients: 180.27/180.06 Natural Numbers 180.27/180.06 ->Dimension: 180.27/180.06 1 180.27/180.06 ->Bound: 180.27/180.06 2 180.27/180.06 ->Interpretation: 180.27/180.06 180.27/180.06 [0](X) = X 180.27/180.06 [1](X) = X 180.27/180.06 [2](X) = 2.X + 2 180.27/180.06 [3](X) = X 180.27/180.06 [4](X) = X 180.27/180.06 [5](X) = 2.X + 2 180.27/180.06 [2#](X) = 2.X 180.27/180.06 [3#](X) = 2.X 180.27/180.06 [4#](X) = X + 1 180.27/180.06 [5#](X) = 2.X 180.27/180.06 180.27/180.06 Problem 1: 180.27/180.06 180.27/180.06 SCC Processor: 180.27/180.06 -> Pairs: 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.06 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.06 -> Rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 ->Strongly Connected Components: 180.27/180.06 ->->Cycle: 180.27/180.06 ->->-> Pairs: 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.06 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.06 ->->-> Rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 180.27/180.06 Problem 1: 180.27/180.06 180.27/180.06 Reduction Pair Processor: 180.27/180.06 -> Pairs: 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(0(1(2(3(4(3(1(x1:S)))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.06 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.06 -> Rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 -> Usable rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 ->Interpretation type: 180.27/180.06 Linear 180.27/180.06 ->Coefficients: 180.27/180.06 Natural Numbers 180.27/180.06 ->Dimension: 180.27/180.06 1 180.27/180.06 ->Bound: 180.27/180.06 2 180.27/180.06 ->Interpretation: 180.27/180.06 180.27/180.06 [0](X) = X 180.27/180.06 [1](X) = X 180.27/180.06 [2](X) = 2.X + 2 180.27/180.06 [3](X) = X 180.27/180.06 [4](X) = X 180.27/180.06 [5](X) = 2.X + 2 180.27/180.06 [2#](X) = 2.X + 2 180.27/180.06 [3#](X) = 2.X + 2 180.27/180.06 [4#](X) = 2.X 180.27/180.06 [5#](X) = 2.X 180.27/180.06 180.27/180.06 Problem 1: 180.27/180.06 180.27/180.06 SCC Processor: 180.27/180.06 -> Pairs: 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.06 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.06 -> Rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 ->Strongly Connected Components: 180.27/180.06 ->->Cycle: 180.27/180.06 ->->-> Pairs: 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.06 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.06 ->->-> Rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 180.27/180.06 Problem 1: 180.27/180.06 180.27/180.06 Reduction Pair Processor: 180.27/180.06 -> Pairs: 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(3(1(x1:S))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.06 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.06 -> Rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 -> Usable rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 ->Interpretation type: 180.27/180.06 Linear 180.27/180.06 ->Coefficients: 180.27/180.06 Natural Numbers 180.27/180.06 ->Dimension: 180.27/180.06 1 180.27/180.06 ->Bound: 180.27/180.06 2 180.27/180.06 ->Interpretation: 180.27/180.06 180.27/180.06 [0](X) = 1 180.27/180.06 [1](X) = 0 180.27/180.06 [2](X) = 1 180.27/180.06 [3](X) = 0 180.27/180.06 [4](X) = 0 180.27/180.06 [5](X) = 1 180.27/180.06 [2#](X) = 2 180.27/180.06 [3#](X) = 2 180.27/180.06 [4#](X) = X + 1 180.27/180.06 [5#](X) = 2 180.27/180.06 180.27/180.06 Problem 1: 180.27/180.06 180.27/180.06 SCC Processor: 180.27/180.06 -> Pairs: 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.06 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.06 -> Rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 ->Strongly Connected Components: 180.27/180.06 ->->Cycle: 180.27/180.06 ->->-> Pairs: 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.06 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.06 ->->-> Rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 180.27/180.06 Problem 1: 180.27/180.06 180.27/180.06 Reduction Pair Processor: 180.27/180.06 -> Pairs: 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.06 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.06 -> Rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 -> Usable rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 ->Interpretation type: 180.27/180.06 Linear 180.27/180.06 ->Coefficients: 180.27/180.06 Natural Numbers 180.27/180.06 ->Dimension: 180.27/180.06 1 180.27/180.06 ->Bound: 180.27/180.06 2 180.27/180.06 ->Interpretation: 180.27/180.06 180.27/180.06 [0](X) = 1 180.27/180.06 [1](X) = 0 180.27/180.06 [2](X) = 2.X 180.27/180.06 [3](X) = 0 180.27/180.06 [4](X) = 0 180.27/180.06 [5](X) = 2 180.27/180.06 [2#](X) = 2 180.27/180.06 [3#](X) = 2 180.27/180.06 [4#](X) = X 180.27/180.06 [5#](X) = 2 180.27/180.06 180.27/180.06 Problem 1: 180.27/180.06 180.27/180.06 SCC Processor: 180.27/180.06 -> Pairs: 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.06 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.06 -> Rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 ->Strongly Connected Components: 180.27/180.06 ->->Cycle: 180.27/180.06 ->->-> Pairs: 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.06 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.06 ->->-> Rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 180.27/180.06 Problem 1: 180.27/180.06 180.27/180.06 Reduction Pair Processor: 180.27/180.06 -> Pairs: 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 4#(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S))))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.06 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.06 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.06 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.06 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.06 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.06 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.06 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.06 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.06 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.06 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.06 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.06 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.06 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.06 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.06 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.06 -> Rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 -> Usable rules: 180.27/180.06 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.06 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.06 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.06 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.06 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.06 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.06 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.06 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.06 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.06 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.06 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.06 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.06 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.06 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.06 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.06 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.06 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.06 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.06 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.06 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.06 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.06 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.06 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.06 ->Interpretation type: 180.27/180.06 Linear 180.27/180.06 ->Coefficients: 180.27/180.06 Natural Numbers 180.27/180.06 ->Dimension: 180.27/180.06 1 180.27/180.06 ->Bound: 180.27/180.06 2 180.27/180.06 ->Interpretation: 180.27/180.06 180.27/180.06 [0](X) = X + 2 180.27/180.06 [1](X) = X 180.27/180.06 [2](X) = 2.X + 2 180.27/180.06 [3](X) = X 180.27/180.06 [4](X) = X 180.27/180.06 [5](X) = 2.X + 2 180.27/180.06 [2#](X) = 2.X + 2 180.27/180.06 [3#](X) = 2.X + 1 180.27/180.06 [4#](X) = 2.X + 2 180.27/180.06 [5#](X) = 2.X 180.27/180.06 180.27/180.06 Problem 1: 180.27/180.06 180.27/180.06 SCC Processor: 180.27/180.06 -> Pairs: 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.06 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.06 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.06 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.07 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.07 -> Rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 ->Strongly Connected Components: 180.27/180.07 ->->Cycle: 180.27/180.07 ->->-> Pairs: 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.07 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.07 ->->-> Rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 180.27/180.07 Problem 1: 180.27/180.07 180.27/180.07 Reduction Pair Processor: 180.27/180.07 -> Pairs: 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(1(x1:S)) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.07 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.07 -> Rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 -> Usable rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 ->Interpretation type: 180.27/180.07 Linear 180.27/180.07 ->Coefficients: 180.27/180.07 Natural Numbers 180.27/180.07 ->Dimension: 180.27/180.07 1 180.27/180.07 ->Bound: 180.27/180.07 2 180.27/180.07 ->Interpretation: 180.27/180.07 180.27/180.07 [0](X) = 2.X + 2 180.27/180.07 [1](X) = 2.X + 2 180.27/180.07 [2](X) = 2.X + 2 180.27/180.07 [3](X) = 2.X + 2 180.27/180.07 [4](X) = 2.X + 2 180.27/180.07 [5](X) = 2.X + 2 180.27/180.07 [2#](X) = 2.X + 1 180.27/180.07 [3#](X) = 2.X + 1 180.27/180.07 [4#](X) = 2.X + 2 180.27/180.07 [5#](X) = 2.X + 1 180.27/180.07 180.27/180.07 Problem 1: 180.27/180.07 180.27/180.07 SCC Processor: 180.27/180.07 -> Pairs: 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.07 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.07 -> Rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 ->Strongly Connected Components: 180.27/180.07 ->->Cycle: 180.27/180.07 ->->-> Pairs: 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.07 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.07 ->->-> Rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 180.27/180.07 Problem 1: 180.27/180.07 180.27/180.07 Reduction Pair Processor: 180.27/180.07 -> Pairs: 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 3#(4(3(1(x1:S)))) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.07 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.07 -> Rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 -> Usable rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 ->Interpretation type: 180.27/180.07 Linear 180.27/180.07 ->Coefficients: 180.27/180.07 Natural Numbers 180.27/180.07 ->Dimension: 180.27/180.07 1 180.27/180.07 ->Bound: 180.27/180.07 2 180.27/180.07 ->Interpretation: 180.27/180.07 180.27/180.07 [0](X) = 2.X + 2 180.27/180.07 [1](X) = 2.X + 2 180.27/180.07 [2](X) = 2.X + 2 180.27/180.07 [3](X) = 2.X + 2 180.27/180.07 [4](X) = 2.X + 2 180.27/180.07 [5](X) = 2.X + 2 180.27/180.07 [2#](X) = 2.X + 2 180.27/180.07 [3#](X) = X + 2 180.27/180.07 [4#](X) = X + 2 180.27/180.07 [5#](X) = 2.X + 1 180.27/180.07 180.27/180.07 Problem 1: 180.27/180.07 180.27/180.07 SCC Processor: 180.27/180.07 -> Pairs: 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.07 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.07 -> Rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 ->Strongly Connected Components: 180.27/180.07 ->->Cycle: 180.27/180.07 ->->-> Pairs: 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.07 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.07 ->->-> Rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 180.27/180.07 Problem 1: 180.27/180.07 180.27/180.07 Reduction Pair Processor: 180.27/180.07 -> Pairs: 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))) 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.07 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.07 -> Rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 -> Usable rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 ->Interpretation type: 180.27/180.07 Linear 180.27/180.07 ->Coefficients: 180.27/180.07 Natural Numbers 180.27/180.07 ->Dimension: 180.27/180.07 1 180.27/180.07 ->Bound: 180.27/180.07 2 180.27/180.07 ->Interpretation: 180.27/180.07 180.27/180.07 [0](X) = 1 180.27/180.07 [1](X) = 0 180.27/180.07 [2](X) = 1 180.27/180.07 [3](X) = 0 180.27/180.07 [4](X) = 1 180.27/180.07 [5](X) = 1 180.27/180.07 [2#](X) = 2 180.27/180.07 [3#](X) = 2 180.27/180.07 [4#](X) = X + 1 180.27/180.07 [5#](X) = X + 1 180.27/180.07 180.27/180.07 Problem 1: 180.27/180.07 180.27/180.07 SCC Processor: 180.27/180.07 -> Pairs: 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.07 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.07 -> Rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 ->Strongly Connected Components: 180.27/180.07 ->->Cycle: 180.27/180.07 ->->-> Pairs: 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.07 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.07 ->->-> Rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 180.27/180.07 Problem 1: 180.27/180.07 180.27/180.07 Reduction Pair Processor: 180.27/180.07 -> Pairs: 180.27/180.07 2#(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5#(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.07 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.07 -> Rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 -> Usable rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 ->Interpretation type: 180.27/180.07 Linear 180.27/180.07 ->Coefficients: 180.27/180.07 Natural Numbers 180.27/180.07 ->Dimension: 180.27/180.07 1 180.27/180.07 ->Bound: 180.27/180.07 2 180.27/180.07 ->Interpretation: 180.27/180.07 180.27/180.07 [0](X) = X + 2 180.27/180.07 [1](X) = X 180.27/180.07 [2](X) = 2.X + 2 180.27/180.07 [3](X) = X 180.27/180.07 [4](X) = X 180.27/180.07 [5](X) = 2.X + 2 180.27/180.07 [2#](X) = X + 2 180.27/180.07 [3#](X) = 2.X 180.27/180.07 [4#](X) = X + 2 180.27/180.07 [5#](X) = X + 2 180.27/180.07 180.27/180.07 Problem 1: 180.27/180.07 180.27/180.07 SCC Processor: 180.27/180.07 -> Pairs: 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.07 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.07 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.07 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.07 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.07 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.07 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.07 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.07 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.07 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.07 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.07 -> Rules: 180.27/180.07 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.07 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.07 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.07 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.07 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.07 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.07 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.07 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.07 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.07 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.07 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.07 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.07 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.07 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.07 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.07 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.07 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.07 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.07 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.07 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.07 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.07 ->Strongly Connected Components: 180.27/180.07 ->->Cycle: 180.27/180.07 ->->-> Pairs: 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.07 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.07 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.07 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.07 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.07 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.07 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.07 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.07 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 ->->-> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 180.27/180.08 Problem 1: 180.27/180.08 180.27/180.08 Reduction Pair Processor: 180.27/180.08 -> Pairs: 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(1(4(3(0(5(1(3(3(0(x1:S)))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 -> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 -> Usable rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 ->Interpretation type: 180.27/180.08 Linear 180.27/180.08 ->Coefficients: 180.27/180.08 Natural Numbers 180.27/180.08 ->Dimension: 180.27/180.08 1 180.27/180.08 ->Bound: 180.27/180.08 2 180.27/180.08 ->Interpretation: 180.27/180.08 180.27/180.08 [0](X) = X 180.27/180.08 [1](X) = X 180.27/180.08 [2](X) = 2.X + 2 180.27/180.08 [3](X) = X 180.27/180.08 [4](X) = X 180.27/180.08 [5](X) = 2.X + 2 180.27/180.08 [2#](X) = X + 2 180.27/180.08 [3#](X) = 2.X + 2 180.27/180.08 [4#](X) = X + 2 180.27/180.08 [5#](X) = X + 2 180.27/180.08 180.27/180.08 Problem 1: 180.27/180.08 180.27/180.08 SCC Processor: 180.27/180.08 -> Pairs: 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 -> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 ->Strongly Connected Components: 180.27/180.08 ->->Cycle: 180.27/180.08 ->->-> Pairs: 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 ->->-> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 180.27/180.08 Problem 1: 180.27/180.08 180.27/180.08 Reduction Pair Processor: 180.27/180.08 -> Pairs: 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 -> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 -> Usable rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 ->Interpretation type: 180.27/180.08 Linear 180.27/180.08 ->Coefficients: 180.27/180.08 Natural Numbers 180.27/180.08 ->Dimension: 180.27/180.08 1 180.27/180.08 ->Bound: 180.27/180.08 2 180.27/180.08 ->Interpretation: 180.27/180.08 180.27/180.08 [0](X) = X + 2 180.27/180.08 [1](X) = X 180.27/180.08 [2](X) = 2.X + 2 180.27/180.08 [3](X) = X 180.27/180.08 [4](X) = X 180.27/180.08 [5](X) = 2.X + 2 180.27/180.08 [2#](X) = 2.X + 2 180.27/180.08 [3#](X) = 2.X + 2 180.27/180.08 [4#](X) = 2.X + 2 180.27/180.08 [5#](X) = 2.X + 2 180.27/180.08 180.27/180.08 Problem 1: 180.27/180.08 180.27/180.08 SCC Processor: 180.27/180.08 -> Pairs: 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 -> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 ->Strongly Connected Components: 180.27/180.08 ->->Cycle: 180.27/180.08 ->->-> Pairs: 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 ->->-> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 180.27/180.08 Problem 1: 180.27/180.08 180.27/180.08 Reduction Pair Processor: 180.27/180.08 -> Pairs: 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2#(4(2(1(4(3(0(5(1(3(3(0(x1:S)))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 -> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 -> Usable rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 ->Interpretation type: 180.27/180.08 Linear 180.27/180.08 ->Coefficients: 180.27/180.08 Natural Numbers 180.27/180.08 ->Dimension: 180.27/180.08 1 180.27/180.08 ->Bound: 180.27/180.08 2 180.27/180.08 ->Interpretation: 180.27/180.08 180.27/180.08 [0](X) = X + 2 180.27/180.08 [1](X) = X 180.27/180.08 [2](X) = 2.X + 2 180.27/180.08 [3](X) = X 180.27/180.08 [4](X) = X 180.27/180.08 [5](X) = 2.X + 2 180.27/180.08 [2#](X) = 2.X + 2 180.27/180.08 [3#](X) = X + 2 180.27/180.08 [4#](X) = 2.X + 2 180.27/180.08 [5#](X) = 2.X + 2 180.27/180.08 180.27/180.08 Problem 1: 180.27/180.08 180.27/180.08 SCC Processor: 180.27/180.08 -> Pairs: 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 -> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 ->Strongly Connected Components: 180.27/180.08 ->->Cycle: 180.27/180.08 ->->-> Pairs: 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 ->->-> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 180.27/180.08 Problem 1: 180.27/180.08 180.27/180.08 Reduction Pair Processor: 180.27/180.08 -> Pairs: 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(5(1(3(3(0(x1:S))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 -> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 -> Usable rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 ->Interpretation type: 180.27/180.08 Linear 180.27/180.08 ->Coefficients: 180.27/180.08 Natural Numbers 180.27/180.08 ->Dimension: 180.27/180.08 1 180.27/180.08 ->Bound: 180.27/180.08 2 180.27/180.08 ->Interpretation: 180.27/180.08 180.27/180.08 [0](X) = X + 2 180.27/180.08 [1](X) = X 180.27/180.08 [2](X) = 2.X + 2 180.27/180.08 [3](X) = X 180.27/180.08 [4](X) = X 180.27/180.08 [5](X) = 2.X + 2 180.27/180.08 [2#](X) = 2.X + 2 180.27/180.08 [3#](X) = 2.X + 1 180.27/180.08 [4#](X) = X + 2 180.27/180.08 [5#](X) = X + 2 180.27/180.08 180.27/180.08 Problem 1: 180.27/180.08 180.27/180.08 SCC Processor: 180.27/180.08 -> Pairs: 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 -> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 ->Strongly Connected Components: 180.27/180.08 ->->Cycle: 180.27/180.08 ->->-> Pairs: 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 ->->-> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.08 180.27/180.08 Problem 1: 180.27/180.08 180.27/180.08 Reduction Pair Processor: 180.27/180.08 -> Pairs: 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(0(x1:S)) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.08 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.08 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.08 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.08 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.08 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.08 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.08 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.08 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.08 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.08 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.08 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.08 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.08 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.08 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.08 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.08 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.08 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.08 -> Rules: 180.27/180.08 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.08 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.08 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.08 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.08 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.08 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.08 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.08 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.08 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.08 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.08 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.08 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.08 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.08 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.08 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.08 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.08 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.08 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.08 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.08 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.08 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.08 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.08 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.08 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.08 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.09 -> Usable rules: 180.27/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.09 ->Interpretation type: 180.27/180.09 Linear 180.27/180.09 ->Coefficients: 180.27/180.09 Natural Numbers 180.27/180.09 ->Dimension: 180.27/180.09 1 180.27/180.09 ->Bound: 180.27/180.09 2 180.27/180.09 ->Interpretation: 180.27/180.09 180.27/180.09 [0](X) = X + 2 180.27/180.09 [1](X) = X 180.27/180.09 [2](X) = 2.X + 2 180.27/180.09 [3](X) = X 180.27/180.09 [4](X) = X 180.27/180.09 [5](X) = 2.X + 2 180.27/180.09 [2#](X) = 2.X 180.27/180.09 [3#](X) = X 180.27/180.09 [4#](X) = X + 2 180.27/180.09 [5#](X) = X 180.27/180.09 180.27/180.09 Problem 1: 180.27/180.09 180.27/180.09 SCC Processor: 180.27/180.09 -> Pairs: 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.09 -> Rules: 180.27/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.09 ->Strongly Connected Components: 180.27/180.09 ->->Cycle: 180.27/180.09 ->->-> Pairs: 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.09 ->->-> Rules: 180.27/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.09 180.27/180.09 Problem 1: 180.27/180.09 180.27/180.09 Reduction Pair Processor: 180.27/180.09 -> Pairs: 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 3#(3(0(x1:S))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.09 -> Rules: 180.27/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.09 -> Usable rules: 180.27/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.09 ->Interpretation type: 180.27/180.09 Linear 180.27/180.09 ->Coefficients: 180.27/180.09 Natural Numbers 180.27/180.09 ->Dimension: 180.27/180.09 1 180.27/180.09 ->Bound: 180.27/180.09 2 180.27/180.09 ->Interpretation: 180.27/180.09 180.27/180.09 [0](X) = X 180.27/180.09 [1](X) = X 180.27/180.09 [2](X) = 2.X + 2 180.27/180.09 [3](X) = X 180.27/180.09 [4](X) = X 180.27/180.09 [5](X) = 2.X + 2 180.27/180.09 [2#](X) = 2.X + 2 180.27/180.09 [3#](X) = 2.X + 1 180.27/180.09 [4#](X) = 2.X + 2 180.27/180.09 [5#](X) = 2.X + 2 180.27/180.09 180.27/180.09 Problem 1: 180.27/180.09 180.27/180.09 SCC Processor: 180.27/180.09 -> Pairs: 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.09 -> Rules: 180.27/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.09 ->Strongly Connected Components: 180.27/180.09 ->->Cycle: 180.27/180.09 ->->-> Pairs: 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.09 ->->-> Rules: 180.27/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.09 180.27/180.09 Problem 1: 180.27/180.09 180.27/180.09 Reduction Pair Processor: 180.27/180.09 -> Pairs: 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.09 -> Rules: 180.27/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.09 -> Usable rules: 180.27/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.27/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.27/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.27/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.27/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.27/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.27/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.27/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.27/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.27/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.27/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.27/180.09 ->Interpretation type: 180.27/180.09 Linear 180.27/180.09 ->Coefficients: 180.27/180.09 Natural Numbers 180.27/180.09 ->Dimension: 180.27/180.09 1 180.27/180.09 ->Bound: 180.27/180.09 2 180.27/180.09 ->Interpretation: 180.27/180.09 180.27/180.09 [0](X) = 1 180.27/180.09 [1](X) = 0 180.27/180.09 [2](X) = 2.X 180.27/180.09 [3](X) = 0 180.27/180.09 [4](X) = 0 180.27/180.09 [5](X) = 2 180.27/180.09 [2#](X) = 2 180.27/180.09 [3#](X) = 2 180.27/180.09 [4#](X) = X 180.27/180.09 [5#](X) = 2 180.27/180.09 180.27/180.09 Problem 1: 180.27/180.09 180.27/180.09 SCC Processor: 180.27/180.09 -> Pairs: 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.27/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.27/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.27/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.27/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.27/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.27/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.27/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.27/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.27/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.27/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.27/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.27/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.27/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.27/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.27/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.27/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.27/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.27/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.27/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.27/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.27/180.09 -> Rules: 180.27/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.27/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.27/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.27/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.27/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.27/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.09 ->Strongly Connected Components: 180.32/180.09 ->->Cycle: 180.32/180.09 ->->-> Pairs: 180.32/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.32/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.09 ->->-> Rules: 180.32/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.09 180.32/180.09 Problem 1: 180.32/180.09 180.32/180.09 Reduction Pair Processor: 180.32/180.09 -> Pairs: 180.32/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 4#(3(0(5(1(3(3(0(x1:S)))))))) 180.32/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.09 -> Rules: 180.32/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.09 -> Usable rules: 180.32/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.09 ->Interpretation type: 180.32/180.09 Linear 180.32/180.09 ->Coefficients: 180.32/180.09 Natural Numbers 180.32/180.09 ->Dimension: 180.32/180.09 1 180.32/180.09 ->Bound: 180.32/180.09 2 180.32/180.09 ->Interpretation: 180.32/180.09 180.32/180.09 [0](X) = 1 180.32/180.09 [1](X) = 0 180.32/180.09 [2](X) = 2.X 180.32/180.09 [3](X) = 0 180.32/180.09 [4](X) = 0 180.32/180.09 [5](X) = 2 180.32/180.09 [2#](X) = 2 180.32/180.09 [3#](X) = 2 180.32/180.09 [4#](X) = X 180.32/180.09 [5#](X) = 2 180.32/180.09 180.32/180.09 Problem 1: 180.32/180.09 180.32/180.09 SCC Processor: 180.32/180.09 -> Pairs: 180.32/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.09 -> Rules: 180.32/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.09 ->Strongly Connected Components: 180.32/180.09 ->->Cycle: 180.32/180.09 ->->-> Pairs: 180.32/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.09 ->->-> Rules: 180.32/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.09 180.32/180.09 Problem 1: 180.32/180.09 180.32/180.09 Reduction Pair Processor: 180.32/180.09 -> Pairs: 180.32/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 2#(x1:S) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.09 -> Rules: 180.32/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.09 -> Usable rules: 180.32/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.09 ->Interpretation type: 180.32/180.09 Linear 180.32/180.09 ->Coefficients: 180.32/180.09 Natural Numbers 180.32/180.09 ->Dimension: 180.32/180.09 1 180.32/180.09 ->Bound: 180.32/180.09 2 180.32/180.09 ->Interpretation: 180.32/180.09 180.32/180.09 [0](X) = X + 2 180.32/180.09 [1](X) = X 180.32/180.09 [2](X) = 2.X + 2 180.32/180.09 [3](X) = X 180.32/180.09 [4](X) = X 180.32/180.09 [5](X) = 2.X + 2 180.32/180.09 [2#](X) = 2.X + 2 180.32/180.09 [3#](X) = 2.X + 2 180.32/180.09 [4#](X) = 2.X + 2 180.32/180.09 [5#](X) = 2.X + 2 180.32/180.09 180.32/180.09 Problem 1: 180.32/180.09 180.32/180.09 SCC Processor: 180.32/180.09 -> Pairs: 180.32/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.09 -> Rules: 180.32/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.09 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.09 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.09 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.09 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.09 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.09 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.09 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.09 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.09 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.09 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.09 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.09 ->Strongly Connected Components: 180.32/180.09 ->->Cycle: 180.32/180.09 ->->-> Pairs: 180.32/180.09 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.09 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.09 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.09 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.09 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.09 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.09 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.09 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.09 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.09 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.09 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.09 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.09 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.09 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.09 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.09 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.09 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.09 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.09 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.09 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.09 ->->-> Rules: 180.32/180.09 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.09 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.09 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.09 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.09 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 180.32/180.10 Problem 1: 180.32/180.10 180.32/180.10 Reduction Pair Processor: 180.32/180.10 -> Pairs: 180.32/180.10 2#(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 5#(1(3(3(0(x1:S))))) 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 -> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 -> Usable rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 ->Interpretation type: 180.32/180.10 Linear 180.32/180.10 ->Coefficients: 180.32/180.10 Natural Numbers 180.32/180.10 ->Dimension: 180.32/180.10 1 180.32/180.10 ->Bound: 180.32/180.10 2 180.32/180.10 ->Interpretation: 180.32/180.10 180.32/180.10 [0](X) = 2.X + 2 180.32/180.10 [1](X) = 2.X + 2 180.32/180.10 [2](X) = 2.X + 2 180.32/180.10 [3](X) = 2.X + 2 180.32/180.10 [4](X) = 2.X + 2 180.32/180.10 [5](X) = 2.X + 2 180.32/180.10 [2#](X) = X + 2 180.32/180.10 [3#](X) = X + 2 180.32/180.10 [4#](X) = 2.X 180.32/180.10 [5#](X) = X + 1 180.32/180.10 180.32/180.10 Problem 1: 180.32/180.10 180.32/180.10 SCC Processor: 180.32/180.10 -> Pairs: 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 -> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 ->Strongly Connected Components: 180.32/180.10 ->->Cycle: 180.32/180.10 ->->-> Pairs: 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 ->->-> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 180.32/180.10 Problem 1: 180.32/180.10 180.32/180.10 Reduction Pair Processor: 180.32/180.10 -> Pairs: 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 3#(4(0(1(2(x1:S))))) 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 -> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 -> Usable rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 ->Interpretation type: 180.32/180.10 Linear 180.32/180.10 ->Coefficients: 180.32/180.10 Natural Numbers 180.32/180.10 ->Dimension: 180.32/180.10 1 180.32/180.10 ->Bound: 180.32/180.10 2 180.32/180.10 ->Interpretation: 180.32/180.10 180.32/180.10 [0](X) = 2.X + 2 180.32/180.10 [1](X) = 2.X + 2 180.32/180.10 [2](X) = 2.X + 2 180.32/180.10 [3](X) = 2.X + 2 180.32/180.10 [4](X) = 2.X + 2 180.32/180.10 [5](X) = 2.X + 2 180.32/180.10 [2#](X) = 2.X + 2 180.32/180.10 [3#](X) = 2.X 180.32/180.10 [4#](X) = 2.X + 2 180.32/180.10 [5#](X) = 2.X + 2 180.32/180.10 180.32/180.10 Problem 1: 180.32/180.10 180.32/180.10 SCC Processor: 180.32/180.10 -> Pairs: 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 -> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 ->Strongly Connected Components: 180.32/180.10 ->->Cycle: 180.32/180.10 ->->-> Pairs: 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 ->->-> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 180.32/180.10 Problem 1: 180.32/180.10 180.32/180.10 Reduction Pair Processor: 180.32/180.10 -> Pairs: 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(1(2(x1:S)))) 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 -> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 -> Usable rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 ->Interpretation type: 180.32/180.10 Linear 180.32/180.10 ->Coefficients: 180.32/180.10 Natural Numbers 180.32/180.10 ->Dimension: 180.32/180.10 1 180.32/180.10 ->Bound: 180.32/180.10 2 180.32/180.10 ->Interpretation: 180.32/180.10 180.32/180.10 [0](X) = 2.X + 2 180.32/180.10 [1](X) = 2.X + 2 180.32/180.10 [2](X) = 2.X + 2 180.32/180.10 [3](X) = 2.X + 2 180.32/180.10 [4](X) = 2.X + 2 180.32/180.10 [5](X) = 2.X + 2 180.32/180.10 [2#](X) = 2.X + 2 180.32/180.10 [3#](X) = 2.X + 2 180.32/180.10 [4#](X) = X + 2 180.32/180.10 [5#](X) = 2.X 180.32/180.10 180.32/180.10 Problem 1: 180.32/180.10 180.32/180.10 SCC Processor: 180.32/180.10 -> Pairs: 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 -> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 ->Strongly Connected Components: 180.32/180.10 ->->Cycle: 180.32/180.10 ->->-> Pairs: 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 ->->-> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 180.32/180.10 Problem 1: 180.32/180.10 180.32/180.10 Reduction Pair Processor: 180.32/180.10 -> Pairs: 180.32/180.10 2#(1(5(2(1(3(4(4(x1:S)))))))) -> 4#(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 -> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 -> Usable rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 ->Interpretation type: 180.32/180.10 Linear 180.32/180.10 ->Coefficients: 180.32/180.10 Natural Numbers 180.32/180.10 ->Dimension: 180.32/180.10 1 180.32/180.10 ->Bound: 180.32/180.10 2 180.32/180.10 ->Interpretation: 180.32/180.10 180.32/180.10 [0](X) = X 180.32/180.10 [1](X) = X 180.32/180.10 [2](X) = X + 1 180.32/180.10 [3](X) = X 180.32/180.10 [4](X) = X 180.32/180.10 [5](X) = X + 1 180.32/180.10 [2#](X) = X + 1 180.32/180.10 [3#](X) = X + 2 180.32/180.10 [4#](X) = X + 1 180.32/180.10 [5#](X) = X + 1 180.32/180.10 180.32/180.10 Problem 1: 180.32/180.10 180.32/180.10 SCC Processor: 180.32/180.10 -> Pairs: 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 -> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 ->Strongly Connected Components: 180.32/180.10 ->->Cycle: 180.32/180.10 ->->-> Pairs: 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 ->->-> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 180.32/180.10 Problem 1: 180.32/180.10 180.32/180.10 Reduction Pair Processor: 180.32/180.10 -> Pairs: 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(3(4(3(4(2(0(x1:S)))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 -> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 -> Usable rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 ->Interpretation type: 180.32/180.10 Linear 180.32/180.10 ->Coefficients: 180.32/180.10 Natural Numbers 180.32/180.10 ->Dimension: 180.32/180.10 1 180.32/180.10 ->Bound: 180.32/180.10 2 180.32/180.10 ->Interpretation: 180.32/180.10 180.32/180.10 [0](X) = 1 180.32/180.10 [1](X) = 0 180.32/180.10 [2](X) = 2.X 180.32/180.10 [3](X) = 0 180.32/180.10 [4](X) = 0 180.32/180.10 [5](X) = 2 180.32/180.10 [2#](X) = 2 180.32/180.10 [3#](X) = 2 180.32/180.10 [4#](X) = X 180.32/180.10 [5#](X) = 2 180.32/180.10 180.32/180.10 Problem 1: 180.32/180.10 180.32/180.10 SCC Processor: 180.32/180.10 -> Pairs: 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.10 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.10 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.10 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.10 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.10 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.10 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.10 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.10 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.10 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.10 -> Rules: 180.32/180.10 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.10 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.10 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.10 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.10 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.10 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.10 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.10 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.10 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.10 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.10 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.10 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.10 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.10 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.10 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.10 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.10 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.10 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.10 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.10 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.10 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.10 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.10 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.10 ->Strongly Connected Components: 180.32/180.10 ->->Cycle: 180.32/180.10 ->->-> Pairs: 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.10 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.10 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.10 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.10 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.10 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.10 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.10 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 ->->-> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 180.32/180.11 Problem 1: 180.32/180.11 180.32/180.11 Reduction Pair Processor: 180.32/180.11 -> Pairs: 180.32/180.11 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.11 2#(2(5(3(2(2(x1:S)))))) -> 5#(1(1(0(3(x1:S))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 -> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 -> Usable rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 ->Interpretation type: 180.32/180.11 Linear 180.32/180.11 ->Coefficients: 180.32/180.11 Natural Numbers 180.32/180.11 ->Dimension: 180.32/180.11 1 180.32/180.11 ->Bound: 180.32/180.11 2 180.32/180.11 ->Interpretation: 180.32/180.11 180.32/180.11 [0](X) = 2 180.32/180.11 [1](X) = 0 180.32/180.11 [2](X) = 2 180.32/180.11 [3](X) = 0 180.32/180.11 [4](X) = 2 180.32/180.11 [5](X) = 2 180.32/180.11 [2#](X) = 2 180.32/180.11 [3#](X) = 2 180.32/180.11 [4#](X) = 2 180.32/180.11 [5#](X) = X 180.32/180.11 180.32/180.11 Problem 1: 180.32/180.11 180.32/180.11 SCC Processor: 180.32/180.11 -> Pairs: 180.32/180.11 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 -> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 ->Strongly Connected Components: 180.32/180.11 ->->Cycle: 180.32/180.11 ->->-> Pairs: 180.32/180.11 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 ->->-> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 180.32/180.11 Problem 1: 180.32/180.11 180.32/180.11 Reduction Pair Processor: 180.32/180.11 -> Pairs: 180.32/180.11 2#(2(5(3(2(2(x1:S)))))) -> 3#(x1:S) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 -> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 -> Usable rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 ->Interpretation type: 180.32/180.11 Linear 180.32/180.11 ->Coefficients: 180.32/180.11 Natural Numbers 180.32/180.11 ->Dimension: 180.32/180.11 1 180.32/180.11 ->Bound: 180.32/180.11 2 180.32/180.11 ->Interpretation: 180.32/180.11 180.32/180.11 [0](X) = X + 2 180.32/180.11 [1](X) = X + 2 180.32/180.11 [2](X) = X + 2 180.32/180.11 [3](X) = X + 2 180.32/180.11 [4](X) = X + 2 180.32/180.11 [5](X) = X + 2 180.32/180.11 [2#](X) = 2.X + 2 180.32/180.11 [3#](X) = 2.X + 1 180.32/180.11 [4#](X) = 2.X + 1 180.32/180.11 [5#](X) = 2.X + 2 180.32/180.11 180.32/180.11 Problem 1: 180.32/180.11 180.32/180.11 SCC Processor: 180.32/180.11 -> Pairs: 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 -> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 ->Strongly Connected Components: 180.32/180.11 ->->Cycle: 180.32/180.11 ->->-> Pairs: 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 ->->-> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 180.32/180.11 Problem 1: 180.32/180.11 180.32/180.11 Reduction Pair Processor: 180.32/180.11 -> Pairs: 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(0(x1:S)) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 -> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 -> Usable rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 ->Interpretation type: 180.32/180.11 Linear 180.32/180.11 ->Coefficients: 180.32/180.11 Natural Numbers 180.32/180.11 ->Dimension: 180.32/180.11 1 180.32/180.11 ->Bound: 180.32/180.11 2 180.32/180.11 ->Interpretation: 180.32/180.11 180.32/180.11 [0](X) = X + 1 180.32/180.11 [1](X) = X + 1 180.32/180.11 [2](X) = X + 2 180.32/180.11 [3](X) = X + 1 180.32/180.11 [4](X) = X + 1 180.32/180.11 [5](X) = X + 2 180.32/180.11 [2#](X) = 2.X + 2 180.32/180.11 [3#](X) = 2.X 180.32/180.11 [4#](X) = 2.X + 2 180.32/180.11 [5#](X) = 2.X + 2 180.32/180.11 180.32/180.11 Problem 1: 180.32/180.11 180.32/180.11 SCC Processor: 180.32/180.11 -> Pairs: 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 -> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 ->Strongly Connected Components: 180.32/180.11 ->->Cycle: 180.32/180.11 ->->-> Pairs: 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 ->->-> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 180.32/180.11 Problem 1: 180.32/180.11 180.32/180.11 Reduction Pair Processor: 180.32/180.11 -> Pairs: 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 2#(3(4(3(4(2(0(x1:S))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 -> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 -> Usable rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 ->Interpretation type: 180.32/180.11 Linear 180.32/180.11 ->Coefficients: 180.32/180.11 Natural Numbers 180.32/180.11 ->Dimension: 180.32/180.11 1 180.32/180.11 ->Bound: 180.32/180.11 2 180.32/180.11 ->Interpretation: 180.32/180.11 180.32/180.11 [0](X) = X + 2 180.32/180.11 [1](X) = X + 2 180.32/180.11 [2](X) = X + 2 180.32/180.11 [3](X) = X + 2 180.32/180.11 [4](X) = X + 2 180.32/180.11 [5](X) = X + 2 180.32/180.11 [2#](X) = 2.X + 2 180.32/180.11 [3#](X) = 2.X + 2 180.32/180.11 [4#](X) = 2.X + 1 180.32/180.11 [5#](X) = 2.X + 2 180.32/180.11 180.32/180.11 Problem 1: 180.32/180.11 180.32/180.11 SCC Processor: 180.32/180.11 -> Pairs: 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 -> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 ->Strongly Connected Components: 180.32/180.11 ->->Cycle: 180.32/180.11 ->->-> Pairs: 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 ->->-> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 180.32/180.11 Problem 1: 180.32/180.11 180.32/180.11 Reduction Pair Processor: 180.32/180.11 -> Pairs: 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(0(4(2(3(4(3(4(2(0(x1:S)))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 -> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 -> Usable rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 ->Interpretation type: 180.32/180.11 Linear 180.32/180.11 ->Coefficients: 180.32/180.11 Natural Numbers 180.32/180.11 ->Dimension: 180.32/180.11 1 180.32/180.11 ->Bound: 180.32/180.11 2 180.32/180.11 ->Interpretation: 180.32/180.11 180.32/180.11 [0](X) = X + 2 180.32/180.11 [1](X) = X + 2 180.32/180.11 [2](X) = X + 2 180.32/180.11 [3](X) = X + 2 180.32/180.11 [4](X) = X + 2 180.32/180.11 [5](X) = X + 2 180.32/180.11 [2#](X) = 2.X + 2 180.32/180.11 [3#](X) = 2.X + 2 180.32/180.11 [4#](X) = 2.X + 1 180.32/180.11 [5#](X) = 2.X + 1 180.32/180.11 180.32/180.11 Problem 1: 180.32/180.11 180.32/180.11 SCC Processor: 180.32/180.11 -> Pairs: 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.11 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.11 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.11 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.11 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.11 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.11 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.11 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.11 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.11 -> Rules: 180.32/180.11 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.11 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.11 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.11 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.11 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.11 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.11 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.11 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.11 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.11 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.11 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.11 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.11 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.11 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.11 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.11 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.11 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.11 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.11 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.11 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.11 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.11 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.11 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.11 ->Strongly Connected Components: 180.32/180.11 ->->Cycle: 180.32/180.11 ->->-> Pairs: 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.11 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.11 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.11 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.11 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.11 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.11 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.11 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 ->->-> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 180.32/180.12 Problem 1: 180.32/180.12 180.32/180.12 Reduction Pair Processor: 180.32/180.12 -> Pairs: 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(2(0(x1:S)))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 -> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 -> Usable rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 ->Interpretation type: 180.32/180.12 Linear 180.32/180.12 ->Coefficients: 180.32/180.12 Natural Numbers 180.32/180.12 ->Dimension: 180.32/180.12 1 180.32/180.12 ->Bound: 180.32/180.12 2 180.32/180.12 ->Interpretation: 180.32/180.12 180.32/180.12 [0](X) = X + 2 180.32/180.12 [1](X) = X + 2 180.32/180.12 [2](X) = X + 2 180.32/180.12 [3](X) = X + 2 180.32/180.12 [4](X) = X + 2 180.32/180.12 [5](X) = X + 2 180.32/180.12 [2#](X) = 2.X + 2 180.32/180.12 [3#](X) = 2.X + 2 180.32/180.12 [4#](X) = 2.X 180.32/180.12 [5#](X) = 2.X + 2 180.32/180.12 180.32/180.12 Problem 1: 180.32/180.12 180.32/180.12 SCC Processor: 180.32/180.12 -> Pairs: 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 -> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 ->Strongly Connected Components: 180.32/180.12 ->->Cycle: 180.32/180.12 ->->-> Pairs: 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 ->->-> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 180.32/180.12 Problem 1: 180.32/180.12 180.32/180.12 Reduction Pair Processor: 180.32/180.12 -> Pairs: 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 3#(4(3(4(2(0(x1:S)))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 -> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 -> Usable rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 ->Interpretation type: 180.32/180.12 Linear 180.32/180.12 ->Coefficients: 180.32/180.12 Natural Numbers 180.32/180.12 ->Dimension: 180.32/180.12 1 180.32/180.12 ->Bound: 180.32/180.12 2 180.32/180.12 ->Interpretation: 180.32/180.12 180.32/180.12 [0](X) = X + 2 180.32/180.12 [1](X) = X + 2 180.32/180.12 [2](X) = X + 2 180.32/180.12 [3](X) = X + 2 180.32/180.12 [4](X) = X + 2 180.32/180.12 [5](X) = X + 2 180.32/180.12 [2#](X) = 2.X + 2 180.32/180.12 [3#](X) = 2.X + 1 180.32/180.12 [4#](X) = 2.X + 2 180.32/180.12 [5#](X) = 2.X + 2 180.32/180.12 180.32/180.12 Problem 1: 180.32/180.12 180.32/180.12 SCC Processor: 180.32/180.12 -> Pairs: 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 -> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 ->Strongly Connected Components: 180.32/180.12 ->->Cycle: 180.32/180.12 ->->-> Pairs: 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 ->->-> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 180.32/180.12 Problem 1: 180.32/180.12 180.32/180.12 Reduction Pair Processor: 180.32/180.12 -> Pairs: 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(2(0(x1:S))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 -> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 -> Usable rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 ->Interpretation type: 180.32/180.12 Linear 180.32/180.12 ->Coefficients: 180.32/180.12 Natural Numbers 180.32/180.12 ->Dimension: 180.32/180.12 1 180.32/180.12 ->Bound: 180.32/180.12 2 180.32/180.12 ->Interpretation: 180.32/180.12 180.32/180.12 [0](X) = X + 2 180.32/180.12 [1](X) = X + 2 180.32/180.12 [2](X) = X + 2 180.32/180.12 [3](X) = X + 2 180.32/180.12 [4](X) = X + 2 180.32/180.12 [5](X) = X + 2 180.32/180.12 [2#](X) = 2.X + 2 180.32/180.12 [3#](X) = 2.X + 1 180.32/180.12 [4#](X) = 2.X + 2 180.32/180.12 [5#](X) = 2.X + 2 180.32/180.12 180.32/180.12 Problem 1: 180.32/180.12 180.32/180.12 SCC Processor: 180.32/180.12 -> Pairs: 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 -> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 ->Strongly Connected Components: 180.32/180.12 ->->Cycle: 180.32/180.12 ->->-> Pairs: 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 ->->-> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 180.32/180.12 Problem 1: 180.32/180.12 180.32/180.12 Reduction Pair Processor: 180.32/180.12 -> Pairs: 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 -> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 -> Usable rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 ->Interpretation type: 180.32/180.12 Linear 180.32/180.12 ->Coefficients: 180.32/180.12 Natural Numbers 180.32/180.12 ->Dimension: 180.32/180.12 1 180.32/180.12 ->Bound: 180.32/180.12 2 180.32/180.12 ->Interpretation: 180.32/180.12 180.32/180.12 [0](X) = 1 180.32/180.12 [1](X) = 0 180.32/180.12 [2](X) = 2.X 180.32/180.12 [3](X) = 0 180.32/180.12 [4](X) = 0 180.32/180.12 [5](X) = 1 180.32/180.12 [2#](X) = 2 180.32/180.12 [3#](X) = 2 180.32/180.12 [4#](X) = X + 1 180.32/180.12 [5#](X) = 2 180.32/180.12 180.32/180.12 Problem 1: 180.32/180.12 180.32/180.12 SCC Processor: 180.32/180.12 -> Pairs: 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 -> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 ->Strongly Connected Components: 180.32/180.12 ->->Cycle: 180.32/180.12 ->->-> Pairs: 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 ->->-> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 180.32/180.12 Problem 1: 180.32/180.12 180.32/180.12 Reduction Pair Processor: 180.32/180.12 -> Pairs: 180.32/180.12 2#(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4#(3(4(2(0(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 -> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 -> Usable rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 ->Interpretation type: 180.32/180.12 Linear 180.32/180.12 ->Coefficients: 180.32/180.12 Natural Numbers 180.32/180.12 ->Dimension: 180.32/180.12 1 180.32/180.12 ->Bound: 180.32/180.12 2 180.32/180.12 ->Interpretation: 180.32/180.12 180.32/180.12 [0](X) = X + 2 180.32/180.12 [1](X) = X + 2 180.32/180.12 [2](X) = X + 2 180.32/180.12 [3](X) = X + 2 180.32/180.12 [4](X) = X + 2 180.32/180.12 [5](X) = X + 2 180.32/180.12 [2#](X) = 2.X + 2 180.32/180.12 [3#](X) = 2.X + 2 180.32/180.12 [4#](X) = 2.X 180.32/180.12 [5#](X) = 2.X + 2 180.32/180.12 180.32/180.12 Problem 1: 180.32/180.12 180.32/180.12 SCC Processor: 180.32/180.12 -> Pairs: 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 -> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.12 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.12 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.12 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.12 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.12 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.12 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.12 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.12 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.12 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.12 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.12 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.12 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.12 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.12 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.12 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.12 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.12 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.12 ->Strongly Connected Components: 180.32/180.12 ->->Cycle: 180.32/180.12 ->->-> Pairs: 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.12 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.12 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.12 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.12 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.12 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.12 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.12 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.12 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.12 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.12 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.12 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.12 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.12 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.12 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.12 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.12 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.12 ->->-> Rules: 180.32/180.12 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 180.32/180.13 Problem 1: 180.32/180.13 180.32/180.13 Reduction Pair Processor: 180.32/180.13 -> Pairs: 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 2#(1(2(4(1(x1:S))))) 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 -> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 -> Usable rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 ->Interpretation type: 180.32/180.13 Linear 180.32/180.13 ->Coefficients: 180.32/180.13 Natural Numbers 180.32/180.13 ->Dimension: 180.32/180.13 1 180.32/180.13 ->Bound: 180.32/180.13 2 180.32/180.13 ->Interpretation: 180.32/180.13 180.32/180.13 [0](X) = 2 180.32/180.13 [1](X) = 1 180.32/180.13 [2](X) = 2 180.32/180.13 [3](X) = 1 180.32/180.13 [4](X) = 2 180.32/180.13 [5](X) = 2 180.32/180.13 [2#](X) = X 180.32/180.13 [3#](X) = 2 180.32/180.13 [4#](X) = 2 180.32/180.13 [5#](X) = 2 180.32/180.13 180.32/180.13 Problem 1: 180.32/180.13 180.32/180.13 SCC Processor: 180.32/180.13 -> Pairs: 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 -> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 ->Strongly Connected Components: 180.32/180.13 ->->Cycle: 180.32/180.13 ->->-> Pairs: 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 ->->-> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 180.32/180.13 Problem 1: 180.32/180.13 180.32/180.13 Reduction Pair Processor: 180.32/180.13 -> Pairs: 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 2#(4(1(x1:S))) 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 -> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 -> Usable rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 ->Interpretation type: 180.32/180.13 Linear 180.32/180.13 ->Coefficients: 180.32/180.13 Natural Numbers 180.32/180.13 ->Dimension: 180.32/180.13 1 180.32/180.13 ->Bound: 180.32/180.13 2 180.32/180.13 ->Interpretation: 180.32/180.13 180.32/180.13 [0](X) = 2.X + 2 180.32/180.13 [1](X) = 2.X + 2 180.32/180.13 [2](X) = 2.X + 2 180.32/180.13 [3](X) = 2.X + 2 180.32/180.13 [4](X) = 2.X + 2 180.32/180.13 [5](X) = 2.X + 2 180.32/180.13 [2#](X) = 2.X + 2 180.32/180.13 [3#](X) = 2.X + 2 180.32/180.13 [4#](X) = 2.X + 2 180.32/180.13 [5#](X) = 2.X + 2 180.32/180.13 180.32/180.13 Problem 1: 180.32/180.13 180.32/180.13 SCC Processor: 180.32/180.13 -> Pairs: 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 -> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 ->Strongly Connected Components: 180.32/180.13 ->->Cycle: 180.32/180.13 ->->-> Pairs: 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 ->->-> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 180.32/180.13 Problem 1: 180.32/180.13 180.32/180.13 Reduction Pair Processor: 180.32/180.13 -> Pairs: 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 4#(1(x1:S)) 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 -> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 -> Usable rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 ->Interpretation type: 180.32/180.13 Linear 180.32/180.13 ->Coefficients: 180.32/180.13 Natural Numbers 180.32/180.13 ->Dimension: 180.32/180.13 1 180.32/180.13 ->Bound: 180.32/180.13 2 180.32/180.13 ->Interpretation: 180.32/180.13 180.32/180.13 [0](X) = 2.X + 2 180.32/180.13 [1](X) = 2.X + 2 180.32/180.13 [2](X) = 2.X + 2 180.32/180.13 [3](X) = 2.X + 2 180.32/180.13 [4](X) = 2.X + 2 180.32/180.13 [5](X) = 2.X + 2 180.32/180.13 [2#](X) = 2.X + 2 180.32/180.13 [3#](X) = X + 1 180.32/180.13 [4#](X) = 2.X + 2 180.32/180.13 [5#](X) = X + 1 180.32/180.13 180.32/180.13 Problem 1: 180.32/180.13 180.32/180.13 SCC Processor: 180.32/180.13 -> Pairs: 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 -> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 ->Strongly Connected Components: 180.32/180.13 ->->Cycle: 180.32/180.13 ->->-> Pairs: 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 ->->-> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 180.32/180.13 Problem 1: 180.32/180.13 180.32/180.13 Reduction Pair Processor: 180.32/180.13 -> Pairs: 180.32/180.13 2#(5(1(2(1(1(x1:S)))))) -> 5#(2(1(2(4(1(x1:S)))))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 -> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 -> Usable rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 ->Interpretation type: 180.32/180.13 Linear 180.32/180.13 ->Coefficients: 180.32/180.13 Natural Numbers 180.32/180.13 ->Dimension: 180.32/180.13 1 180.32/180.13 ->Bound: 180.32/180.13 2 180.32/180.13 ->Interpretation: 180.32/180.13 180.32/180.13 [0](X) = 2 180.32/180.13 [1](X) = 0 180.32/180.13 [2](X) = 2.X 180.32/180.13 [3](X) = 0 180.32/180.13 [4](X) = 0 180.32/180.13 [5](X) = 2 180.32/180.13 [2#](X) = 2.X + 2 180.32/180.13 [3#](X) = 2 180.32/180.13 [4#](X) = 2 180.32/180.13 [5#](X) = 2 180.32/180.13 180.32/180.13 Problem 1: 180.32/180.13 180.32/180.13 SCC Processor: 180.32/180.13 -> Pairs: 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 2#(4(3(0(x1:S)))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 2#(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 2#(4(x1:S)) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 2#(4(5(1(x1:S)))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 2#(3(x1:S)) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 2#(1(0(3(3(5(0(4(1(x1:S))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(1(0(3(2(2(1(3(x1:S))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(1(3(x1:S))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 2#(2(1(3(x1:S)))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 -> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 ->Strongly Connected Components: 180.32/180.13 ->->Cycle: 180.32/180.13 ->->-> Pairs: 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 ->->-> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 180.32/180.13 Problem 1: 180.32/180.13 180.32/180.13 Reduction Pair Processor: 180.32/180.13 -> Pairs: 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(x1:S) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 -> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 -> Usable rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 ->Interpretation type: 180.32/180.13 Linear 180.32/180.13 ->Coefficients: 180.32/180.13 Natural Numbers 180.32/180.13 ->Dimension: 180.32/180.13 1 180.32/180.13 ->Bound: 180.32/180.13 2 180.32/180.13 ->Interpretation: 180.32/180.13 180.32/180.13 [0](X) = 2.X + 2 180.32/180.13 [1](X) = 2.X + 2 180.32/180.13 [2](X) = 2.X + 2 180.32/180.13 [3](X) = 2.X + 2 180.32/180.13 [4](X) = 2.X + 2 180.32/180.13 [5](X) = 2.X + 2 180.32/180.13 [3#](X) = X + 1 180.32/180.13 [4#](X) = X 180.32/180.13 [5#](X) = X 180.32/180.13 180.32/180.13 Problem 1: 180.32/180.13 180.32/180.13 SCC Processor: 180.32/180.13 -> Pairs: 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 -> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 ->Strongly Connected Components: 180.32/180.13 ->->Cycle: 180.32/180.13 ->->-> Pairs: 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 ->->-> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 180.32/180.13 Problem 1: 180.32/180.13 180.32/180.13 Reduction Pair Processor: 180.32/180.13 -> Pairs: 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(3(x1:S))) 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.13 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.13 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.13 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.13 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.13 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.13 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.13 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.13 -> Rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 -> Usable rules: 180.32/180.13 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.13 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.13 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.13 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.13 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.13 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.13 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.13 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.13 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.13 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.13 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.13 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.13 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.13 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.13 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.13 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.13 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.13 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.13 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.13 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.13 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.13 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.13 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.13 ->Interpretation type: 180.32/180.13 Linear 180.32/180.13 ->Coefficients: 180.32/180.13 Natural Numbers 180.32/180.13 ->Dimension: 180.32/180.13 1 180.32/180.13 ->Bound: 180.32/180.13 2 180.32/180.13 ->Interpretation: 180.32/180.13 180.32/180.13 [0](X) = 2.X + 2 180.32/180.13 [1](X) = 2.X + 2 180.32/180.13 [2](X) = 2.X + 2 180.32/180.13 [3](X) = 2.X + 2 180.32/180.13 [4](X) = 2.X + 2 180.32/180.13 [5](X) = 2.X + 2 180.32/180.13 [3#](X) = X + 2 180.32/180.13 [4#](X) = 2.X + 2 180.32/180.13 [5#](X) = X + 2 180.32/180.13 180.32/180.13 Problem 1: 180.32/180.13 180.32/180.13 SCC Processor: 180.32/180.13 -> Pairs: 180.32/180.13 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.13 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.13 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.13 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.13 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 -> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 ->Strongly Connected Components: 180.32/180.14 ->->Cycle: 180.32/180.14 ->->-> Pairs: 180.32/180.14 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 ->->-> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 180.32/180.14 Problem 1: 180.32/180.14 180.32/180.14 Reduction Pair Processor: 180.32/180.14 -> Pairs: 180.32/180.14 3#(4(1(4(2(4(x1:S)))))) -> 3#(3(x1:S)) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 -> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 -> Usable rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 ->Interpretation type: 180.32/180.14 Linear 180.32/180.14 ->Coefficients: 180.32/180.14 Natural Numbers 180.32/180.14 ->Dimension: 180.32/180.14 1 180.32/180.14 ->Bound: 180.32/180.14 2 180.32/180.14 ->Interpretation: 180.32/180.14 180.32/180.14 [0](X) = X + 2 180.32/180.14 [1](X) = X + 2 180.32/180.14 [2](X) = X + 2 180.32/180.14 [3](X) = X + 2 180.32/180.14 [4](X) = X + 2 180.32/180.14 [5](X) = X + 2 180.32/180.14 [3#](X) = 2.X 180.32/180.14 [4#](X) = 2.X 180.32/180.14 [5#](X) = 2.X 180.32/180.14 180.32/180.14 Problem 1: 180.32/180.14 180.32/180.14 SCC Processor: 180.32/180.14 -> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 -> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 ->Strongly Connected Components: 180.32/180.14 ->->Cycle: 180.32/180.14 ->->-> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 ->->-> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 180.32/180.14 Problem 1: 180.32/180.14 180.32/180.14 Reduction Pair Processor: 180.32/180.14 -> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(1(3(3(4(x1:S))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 -> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 -> Usable rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 ->Interpretation type: 180.32/180.14 Linear 180.32/180.14 ->Coefficients: 180.32/180.14 Natural Numbers 180.32/180.14 ->Dimension: 180.32/180.14 1 180.32/180.14 ->Bound: 180.32/180.14 2 180.32/180.14 ->Interpretation: 180.32/180.14 180.32/180.14 [0](X) = X + 2 180.32/180.14 [1](X) = X + 2 180.32/180.14 [2](X) = X + 2 180.32/180.14 [3](X) = X + 2 180.32/180.14 [4](X) = X + 2 180.32/180.14 [5](X) = X + 2 180.32/180.14 [3#](X) = 2.X 180.32/180.14 [4#](X) = 2.X + 1 180.32/180.14 [5#](X) = 2.X + 1 180.32/180.14 180.32/180.14 Problem 1: 180.32/180.14 180.32/180.14 SCC Processor: 180.32/180.14 -> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 -> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 ->Strongly Connected Components: 180.32/180.14 ->->Cycle: 180.32/180.14 ->->-> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 ->->-> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 180.32/180.14 Problem 1: 180.32/180.14 180.32/180.14 Reduction Pair Processor: 180.32/180.14 -> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(1(3(3(4(x1:S)))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 -> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 -> Usable rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 ->Interpretation type: 180.32/180.14 Linear 180.32/180.14 ->Coefficients: 180.32/180.14 Natural Numbers 180.32/180.14 ->Dimension: 180.32/180.14 1 180.32/180.14 ->Bound: 180.32/180.14 2 180.32/180.14 ->Interpretation: 180.32/180.14 180.32/180.14 [0](X) = X + 2 180.32/180.14 [1](X) = X + 2 180.32/180.14 [2](X) = X + 2 180.32/180.14 [3](X) = X + 2 180.32/180.14 [4](X) = X + 2 180.32/180.14 [5](X) = X + 2 180.32/180.14 [3#](X) = X 180.32/180.14 [4#](X) = X + 2 180.32/180.14 [5#](X) = X 180.32/180.14 180.32/180.14 Problem 1: 180.32/180.14 180.32/180.14 SCC Processor: 180.32/180.14 -> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 -> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 ->Strongly Connected Components: 180.32/180.14 ->->Cycle: 180.32/180.14 ->->-> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 ->->-> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 180.32/180.14 Problem 1: 180.32/180.14 180.32/180.14 Reduction Pair Processor: 180.32/180.14 -> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 -> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 -> Usable rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 ->Interpretation type: 180.32/180.14 Linear 180.32/180.14 ->Coefficients: 180.32/180.14 Natural Numbers 180.32/180.14 ->Dimension: 180.32/180.14 1 180.32/180.14 ->Bound: 180.32/180.14 2 180.32/180.14 ->Interpretation: 180.32/180.14 180.32/180.14 [0](X) = X + 2 180.32/180.14 [1](X) = X 180.32/180.14 [2](X) = 2.X + 2 180.32/180.14 [3](X) = X 180.32/180.14 [4](X) = X 180.32/180.14 [5](X) = 2.X + 2 180.32/180.14 [3#](X) = 2.X + 2 180.32/180.14 [4#](X) = 2.X + 2 180.32/180.14 [5#](X) = 2.X + 2 180.32/180.14 180.32/180.14 Problem 1: 180.32/180.14 180.32/180.14 SCC Processor: 180.32/180.14 -> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 -> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 ->Strongly Connected Components: 180.32/180.14 ->->Cycle: 180.32/180.14 ->->-> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 ->->-> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 180.32/180.14 Problem 1: 180.32/180.14 180.32/180.14 Reduction Pair Processor: 180.32/180.14 -> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(3(4(x1:S))) 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 -> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 -> Usable rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 ->Interpretation type: 180.32/180.14 Linear 180.32/180.14 ->Coefficients: 180.32/180.14 Natural Numbers 180.32/180.14 ->Dimension: 180.32/180.14 1 180.32/180.14 ->Bound: 180.32/180.14 2 180.32/180.14 ->Interpretation: 180.32/180.14 180.32/180.14 [0](X) = X + 2 180.32/180.14 [1](X) = X + 2 180.32/180.14 [2](X) = X + 2 180.32/180.14 [3](X) = X + 2 180.32/180.14 [4](X) = X + 2 180.32/180.14 [5](X) = X + 2 180.32/180.14 [3#](X) = 2.X + 2 180.32/180.14 [4#](X) = 2.X + 2 180.32/180.14 [5#](X) = 2.X 180.32/180.14 180.32/180.14 Problem 1: 180.32/180.14 180.32/180.14 SCC Processor: 180.32/180.14 -> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 -> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 ->Strongly Connected Components: 180.32/180.14 ->->Cycle: 180.32/180.14 ->->-> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 ->->-> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 180.32/180.14 Problem 1: 180.32/180.14 180.32/180.14 Reduction Pair Processor: 180.32/180.14 -> Pairs: 180.32/180.14 3#(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3#(4(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.14 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.14 -> Rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 -> Usable rules: 180.32/180.14 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.14 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.14 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.14 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.14 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.14 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.14 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.14 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.14 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.14 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.14 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.14 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.14 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.14 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.14 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.14 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.14 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.14 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.14 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.14 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.14 ->Interpretation type: 180.32/180.14 Linear 180.32/180.14 ->Coefficients: 180.32/180.14 Natural Numbers 180.32/180.14 ->Dimension: 180.32/180.14 1 180.32/180.14 ->Bound: 180.32/180.14 2 180.32/180.14 ->Interpretation: 180.32/180.14 180.32/180.14 [0](X) = X + 2 180.32/180.14 [1](X) = X + 2 180.32/180.14 [2](X) = X + 2 180.32/180.14 [3](X) = X + 2 180.32/180.14 [4](X) = X + 2 180.32/180.14 [5](X) = X + 2 180.32/180.14 [3#](X) = 2.X 180.32/180.14 [4#](X) = 2.X 180.32/180.14 [5#](X) = 2.X + 2 180.32/180.14 180.32/180.14 Problem 1: 180.32/180.14 180.32/180.14 SCC Processor: 180.32/180.14 -> Pairs: 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.14 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.14 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.14 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.14 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.14 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.14 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.14 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.14 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.14 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.14 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.14 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.14 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Strongly Connected Components: 180.32/180.15 ->->Cycle: 180.32/180.15 ->->-> Pairs: 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.15 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 ->->-> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 180.32/180.15 Problem 1: 180.32/180.15 180.32/180.15 Reduction Pair Processor: 180.32/180.15 -> Pairs: 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 3#(0(x1:S)) 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.15 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 -> Usable rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Interpretation type: 180.32/180.15 Linear 180.32/180.15 ->Coefficients: 180.32/180.15 Natural Numbers 180.32/180.15 ->Dimension: 180.32/180.15 1 180.32/180.15 ->Bound: 180.32/180.15 2 180.32/180.15 ->Interpretation: 180.32/180.15 180.32/180.15 [0](X) = X + 2 180.32/180.15 [1](X) = X + 2 180.32/180.15 [2](X) = X + 2 180.32/180.15 [3](X) = X + 2 180.32/180.15 [4](X) = X + 2 180.32/180.15 [5](X) = X + 2 180.32/180.15 [3#](X) = 2.X + 2 180.32/180.15 [4#](X) = 2.X + 2 180.32/180.15 [5#](X) = 2.X + 2 180.32/180.15 180.32/180.15 Problem 1: 180.32/180.15 180.32/180.15 SCC Processor: 180.32/180.15 -> Pairs: 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.15 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Strongly Connected Components: 180.32/180.15 ->->Cycle: 180.32/180.15 ->->-> Pairs: 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.15 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 ->->-> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 180.32/180.15 Problem 1: 180.32/180.15 180.32/180.15 Reduction Pair Processor: 180.32/180.15 -> Pairs: 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 4#(3(0(x1:S))) 180.32/180.15 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 -> Usable rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Interpretation type: 180.32/180.15 Linear 180.32/180.15 ->Coefficients: 180.32/180.15 Natural Numbers 180.32/180.15 ->Dimension: 180.32/180.15 1 180.32/180.15 ->Bound: 180.32/180.15 2 180.32/180.15 ->Interpretation: 180.32/180.15 180.32/180.15 [0](X) = 2 180.32/180.15 [1](X) = 0 180.32/180.15 [2](X) = 2 180.32/180.15 [3](X) = 0 180.32/180.15 [4](X) = 2 180.32/180.15 [5](X) = 2 180.32/180.15 [3#](X) = 2 180.32/180.15 [4#](X) = 2.X + 1 180.32/180.15 [5#](X) = 2.X + 1 180.32/180.15 180.32/180.15 Problem 1: 180.32/180.15 180.32/180.15 SCC Processor: 180.32/180.15 -> Pairs: 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.15 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 3#(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(3(5(4(1(x1:S))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 3#(5(4(1(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(4(5(0(1(4(0(3(x1:S)))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 3#(x1:S) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(1(2(x1:S))))) -> 3#(x1:S) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(2(1(0(3(3(5(0(4(1(x1:S)))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(3(5(0(4(1(x1:S)))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 3#(5(0(4(1(x1:S))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(0(4(x1:S))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 3#(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(3(1(x1:S))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(4(4(4(5(1(4(3(3(1(x1:S)))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3#(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(2(2(1(3(x1:S))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 3#(x1:S) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Strongly Connected Components: 180.32/180.15 ->->Cycle: 180.32/180.15 ->->-> Pairs: 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.15 ->->-> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->->Cycle: 180.32/180.15 ->->-> Pairs: 180.32/180.15 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 ->->-> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 180.32/180.15 180.32/180.15 The problem is decomposed in 2 subproblems. 180.32/180.15 180.32/180.15 Problem 1.1: 180.32/180.15 180.32/180.15 Reduction Pair Processor: 180.32/180.15 -> Pairs: 180.32/180.15 3#(5(2(2(4(5(x1:S)))))) -> 3#(2(4(3(0(x1:S))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 -> Usable rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Interpretation type: 180.32/180.15 Linear 180.32/180.15 ->Coefficients: 180.32/180.15 Natural Numbers 180.32/180.15 ->Dimension: 180.32/180.15 1 180.32/180.15 ->Bound: 180.32/180.15 2 180.32/180.15 ->Interpretation: 180.32/180.15 180.32/180.15 [0](X) = 2 180.32/180.15 [1](X) = X 180.32/180.15 [2](X) = 2.X + 1 180.32/180.15 [3](X) = 0 180.32/180.15 [4](X) = 0 180.32/180.15 [5](X) = 2 180.32/180.15 [3#](X) = X 180.32/180.15 180.32/180.15 Problem 1.1: 180.32/180.15 180.32/180.15 SCC Processor: 180.32/180.15 -> Pairs: 180.32/180.15 Empty 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Strongly Connected Components: 180.32/180.15 There is no strongly connected component 180.32/180.15 180.32/180.15 The problem is finite. 180.32/180.15 180.32/180.15 Problem 1.2: 180.32/180.15 180.32/180.15 Reduction Pair Processor: 180.32/180.15 -> Pairs: 180.32/180.15 4#(2(5(2(x1:S)))) -> 4#(0(x1:S)) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 -> Usable rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Interpretation type: 180.32/180.15 Linear 180.32/180.15 ->Coefficients: 180.32/180.15 Natural Numbers 180.32/180.15 ->Dimension: 180.32/180.15 1 180.32/180.15 ->Bound: 180.32/180.15 2 180.32/180.15 ->Interpretation: 180.32/180.15 180.32/180.15 [0](X) = 2 180.32/180.15 [1](X) = 0 180.32/180.15 [2](X) = 2.X 180.32/180.15 [3](X) = 0 180.32/180.15 [4](X) = 0 180.32/180.15 [5](X) = 2 180.32/180.15 [4#](X) = X 180.32/180.15 [5#](X) = 2 180.32/180.15 180.32/180.15 Problem 1.2: 180.32/180.15 180.32/180.15 SCC Processor: 180.32/180.15 -> Pairs: 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Strongly Connected Components: 180.32/180.15 ->->Cycle: 180.32/180.15 ->->-> Pairs: 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 ->->-> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 180.32/180.15 Problem 1.2: 180.32/180.15 180.32/180.15 Reduction Pair Processor: 180.32/180.15 -> Pairs: 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(0(0(x1:S))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 -> Usable rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Interpretation type: 180.32/180.15 Linear 180.32/180.15 ->Coefficients: 180.32/180.15 Natural Numbers 180.32/180.15 ->Dimension: 180.32/180.15 1 180.32/180.15 ->Bound: 180.32/180.15 2 180.32/180.15 ->Interpretation: 180.32/180.15 180.32/180.15 [0](X) = 2.X + 2 180.32/180.15 [1](X) = 2.X + 2 180.32/180.15 [2](X) = 2.X + 2 180.32/180.15 [3](X) = 2.X + 2 180.32/180.15 [4](X) = 2.X + 2 180.32/180.15 [5](X) = 2.X + 2 180.32/180.15 [4#](X) = X + 1 180.32/180.15 [5#](X) = 2.X + 2 180.32/180.15 180.32/180.15 Problem 1.2: 180.32/180.15 180.32/180.15 SCC Processor: 180.32/180.15 -> Pairs: 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Strongly Connected Components: 180.32/180.15 ->->Cycle: 180.32/180.15 ->->-> Pairs: 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 ->->-> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 180.32/180.15 Problem 1.2: 180.32/180.15 180.32/180.15 Reduction Pair Processor: 180.32/180.15 -> Pairs: 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(0(0(0(4(5(4(0(0(x1:S)))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 -> Usable rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Interpretation type: 180.32/180.15 Linear 180.32/180.15 ->Coefficients: 180.32/180.15 Natural Numbers 180.32/180.15 ->Dimension: 180.32/180.15 1 180.32/180.15 ->Bound: 180.32/180.15 2 180.32/180.15 ->Interpretation: 180.32/180.15 180.32/180.15 [0](X) = X + 2 180.32/180.15 [1](X) = X + 2 180.32/180.15 [2](X) = X + 2 180.32/180.15 [3](X) = X + 2 180.32/180.15 [4](X) = X + 2 180.32/180.15 [5](X) = X + 2 180.32/180.15 [4#](X) = 2.X + 2 180.32/180.15 [5#](X) = 2.X + 2 180.32/180.15 180.32/180.15 Problem 1.2: 180.32/180.15 180.32/180.15 SCC Processor: 180.32/180.15 -> Pairs: 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Strongly Connected Components: 180.32/180.15 ->->Cycle: 180.32/180.15 ->->-> Pairs: 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 ->->-> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 180.32/180.15 Problem 1.2: 180.32/180.15 180.32/180.15 Reduction Pair Processor: 180.32/180.15 -> Pairs: 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 -> Usable rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Interpretation type: 180.32/180.15 Linear 180.32/180.15 ->Coefficients: 180.32/180.15 Natural Numbers 180.32/180.15 ->Dimension: 180.32/180.15 1 180.32/180.15 ->Bound: 180.32/180.15 2 180.32/180.15 ->Interpretation: 180.32/180.15 180.32/180.15 [0](X) = X + 2 180.32/180.15 [1](X) = X + 1 180.32/180.15 [2](X) = X + 2 180.32/180.15 [3](X) = X + 2 180.32/180.15 [4](X) = X + 1 180.32/180.15 [5](X) = X + 1 180.32/180.15 [4#](X) = 2.X + 2 180.32/180.15 [5#](X) = 2.X + 2 180.32/180.15 180.32/180.15 Problem 1.2: 180.32/180.15 180.32/180.15 SCC Processor: 180.32/180.15 -> Pairs: 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Strongly Connected Components: 180.32/180.15 ->->Cycle: 180.32/180.15 ->->-> Pairs: 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 ->->-> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 180.32/180.15 Problem 1.2: 180.32/180.15 180.32/180.15 Reduction Pair Processor: 180.32/180.15 -> Pairs: 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4#(5(4(0(0(x1:S))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 -> Usable rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.15 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.15 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.15 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.15 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.15 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.15 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.15 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.15 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.15 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.15 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.15 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.15 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.15 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.15 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.15 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.15 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.15 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.15 ->Interpretation type: 180.32/180.15 Linear 180.32/180.15 ->Coefficients: 180.32/180.15 Natural Numbers 180.32/180.15 ->Dimension: 180.32/180.15 1 180.32/180.15 ->Bound: 180.32/180.15 2 180.32/180.15 ->Interpretation: 180.32/180.15 180.32/180.15 [0](X) = X + 2 180.32/180.15 [1](X) = X + 2 180.32/180.15 [2](X) = X + 2 180.32/180.15 [3](X) = X + 2 180.32/180.15 [4](X) = X + 2 180.32/180.15 [5](X) = X + 2 180.32/180.15 [4#](X) = 2.X + 2 180.32/180.15 [5#](X) = 2.X + 2 180.32/180.15 180.32/180.15 Problem 1.2: 180.32/180.15 180.32/180.15 SCC Processor: 180.32/180.15 -> Pairs: 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.15 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.15 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.15 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.15 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.15 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.15 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.15 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.15 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.15 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.15 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.15 -> Rules: 180.32/180.15 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.15 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.15 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.15 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.15 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Strongly Connected Components: 180.32/180.16 ->->Cycle: 180.32/180.16 ->->-> Pairs: 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 ->->-> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 Reduction Pair Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(0(0(0(4(5(4(0(0(x1:S))))))))) 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 -> Usable rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Interpretation type: 180.32/180.16 Linear 180.32/180.16 ->Coefficients: 180.32/180.16 Natural Numbers 180.32/180.16 ->Dimension: 180.32/180.16 1 180.32/180.16 ->Bound: 180.32/180.16 2 180.32/180.16 ->Interpretation: 180.32/180.16 180.32/180.16 [0](X) = X + 2 180.32/180.16 [1](X) = X + 2 180.32/180.16 [2](X) = X + 2 180.32/180.16 [3](X) = X + 2 180.32/180.16 [4](X) = X + 2 180.32/180.16 [5](X) = X + 2 180.32/180.16 [4#](X) = 2.X + 2 180.32/180.16 [5#](X) = 2.X 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 SCC Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Strongly Connected Components: 180.32/180.16 ->->Cycle: 180.32/180.16 ->->-> Pairs: 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 ->->-> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 Reduction Pair Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S)))))))))))))) 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 -> Usable rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Interpretation type: 180.32/180.16 Linear 180.32/180.16 ->Coefficients: 180.32/180.16 Natural Numbers 180.32/180.16 ->Dimension: 180.32/180.16 1 180.32/180.16 ->Bound: 180.32/180.16 2 180.32/180.16 ->Interpretation: 180.32/180.16 180.32/180.16 [0](X) = X 180.32/180.16 [1](X) = X 180.32/180.16 [2](X) = X + 2 180.32/180.16 [3](X) = X 180.32/180.16 [4](X) = X 180.32/180.16 [5](X) = X + 2 180.32/180.16 [4#](X) = 2.X + 2 180.32/180.16 [5#](X) = 2.X + 2 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 SCC Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Strongly Connected Components: 180.32/180.16 ->->Cycle: 180.32/180.16 ->->-> Pairs: 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 ->->-> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 Reduction Pair Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 5#(4(0(0(x1:S)))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 -> Usable rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Interpretation type: 180.32/180.16 Linear 180.32/180.16 ->Coefficients: 180.32/180.16 Natural Numbers 180.32/180.16 ->Dimension: 180.32/180.16 1 180.32/180.16 ->Bound: 180.32/180.16 2 180.32/180.16 ->Interpretation: 180.32/180.16 180.32/180.16 [0](X) = X + 2 180.32/180.16 [1](X) = X + 2 180.32/180.16 [2](X) = X + 2 180.32/180.16 [3](X) = X + 2 180.32/180.16 [4](X) = X + 2 180.32/180.16 [5](X) = X + 2 180.32/180.16 [4#](X) = 2.X + 2 180.32/180.16 [5#](X) = 2.X + 2 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 SCC Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Strongly Connected Components: 180.32/180.16 ->->Cycle: 180.32/180.16 ->->-> Pairs: 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 ->->-> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 Reduction Pair Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(4(2(4(x1:S)))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 -> Usable rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Interpretation type: 180.32/180.16 Linear 180.32/180.16 ->Coefficients: 180.32/180.16 Natural Numbers 180.32/180.16 ->Dimension: 180.32/180.16 1 180.32/180.16 ->Bound: 180.32/180.16 2 180.32/180.16 ->Interpretation: 180.32/180.16 180.32/180.16 [0](X) = 2 180.32/180.16 [1](X) = 1 180.32/180.16 [2](X) = 2 180.32/180.16 [3](X) = 1 180.32/180.16 [4](X) = 1 180.32/180.16 [5](X) = 2 180.32/180.16 [4#](X) = X 180.32/180.16 [5#](X) = 2 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 SCC Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Strongly Connected Components: 180.32/180.16 ->->Cycle: 180.32/180.16 ->->-> Pairs: 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 ->->-> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 Reduction Pair Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(3(4(x1:S)))) -> 4#(2(4(x1:S))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 -> Usable rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Interpretation type: 180.32/180.16 Linear 180.32/180.16 ->Coefficients: 180.32/180.16 Natural Numbers 180.32/180.16 ->Dimension: 180.32/180.16 1 180.32/180.16 ->Bound: 180.32/180.16 2 180.32/180.16 ->Interpretation: 180.32/180.16 180.32/180.16 [0](X) = X + 2 180.32/180.16 [1](X) = X + 2 180.32/180.16 [2](X) = X + 2 180.32/180.16 [3](X) = X + 2 180.32/180.16 [4](X) = X + 2 180.32/180.16 [5](X) = X + 2 180.32/180.16 [4#](X) = 2.X 180.32/180.16 [5#](X) = 2.X + 2 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 SCC Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Strongly Connected Components: 180.32/180.16 ->->Cycle: 180.32/180.16 ->->-> Pairs: 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 ->->-> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 Reduction Pair Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(1(x1:S)) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 -> Usable rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Interpretation type: 180.32/180.16 Linear 180.32/180.16 ->Coefficients: 180.32/180.16 Natural Numbers 180.32/180.16 ->Dimension: 180.32/180.16 1 180.32/180.16 ->Bound: 180.32/180.16 2 180.32/180.16 ->Interpretation: 180.32/180.16 180.32/180.16 [0](X) = X + 2 180.32/180.16 [1](X) = X + 2 180.32/180.16 [2](X) = X + 2 180.32/180.16 [3](X) = X + 2 180.32/180.16 [4](X) = X + 2 180.32/180.16 [5](X) = X + 2 180.32/180.16 [4#](X) = 2.X 180.32/180.16 [5#](X) = 2.X + 2 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 SCC Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Strongly Connected Components: 180.32/180.16 ->->Cycle: 180.32/180.16 ->->-> Pairs: 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 ->->-> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 Reduction Pair Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 4#(3(3(5(4(1(x1:S)))))) 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 -> Usable rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Interpretation type: 180.32/180.16 Linear 180.32/180.16 ->Coefficients: 180.32/180.16 Natural Numbers 180.32/180.16 ->Dimension: 180.32/180.16 1 180.32/180.16 ->Bound: 180.32/180.16 2 180.32/180.16 ->Interpretation: 180.32/180.16 180.32/180.16 [0](X) = 2 180.32/180.16 [1](X) = 0 180.32/180.16 [2](X) = 2.X 180.32/180.16 [3](X) = 0 180.32/180.16 [4](X) = 0 180.32/180.16 [5](X) = 2 180.32/180.16 [4#](X) = X 180.32/180.16 [5#](X) = 2 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 SCC Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Strongly Connected Components: 180.32/180.16 ->->Cycle: 180.32/180.16 ->->-> Pairs: 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 ->->-> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 Reduction Pair Processor: 180.32/180.16 -> Pairs: 180.32/180.16 4#(5(4(3(0(5(1(x1:S))))))) -> 5#(4(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 -> Usable rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Interpretation type: 180.32/180.16 Linear 180.32/180.16 ->Coefficients: 180.32/180.16 Natural Numbers 180.32/180.16 ->Dimension: 180.32/180.16 1 180.32/180.16 ->Bound: 180.32/180.16 2 180.32/180.16 ->Interpretation: 180.32/180.16 180.32/180.16 [0](X) = X 180.32/180.16 [1](X) = X 180.32/180.16 [2](X) = 2.X + 2 180.32/180.16 [3](X) = X 180.32/180.16 [4](X) = X 180.32/180.16 [5](X) = 2.X + 2 180.32/180.16 [4#](X) = 2.X + 2 180.32/180.16 [5#](X) = 2.X + 2 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 SCC Processor: 180.32/180.16 -> Pairs: 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(2(4(5(1(x1:S))))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 4#(5(1(x1:S))) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(0(3(x1:S))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 4#(5(0(1(4(0(3(x1:S))))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(1(x1:S)) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 4#(3(2(1(0(3(3(5(0(4(1(x1:S))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(3(3(1(x1:S)))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(4(5(1(4(3(3(1(x1:S))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(4(5(1(4(3(3(1(x1:S)))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 4#(5(1(4(3(3(1(x1:S))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 4#(1(4(5(4(x1:S))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Strongly Connected Components: 180.32/180.16 ->->Cycle: 180.32/180.16 ->->-> Pairs: 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 ->->-> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 Reduction Pair Processor: 180.32/180.16 -> Pairs: 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(1(x1:S)) 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 -> Usable rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.16 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.16 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.16 ->Interpretation type: 180.32/180.16 Linear 180.32/180.16 ->Coefficients: 180.32/180.16 Natural Numbers 180.32/180.16 ->Dimension: 180.32/180.16 1 180.32/180.16 ->Bound: 180.32/180.16 2 180.32/180.16 ->Interpretation: 180.32/180.16 180.32/180.16 [0](X) = X + 2 180.32/180.16 [1](X) = X + 2 180.32/180.16 [2](X) = X + 2 180.32/180.16 [3](X) = X + 2 180.32/180.16 [4](X) = X + 2 180.32/180.16 [5](X) = X + 2 180.32/180.16 [5#](X) = X 180.32/180.16 180.32/180.16 Problem 1.2: 180.32/180.16 180.32/180.16 SCC Processor: 180.32/180.16 -> Pairs: 180.32/180.16 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.16 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.16 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.16 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.16 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.16 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.16 -> Rules: 180.32/180.16 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.16 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.16 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.16 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.16 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.16 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.16 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.16 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.16 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.16 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.16 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.16 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.16 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.16 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.16 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.16 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.16 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.16 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.16 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.16 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.16 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.16 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 ->->Cycle: 180.32/180.17 ->->-> Pairs: 180.32/180.17 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.17 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.17 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 ->->-> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 Reduction Pair Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(2(1(0(1(5(x1:S)))))) -> 5#(4(2(4(5(1(x1:S)))))) 180.32/180.17 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.17 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 -> Usable rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Interpretation type: 180.32/180.17 Linear 180.32/180.17 ->Coefficients: 180.32/180.17 Natural Numbers 180.32/180.17 ->Dimension: 180.32/180.17 1 180.32/180.17 ->Bound: 180.32/180.17 2 180.32/180.17 ->Interpretation: 180.32/180.17 180.32/180.17 [0](X) = X 180.32/180.17 [1](X) = X 180.32/180.17 [2](X) = 2.X + 2 180.32/180.17 [3](X) = 0 180.32/180.17 [4](X) = 2 180.32/180.17 [5](X) = 2 180.32/180.17 [5#](X) = 2.X 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 SCC Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.17 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 ->->Cycle: 180.32/180.17 ->->-> Pairs: 180.32/180.17 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.17 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 ->->-> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 Reduction Pair Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(0(1(4(0(3(x1:S)))))) 180.32/180.17 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 -> Usable rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Interpretation type: 180.32/180.17 Linear 180.32/180.17 ->Coefficients: 180.32/180.17 Natural Numbers 180.32/180.17 ->Dimension: 180.32/180.17 1 180.32/180.17 ->Bound: 180.32/180.17 2 180.32/180.17 ->Interpretation: 180.32/180.17 180.32/180.17 [0](X) = X + 2 180.32/180.17 [1](X) = X 180.32/180.17 [2](X) = 2.X + 2 180.32/180.17 [3](X) = X 180.32/180.17 [4](X) = X 180.32/180.17 [5](X) = 2.X + 2 180.32/180.17 [5#](X) = X 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 SCC Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 ->->Cycle: 180.32/180.17 ->->-> Pairs: 180.32/180.17 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 ->->-> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 Reduction Pair Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5#(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 -> Usable rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Interpretation type: 180.32/180.17 Linear 180.32/180.17 ->Coefficients: 180.32/180.17 Natural Numbers 180.32/180.17 ->Dimension: 180.32/180.17 1 180.32/180.17 ->Bound: 180.32/180.17 2 180.32/180.17 ->Interpretation: 180.32/180.17 180.32/180.17 [0](X) = 2 180.32/180.17 [1](X) = 1 180.32/180.17 [2](X) = 2 180.32/180.17 [3](X) = 1 180.32/180.17 [4](X) = 2 180.32/180.17 [5](X) = 2 180.32/180.17 [5#](X) = 2.X 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 SCC Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 ->->Cycle: 180.32/180.17 ->->-> Pairs: 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 ->->-> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 Reduction Pair Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(4(1(x1:S)))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 -> Usable rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Interpretation type: 180.32/180.17 Linear 180.32/180.17 ->Coefficients: 180.32/180.17 Natural Numbers 180.32/180.17 ->Dimension: 180.32/180.17 1 180.32/180.17 ->Bound: 180.32/180.17 2 180.32/180.17 ->Interpretation: 180.32/180.17 180.32/180.17 [0](X) = X 180.32/180.17 [1](X) = X 180.32/180.17 [2](X) = X + 2 180.32/180.17 [3](X) = X 180.32/180.17 [4](X) = X 180.32/180.17 [5](X) = X + 2 180.32/180.17 [5#](X) = 2.X 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 SCC Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 ->->Cycle: 180.32/180.17 ->->-> Pairs: 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 ->->-> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 Reduction Pair Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 -> Usable rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Interpretation type: 180.32/180.17 Linear 180.32/180.17 ->Coefficients: 180.32/180.17 Natural Numbers 180.32/180.17 ->Dimension: 180.32/180.17 1 180.32/180.17 ->Bound: 180.32/180.17 2 180.32/180.17 ->Interpretation: 180.32/180.17 180.32/180.17 [0](X) = X 180.32/180.17 [1](X) = X 180.32/180.17 [2](X) = X + 2 180.32/180.17 [3](X) = X 180.32/180.17 [4](X) = X 180.32/180.17 [5](X) = X + 2 180.32/180.17 [5#](X) = 2.X 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 SCC Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 ->->Cycle: 180.32/180.17 ->->-> Pairs: 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 ->->-> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 Reduction Pair Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5#(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))) 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 -> Usable rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Interpretation type: 180.32/180.17 Linear 180.32/180.17 ->Coefficients: 180.32/180.17 Natural Numbers 180.32/180.17 ->Dimension: 180.32/180.17 1 180.32/180.17 ->Bound: 180.32/180.17 2 180.32/180.17 ->Interpretation: 180.32/180.17 180.32/180.17 [0](X) = X + 2 180.32/180.17 [1](X) = X + 2 180.32/180.17 [2](X) = X + 2 180.32/180.17 [3](X) = X + 2 180.32/180.17 [4](X) = X + 2 180.32/180.17 [5](X) = X + 2 180.32/180.17 [5#](X) = 2.X 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 SCC Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 ->->Cycle: 180.32/180.17 ->->-> Pairs: 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 ->->-> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 Reduction Pair Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(0(2(2(4(0(4(x1:S)))))))) -> 5#(1(3(0(4(x1:S))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 -> Usable rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Interpretation type: 180.32/180.17 Linear 180.32/180.17 ->Coefficients: 180.32/180.17 Natural Numbers 180.32/180.17 ->Dimension: 180.32/180.17 1 180.32/180.17 ->Bound: 180.32/180.17 2 180.32/180.17 ->Interpretation: 180.32/180.17 180.32/180.17 [0](X) = 2 180.32/180.17 [1](X) = X 180.32/180.17 [2](X) = 2 180.32/180.17 [3](X) = 1 180.32/180.17 [4](X) = X 180.32/180.17 [5](X) = 2 180.32/180.17 [5#](X) = 2.X 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 SCC Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 ->->Cycle: 180.32/180.17 ->->-> Pairs: 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 ->->-> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 Reduction Pair Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 -> Usable rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Interpretation type: 180.32/180.17 Linear 180.32/180.17 ->Coefficients: 180.32/180.17 Natural Numbers 180.32/180.17 ->Dimension: 180.32/180.17 1 180.32/180.17 ->Bound: 180.32/180.17 2 180.32/180.17 ->Interpretation: 180.32/180.17 180.32/180.17 [0](X) = X + 2 180.32/180.17 [1](X) = X + 2 180.32/180.17 [2](X) = X + 2 180.32/180.17 [3](X) = X + 2 180.32/180.17 [4](X) = X + 2 180.32/180.17 [5](X) = X + 2 180.32/180.17 [5#](X) = 2.X 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 SCC Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 ->->Cycle: 180.32/180.17 ->->-> Pairs: 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 ->->-> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 Reduction Pair Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(1(4(3(3(1(x1:S)))))) 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 -> Usable rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Interpretation type: 180.32/180.17 Linear 180.32/180.17 ->Coefficients: 180.32/180.17 Natural Numbers 180.32/180.17 ->Dimension: 180.32/180.17 1 180.32/180.17 ->Bound: 180.32/180.17 2 180.32/180.17 ->Interpretation: 180.32/180.17 180.32/180.17 [0](X) = 2.X + 2 180.32/180.17 [1](X) = 2.X + 2 180.32/180.17 [2](X) = 2.X + 2 180.32/180.17 [3](X) = 2.X + 2 180.32/180.17 [4](X) = 2.X + 2 180.32/180.17 [5](X) = 2.X + 2 180.32/180.17 [5#](X) = X 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 SCC Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 ->->Cycle: 180.32/180.17 ->->-> Pairs: 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 ->->-> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 Reduction Pair Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 5#(3(4(4(4(5(1(4(3(3(1(x1:S))))))))))) 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 -> Usable rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Interpretation type: 180.32/180.17 Linear 180.32/180.17 ->Coefficients: 180.32/180.17 Natural Numbers 180.32/180.17 ->Dimension: 180.32/180.17 1 180.32/180.17 ->Bound: 180.32/180.17 2 180.32/180.17 ->Interpretation: 180.32/180.17 180.32/180.17 [0](X) = X 180.32/180.17 [1](X) = X 180.32/180.17 [2](X) = 2.X + 2 180.32/180.17 [3](X) = 0 180.32/180.17 [4](X) = 2 180.32/180.17 [5](X) = 2 180.32/180.17 [5#](X) = 2.X 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 SCC Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 ->->Cycle: 180.32/180.17 ->->-> Pairs: 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 ->->-> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 Reduction Pair Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5#(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 -> Usable rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Interpretation type: 180.32/180.17 Linear 180.32/180.17 ->Coefficients: 180.32/180.17 Natural Numbers 180.32/180.17 ->Dimension: 180.32/180.17 1 180.32/180.17 ->Bound: 180.32/180.17 2 180.32/180.17 ->Interpretation: 180.32/180.17 180.32/180.17 [0](X) = X 180.32/180.17 [1](X) = X 180.32/180.17 [2](X) = 2.X + 1 180.32/180.17 [3](X) = 0 180.32/180.17 [4](X) = 2 180.32/180.17 [5](X) = 1 180.32/180.17 [5#](X) = 2.X 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 SCC Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 ->->Cycle: 180.32/180.17 ->->-> Pairs: 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 ->->-> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 Reduction Pair Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(0(4(1(4(5(4(x1:S))))))) 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 -> Usable rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Interpretation type: 180.32/180.17 Linear 180.32/180.17 ->Coefficients: 180.32/180.17 Natural Numbers 180.32/180.17 ->Dimension: 180.32/180.17 1 180.32/180.17 ->Bound: 180.32/180.17 2 180.32/180.17 ->Interpretation: 180.32/180.17 180.32/180.17 [0](X) = X + 1 180.32/180.17 [1](X) = X 180.32/180.17 [2](X) = X + 2 180.32/180.17 [3](X) = X 180.32/180.17 [4](X) = X 180.32/180.17 [5](X) = X + 2 180.32/180.17 [5#](X) = 2.X 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 SCC Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 ->->Cycle: 180.32/180.17 ->->-> Pairs: 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 ->->-> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 Reduction Pair Processor: 180.32/180.17 -> Pairs: 180.32/180.17 5#(4(4(5(0(1(4(5(4(x1:S))))))))) -> 5#(5(0(4(1(4(5(4(x1:S)))))))) 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 -> Usable rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Interpretation type: 180.32/180.17 Linear 180.32/180.17 ->Coefficients: 180.32/180.17 Natural Numbers 180.32/180.17 ->Dimension: 180.32/180.17 1 180.32/180.17 ->Bound: 180.32/180.17 2 180.32/180.17 ->Interpretation: 180.32/180.17 180.32/180.17 [0](X) = X 180.32/180.17 [1](X) = X 180.32/180.17 [2](X) = 2.X + 1 180.32/180.17 [3](X) = 0 180.32/180.17 [4](X) = 2 180.32/180.17 [5](X) = 1 180.32/180.17 [5#](X) = 2.X 180.32/180.17 180.32/180.17 Problem 1.2: 180.32/180.17 180.32/180.17 SCC Processor: 180.32/180.17 -> Pairs: 180.32/180.17 Empty 180.32/180.17 -> Rules: 180.32/180.17 0(0(1(2(x1:S)))) -> 2(3(0(x1:S))) 180.32/180.17 0(2(3(5(4(2(2(1(0(3(3(5(0(x1:S))))))))))))) -> 3(3(1(2(3(0(4(0(0(0(2(0(x1:S)))))))))))) 180.32/180.17 1(3(5(4(1(2(2(x1:S))))))) -> 3(3(3(4(4(0(x1:S)))))) 180.32/180.17 1(3(5(5(2(x1:S))))) -> 1(3(2(3(x1:S)))) 180.32/180.17 2(0(3(0(2(2(2(0(1(4(2(1(0(4(4(3(3(1(4(4(x1:S)))))))))))))))))))) -> 5(2(4(1(1(4(5(1(0(1(2(0(3(0(1(2(3(4(3(1(x1:S)))))))))))))))))))) 180.32/180.17 2(1(0(2(1(4(0(0(2(0(0(0(5(2(x1:S)))))))))))))) -> 2(2(4(2(1(4(3(0(5(1(3(3(0(x1:S))))))))))))) 180.32/180.17 2(1(5(2(1(3(4(4(x1:S)))))))) -> 4(0(3(4(0(1(2(x1:S))))))) 180.32/180.17 2(2(5(3(2(2(x1:S)))))) -> 5(1(1(0(3(x1:S))))) 180.32/180.17 2(4(1(2(5(2(4(1(3(2(0(3(x1:S)))))))))))) -> 4(3(0(4(2(3(4(3(4(2(0(x1:S))))))))))) 180.32/180.17 2(5(1(2(1(1(x1:S)))))) -> 5(2(1(2(4(1(x1:S)))))) 180.32/180.17 3(4(1(4(2(4(x1:S)))))) -> 1(3(3(3(x1:S)))) 180.32/180.17 3(4(2(1(1(2(2(5(4(x1:S))))))))) -> 3(3(3(1(3(3(4(x1:S))))))) 180.32/180.17 3(5(2(2(4(5(x1:S)))))) -> 3(2(4(3(0(x1:S))))) 180.32/180.17 4(2(5(2(x1:S)))) -> 1(4(0(x1:S))) 180.32/180.17 4(5(0(3(1(3(2(2(5(2(2(4(1(3(2(x1:S))))))))))))))) -> 4(5(3(2(1(4(5(0(0(0(4(5(4(0(0(x1:S))))))))))))))) 180.32/180.17 4(5(3(4(x1:S)))) -> 4(4(2(4(x1:S)))) 180.32/180.17 4(5(4(3(0(5(1(x1:S))))))) -> 4(3(3(5(4(1(x1:S)))))) 180.32/180.17 5(2(1(0(1(5(x1:S)))))) -> 5(4(2(4(5(1(x1:S)))))) 180.32/180.17 5(2(1(3(1(5(2(5(4(4(x1:S)))))))))) -> 5(3(4(5(0(1(4(0(3(x1:S))))))))) 180.32/180.17 5(2(2(1(2(x1:S))))) -> 0(0(2(3(x1:S)))) 180.32/180.17 5(2(2(5(2(4(4(1(2(0(1(1(0(1(1(x1:S))))))))))))))) -> 5(0(5(4(3(2(1(0(3(3(5(0(4(1(x1:S)))))))))))))) 180.32/180.17 5(4(0(2(2(4(0(4(x1:S)))))))) -> 3(1(5(1(3(0(4(x1:S))))))) 180.32/180.17 5(4(1(5(1(5(4(4(2(2(0(4(3(1(5(4(4(3(1(x1:S))))))))))))))))))) -> 3(0(4(5(1(1(3(5(3(4(4(4(5(1(4(3(3(1(x1:S)))))))))))))))))) 180.32/180.17 5(4(2(0(3(3(0(0(4(0(3(2(0(5(1(x1:S))))))))))))))) -> 5(0(1(0(0(2(1(1(0(3(2(2(1(3(x1:S)))))))))))))) 180.32/180.17 5(4(4(5(0(1(4(5(4(x1:S))))))))) -> 1(5(5(0(4(1(4(5(4(x1:S))))))))) 180.32/180.17 ->Strongly Connected Components: 180.32/180.17 There is no strongly connected component 180.32/180.17 180.32/180.17 The problem is finite. 180.40/180.19 EOF