2.48/0.87 NO 2.48/0.87 2.48/0.87 2.48/0.87 The system was reversed. 2.48/0.87 2.48/0.87 Remains to prove termination of the 1-rule system 2.48/0.87 { a a b a b a b -> a b a b a b a b a a a a a a } 2.48/0.87 2.48/0.87 2.48/0.87 Loop of length 44 starting with a string of length 25 using right expansion 2.48/0.87 and the encoding {a=a, b=b}: 2.48/0.87 2.48/0.87 .aababab.ababababababababab 2.48/0.87 rule aababab -> ababababaaaaaa at position 0 2.48/0.87 .ababababaaaaaa.ababababababababab 2.48/0.87 rule aababab -> ababababaaaaaa at position 13 2.48/0.87 .ababababaaaaaababababaaaaaa.abababababab 2.48/0.87 rule aababab -> ababababaaaaaa at position 26 2.48/0.87 .ababababaaaaaababababaaaaaababababaaaaaa.ababab 2.48/0.87 rule aababab -> ababababaaaaaa at position 25 2.48/0.87 .ababababaaaaaababababaaaaababababaaaaaaabaaaaaa.ababab 2.48/0.87 rule aababab -> ababababaaaaaa at position 24 2.48/0.87 .ababababaaaaaababababaaaababababaaaaaaabaaaaaaabaaaaaa.ababab 2.48/0.87 rule aababab -> ababababaaaaaa at position 23 2.48/0.87 .ababababaaaaaababababaaababababaaaaaaabaaaaaaabaaaaaaabaaaaaa.ababab 2.48/0.87 rule aababab -> ababababaaaaaa at position 22 2.48/0.87 .ababababaaaaaababababaababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa.ababab 2.48/0.87 rule aababab -> ababababaaaaaa at position 21 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa.ababab 2.48/0.87 rule aababab -> ababababaaaaaa at position 74 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaababababaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 73 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaababababaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 72 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaababababaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 71 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaababababaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 70 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 69 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 66 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaababababaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 65 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaababababaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 64 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaababababaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 63 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaababababaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 62 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 61 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 58 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaababababaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 57 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaaababababaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 56 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaaababababaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 55 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaaababababaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 54 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabaababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 53 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaaabababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 50 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaaababababaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 49 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaaababababaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 48 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaaababababaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 47 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaaababababaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 46 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabaababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 45 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaaabababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 42 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaaababababaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 41 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaaababababaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 40 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaaababababaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 39 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaaababababaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 38 2.48/0.87 .ababababaaaaaababababababababaaaaaaabaababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 37 2.48/0.87 .ababababaaaaaababababababababaaaaaaabababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 34 2.48/0.87 .ababababaaaaaababababababababaaaaaababababaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 33 2.48/0.87 .ababababaaaaaababababababababaaaaababababaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 32 2.48/0.87 .ababababaaaaaababababababababaaaababababaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 31 2.48/0.87 .ababababaaaaaababababababababaaababababaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 30 2.48/0.87 .ababababaaaaaababababababababaababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.87 rule aababab -> ababababaaaaaa at position 29 2.48/0.87 .ababababaaaaaababababababababababababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaababaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaaabaaaaaa. 2.48/0.90 EOF