0.00/0.55 NO 0.00/0.56 0.00/0.56 0.00/0.56 The system was reversed. 0.00/0.56 0.00/0.56 Remains to prove termination of the 2-rule system 0.00/0.56 { a a a -> b a , 0.00/0.56 c b -> a a a c c } 0.00/0.56 0.00/0.56 0.00/0.56 Loop of length 16 starting with a string of length 5 using right expansion 0.00/0.56 and the encoding {a=a, b=b, c=c}: 0.00/0.56 0.00/0.56 .cb.bbb 0.00/0.56 rule cb -> aaacc at position 0 0.00/0.56 .aaacc.bbb 0.00/0.56 rule cb -> aaacc at position 4 0.00/0.56 .aaacaaacc.bb 0.00/0.56 rule aaa -> ba at position 4 0.00/0.56 .aaacbacc.bb 0.00/0.56 rule cb -> aaacc at position 7 0.00/0.56 .aaacbacaaacc.b 0.00/0.56 rule aaa -> ba at position 7 0.00/0.56 .aaacbacbacc.b 0.00/0.56 rule cb -> aaacc at position 6 0.00/0.56 .aaacbaaaaccacc.b 0.00/0.56 rule aaa -> ba at position 5 0.00/0.56 .aaacbbaaccacc.b 0.00/0.56 rule cb -> aaacc at position 12 0.00/0.56 .aaacbbaaccacaaacc. 0.00/0.56 rule aaa -> ba at position 12 0.00/0.56 .aaacbbaaccacbacc. 0.00/0.56 rule cb -> aaacc at position 11 0.00/0.56 .aaacbbaaccaaaaccacc. 0.00/0.56 rule aaa -> ba at position 10 0.00/0.56 .aaacbbaaccbaaccacc. 0.00/0.56 rule cb -> aaacc at position 9 0.00/0.56 .aaacbbaacaaaccaaccacc. 0.00/0.56 rule aaa -> ba at position 9 0.00/0.56 .aaacbbaacbaccaaccacc. 0.00/0.56 rule cb -> aaacc at position 8 0.00/0.56 .aaacbbaaaaaccaccaaccacc. 0.00/0.56 rule aaa -> ba at position 6 0.00/0.56 .aaacbbbaaaccaccaaccacc. 0.00/0.56 rule aaa -> ba at position 7 0.00/0.56 .aaacbbbbaccaccaaccacc. 1.51/0.59 EOF