0.00/0.32 NO 0.00/0.32 0.00/0.32 0.00/0.32 The system was reversed. 0.00/0.32 0.00/0.32 Remains to prove termination of the 2-rule system 0.00/0.32 { 0 0 0 0 -> 1 1 1 0 , 0.00/0.32 1 0 1 1 -> 0 1 1 0 } 0.00/0.32 0.00/0.32 0.00/0.32 Loop of length 20 starting with a string of length 13 using right expansion 0.00/0.32 and the encoding {0=a, 1=b}: 0.00/0.32 0.00/0.32 .aaaa.bbaabbbba 0.00/0.32 rule aaaa -> bbba at position 0 0.00/0.32 .bbba.bbaabbbba 0.00/0.32 rule babb -> abba at position 2 0.00/0.32 .bbabba.aabbbba 0.00/0.32 rule babb -> abba at position 1 0.00/0.32 .babbaa.aabbbba 0.00/0.32 rule babb -> abba at position 0 0.00/0.32 .abbaaa.aabbbba 0.00/0.32 rule aaaa -> bbba at position 4 0.00/0.32 .abbabbba.bbbba 0.00/0.32 rule babb -> abba at position 2 0.00/0.32 .ababbaba.bbbba 0.00/0.32 rule babb -> abba at position 1 0.00/0.32 .aabbaaba.bbbba 0.00/0.32 rule babb -> abba at position 6 0.00/0.32 .aabbaaabba.bba 0.00/0.32 rule babb -> abba at position 8 0.00/0.32 .aabbaaababba.a 0.00/0.32 rule babb -> abba at position 7 0.00/0.32 .aabbaaaabbaa.a 0.00/0.32 rule aaaa -> bbba at position 4 0.00/0.32 .aabbbbbabbaa.a 0.00/0.32 rule babb -> abba at position 6 0.00/0.32 .aabbbbabbaaa.a 0.00/0.32 rule babb -> abba at position 5 0.00/0.32 .aabbbabbaaaa.a 0.00/0.32 rule babb -> abba at position 4 0.00/0.32 .aabbabbaaaaa.a 0.00/0.32 rule babb -> abba at position 3 0.00/0.32 .aababbaaaaaa.a 0.00/0.32 rule babb -> abba at position 2 0.00/0.32 .aaabbaaaaaaa.a 0.00/0.32 rule aaaa -> bbba at position 6 0.00/0.32 .aaabbabbbaaa.a 0.00/0.32 rule babb -> abba at position 4 0.00/0.32 .aaababbabaaa.a 0.00/0.32 rule babb -> abba at position 3 0.00/0.32 .aaaabbaabaaa.a 0.00/0.32 rule aaaa -> bbba at position 9 0.00/0.32 .aaaabbaabbbba. 0.00/0.36 EOF