MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. evalfstart(A,B,C,D) -> evalfentryin(A,B,C,D) True (1,1) 1. evalfentryin(A,B,C,D) -> evalfbb6in(0,B,C,D) True (?,1) 2. evalfbb6in(A,B,C,D) -> evalfbbin(A,B,C,D) [B >= 1 + A] (?,1) 3. evalfbb6in(A,B,C,D) -> evalfreturnin(A,B,C,D) [A >= B] (?,1) 4. evalfbbin(A,B,C,D) -> evalfbb2in(A,B,0,1 + A) True (?,1) 5. evalfbb2in(A,B,C,D) -> evalfbb4in(A,B,C,D) [D >= B] (?,1) 6. evalfbb2in(A,B,C,D) -> evalfbb3in(A,B,C,D) [B >= 1 + D] (?,1) 7. evalfbb3in(A,B,C,D) -> evalfbb1in(A,B,C,D) [0 >= 1 + E] (?,1) 8. evalfbb3in(A,B,C,D) -> evalfbb1in(A,B,C,D) [E >= 1] (?,1) 9. evalfbb3in(A,B,C,D) -> evalfbb4in(A,B,C,D) True (?,1) 10. evalfbb1in(A,B,C,D) -> evalfbb2in(A,B,1 + C,1 + D) True (?,1) 11. evalfbb4in(A,B,C,D) -> evalfbb6in(-1 + D,B,C,D) [C >= 1] (?,1) 12. evalfbb4in(A,B,C,D) -> evalfbb6in(D,B,C,D) [0 >= C] (?,1) 13. evalfreturnin(A,B,C,D) -> evalfstop(A,B,C,D) True (?,1) Signature: {(evalfbb1in,4) ;(evalfbb2in,4) ;(evalfbb3in,4) ;(evalfbb4in,4) ;(evalfbb6in,4) ;(evalfbbin,4) ;(evalfentryin,4) ;(evalfreturnin,4) ;(evalfstart,4) ;(evalfstop,4)} Flow Graph: [0->{1},1->{2,3},2->{4},3->{13},4->{5,6},5->{11,12},6->{7,8,9},7->{10},8->{10},9->{11,12},10->{5,6},11->{2 ,3},12->{2,3},13->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: AddSinks MAYBE + Considered Problem: Rules: 0. evalfstart(A,B,C,D) -> evalfentryin(A,B,C,D) True (1,1) 1. evalfentryin(A,B,C,D) -> evalfbb6in(0,B,C,D) True (1,1) 2. evalfbb6in(A,B,C,D) -> evalfbbin(A,B,C,D) [B >= 1 + A] (?,1) 3. evalfbb6in(A,B,C,D) -> evalfreturnin(A,B,C,D) [A >= B] (1,1) 4. evalfbbin(A,B,C,D) -> evalfbb2in(A,B,0,1 + A) True (?,1) 5. evalfbb2in(A,B,C,D) -> evalfbb4in(A,B,C,D) [D >= B] (?,1) 6. evalfbb2in(A,B,C,D) -> evalfbb3in(A,B,C,D) [B >= 1 + D] (?,1) 7. evalfbb3in(A,B,C,D) -> evalfbb1in(A,B,C,D) [0 >= 1 + E] (?,1) 8. evalfbb3in(A,B,C,D) -> evalfbb1in(A,B,C,D) [E >= 1] (?,1) 9. evalfbb3in(A,B,C,D) -> evalfbb4in(A,B,C,D) True (?,1) 10. evalfbb1in(A,B,C,D) -> evalfbb2in(A,B,1 + C,1 + D) True (?,1) 11. evalfbb4in(A,B,C,D) -> evalfbb6in(-1 + D,B,C,D) [C >= 1] (?,1) 12. evalfbb4in(A,B,C,D) -> evalfbb6in(D,B,C,D) [0 >= C] (?,1) 13. evalfreturnin(A,B,C,D) -> evalfstop(A,B,C,D) True (1,1) Signature: {(evalfbb1in,4) ;(evalfbb2in,4) ;(evalfbb3in,4) ;(evalfbb4in,4) ;(evalfbb6in,4) ;(evalfbbin,4) ;(evalfentryin,4) ;(evalfreturnin,4) ;(evalfstart,4) ;(evalfstop,4)} Flow Graph: [0->{1},1->{2,3},2->{4},3->{13},4->{5,6},5->{11,12},6->{7,8,9},7->{10},8->{10},9->{11,12},10->{5,6},11->{2 ,3},12->{2,3},13->{}] + Applied Processor: AddSinks + Details: () * Step 3: Failure MAYBE + Considered Problem: Rules: 0. evalfstart(A,B,C,D) -> evalfentryin(A,B,C,D) True (1,1) 1. evalfentryin(A,B,C,D) -> evalfbb6in(0,B,C,D) True (?,1) 2. evalfbb6in(A,B,C,D) -> evalfbbin(A,B,C,D) [B >= 1 + A] (?,1) 3. evalfbb6in(A,B,C,D) -> evalfreturnin(A,B,C,D) [A >= B] (?,1) 4. evalfbbin(A,B,C,D) -> evalfbb2in(A,B,0,1 + A) True (?,1) 5. evalfbb2in(A,B,C,D) -> evalfbb4in(A,B,C,D) [D >= B] (?,1) 6. evalfbb2in(A,B,C,D) -> evalfbb3in(A,B,C,D) [B >= 1 + D] (?,1) 7. evalfbb3in(A,B,C,D) -> evalfbb1in(A,B,C,D) [0 >= 1 + E] (?,1) 8. evalfbb3in(A,B,C,D) -> evalfbb1in(A,B,C,D) [E >= 1] (?,1) 9. evalfbb3in(A,B,C,D) -> evalfbb4in(A,B,C,D) True (?,1) 10. evalfbb1in(A,B,C,D) -> evalfbb2in(A,B,1 + C,1 + D) True (?,1) 11. evalfbb4in(A,B,C,D) -> evalfbb6in(-1 + D,B,C,D) [C >= 1] (?,1) 12. evalfbb4in(A,B,C,D) -> evalfbb6in(D,B,C,D) [0 >= C] (?,1) 13. evalfreturnin(A,B,C,D) -> evalfstop(A,B,C,D) True (?,1) 14. evalfreturnin(A,B,C,D) -> exitus616(A,B,C,D) True (?,1) Signature: {(evalfbb1in,4) ;(evalfbb2in,4) ;(evalfbb3in,4) ;(evalfbb4in,4) ;(evalfbb6in,4) ;(evalfbbin,4) ;(evalfentryin,4) ;(evalfreturnin,4) ;(evalfstart,4) ;(evalfstop,4) ;(exitus616,4)} Flow Graph: [0->{1},1->{2,3},2->{4},3->{13,14},4->{5,6},5->{11,12},6->{7,8,9},7->{10},8->{10},9->{11,12},10->{5,6} ,11->{2,3},12->{2,3},13->{},14->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14] | `- p:[2,11,5,4,10,7,6,8,9,12] c: [] MAYBE