MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(-1 + A,1,D,D,F,F,Q,P,0,1,Q,P,7,N,O) [A >= 1 && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 2. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,0,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 3. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (?,1) 4. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,3,Q,0,0,3,Q,2,N,O) [7 >= Q && 3 >= Q && Q >= 1] (?,1) 5. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,3,Q,0,0,3,Q,2,N,O) [7 >= Q && Q >= 5] (?,1) 6. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,1 + D,1 + D,1 + F,1 + F,3,4,1,0,3,4,2,N,O) True (?,1) 7. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 8. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 9. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (?,1) 10. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,D,D,F,F,Q,P,I,0,Q,P,3,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 11. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,D,D,F,F,Q,P,I,0,Q,P,3,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 12. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,3,N,O) [7 >= Q && Q >= 1] (?,1) 13. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,D,D,F,F,Q,P,I,1,Q,P,6,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 14. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,D,D,F,F,Q,P,I,1,Q,P,6,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 15. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,6,N,O) [7 >= Q && Q >= 1] (?,1) 16. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f4(A,1,D,D,F,F,Q,2,0,1,Q,2,4,N,O) [Q >= 1 && 7 >= Q] (?,1) 17. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f4(A,Q,D,D,F,F,P,7,1,Q,P,7,4,N,O) [7 >= P && 1 >= Q && Q >= 0 && P >= 1 && I = 1] (?,1) 18. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,Q,P,1,0,Q,P,2,N,O) [N >= 1 && N >= 1 + F && O >= 1 && O >= 1 + D && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1 && I = 1] (?,1) 19. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,Q,P,1,0,Q,P,2,N,O) [N >= 1 && N >= 1 + F && O >= 1 && O >= 1 + D && 7 >= P && 7 >= Q && P >= 5 && Q >= 1 && I = 1] (?,1) 20. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,2,N,O) [N >= 2 + F && O >= 2 + D && N >= 1 && O >= 1 && 7 >= Q && Q >= 1] (?,1) 21. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,D,D,F,F,Q,P,I,0,Q,P,7,N,O) [F >= N && D >= O && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 22. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,D,D,F,F,Q,P,I,0,Q,P,7,N,O) [F >= N && D >= O && 7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 23. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,7,N,O) [1 + F >= N && 1 + D >= O && 7 >= Q && Q >= 1] (?,1) 24. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 25. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 26. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (?,1) Signature: {(f0,15);(f1,15);(f2,15);(f3,15);(f4,15);(f6,15);(f7,15)} Flow Graph: [0->{1,2,3,4,5,6},1->{},2->{},3->{},4->{7,8,9,10,11,12},5->{7,8,9,10,11,12},6->{7,8,9,10,11,12},7->{} ,8->{},9->{},10->{13,14,15},11->{13,14,15},12->{13,14,15},13->{16,17},14->{16,17},15->{16,17},16->{18,19,20 ,21,22,23,24,25,26},17->{18,19,20,21,22,23,24,25,26},18->{7,8,9,10,11,12},19->{7,8,9,10,11,12},20->{7,8,9,10 ,11,12},21->{},22->{},23->{},24->{},25->{},26->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(-1 + A,1,D,D,F,F,Q,P,0,1,Q,P,7,N,O) [A >= 1 && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (1,1) 2. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,0,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (1,1) 3. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (1,1) 4. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,3,Q,0,0,3,Q,2,N,O) [7 >= Q && 3 >= Q && Q >= 1] (1,1) 5. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,3,Q,0,0,3,Q,2,N,O) [7 >= Q && Q >= 5] (1,1) 6. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,1 + D,1 + D,1 + F,1 + F,3,4,1,0,3,4,2,N,O) True (1,1) 7. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (1,1) 8. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (1,1) 9. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (1,1) 10. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,D,D,F,F,Q,P,I,0,Q,P,3,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 11. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,D,D,F,F,Q,P,I,0,Q,P,3,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 12. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,3,N,O) [7 >= Q && Q >= 1] (?,1) 13. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,D,D,F,F,Q,P,I,1,Q,P,6,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 14. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,D,D,F,F,Q,P,I,1,Q,P,6,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 15. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,6,N,O) [7 >= Q && Q >= 1] (?,1) 16. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f4(A,1,D,D,F,F,Q,2,0,1,Q,2,4,N,O) [Q >= 1 && 7 >= Q] (?,1) 17. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f4(A,Q,D,D,F,F,P,7,1,Q,P,7,4,N,O) [7 >= P && 1 >= Q && Q >= 0 && P >= 1 && I = 1] (?,1) 18. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,Q,P,1,0,Q,P,2,N,O) [N >= 1 && N >= 1 + F && O >= 1 && O >= 1 + D && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1 && I = 1] (?,1) 19. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,Q,P,1,0,Q,P,2,N,O) [N >= 1 && N >= 1 + F && O >= 1 && O >= 1 + D && 7 >= P && 7 >= Q && P >= 5 && Q >= 1 && I = 1] (?,1) 20. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,2,N,O) [N >= 2 + F && O >= 2 + D && N >= 1 && O >= 1 && 7 >= Q && Q >= 1] (?,1) 21. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,D,D,F,F,Q,P,I,0,Q,P,7,N,O) [F >= N && D >= O && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (1,1) 22. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,D,D,F,F,Q,P,I,0,Q,P,7,N,O) [F >= N && D >= O && 7 >= P && 7 >= Q && P >= 5 && Q >= 1] (1,1) 23. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,7,N,O) [1 + F >= N && 1 + D >= O && 7 >= Q && Q >= 1] (1,1) 24. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (1,1) 25. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (1,1) 26. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (1,1) Signature: {(f0,15);(f1,15);(f2,15);(f3,15);(f4,15);(f6,15);(f7,15)} Flow Graph: [0->{1,2,3,4,5,6},1->{},2->{},3->{},4->{7,8,9,10,11,12},5->{7,8,9,10,11,12},6->{7,8,9,10,11,12},7->{} ,8->{},9->{},10->{13,14,15},11->{13,14,15},12->{13,14,15},13->{16,17},14->{16,17},15->{16,17},16->{18,19,20 ,21,22,23,24,25,26},17->{18,19,20,21,22,23,24,25,26},18->{7,8,9,10,11,12},19->{7,8,9,10,11,12},20->{7,8,9,10 ,11,12},21->{},22->{},23->{},24->{},25->{},26->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(16,18),(16,19)] * Step 3: AddSinks MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(-1 + A,1,D,D,F,F,Q,P,0,1,Q,P,7,N,O) [A >= 1 && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (1,1) 2. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,0,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (1,1) 3. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (1,1) 4. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,3,Q,0,0,3,Q,2,N,O) [7 >= Q && 3 >= Q && Q >= 1] (1,1) 5. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,3,Q,0,0,3,Q,2,N,O) [7 >= Q && Q >= 5] (1,1) 6. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,1 + D,1 + D,1 + F,1 + F,3,4,1,0,3,4,2,N,O) True (1,1) 7. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (1,1) 8. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (1,1) 9. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (1,1) 10. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,D,D,F,F,Q,P,I,0,Q,P,3,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 11. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,D,D,F,F,Q,P,I,0,Q,P,3,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 12. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,3,N,O) [7 >= Q && Q >= 1] (?,1) 13. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,D,D,F,F,Q,P,I,1,Q,P,6,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 14. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,D,D,F,F,Q,P,I,1,Q,P,6,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 15. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,6,N,O) [7 >= Q && Q >= 1] (?,1) 16. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f4(A,1,D,D,F,F,Q,2,0,1,Q,2,4,N,O) [Q >= 1 && 7 >= Q] (?,1) 17. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f4(A,Q,D,D,F,F,P,7,1,Q,P,7,4,N,O) [7 >= P && 1 >= Q && Q >= 0 && P >= 1 && I = 1] (?,1) 18. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,Q,P,1,0,Q,P,2,N,O) [N >= 1 && N >= 1 + F && O >= 1 && O >= 1 + D && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1 && I = 1] (?,1) 19. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,Q,P,1,0,Q,P,2,N,O) [N >= 1 && N >= 1 + F && O >= 1 && O >= 1 + D && 7 >= P && 7 >= Q && P >= 5 && Q >= 1 && I = 1] (?,1) 20. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,2,N,O) [N >= 2 + F && O >= 2 + D && N >= 1 && O >= 1 && 7 >= Q && Q >= 1] (?,1) 21. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,D,D,F,F,Q,P,I,0,Q,P,7,N,O) [F >= N && D >= O && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (1,1) 22. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,D,D,F,F,Q,P,I,0,Q,P,7,N,O) [F >= N && D >= O && 7 >= P && 7 >= Q && P >= 5 && Q >= 1] (1,1) 23. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,7,N,O) [1 + F >= N && 1 + D >= O && 7 >= Q && Q >= 1] (1,1) 24. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (1,1) 25. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (1,1) 26. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (1,1) Signature: {(f0,15);(f1,15);(f2,15);(f3,15);(f4,15);(f6,15);(f7,15)} Flow Graph: [0->{1,2,3,4,5,6},1->{},2->{},3->{},4->{7,8,9,10,11,12},5->{7,8,9,10,11,12},6->{7,8,9,10,11,12},7->{} ,8->{},9->{},10->{13,14,15},11->{13,14,15},12->{13,14,15},13->{16,17},14->{16,17},15->{16,17},16->{20,21,22 ,23,24,25,26},17->{18,19,20,21,22,23,24,25,26},18->{7,8,9,10,11,12},19->{7,8,9,10,11,12},20->{7,8,9,10,11 ,12},21->{},22->{},23->{},24->{},25->{},26->{}] + Applied Processor: AddSinks + Details: () * Step 4: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(-1 + A,1,D,D,F,F,Q,P,0,1,Q,P,7,N,O) [A >= 1 && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 2. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,0,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 3. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (?,1) 4. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,3,Q,0,0,3,Q,2,N,O) [7 >= Q && 3 >= Q && Q >= 1] (?,1) 5. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,3,Q,0,0,3,Q,2,N,O) [7 >= Q && Q >= 5] (?,1) 6. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,1 + D,1 + D,1 + F,1 + F,3,4,1,0,3,4,2,N,O) True (?,1) 7. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 8. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 9. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (?,1) 10. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,D,D,F,F,Q,P,I,0,Q,P,3,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 11. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,D,D,F,F,Q,P,I,0,Q,P,3,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 12. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,3,N,O) [7 >= Q && Q >= 1] (?,1) 13. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,D,D,F,F,Q,P,I,1,Q,P,6,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 14. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,D,D,F,F,Q,P,I,1,Q,P,6,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 15. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,6,N,O) [7 >= Q && Q >= 1] (?,1) 16. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f4(A,1,D,D,F,F,Q,2,0,1,Q,2,4,N,O) [Q >= 1 && 7 >= Q] (?,1) 17. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f4(A,Q,D,D,F,F,P,7,1,Q,P,7,4,N,O) [7 >= P && 1 >= Q && Q >= 0 && P >= 1 && I = 1] (?,1) 18. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,Q,P,1,0,Q,P,2,N,O) [N >= 1 && N >= 1 + F && O >= 1 && O >= 1 + D && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1 && I = 1] (?,1) 19. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,Q,P,1,0,Q,P,2,N,O) [N >= 1 && N >= 1 + F && O >= 1 && O >= 1 + D && 7 >= P && 7 >= Q && P >= 5 && Q >= 1 && I = 1] (?,1) 20. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,2,N,O) [N >= 2 + F && O >= 2 + D && N >= 1 && O >= 1 && 7 >= Q && Q >= 1] (?,1) 21. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,D,D,F,F,Q,P,I,0,Q,P,7,N,O) [F >= N && D >= O && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 22. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,D,D,F,F,Q,P,I,0,Q,P,7,N,O) [F >= N && D >= O && 7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 23. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,7,N,O) [1 + F >= N && 1 + D >= O && 7 >= Q && Q >= 1] (?,1) 24. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 25. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 26. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (?,1) 27. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) True (?,1) 28. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) True (?,1) 29. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) True (?,1) Signature: {(exitus616,15);(f0,15);(f1,15);(f2,15);(f3,15);(f4,15);(f6,15);(f7,15)} Flow Graph: [0->{1,2,3,4,5,6,29},1->{},2->{},3->{},4->{7,8,9,10,11,12,28},5->{7,8,9,10,11,12,28},6->{7,8,9,10,11,12 ,28},7->{},8->{},9->{},10->{13,14,15},11->{13,14,15},12->{13,14,15},13->{16,17},14->{16,17},15->{16,17} ,16->{18,19,20,21,22,23,24,25,26,27},17->{18,19,20,21,22,23,24,25,26,27},18->{7,8,9,10,11,12,28},19->{7,8,9 ,10,11,12,28},20->{7,8,9,10,11,12,28},21->{},22->{},23->{},24->{},25->{},26->{},27->{},28->{},29->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(16,18),(16,19)] * Step 5: Failure MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(-1 + A,1,D,D,F,F,Q,P,0,1,Q,P,7,N,O) [A >= 1 && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 2. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,0,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 3. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (?,1) 4. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,3,Q,0,0,3,Q,2,N,O) [7 >= Q && 3 >= Q && Q >= 1] (?,1) 5. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,3,Q,0,0,3,Q,2,N,O) [7 >= Q && Q >= 5] (?,1) 6. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,1 + D,1 + D,1 + F,1 + F,3,4,1,0,3,4,2,N,O) True (?,1) 7. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 8. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 9. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (?,1) 10. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,D,D,F,F,Q,P,I,0,Q,P,3,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 11. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,D,D,F,F,Q,P,I,0,Q,P,3,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 12. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f3(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,3,N,O) [7 >= Q && Q >= 1] (?,1) 13. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,D,D,F,F,Q,P,I,1,Q,P,6,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 14. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,D,D,F,F,Q,P,I,1,Q,P,6,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 15. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f6(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,6,N,O) [7 >= Q && Q >= 1] (?,1) 16. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f4(A,1,D,D,F,F,Q,2,0,1,Q,2,4,N,O) [Q >= 1 && 7 >= Q] (?,1) 17. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f4(A,Q,D,D,F,F,P,7,1,Q,P,7,4,N,O) [7 >= P && 1 >= Q && Q >= 0 && P >= 1 && I = 1] (?,1) 18. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,Q,P,1,0,Q,P,2,N,O) [N >= 1 && N >= 1 + F && O >= 1 && O >= 1 + D && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1 && I = 1] (?,1) 19. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,D,D,F,F,Q,P,1,0,Q,P,2,N,O) [N >= 1 && N >= 1 + F && O >= 1 && O >= 1 + D && 7 >= P && 7 >= Q && P >= 5 && Q >= 1 && I = 1] (?,1) 20. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f2(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,2,N,O) [N >= 2 + F && O >= 2 + D && N >= 1 && O >= 1 && 7 >= Q && Q >= 1] (?,1) 21. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,D,D,F,F,Q,P,I,0,Q,P,7,N,O) [F >= N && D >= O && 7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 22. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,D,D,F,F,Q,P,I,0,Q,P,7,N,O) [F >= N && D >= O && 7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 23. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,0,1 + D,1 + D,1 + F,1 + F,Q,4,1,0,Q,4,7,N,O) [1 + F >= N && 1 + D >= O && 7 >= Q && Q >= 1] (?,1) 24. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && 3 >= P && P >= 1 && Q >= 1] (?,1) 25. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,D,D,F,F,Q,P,I,1,Q,P,7,N,O) [7 >= P && 7 >= Q && P >= 5 && Q >= 1] (?,1) 26. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> f7(A,1,1 + D,1 + D,1 + F,1 + F,Q,4,1,1,Q,4,7,N,O) [7 >= Q && Q >= 1] (?,1) 27. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) True (?,1) 28. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) True (?,1) 29. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O) True (?,1) Signature: {(exitus616,15);(f0,15);(f1,15);(f2,15);(f3,15);(f4,15);(f6,15);(f7,15)} Flow Graph: [0->{1,2,3,4,5,6,29},1->{},2->{},3->{},4->{7,8,9,10,11,12,28},5->{7,8,9,10,11,12,28},6->{7,8,9,10,11,12 ,28},7->{},8->{},9->{},10->{13,14,15},11->{13,14,15},12->{13,14,15},13->{16,17},14->{16,17},15->{16,17} ,16->{20,21,22,23,24,25,26,27},17->{18,19,20,21,22,23,24,25,26,27},18->{7,8,9,10,11,12,28},19->{7,8,9,10,11 ,12,28},20->{7,8,9,10,11,12,28},21->{},22->{},23->{},24->{},25->{},26->{},27->{},28->{},29->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29] | `- p:[10,18,17,13,11,19,20,16,14,12,15] c: [20] | `- p:[10,18,17,13,11,19,12,14,15] c: [] MAYBE