YES(?,O(1)) * Step 1: TrivialSCCs WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(1,1,10,M,N,0,G,H,I,J,K,L) True (1,1) 1. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(A,B,C,D,E,1 + F,G,H,I,J,K,L) [C >= 1 + F] (?,1) 2. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,0,I,J,K,L) [C >= 1 + F] (?,1) 3. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [0 >= 1 + G && C >= 1 + H] (?,1) 4. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [G >= 1 && C >= 1 + H] (?,1) 5. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [C >= 1 + H && G = 0] (?,1) 6. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [M >= 1 + N && C >= 1 + H && G = 0] (?,1) 7. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [C >= 1 + H && G = 0] (?,1) 8. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [0 >= 1 + G] (?,1) 9. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [G >= 1] (?,1) 10. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,0,H,I,0,K,L) [G = 0] (?,1) 11. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + B && C >= 2 + F] (?,1) 12. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [B >= 1 && C >= 2 + F] (?,1) 13. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,1,C,D,E,1 + F,G,H,I,J,1,L) [M >= 1 + N] (?,1) 14. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) True (?,1) 15. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) [C >= 2 + F && B = 0] (?,1) 16. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [0 >= 1 + B] (?,1) 17. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [B >= 1] (?,1) 18. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,0,C,D,E,F,G,H,I,J,K,1) [B = 0] (?,1) 19. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && 1 + F >= C] (?,1) 20. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && 1 + F >= C] (?,1) 21. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(0,B,C,D,E,F,G,H,I,J,K,1) [1 + F >= C && A = 0] (?,1) 22. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && H >= C] (?,1) 23. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && H >= C] (?,1) 24. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,G,H,I,0,K,L) [H >= C && A = 0] (?,1) 25. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (?,1) 26. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (?,1) Signature: {(f0,12);(f23,12);(f29,12);(f33,12);(f44,12);(f52,12);(f55,12);(f63,12);(f71,12)} Flow Graph: [0->{1,26},1->{1,26},2->{3,4,5,6,7,22,23,24},3->{3,4,5,6,7,22,23,24},4->{3,4,5,6,7,22,23,24},5->{3,4,5,6,7 ,22,23,24},6->{3,4,5,6,7,22,23,24},7->{3,4,5,6,7,22,23,24},8->{2,25},9->{2,25},10->{2,25},11->{13,14} ,12->{13,14},13->{11,12,15,19,20,21},14->{11,12,15,19,20,21},15->{11,12,15,19,20,21},16->{},17->{},18->{} ,19->{16,17,18},20->{16,17,18},21->{},22->{8,9,10},23->{8,9,10},24->{2,25},25->{11,12,15,19,20,21},26->{2 ,25}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(1,1,10,M,N,0,G,H,I,J,K,L) True (1,1) 1. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(A,B,C,D,E,1 + F,G,H,I,J,K,L) [C >= 1 + F] (?,1) 2. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,0,I,J,K,L) [C >= 1 + F] (?,1) 3. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [0 >= 1 + G && C >= 1 + H] (?,1) 4. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [G >= 1 && C >= 1 + H] (?,1) 5. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [C >= 1 + H && G = 0] (?,1) 6. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [M >= 1 + N && C >= 1 + H && G = 0] (?,1) 7. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [C >= 1 + H && G = 0] (?,1) 8. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [0 >= 1 + G] (?,1) 9. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [G >= 1] (?,1) 10. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,0,H,I,0,K,L) [G = 0] (?,1) 11. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + B && C >= 2 + F] (?,1) 12. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [B >= 1 && C >= 2 + F] (?,1) 13. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,1,C,D,E,1 + F,G,H,I,J,1,L) [M >= 1 + N] (?,1) 14. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) True (?,1) 15. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) [C >= 2 + F && B = 0] (?,1) 16. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [0 >= 1 + B] (1,1) 17. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [B >= 1] (1,1) 18. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,0,C,D,E,F,G,H,I,J,K,1) [B = 0] (1,1) 19. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && 1 + F >= C] (1,1) 20. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && 1 + F >= C] (1,1) 21. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(0,B,C,D,E,F,G,H,I,J,K,1) [1 + F >= C && A = 0] (1,1) 22. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && H >= C] (?,1) 23. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && H >= C] (?,1) 24. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,G,H,I,0,K,L) [H >= C && A = 0] (?,1) 25. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (1,1) 26. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (1,1) Signature: {(f0,12);(f23,12);(f29,12);(f33,12);(f44,12);(f52,12);(f55,12);(f63,12);(f71,12)} Flow Graph: [0->{1,26},1->{1,26},2->{3,4,5,6,7,22,23,24},3->{3,4,5,6,7,22,23,24},4->{3,4,5,6,7,22,23,24},5->{3,4,5,6,7 ,22,23,24},6->{3,4,5,6,7,22,23,24},7->{3,4,5,6,7,22,23,24},8->{2,25},9->{2,25},10->{2,25},11->{13,14} ,12->{13,14},13->{11,12,15,19,20,21},14->{11,12,15,19,20,21},15->{11,12,15,19,20,21},16->{},17->{},18->{} ,19->{16,17,18},20->{16,17,18},21->{},22->{8,9,10},23->{8,9,10},24->{2,25},25->{11,12,15,19,20,21},26->{2 ,25}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,26) ,(2,3) ,(2,4) ,(3,3) ,(3,5) ,(3,6) ,(3,7) ,(4,3) ,(4,5) ,(4,6) ,(4,7) ,(5,3) ,(5,5) ,(5,6) ,(5,7) ,(6,3) ,(6,4) ,(7,3) ,(7,4) ,(13,11) ,(13,15) ,(14,11) ,(14,12) ,(15,11) ,(15,12)] * Step 3: UnreachableRules WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(1,1,10,M,N,0,G,H,I,J,K,L) True (1,1) 1. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(A,B,C,D,E,1 + F,G,H,I,J,K,L) [C >= 1 + F] (?,1) 2. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,0,I,J,K,L) [C >= 1 + F] (?,1) 3. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [0 >= 1 + G && C >= 1 + H] (?,1) 4. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [G >= 1 && C >= 1 + H] (?,1) 5. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [C >= 1 + H && G = 0] (?,1) 6. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [M >= 1 + N && C >= 1 + H && G = 0] (?,1) 7. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [C >= 1 + H && G = 0] (?,1) 8. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [0 >= 1 + G] (?,1) 9. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [G >= 1] (?,1) 10. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,0,H,I,0,K,L) [G = 0] (?,1) 11. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + B && C >= 2 + F] (?,1) 12. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [B >= 1 && C >= 2 + F] (?,1) 13. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,1,C,D,E,1 + F,G,H,I,J,1,L) [M >= 1 + N] (?,1) 14. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) True (?,1) 15. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) [C >= 2 + F && B = 0] (?,1) 16. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [0 >= 1 + B] (1,1) 17. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [B >= 1] (1,1) 18. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,0,C,D,E,F,G,H,I,J,K,1) [B = 0] (1,1) 19. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && 1 + F >= C] (1,1) 20. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && 1 + F >= C] (1,1) 21. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(0,B,C,D,E,F,G,H,I,J,K,1) [1 + F >= C && A = 0] (1,1) 22. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && H >= C] (?,1) 23. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && H >= C] (?,1) 24. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,G,H,I,0,K,L) [H >= C && A = 0] (?,1) 25. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (1,1) 26. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (1,1) Signature: {(f0,12);(f23,12);(f29,12);(f33,12);(f44,12);(f52,12);(f55,12);(f63,12);(f71,12)} Flow Graph: [0->{1},1->{1,26},2->{5,6,7,22,23,24},3->{4,22,23,24},4->{4,22,23,24},5->{4,22,23,24},6->{5,6,7,22,23,24} ,7->{5,6,7,22,23,24},8->{2,25},9->{2,25},10->{2,25},11->{13,14},12->{13,14},13->{12,19,20,21},14->{15,19,20 ,21},15->{15,19,20,21},16->{},17->{},18->{},19->{16,17,18},20->{16,17,18},21->{},22->{8,9,10},23->{8,9,10} ,24->{2,25},25->{11,12,15,19,20,21},26->{2,25}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [3] * Step 4: AddSinks WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(1,1,10,M,N,0,G,H,I,J,K,L) True (1,1) 1. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(A,B,C,D,E,1 + F,G,H,I,J,K,L) [C >= 1 + F] (?,1) 2. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,0,I,J,K,L) [C >= 1 + F] (?,1) 4. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [G >= 1 && C >= 1 + H] (?,1) 5. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [C >= 1 + H && G = 0] (?,1) 6. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [M >= 1 + N && C >= 1 + H && G = 0] (?,1) 7. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [C >= 1 + H && G = 0] (?,1) 8. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [0 >= 1 + G] (?,1) 9. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [G >= 1] (?,1) 10. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,0,H,I,0,K,L) [G = 0] (?,1) 11. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + B && C >= 2 + F] (?,1) 12. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [B >= 1 && C >= 2 + F] (?,1) 13. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,1,C,D,E,1 + F,G,H,I,J,1,L) [M >= 1 + N] (?,1) 14. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) True (?,1) 15. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) [C >= 2 + F && B = 0] (?,1) 16. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [0 >= 1 + B] (1,1) 17. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [B >= 1] (1,1) 18. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,0,C,D,E,F,G,H,I,J,K,1) [B = 0] (1,1) 19. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && 1 + F >= C] (1,1) 20. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && 1 + F >= C] (1,1) 21. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(0,B,C,D,E,F,G,H,I,J,K,1) [1 + F >= C && A = 0] (1,1) 22. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && H >= C] (?,1) 23. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && H >= C] (?,1) 24. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,G,H,I,0,K,L) [H >= C && A = 0] (?,1) 25. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (1,1) 26. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (1,1) Signature: {(f0,12);(f23,12);(f29,12);(f33,12);(f44,12);(f52,12);(f55,12);(f63,12);(f71,12)} Flow Graph: [0->{1},1->{1,26},2->{5,6,7,22,23,24},4->{4,22,23,24},5->{4,22,23,24},6->{5,6,7,22,23,24},7->{5,6,7,22,23 ,24},8->{2,25},9->{2,25},10->{2,25},11->{13,14},12->{13,14},13->{12,19,20,21},14->{15,19,20,21},15->{15,19 ,20,21},16->{},17->{},18->{},19->{16,17,18},20->{16,17,18},21->{},22->{8,9,10},23->{8,9,10},24->{2,25} ,25->{11,12,15,19,20,21},26->{2,25}] + Applied Processor: AddSinks + Details: () * Step 5: UnsatPaths WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(1,1,10,M,N,0,G,H,I,J,K,L) True (1,1) 1. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(A,B,C,D,E,1 + F,G,H,I,J,K,L) [C >= 1 + F] (?,1) 2. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,0,I,J,K,L) [C >= 1 + F] (?,1) 4. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [G >= 1 && C >= 1 + H] (?,1) 5. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [C >= 1 + H && G = 0] (?,1) 6. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [M >= 1 + N && C >= 1 + H && G = 0] (?,1) 7. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [C >= 1 + H && G = 0] (?,1) 8. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [0 >= 1 + G] (?,1) 9. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [G >= 1] (?,1) 10. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,0,H,I,0,K,L) [G = 0] (?,1) 11. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + B && C >= 2 + F] (?,1) 12. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [B >= 1 && C >= 2 + F] (?,1) 13. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,1,C,D,E,1 + F,G,H,I,J,1,L) [M >= 1 + N] (?,1) 14. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) True (?,1) 15. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) [C >= 2 + F && B = 0] (?,1) 16. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [0 >= 1 + B] (?,1) 17. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [B >= 1] (?,1) 18. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,0,C,D,E,F,G,H,I,J,K,1) [B = 0] (?,1) 19. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && 1 + F >= C] (?,1) 20. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && 1 + F >= C] (?,1) 21. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(0,B,C,D,E,F,G,H,I,J,K,1) [1 + F >= C && A = 0] (?,1) 22. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && H >= C] (?,1) 23. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && H >= C] (?,1) 24. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,G,H,I,0,K,L) [H >= C && A = 0] (?,1) 25. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (?,1) 26. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (?,1) 27. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L) True (?,1) 28. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L) True (?,1) Signature: {(exitus616,12);(f0,12);(f23,12);(f29,12);(f33,12);(f44,12);(f52,12);(f55,12);(f63,12);(f71,12)} Flow Graph: [0->{1,26},1->{1,26},2->{4,5,6,7,22,23,24},4->{4,5,6,7,22,23,24},5->{4,5,6,7,22,23,24},6->{4,5,6,7,22,23 ,24},7->{4,5,6,7,22,23,24},8->{2,25},9->{2,25},10->{2,25},11->{13,14},12->{13,14},13->{11,12,15,19,20,21,27} ,14->{11,12,15,19,20,21,27},15->{11,12,15,19,20,21,27},16->{},17->{},18->{},19->{16,17,18,28},20->{16,17,18 ,28},21->{},22->{8,9,10},23->{8,9,10},24->{2,25},25->{11,12,15,19,20,21,27},26->{2,25},27->{},28->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,26) ,(2,4) ,(4,5) ,(4,6) ,(4,7) ,(5,5) ,(5,6) ,(5,7) ,(6,4) ,(7,4) ,(13,11) ,(13,15) ,(14,11) ,(14,12) ,(15,11) ,(15,12)] * Step 6: LooptreeTransformer WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(1,1,10,M,N,0,G,H,I,J,K,L) True (1,1) 1. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(A,B,C,D,E,1 + F,G,H,I,J,K,L) [C >= 1 + F] (?,1) 2. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,0,I,J,K,L) [C >= 1 + F] (?,1) 4. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [G >= 1 && C >= 1 + H] (?,1) 5. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [C >= 1 + H && G = 0] (?,1) 6. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [M >= 1 + N && C >= 1 + H && G = 0] (?,1) 7. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [C >= 1 + H && G = 0] (?,1) 8. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [0 >= 1 + G] (?,1) 9. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [G >= 1] (?,1) 10. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,0,H,I,0,K,L) [G = 0] (?,1) 11. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + B && C >= 2 + F] (?,1) 12. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [B >= 1 && C >= 2 + F] (?,1) 13. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,1,C,D,E,1 + F,G,H,I,J,1,L) [M >= 1 + N] (?,1) 14. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) True (?,1) 15. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) [C >= 2 + F && B = 0] (?,1) 16. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [0 >= 1 + B] (?,1) 17. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [B >= 1] (?,1) 18. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,0,C,D,E,F,G,H,I,J,K,1) [B = 0] (?,1) 19. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && 1 + F >= C] (?,1) 20. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && 1 + F >= C] (?,1) 21. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(0,B,C,D,E,F,G,H,I,J,K,1) [1 + F >= C && A = 0] (?,1) 22. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && H >= C] (?,1) 23. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && H >= C] (?,1) 24. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,G,H,I,0,K,L) [H >= C && A = 0] (?,1) 25. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (?,1) 26. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (?,1) 27. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L) True (?,1) 28. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L) True (?,1) Signature: {(exitus616,12);(f0,12);(f23,12);(f29,12);(f33,12);(f44,12);(f52,12);(f55,12);(f63,12);(f71,12)} Flow Graph: [0->{1},1->{1,26},2->{5,6,7,22,23,24},4->{4,22,23,24},5->{4,22,23,24},6->{5,6,7,22,23,24},7->{5,6,7,22,23 ,24},8->{2,25},9->{2,25},10->{2,25},11->{13,14},12->{13,14},13->{12,19,20,21,27},14->{15,19,20,21,27} ,15->{15,19,20,21,27},16->{},17->{},18->{},19->{16,17,18,28},20->{16,17,18,28},21->{},22->{8,9,10},23->{8,9 ,10},24->{2,25},25->{11,12,15,19,20,21,27},26->{2,25},27->{},28->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28] | +- p:[1] c: [1] | +- p:[2,8,22,4,5,6,7,23,9,10,24] c: [2] | | | +- p:[6,7] c: [7] | | | | | `- p:[6] c: [6] | | | `- p:[4] c: [4] | +- p:[13,12] c: [12] | `- p:[15] c: [15] * Step 7: SizeAbstraction WORST_CASE(?,O(1)) + Considered Problem: (Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(1,1,10,M,N,0,G,H,I,J,K,L) True (1,1) 1. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f23(A,B,C,D,E,1 + F,G,H,I,J,K,L) [C >= 1 + F] (?,1) 2. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,0,I,J,K,L) [C >= 1 + F] (?,1) 4. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [G >= 1 && C >= 1 + H] (?,1) 5. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,1,1 + H,1,J,K,L) [C >= 1 + H && G = 0] (?,1) 6. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [M >= 1 + N && C >= 1 + H && G = 0] (?,1) 7. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f33(A,B,C,D,E,F,0,1 + H,0,J,K,L) [C >= 1 + H && G = 0] (?,1) 8. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [0 >= 1 + G] (?,1) 9. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(1,B,C,D,E,1 + F,G,H,I,1,K,L) [G >= 1] (?,1) 10. f44(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,0,H,I,0,K,L) [G = 0] (?,1) 11. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + B && C >= 2 + F] (?,1) 12. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f55(A,B,C,D,E,F,G,H,I,J,K,L) [B >= 1 && C >= 2 + F] (?,1) 13. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,1,C,D,E,1 + F,G,H,I,J,1,L) [M >= 1 + N] (?,1) 14. f55(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) True (?,1) 15. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,0,C,D,E,1 + F,G,H,I,J,0,L) [C >= 2 + F && B = 0] (?,1) 16. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [0 >= 1 + B] (?,1) 17. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,B,C,D,E,F,G,H,I,J,K,0) [B >= 1] (?,1) 18. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(A,0,C,D,E,F,G,H,I,J,K,1) [B = 0] (?,1) 19. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && 1 + F >= C] (?,1) 20. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f63(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && 1 + F >= C] (?,1) 21. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> f71(0,B,C,D,E,F,G,H,I,J,K,1) [1 + F >= C && A = 0] (?,1) 22. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [0 >= 1 + A && H >= C] (?,1) 23. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f44(A,B,C,D,E,F,G,H,I,J,K,L) [A >= 1 && H >= C] (?,1) 24. f33(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(0,B,C,D,E,1 + F,G,H,I,0,K,L) [H >= C && A = 0] (?,1) 25. f29(A,B,C,D,E,F,G,H,I,J,K,L) -> f52(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (?,1) 26. f23(A,B,C,D,E,F,G,H,I,J,K,L) -> f29(A,B,C,D,E,0,G,H,I,J,K,L) [F >= C] (?,1) 27. f52(A,B,C,D,E,F,G,H,I,J,K,L) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L) True (?,1) 28. f63(A,B,C,D,E,F,G,H,I,J,K,L) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L) True (?,1) Signature: {(exitus616,12);(f0,12);(f23,12);(f29,12);(f33,12);(f44,12);(f52,12);(f55,12);(f63,12);(f71,12)} Flow Graph: [0->{1},1->{1,26},2->{5,6,7,22,23,24},4->{4,22,23,24},5->{4,22,23,24},6->{5,6,7,22,23,24},7->{5,6,7,22,23 ,24},8->{2,25},9->{2,25},10->{2,25},11->{13,14},12->{13,14},13->{12,19,20,21,27},14->{15,19,20,21,27} ,15->{15,19,20,21,27},16->{},17->{},18->{},19->{16,17,18,28},20->{16,17,18,28},21->{},22->{8,9,10},23->{8,9 ,10},24->{2,25},25->{11,12,15,19,20,21,27},26->{2,25},27->{},28->{}] ,We construct a looptree: P: [0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28] | +- p:[1] c: [1] | +- p:[2,8,22,4,5,6,7,23,9,10,24] c: [2] | | | +- p:[6,7] c: [7] | | | | | `- p:[6] c: [6] | | | `- p:[4] c: [4] | +- p:[13,12] c: [12] | `- p:[15] c: [15]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 8: FlowAbstraction WORST_CASE(?,O(1)) + Considered Problem: Program: Domain: [A,B,C,D,E,F,G,H,I,J,K,L,0.0,0.1,0.1.0,0.1.0.0,0.1.1,0.2,0.3] f0 ~> f23 [A <= K, B <= K, C <= 10*K, D <= unknown, E <= unknown, F <= 0*K, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f23 ~> f23 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= C + F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f29 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= 0*K, H <= 0*K, I <= I, J <= J, K <= K, L <= L] f33 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= K, H <= C + H, I <= K, J <= J, K <= K, L <= L] f33 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= K, H <= C + H, I <= K, J <= J, K <= K, L <= L] f33 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= 0*K, H <= C + H, I <= 0*K, J <= J, K <= K, L <= L] f33 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= 0*K, H <= C + H, I <= 0*K, J <= J, K <= K, L <= L] f44 ~> f29 [A <= K, B <= B, C <= C, D <= D, E <= E, F <= K + F, G <= G, H <= H, I <= I, J <= K, K <= K, L <= L] f44 ~> f29 [A <= K, B <= B, C <= C, D <= D, E <= E, F <= K + F, G <= G, H <= H, I <= I, J <= K, K <= K, L <= L] f44 ~> f29 [A <= 0*K, B <= B, C <= C, D <= D, E <= E, F <= K + F, G <= 0*K, H <= H, I <= I, J <= 0*K, K <= K, L <= L] f52 ~> f55 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f52 ~> f55 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f55 ~> f52 [A <= A, B <= K, C <= C, D <= D, E <= E, F <= K + F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f55 ~> f52 [A <= A, B <= 0*K, C <= C, D <= D, E <= E, F <= K + F, G <= G, H <= H, I <= I, J <= J, K <= 0*K, L <= L] f52 ~> f52 [A <= A, B <= 0*K, C <= C, D <= D, E <= E, F <= C + F, G <= G, H <= H, I <= I, J <= J, K <= 0*K, L <= L] f63 ~> f71 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= 0*K] f63 ~> f71 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= 0*K] f63 ~> f71 [A <= A, B <= 0*K, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= K] f52 ~> f63 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f52 ~> f63 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f52 ~> f71 [A <= 0*K, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= K] f33 ~> f44 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f33 ~> f44 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f33 ~> f29 [A <= 0*K, B <= B, C <= C, D <= D, E <= E, F <= K + F, G <= G, H <= H, I <= I, J <= 0*K, K <= K, L <= L] f29 ~> f52 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 0*K, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f23 ~> f29 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 0*K, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f52 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f63 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] + Loop: [0.0 <= C + F] f23 ~> f23 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= C + F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] + Loop: [0.1 <= 2*K + C + F] f29 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= 0*K, H <= 0*K, I <= I, J <= J, K <= K, L <= L] f44 ~> f29 [A <= K, B <= B, C <= C, D <= D, E <= E, F <= K + F, G <= G, H <= H, I <= I, J <= K, K <= K, L <= L] f33 ~> f44 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f33 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= K, H <= C + H, I <= K, J <= J, K <= K, L <= L] f33 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= K, H <= C + H, I <= K, J <= J, K <= K, L <= L] f33 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= 0*K, H <= C + H, I <= 0*K, J <= J, K <= K, L <= L] f33 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= 0*K, H <= C + H, I <= 0*K, J <= J, K <= K, L <= L] f33 ~> f44 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f44 ~> f29 [A <= K, B <= B, C <= C, D <= D, E <= E, F <= K + F, G <= G, H <= H, I <= I, J <= K, K <= K, L <= L] f44 ~> f29 [A <= 0*K, B <= B, C <= C, D <= D, E <= E, F <= K + F, G <= 0*K, H <= H, I <= I, J <= 0*K, K <= K, L <= L] f33 ~> f29 [A <= 0*K, B <= B, C <= C, D <= D, E <= E, F <= K + F, G <= G, H <= H, I <= I, J <= 0*K, K <= K, L <= L] + Loop: [0.1.0 <= C + H] f33 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= 0*K, H <= C + H, I <= 0*K, J <= J, K <= K, L <= L] f33 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= 0*K, H <= C + H, I <= 0*K, J <= J, K <= K, L <= L] + Loop: [0.1.0.0 <= C + H] f33 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= 0*K, H <= C + H, I <= 0*K, J <= J, K <= K, L <= L] + Loop: [0.1.1 <= C + H] f33 ~> f33 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= K, H <= C + H, I <= K, J <= J, K <= K, L <= L] + Loop: [0.2 <= 2*K + C + F] f55 ~> f52 [A <= A, B <= K, C <= C, D <= D, E <= E, F <= K + F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] f52 ~> f55 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L] + Loop: [0.3 <= K + C + F] f52 ~> f52 [A <= A, B <= 0*K, C <= C, D <= D, E <= E, F <= C + F, G <= G, H <= H, I <= I, J <= J, K <= 0*K, L <= L] + Applied Processor: FlowAbstraction + Details: () * Step 9: LareProcessor WORST_CASE(?,O(1)) + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,D,E,F,G,H,I,J,K,L,0.0,0.1,0.1.0,0.1.0.0,0.1.1,0.2,0.3] f0 ~> f23 [K ~=> A,K ~=> B,K ~=> C,K ~=> F,huge ~=> D,huge ~=> E] f23 ~> f23 [C ~+> F,F ~+> F] f29 ~> f33 [K ~=> G,K ~=> H] f33 ~> f33 [K ~=> G,K ~=> I,C ~+> H,H ~+> H] f33 ~> f33 [K ~=> G,K ~=> I,C ~+> H,H ~+> H] f33 ~> f33 [K ~=> G,K ~=> I,C ~+> H,H ~+> H] f33 ~> f33 [K ~=> G,K ~=> I,C ~+> H,H ~+> H] f44 ~> f29 [K ~=> A,K ~=> J,F ~+> F,K ~+> F] f44 ~> f29 [K ~=> A,K ~=> J,F ~+> F,K ~+> F] f44 ~> f29 [K ~=> A,K ~=> G,K ~=> J,F ~+> F,K ~+> F] f52 ~> f55 [] f52 ~> f55 [] f55 ~> f52 [K ~=> B,K ~=> K,F ~+> F,K ~+> F] f55 ~> f52 [K ~=> B,K ~=> K,F ~+> F,K ~+> F] f52 ~> f52 [K ~=> B,K ~=> K,C ~+> F,F ~+> F] f63 ~> f71 [K ~=> L] f63 ~> f71 [K ~=> L] f63 ~> f71 [K ~=> B,K ~=> L] f52 ~> f63 [] f52 ~> f63 [] f52 ~> f71 [K ~=> A,K ~=> L] f33 ~> f44 [] f33 ~> f44 [] f33 ~> f29 [K ~=> A,K ~=> J,F ~+> F,K ~+> F] f29 ~> f52 [K ~=> F] f23 ~> f29 [K ~=> F] f52 ~> exitus616 [] f63 ~> exitus616 [] + Loop: [C ~+> 0.0,F ~+> 0.0] f23 ~> f23 [C ~+> F,F ~+> F] + Loop: [C ~+> 0.1,F ~+> 0.1,K ~*> 0.1] f29 ~> f33 [K ~=> G,K ~=> H] f44 ~> f29 [K ~=> A,K ~=> J,F ~+> F,K ~+> F] f33 ~> f44 [] f33 ~> f33 [K ~=> G,K ~=> I,C ~+> H,H ~+> H] f33 ~> f33 [K ~=> G,K ~=> I,C ~+> H,H ~+> H] f33 ~> f33 [K ~=> G,K ~=> I,C ~+> H,H ~+> H] f33 ~> f33 [K ~=> G,K ~=> I,C ~+> H,H ~+> H] f33 ~> f44 [] f44 ~> f29 [K ~=> A,K ~=> J,F ~+> F,K ~+> F] f44 ~> f29 [K ~=> A,K ~=> G,K ~=> J,F ~+> F,K ~+> F] f33 ~> f29 [K ~=> A,K ~=> J,F ~+> F,K ~+> F] + Loop: [C ~+> 0.1.0,H ~+> 0.1.0] f33 ~> f33 [K ~=> G,K ~=> I,C ~+> H,H ~+> H] f33 ~> f33 [K ~=> G,K ~=> I,C ~+> H,H ~+> H] + Loop: [C ~+> 0.1.0.0,H ~+> 0.1.0.0] f33 ~> f33 [K ~=> G,K ~=> I,C ~+> H,H ~+> H] + Loop: [C ~+> 0.1.1,H ~+> 0.1.1] f33 ~> f33 [K ~=> G,K ~=> I,C ~+> H,H ~+> H] + Loop: [C ~+> 0.2,F ~+> 0.2,K ~*> 0.2] f55 ~> f52 [K ~=> B,K ~=> K,F ~+> F,K ~+> F] f52 ~> f55 [] + Loop: [C ~+> 0.3,F ~+> 0.3,K ~+> 0.3] f52 ~> f52 [K ~=> B,K ~=> K,C ~+> F,F ~+> F] + Applied Processor: LareProcessor + Details: f0 ~> exitus616 [K ~=> A ,K ~=> B ,K ~=> C ,K ~=> F ,K ~=> G ,K ~=> H ,K ~=> I ,K ~=> J ,K ~=> K ,huge ~=> D ,huge ~=> E ,tick ~+> tick ,K ~+> F ,K ~+> H ,K ~+> 0.0 ,K ~+> 0.1 ,K ~+> 0.1.0 ,K ~+> 0.1.0.0 ,K ~+> 0.1.1 ,K ~+> 0.2 ,K ~+> 0.3 ,K ~+> tick ,K ~*> F ,K ~*> H ,K ~*> 0.0 ,K ~*> 0.1 ,K ~*> 0.1.0 ,K ~*> 0.1.0.0 ,K ~*> 0.1.1 ,K ~*> 0.2 ,K ~*> 0.3 ,K ~*> tick ,K ~^> H ,K ~^> 0.1.0 ,K ~^> 0.1.0.0 ,K ~^> 0.1.1 ,K ~^> tick] f0 ~> f71 [K ~=> A ,K ~=> B ,K ~=> C ,K ~=> F ,K ~=> G ,K ~=> H ,K ~=> I ,K ~=> J ,K ~=> K ,K ~=> L ,huge ~=> D ,huge ~=> E ,tick ~+> tick ,K ~+> F ,K ~+> H ,K ~+> 0.0 ,K ~+> 0.1 ,K ~+> 0.1.0 ,K ~+> 0.1.0.0 ,K ~+> 0.1.1 ,K ~+> 0.2 ,K ~+> 0.3 ,K ~+> tick ,K ~*> F ,K ~*> H ,K ~*> 0.0 ,K ~*> 0.1 ,K ~*> 0.1.0 ,K ~*> 0.1.0.0 ,K ~*> 0.1.1 ,K ~*> 0.2 ,K ~*> 0.3 ,K ~*> tick ,K ~^> H ,K ~^> 0.1.0 ,K ~^> 0.1.0.0 ,K ~^> 0.1.1 ,K ~^> tick] f0 ~> f55 [K ~=> A ,K ~=> B ,K ~=> C ,K ~=> F ,K ~=> G ,K ~=> H ,K ~=> I ,K ~=> J ,K ~=> K ,huge ~=> D ,huge ~=> E ,tick ~+> tick ,K ~+> F ,K ~+> H ,K ~+> 0.0 ,K ~+> 0.1 ,K ~+> 0.1.0 ,K ~+> 0.1.0.0 ,K ~+> 0.1.1 ,K ~+> 0.2 ,K ~+> 0.3 ,K ~+> tick ,K ~*> F ,K ~*> H ,K ~*> 0.0 ,K ~*> 0.1 ,K ~*> 0.1.0 ,K ~*> 0.1.0.0 ,K ~*> 0.1.1 ,K ~*> 0.2 ,K ~*> 0.3 ,K ~*> tick ,K ~^> H ,K ~^> 0.1.0 ,K ~^> 0.1.0.0 ,K ~^> 0.1.1 ,K ~^> tick] + f23> [C ~+> F,C ~+> 0.0,C ~+> tick,F ~+> F,F ~+> 0.0,F ~+> tick,tick ~+> tick,C ~*> F,F ~*> F] + f29> [K ~=> A ,K ~=> G ,K ~=> H ,K ~=> I ,K ~=> J ,C ~+> H ,C ~+> 0.1 ,C ~+> 0.1.0 ,C ~+> 0.1.0.0 ,C ~+> 0.1.1 ,C ~+> tick ,F ~+> F ,F ~+> 0.1 ,F ~+> tick ,tick ~+> tick ,K ~+> F ,K ~+> H ,K ~+> 0.1.0 ,K ~+> 0.1.0.0 ,K ~+> 0.1.1 ,K ~+> tick ,C ~*> F ,C ~*> H ,C ~*> 0.1.0 ,C ~*> 0.1.0.0 ,C ~*> 0.1.1 ,C ~*> tick ,F ~*> F ,F ~*> H ,F ~*> tick ,K ~*> F ,K ~*> H ,K ~*> 0.1 ,K ~*> 0.1.0 ,K ~*> 0.1.0.0 ,K ~*> 0.1.1 ,K ~*> tick ,C ~^> H ,C ~^> 0.1.0 ,C ~^> 0.1.0.0 ,C ~^> 0.1.1 ,C ~^> tick ,F ~^> H ,K ~^> H ,K ~^> 0.1.0 ,K ~^> 0.1.0.0 ,K ~^> 0.1.1 ,K ~^> tick] + f33> [K ~=> G ,K ~=> I ,C ~+> H ,C ~+> 0.1.0 ,C ~+> 0.1.0.0 ,C ~+> tick ,H ~+> H ,H ~+> 0.1.0 ,H ~+> 0.1.0.0 ,H ~+> tick ,tick ~+> tick ,C ~*> H ,C ~*> 0.1.0.0 ,C ~*> tick ,H ~*> H ,H ~*> 0.1.0.0 ,H ~*> tick ,C ~^> H ,H ~^> H] + f33> [K ~=> G ,K ~=> I ,C ~+> H ,C ~+> 0.1.0.0 ,C ~+> tick ,H ~+> H ,H ~+> 0.1.0.0 ,H ~+> tick ,tick ~+> tick ,C ~*> H ,H ~*> H] + f33> [K ~=> G ,K ~=> I ,C ~+> H ,C ~+> 0.1.1 ,C ~+> tick ,H ~+> H ,H ~+> 0.1.1 ,H ~+> tick ,tick ~+> tick ,C ~*> H ,H ~*> H] + f52> [K ~=> B ,K ~=> K ,C ~+> 0.2 ,C ~+> tick ,F ~+> F ,F ~+> 0.2 ,F ~+> tick ,tick ~+> tick ,K ~+> F ,C ~*> F ,F ~*> F ,K ~*> F ,K ~*> 0.2 ,K ~*> tick] f55> [K ~=> B ,K ~=> K ,C ~+> 0.2 ,C ~+> tick ,F ~+> F ,F ~+> 0.2 ,F ~+> tick ,tick ~+> tick ,K ~+> F ,C ~*> F ,F ~*> F ,K ~*> F ,K ~*> 0.2 ,K ~*> tick] + f52> [K ~=> B ,K ~=> K ,C ~+> F ,C ~+> 0.3 ,C ~+> tick ,F ~+> F ,F ~+> 0.3 ,F ~+> tick ,tick ~+> tick ,K ~+> 0.3 ,K ~+> tick ,C ~*> F ,F ~*> F ,K ~*> F] YES(?,O(1))