MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f13(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,E,F,G,H,I,J) [0 >= 1 + K] (?,1) 1. f13(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,E,F,G,H,I,J) [K >= 1] (?,1) 2. f13(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,E,F,G,H,I,J) True (?,1) 3. f19(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,E,F,G,H,I,J) [0 >= 1 + K] (?,1) 4. f19(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,E,F,G,H,I,J) [K >= 1] (?,1) 5. f19(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,E,F,G,H,I,J) True (?,1) 6. f8(A,B,C,D,E,F,G,H,I,J) -> f27(A,B,C,D,0,0,G,H,I,J) True (1,1) 7. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,0,-2 + D,-1 + D,0,F,0,H,I,J) [D >= 1 && C + D >= 1 && C >= 1 && E = 0] (?,1) 8. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,K,-1 + C,-1 + C,0,F,0,H,I,J) [D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 0] (?,1) 9. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,K,-1 + C,-1 + C,0,F,0,H,I,J) [D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 0] (?,1) 10. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && 0 >= 1 + K && 0 >= 1 + M && E = 0] (?,1) 11. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && 0 >= 1 + K && M >= 1 && E = 0] (?,1) 12. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && K >= 1 && 0 >= 1 + M && E = 0] (?,1) 13. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && K >= 1 && M >= 1 && E = 0] (?,1) 14. f27(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,K,C,D,J) [D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 0] (?,1) 15. f27(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,K,C,D,J) [D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 0] (?,1) 16. f27(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (?,1) 17. f27(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [C >= 1 && 0 >= D] (?,1) 18. f28(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 19. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 20. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 21. f28(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 22. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 23. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 24. f28(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 25. f28(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (?,1) 26. f28(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [C >= 1 && 0 >= D] (?,1) 27. f29(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 28. f29(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 29. f29(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 30. f29(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 31. f29(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 32. f29(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 33. f29(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 34. f29(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (?,1) 35. f29(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [C >= 1 && 0 >= D] (?,1) 36. f30(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 37. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 38. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 39. f30(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 40. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 41. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 42. f30(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 43. f30(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (?,1) 44. f31(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 45. f31(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 46. f31(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 47. f31(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 48. f31(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 49. f31(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 50. f31(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 51. f31(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (?,1) Signature: {(f13,10);(f19,10);(f27,10);(f28,10);(f29,10);(f30,10);(f300,10);(f31,10);(f8,10);(f9,10)} Flow Graph: [0->{44,45,46,47,48,49,50,51},1->{44,45,46,47,48,49,50,51},2->{27,28,29,30,31,32,33,34,35},3->{44,45,46,47 ,48,49,50,51},4->{44,45,46,47,48,49,50,51},5->{27,28,29,30,31,32,33,34,35},6->{7,8,9,10,11,12,13,14,15,16 ,17},7->{7,8,9,10,11,12,13,14,15,16,17},8->{7,8,9,10,11,12,13,14,15,16,17},9->{7,8,9,10,11,12,13,14,15,16 ,17},10->{36,37,38,39,40,41,42,43},11->{36,37,38,39,40,41,42,43},12->{36,37,38,39,40,41,42,43},13->{36,37,38 ,39,40,41,42,43},14->{18,19,20,21,22,23,24,25,26},15->{18,19,20,21,22,23,24,25,26},16->{},17->{},18->{} ,19->{36,37,38,39,40,41,42,43},20->{36,37,38,39,40,41,42,43},21->{18,19,20,21,22,23,24,25,26},22->{36,37,38 ,39,40,41,42,43},23->{36,37,38,39,40,41,42,43},24->{18,19,20,21,22,23,24,25,26},25->{},26->{},27->{},28->{44 ,45,46,47,48,49,50,51},29->{44,45,46,47,48,49,50,51},30->{27,28,29,30,31,32,33,34,35},31->{44,45,46,47,48,49 ,50,51},32->{44,45,46,47,48,49,50,51},33->{27,28,29,30,31,32,33,34,35},34->{},35->{},36->{},37->{36,37,38,39 ,40,41,42,43},38->{36,37,38,39,40,41,42,43},39->{18,19,20,21,22,23,24,25,26},40->{36,37,38,39,40,41,42,43} ,41->{36,37,38,39,40,41,42,43},42->{18,19,20,21,22,23,24,25,26},43->{},44->{},45->{44,45,46,47,48,49,50,51} ,46->{44,45,46,47,48,49,50,51},47->{27,28,29,30,31,32,33,34,35},48->{44,45,46,47,48,49,50,51},49->{44,45,46 ,47,48,49,50,51},50->{27,28,29,30,31,32,33,34,35},51->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f13(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,E,F,G,H,I,J) [0 >= 1 + K] (1,1) 1. f13(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,E,F,G,H,I,J) [K >= 1] (1,1) 2. f13(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,E,F,G,H,I,J) True (1,1) 3. f19(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,E,F,G,H,I,J) [0 >= 1 + K] (1,1) 4. f19(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,E,F,G,H,I,J) [K >= 1] (1,1) 5. f19(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,E,F,G,H,I,J) True (1,1) 6. f8(A,B,C,D,E,F,G,H,I,J) -> f27(A,B,C,D,0,0,G,H,I,J) True (1,1) 7. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,0,-2 + D,-1 + D,0,F,0,H,I,J) [D >= 1 && C + D >= 1 && C >= 1 && E = 0] (?,1) 8. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,K,-1 + C,-1 + C,0,F,0,H,I,J) [D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 0] (?,1) 9. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,K,-1 + C,-1 + C,0,F,0,H,I,J) [D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 0] (?,1) 10. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && 0 >= 1 + K && 0 >= 1 + M && E = 0] (1,1) 11. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && 0 >= 1 + K && M >= 1 && E = 0] (1,1) 12. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && K >= 1 && 0 >= 1 + M && E = 0] (1,1) 13. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && K >= 1 && M >= 1 && E = 0] (1,1) 14. f27(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,K,C,D,J) [D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 0] (1,1) 15. f27(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,K,C,D,J) [D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 0] (1,1) 16. f27(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (1,1) 17. f27(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [C >= 1 && 0 >= D] (1,1) 18. f28(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (1,1) 19. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 20. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 21. f28(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 22. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 23. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 24. f28(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 25. f28(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (1,1) 26. f28(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [C >= 1 && 0 >= D] (1,1) 27. f29(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (1,1) 28. f29(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 29. f29(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 30. f29(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 31. f29(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 32. f29(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 33. f29(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 34. f29(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (1,1) 35. f29(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [C >= 1 && 0 >= D] (1,1) 36. f30(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (1,1) 37. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 38. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 39. f30(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 40. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 41. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 42. f30(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 43. f30(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (1,1) 44. f31(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (1,1) 45. f31(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 46. f31(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 47. f31(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 48. f31(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 49. f31(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 50. f31(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 51. f31(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (1,1) Signature: {(f13,10);(f19,10);(f27,10);(f28,10);(f29,10);(f30,10);(f300,10);(f31,10);(f8,10);(f9,10)} Flow Graph: [0->{44,45,46,47,48,49,50,51},1->{44,45,46,47,48,49,50,51},2->{27,28,29,30,31,32,33,34,35},3->{44,45,46,47 ,48,49,50,51},4->{44,45,46,47,48,49,50,51},5->{27,28,29,30,31,32,33,34,35},6->{7,8,9,10,11,12,13,14,15,16 ,17},7->{7,8,9,10,11,12,13,14,15,16,17},8->{7,8,9,10,11,12,13,14,15,16,17},9->{7,8,9,10,11,12,13,14,15,16 ,17},10->{36,37,38,39,40,41,42,43},11->{36,37,38,39,40,41,42,43},12->{36,37,38,39,40,41,42,43},13->{36,37,38 ,39,40,41,42,43},14->{18,19,20,21,22,23,24,25,26},15->{18,19,20,21,22,23,24,25,26},16->{},17->{},18->{} ,19->{36,37,38,39,40,41,42,43},20->{36,37,38,39,40,41,42,43},21->{18,19,20,21,22,23,24,25,26},22->{36,37,38 ,39,40,41,42,43},23->{36,37,38,39,40,41,42,43},24->{18,19,20,21,22,23,24,25,26},25->{},26->{},27->{},28->{44 ,45,46,47,48,49,50,51},29->{44,45,46,47,48,49,50,51},30->{27,28,29,30,31,32,33,34,35},31->{44,45,46,47,48,49 ,50,51},32->{44,45,46,47,48,49,50,51},33->{27,28,29,30,31,32,33,34,35},34->{},35->{},36->{},37->{36,37,38,39 ,40,41,42,43},38->{36,37,38,39,40,41,42,43},39->{18,19,20,21,22,23,24,25,26},40->{36,37,38,39,40,41,42,43} ,41->{36,37,38,39,40,41,42,43},42->{18,19,20,21,22,23,24,25,26},43->{},44->{},45->{44,45,46,47,48,49,50,51} ,46->{44,45,46,47,48,49,50,51},47->{27,28,29,30,31,32,33,34,35},48->{44,45,46,47,48,49,50,51},49->{44,45,46 ,47,48,49,50,51},50->{27,28,29,30,31,32,33,34,35},51->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,35) ,(5,35) ,(7,17) ,(8,17) ,(9,17) ,(10,36) ,(10,40) ,(10,41) ,(10,42) ,(11,36) ,(11,40) ,(11,41) ,(11,42) ,(12,36) ,(12,40) ,(12,41) ,(12,42) ,(13,36) ,(13,40) ,(13,41) ,(13,42) ,(14,18) ,(14,26) ,(15,18) ,(15,26) ,(19,36) ,(19,40) ,(19,41) ,(19,42) ,(20,36) ,(20,40) ,(20,41) ,(20,42) ,(21,26) ,(24,18) ,(24,26) ,(28,44) ,(28,48) ,(28,49) ,(28,50) ,(29,44) ,(29,48) ,(29,49) ,(29,50) ,(30,35) ,(33,27) ,(33,35) ,(37,36) ,(37,40) ,(37,41) ,(37,42) ,(38,36) ,(38,40) ,(38,41) ,(38,42) ,(39,26) ,(42,18) ,(42,26) ,(45,44) ,(45,48) ,(45,49) ,(45,50) ,(46,44) ,(46,48) ,(46,49) ,(46,50) ,(47,35) ,(50,27) ,(50,35)] * Step 3: UnreachableRules MAYBE + Considered Problem: Rules: 0. f13(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,E,F,G,H,I,J) [0 >= 1 + K] (1,1) 1. f13(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,E,F,G,H,I,J) [K >= 1] (1,1) 2. f13(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,E,F,G,H,I,J) True (1,1) 3. f19(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,E,F,G,H,I,J) [0 >= 1 + K] (1,1) 4. f19(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,E,F,G,H,I,J) [K >= 1] (1,1) 5. f19(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,E,F,G,H,I,J) True (1,1) 6. f8(A,B,C,D,E,F,G,H,I,J) -> f27(A,B,C,D,0,0,G,H,I,J) True (1,1) 7. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,0,-2 + D,-1 + D,0,F,0,H,I,J) [D >= 1 && C + D >= 1 && C >= 1 && E = 0] (?,1) 8. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,K,-1 + C,-1 + C,0,F,0,H,I,J) [D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 0] (?,1) 9. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,K,-1 + C,-1 + C,0,F,0,H,I,J) [D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 0] (?,1) 10. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && 0 >= 1 + K && 0 >= 1 + M && E = 0] (1,1) 11. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && 0 >= 1 + K && M >= 1 && E = 0] (1,1) 12. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && K >= 1 && 0 >= 1 + M && E = 0] (1,1) 13. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && K >= 1 && M >= 1 && E = 0] (1,1) 14. f27(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,K,C,D,J) [D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 0] (1,1) 15. f27(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,K,C,D,J) [D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 0] (1,1) 16. f27(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (1,1) 17. f27(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [C >= 1 && 0 >= D] (1,1) 18. f28(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (1,1) 19. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 20. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 21. f28(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 22. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 23. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 24. f28(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 25. f28(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (1,1) 26. f28(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [C >= 1 && 0 >= D] (1,1) 27. f29(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (1,1) 28. f29(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 29. f29(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 30. f29(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 31. f29(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 32. f29(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 33. f29(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 34. f29(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (1,1) 35. f29(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [C >= 1 && 0 >= D] (1,1) 36. f30(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (1,1) 37. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 38. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 39. f30(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 40. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 41. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 42. f30(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 43. f30(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (1,1) 44. f31(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (1,1) 45. f31(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 46. f31(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 47. f31(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 48. f31(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 49. f31(A,B,C,D,E,F,G,H,I,J) -> f31(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 50. f31(A,B,C,D,E,F,G,H,I,J) -> f29(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 51. f31(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (1,1) Signature: {(f13,10);(f19,10);(f27,10);(f28,10);(f29,10);(f30,10);(f300,10);(f31,10);(f8,10);(f9,10)} Flow Graph: [0->{44,45,46,47,48,49,50,51},1->{44,45,46,47,48,49,50,51},2->{27,28,29,30,31,32,33,34},3->{44,45,46,47,48 ,49,50,51},4->{44,45,46,47,48,49,50,51},5->{27,28,29,30,31,32,33,34},6->{7,8,9,10,11,12,13,14,15,16,17} ,7->{7,8,9,10,11,12,13,14,15,16},8->{7,8,9,10,11,12,13,14,15,16},9->{7,8,9,10,11,12,13,14,15,16},10->{37,38 ,39,43},11->{37,38,39,43},12->{37,38,39,43},13->{37,38,39,43},14->{19,20,21,22,23,24,25},15->{19,20,21,22,23 ,24,25},16->{},17->{},18->{},19->{37,38,39,43},20->{37,38,39,43},21->{18,19,20,21,22,23,24,25},22->{36,37,38 ,39,40,41,42,43},23->{36,37,38,39,40,41,42,43},24->{19,20,21,22,23,24,25},25->{},26->{},27->{},28->{45,46,47 ,51},29->{45,46,47,51},30->{27,28,29,30,31,32,33,34},31->{44,45,46,47,48,49,50,51},32->{44,45,46,47,48,49,50 ,51},33->{28,29,30,31,32,33,34},34->{},35->{},36->{},37->{37,38,39,43},38->{37,38,39,43},39->{18,19,20,21,22 ,23,24,25},40->{36,37,38,39,40,41,42,43},41->{36,37,38,39,40,41,42,43},42->{19,20,21,22,23,24,25},43->{} ,44->{},45->{45,46,47,51},46->{45,46,47,51},47->{27,28,29,30,31,32,33,34},48->{44,45,46,47,48,49,50,51} ,49->{44,45,46,47,48,49,50,51},50->{28,29,30,31,32,33,34},51->{}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [0 ,1 ,2 ,3 ,4 ,5 ,26 ,27 ,28 ,29 ,30 ,31 ,32 ,33 ,34 ,35 ,44 ,45 ,46 ,47 ,48 ,49 ,50 ,51] * Step 4: AddSinks MAYBE + Considered Problem: Rules: 6. f8(A,B,C,D,E,F,G,H,I,J) -> f27(A,B,C,D,0,0,G,H,I,J) True (1,1) 7. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,0,-2 + D,-1 + D,0,F,0,H,I,J) [D >= 1 && C + D >= 1 && C >= 1 && E = 0] (?,1) 8. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,K,-1 + C,-1 + C,0,F,0,H,I,J) [D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 0] (?,1) 9. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,K,-1 + C,-1 + C,0,F,0,H,I,J) [D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 0] (?,1) 10. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && 0 >= 1 + K && 0 >= 1 + M && E = 0] (1,1) 11. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && 0 >= 1 + K && M >= 1 && E = 0] (1,1) 12. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && K >= 1 && 0 >= 1 + M && E = 0] (1,1) 13. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && K >= 1 && M >= 1 && E = 0] (1,1) 14. f27(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,K,C,D,J) [D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 0] (1,1) 15. f27(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,K,C,D,J) [D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 0] (1,1) 16. f27(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (1,1) 17. f27(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [C >= 1 && 0 >= D] (1,1) 18. f28(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (1,1) 19. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 20. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 21. f28(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 22. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 23. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 24. f28(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 25. f28(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (1,1) 36. f30(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (1,1) 37. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 38. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 39. f30(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 40. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 41. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 42. f30(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 43. f30(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (1,1) Signature: {(f13,10);(f19,10);(f27,10);(f28,10);(f29,10);(f30,10);(f300,10);(f31,10);(f8,10);(f9,10)} Flow Graph: [6->{7,8,9,10,11,12,13,14,15,16,17},7->{7,8,9,10,11,12,13,14,15,16},8->{7,8,9,10,11,12,13,14,15,16},9->{7 ,8,9,10,11,12,13,14,15,16},10->{37,38,39,43},11->{37,38,39,43},12->{37,38,39,43},13->{37,38,39,43},14->{19 ,20,21,22,23,24,25},15->{19,20,21,22,23,24,25},16->{},17->{},18->{},19->{37,38,39,43},20->{37,38,39,43} ,21->{18,19,20,21,22,23,24,25},22->{36,37,38,39,40,41,42,43},23->{36,37,38,39,40,41,42,43},24->{19,20,21,22 ,23,24,25},25->{},36->{},37->{37,38,39,43},38->{37,38,39,43},39->{18,19,20,21,22,23,24,25},40->{36,37,38,39 ,40,41,42,43},41->{36,37,38,39,40,41,42,43},42->{19,20,21,22,23,24,25},43->{}] + Applied Processor: AddSinks + Details: () * Step 5: UnsatPaths MAYBE + Considered Problem: Rules: 6. f8(A,B,C,D,E,F,G,H,I,J) -> f27(A,B,C,D,0,0,G,H,I,J) True (1,1) 7. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,0,-2 + D,-1 + D,0,F,0,H,I,J) [D >= 1 && C + D >= 1 && C >= 1 && E = 0] (?,1) 8. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,K,-1 + C,-1 + C,0,F,0,H,I,J) [D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 0] (?,1) 9. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,K,-1 + C,-1 + C,0,F,0,H,I,J) [D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 0] (?,1) 10. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && 0 >= 1 + K && 0 >= 1 + M && E = 0] (?,1) 11. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && 0 >= 1 + K && M >= 1 && E = 0] (?,1) 12. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && K >= 1 && 0 >= 1 + M && E = 0] (?,1) 13. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && K >= 1 && M >= 1 && E = 0] (?,1) 14. f27(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,K,C,D,J) [D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 0] (?,1) 15. f27(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,K,C,D,J) [D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 0] (?,1) 16. f27(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (?,1) 17. f27(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [C >= 1 && 0 >= D] (?,1) 18. f28(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 19. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 20. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 21. f28(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 22. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 23. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 24. f28(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 25. f28(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (?,1) 36. f30(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 37. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 38. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 39. f30(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 40. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 41. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 42. f30(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 43. f30(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (?,1) 44. f27(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True (?,1) 45. f28(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True (?,1) 46. f30(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True (?,1) Signature: {(exitus616,10);(f13,10);(f19,10);(f27,10);(f28,10);(f29,10);(f30,10);(f300,10);(f31,10);(f8,10);(f9,10)} Flow Graph: [6->{7,8,9,10,11,12,13,14,15,16,17,44},7->{7,8,9,10,11,12,13,14,15,16,17,44},8->{7,8,9,10,11,12,13,14,15 ,16,17,44},9->{7,8,9,10,11,12,13,14,15,16,17,44},10->{36,37,38,39,40,41,42,43,46},11->{36,37,38,39,40,41,42 ,43,46},12->{36,37,38,39,40,41,42,43,46},13->{36,37,38,39,40,41,42,43,46},14->{18,19,20,21,22,23,24,25,45} ,15->{18,19,20,21,22,23,24,25,45},16->{},17->{},18->{},19->{36,37,38,39,40,41,42,43,46},20->{36,37,38,39,40 ,41,42,43,46},21->{18,19,20,21,22,23,24,25,45},22->{36,37,38,39,40,41,42,43,46},23->{36,37,38,39,40,41,42,43 ,46},24->{18,19,20,21,22,23,24,25,45},25->{},36->{},37->{36,37,38,39,40,41,42,43,46},38->{36,37,38,39,40,41 ,42,43,46},39->{18,19,20,21,22,23,24,25,45},40->{36,37,38,39,40,41,42,43,46},41->{36,37,38,39,40,41,42,43 ,46},42->{18,19,20,21,22,23,24,25,45},43->{},44->{},45->{},46->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(7,17) ,(8,17) ,(9,17) ,(10,36) ,(10,40) ,(10,41) ,(10,42) ,(11,36) ,(11,40) ,(11,41) ,(11,42) ,(12,36) ,(12,40) ,(12,41) ,(12,42) ,(13,36) ,(13,40) ,(13,41) ,(13,42) ,(14,18) ,(15,18) ,(19,36) ,(19,40) ,(19,41) ,(19,42) ,(20,36) ,(20,40) ,(20,41) ,(20,42) ,(24,18) ,(37,36) ,(37,40) ,(37,41) ,(37,42) ,(38,36) ,(38,40) ,(38,41) ,(38,42) ,(42,18)] * Step 6: Failure MAYBE + Considered Problem: Rules: 6. f8(A,B,C,D,E,F,G,H,I,J) -> f27(A,B,C,D,0,0,G,H,I,J) True (1,1) 7. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,0,-2 + D,-1 + D,0,F,0,H,I,J) [D >= 1 && C + D >= 1 && C >= 1 && E = 0] (?,1) 8. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,K,-1 + C,-1 + C,0,F,0,H,I,J) [D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 0] (?,1) 9. f27(A,B,C,D,E,F,G,H,I,J) -> f27(L,K,-1 + C,-1 + C,0,F,0,H,I,J) [D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 0] (?,1) 10. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && 0 >= 1 + K && 0 >= 1 + M && E = 0] (?,1) 11. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && 0 >= 1 + K && M >= 1 && E = 0] (?,1) 12. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && K >= 1 && 0 >= 1 + M && E = 0] (?,1) 13. f27(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,M,C,D,J) [D >= 1 && C >= 1 && C + D >= 1 && K >= 1 && M >= 1 && E = 0] (?,1) 14. f27(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,K,C,D,J) [D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 0] (?,1) 15. f27(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,K,C,D,J) [D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 0] (?,1) 16. f27(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (?,1) 17. f27(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [C >= 1 && 0 >= D] (?,1) 18. f28(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 19. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 20. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 21. f28(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 22. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 23. f28(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 24. f28(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 25. f28(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (?,1) 36. f30(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,C,D,1,1,G,H,I,J) [D >= I && C >= H && C + D >= H + I && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 37. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 38. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 39. f30(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [H >= 1 + C && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 40. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && 0 >= 1 + K && C + D >= 1 && E = 1] (?,1) 41. f30(A,B,C,D,E,F,G,H,I,J) -> f30(L,K,-1 + C,-1 + C,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C >= 1 && K >= 1 && C + D >= 1 && E = 1] (?,1) 42. f30(A,B,C,D,E,F,G,H,I,J) -> f28(L,0,-2 + D,-1 + D,1,F,G,H,I,J) [I >= 1 + D && C >= H && D >= 1 && C + D >= 1 && C >= 1 && E = 1] (?,1) 43. f30(A,B,C,D,E,F,G,H,I,J) -> f9(A,B,C,D,E,F,G,H,I,L) [0 >= C] (?,1) 44. f27(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True (?,1) 45. f28(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True (?,1) 46. f30(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True (?,1) Signature: {(exitus616,10);(f13,10);(f19,10);(f27,10);(f28,10);(f29,10);(f30,10);(f300,10);(f31,10);(f8,10);(f9,10)} Flow Graph: [6->{7,8,9,10,11,12,13,14,15,16,17,44},7->{7,8,9,10,11,12,13,14,15,16,44},8->{7,8,9,10,11,12,13,14,15,16 ,44},9->{7,8,9,10,11,12,13,14,15,16,44},10->{37,38,39,43,46},11->{37,38,39,43,46},12->{37,38,39,43,46} ,13->{37,38,39,43,46},14->{19,20,21,22,23,24,25,45},15->{19,20,21,22,23,24,25,45},16->{},17->{},18->{} ,19->{37,38,39,43,46},20->{37,38,39,43,46},21->{18,19,20,21,22,23,24,25,45},22->{36,37,38,39,40,41,42,43,46} ,23->{36,37,38,39,40,41,42,43,46},24->{19,20,21,22,23,24,25,45},25->{},36->{},37->{37,38,39,43,46},38->{37 ,38,39,43,46},39->{18,19,20,21,22,23,24,25,45},40->{36,37,38,39,40,41,42,43,46},41->{36,37,38,39,40,41,42,43 ,46},42->{19,20,21,22,23,24,25,45},43->{},44->{},45->{},46->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,36,37,38,39,40,41,42,43,44,45,46] | +- p:[7,8,9] c: [] | `- p:[37,19,21,24,39,20,42,22,23,40,41,38] c: [] MAYBE