MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f0(A,1 + B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) [A >= B] (?,1) 1. f74(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f16(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) [E >= 0 && A + -1*C >= 0 && C >= 1 + D] (?,1) 2. f74(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f16(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) [E >= 0 && A + -1*C >= 0 && D >= 1 + C] (?,1) 3. f13(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f16(A,B,C,D,0,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) [A >= C] (?,1) 4. f16(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) [E >= 0 && A + -1*C >= 0 && D >= A] (?,1) 5. f16(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f26(A,B,C,D,E,V,W,V + W,0,J,K,L,M,N,O,P,Q,R,S,T,U) [E >= 0 && A + -1*C >= 0 && A >= 1 + D] (?,1) 6. f16(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f16(A,B,C,1 + D,E,V,W,V + W,X,J,K,L,M,N,O,P,Q,R,S,T,U) [E >= 0 && A + -1*C >= 0 && 0 >= 1 + X && A >= 1 + D] (?,1) 7. f16(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f16(A,B,C,1 + D,E,V,W,V + W,X,J,K,L,M,N,O,P,Q,R,S,T,U) [E >= 0 && A + -1*C >= 0 && X >= 1 && A >= 1 + D] (?,1) 8. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f74(A,B,C,C,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) [E >= 0 && A + -1*C >= 0 && C = D] (?,1) 9. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f29(A,B,C,D,1 + E,F,G,H,I,E,K,L,M,N,O,P,Q,R,S,T,U) [E >= 0 && A + -1*C >= 0 && C >= 1 + D] (?,1) 10. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f29(A,B,C,D,1 + E,F,G,H,I,E,K,L,M,N,O,P,Q,R,S,T,U) [E >= 0 && A + -1*C >= 0 && D >= 1 + C] (?,1) 11. f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f33(A,B,C,D,E,F,G,H,I,J,V,W,M,N,O,P,Q,R,S,T,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 29 >= J] 12. f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f33(A,B,C,D,E,F,G,H,I,J,V,W,M,N,O,P,Q,R,S,T,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && J >= 31] 13. f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f33(A,B,C,D,E,F,G,H,I,30,V,W,M,N,O,P,Q,R,S,T,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && J = 30] 14. f33(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f42(A,B,C,D,E,F,G,H,I,J,V,L,W,W,1,1,0,R,S,T,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && K >= 0] 15. f33(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f42(A,B,C,D,E,F,G,H,I,J,V,L,M,-1*W,1,1,0,W,S,T,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 0 >= 1 + K] 16. f42(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f68(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && C >= 1 + B] 17. f42(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f68(A,B,C,D,E,F,G,H,I,J,K,0,M,N,O,P,Q,R,V,W,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C] 18. f42(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f59(A,B,C,D,E,F,G,H,I,J,V,W,M,N,X,Z,A1,R,B1,C1,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && 0 >= 1 + Y] 19. f42(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f59(A,B,C,D,E,F,G,H,I,J,V,W,M,N,X,Z,A1,R,B1,C1,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && Y >= 1] 20. f59(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f59(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,V,T,1 + U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && J >= 0 && A >= U] 21. f68(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f74(A,B,C,D,E,F,G,H,I,J,K,0,M,N,O,P,Q,R,S,T,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && L = 0] 22. f68(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f74(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 0 >= 1 + L] 23. f68(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f74(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && L >= 1] 24. f68(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f74(A,B,C,D,E,F,G,H,I,J,K,0,M,N,O,P,Q,R,S,T,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && C >= 1 + B && L = 0] 25. f74(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f13(A,B,1 + C,C,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) [E >= 0 && A + -1*C >= 0 && C = D] (?,1) 26. f59(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f42(A,-1 + B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && J >= 0 && U >= 1 + A] 27. f13(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f80(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) [C >= 1 + A] (?,1) 28. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f13(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) [B >= 1 + A] (?,1) 29. start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) -> f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U) True (1,1) Signature: {(f0,21) ;(f13,21) ;(f16,21) ;(f26,21) ;(f29,21) ;(f33,21) ;(f42,21) ;(f59,21) ;(f68,21) ;(f74,21) ;(f80,21) ;(start,21)} Flow Graph: [0->{0,28},1->{4,5,6,7},2->{4,5,6,7},3->{4,5,6,7},4->{8,9,10},5->{8,9,10},6->{4,5,6,7},7->{4,5,6,7},8->{1 ,2,25},9->{11,12,13},10->{11,12,13},11->{14,15},12->{14,15},13->{14,15},14->{16,17,18,19},15->{16,17,18,19} ,16->{21,22,23,24},17->{21,22,23,24},18->{20,26},19->{20,26},20->{20,26},21->{1,2,25},22->{1,2,25},23->{1,2 ,25},24->{1,2,25},25->{3,27},26->{16,17,18,19},27->{},28->{3,27},29->{0,28}] + Applied Processor: ArgumentFilter [5,6,7,8,12,13,14,15,16,17,18,19] + Details: We remove following argument positions: [5,6,7,8,12,13,14,15,16,17,18,19]. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,J,K,L,U) -> f0(A,1 + B,C,D,E,J,K,L,U) [A >= B] (?,1) 1. f74(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && C >= 1 + D] (?,1) 2. f74(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && D >= 1 + C] (?,1) 3. f13(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,D,0,J,K,L,U) [A >= C] (?,1) 4. f16(A,B,C,D,E,J,K,L,U) -> f26(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && D >= A] (?,1) 5. f16(A,B,C,D,E,J,K,L,U) -> f26(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && A >= 1 + D] (?,1) 6. f16(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,1 + D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && 0 >= 1 + X && A >= 1 + D] (?,1) 7. f16(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,1 + D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && X >= 1 && A >= 1 + D] (?,1) 8. f26(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,C,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && C = D] (?,1) 9. f26(A,B,C,D,E,J,K,L,U) -> f29(A,B,C,D,1 + E,E,K,L,U) [E >= 0 && A + -1*C >= 0 && C >= 1 + D] (?,1) 10. f26(A,B,C,D,E,J,K,L,U) -> f29(A,B,C,D,1 + E,E,K,L,U) [E >= 0 && A + -1*C >= 0 && D >= 1 + C] (?,1) 11. f29(A,B,C,D,E,J,K,L,U) -> f33(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 29 >= J] 12. f29(A,B,C,D,E,J,K,L,U) -> f33(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && J >= 31] 13. f29(A,B,C,D,E,J,K,L,U) -> f33(A,B,C,D,E,30,V,W,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && J = 30] 14. f33(A,B,C,D,E,J,K,L,U) -> f42(A,B,C,D,E,J,V,L,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && K >= 0] 15. f33(A,B,C,D,E,J,K,L,U) -> f42(A,B,C,D,E,J,V,L,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 0 >= 1 + K] 16. f42(A,B,C,D,E,J,K,L,U) -> f68(A,B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && C >= 1 + B] 17. f42(A,B,C,D,E,J,K,L,U) -> f68(A,B,C,D,E,J,K,0,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C] 18. f42(A,B,C,D,E,J,K,L,U) -> f59(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && 0 >= 1 + Y] 19. f42(A,B,C,D,E,J,K,L,U) -> f59(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && Y >= 1] 20. f59(A,B,C,D,E,J,K,L,U) -> f59(A,B,C,D,E,J,K,L,1 + U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && J >= 0 && A >= U] 21. f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,0,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && L = 0] 22. f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 0 >= 1 + L] 23. f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && L >= 1] 24. f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,0,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && C >= 1 + B && L = 0] 25. f74(A,B,C,D,E,J,K,L,U) -> f13(A,B,1 + C,C,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && C = D] (?,1) 26. f59(A,B,C,D,E,J,K,L,U) -> f42(A,-1 + B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && J >= 0 && U >= 1 + A] 27. f13(A,B,C,D,E,J,K,L,U) -> f80(A,B,C,D,E,J,K,L,U) [C >= 1 + A] (?,1) 28. f0(A,B,C,D,E,J,K,L,U) -> f13(A,B,C,D,E,J,K,L,U) [B >= 1 + A] (?,1) 29. start(A,B,C,D,E,J,K,L,U) -> f0(A,B,C,D,E,J,K,L,U) True (1,1) Signature: {(f0,21) ;(f13,21) ;(f16,21) ;(f26,21) ;(f29,21) ;(f33,21) ;(f42,21) ;(f59,21) ;(f68,21) ;(f74,21) ;(f80,21) ;(start,21)} Flow Graph: [0->{0,28},1->{4,5,6,7},2->{4,5,6,7},3->{4,5,6,7},4->{8,9,10},5->{8,9,10},6->{4,5,6,7},7->{4,5,6,7},8->{1 ,2,25},9->{11,12,13},10->{11,12,13},11->{14,15},12->{14,15},13->{14,15},14->{16,17,18,19},15->{16,17,18,19} ,16->{21,22,23,24},17->{21,22,23,24},18->{20,26},19->{20,26},20->{20,26},21->{1,2,25},22->{1,2,25},23->{1,2 ,25},24->{1,2,25},25->{3,27},26->{16,17,18,19},27->{},28->{3,27},29->{0,28}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,4) ,(4,9) ,(8,1) ,(8,2) ,(16,21) ,(17,22) ,(17,23) ,(17,24)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,J,K,L,U) -> f0(A,1 + B,C,D,E,J,K,L,U) [A >= B] (?,1) 1. f74(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && C >= 1 + D] (?,1) 2. f74(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && D >= 1 + C] (?,1) 3. f13(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,D,0,J,K,L,U) [A >= C] (?,1) 4. f16(A,B,C,D,E,J,K,L,U) -> f26(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && D >= A] (?,1) 5. f16(A,B,C,D,E,J,K,L,U) -> f26(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && A >= 1 + D] (?,1) 6. f16(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,1 + D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && 0 >= 1 + X && A >= 1 + D] (?,1) 7. f16(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,1 + D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && X >= 1 && A >= 1 + D] (?,1) 8. f26(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,C,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && C = D] (?,1) 9. f26(A,B,C,D,E,J,K,L,U) -> f29(A,B,C,D,1 + E,E,K,L,U) [E >= 0 && A + -1*C >= 0 && C >= 1 + D] (?,1) 10. f26(A,B,C,D,E,J,K,L,U) -> f29(A,B,C,D,1 + E,E,K,L,U) [E >= 0 && A + -1*C >= 0 && D >= 1 + C] (?,1) 11. f29(A,B,C,D,E,J,K,L,U) -> f33(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 29 >= J] 12. f29(A,B,C,D,E,J,K,L,U) -> f33(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && J >= 31] 13. f29(A,B,C,D,E,J,K,L,U) -> f33(A,B,C,D,E,30,V,W,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && J = 30] 14. f33(A,B,C,D,E,J,K,L,U) -> f42(A,B,C,D,E,J,V,L,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && K >= 0] 15. f33(A,B,C,D,E,J,K,L,U) -> f42(A,B,C,D,E,J,V,L,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 0 >= 1 + K] 16. f42(A,B,C,D,E,J,K,L,U) -> f68(A,B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && C >= 1 + B] 17. f42(A,B,C,D,E,J,K,L,U) -> f68(A,B,C,D,E,J,K,0,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C] 18. f42(A,B,C,D,E,J,K,L,U) -> f59(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && 0 >= 1 + Y] 19. f42(A,B,C,D,E,J,K,L,U) -> f59(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && Y >= 1] 20. f59(A,B,C,D,E,J,K,L,U) -> f59(A,B,C,D,E,J,K,L,1 + U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && J >= 0 && A >= U] 21. f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,0,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && L = 0] 22. f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 0 >= 1 + L] 23. f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && L >= 1] 24. f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,0,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && C >= 1 + B && L = 0] 25. f74(A,B,C,D,E,J,K,L,U) -> f13(A,B,1 + C,C,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && C = D] (?,1) 26. f59(A,B,C,D,E,J,K,L,U) -> f42(A,-1 + B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 (?,1) && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && J >= 0 && U >= 1 + A] 27. f13(A,B,C,D,E,J,K,L,U) -> f80(A,B,C,D,E,J,K,L,U) [C >= 1 + A] (?,1) 28. f0(A,B,C,D,E,J,K,L,U) -> f13(A,B,C,D,E,J,K,L,U) [B >= 1 + A] (?,1) 29. start(A,B,C,D,E,J,K,L,U) -> f0(A,B,C,D,E,J,K,L,U) True (1,1) Signature: {(f0,21) ;(f13,21) ;(f16,21) ;(f26,21) ;(f29,21) ;(f33,21) ;(f42,21) ;(f59,21) ;(f68,21) ;(f74,21) ;(f80,21) ;(start,21)} Flow Graph: [0->{0,28},1->{5,6,7},2->{4,5,6,7},3->{4,5,6,7},4->{8,10},5->{8,9,10},6->{4,5,6,7},7->{4,5,6,7},8->{25} ,9->{11,12,13},10->{11,12,13},11->{14,15},12->{14,15},13->{14,15},14->{16,17,18,19},15->{16,17,18,19} ,16->{22,23,24},17->{21},18->{20,26},19->{20,26},20->{20,26},21->{1,2,25},22->{1,2,25},23->{1,2,25},24->{1,2 ,25},25->{3,27},26->{16,17,18,19},27->{},28->{3,27},29->{0,28}] + Applied Processor: FromIts + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f0(A,B,C,D,E,J,K,L,U) -> f0(A,1 + B,C,D,E,J,K,L,U) [A >= B] f74(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && C >= 1 + D] f74(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && D >= 1 + C] f13(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,D,0,J,K,L,U) [A >= C] f16(A,B,C,D,E,J,K,L,U) -> f26(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && D >= A] f16(A,B,C,D,E,J,K,L,U) -> f26(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && A >= 1 + D] f16(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,1 + D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && 0 >= 1 + X && A >= 1 + D] f16(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,1 + D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && X >= 1 && A >= 1 + D] f26(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,C,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && C = D] f26(A,B,C,D,E,J,K,L,U) -> f29(A,B,C,D,1 + E,E,K,L,U) [E >= 0 && A + -1*C >= 0 && C >= 1 + D] f26(A,B,C,D,E,J,K,L,U) -> f29(A,B,C,D,1 + E,E,K,L,U) [E >= 0 && A + -1*C >= 0 && D >= 1 + C] f29(A,B,C,D,E,J,K,L,U) -> f33(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 29 >= J] f29(A,B,C,D,E,J,K,L,U) -> f33(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && J >= 31] f29(A,B,C,D,E,J,K,L,U) -> f33(A,B,C,D,E,30,V,W,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && J = 30] f33(A,B,C,D,E,J,K,L,U) -> f42(A,B,C,D,E,J,V,L,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && K >= 0] f33(A,B,C,D,E,J,K,L,U) -> f42(A,B,C,D,E,J,V,L,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 0 >= 1 + K] f42(A,B,C,D,E,J,K,L,U) -> f68(A,B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && C >= 1 + B] f42(A,B,C,D,E,J,K,L,U) -> f68(A,B,C,D,E,J,K,0,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C] f42(A,B,C,D,E,J,K,L,U) -> f59(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && 0 >= 1 + Y] f42(A,B,C,D,E,J,K,L,U) -> f59(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && Y >= 1] f59(A,B,C,D,E,J,K,L,U) -> f59(A,B,C,D,E,J,K,L,1 + U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && J >= 0 && A >= U] f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,0,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && L = 0] f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 0 >= 1 + L] f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && L >= 1] f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,0,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && C >= 1 + B && L = 0] f74(A,B,C,D,E,J,K,L,U) -> f13(A,B,1 + C,C,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && C = D] f59(A,B,C,D,E,J,K,L,U) -> f42(A,-1 + B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && J >= 0 && U >= 1 + A] f13(A,B,C,D,E,J,K,L,U) -> f80(A,B,C,D,E,J,K,L,U) [C >= 1 + A] f0(A,B,C,D,E,J,K,L,U) -> f13(A,B,C,D,E,J,K,L,U) [B >= 1 + A] start(A,B,C,D,E,J,K,L,U) -> f0(A,B,C,D,E,J,K,L,U) True Signature: {(f0,21) ;(f13,21) ;(f16,21) ;(f26,21) ;(f29,21) ;(f33,21) ;(f42,21) ;(f59,21) ;(f68,21) ;(f74,21) ;(f80,21) ;(start,21)} Rule Graph: [0->{0,28},1->{5,6,7},2->{4,5,6,7},3->{4,5,6,7},4->{8,10},5->{8,9,10},6->{4,5,6,7},7->{4,5,6,7},8->{25} ,9->{11,12,13},10->{11,12,13},11->{14,15},12->{14,15},13->{14,15},14->{16,17,18,19},15->{16,17,18,19} ,16->{22,23,24},17->{21},18->{20,26},19->{20,26},20->{20,26},21->{1,2,25},22->{1,2,25},23->{1,2,25},24->{1,2 ,25},25->{3,27},26->{16,17,18,19},27->{},28->{3,27},29->{0,28}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f0(A,B,C,D,E,J,K,L,U) -> f0(A,1 + B,C,D,E,J,K,L,U) [A >= B] f74(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && C >= 1 + D] f74(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && D >= 1 + C] f13(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,D,0,J,K,L,U) [A >= C] f16(A,B,C,D,E,J,K,L,U) -> f26(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && D >= A] f16(A,B,C,D,E,J,K,L,U) -> f26(A,B,C,D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && A >= 1 + D] f16(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,1 + D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && 0 >= 1 + X && A >= 1 + D] f16(A,B,C,D,E,J,K,L,U) -> f16(A,B,C,1 + D,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && X >= 1 && A >= 1 + D] f26(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,C,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && C = D] f26(A,B,C,D,E,J,K,L,U) -> f29(A,B,C,D,1 + E,E,K,L,U) [E >= 0 && A + -1*C >= 0 && C >= 1 + D] f26(A,B,C,D,E,J,K,L,U) -> f29(A,B,C,D,1 + E,E,K,L,U) [E >= 0 && A + -1*C >= 0 && D >= 1 + C] f29(A,B,C,D,E,J,K,L,U) -> f33(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 29 >= J] f29(A,B,C,D,E,J,K,L,U) -> f33(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && J >= 31] f29(A,B,C,D,E,J,K,L,U) -> f33(A,B,C,D,E,30,V,W,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && J = 30] f33(A,B,C,D,E,J,K,L,U) -> f42(A,B,C,D,E,J,V,L,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && K >= 0] f33(A,B,C,D,E,J,K,L,U) -> f42(A,B,C,D,E,J,V,L,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 0 >= 1 + K] f42(A,B,C,D,E,J,K,L,U) -> f68(A,B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && C >= 1 + B] f42(A,B,C,D,E,J,K,L,U) -> f68(A,B,C,D,E,J,K,0,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C] f42(A,B,C,D,E,J,K,L,U) -> f59(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && 0 >= 1 + Y] f42(A,B,C,D,E,J,K,L,U) -> f59(A,B,C,D,E,J,V,W,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && Y >= 1] f59(A,B,C,D,E,J,K,L,U) -> f59(A,B,C,D,E,J,K,L,1 + U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && J >= 0 && A >= U] f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,0,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && B >= C && L = 0] f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && 0 >= 1 + L] f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && L >= 1] f68(A,B,C,D,E,J,K,L,U) -> f74(A,B,C,D,E,J,K,0,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && A + -1*C >= 0 && J >= 0 && C >= 1 + B && L = 0] f74(A,B,C,D,E,J,K,L,U) -> f13(A,B,1 + C,C,E,J,K,L,U) [E >= 0 && A + -1*C >= 0 && C = D] f59(A,B,C,D,E,J,K,L,U) -> f42(A,-1 + B,C,D,E,J,K,L,U) [1 + -1*E + J >= 0 && -1 + E >= 0 && -1 + E + J >= 0 && -1 + E + -1*J >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && J >= 0 && U >= 1 + A] f13(A,B,C,D,E,J,K,L,U) -> f80(A,B,C,D,E,J,K,L,U) [C >= 1 + A] f0(A,B,C,D,E,J,K,L,U) -> f13(A,B,C,D,E,J,K,L,U) [B >= 1 + A] start(A,B,C,D,E,J,K,L,U) -> f0(A,B,C,D,E,J,K,L,U) True f80(A,B,C,D,E,J,K,L,U) -> exitus616(A,B,C,D,E,J,K,L,U) True Signature: {(exitus616,9) ;(f0,21) ;(f13,21) ;(f16,21) ;(f26,21) ;(f29,21) ;(f33,21) ;(f42,21) ;(f59,21) ;(f68,21) ;(f74,21) ;(f80,21) ;(start,21)} Rule Graph: [0->{0,28},1->{5,6,7},2->{4,5,6,7},3->{4,5,6,7},4->{8,10},5->{8,9,10},6->{4,5,6,7},7->{4,5,6,7},8->{25} ,9->{11,12,13},10->{11,12,13},11->{14,15},12->{14,15},13->{14,15},14->{16,17,18,19},15->{16,17,18,19} ,16->{22,23,24},17->{21},18->{20,26},19->{20,26},20->{20,26},21->{1,2,25},22->{1,2,25},23->{1,2,25},24->{1,2 ,25},25->{3,27},26->{16,17,18,19},27->{30},28->{3,27},29->{0,28}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30] | +- p:[0] c: [0] | `- p:[3,25,8,4,2,21,17,14,11,9,5,1,22,16,15,12,10,13,26,18,19,20,23,24,6,7] c: [3,6,7,8,18,19,20,25,26] | `- p:[1,21,17,14,11,9,5,2,22,16,15,12,10,4,13,23,24] c: [11,13] | `- p:[1,21,17,14,12,9,5,2,22,16,15,23,24,10,4] c: [] MAYBE