YES(?,O(1)) * Step 1: UnsatPaths WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G) -> f12(2,H,I,0,E,F,G) True (1,1) 1. f12(A,B,C,D,E,F,G) -> f15(A,B,C,D,0,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + D] (?,1) 2. f15(A,B,C,D,E,F,G) -> f15(A,B,C,D,1 + E,F,G) [E >= 0 (?,1) && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] 3. f23(A,B,C,D,E,F,G) -> f26(A,B,C,D,0,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + D] (?,1) 4. f26(A,B,C,D,E,F,G) -> f30(A,B,C,D,E,0,G) [E >= 0 (?,1) && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] 5. f30(A,B,C,D,E,F,G) -> f30(A,B,C,D,E,1 + F,G) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + F] 6. f30(A,B,C,D,E,F,G) -> f26(A,B,C,D,1 + E,F,G) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && F >= A] 7. f26(A,B,C,D,E,F,G) -> f23(A,B,C,1 + D,E,F,G) [E >= 0 (?,1) && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] 8. f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,0) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] (?,1) 9. f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 49 >= H] (?,1) 10. f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] (?,1) 11. f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 42 >= H] (?,1) 12. f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 21 >= H] (?,1) 13. f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 18 >= H] (?,1) 14. f15(A,B,C,D,E,F,G) -> f12(A,B,C,1 + D,E,F,G) [E >= 0 (?,1) && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] 15. f12(A,B,C,D,E,F,G) -> f23(A,B,C,0,E,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] (?,1) Signature: {(f0,7);(f12,7);(f15,7);(f23,7);(f26,7);(f30,7);(f52,7)} Flow Graph: [0->{1,15},1->{2,14},2->{2,14},3->{4,7},4->{5,6},5->{5,6},6->{4,7},7->{3,8,9,10,11,12,13},8->{},9->{} ,10->{},11->{},12->{},13->{},14->{1,15},15->{3,8,9,10,11,12,13}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,15) ,(1,14) ,(3,7) ,(4,6) ,(15,8) ,(15,9) ,(15,10) ,(15,11) ,(15,12) ,(15,13)] * Step 2: FromIts WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G) -> f12(2,H,I,0,E,F,G) True (1,1) 1. f12(A,B,C,D,E,F,G) -> f15(A,B,C,D,0,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + D] (?,1) 2. f15(A,B,C,D,E,F,G) -> f15(A,B,C,D,1 + E,F,G) [E >= 0 (?,1) && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] 3. f23(A,B,C,D,E,F,G) -> f26(A,B,C,D,0,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + D] (?,1) 4. f26(A,B,C,D,E,F,G) -> f30(A,B,C,D,E,0,G) [E >= 0 (?,1) && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] 5. f30(A,B,C,D,E,F,G) -> f30(A,B,C,D,E,1 + F,G) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + F] 6. f30(A,B,C,D,E,F,G) -> f26(A,B,C,D,1 + E,F,G) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && F >= A] 7. f26(A,B,C,D,E,F,G) -> f23(A,B,C,1 + D,E,F,G) [E >= 0 (?,1) && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] 8. f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,0) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] (?,1) 9. f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 49 >= H] (?,1) 10. f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] (?,1) 11. f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 42 >= H] (?,1) 12. f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 21 >= H] (?,1) 13. f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 18 >= H] (?,1) 14. f15(A,B,C,D,E,F,G) -> f12(A,B,C,1 + D,E,F,G) [E >= 0 (?,1) && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] 15. f12(A,B,C,D,E,F,G) -> f23(A,B,C,0,E,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] (?,1) Signature: {(f0,7);(f12,7);(f15,7);(f23,7);(f26,7);(f30,7);(f52,7)} Flow Graph: [0->{1},1->{2},2->{2,14},3->{4},4->{5},5->{5,6},6->{4,7},7->{3,8,9,10,11,12,13},8->{},9->{},10->{},11->{} ,12->{},13->{},14->{1,15},15->{3}] + Applied Processor: FromIts + Details: () * Step 3: Unfold WORST_CASE(?,O(1)) + Considered Problem: Rules: f0(A,B,C,D,E,F,G) -> f12(2,H,I,0,E,F,G) True f12(A,B,C,D,E,F,G) -> f15(A,B,C,D,0,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + D] f15(A,B,C,D,E,F,G) -> f15(A,B,C,D,1 + E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] f23(A,B,C,D,E,F,G) -> f26(A,B,C,D,0,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + D] f26(A,B,C,D,E,F,G) -> f30(A,B,C,D,E,0,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] f30(A,B,C,D,E,F,G) -> f30(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + F] f30(A,B,C,D,E,F,G) -> f26(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && F >= A] f26(A,B,C,D,E,F,G) -> f23(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,0) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 49 >= H] f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 42 >= H] f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 21 >= H] f23(A,B,C,D,E,F,G) -> f52(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 18 >= H] f15(A,B,C,D,E,F,G) -> f12(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f12(A,B,C,D,E,F,G) -> f23(A,B,C,0,E,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] Signature: {(f0,7);(f12,7);(f15,7);(f23,7);(f26,7);(f30,7);(f52,7)} Rule Graph: [0->{1},1->{2},2->{2,14},3->{4},4->{5},5->{5,6},6->{4,7},7->{3,8,9,10,11,12,13},8->{},9->{},10->{},11->{} ,12->{},13->{},14->{1,15},15->{3}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks WORST_CASE(?,O(1)) + Considered Problem: Rules: f0.0(A,B,C,D,E,F,G) -> f12.1(2,H,I,0,E,F,G) True f12.1(A,B,C,D,E,F,G) -> f15.2(A,B,C,D,0,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + D] f15.2(A,B,C,D,E,F,G) -> f15.2(A,B,C,D,1 + E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] f15.2(A,B,C,D,E,F,G) -> f15.14(A,B,C,D,1 + E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] f23.3(A,B,C,D,E,F,G) -> f26.4(A,B,C,D,0,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + D] f26.4(A,B,C,D,E,F,G) -> f30.5(A,B,C,D,E,0,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] f30.5(A,B,C,D,E,F,G) -> f30.5(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + F] f30.5(A,B,C,D,E,F,G) -> f30.6(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + F] f30.6(A,B,C,D,E,F,G) -> f26.4(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && F >= A] f30.6(A,B,C,D,E,F,G) -> f26.7(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && F >= A] f26.7(A,B,C,D,E,F,G) -> f23.3(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.8(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.9(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.10(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.11(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.12(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.13(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f23.8(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,0) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] f23.9(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 49 >= H] f23.10(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] f23.11(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 42 >= H] f23.12(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 21 >= H] f23.13(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 18 >= H] f15.14(A,B,C,D,E,F,G) -> f12.1(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f15.14(A,B,C,D,E,F,G) -> f12.15(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f12.15(A,B,C,D,E,F,G) -> f23.3(A,B,C,0,E,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] Signature: {(f0.0,7) ;(f12.1,7) ;(f12.15,7) ;(f15.14,7) ;(f15.2,7) ;(f23.10,7) ;(f23.11,7) ;(f23.12,7) ;(f23.13,7) ;(f23.3,7) ;(f23.8,7) ;(f23.9,7) ;(f26.4,7) ;(f26.7,7) ;(f30.5,7) ;(f30.6,7) ;(f52.16,7)} Rule Graph: [0->{1},1->{2,3},2->{2,3},3->{23,24},4->{5},5->{6,7},6->{6,7},7->{8,9},8->{5},9->{10,11,12,13,14,15,16} ,10->{4},11->{17},12->{18},13->{19},14->{20},15->{21},16->{22},17->{},18->{},19->{},20->{},21->{},22->{} ,23->{1},24->{25},25->{4}] + Applied Processor: AddSinks + Details: () * Step 5: Decompose WORST_CASE(?,O(1)) + Considered Problem: Rules: f0.0(A,B,C,D,E,F,G) -> f12.1(2,H,I,0,E,F,G) True f12.1(A,B,C,D,E,F,G) -> f15.2(A,B,C,D,0,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + D] f15.2(A,B,C,D,E,F,G) -> f15.2(A,B,C,D,1 + E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] f15.2(A,B,C,D,E,F,G) -> f15.14(A,B,C,D,1 + E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] f23.3(A,B,C,D,E,F,G) -> f26.4(A,B,C,D,0,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + D] f26.4(A,B,C,D,E,F,G) -> f30.5(A,B,C,D,E,0,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] f30.5(A,B,C,D,E,F,G) -> f30.5(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + F] f30.5(A,B,C,D,E,F,G) -> f30.6(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + F] f30.6(A,B,C,D,E,F,G) -> f26.4(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && F >= A] f30.6(A,B,C,D,E,F,G) -> f26.7(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && F >= A] f26.7(A,B,C,D,E,F,G) -> f23.3(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.8(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.9(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.10(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.11(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.12(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.13(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f23.8(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,0) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] f23.9(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 49 >= H] f23.10(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] f23.11(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 42 >= H] f23.12(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 21 >= H] f23.13(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 18 >= H] f15.14(A,B,C,D,E,F,G) -> f12.1(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f15.14(A,B,C,D,E,F,G) -> f12.15(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f12.15(A,B,C,D,E,F,G) -> f23.3(A,B,C,0,E,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] f52.16(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f52.16(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f52.16(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f52.16(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f52.16(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f52.16(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True Signature: {(exitus616,7) ;(f0.0,7) ;(f12.1,7) ;(f12.15,7) ;(f15.14,7) ;(f15.2,7) ;(f23.10,7) ;(f23.11,7) ;(f23.12,7) ;(f23.13,7) ;(f23.3,7) ;(f23.8,7) ;(f23.9,7) ;(f26.4,7) ;(f26.7,7) ;(f30.5,7) ;(f30.6,7) ;(f52.16,7)} Rule Graph: [0->{1},1->{2,3},2->{2,3},3->{23,24},4->{5},5->{6,7},6->{6,7},7->{8,9},8->{5},9->{10,11,12,13,14,15,16} ,10->{4},11->{17},12->{18},13->{19},14->{20},15->{21},16->{22},17->{31},18->{30},19->{29},20->{28},21->{27} ,22->{26},23->{1},24->{25},25->{4}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31] | +- p:[1,23,3,2] c: [1,3,23] | | | `- p:[2] c: [2] | `- p:[4,10,9,7,5,8,6] c: [4,9,10] | `- p:[5,8,7,6] c: [5,7,8] | `- p:[6] c: [6] * Step 6: AbstractSize WORST_CASE(?,O(1)) + Considered Problem: (Rules: f0.0(A,B,C,D,E,F,G) -> f12.1(2,H,I,0,E,F,G) True f12.1(A,B,C,D,E,F,G) -> f15.2(A,B,C,D,0,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + D] f15.2(A,B,C,D,E,F,G) -> f15.2(A,B,C,D,1 + E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] f15.2(A,B,C,D,E,F,G) -> f15.14(A,B,C,D,1 + E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] f23.3(A,B,C,D,E,F,G) -> f26.4(A,B,C,D,0,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + D] f26.4(A,B,C,D,E,F,G) -> f30.5(A,B,C,D,E,0,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + E] f30.5(A,B,C,D,E,F,G) -> f30.5(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + F] f30.5(A,B,C,D,E,F,G) -> f30.6(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && A >= 1 + F] f30.6(A,B,C,D,E,F,G) -> f26.4(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && F >= A] f30.6(A,B,C,D,E,F,G) -> f26.7(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && D + F >= 0 && -2 + A + F >= 0 && 2 + -1*A + F >= 0 && E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && F >= A] f26.7(A,B,C,D,E,F,G) -> f23.3(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.8(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.9(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.10(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.11(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.12(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f26.7(A,B,C,D,E,F,G) -> f23.13(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f23.8(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,0) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] f23.9(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 49 >= H] f23.10(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] f23.11(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 42 >= H] f23.12(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 21 >= H] f23.13(A,B,C,D,E,F,G) -> f52.16(A,B,C,D,E,F,1) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A && 18 >= H] f15.14(A,B,C,D,E,F,G) -> f12.1(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f15.14(A,B,C,D,E,F,G) -> f12.15(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && -2 + A + E >= 0 && 2 + -1*A + E >= 0 && D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && E >= A] f12.15(A,B,C,D,E,F,G) -> f23.3(A,B,C,0,E,F,G) [D >= 0 && -2 + A + D >= 0 && 2 + -1*A + D >= 0 && 2 + -1*A >= 0 && -2 + A >= 0 && D >= A] f52.16(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f52.16(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f52.16(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f52.16(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f52.16(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f52.16(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True Signature: {(exitus616,7) ;(f0.0,7) ;(f12.1,7) ;(f12.15,7) ;(f15.14,7) ;(f15.2,7) ;(f23.10,7) ;(f23.11,7) ;(f23.12,7) ;(f23.13,7) ;(f23.3,7) ;(f23.8,7) ;(f23.9,7) ;(f26.4,7) ;(f26.7,7) ;(f30.5,7) ;(f30.6,7) ;(f52.16,7)} Rule Graph: [0->{1},1->{2,3},2->{2,3},3->{23,24},4->{5},5->{6,7},6->{6,7},7->{8,9},8->{5},9->{10,11,12,13,14,15,16} ,10->{4},11->{17},12->{18},13->{19},14->{20},15->{21},16->{22},17->{31},18->{30},19->{29},20->{28},21->{27} ,22->{26},23->{1},24->{25},25->{4}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31] | +- p:[1,23,3,2] c: [1,3,23] | | | `- p:[2] c: [2] | `- p:[4,10,9,7,5,8,6] c: [4,9,10] | `- p:[5,8,7,6] c: [5,7,8] | `- p:[6] c: [6]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow WORST_CASE(?,O(1)) + Considered Problem: Program: Domain: [A,B,C,D,E,F,G,0.0,0.0.0,0.1,0.1.0,0.1.0.0] f0.0 ~> f12.1 [A <= 2*K, B <= unknown, C <= unknown, D <= 0*K, E <= E, F <= F, G <= G] f12.1 ~> f15.2 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= G] f15.2 ~> f15.2 [A <= A, B <= B, C <= C, D <= D, E <= 2*K, F <= F, G <= G] f15.2 ~> f15.14 [A <= A, B <= B, C <= C, D <= D, E <= 2*K, F <= F, G <= G] f23.3 ~> f26.4 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= G] f26.4 ~> f30.5 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 0*K, G <= G] f30.5 ~> f30.5 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 2*K, G <= G] f30.5 ~> f30.6 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 2*K, G <= G] f30.6 ~> f26.4 [A <= A, B <= B, C <= C, D <= D, E <= E + F, F <= F, G <= G] f30.6 ~> f26.7 [A <= A, B <= B, C <= C, D <= D, E <= E + F, F <= F, G <= G] f26.7 ~> f23.3 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f26.7 ~> f23.8 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f26.7 ~> f23.9 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f26.7 ~> f23.10 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f26.7 ~> f23.11 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f26.7 ~> f23.12 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f26.7 ~> f23.13 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f23.8 ~> f52.16 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= 0*K] f23.9 ~> f52.16 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= K] f23.10 ~> f52.16 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= K] f23.11 ~> f52.16 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= K] f23.12 ~> f52.16 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= K] f23.13 ~> f52.16 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= K] f15.14 ~> f12.1 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f15.14 ~> f12.15 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f12.15 ~> f23.3 [A <= A, B <= B, C <= C, D <= 0*K, E <= E, F <= F, G <= G] f52.16 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f52.16 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f52.16 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f52.16 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f52.16 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f52.16 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] + Loop: [0.0 <= K + A + D] f12.1 ~> f15.2 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= G] f15.14 ~> f12.1 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f15.2 ~> f15.14 [A <= A, B <= B, C <= C, D <= D, E <= 2*K, F <= F, G <= G] f15.2 ~> f15.2 [A <= A, B <= B, C <= C, D <= D, E <= 2*K, F <= F, G <= G] + Loop: [0.0.0 <= K + A + E] f15.2 ~> f15.2 [A <= A, B <= B, C <= C, D <= D, E <= 2*K, F <= F, G <= G] + Loop: [0.1 <= K + D] f23.3 ~> f26.4 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= G] f26.7 ~> f23.3 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f30.6 ~> f26.7 [A <= A, B <= B, C <= C, D <= D, E <= E + F, F <= F, G <= G] f30.5 ~> f30.6 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 2*K, G <= G] f26.4 ~> f30.5 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 0*K, G <= G] f30.6 ~> f26.4 [A <= A, B <= B, C <= C, D <= D, E <= E + F, F <= F, G <= G] f30.5 ~> f30.5 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 2*K, G <= G] + Loop: [0.1.0 <= K + A + E] f26.4 ~> f30.5 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 0*K, G <= G] f30.6 ~> f26.4 [A <= A, B <= B, C <= C, D <= D, E <= E + F, F <= F, G <= G] f30.5 ~> f30.6 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 2*K, G <= G] f30.5 ~> f30.5 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 2*K, G <= G] + Loop: [0.1.0.0 <= K + A + F] f30.5 ~> f30.5 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 2*K, G <= G] + Applied Processor: AbstractFlow + Details: () * Step 8: Lare WORST_CASE(?,O(1)) + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,D,E,F,G,0.0,0.0.0,0.1,0.1.0,0.1.0.0] f0.0 ~> f12.1 [K ~=> A,K ~=> D,huge ~=> B,huge ~=> C] f12.1 ~> f15.2 [K ~=> E] f15.2 ~> f15.2 [K ~=> E] f15.2 ~> f15.14 [K ~=> E] f23.3 ~> f26.4 [K ~=> E] f26.4 ~> f30.5 [K ~=> F] f30.5 ~> f30.5 [K ~=> F] f30.5 ~> f30.6 [K ~=> F] f30.6 ~> f26.4 [E ~+> E,F ~+> E] f30.6 ~> f26.7 [E ~+> E,F ~+> E] f26.7 ~> f23.3 [D ~+> D,E ~+> D] f26.7 ~> f23.8 [D ~+> D,E ~+> D] f26.7 ~> f23.9 [D ~+> D,E ~+> D] f26.7 ~> f23.10 [D ~+> D,E ~+> D] f26.7 ~> f23.11 [D ~+> D,E ~+> D] f26.7 ~> f23.12 [D ~+> D,E ~+> D] f26.7 ~> f23.13 [D ~+> D,E ~+> D] f23.8 ~> f52.16 [K ~=> G] f23.9 ~> f52.16 [K ~=> G] f23.10 ~> f52.16 [K ~=> G] f23.11 ~> f52.16 [K ~=> G] f23.12 ~> f52.16 [K ~=> G] f23.13 ~> f52.16 [K ~=> G] f15.14 ~> f12.1 [D ~+> D,E ~+> D] f15.14 ~> f12.15 [D ~+> D,E ~+> D] f12.15 ~> f23.3 [K ~=> D] f52.16 ~> exitus616 [] f52.16 ~> exitus616 [] f52.16 ~> exitus616 [] f52.16 ~> exitus616 [] f52.16 ~> exitus616 [] f52.16 ~> exitus616 [] + Loop: [A ~+> 0.0,D ~+> 0.0,K ~+> 0.0] f12.1 ~> f15.2 [K ~=> E] f15.14 ~> f12.1 [D ~+> D,E ~+> D] f15.2 ~> f15.14 [K ~=> E] f15.2 ~> f15.2 [K ~=> E] + Loop: [A ~+> 0.0.0,E ~+> 0.0.0,K ~+> 0.0.0] f15.2 ~> f15.2 [K ~=> E] + Loop: [D ~+> 0.1,K ~+> 0.1] f23.3 ~> f26.4 [K ~=> E] f26.7 ~> f23.3 [D ~+> D,E ~+> D] f30.6 ~> f26.7 [E ~+> E,F ~+> E] f30.5 ~> f30.6 [K ~=> F] f26.4 ~> f30.5 [K ~=> F] f30.6 ~> f26.4 [E ~+> E,F ~+> E] f30.5 ~> f30.5 [K ~=> F] + Loop: [A ~+> 0.1.0,E ~+> 0.1.0,K ~+> 0.1.0] f26.4 ~> f30.5 [K ~=> F] f30.6 ~> f26.4 [E ~+> E,F ~+> E] f30.5 ~> f30.6 [K ~=> F] f30.5 ~> f30.5 [K ~=> F] + Loop: [A ~+> 0.1.0.0,F ~+> 0.1.0.0,K ~+> 0.1.0.0] f30.5 ~> f30.5 [K ~=> F] + Applied Processor: Lare + Details: f0.0 ~> exitus616 [K ~=> A ,K ~=> E ,K ~=> F ,K ~=> G ,huge ~=> B ,huge ~=> C ,E ~+> D ,F ~+> D ,F ~+> E ,tick ~+> tick ,K ~+> D ,K ~+> E ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> 0.1 ,K ~+> 0.1.0 ,K ~+> 0.1.0.0 ,K ~+> tick ,F ~*> D ,K ~*> D ,K ~*> E ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> 0.1 ,K ~*> 0.1.0 ,K ~*> 0.1.0.0 ,K ~*> tick] + f15.14> [K ~=> E ,A ~+> 0.0 ,A ~+> 0.0.0 ,A ~+> tick ,D ~+> D ,D ~+> 0.0 ,D ~+> tick ,E ~+> D ,tick ~+> tick ,K ~+> D ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> tick ,A ~*> D ,A ~*> tick ,D ~*> D ,D ~*> tick ,K ~*> D ,K ~*> 0.0.0 ,K ~*> tick] + f15.2> [K ~=> E ,A ~+> 0.0.0 ,A ~+> tick ,E ~+> 0.0.0 ,E ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick] + f26.7> [K ~=> F ,A ~+> 0.1.0 ,A ~+> 0.1.0.0 ,A ~+> tick ,D ~+> D ,D ~+> 0.1 ,D ~+> tick ,F ~+> D ,F ~+> E ,tick ~+> tick ,K ~+> D ,K ~+> E ,K ~+> 0.1 ,K ~+> 0.1.0 ,K ~+> 0.1.0.0 ,K ~+> tick ,A ~*> D ,A ~*> E ,A ~*> tick ,D ~*> D ,D ~*> tick ,F ~*> D ,K ~*> D ,K ~*> E ,K ~*> 0.1.0 ,K ~*> 0.1.0.0 ,K ~*> tick] + f30.6> [K ~=> F ,A ~+> 0.1.0 ,A ~+> 0.1.0.0 ,A ~+> tick ,E ~+> E ,E ~+> 0.1.0 ,E ~+> tick ,F ~+> E ,tick ~+> tick ,K ~+> E ,K ~+> 0.1.0 ,K ~+> 0.1.0.0 ,K ~+> tick ,A ~*> E ,A ~*> tick ,E ~*> E ,E ~*> tick ,K ~*> E ,K ~*> 0.1.0.0 ,K ~*> tick] + f30.5> [K ~=> F ,A ~+> 0.1.0.0 ,A ~+> tick ,F ~+> 0.1.0.0 ,F ~+> tick ,tick ~+> tick ,K ~+> 0.1.0.0 ,K ~+> tick] YES(?,O(1))