YES(?,O(1)) * Step 1: UnsatPaths WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G) -> f43(5,11,0,0,E,F,G) True (1,1) 1. f43(A,B,C,D,E,F,G) -> f43(A,B,C,1 + C,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && C = D] 2. f43(A,B,C,D,E,F,G) -> f51(A,B,C,0,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] 3. f43(A,B,C,D,E,F,G) -> f43(A,B,C,1 + D,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && D >= 1 + C] 4. f51(A,B,C,D,E,F,G) -> f65(A,B,C,0,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] 5. f51(A,B,C,D,E,F,G) -> f54(A,B,C,D,0,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] 6. f65(A,B,C,D,E,F,G) -> f75(A,B,C,0,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= B] 7. f65(A,B,C,D,E,F,G) -> f65(A,B,C,1 + D,E,H,I) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] 8. f65(A,B,C,D,E,F,G) -> f71(A,B,C,D,E,H,I) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] 9. f54(A,B,C,D,E,F,G) -> f51(A,B,C,1 + D,E,F,G) [E >= 0 (?,1) && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && E >= B] 10. f54(A,B,C,D,E,F,G) -> f54(A,B,C,D,1 + E,H,I) [E >= 0 (?,1) && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + E] 11. f75(A,B,C,D,E,F,G) -> f71(A,B,C,D,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] 12. f75(A,B,C,D,E,F,G) -> f75(A,B,C,1 + D,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] Signature: {(f0,7);(f43,7);(f51,7);(f54,7);(f65,7);(f71,7);(f75,7)} Flow Graph: [0->{1,2,3},1->{1,2,3},2->{4,5},3->{1,2,3},4->{6,7,8},5->{9,10},6->{11,12},7->{6,7,8},8->{},9->{4,5} ,10->{9,10},11->{},12->{11,12}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,2) ,(0,3) ,(1,1) ,(1,2) ,(2,4) ,(3,1) ,(4,6) ,(5,9) ,(6,11)] * Step 2: FromIts WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G) -> f43(5,11,0,0,E,F,G) True (1,1) 1. f43(A,B,C,D,E,F,G) -> f43(A,B,C,1 + C,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && C = D] 2. f43(A,B,C,D,E,F,G) -> f51(A,B,C,0,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] 3. f43(A,B,C,D,E,F,G) -> f43(A,B,C,1 + D,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && D >= 1 + C] 4. f51(A,B,C,D,E,F,G) -> f65(A,B,C,0,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] 5. f51(A,B,C,D,E,F,G) -> f54(A,B,C,D,0,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] 6. f65(A,B,C,D,E,F,G) -> f75(A,B,C,0,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= B] 7. f65(A,B,C,D,E,F,G) -> f65(A,B,C,1 + D,E,H,I) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] 8. f65(A,B,C,D,E,F,G) -> f71(A,B,C,D,E,H,I) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] 9. f54(A,B,C,D,E,F,G) -> f51(A,B,C,1 + D,E,F,G) [E >= 0 (?,1) && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && E >= B] 10. f54(A,B,C,D,E,F,G) -> f54(A,B,C,D,1 + E,H,I) [E >= 0 (?,1) && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + E] 11. f75(A,B,C,D,E,F,G) -> f71(A,B,C,D,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] 12. f75(A,B,C,D,E,F,G) -> f75(A,B,C,1 + D,E,F,G) [D >= 0 (?,1) && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] Signature: {(f0,7);(f43,7);(f51,7);(f54,7);(f65,7);(f71,7);(f75,7)} Flow Graph: [0->{1},1->{3},2->{5},3->{2,3},4->{7,8},5->{10},6->{12},7->{6,7,8},8->{},9->{4,5},10->{9,10},11->{} ,12->{11,12}] + Applied Processor: FromIts + Details: () * Step 3: Unfold WORST_CASE(?,O(1)) + Considered Problem: Rules: f0(A,B,C,D,E,F,G) -> f43(5,11,0,0,E,F,G) True f43(A,B,C,D,E,F,G) -> f43(A,B,C,1 + C,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && C = D] f43(A,B,C,D,E,F,G) -> f51(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f43(A,B,C,D,E,F,G) -> f43(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && D >= 1 + C] f51(A,B,C,D,E,F,G) -> f65(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f51(A,B,C,D,E,F,G) -> f54(A,B,C,D,0,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] f65(A,B,C,D,E,F,G) -> f75(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= B] f65(A,B,C,D,E,F,G) -> f65(A,B,C,1 + D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f65(A,B,C,D,E,F,G) -> f71(A,B,C,D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f54(A,B,C,D,E,F,G) -> f51(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && E >= B] f54(A,B,C,D,E,F,G) -> f54(A,B,C,D,1 + E,H,I) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + E] f75(A,B,C,D,E,F,G) -> f71(A,B,C,D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f75(A,B,C,D,E,F,G) -> f75(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] Signature: {(f0,7);(f43,7);(f51,7);(f54,7);(f65,7);(f71,7);(f75,7)} Rule Graph: [0->{1},1->{3},2->{5},3->{2,3},4->{7,8},5->{10},6->{12},7->{6,7,8},8->{},9->{4,5},10->{9,10},11->{} ,12->{11,12}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks WORST_CASE(?,O(1)) + Considered Problem: Rules: f0.0(A,B,C,D,E,F,G) -> f43.1(5,11,0,0,E,F,G) True f43.1(A,B,C,D,E,F,G) -> f43.3(A,B,C,1 + C,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && C = D] f43.2(A,B,C,D,E,F,G) -> f51.5(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f43.3(A,B,C,D,E,F,G) -> f43.2(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && D >= 1 + C] f43.3(A,B,C,D,E,F,G) -> f43.3(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && D >= 1 + C] f51.4(A,B,C,D,E,F,G) -> f65.7(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f51.4(A,B,C,D,E,F,G) -> f65.8(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f51.5(A,B,C,D,E,F,G) -> f54.10(A,B,C,D,0,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] f65.6(A,B,C,D,E,F,G) -> f75.12(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= B] f65.7(A,B,C,D,E,F,G) -> f65.6(A,B,C,1 + D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f65.7(A,B,C,D,E,F,G) -> f65.7(A,B,C,1 + D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f65.7(A,B,C,D,E,F,G) -> f65.8(A,B,C,1 + D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f65.8(A,B,C,D,E,F,G) -> f71.13(A,B,C,D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f54.9(A,B,C,D,E,F,G) -> f51.4(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && E >= B] f54.9(A,B,C,D,E,F,G) -> f51.5(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && E >= B] f54.10(A,B,C,D,E,F,G) -> f54.9(A,B,C,D,1 + E,H,I) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + E] f54.10(A,B,C,D,E,F,G) -> f54.10(A,B,C,D,1 + E,H,I) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + E] f75.11(A,B,C,D,E,F,G) -> f71.13(A,B,C,D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f75.12(A,B,C,D,E,F,G) -> f75.11(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] f75.12(A,B,C,D,E,F,G) -> f75.12(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] Signature: {(f0.0,7) ;(f43.1,7) ;(f43.2,7) ;(f43.3,7) ;(f51.4,7) ;(f51.5,7) ;(f54.10,7) ;(f54.9,7) ;(f65.6,7) ;(f65.7,7) ;(f65.8,7) ;(f71.13,7) ;(f75.11,7) ;(f75.12,7)} Rule Graph: [0->{1},1->{3,4},2->{7},3->{2},4->{3,4},5->{9,10,11},6->{12},7->{15,16},8->{18,19},9->{8},10->{9,10,11} ,11->{12},12->{},13->{5,6},14->{7},15->{13,14},16->{15,16},17->{},18->{17},19->{18,19}] + Applied Processor: AddSinks + Details: () * Step 5: Decompose WORST_CASE(?,O(1)) + Considered Problem: Rules: f0.0(A,B,C,D,E,F,G) -> f43.1(5,11,0,0,E,F,G) True f43.1(A,B,C,D,E,F,G) -> f43.3(A,B,C,1 + C,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && C = D] f43.2(A,B,C,D,E,F,G) -> f51.5(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f43.3(A,B,C,D,E,F,G) -> f43.2(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && D >= 1 + C] f43.3(A,B,C,D,E,F,G) -> f43.3(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && D >= 1 + C] f51.4(A,B,C,D,E,F,G) -> f65.7(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f51.4(A,B,C,D,E,F,G) -> f65.8(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f51.5(A,B,C,D,E,F,G) -> f54.10(A,B,C,D,0,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] f65.6(A,B,C,D,E,F,G) -> f75.12(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= B] f65.7(A,B,C,D,E,F,G) -> f65.6(A,B,C,1 + D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f65.7(A,B,C,D,E,F,G) -> f65.7(A,B,C,1 + D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f65.7(A,B,C,D,E,F,G) -> f65.8(A,B,C,1 + D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f65.8(A,B,C,D,E,F,G) -> f71.13(A,B,C,D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f54.9(A,B,C,D,E,F,G) -> f51.4(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && E >= B] f54.9(A,B,C,D,E,F,G) -> f51.5(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && E >= B] f54.10(A,B,C,D,E,F,G) -> f54.9(A,B,C,D,1 + E,H,I) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + E] f54.10(A,B,C,D,E,F,G) -> f54.10(A,B,C,D,1 + E,H,I) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + E] f75.11(A,B,C,D,E,F,G) -> f71.13(A,B,C,D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f75.12(A,B,C,D,E,F,G) -> f75.11(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] f75.12(A,B,C,D,E,F,G) -> f75.12(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] f71.13(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f71.13(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f71.13(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True Signature: {(exitus616,7) ;(f0.0,7) ;(f43.1,7) ;(f43.2,7) ;(f43.3,7) ;(f51.4,7) ;(f51.5,7) ;(f54.10,7) ;(f54.9,7) ;(f65.6,7) ;(f65.7,7) ;(f65.8,7) ;(f71.13,7) ;(f75.11,7) ;(f75.12,7)} Rule Graph: [0->{1},1->{3,4},2->{7},3->{2},4->{3,4},5->{9,10,11},6->{12},7->{15,16},8->{18,19},9->{8},10->{9,10,11} ,11->{12},12->{20,21},13->{5,6},14->{7},15->{13,14},16->{15,16},17->{22},18->{17},19->{18,19}] + 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] | +- p:[4] c: [4] | +- p:[7,14,15,16] c: [7,14,15] | | | `- p:[16] c: [16] | +- p:[10] c: [10] | `- p:[19] c: [19] * Step 6: AbstractSize WORST_CASE(?,O(1)) + Considered Problem: (Rules: f0.0(A,B,C,D,E,F,G) -> f43.1(5,11,0,0,E,F,G) True f43.1(A,B,C,D,E,F,G) -> f43.3(A,B,C,1 + C,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && C = D] f43.2(A,B,C,D,E,F,G) -> f51.5(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f43.3(A,B,C,D,E,F,G) -> f43.2(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && D >= 1 + C] f43.3(A,B,C,D,E,F,G) -> f43.3(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D && D >= 1 + C] f51.4(A,B,C,D,E,F,G) -> f65.7(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f51.4(A,B,C,D,E,F,G) -> f65.8(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f51.5(A,B,C,D,E,F,G) -> f54.10(A,B,C,D,0,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] f65.6(A,B,C,D,E,F,G) -> f75.12(A,B,C,0,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= B] f65.7(A,B,C,D,E,F,G) -> f65.6(A,B,C,1 + D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f65.7(A,B,C,D,E,F,G) -> f65.7(A,B,C,1 + D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f65.7(A,B,C,D,E,F,G) -> f65.8(A,B,C,1 + D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f65.8(A,B,C,D,E,F,G) -> f71.13(A,B,C,D,E,H,I) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + D] f54.9(A,B,C,D,E,F,G) -> f51.4(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && E >= B] f54.9(A,B,C,D,E,F,G) -> f51.5(A,B,C,1 + D,E,F,G) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && E >= B] f54.10(A,B,C,D,E,F,G) -> f54.9(A,B,C,D,1 + E,H,I) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + E] f54.10(A,B,C,D,E,F,G) -> f54.10(A,B,C,D,1 + E,H,I) [E >= 0 && D + E >= 0 && C + E >= 0 && -1*C + E >= 0 && -11 + B + E >= 0 && 11 + -1*B + E >= 0 && -5 + A + E >= 0 && 5 + -1*A + E >= 0 && D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && B >= 1 + E] f75.11(A,B,C,D,E,F,G) -> f71.13(A,B,C,D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && D >= A] f75.12(A,B,C,D,E,F,G) -> f75.11(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] f75.12(A,B,C,D,E,F,G) -> f75.12(A,B,C,1 + D,E,F,G) [D >= 0 && C + D >= 0 && -1*C + D >= 0 && -11 + B + D >= 0 && 11 + -1*B + D >= 0 && -5 + A + D >= 0 && 5 + -1*A + D >= 0 && -1*C >= 0 && -11 + B + -1*C >= 0 && 11 + -1*B + -1*C >= 0 && -5 + A + -1*C >= 0 && 5 + -1*A + -1*C >= 0 && C >= 0 && -11 + B + C >= 0 && 11 + -1*B + C >= 0 && -5 + A + C >= 0 && 5 + -1*A + C >= 0 && 11 + -1*B >= 0 && 6 + A + -1*B >= 0 && 16 + -1*A + -1*B >= 0 && -11 + B >= 0 && -16 + A + B >= 0 && -6 + -1*A + B >= 0 && 5 + -1*A >= 0 && -5 + A >= 0 && A >= 1 + D] f71.13(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f71.13(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f71.13(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True Signature: {(exitus616,7) ;(f0.0,7) ;(f43.1,7) ;(f43.2,7) ;(f43.3,7) ;(f51.4,7) ;(f51.5,7) ;(f54.10,7) ;(f54.9,7) ;(f65.6,7) ;(f65.7,7) ;(f65.8,7) ;(f71.13,7) ;(f75.11,7) ;(f75.12,7)} Rule Graph: [0->{1},1->{3,4},2->{7},3->{2},4->{3,4},5->{9,10,11},6->{12},7->{15,16},8->{18,19},9->{8},10->{9,10,11} ,11->{12},12->{20,21},13->{5,6},14->{7},15->{13,14},16->{15,16},17->{22},18->{17},19->{18,19}] ,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] | +- p:[4] c: [4] | +- p:[7,14,15,16] c: [7,14,15] | | | `- p:[16] c: [16] | +- p:[10] c: [10] | `- p:[19] c: [19]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow WORST_CASE(?,O(1)) + Considered Problem: Program: Domain: [A,B,C,D,E,F,G,0.0,0.1,0.1.0,0.2,0.3] f0.0 ~> f43.1 [A <= 5*K, B <= 11*K, C <= 0*K, D <= 0*K, E <= E, F <= F, G <= G] f43.1 ~> f43.3 [A <= A, B <= B, C <= C, D <= K, E <= E, F <= F, G <= G] f43.2 ~> f51.5 [A <= A, B <= B, C <= C, D <= 0*K, E <= E, F <= F, G <= G] f43.3 ~> f43.2 [A <= A, B <= B, C <= C, D <= 5*K, E <= E, F <= F, G <= G] f43.3 ~> f43.3 [A <= A, B <= B, C <= C, D <= 5*K, E <= E, F <= F, G <= G] f51.4 ~> f65.7 [A <= A, B <= B, C <= C, D <= 0*K, E <= E, F <= F, G <= G] f51.4 ~> f65.8 [A <= A, B <= B, C <= C, D <= 0*K, E <= E, F <= F, G <= G] f51.5 ~> f54.10 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= G] f65.6 ~> f75.12 [A <= A, B <= B, C <= C, D <= 0*K, E <= E, F <= F, G <= G] f65.7 ~> f65.6 [A <= A, B <= B, C <= C, D <= 11*K, E <= E, F <= unknown, G <= unknown] f65.7 ~> f65.7 [A <= A, B <= B, C <= C, D <= 11*K, E <= E, F <= unknown, G <= unknown] f65.7 ~> f65.8 [A <= A, B <= B, C <= C, D <= 11*K, E <= E, F <= unknown, G <= unknown] f65.8 ~> f71.13 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= unknown, G <= unknown] f54.9 ~> f51.4 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f54.9 ~> f51.5 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f54.10 ~> f54.9 [A <= A, B <= B, C <= C, D <= D, E <= 11*K, F <= unknown, G <= unknown] f54.10 ~> f54.10 [A <= A, B <= B, C <= C, D <= D, E <= 11*K, F <= unknown, G <= unknown] f75.11 ~> f71.13 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f75.12 ~> f75.11 [A <= A, B <= B, C <= C, D <= 5*K, E <= E, F <= F, G <= G] f75.12 ~> f75.12 [A <= A, B <= B, C <= C, D <= 5*K, E <= E, F <= F, G <= G] f71.13 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f71.13 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f71.13 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] + Loop: [0.0 <= K + A + D] f43.3 ~> f43.3 [A <= A, B <= B, C <= C, D <= 5*K, E <= E, F <= F, G <= G] + Loop: [0.1 <= K + A + D] f51.5 ~> f54.10 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= G] f54.9 ~> f51.5 [A <= A, B <= B, C <= C, D <= D + E, E <= E, F <= F, G <= G] f54.10 ~> f54.9 [A <= A, B <= B, C <= C, D <= D, E <= 11*K, F <= unknown, G <= unknown] f54.10 ~> f54.10 [A <= A, B <= B, C <= C, D <= D, E <= 11*K, F <= unknown, G <= unknown] + Loop: [0.1.0 <= K + B + E] f54.10 ~> f54.10 [A <= A, B <= B, C <= C, D <= D, E <= 11*K, F <= unknown, G <= unknown] + Loop: [0.2 <= K + B + D] f65.7 ~> f65.7 [A <= A, B <= B, C <= C, D <= 11*K, E <= E, F <= unknown, G <= unknown] + Loop: [0.3 <= K + A + D] f75.12 ~> f75.12 [A <= A, B <= B, C <= C, D <= 5*K, E <= E, F <= F, 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,0.0,0.1,0.1.0,0.2,0.3] f0.0 ~> f43.1 [K ~=> A,K ~=> B,K ~=> C,K ~=> D] f43.1 ~> f43.3 [K ~=> D] f43.2 ~> f51.5 [K ~=> D] f43.3 ~> f43.2 [K ~=> D] f43.3 ~> f43.3 [K ~=> D] f51.4 ~> f65.7 [K ~=> D] f51.4 ~> f65.8 [K ~=> D] f51.5 ~> f54.10 [K ~=> E] f65.6 ~> f75.12 [K ~=> D] f65.7 ~> f65.6 [K ~=> D,huge ~=> F,huge ~=> G] f65.7 ~> f65.7 [K ~=> D,huge ~=> F,huge ~=> G] f65.7 ~> f65.8 [K ~=> D,huge ~=> F,huge ~=> G] f65.8 ~> f71.13 [huge ~=> F,huge ~=> G] f54.9 ~> f51.4 [D ~+> D,E ~+> D] f54.9 ~> f51.5 [D ~+> D,E ~+> D] f54.10 ~> f54.9 [K ~=> E,huge ~=> F,huge ~=> G] f54.10 ~> f54.10 [K ~=> E,huge ~=> F,huge ~=> G] f75.11 ~> f71.13 [] f75.12 ~> f75.11 [K ~=> D] f75.12 ~> f75.12 [K ~=> D] f71.13 ~> exitus616 [] f71.13 ~> exitus616 [] f71.13 ~> exitus616 [] + Loop: [A ~+> 0.0,D ~+> 0.0,K ~+> 0.0] f43.3 ~> f43.3 [K ~=> D] + Loop: [A ~+> 0.1,D ~+> 0.1,K ~+> 0.1] f51.5 ~> f54.10 [K ~=> E] f54.9 ~> f51.5 [D ~+> D,E ~+> D] f54.10 ~> f54.9 [K ~=> E,huge ~=> F,huge ~=> G] f54.10 ~> f54.10 [K ~=> E,huge ~=> F,huge ~=> G] + Loop: [B ~+> 0.1.0,E ~+> 0.1.0,K ~+> 0.1.0] f54.10 ~> f54.10 [K ~=> E,huge ~=> F,huge ~=> G] + Loop: [B ~+> 0.2,D ~+> 0.2,K ~+> 0.2] f65.7 ~> f65.7 [K ~=> D,huge ~=> F,huge ~=> G] + Loop: [A ~+> 0.3,D ~+> 0.3,K ~+> 0.3] f75.12 ~> f75.12 [K ~=> D] + Applied Processor: Lare + Details: f0.0 ~> exitus616 [K ~=> A ,K ~=> B ,K ~=> C ,K ~=> D ,K ~=> E ,huge ~=> F ,huge ~=> G ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.1 ,K ~+> 0.1.0 ,K ~+> 0.2 ,K ~+> 0.3 ,K ~+> tick ,K ~*> 0.0 ,K ~*> 0.1 ,K ~*> 0.1.0 ,K ~*> 0.2 ,K ~*> 0.3 ,K ~*> tick] + f43.3> [K ~=> D,A ~+> 0.0,A ~+> tick,D ~+> 0.0,D ~+> tick,tick ~+> tick,K ~+> 0.0,K ~+> tick] + f54.9> [K ~=> E ,huge ~=> F ,huge ~=> G ,A ~+> 0.1 ,A ~+> tick ,B ~+> 0.1.0 ,B ~+> tick ,D ~+> D ,D ~+> 0.1 ,D ~+> tick ,E ~+> D ,tick ~+> tick ,K ~+> D ,K ~+> 0.1 ,K ~+> 0.1.0 ,K ~+> tick ,A ~*> D ,A ~*> tick ,B ~*> tick ,D ~*> D ,D ~*> tick ,K ~*> D ,K ~*> 0.1.0 ,K ~*> tick] + f54.10> [K ~=> E ,huge ~=> F ,huge ~=> G ,B ~+> 0.1.0 ,B ~+> tick ,E ~+> 0.1.0 ,E ~+> tick ,tick ~+> tick ,K ~+> 0.1.0 ,K ~+> tick] + f65.7> [K ~=> D ,huge ~=> F ,huge ~=> G ,B ~+> 0.2 ,B ~+> tick ,D ~+> 0.2 ,D ~+> tick ,tick ~+> tick ,K ~+> 0.2 ,K ~+> tick] + f75.12> [K ~=> D ,A ~+> 0.3 ,A ~+> tick ,D ~+> 0.3 ,D ~+> tick ,tick ~+> tick ,K ~+> 0.3 ,K ~+> tick] YES(?,O(1))