YES(?,POLY) * Step 1: UnsatPaths WORST_CASE(?,POLY) + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G) -> f10(H,0,C,D,E,F,G) True (1,1) 1. f10(A,B,C,D,E,F,G) -> f10(A,1 + B,C,D,E,F,G) [B >= 0 && C >= 1 + B] (?,1) 2. f18(A,B,C,D,E,F,G) -> f21(A,B,C,D,E,0,G) [B + -1*E >= 0 (?,1) && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] 3. f21(A,B,C,D,E,F,G) -> f21(A,B,C,D,E,1 + F,G) [F >= 0 (?,1) && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] 4. f21(A,B,C,D,E,F,G) -> f21(A,B,C,D,E,1 + F,H) [F >= 0 (?,1) && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] 5. f32(A,B,C,D,E,F,G) -> f32(A,B,C,D,1 + E,F,G) [B + -1*E >= 0 (?,1) && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] 6. f32(A,B,C,D,E,F,G) -> f41(A,B,C,D,E,F,G) [B + -1*E >= 0 (?,1) && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] 7. f21(A,B,C,D,E,F,G) -> f18(A,B,C,D,1 + E,F,G) [F >= 0 (?,1) && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && 1 + E + F >= D] 8. f18(A,B,C,D,E,F,G) -> f32(A,B,C,D,0,F,G) [B + -1*E >= 0 (?,1) && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] 9. f10(A,B,C,D,E,F,G) -> f18(A,B,C,C,0,F,G) [B >= 0 && B >= C] (?,1) Signature: {(f0,7);(f10,7);(f18,7);(f21,7);(f32,7);(f41,7)} Flow Graph: [0->{1,9},1->{1,9},2->{3,4,7},3->{3,4,7},4->{3,4,7},5->{5,6},6->{},7->{2,8},8->{5,6},9->{2,8}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,7)] * Step 2: FromIts WORST_CASE(?,POLY) + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G) -> f10(H,0,C,D,E,F,G) True (1,1) 1. f10(A,B,C,D,E,F,G) -> f10(A,1 + B,C,D,E,F,G) [B >= 0 && C >= 1 + B] (?,1) 2. f18(A,B,C,D,E,F,G) -> f21(A,B,C,D,E,0,G) [B + -1*E >= 0 (?,1) && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] 3. f21(A,B,C,D,E,F,G) -> f21(A,B,C,D,E,1 + F,G) [F >= 0 (?,1) && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] 4. f21(A,B,C,D,E,F,G) -> f21(A,B,C,D,E,1 + F,H) [F >= 0 (?,1) && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] 5. f32(A,B,C,D,E,F,G) -> f32(A,B,C,D,1 + E,F,G) [B + -1*E >= 0 (?,1) && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] 6. f32(A,B,C,D,E,F,G) -> f41(A,B,C,D,E,F,G) [B + -1*E >= 0 (?,1) && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] 7. f21(A,B,C,D,E,F,G) -> f18(A,B,C,D,1 + E,F,G) [F >= 0 (?,1) && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && 1 + E + F >= D] 8. f18(A,B,C,D,E,F,G) -> f32(A,B,C,D,0,F,G) [B + -1*E >= 0 (?,1) && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] 9. f10(A,B,C,D,E,F,G) -> f18(A,B,C,C,0,F,G) [B >= 0 && B >= C] (?,1) Signature: {(f0,7);(f10,7);(f18,7);(f21,7);(f32,7);(f41,7)} Flow Graph: [0->{1,9},1->{1,9},2->{3,4},3->{3,4,7},4->{3,4,7},5->{5,6},6->{},7->{2,8},8->{5,6},9->{2,8}] + Applied Processor: FromIts + Details: () * Step 3: Unfold WORST_CASE(?,POLY) + Considered Problem: Rules: f0(A,B,C,D,E,F,G) -> f10(H,0,C,D,E,F,G) True f10(A,B,C,D,E,F,G) -> f10(A,1 + B,C,D,E,F,G) [B >= 0 && C >= 1 + B] f18(A,B,C,D,E,F,G) -> f21(A,B,C,D,E,0,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f21(A,B,C,D,E,F,G) -> f21(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21(A,B,C,D,E,F,G) -> f21(A,B,C,D,E,1 + F,H) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f32(A,B,C,D,E,F,G) -> f32(A,B,C,D,1 + E,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f32(A,B,C,D,E,F,G) -> f41(A,B,C,D,E,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] f21(A,B,C,D,E,F,G) -> f18(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && 1 + E + F >= D] f18(A,B,C,D,E,F,G) -> f32(A,B,C,D,0,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] f10(A,B,C,D,E,F,G) -> f18(A,B,C,C,0,F,G) [B >= 0 && B >= C] Signature: {(f0,7);(f10,7);(f18,7);(f21,7);(f32,7);(f41,7)} Rule Graph: [0->{1,9},1->{1,9},2->{3,4},3->{3,4,7},4->{3,4,7},5->{5,6},6->{},7->{2,8},8->{5,6},9->{2,8}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: f0.0(A,B,C,D,E,F,G) -> f10.1(H,0,C,D,E,F,G) True f0.0(A,B,C,D,E,F,G) -> f10.9(H,0,C,D,E,F,G) True f10.1(A,B,C,D,E,F,G) -> f10.1(A,1 + B,C,D,E,F,G) [B >= 0 && C >= 1 + B] f10.1(A,B,C,D,E,F,G) -> f10.9(A,1 + B,C,D,E,F,G) [B >= 0 && C >= 1 + B] f18.2(A,B,C,D,E,F,G) -> f21.3(A,B,C,D,E,0,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f18.2(A,B,C,D,E,F,G) -> f21.4(A,B,C,D,E,0,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f21.3(A,B,C,D,E,F,G) -> f21.3(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.3(A,B,C,D,E,F,G) -> f21.4(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.3(A,B,C,D,E,F,G) -> f21.7(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.4(A,B,C,D,E,F,G) -> f21.3(A,B,C,D,E,1 + F,H) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.4(A,B,C,D,E,F,G) -> f21.4(A,B,C,D,E,1 + F,H) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.4(A,B,C,D,E,F,G) -> f21.7(A,B,C,D,E,1 + F,H) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f32.5(A,B,C,D,E,F,G) -> f32.5(A,B,C,D,1 + E,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f32.5(A,B,C,D,E,F,G) -> f32.6(A,B,C,D,1 + E,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f32.6(A,B,C,D,E,F,G) -> f41.10(A,B,C,D,E,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] f21.7(A,B,C,D,E,F,G) -> f18.2(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && 1 + E + F >= D] f21.7(A,B,C,D,E,F,G) -> f18.8(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && 1 + E + F >= D] f18.8(A,B,C,D,E,F,G) -> f32.5(A,B,C,D,0,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] f18.8(A,B,C,D,E,F,G) -> f32.6(A,B,C,D,0,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] f10.9(A,B,C,D,E,F,G) -> f18.2(A,B,C,C,0,F,G) [B >= 0 && B >= C] f10.9(A,B,C,D,E,F,G) -> f18.8(A,B,C,C,0,F,G) [B >= 0 && B >= C] Signature: {(f0.0,7) ;(f10.1,7) ;(f10.9,7) ;(f18.2,7) ;(f18.8,7) ;(f21.3,7) ;(f21.4,7) ;(f21.7,7) ;(f32.5,7) ;(f32.6,7) ;(f41.10,7)} Rule Graph: [0->{2,3},1->{19,20},2->{2,3},3->{19,20},4->{6,7,8},5->{9,10,11},6->{6,7,8},7->{9,10,11},8->{15,16},9->{6 ,7,8},10->{9,10,11},11->{15,16},12->{12,13},13->{14},14->{},15->{4,5},16->{17,18},17->{12,13},18->{14} ,19->{4,5},20->{17,18}] + Applied Processor: AddSinks + Details: () * Step 5: Decompose WORST_CASE(?,POLY) + Considered Problem: Rules: f0.0(A,B,C,D,E,F,G) -> f10.1(H,0,C,D,E,F,G) True f0.0(A,B,C,D,E,F,G) -> f10.9(H,0,C,D,E,F,G) True f10.1(A,B,C,D,E,F,G) -> f10.1(A,1 + B,C,D,E,F,G) [B >= 0 && C >= 1 + B] f10.1(A,B,C,D,E,F,G) -> f10.9(A,1 + B,C,D,E,F,G) [B >= 0 && C >= 1 + B] f18.2(A,B,C,D,E,F,G) -> f21.3(A,B,C,D,E,0,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f18.2(A,B,C,D,E,F,G) -> f21.4(A,B,C,D,E,0,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f21.3(A,B,C,D,E,F,G) -> f21.3(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.3(A,B,C,D,E,F,G) -> f21.4(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.3(A,B,C,D,E,F,G) -> f21.7(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.4(A,B,C,D,E,F,G) -> f21.3(A,B,C,D,E,1 + F,H) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.4(A,B,C,D,E,F,G) -> f21.4(A,B,C,D,E,1 + F,H) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.4(A,B,C,D,E,F,G) -> f21.7(A,B,C,D,E,1 + F,H) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f32.5(A,B,C,D,E,F,G) -> f32.5(A,B,C,D,1 + E,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f32.5(A,B,C,D,E,F,G) -> f32.6(A,B,C,D,1 + E,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f32.6(A,B,C,D,E,F,G) -> f41.10(A,B,C,D,E,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] f21.7(A,B,C,D,E,F,G) -> f18.2(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && 1 + E + F >= D] f21.7(A,B,C,D,E,F,G) -> f18.8(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && 1 + E + F >= D] f18.8(A,B,C,D,E,F,G) -> f32.5(A,B,C,D,0,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] f18.8(A,B,C,D,E,F,G) -> f32.6(A,B,C,D,0,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] f10.9(A,B,C,D,E,F,G) -> f18.2(A,B,C,C,0,F,G) [B >= 0 && B >= C] f10.9(A,B,C,D,E,F,G) -> f18.8(A,B,C,C,0,F,G) [B >= 0 && B >= C] f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True Signature: {(exitus616,7) ;(f0.0,7) ;(f10.1,7) ;(f10.9,7) ;(f18.2,7) ;(f18.8,7) ;(f21.3,7) ;(f21.4,7) ;(f21.7,7) ;(f32.5,7) ;(f32.6,7) ;(f41.10,7)} Rule Graph: [0->{2,3},1->{19,20},2->{2,3},3->{19,20},4->{6,7,8},5->{9,10,11},6->{6,7,8},7->{9,10,11},8->{15,16},9->{6 ,7,8},10->{9,10,11},11->{15,16},12->{12,13},13->{14},14->{21,22,23,24,25,26,27,28},15->{4,5},16->{17,18} ,17->{12,13},18->{14},19->{4,5},20->{17,18}] + 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] | +- p:[2] c: [2] | +- p:[4,15,8,6,9,5,7,10,11] c: [4,5,8,11,15] | | | `- p:[6,9,7,10] c: [6,7,9,10] | `- p:[12] c: [12] * Step 6: AbstractSize WORST_CASE(?,POLY) + Considered Problem: (Rules: f0.0(A,B,C,D,E,F,G) -> f10.1(H,0,C,D,E,F,G) True f0.0(A,B,C,D,E,F,G) -> f10.9(H,0,C,D,E,F,G) True f10.1(A,B,C,D,E,F,G) -> f10.1(A,1 + B,C,D,E,F,G) [B >= 0 && C >= 1 + B] f10.1(A,B,C,D,E,F,G) -> f10.9(A,1 + B,C,D,E,F,G) [B >= 0 && C >= 1 + B] f18.2(A,B,C,D,E,F,G) -> f21.3(A,B,C,D,E,0,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f18.2(A,B,C,D,E,F,G) -> f21.4(A,B,C,D,E,0,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f21.3(A,B,C,D,E,F,G) -> f21.3(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.3(A,B,C,D,E,F,G) -> f21.4(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.3(A,B,C,D,E,F,G) -> f21.7(A,B,C,D,E,1 + F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.4(A,B,C,D,E,F,G) -> f21.3(A,B,C,D,E,1 + F,H) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.4(A,B,C,D,E,F,G) -> f21.4(A,B,C,D,E,1 + F,H) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f21.4(A,B,C,D,E,F,G) -> f21.7(A,B,C,D,E,1 + F,H) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && D >= 2 + E + F] f32.5(A,B,C,D,E,F,G) -> f32.5(A,B,C,D,1 + E,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f32.5(A,B,C,D,E,F,G) -> f32.6(A,B,C,D,1 + E,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && D >= 2 + E] f32.6(A,B,C,D,E,F,G) -> f41.10(A,B,C,D,E,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] f21.7(A,B,C,D,E,F,G) -> f18.2(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && 1 + E + F >= D] f21.7(A,B,C,D,E,F,G) -> f18.8(A,B,C,D,1 + E,F,G) [F >= 0 && E + F >= 0 && -2 + D + F >= 0 && -2 + C + F >= 0 && -2 + B + F >= 0 && -2 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -2 + D >= 0 && -4 + C + D >= 0 && -1*C + D >= 0 && -4 + B + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -2 + B >= 0 && 1 + E + F >= D] f18.8(A,B,C,D,E,F,G) -> f32.5(A,B,C,D,0,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] f18.8(A,B,C,D,E,F,G) -> f32.6(A,B,C,D,0,F,G) [B + -1*E >= 0 && E >= 0 && B + E >= 0 && C + -1*D >= 0 && B + -1*D >= 0 && -1*C + D >= 0 && B + -1*C >= 0 && B >= 0 && 1 + E >= D] f10.9(A,B,C,D,E,F,G) -> f18.2(A,B,C,C,0,F,G) [B >= 0 && B >= C] f10.9(A,B,C,D,E,F,G) -> f18.8(A,B,C,C,0,F,G) [B >= 0 && B >= C] f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f41.10(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True Signature: {(exitus616,7) ;(f0.0,7) ;(f10.1,7) ;(f10.9,7) ;(f18.2,7) ;(f18.8,7) ;(f21.3,7) ;(f21.4,7) ;(f21.7,7) ;(f32.5,7) ;(f32.6,7) ;(f41.10,7)} Rule Graph: [0->{2,3},1->{19,20},2->{2,3},3->{19,20},4->{6,7,8},5->{9,10,11},6->{6,7,8},7->{9,10,11},8->{15,16},9->{6 ,7,8},10->{9,10,11},11->{15,16},12->{12,13},13->{14},14->{21,22,23,24,25,26,27,28},15->{4,5},16->{17,18} ,17->{12,13},18->{14},19->{4,5},20->{17,18}] ,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] | +- p:[2] c: [2] | +- p:[4,15,8,6,9,5,7,10,11] c: [4,5,8,11,15] | | | `- p:[6,9,7,10] c: [6,7,9,10] | `- p:[12] c: [12]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [A,B,C,D,E,F,G,0.0,0.1,0.1.0,0.2] f0.0 ~> f10.1 [A <= unknown, B <= 0*K, C <= C, D <= D, E <= E, F <= F, G <= G] f0.0 ~> f10.9 [A <= unknown, B <= 0*K, C <= C, D <= D, E <= E, F <= F, G <= G] f10.1 ~> f10.1 [A <= A, B <= C, C <= C, D <= D, E <= E, F <= F, G <= G] f10.1 ~> f10.9 [A <= A, B <= C, C <= C, D <= D, E <= E, F <= F, G <= G] f18.2 ~> f21.3 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 0*K, G <= G] f18.2 ~> f21.4 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 0*K, G <= G] f21.3 ~> f21.3 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= G] f21.3 ~> f21.4 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= G] f21.3 ~> f21.7 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= G] f21.4 ~> f21.3 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= unknown] f21.4 ~> f21.4 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= unknown] f21.4 ~> f21.7 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= unknown] f32.5 ~> f32.5 [A <= A, B <= B, C <= C, D <= D, E <= C, F <= F, G <= G] f32.5 ~> f32.6 [A <= A, B <= B, C <= C, D <= D, E <= C, F <= F, G <= G] f32.6 ~> f41.10 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f21.7 ~> f18.2 [A <= A, B <= B, C <= C, D <= D, E <= C, F <= F, G <= G] f21.7 ~> f18.8 [A <= A, B <= B, C <= C, D <= D, E <= C, F <= F, G <= G] f18.8 ~> f32.5 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= G] f18.8 ~> f32.6 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= G] f10.9 ~> f18.2 [A <= A, B <= B, C <= C, D <= C, E <= 0*K, F <= F, G <= G] f10.9 ~> f18.8 [A <= A, B <= B, C <= C, D <= C, E <= 0*K, F <= F, G <= G] f41.10 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f41.10 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f41.10 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f41.10 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f41.10 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f41.10 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f41.10 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f41.10 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] + Loop: [0.0 <= K + B + C] f10.1 ~> f10.1 [A <= A, B <= C, C <= C, D <= D, E <= E, F <= F, G <= G] + Loop: [0.1 <= 2*K + D + E] f18.2 ~> f21.3 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 0*K, G <= G] f21.7 ~> f18.2 [A <= A, B <= B, C <= C, D <= D, E <= C, F <= F, G <= G] f21.3 ~> f21.7 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= G] f21.3 ~> f21.3 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= G] f21.4 ~> f21.3 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= unknown] f18.2 ~> f21.4 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= 0*K, G <= G] f21.3 ~> f21.4 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= G] f21.4 ~> f21.4 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= unknown] f21.4 ~> f21.7 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= unknown] + Loop: [0.1.0 <= 3*K + B + 3*D + E + F] f21.3 ~> f21.3 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= G] f21.4 ~> f21.3 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= unknown] f21.3 ~> f21.4 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= G] f21.4 ~> f21.4 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= B, G <= unknown] + Loop: [0.2 <= 2*K + D + E] f32.5 ~> f32.5 [A <= A, B <= B, C <= C, D <= D, E <= C, F <= F, G <= G] + Applied Processor: AbstractFlow + Details: () * Step 8: Lare WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,D,E,F,G,0.0,0.1,0.1.0,0.2] f0.0 ~> f10.1 [K ~=> B,huge ~=> A] f0.0 ~> f10.9 [K ~=> B,huge ~=> A] f10.1 ~> f10.1 [C ~=> B] f10.1 ~> f10.9 [C ~=> B] f18.2 ~> f21.3 [K ~=> F] f18.2 ~> f21.4 [K ~=> F] f21.3 ~> f21.3 [B ~=> F] f21.3 ~> f21.4 [B ~=> F] f21.3 ~> f21.7 [B ~=> F] f21.4 ~> f21.3 [B ~=> F,huge ~=> G] f21.4 ~> f21.4 [B ~=> F,huge ~=> G] f21.4 ~> f21.7 [B ~=> F,huge ~=> G] f32.5 ~> f32.5 [C ~=> E] f32.5 ~> f32.6 [C ~=> E] f32.6 ~> f41.10 [] f21.7 ~> f18.2 [C ~=> E] f21.7 ~> f18.8 [C ~=> E] f18.8 ~> f32.5 [K ~=> E] f18.8 ~> f32.6 [K ~=> E] f10.9 ~> f18.2 [C ~=> D,K ~=> E] f10.9 ~> f18.8 [C ~=> D,K ~=> E] f41.10 ~> exitus616 [] f41.10 ~> exitus616 [] f41.10 ~> exitus616 [] f41.10 ~> exitus616 [] f41.10 ~> exitus616 [] f41.10 ~> exitus616 [] f41.10 ~> exitus616 [] f41.10 ~> exitus616 [] + Loop: [B ~+> 0.0,C ~+> 0.0,K ~+> 0.0] f10.1 ~> f10.1 [C ~=> B] + Loop: [D ~+> 0.1,E ~+> 0.1,K ~*> 0.1] f18.2 ~> f21.3 [K ~=> F] f21.7 ~> f18.2 [C ~=> E] f21.3 ~> f21.7 [B ~=> F] f21.3 ~> f21.3 [B ~=> F] f21.4 ~> f21.3 [B ~=> F,huge ~=> G] f18.2 ~> f21.4 [K ~=> F] f21.3 ~> f21.4 [B ~=> F] f21.4 ~> f21.4 [B ~=> F,huge ~=> G] f21.4 ~> f21.7 [B ~=> F,huge ~=> G] + Loop: [B ~+> 0.1.0,E ~+> 0.1.0,F ~+> 0.1.0,D ~*> 0.1.0,K ~*> 0.1.0] f21.3 ~> f21.3 [B ~=> F] f21.4 ~> f21.3 [B ~=> F,huge ~=> G] f21.3 ~> f21.4 [B ~=> F] f21.4 ~> f21.4 [B ~=> F,huge ~=> G] + Loop: [D ~+> 0.2,E ~+> 0.2,K ~*> 0.2] f32.5 ~> f32.5 [C ~=> E] + Applied Processor: Lare + Details: f0.0 ~> exitus616 [C ~=> B ,C ~=> D ,C ~=> E ,C ~=> F ,K ~=> B ,K ~=> E ,K ~=> F ,huge ~=> A ,huge ~=> G ,C ~+> 0.0 ,C ~+> 0.1 ,C ~+> 0.1.0 ,C ~+> 0.2 ,C ~+> tick ,F ~+> 0.1.0 ,F ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.1 ,K ~+> 0.1.0 ,K ~+> 0.2 ,K ~+> tick ,C ~*> 0.1.0 ,C ~*> tick ,F ~*> tick ,K ~*> 0.0 ,K ~*> 0.1 ,K ~*> 0.1.0 ,K ~*> 0.2 ,K ~*> tick] + f10.1> [C ~=> B,B ~+> 0.0,B ~+> tick,C ~+> 0.0,C ~+> tick,tick ~+> tick,K ~+> 0.0,K ~+> tick] + f21.7> [B ~=> F ,C ~=> E ,K ~=> F ,huge ~=> G ,B ~+> 0.1.0 ,B ~+> tick ,C ~+> 0.1.0 ,C ~+> tick ,D ~+> 0.1 ,D ~+> tick ,E ~+> 0.1 ,E ~+> 0.1.0 ,E ~+> tick ,F ~+> 0.1.0 ,F ~+> tick ,tick ~+> tick ,K ~+> 0.1.0 ,K ~+> tick ,B ~*> 0.1.0 ,B ~*> tick ,C ~*> tick ,D ~*> 0.1.0 ,D ~*> tick ,E ~*> tick ,F ~*> tick ,K ~*> 0.1 ,K ~*> 0.1.0 ,K ~*> tick] + f21.3> [B ~=> F ,huge ~=> G ,B ~+> 0.1.0 ,B ~+> tick ,E ~+> 0.1.0 ,E ~+> tick ,F ~+> 0.1.0 ,F ~+> tick ,tick ~+> tick ,D ~*> 0.1.0 ,D ~*> tick ,K ~*> 0.1.0 ,K ~*> tick] f21.4> [B ~=> F ,huge ~=> G ,B ~+> 0.1.0 ,B ~+> tick ,E ~+> 0.1.0 ,E ~+> tick ,F ~+> 0.1.0 ,F ~+> tick ,tick ~+> tick ,D ~*> 0.1.0 ,D ~*> tick ,K ~*> 0.1.0 ,K ~*> tick] f21.3> [B ~=> F ,huge ~=> G ,B ~+> 0.1.0 ,B ~+> tick ,E ~+> 0.1.0 ,E ~+> tick ,F ~+> 0.1.0 ,F ~+> tick ,tick ~+> tick ,D ~*> 0.1.0 ,D ~*> tick ,K ~*> 0.1.0 ,K ~*> tick] f21.4> [B ~=> F ,huge ~=> G ,B ~+> 0.1.0 ,B ~+> tick ,E ~+> 0.1.0 ,E ~+> tick ,F ~+> 0.1.0 ,F ~+> tick ,tick ~+> tick ,D ~*> 0.1.0 ,D ~*> tick ,K ~*> 0.1.0 ,K ~*> tick] + f32.5> [C ~=> E,D ~+> 0.2,D ~+> tick,E ~+> 0.2,E ~+> tick,tick ~+> tick,K ~*> 0.2,K ~*> tick] YES(?,POLY)