YES(?,POLY) * Step 1: UnsatPaths WORST_CASE(?,POLY) + Considered Problem: Rules: 0. start(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [G + -1*H >= 0 (?,1) && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 0 >= A && B = C && D = A && E = F && G = H] 1. start(A,B,C,D,E,F,G,H) -> lbl6(A,B,C,D,E,F,G,H) [G + -1*H >= 0 (?,1) && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && A >= C && B = C && D = A && E = F && G = H] 2. start(A,B,C,D,E,F,G,H) -> lbl121(A,B,C,D,1,F,0,H) [G + -1*H >= 0 (?,1) && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && C >= 1 + A && B = C && D = A && E = F && G = H] 3. lbl6(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [G + -1*H >= 0 (?,1) && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -1*C + D >= 0 && -1*B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && -1*B + C >= 0 && A + -1*B >= 0 && -1 + A >= 0 && A >= 1 && A >= C && G = H && E = F && D = A && B = C] 4. lbl121(A,B,C,D,E,F,G,H) -> lbl121(A,B,C,D,1 + E,F,G,H) [G >= 0 (?,1) && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 + E && C >= 1 + G && A + C >= 3 + G && A >= E && E >= 1 && C >= 1 + A && D = A && B = C] 5. lbl121(A,B,C,D,E,F,G,H) -> lbl141(A,B,C,D,0,F,1 + G,H) [G >= 0 (?,1) && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && C >= 1 + G && A + C >= 3 + G && A >= 1 && C >= 1 + A && E = A && D = A && B = C] 6. lbl141(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,E,F,G,H) [C + -1*G >= 0 (?,1) && B + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -2 + D + G >= 0 && -3 + C + G >= 0 && -3 + B + G >= 0 && -2 + A + G >= 0 && -1*E >= 0 && -1 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -1 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 2 && C >= 1 + A && C >= 1 && G = C && E = 0 && D = A && B = C] 7. lbl141(A,B,C,D,E,F,G,H) -> lbl121(A,B,C,D,1 + E,F,G,H) [C + -1*G >= 0 (?,1) && B + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -2 + D + G >= 0 && -3 + C + G >= 0 && -3 + B + G >= 0 && -2 + A + G >= 0 && -1*E >= 0 && -1 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -1 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 && C >= 1 + G && A >= 2 && C >= 1 + A && G >= 1 && C >= G && E = 0 && D = A && B = C] 8. cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [C + -1*G >= 0 (?,1) && B + -1*G >= 0 && -3 + G >= 0 && -3 + E + G >= 0 && -3 + -1*E + G >= 0 && -5 + D + G >= 0 && -1 + -1*D + G >= 0 && -6 + C + G >= 0 && -1*C + G >= 0 && -6 + B + G >= 0 && -1*B + G >= 0 && -5 + A + G >= 0 && -1 + -1*A + G >= 0 && -1*E >= 0 && -2 + D + -1*E >= 0 && -3 + C + -1*E >= 0 && -3 + B + -1*E >= 0 && -2 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -5 + C + D >= 0 && -5 + B + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -3 + C >= 0 && -6 + B + C >= 0 && -1*B + C >= 0 && -5 + A + C >= 0 && -1 + -1*A + C >= 0 && -3 + B >= 0 && -5 + A + B >= 0 && -1 + -1*A + B >= 0 && -2 + A >= 0 && C >= 1 + A && A >= 2 && E = 0 && G = C && D = A && B = C] 9. start0(A,B,C,D,E,F,G,H) -> start(A,C,C,A,F,F,H,H) True (1,1) Signature: {(cut,8);(lbl121,8);(lbl141,8);(lbl6,8);(start,8);(start0,8);(stop,8)} Flow Graph: [0->{},1->{3},2->{4,5},3->{},4->{4,5},5->{6,7},6->{8},7->{4,5},8->{},9->{0,1,2}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(7,5)] * Step 2: FromIts WORST_CASE(?,POLY) + Considered Problem: Rules: 0. start(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [G + -1*H >= 0 (?,1) && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 0 >= A && B = C && D = A && E = F && G = H] 1. start(A,B,C,D,E,F,G,H) -> lbl6(A,B,C,D,E,F,G,H) [G + -1*H >= 0 (?,1) && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && A >= C && B = C && D = A && E = F && G = H] 2. start(A,B,C,D,E,F,G,H) -> lbl121(A,B,C,D,1,F,0,H) [G + -1*H >= 0 (?,1) && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && C >= 1 + A && B = C && D = A && E = F && G = H] 3. lbl6(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [G + -1*H >= 0 (?,1) && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -1*C + D >= 0 && -1*B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && -1*B + C >= 0 && A + -1*B >= 0 && -1 + A >= 0 && A >= 1 && A >= C && G = H && E = F && D = A && B = C] 4. lbl121(A,B,C,D,E,F,G,H) -> lbl121(A,B,C,D,1 + E,F,G,H) [G >= 0 (?,1) && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 + E && C >= 1 + G && A + C >= 3 + G && A >= E && E >= 1 && C >= 1 + A && D = A && B = C] 5. lbl121(A,B,C,D,E,F,G,H) -> lbl141(A,B,C,D,0,F,1 + G,H) [G >= 0 (?,1) && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && C >= 1 + G && A + C >= 3 + G && A >= 1 && C >= 1 + A && E = A && D = A && B = C] 6. lbl141(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,E,F,G,H) [C + -1*G >= 0 (?,1) && B + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -2 + D + G >= 0 && -3 + C + G >= 0 && -3 + B + G >= 0 && -2 + A + G >= 0 && -1*E >= 0 && -1 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -1 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 2 && C >= 1 + A && C >= 1 && G = C && E = 0 && D = A && B = C] 7. lbl141(A,B,C,D,E,F,G,H) -> lbl121(A,B,C,D,1 + E,F,G,H) [C + -1*G >= 0 (?,1) && B + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -2 + D + G >= 0 && -3 + C + G >= 0 && -3 + B + G >= 0 && -2 + A + G >= 0 && -1*E >= 0 && -1 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -1 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 && C >= 1 + G && A >= 2 && C >= 1 + A && G >= 1 && C >= G && E = 0 && D = A && B = C] 8. cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [C + -1*G >= 0 (?,1) && B + -1*G >= 0 && -3 + G >= 0 && -3 + E + G >= 0 && -3 + -1*E + G >= 0 && -5 + D + G >= 0 && -1 + -1*D + G >= 0 && -6 + C + G >= 0 && -1*C + G >= 0 && -6 + B + G >= 0 && -1*B + G >= 0 && -5 + A + G >= 0 && -1 + -1*A + G >= 0 && -1*E >= 0 && -2 + D + -1*E >= 0 && -3 + C + -1*E >= 0 && -3 + B + -1*E >= 0 && -2 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -5 + C + D >= 0 && -5 + B + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -3 + C >= 0 && -6 + B + C >= 0 && -1*B + C >= 0 && -5 + A + C >= 0 && -1 + -1*A + C >= 0 && -3 + B >= 0 && -5 + A + B >= 0 && -1 + -1*A + B >= 0 && -2 + A >= 0 && C >= 1 + A && A >= 2 && E = 0 && G = C && D = A && B = C] 9. start0(A,B,C,D,E,F,G,H) -> start(A,C,C,A,F,F,H,H) True (1,1) Signature: {(cut,8);(lbl121,8);(lbl141,8);(lbl6,8);(start,8);(start0,8);(stop,8)} Flow Graph: [0->{},1->{3},2->{4,5},3->{},4->{4,5},5->{6,7},6->{8},7->{4},8->{},9->{0,1,2}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: start(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 0 >= A && B = C && D = A && E = F && G = H] start(A,B,C,D,E,F,G,H) -> lbl6(A,B,C,D,E,F,G,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && A >= C && B = C && D = A && E = F && G = H] start(A,B,C,D,E,F,G,H) -> lbl121(A,B,C,D,1,F,0,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && C >= 1 + A && B = C && D = A && E = F && G = H] lbl6(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -1*C + D >= 0 && -1*B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && -1*B + C >= 0 && A + -1*B >= 0 && -1 + A >= 0 && A >= 1 && A >= C && G = H && E = F && D = A && B = C] lbl121(A,B,C,D,E,F,G,H) -> lbl121(A,B,C,D,1 + E,F,G,H) [G >= 0 && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 + E && C >= 1 + G && A + C >= 3 + G && A >= E && E >= 1 && C >= 1 + A && D = A && B = C] lbl121(A,B,C,D,E,F,G,H) -> lbl141(A,B,C,D,0,F,1 + G,H) [G >= 0 && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && C >= 1 + G && A + C >= 3 + G && A >= 1 && C >= 1 + A && E = A && D = A && B = C] lbl141(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,E,F,G,H) [C + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -2 + D + G >= 0 && -3 + C + G >= 0 && -3 + B + G >= 0 && -2 + A + G >= 0 && -1*E >= 0 && -1 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -1 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 2 && C >= 1 + A && C >= 1 && G = C && E = 0 && D = A && B = C] lbl141(A,B,C,D,E,F,G,H) -> lbl121(A,B,C,D,1 + E,F,G,H) [C + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -2 + D + G >= 0 && -3 + C + G >= 0 && -3 + B + G >= 0 && -2 + A + G >= 0 && -1*E >= 0 && -1 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -1 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 && C >= 1 + G && A >= 2 && C >= 1 + A && G >= 1 && C >= G && E = 0 && D = A && B = C] cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [C + -1*G >= 0 && B + -1*G >= 0 && -3 + G >= 0 && -3 + E + G >= 0 && -3 + -1*E + G >= 0 && -5 + D + G >= 0 && -1 + -1*D + G >= 0 && -6 + C + G >= 0 && -1*C + G >= 0 && -6 + B + G >= 0 && -1*B + G >= 0 && -5 + A + G >= 0 && -1 + -1*A + G >= 0 && -1*E >= 0 && -2 + D + -1*E >= 0 && -3 + C + -1*E >= 0 && -3 + B + -1*E >= 0 && -2 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -5 + C + D >= 0 && -5 + B + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -3 + C >= 0 && -6 + B + C >= 0 && -1*B + C >= 0 && -5 + A + C >= 0 && -1 + -1*A + C >= 0 && -3 + B >= 0 && -5 + A + B >= 0 && -1 + -1*A + B >= 0 && -2 + A >= 0 && C >= 1 + A && A >= 2 && E = 0 && G = C && D = A && B = C] start0(A,B,C,D,E,F,G,H) -> start(A,C,C,A,F,F,H,H) True Signature: {(cut,8);(lbl121,8);(lbl141,8);(lbl6,8);(start,8);(start0,8);(stop,8)} Rule Graph: [0->{},1->{3},2->{4,5},3->{},4->{4,5},5->{6,7},6->{8},7->{4},8->{},9->{0,1,2}] + Applied Processor: AddSinks + Details: () * Step 4: Unfold WORST_CASE(?,POLY) + Considered Problem: Rules: start(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 0 >= A && B = C && D = A && E = F && G = H] start(A,B,C,D,E,F,G,H) -> lbl6(A,B,C,D,E,F,G,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && A >= C && B = C && D = A && E = F && G = H] start(A,B,C,D,E,F,G,H) -> lbl121(A,B,C,D,1,F,0,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && C >= 1 + A && B = C && D = A && E = F && G = H] lbl6(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -1*C + D >= 0 && -1*B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && -1*B + C >= 0 && A + -1*B >= 0 && -1 + A >= 0 && A >= 1 && A >= C && G = H && E = F && D = A && B = C] lbl121(A,B,C,D,E,F,G,H) -> lbl121(A,B,C,D,1 + E,F,G,H) [G >= 0 && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 + E && C >= 1 + G && A + C >= 3 + G && A >= E && E >= 1 && C >= 1 + A && D = A && B = C] lbl121(A,B,C,D,E,F,G,H) -> lbl141(A,B,C,D,0,F,1 + G,H) [G >= 0 && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && C >= 1 + G && A + C >= 3 + G && A >= 1 && C >= 1 + A && E = A && D = A && B = C] lbl141(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,E,F,G,H) [C + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -2 + D + G >= 0 && -3 + C + G >= 0 && -3 + B + G >= 0 && -2 + A + G >= 0 && -1*E >= 0 && -1 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -1 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 2 && C >= 1 + A && C >= 1 && G = C && E = 0 && D = A && B = C] lbl141(A,B,C,D,E,F,G,H) -> lbl121(A,B,C,D,1 + E,F,G,H) [C + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -2 + D + G >= 0 && -3 + C + G >= 0 && -3 + B + G >= 0 && -2 + A + G >= 0 && -1*E >= 0 && -1 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -1 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 && C >= 1 + G && A >= 2 && C >= 1 + A && G >= 1 && C >= G && E = 0 && D = A && B = C] cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [C + -1*G >= 0 && B + -1*G >= 0 && -3 + G >= 0 && -3 + E + G >= 0 && -3 + -1*E + G >= 0 && -5 + D + G >= 0 && -1 + -1*D + G >= 0 && -6 + C + G >= 0 && -1*C + G >= 0 && -6 + B + G >= 0 && -1*B + G >= 0 && -5 + A + G >= 0 && -1 + -1*A + G >= 0 && -1*E >= 0 && -2 + D + -1*E >= 0 && -3 + C + -1*E >= 0 && -3 + B + -1*E >= 0 && -2 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -5 + C + D >= 0 && -5 + B + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -3 + C >= 0 && -6 + B + C >= 0 && -1*B + C >= 0 && -5 + A + C >= 0 && -1 + -1*A + C >= 0 && -3 + B >= 0 && -5 + A + B >= 0 && -1 + -1*A + B >= 0 && -2 + A >= 0 && C >= 1 + A && A >= 2 && E = 0 && G = C && D = A && B = C] start0(A,B,C,D,E,F,G,H) -> start(A,C,C,A,F,F,H,H) True stop(A,B,C,D,E,F,G,H) -> exitus616(A,B,C,D,E,F,G,H) True stop(A,B,C,D,E,F,G,H) -> exitus616(A,B,C,D,E,F,G,H) True stop(A,B,C,D,E,F,G,H) -> exitus616(A,B,C,D,E,F,G,H) True Signature: {(cut,8);(exitus616,8);(lbl121,8);(lbl141,8);(lbl6,8);(start,8);(start0,8);(stop,8)} Rule Graph: [0->{12},1->{3},2->{4,5},3->{11},4->{4,5},5->{6,7},6->{8},7->{4},8->{10},9->{0,1,2}] + Applied Processor: Unfold + Details: () * Step 5: Decompose WORST_CASE(?,POLY) + Considered Problem: Rules: start.0(A,B,C,D,E,F,G,H) -> stop.12(A,B,C,D,E,F,G,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 0 >= A && B = C && D = A && E = F && G = H] start.1(A,B,C,D,E,F,G,H) -> lbl6.3(A,B,C,D,E,F,G,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && A >= C && B = C && D = A && E = F && G = H] start.2(A,B,C,D,E,F,G,H) -> lbl121.4(A,B,C,D,1,F,0,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && C >= 1 + A && B = C && D = A && E = F && G = H] start.2(A,B,C,D,E,F,G,H) -> lbl121.5(A,B,C,D,1,F,0,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && C >= 1 + A && B = C && D = A && E = F && G = H] lbl6.3(A,B,C,D,E,F,G,H) -> stop.11(A,B,C,D,E,F,G,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -1*C + D >= 0 && -1*B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && -1*B + C >= 0 && A + -1*B >= 0 && -1 + A >= 0 && A >= 1 && A >= C && G = H && E = F && D = A && B = C] lbl121.4(A,B,C,D,E,F,G,H) -> lbl121.4(A,B,C,D,1 + E,F,G,H) [G >= 0 && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 + E && C >= 1 + G && A + C >= 3 + G && A >= E && E >= 1 && C >= 1 + A && D = A && B = C] lbl121.4(A,B,C,D,E,F,G,H) -> lbl121.5(A,B,C,D,1 + E,F,G,H) [G >= 0 && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 + E && C >= 1 + G && A + C >= 3 + G && A >= E && E >= 1 && C >= 1 + A && D = A && B = C] lbl121.5(A,B,C,D,E,F,G,H) -> lbl141.6(A,B,C,D,0,F,1 + G,H) [G >= 0 && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && C >= 1 + G && A + C >= 3 + G && A >= 1 && C >= 1 + A && E = A && D = A && B = C] lbl121.5(A,B,C,D,E,F,G,H) -> lbl141.7(A,B,C,D,0,F,1 + G,H) [G >= 0 && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && C >= 1 + G && A + C >= 3 + G && A >= 1 && C >= 1 + A && E = A && D = A && B = C] lbl141.6(A,B,C,D,E,F,G,H) -> cut.8(A,B,C,D,E,F,G,H) [C + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -2 + D + G >= 0 && -3 + C + G >= 0 && -3 + B + G >= 0 && -2 + A + G >= 0 && -1*E >= 0 && -1 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -1 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 2 && C >= 1 + A && C >= 1 && G = C && E = 0 && D = A && B = C] lbl141.7(A,B,C,D,E,F,G,H) -> lbl121.4(A,B,C,D,1 + E,F,G,H) [C + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -2 + D + G >= 0 && -3 + C + G >= 0 && -3 + B + G >= 0 && -2 + A + G >= 0 && -1*E >= 0 && -1 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -1 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 && C >= 1 + G && A >= 2 && C >= 1 + A && G >= 1 && C >= G && E = 0 && D = A && B = C] cut.8(A,B,C,D,E,F,G,H) -> stop.10(A,B,C,D,E,F,G,H) [C + -1*G >= 0 && B + -1*G >= 0 && -3 + G >= 0 && -3 + E + G >= 0 && -3 + -1*E + G >= 0 && -5 + D + G >= 0 && -1 + -1*D + G >= 0 && -6 + C + G >= 0 && -1*C + G >= 0 && -6 + B + G >= 0 && -1*B + G >= 0 && -5 + A + G >= 0 && -1 + -1*A + G >= 0 && -1*E >= 0 && -2 + D + -1*E >= 0 && -3 + C + -1*E >= 0 && -3 + B + -1*E >= 0 && -2 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -5 + C + D >= 0 && -5 + B + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -3 + C >= 0 && -6 + B + C >= 0 && -1*B + C >= 0 && -5 + A + C >= 0 && -1 + -1*A + C >= 0 && -3 + B >= 0 && -5 + A + B >= 0 && -1 + -1*A + B >= 0 && -2 + A >= 0 && C >= 1 + A && A >= 2 && E = 0 && G = C && D = A && B = C] start0.9(A,B,C,D,E,F,G,H) -> start.0(A,C,C,A,F,F,H,H) True start0.9(A,B,C,D,E,F,G,H) -> start.1(A,C,C,A,F,F,H,H) True start0.9(A,B,C,D,E,F,G,H) -> start.2(A,C,C,A,F,F,H,H) True stop.10(A,B,C,D,E,F,G,H) -> exitus616.13(A,B,C,D,E,F,G,H) True stop.11(A,B,C,D,E,F,G,H) -> exitus616.13(A,B,C,D,E,F,G,H) True stop.12(A,B,C,D,E,F,G,H) -> exitus616.13(A,B,C,D,E,F,G,H) True Signature: {(cut.8,8) ;(exitus616.13,8) ;(lbl121.4,8) ;(lbl121.5,8) ;(lbl141.6,8) ;(lbl141.7,8) ;(lbl6.3,8) ;(start.0,8) ;(start.1,8) ;(start.2,8) ;(start0.9,8) ;(stop.10,8) ;(stop.11,8) ;(stop.12,8)} Rule Graph: [0->{17},1->{4},2->{5,6},3->{7,8},4->{16},5->{5,6},6->{7,8},7->{9},8->{10},9->{11},10->{5,6},11->{15} ,12->{0},13->{1},14->{2,3},15->{},16->{},17->{}] + 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] | `- p:[5,10,8,6] c: [6,8,10] | `- p:[5] c: [5] * Step 6: AbstractSize WORST_CASE(?,POLY) + Considered Problem: (Rules: start.0(A,B,C,D,E,F,G,H) -> stop.12(A,B,C,D,E,F,G,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 0 >= A && B = C && D = A && E = F && G = H] start.1(A,B,C,D,E,F,G,H) -> lbl6.3(A,B,C,D,E,F,G,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && A >= C && B = C && D = A && E = F && G = H] start.2(A,B,C,D,E,F,G,H) -> lbl121.4(A,B,C,D,1,F,0,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && C >= 1 + A && B = C && D = A && E = F && G = H] start.2(A,B,C,D,E,F,G,H) -> lbl121.5(A,B,C,D,1,F,0,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 1 && C >= 1 + A && B = C && D = A && E = F && G = H] lbl6.3(A,B,C,D,E,F,G,H) -> stop.11(A,B,C,D,E,F,G,H) [G + -1*H >= 0 && -1*G + H >= 0 && E + -1*F >= 0 && -1*E + F >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -1*C + D >= 0 && -1*B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && A + -1*C >= 0 && -1*B + C >= 0 && A + -1*B >= 0 && -1 + A >= 0 && A >= 1 && A >= C && G = H && E = F && D = A && B = C] lbl121.4(A,B,C,D,E,F,G,H) -> lbl121.4(A,B,C,D,1 + E,F,G,H) [G >= 0 && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 + E && C >= 1 + G && A + C >= 3 + G && A >= E && E >= 1 && C >= 1 + A && D = A && B = C] lbl121.4(A,B,C,D,E,F,G,H) -> lbl121.5(A,B,C,D,1 + E,F,G,H) [G >= 0 && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 + E && C >= 1 + G && A + C >= 3 + G && A >= E && E >= 1 && C >= 1 + A && D = A && B = C] lbl121.5(A,B,C,D,E,F,G,H) -> lbl141.6(A,B,C,D,0,F,1 + G,H) [G >= 0 && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && C >= 1 + G && A + C >= 3 + G && A >= 1 && C >= 1 + A && E = A && D = A && B = C] lbl121.5(A,B,C,D,E,F,G,H) -> lbl141.7(A,B,C,D,0,F,1 + G,H) [G >= 0 && -1 + E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -1 + A + G >= 0 && D + -1*E >= 0 && -1 + C + -1*E >= 0 && -1 + B + -1*E >= 0 && A + -1*E >= 0 && -1 + E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && C >= 1 + G && A + C >= 3 + G && A >= 1 && C >= 1 + A && E = A && D = A && B = C] lbl141.6(A,B,C,D,E,F,G,H) -> cut.8(A,B,C,D,E,F,G,H) [C + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -2 + D + G >= 0 && -3 + C + G >= 0 && -3 + B + G >= 0 && -2 + A + G >= 0 && -1*E >= 0 && -1 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -1 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 2 && C >= 1 + A && C >= 1 && G = C && E = 0 && D = A && B = C] lbl141.7(A,B,C,D,E,F,G,H) -> lbl121.4(A,B,C,D,1 + E,F,G,H) [C + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -2 + D + G >= 0 && -3 + C + G >= 0 && -3 + B + G >= 0 && -2 + A + G >= 0 && -1*E >= 0 && -1 + D + -1*E >= 0 && -2 + C + -1*E >= 0 && -2 + B + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -1 + D + E >= 0 && -2 + C + E >= 0 && -2 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -1 + D >= 0 && -3 + C + D >= 0 && -3 + B + D >= 0 && -2 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -2 + C >= 0 && -4 + B + C >= 0 && -1*B + C >= 0 && -3 + A + C >= 0 && -1 + -1*A + C >= 0 && -2 + B >= 0 && -3 + A + B >= 0 && -1 + -1*A + B >= 0 && -1 + A >= 0 && A >= 1 && C >= 1 + G && A >= 2 && C >= 1 + A && G >= 1 && C >= G && E = 0 && D = A && B = C] cut.8(A,B,C,D,E,F,G,H) -> stop.10(A,B,C,D,E,F,G,H) [C + -1*G >= 0 && B + -1*G >= 0 && -3 + G >= 0 && -3 + E + G >= 0 && -3 + -1*E + G >= 0 && -5 + D + G >= 0 && -1 + -1*D + G >= 0 && -6 + C + G >= 0 && -1*C + G >= 0 && -6 + B + G >= 0 && -1*B + G >= 0 && -5 + A + G >= 0 && -1 + -1*A + G >= 0 && -1*E >= 0 && -2 + D + -1*E >= 0 && -3 + C + -1*E >= 0 && -3 + B + -1*E >= 0 && -2 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -3 + C + E >= 0 && -3 + B + E >= 0 && -2 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + B + -1*D >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -5 + C + D >= 0 && -5 + B + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && B + -1*C >= 0 && -3 + C >= 0 && -6 + B + C >= 0 && -1*B + C >= 0 && -5 + A + C >= 0 && -1 + -1*A + C >= 0 && -3 + B >= 0 && -5 + A + B >= 0 && -1 + -1*A + B >= 0 && -2 + A >= 0 && C >= 1 + A && A >= 2 && E = 0 && G = C && D = A && B = C] start0.9(A,B,C,D,E,F,G,H) -> start.0(A,C,C,A,F,F,H,H) True start0.9(A,B,C,D,E,F,G,H) -> start.1(A,C,C,A,F,F,H,H) True start0.9(A,B,C,D,E,F,G,H) -> start.2(A,C,C,A,F,F,H,H) True stop.10(A,B,C,D,E,F,G,H) -> exitus616.13(A,B,C,D,E,F,G,H) True stop.11(A,B,C,D,E,F,G,H) -> exitus616.13(A,B,C,D,E,F,G,H) True stop.12(A,B,C,D,E,F,G,H) -> exitus616.13(A,B,C,D,E,F,G,H) True Signature: {(cut.8,8) ;(exitus616.13,8) ;(lbl121.4,8) ;(lbl121.5,8) ;(lbl141.6,8) ;(lbl141.7,8) ;(lbl6.3,8) ;(start.0,8) ;(start.1,8) ;(start.2,8) ;(start0.9,8) ;(stop.10,8) ;(stop.11,8) ;(stop.12,8)} Rule Graph: [0->{17},1->{4},2->{5,6},3->{7,8},4->{16},5->{5,6},6->{7,8},7->{9},8->{10},9->{11},10->{5,6},11->{15} ,12->{0},13->{1},14->{2,3},15->{},16->{},17->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17] | `- p:[5,10,8,6] c: [6,8,10] | `- p:[5] c: [5]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [A,B,C,D,E,F,G,H,0.0,0.0.0] start.0 ~> stop.12 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] start.1 ~> lbl6.3 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] start.2 ~> lbl121.4 [A <= A, B <= B, C <= C, D <= D, E <= K, F <= F, G <= 0*K, H <= H] start.2 ~> lbl121.5 [A <= A, B <= B, C <= C, D <= D, E <= K, F <= F, G <= 0*K, H <= H] lbl6.3 ~> stop.11 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] lbl121.4 ~> lbl121.4 [A <= A, B <= B, C <= C, D <= D, E <= D, F <= F, G <= G, H <= H] lbl121.4 ~> lbl121.5 [A <= A, B <= B, C <= C, D <= D, E <= D, F <= F, G <= G, H <= H] lbl121.5 ~> lbl141.6 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= C, H <= H] lbl121.5 ~> lbl141.7 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= C, H <= H] lbl141.6 ~> cut.8 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] lbl141.7 ~> lbl121.4 [A <= A, B <= B, C <= C, D <= D, E <= K, F <= F, G <= G, H <= H] cut.8 ~> stop.10 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] start0.9 ~> start.0 [A <= A, B <= C, C <= C, D <= A, E <= F, F <= F, G <= H, H <= H] start0.9 ~> start.1 [A <= A, B <= C, C <= C, D <= A, E <= F, F <= F, G <= H, H <= H] start0.9 ~> start.2 [A <= A, B <= C, C <= C, D <= A, E <= F, F <= F, G <= H, H <= H] stop.10 ~> exitus616.13 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] stop.11 ~> exitus616.13 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] stop.12 ~> exitus616.13 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] + Loop: [0.0 <= 2*K + C + G] lbl121.4 ~> lbl121.4 [A <= A, B <= B, C <= C, D <= D, E <= D, F <= F, G <= G, H <= H] lbl141.7 ~> lbl121.4 [A <= A, B <= B, C <= C, D <= D, E <= K, F <= F, G <= G, H <= H] lbl121.5 ~> lbl141.7 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= C, H <= H] lbl121.4 ~> lbl121.5 [A <= A, B <= B, C <= C, D <= D, E <= D, F <= F, G <= G, H <= H] + Loop: [0.0.0 <= K + C + E] lbl121.4 ~> lbl121.4 [A <= A, B <= B, C <= C, D <= D, E <= D, F <= F, G <= G, H <= H] + Applied Processor: AbstractFlow + Details: () * Step 8: Lare WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,D,E,F,G,H,0.0,0.0.0] start.0 ~> stop.12 [] start.1 ~> lbl6.3 [] start.2 ~> lbl121.4 [K ~=> E,K ~=> G] start.2 ~> lbl121.5 [K ~=> E,K ~=> G] lbl6.3 ~> stop.11 [] lbl121.4 ~> lbl121.4 [D ~=> E] lbl121.4 ~> lbl121.5 [D ~=> E] lbl121.5 ~> lbl141.6 [C ~=> G,K ~=> E] lbl121.5 ~> lbl141.7 [C ~=> G,K ~=> E] lbl141.6 ~> cut.8 [] lbl141.7 ~> lbl121.4 [K ~=> E] cut.8 ~> stop.10 [] start0.9 ~> start.0 [A ~=> D,C ~=> B,F ~=> E,H ~=> G] start0.9 ~> start.1 [A ~=> D,C ~=> B,F ~=> E,H ~=> G] start0.9 ~> start.2 [A ~=> D,C ~=> B,F ~=> E,H ~=> G] stop.10 ~> exitus616.13 [] stop.11 ~> exitus616.13 [] stop.12 ~> exitus616.13 [] + Loop: [C ~+> 0.0,G ~+> 0.0,K ~*> 0.0] lbl121.4 ~> lbl121.4 [D ~=> E] lbl141.7 ~> lbl121.4 [K ~=> E] lbl121.5 ~> lbl141.7 [C ~=> G,K ~=> E] lbl121.4 ~> lbl121.5 [D ~=> E] + Loop: [C ~+> 0.0.0,E ~+> 0.0.0,K ~+> 0.0.0] lbl121.4 ~> lbl121.4 [D ~=> E] + Applied Processor: Lare + Details: start0.9 ~> exitus616.13 [A ~=> D ,C ~=> B ,C ~=> G ,F ~=> E ,H ~=> G ,K ~=> E ,A ~+> 0.0.0 ,A ~+> tick ,C ~+> 0.0 ,C ~+> 0.0.0 ,C ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> tick ,A ~*> tick ,C ~*> 0.0 ,C ~*> tick ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> tick] + lbl121.5> [C ~=> G ,D ~=> E ,C ~+> 0.0 ,C ~+> 0.0.0 ,C ~+> tick ,D ~+> 0.0.0 ,D ~+> tick ,G ~+> 0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick ,C ~*> tick ,D ~*> tick ,G ~*> tick ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> tick] lbl121.5> [C ~=> G ,D ~=> E ,C ~+> 0.0 ,C ~+> 0.0.0 ,C ~+> tick ,D ~+> 0.0.0 ,D ~+> tick ,E ~+> 0.0.0 ,E ~+> tick ,G ~+> 0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick ,C ~*> tick ,D ~*> tick ,E ~*> tick ,G ~*> tick ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> tick] + lbl121.4> [D ~=> E ,C ~+> 0.0.0 ,C ~+> tick ,E ~+> 0.0.0 ,E ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick] YES(?,POLY)