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,0,F,D,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) -> cut(A,B,C,D,0,F,-1 + D,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 >= 2 && B = C && D = A && E = F && G = H] 2. start(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,0,F,-1 + D,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 && D = 1 && B = C && A = 1 && E = F && G = H] 3. start(A,B,C,D,E,F,G,H) -> cut(A,0,C,D,1,F,-1 + D,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 >= 2 && B = C && D = A && E = F && G = H] 4. start(A,B,C,D,E,F,G,H) -> stop(A,0,C,D,0,F,-1 + D,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 && D = 1 && B = C && A = 1 && E = F && G = H] 5. cut(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,-1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && E >= 2 && G >= 1 && A >= 1 + G && A >= E + G && D = A] 6. cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,-1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && E >= 2 && A >= 2 && A >= 1 + E && G = 1 && D = A] 7. cut(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && 1 >= E && G >= 1 && A >= 1 + G && A >= E + G && D = A] 8. cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && 1 >= E && A >= 2 && A >= 1 + E && G = 1 && D = A] 9. cut(A,B,C,D,E,F,G,H) -> cut(A,E,C,D,1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && A >= 2 + E && G >= 1 && A >= 1 + G && A >= E + G && D = A] 10. cut(A,B,C,D,E,F,G,H) -> stop(A,E,C,D,1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && A >= 2 + E && A >= 2 && A >= 1 + E && G = 1 && D = A] 11. cut(A,B,C,D,E,F,G,H) -> stop(A,E,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && A >= 1 && A >= 2 && G = 1 && 1 + E = A && D = A] 12. start0(A,B,C,D,E,F,G,H) -> start(A,C,C,A,F,F,H,H) True (1,1) Signature: {(cut,8);(start,8);(start0,8);(stop,8)} Flow Graph: [0->{},1->{5,6,7,8,9,10,11},2->{},3->{5,6,7,8,9,10,11},4->{},5->{5,6,7,8,9,10,11},6->{},7->{5,6,7,8,9,10 ,11},8->{},9->{5,6,7,8,9,10,11},10->{},11->{},12->{0,1,2,3,4}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,5) ,(1,6) ,(1,11) ,(3,5) ,(3,6) ,(3,10) ,(5,11) ,(7,5) ,(7,6) ,(7,11)] * Step 2: FromIts WORST_CASE(?,POLY) + Considered Problem: Rules: 0. start(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,0,F,D,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) -> cut(A,B,C,D,0,F,-1 + D,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 >= 2 && B = C && D = A && E = F && G = H] 2. start(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,0,F,-1 + D,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 && D = 1 && B = C && A = 1 && E = F && G = H] 3. start(A,B,C,D,E,F,G,H) -> cut(A,0,C,D,1,F,-1 + D,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 >= 2 && B = C && D = A && E = F && G = H] 4. start(A,B,C,D,E,F,G,H) -> stop(A,0,C,D,0,F,-1 + D,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 && D = 1 && B = C && A = 1 && E = F && G = H] 5. cut(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,-1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && E >= 2 && G >= 1 && A >= 1 + G && A >= E + G && D = A] 6. cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,-1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && E >= 2 && A >= 2 && A >= 1 + E && G = 1 && D = A] 7. cut(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && 1 >= E && G >= 1 && A >= 1 + G && A >= E + G && D = A] 8. cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && 1 >= E && A >= 2 && A >= 1 + E && G = 1 && D = A] 9. cut(A,B,C,D,E,F,G,H) -> cut(A,E,C,D,1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && A >= 2 + E && G >= 1 && A >= 1 + G && A >= E + G && D = A] 10. cut(A,B,C,D,E,F,G,H) -> stop(A,E,C,D,1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && A >= 2 + E && A >= 2 && A >= 1 + E && G = 1 && D = A] 11. cut(A,B,C,D,E,F,G,H) -> stop(A,E,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 (?,1) && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && A >= 1 && A >= 2 && G = 1 && 1 + E = A && D = A] 12. start0(A,B,C,D,E,F,G,H) -> start(A,C,C,A,F,F,H,H) True (1,1) Signature: {(cut,8);(start,8);(start0,8);(stop,8)} Flow Graph: [0->{},1->{7,8,9,10},2->{},3->{7,8,9,11},4->{},5->{5,6,7,8,9,10},6->{},7->{7,8,9,10},8->{},9->{5,6,7,8,9 ,10,11},10->{},11->{},12->{0,1,2,3,4}] + 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,0,F,D,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) -> cut(A,B,C,D,0,F,-1 + D,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 >= 2 && B = C && D = A && E = F && G = H] start(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,0,F,-1 + D,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 && D = 1 && B = C && A = 1 && E = F && G = H] start(A,B,C,D,E,F,G,H) -> cut(A,0,C,D,1,F,-1 + D,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 >= 2 && B = C && D = A && E = F && G = H] start(A,B,C,D,E,F,G,H) -> stop(A,0,C,D,0,F,-1 + D,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 && D = 1 && B = C && A = 1 && E = F && G = H] cut(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,-1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && E >= 2 && G >= 1 && A >= 1 + G && A >= E + G && D = A] cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,-1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && E >= 2 && A >= 2 && A >= 1 + E && G = 1 && D = A] cut(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && 1 >= E && G >= 1 && A >= 1 + G && A >= E + G && D = A] cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && 1 >= E && A >= 2 && A >= 1 + E && G = 1 && D = A] cut(A,B,C,D,E,F,G,H) -> cut(A,E,C,D,1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && A >= 2 + E && G >= 1 && A >= 1 + G && A >= E + G && D = A] cut(A,B,C,D,E,F,G,H) -> stop(A,E,C,D,1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && A >= 2 + E && A >= 2 && A >= 1 + E && G = 1 && D = A] cut(A,B,C,D,E,F,G,H) -> stop(A,E,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && A >= 1 && A >= 2 && G = 1 && 1 + E = A && D = A] start0(A,B,C,D,E,F,G,H) -> start(A,C,C,A,F,F,H,H) True Signature: {(cut,8);(start,8);(start0,8);(stop,8)} Rule Graph: [0->{},1->{7,8,9,10},2->{},3->{7,8,9,11},4->{},5->{5,6,7,8,9,10},6->{},7->{7,8,9,10},8->{},9->{5,6,7,8,9 ,10,11},10->{},11->{},12->{0,1,2,3,4}] + Applied Processor: AddSinks + Details: () * Step 4: Decompose WORST_CASE(?,POLY) + Considered Problem: Rules: start(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,0,F,D,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) -> cut(A,B,C,D,0,F,-1 + D,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 >= 2 && B = C && D = A && E = F && G = H] start(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,0,F,-1 + D,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 && D = 1 && B = C && A = 1 && E = F && G = H] start(A,B,C,D,E,F,G,H) -> cut(A,0,C,D,1,F,-1 + D,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 >= 2 && B = C && D = A && E = F && G = H] start(A,B,C,D,E,F,G,H) -> stop(A,0,C,D,0,F,-1 + D,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 && D = 1 && B = C && A = 1 && E = F && G = H] cut(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,-1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && E >= 2 && G >= 1 && A >= 1 + G && A >= E + G && D = A] cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,-1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && E >= 2 && A >= 2 && A >= 1 + E && G = 1 && D = A] cut(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && 1 >= E && G >= 1 && A >= 1 + G && A >= E + G && D = A] cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && 1 >= E && A >= 2 && A >= 1 + E && G = 1 && D = A] cut(A,B,C,D,E,F,G,H) -> cut(A,E,C,D,1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && A >= 2 + E && G >= 1 && A >= 1 + G && A >= E + G && D = A] cut(A,B,C,D,E,F,G,H) -> stop(A,E,C,D,1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && A >= 2 + E && A >= 2 && A >= 1 + E && G = 1 && D = A] cut(A,B,C,D,E,F,G,H) -> stop(A,E,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && A >= 1 && A >= 2 && G = 1 && 1 + E = A && D = A] 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 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 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 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);(start,8);(start0,8);(stop,8)} Rule Graph: [0->{23},1->{7,8,9,10},2->{18},3->{7,8,9,11},4->{13},5->{5,6,7,8,9,10},6->{16,21},7->{7,8,9,10},8->{17,22} ,9->{5,6,7,8,9,10,11},10->{15,20},11->{14,19},12->{0,1,2,3,4}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23] | `- p:[7,5,9] c: [5,7,9] * Step 5: AbstractSize WORST_CASE(?,POLY) + Considered Problem: (Rules: start(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,0,F,D,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) -> cut(A,B,C,D,0,F,-1 + D,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 >= 2 && B = C && D = A && E = F && G = H] start(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,0,F,-1 + D,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 && D = 1 && B = C && A = 1 && E = F && G = H] start(A,B,C,D,E,F,G,H) -> cut(A,0,C,D,1,F,-1 + D,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 >= 2 && B = C && D = A && E = F && G = H] start(A,B,C,D,E,F,G,H) -> stop(A,0,C,D,0,F,-1 + D,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 && D = 1 && B = C && A = 1 && E = F && G = H] cut(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,-1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && E >= 2 && G >= 1 && A >= 1 + G && A >= E + G && D = A] cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,-1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && E >= 2 && A >= 2 && A >= 1 + E && G = 1 && D = A] cut(A,B,C,D,E,F,G,H) -> cut(A,B,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && 1 >= E && G >= 1 && A >= 1 + G && A >= E + G && D = A] cut(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && 1 >= E && A >= 2 && A >= 1 + E && G = 1 && D = A] cut(A,B,C,D,E,F,G,H) -> cut(A,E,C,D,1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && G >= 2 && A >= 2 + E && G >= 1 && A >= 1 + G && A >= E + G && D = A] cut(A,B,C,D,E,F,G,H) -> stop(A,E,C,D,1 + E,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && A >= 2 + E && A >= 2 && A >= 1 + E && G = 1 && D = A] cut(A,B,C,D,E,F,G,H) -> stop(A,E,C,D,0,F,-1 + G,H) [-1 + D + -1*G >= 0 && -1 + A + -1*G >= 0 && -1 + G >= 0 && -1 + E + G >= 0 && -3 + D + G >= 0 && -3 + A + G >= 0 && -1 + D + -1*E >= 0 && -1 + A + -1*E >= 0 && E >= 0 && -2 + D + E >= 0 && -2 + A + E >= 0 && A + -1*D >= 0 && -2 + D >= 0 && -4 + A + D >= 0 && -1*A + D >= 0 && -2 + A >= 0 && A >= 1 && A >= 2 && G = 1 && 1 + E = A && D = A] 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 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 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 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);(start,8);(start0,8);(stop,8)} Rule Graph: [0->{23},1->{7,8,9,10},2->{18},3->{7,8,9,11},4->{13},5->{5,6,7,8,9,10},6->{16,21},7->{7,8,9,10},8->{17,22} ,9->{5,6,7,8,9,10,11},10->{15,20},11->{14,19},12->{0,1,2,3,4}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23] | `- p:[7,5,9] c: [5,7,9]) + Applied Processor: AbstractSize Minimize + Details: () * Step 6: AbstractFlow WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [A,B,C,D,E,F,G,H,0.0] start ~> stop [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= D, H <= H] start ~> cut [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= D, H <= H] start ~> stop [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= 0*K, H <= H] start ~> cut [A <= A, B <= 0*K, C <= C, D <= D, E <= K, F <= F, G <= D, H <= H] start ~> stop [A <= A, B <= 0*K, C <= C, D <= D, E <= 0*K, F <= F, G <= 0*K, H <= H] cut ~> cut [A <= A, B <= B, C <= C, D <= D, E <= D, F <= F, G <= A, H <= H] cut ~> stop [A <= A, B <= B, C <= C, D <= D, E <= A, F <= F, G <= 0*K, H <= H] cut ~> cut [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= A, H <= H] cut ~> stop [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= 0*K, H <= H] cut ~> cut [A <= A, B <= E, C <= C, D <= D, E <= D, F <= F, G <= D, H <= H] cut ~> stop [A <= A, B <= E, C <= C, D <= D, E <= D, F <= F, G <= 0*K, H <= H] cut ~> stop [A <= A, B <= E, C <= C, D <= D, E <= 0*K, F <= F, G <= 0*K, H <= H] start0 ~> start [A <= A, B <= C, C <= C, D <= A, E <= F, F <= F, G <= H, H <= H] stop ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] stop ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] stop ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] stop ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] stop ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] stop ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] stop ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] stop ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] stop ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] stop ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] stop ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] + Loop: [0.0 <= 3*K + D + G] cut ~> cut [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= F, G <= A, H <= H] cut ~> cut [A <= A, B <= B, C <= C, D <= D, E <= D, F <= F, G <= A, H <= H] cut ~> cut [A <= A, B <= E, C <= C, D <= D, E <= D, F <= F, G <= D, H <= H] + Applied Processor: AbstractFlow + Details: () * Step 7: Lare WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,D,E,F,G,H,0.0] start ~> stop [D ~=> G,K ~=> E] start ~> cut [D ~=> G,K ~=> E] start ~> stop [K ~=> E,K ~=> G] start ~> cut [D ~=> G,K ~=> B,K ~=> E] start ~> stop [K ~=> B,K ~=> E,K ~=> G] cut ~> cut [A ~=> G,D ~=> E] cut ~> stop [A ~=> E,K ~=> G] cut ~> cut [A ~=> G,K ~=> E] cut ~> stop [K ~=> E,K ~=> G] cut ~> cut [D ~=> E,D ~=> G,E ~=> B] cut ~> stop [D ~=> E,E ~=> B,K ~=> G] cut ~> stop [E ~=> B,K ~=> E,K ~=> G] start0 ~> start [A ~=> D,C ~=> B,F ~=> E,H ~=> G] stop ~> exitus616 [] stop ~> exitus616 [] stop ~> exitus616 [] stop ~> exitus616 [] stop ~> exitus616 [] stop ~> exitus616 [] stop ~> exitus616 [] stop ~> exitus616 [] stop ~> exitus616 [] stop ~> exitus616 [] stop ~> exitus616 [] + Loop: [D ~+> 0.0,G ~+> 0.0,K ~*> 0.0] cut ~> cut [A ~=> G,K ~=> E] cut ~> cut [A ~=> G,D ~=> E] cut ~> cut [D ~=> E,D ~=> G,E ~=> B] + Applied Processor: Lare + Details: start0 ~> exitus616 [A ~=> B ,A ~=> D ,A ~=> E ,A ~=> G ,C ~=> B ,K ~=> B ,K ~=> E ,K ~=> G ,A ~+> 0.0 ,A ~+> tick ,tick ~+> tick ,A ~*> 0.0 ,A ~*> tick ,K ~*> 0.0 ,K ~*> tick] + cut> [A ~=> G ,D ~=> B ,D ~=> E ,D ~=> G ,E ~=> B ,K ~=> B ,K ~=> E ,D ~+> 0.0 ,D ~+> tick ,G ~+> 0.0 ,G ~+> tick ,tick ~+> tick ,K ~*> 0.0 ,K ~*> tick] YES(?,POLY)