YES * Step 1: UnsatPaths YES + Considered Problem: Rules: 0. start(A,B,C,D,E,F,G,H) -> stop(A,-10 + H,C,1,E,H,G,H) [A + -1*H >= 0 (?,1) && -1*A + H >= 0 && F + -1*G >= 0 && -1*F + G >= 0 && D + -1*E >= 0 && -1*D + E >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 101 && B = C && D = E && F = G && H = A] 1. start(A,B,C,D,E,F,G,H) -> lbl111(A,B,C,2,E,11 + H,G,H) [A + -1*H >= 0 (?,1) && -1*A + H >= 0 && F + -1*G >= 0 && -1*F + G >= 0 && D + -1*E >= 0 && -1*D + E >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 >= A && B = C && D = E && F = G && H = A] 2. lbl161(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [100 + -1*H >= 0 (?,1) && -1 + F + -1*H >= 0 && 201 + -1*F + -1*H >= 0 && 99 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && 9 + B + -1*H >= 0 && 191 + -1*B + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && 101 + -1*F >= 0 && 100 + D + -1*F >= 0 && 102 + -1*D + -1*F >= 0 && 10 + B + -1*F >= 0 && 192 + -1*B + -1*F >= 0 && 201 + -1*A + -1*F >= 0 && -101 + F >= 0 && -102 + D + F >= 0 && -100 + -1*D + F >= 0 && -192 + B + F >= 0 && -10 + -1*B + F >= 0 && -1 + -1*A + F >= 0 && 1 + -1*D >= 0 && -90 + B + -1*D >= 0 && 92 + -1*B + -1*D >= 0 && 101 + -1*A + -1*D >= 0 && -1 + D >= 0 && -92 + B + D >= 0 && 90 + -1*B + D >= 0 && 99 + -1*A + D >= 0 && 91 + -1*B >= 0 && 191 + -1*A + -1*B >= 0 && -91 + B >= 0 && 9 + -1*A + B >= 0 && 100 + -1*A >= 0 && 89 >= A && D = 1 && H = A && F = 101 && B = 91] 3. lbl221(A,B,C,D,E,F,G,H) -> lbl161(A,-20 + F,C,-1 + D,E,-10 + F,G,H) [99 + -1*H >= 0 (?,1) && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && 99 >= A && 89 >= A && F = 111 && D = 2 && H = A && B = C] 4. lbl221(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [99 + -1*H >= 0 (?,1) && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && D >= 3 && 110 >= F && D >= 2 && F >= 102 && 111 >= F && 10 + F >= A + 11*D && 89 >= A && H = A && B = C] 5. lbl221(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [99 + -1*H >= 0 (?,1) && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && D >= 2 && 110 >= F && F >= 102 && 111 >= F && 10 + F >= A + 11*D && 89 >= A && H = A && B = C] 6. lbl221(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,-1 + D,E,-9 + F,G,H) [99 + -1*H >= 0 (?,1) && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && D >= 3 && D >= 2 && 121 >= A + 11*D && 89 >= A && F = 111 && H = A && B = C] 7. lbl111(A,B,C,D,E,F,G,H) -> lbl111(A,B,C,1 + D,E,11 + F,G,H) [100 + -1*H >= 0 (?,1) && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && 111 >= A + 11*D && 122 >= A + 11*D && 11*D >= 22 && H = A && B = C && 11 + F = A + 11*D] 8. lbl111(A,B,C,D,E,F,G,H) -> lbl161(A,-20 + F,C,-1 + D,E,-10 + F,G,H) [100 + -1*H >= 0 (?,1) && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && F = 111 && D = 2 && H = 100 && B = C && A = 100] 9. lbl111(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [100 + -1*H >= 0 (?,1) && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && A + 11*D >= 112 && D >= 3 && 121 >= A + 11*D && 122 >= A + 11*D && 11*D >= 22 && H = A && B = C && 11 + F = A + 11*D] 10. lbl111(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [100 + -1*H >= 0 (?,1) && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && A + 11*D >= 112 && D >= 2 && 121 >= A + 11*D && 122 >= A + 11*D && 11*D >= 22 && H = A && B = C && 11 + F = A + 11*D] 11. lbl111(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,-1 + D,E,-9 + F,G,H) [100 + -1*H >= 0 (?,1) && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && D >= 3 && 11*D >= 22 && F = 111 && 11*D + H = 122 && B = C && A + 11*D = 122] 12. start0(A,B,C,D,E,F,G,H) -> start(A,C,C,E,E,G,G,A) True (1,1) Signature: {(lbl111,8);(lbl161,8);(lbl221,8);(start,8);(start0,8);(stop,8)} Flow Graph: [0->{},1->{7,8,9,10,11},2->{},3->{2},4->{3,4,5,6},5->{3,4,5,6},6->{3,4,5,6},7->{7,8,9,10,11},8->{2},9->{3 ,4,5,6},10->{3,4,5,6},11->{3,4,5,6},12->{0,1}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,9) ,(1,11) ,(4,3) ,(6,3) ,(6,6) ,(7,8) ,(8,2) ,(9,3) ,(10,3) ,(11,3) ,(11,6)] * Step 2: FromIts YES + Considered Problem: Rules: 0. start(A,B,C,D,E,F,G,H) -> stop(A,-10 + H,C,1,E,H,G,H) [A + -1*H >= 0 (?,1) && -1*A + H >= 0 && F + -1*G >= 0 && -1*F + G >= 0 && D + -1*E >= 0 && -1*D + E >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 101 && B = C && D = E && F = G && H = A] 1. start(A,B,C,D,E,F,G,H) -> lbl111(A,B,C,2,E,11 + H,G,H) [A + -1*H >= 0 (?,1) && -1*A + H >= 0 && F + -1*G >= 0 && -1*F + G >= 0 && D + -1*E >= 0 && -1*D + E >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 >= A && B = C && D = E && F = G && H = A] 2. lbl161(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [100 + -1*H >= 0 (?,1) && -1 + F + -1*H >= 0 && 201 + -1*F + -1*H >= 0 && 99 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && 9 + B + -1*H >= 0 && 191 + -1*B + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && 101 + -1*F >= 0 && 100 + D + -1*F >= 0 && 102 + -1*D + -1*F >= 0 && 10 + B + -1*F >= 0 && 192 + -1*B + -1*F >= 0 && 201 + -1*A + -1*F >= 0 && -101 + F >= 0 && -102 + D + F >= 0 && -100 + -1*D + F >= 0 && -192 + B + F >= 0 && -10 + -1*B + F >= 0 && -1 + -1*A + F >= 0 && 1 + -1*D >= 0 && -90 + B + -1*D >= 0 && 92 + -1*B + -1*D >= 0 && 101 + -1*A + -1*D >= 0 && -1 + D >= 0 && -92 + B + D >= 0 && 90 + -1*B + D >= 0 && 99 + -1*A + D >= 0 && 91 + -1*B >= 0 && 191 + -1*A + -1*B >= 0 && -91 + B >= 0 && 9 + -1*A + B >= 0 && 100 + -1*A >= 0 && 89 >= A && D = 1 && H = A && F = 101 && B = 91] 3. lbl221(A,B,C,D,E,F,G,H) -> lbl161(A,-20 + F,C,-1 + D,E,-10 + F,G,H) [99 + -1*H >= 0 (?,1) && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && 99 >= A && 89 >= A && F = 111 && D = 2 && H = A && B = C] 4. lbl221(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [99 + -1*H >= 0 (?,1) && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && D >= 3 && 110 >= F && D >= 2 && F >= 102 && 111 >= F && 10 + F >= A + 11*D && 89 >= A && H = A && B = C] 5. lbl221(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [99 + -1*H >= 0 (?,1) && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && D >= 2 && 110 >= F && F >= 102 && 111 >= F && 10 + F >= A + 11*D && 89 >= A && H = A && B = C] 6. lbl221(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,-1 + D,E,-9 + F,G,H) [99 + -1*H >= 0 (?,1) && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && D >= 3 && D >= 2 && 121 >= A + 11*D && 89 >= A && F = 111 && H = A && B = C] 7. lbl111(A,B,C,D,E,F,G,H) -> lbl111(A,B,C,1 + D,E,11 + F,G,H) [100 + -1*H >= 0 (?,1) && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && 111 >= A + 11*D && 122 >= A + 11*D && 11*D >= 22 && H = A && B = C && 11 + F = A + 11*D] 8. lbl111(A,B,C,D,E,F,G,H) -> lbl161(A,-20 + F,C,-1 + D,E,-10 + F,G,H) [100 + -1*H >= 0 (?,1) && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && F = 111 && D = 2 && H = 100 && B = C && A = 100] 9. lbl111(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [100 + -1*H >= 0 (?,1) && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && A + 11*D >= 112 && D >= 3 && 121 >= A + 11*D && 122 >= A + 11*D && 11*D >= 22 && H = A && B = C && 11 + F = A + 11*D] 10. lbl111(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [100 + -1*H >= 0 (?,1) && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && A + 11*D >= 112 && D >= 2 && 121 >= A + 11*D && 122 >= A + 11*D && 11*D >= 22 && H = A && B = C && 11 + F = A + 11*D] 11. lbl111(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,-1 + D,E,-9 + F,G,H) [100 + -1*H >= 0 (?,1) && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && D >= 3 && 11*D >= 22 && F = 111 && 11*D + H = 122 && B = C && A + 11*D = 122] 12. start0(A,B,C,D,E,F,G,H) -> start(A,C,C,E,E,G,G,A) True (1,1) Signature: {(lbl111,8);(lbl161,8);(lbl221,8);(start,8);(start0,8);(stop,8)} Flow Graph: [0->{},1->{7,8,10},2->{},3->{2},4->{4,5,6},5->{3,4,5,6},6->{4,5},7->{7,9,10,11},8->{},9->{4,5,6},10->{4,5 ,6},11->{4,5},12->{0,1}] + Applied Processor: FromIts + Details: () * Step 3: Decompose YES + Considered Problem: Rules: start(A,B,C,D,E,F,G,H) -> stop(A,-10 + H,C,1,E,H,G,H) [A + -1*H >= 0 && -1*A + H >= 0 && F + -1*G >= 0 && -1*F + G >= 0 && D + -1*E >= 0 && -1*D + E >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 101 && B = C && D = E && F = G && H = A] start(A,B,C,D,E,F,G,H) -> lbl111(A,B,C,2,E,11 + H,G,H) [A + -1*H >= 0 && -1*A + H >= 0 && F + -1*G >= 0 && -1*F + G >= 0 && D + -1*E >= 0 && -1*D + E >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 >= A && B = C && D = E && F = G && H = A] lbl161(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [100 + -1*H >= 0 && -1 + F + -1*H >= 0 && 201 + -1*F + -1*H >= 0 && 99 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && 9 + B + -1*H >= 0 && 191 + -1*B + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && 101 + -1*F >= 0 && 100 + D + -1*F >= 0 && 102 + -1*D + -1*F >= 0 && 10 + B + -1*F >= 0 && 192 + -1*B + -1*F >= 0 && 201 + -1*A + -1*F >= 0 && -101 + F >= 0 && -102 + D + F >= 0 && -100 + -1*D + F >= 0 && -192 + B + F >= 0 && -10 + -1*B + F >= 0 && -1 + -1*A + F >= 0 && 1 + -1*D >= 0 && -90 + B + -1*D >= 0 && 92 + -1*B + -1*D >= 0 && 101 + -1*A + -1*D >= 0 && -1 + D >= 0 && -92 + B + D >= 0 && 90 + -1*B + D >= 0 && 99 + -1*A + D >= 0 && 91 + -1*B >= 0 && 191 + -1*A + -1*B >= 0 && -91 + B >= 0 && 9 + -1*A + B >= 0 && 100 + -1*A >= 0 && 89 >= A && D = 1 && H = A && F = 101 && B = 91] lbl221(A,B,C,D,E,F,G,H) -> lbl161(A,-20 + F,C,-1 + D,E,-10 + F,G,H) [99 + -1*H >= 0 && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && 99 >= A && 89 >= A && F = 111 && D = 2 && H = A && B = C] lbl221(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [99 + -1*H >= 0 && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && D >= 3 && 110 >= F && D >= 2 && F >= 102 && 111 >= F && 10 + F >= A + 11*D && 89 >= A && H = A && B = C] lbl221(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [99 + -1*H >= 0 && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && D >= 2 && 110 >= F && F >= 102 && 111 >= F && 10 + F >= A + 11*D && 89 >= A && H = A && B = C] lbl221(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,-1 + D,E,-9 + F,G,H) [99 + -1*H >= 0 && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && D >= 3 && D >= 2 && 121 >= A + 11*D && 89 >= A && F = 111 && H = A && B = C] lbl111(A,B,C,D,E,F,G,H) -> lbl111(A,B,C,1 + D,E,11 + F,G,H) [100 + -1*H >= 0 && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && 111 >= A + 11*D && 122 >= A + 11*D && 11*D >= 22 && H = A && B = C && 11 + F = A + 11*D] lbl111(A,B,C,D,E,F,G,H) -> lbl161(A,-20 + F,C,-1 + D,E,-10 + F,G,H) [100 + -1*H >= 0 && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && F = 111 && D = 2 && H = 100 && B = C && A = 100] lbl111(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [100 + -1*H >= 0 && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && A + 11*D >= 112 && D >= 3 && 121 >= A + 11*D && 122 >= A + 11*D && 11*D >= 22 && H = A && B = C && 11 + F = A + 11*D] lbl111(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [100 + -1*H >= 0 && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && A + 11*D >= 112 && D >= 2 && 121 >= A + 11*D && 122 >= A + 11*D && 11*D >= 22 && H = A && B = C && 11 + F = A + 11*D] lbl111(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,-1 + D,E,-9 + F,G,H) [100 + -1*H >= 0 && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && D >= 3 && 11*D >= 22 && F = 111 && 11*D + H = 122 && B = C && A + 11*D = 122] start0(A,B,C,D,E,F,G,H) -> start(A,C,C,E,E,G,G,A) True Signature: {(lbl111,8);(lbl161,8);(lbl221,8);(start,8);(start0,8);(stop,8)} Rule Graph: [0->{},1->{7,8,10},2->{},3->{2},4->{4,5,6},5->{3,4,5,6},6->{4,5},7->{7,9,10,11},8->{},9->{4,5,6},10->{4,5 ,6},11->{4,5},12->{0,1}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12] | +- p:[7] c: [7] | `- p:[4,5,6] c: [6] | `- p:[4,5] c: [5] | `- p:[4] c: [4] * Step 4: CloseWith YES + Considered Problem: (Rules: start(A,B,C,D,E,F,G,H) -> stop(A,-10 + H,C,1,E,H,G,H) [A + -1*H >= 0 && -1*A + H >= 0 && F + -1*G >= 0 && -1*F + G >= 0 && D + -1*E >= 0 && -1*D + E >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && A >= 101 && B = C && D = E && F = G && H = A] start(A,B,C,D,E,F,G,H) -> lbl111(A,B,C,2,E,11 + H,G,H) [A + -1*H >= 0 && -1*A + H >= 0 && F + -1*G >= 0 && -1*F + G >= 0 && D + -1*E >= 0 && -1*D + E >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 >= A && B = C && D = E && F = G && H = A] lbl161(A,B,C,D,E,F,G,H) -> stop(A,B,C,D,E,F,G,H) [100 + -1*H >= 0 && -1 + F + -1*H >= 0 && 201 + -1*F + -1*H >= 0 && 99 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && 9 + B + -1*H >= 0 && 191 + -1*B + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && 101 + -1*F >= 0 && 100 + D + -1*F >= 0 && 102 + -1*D + -1*F >= 0 && 10 + B + -1*F >= 0 && 192 + -1*B + -1*F >= 0 && 201 + -1*A + -1*F >= 0 && -101 + F >= 0 && -102 + D + F >= 0 && -100 + -1*D + F >= 0 && -192 + B + F >= 0 && -10 + -1*B + F >= 0 && -1 + -1*A + F >= 0 && 1 + -1*D >= 0 && -90 + B + -1*D >= 0 && 92 + -1*B + -1*D >= 0 && 101 + -1*A + -1*D >= 0 && -1 + D >= 0 && -92 + B + D >= 0 && 90 + -1*B + D >= 0 && 99 + -1*A + D >= 0 && 91 + -1*B >= 0 && 191 + -1*A + -1*B >= 0 && -91 + B >= 0 && 9 + -1*A + B >= 0 && 100 + -1*A >= 0 && 89 >= A && D = 1 && H = A && F = 101 && B = 91] lbl221(A,B,C,D,E,F,G,H) -> lbl161(A,-20 + F,C,-1 + D,E,-10 + F,G,H) [99 + -1*H >= 0 && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && 99 >= A && 89 >= A && F = 111 && D = 2 && H = A && B = C] lbl221(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [99 + -1*H >= 0 && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && D >= 3 && 110 >= F && D >= 2 && F >= 102 && 111 >= F && 10 + F >= A + 11*D && 89 >= A && H = A && B = C] lbl221(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [99 + -1*H >= 0 && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && D >= 2 && 110 >= F && F >= 102 && 111 >= F && 10 + F >= A + 11*D && 89 >= A && H = A && B = C] lbl221(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,-1 + D,E,-9 + F,G,H) [99 + -1*H >= 0 && -12 + F + -1*H >= 0 && 97 + D + -1*H >= 0 && 101 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 198 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -12 + -1*A + F >= 0 && 101 + -1*A + -1*D >= 0 && -2 + D >= 0 && 97 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 99 + -1*A >= 0 && D >= 3 && D >= 2 && 121 >= A + 11*D && 89 >= A && F = 111 && H = A && B = C] lbl111(A,B,C,D,E,F,G,H) -> lbl111(A,B,C,1 + D,E,11 + F,G,H) [100 + -1*H >= 0 && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && 111 >= A + 11*D && 122 >= A + 11*D && 11*D >= 22 && H = A && B = C && 11 + F = A + 11*D] lbl111(A,B,C,D,E,F,G,H) -> lbl161(A,-20 + F,C,-1 + D,E,-10 + F,G,H) [100 + -1*H >= 0 && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && F = 111 && D = 2 && H = 100 && B = C && A = 100] lbl111(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [100 + -1*H >= 0 && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && A + 11*D >= 112 && D >= 3 && 121 >= A + 11*D && 122 >= A + 11*D && 11*D >= 22 && H = A && B = C && 11 + F = A + 11*D] lbl111(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,D,E,1 + F,G,H) [100 + -1*H >= 0 && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && A + 11*D >= 112 && D >= 2 && 121 >= A + 11*D && 122 >= A + 11*D && 11*D >= 22 && H = A && B = C && 11 + F = A + 11*D] lbl111(A,B,C,D,E,F,G,H) -> lbl221(A,B,C,-1 + D,E,-9 + F,G,H) [100 + -1*H >= 0 && -11 + F + -1*H >= 0 && 98 + D + -1*H >= 0 && 102 + -1*D + -1*H >= 0 && A + -1*H >= 0 && 200 + -1*A + -1*H >= 0 && -1*A + H >= 0 && -11 + -1*A + F >= 0 && 102 + -1*A + -1*D >= 0 && -2 + D >= 0 && 98 + -1*A + D >= 0 && B + -1*C >= 0 && -1*B + C >= 0 && 100 + -1*A >= 0 && D >= 3 && 11*D >= 22 && F = 111 && 11*D + H = 122 && B = C && A + 11*D = 122] start0(A,B,C,D,E,F,G,H) -> start(A,C,C,E,E,G,G,A) True Signature: {(lbl111,8);(lbl161,8);(lbl221,8);(start,8);(start0,8);(stop,8)} Rule Graph: [0->{},1->{7,8,10},2->{},3->{2},4->{4,5,6},5->{3,4,5,6},6->{4,5},7->{7,9,10,11},8->{},9->{4,5,6},10->{4,5 ,6},11->{4,5},12->{0,1}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12] | +- p:[7] c: [7] | `- p:[4,5,6] c: [6] | `- p:[4,5] c: [5] | `- p:[4] c: [4]) + Applied Processor: CloseWith True + Details: () YES