YES * Step 1: UnsatRules YES + Considered Problem: Rules: 0. start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> stop(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [2 >= A && B = C && D = E && F = G && H = I && J = K && L = M && N = O && P = Q && R = S && T = A] (?,1) 1. start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,1,Q,1,S,T) [A >= 3 && B = C && D = E && F = G && H = I && J = K && L = M && N = O && P = Q && R = S && T = A] (?,1) 2. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,N,O,1 + P,Q,R,S,T) [2 + 2*N + P >= A (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 3. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1 + 2*R,O,P,Q,T,S,T) [A >= 3 + 2*N + P (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 4. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1 + 2*R,O,P,Q,1 + 2*R,S,T) [A >= 3 + 2*N + P (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 5. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2 + 2*R,O,P,Q,T,S,T) [A >= 4 + 2*N + P (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 6. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2 + 2*R,O,P,Q,2 + 2*R,S,T) [A >= 4 + 2*N + P (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 7. lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,N,O,1 + P,Q,R,S,T) [2 + A + P >= 0 && N >= 1 && P >= 0 && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && T = A && R = A] (?,1) 8. lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1 + 2*R,O,P,Q,T,S,T) [0 >= 3 + A + P && N >= 1 && P >= 0 && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && T = A && R = A] (?,1) 9. lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1 + 2*R,O,P,Q,1 + 2*R,S,T) [0 >= 3 + A + P && N >= 1 && P >= 0 && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && T = A && R = A] (?,1) 10. lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2 + 2*R,O,P,Q,T,S,T) [0 >= 4 + A + P && N >= 1 && P >= 0 && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && T = A && R = A] (?,1) 11. lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2 + 2*R,O,P,Q,2 + 2*R,S,T) [0 >= 4 + A + P && N >= 1 && P >= 0 && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && T = A && R = A] (?,1) 12. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> stop(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [2 + L >= A (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 13. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,0,O,1 + P,Q,0,S,T) [N + R >= 1 (?,1) && R >= N && A + N >= 4 && A >= 3 && 1 >= N && B >= 1 + 2*J && 1 + B >= A && T = A && 2 + P = A && 3 + L = A] 14. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,P,Q,T,S,T) [A >= 4 + L (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 15. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,P,Q,1,S,T) [A >= 4 + L (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 16. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,P,Q,T,S,T) [A >= 5 + L (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 17. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,P,Q,2,S,T) [A >= 5 + L (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 18. lbl71(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl101(A,B,C,U,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [R >= 1 && R >= 1 + 2*J && 2 + 2*J >= R && P >= 1 && A >= 3 && P >= R && T = A && N = O && L = M] (?,1) 19. lbl71(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl43(A,P,C,D,E,F,G,H,I,J,K,L,M,N,O,1 + P,Q,R,S,T) [R >= 1 + 2*J && 2 + 2*J >= R && P >= 1 && A >= 3 && P >= R && T = A && N = O && L = M] (?,1) 20. lbl121(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl123(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,H,S,T) [R >= 1 + 2*H (?,1) && 2 + 2*H >= R && A >= 3 && R >= 1 && R >= 1 + 2*D && R >= 1 + 2*F && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && 2 + 2*F >= R && 2 + 2*D >= R && L = M && N = O && T = A] 21. lbl123(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,P,Q,R,S,T) [1 + 2*H >= 0 (?,1) && P >= 1 && 1 + 2*F >= 0 && 1 + 2*J >= 0 && 1 + 2*D >= 0 && P >= 1 + 2*J && P >= 1 + 2*F && P >= 1 + 2*D && P >= 1 + 2*H && 1 + 2*D >= 2*F && 1 + 2*H >= 2*J && 1 + 2*H >= 2*D && 1 + 2*H >= 2*F && 1 + 2*J >= 2*D && 1 + 2*J >= 2*F && 1 + 2*D >= 2*J && 1 + 2*D >= 2*H && 1 + 2*F >= 2*D && 1 + 2*F >= 2*J && 1 + 2*F >= 2*H && 1 + 2*J >= 2*H && A >= 3 && R = H && L = M && T = A && N = O] 22. lbl111(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl121(A,B,C,D,E,F,G,U,I,J,K,L,M,N,O,P,Q,R,S,T) [R >= 1 + 2*F (?,1) && 2 + 2*F >= R && A >= 3 && R >= 1 && R >= 1 + 2*D && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && 2 + 2*D >= R && L = M && N = O && T = A] 23. lbl101(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl111(A,B,C,D,E,U,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [R >= 1 + 2*D (?,1) && 2 + 2*D >= R && A >= 3 && R >= 1 && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && L = M && N = O && T = A] 24. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,P,Q,P,S,T) [A >= 2 + B (?,1) && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 25. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> stop(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,0,Q,R,S,T) [1 + B >= A (?,1) && 1 >= A && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 26. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,0,M,0,O,1,Q,0,S,T) [B >= 1 (?,1) && 0 >= 1 && R >= 1 + 2*J && 2 + 2*J >= R && B >= R && T = 2 && P = 1 + B && L = M && N = O && A = 2] 27. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,0,Q,T,S,T) [A >= 3 (?,1) && 1 + B >= A && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 28. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,0,Q,1,S,T) [A >= 3 (?,1) && 1 + B >= A && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 29. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,0,Q,T,S,T) [A >= 4 (?,1) && 1 + B >= A && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 30. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,0,Q,2,S,T) [A >= 4 (?,1) && 1 + B >= A && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 31. start0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> start(A,C,C,E,E,G,G,I,I,K,K,M,M,O,O,Q,Q,S,S,A) True (1,1) Signature: {(lbl101,20) ;(lbl111,20) ;(lbl121,20) ;(lbl123,20) ;(lbl133,20) ;(lbl271,20) ;(lbl281,20) ;(lbl43,20) ;(lbl71,20) ;(start,20) ;(start0,20) ;(stop,20)} Flow Graph: [0->{},1->{18,19},2->{12,13,14,15,16,17},3->{7,8,9,10,11},4->{2,3,4,5,6},5->{7,8,9,10,11},6->{2,3,4,5,6} ,7->{12,13,14,15,16,17},8->{7,8,9,10,11},9->{2,3,4,5,6},10->{7,8,9,10,11},11->{2,3,4,5,6},12->{},13->{12,13 ,14,15,16,17},14->{7,8,9,10,11},15->{2,3,4,5,6},16->{7,8,9,10,11},17->{2,3,4,5,6},18->{23},19->{24,25,26,27 ,28,29,30},20->{21},21->{18,19},22->{20},23->{22},24->{18,19},25->{},26->{12,13,14,15,16,17},27->{7,8,9,10 ,11},28->{2,3,4,5,6},29->{7,8,9,10,11},30->{2,3,4,5,6},31->{0,1}] + Applied Processor: UnsatRules + Details: Following transitions have unsatisfiable constraints and are removed: [8,9,10,11,25,26] * Step 2: UnsatPaths YES + Considered Problem: Rules: 0. start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> stop(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [2 >= A && B = C && D = E && F = G && H = I && J = K && L = M && N = O && P = Q && R = S && T = A] (?,1) 1. start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,1,Q,1,S,T) [A >= 3 && B = C && D = E && F = G && H = I && J = K && L = M && N = O && P = Q && R = S && T = A] (?,1) 2. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,N,O,1 + P,Q,R,S,T) [2 + 2*N + P >= A (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 3. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1 + 2*R,O,P,Q,T,S,T) [A >= 3 + 2*N + P (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 4. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1 + 2*R,O,P,Q,1 + 2*R,S,T) [A >= 3 + 2*N + P (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 5. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2 + 2*R,O,P,Q,T,S,T) [A >= 4 + 2*N + P (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 6. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2 + 2*R,O,P,Q,2 + 2*R,S,T) [A >= 4 + 2*N + P (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 7. lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,N,O,1 + P,Q,R,S,T) [2 + A + P >= 0 && N >= 1 && P >= 0 && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && T = A && R = A] (?,1) 12. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> stop(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [2 + L >= A (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 13. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,0,O,1 + P,Q,0,S,T) [N + R >= 1 (?,1) && R >= N && A + N >= 4 && A >= 3 && 1 >= N && B >= 1 + 2*J && 1 + B >= A && T = A && 2 + P = A && 3 + L = A] 14. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,P,Q,T,S,T) [A >= 4 + L (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 15. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,P,Q,1,S,T) [A >= 4 + L (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 16. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,P,Q,T,S,T) [A >= 5 + L (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 17. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,P,Q,2,S,T) [A >= 5 + L (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 18. lbl71(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl101(A,B,C,U,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [R >= 1 && R >= 1 + 2*J && 2 + 2*J >= R && P >= 1 && A >= 3 && P >= R && T = A && N = O && L = M] (?,1) 19. lbl71(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl43(A,P,C,D,E,F,G,H,I,J,K,L,M,N,O,1 + P,Q,R,S,T) [R >= 1 + 2*J && 2 + 2*J >= R && P >= 1 && A >= 3 && P >= R && T = A && N = O && L = M] (?,1) 20. lbl121(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl123(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,H,S,T) [R >= 1 + 2*H (?,1) && 2 + 2*H >= R && A >= 3 && R >= 1 && R >= 1 + 2*D && R >= 1 + 2*F && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && 2 + 2*F >= R && 2 + 2*D >= R && L = M && N = O && T = A] 21. lbl123(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,P,Q,R,S,T) [1 + 2*H >= 0 (?,1) && P >= 1 && 1 + 2*F >= 0 && 1 + 2*J >= 0 && 1 + 2*D >= 0 && P >= 1 + 2*J && P >= 1 + 2*F && P >= 1 + 2*D && P >= 1 + 2*H && 1 + 2*D >= 2*F && 1 + 2*H >= 2*J && 1 + 2*H >= 2*D && 1 + 2*H >= 2*F && 1 + 2*J >= 2*D && 1 + 2*J >= 2*F && 1 + 2*D >= 2*J && 1 + 2*D >= 2*H && 1 + 2*F >= 2*D && 1 + 2*F >= 2*J && 1 + 2*F >= 2*H && 1 + 2*J >= 2*H && A >= 3 && R = H && L = M && T = A && N = O] 22. lbl111(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl121(A,B,C,D,E,F,G,U,I,J,K,L,M,N,O,P,Q,R,S,T) [R >= 1 + 2*F (?,1) && 2 + 2*F >= R && A >= 3 && R >= 1 && R >= 1 + 2*D && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && 2 + 2*D >= R && L = M && N = O && T = A] 23. lbl101(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl111(A,B,C,D,E,U,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [R >= 1 + 2*D (?,1) && 2 + 2*D >= R && A >= 3 && R >= 1 && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && L = M && N = O && T = A] 24. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,P,Q,P,S,T) [A >= 2 + B (?,1) && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 27. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,0,Q,T,S,T) [A >= 3 (?,1) && 1 + B >= A && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 28. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,0,Q,1,S,T) [A >= 3 (?,1) && 1 + B >= A && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 29. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,0,Q,T,S,T) [A >= 4 (?,1) && 1 + B >= A && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 30. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,0,Q,2,S,T) [A >= 4 (?,1) && 1 + B >= A && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 31. start0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> start(A,C,C,E,E,G,G,I,I,K,K,M,M,O,O,Q,Q,S,S,A) True (1,1) Signature: {(lbl101,20) ;(lbl111,20) ;(lbl121,20) ;(lbl123,20) ;(lbl133,20) ;(lbl271,20) ;(lbl281,20) ;(lbl43,20) ;(lbl71,20) ;(start,20) ;(start0,20) ;(stop,20)} Flow Graph: [0->{},1->{18,19},2->{12,13,14,15,16,17},3->{7},4->{2,3,4,5,6},5->{7},6->{2,3,4,5,6},7->{12,13,14,15,16 ,17},12->{},13->{12,13,14,15,16,17},14->{7},15->{2,3,4,5,6},16->{7},17->{2,3,4,5,6},18->{23},19->{24,27,28 ,29,30},20->{21},21->{18,19},22->{20},23->{22},24->{18,19},27->{7},28->{2,3,4,5,6},29->{7},30->{2,3,4,5,6} ,31->{0,1}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,12),(7,12),(13,13),(13,14),(13,15),(13,16),(13,17)] * Step 3: FromIts YES + Considered Problem: Rules: 0. start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> stop(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [2 >= A && B = C && D = E && F = G && H = I && J = K && L = M && N = O && P = Q && R = S && T = A] (?,1) 1. start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,1,Q,1,S,T) [A >= 3 && B = C && D = E && F = G && H = I && J = K && L = M && N = O && P = Q && R = S && T = A] (?,1) 2. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,N,O,1 + P,Q,R,S,T) [2 + 2*N + P >= A (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 3. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1 + 2*R,O,P,Q,T,S,T) [A >= 3 + 2*N + P (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 4. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1 + 2*R,O,P,Q,1 + 2*R,S,T) [A >= 3 + 2*N + P (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 5. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2 + 2*R,O,P,Q,T,S,T) [A >= 4 + 2*N + P (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 6. lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2 + 2*R,O,P,Q,2 + 2*R,S,T) [A >= 4 + 2*N + P (?,1) && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] 7. lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,N,O,1 + P,Q,R,S,T) [2 + A + P >= 0 && N >= 1 && P >= 0 && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && T = A && R = A] (?,1) 12. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> stop(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [2 + L >= A (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 13. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,0,O,1 + P,Q,0,S,T) [N + R >= 1 (?,1) && R >= N && A + N >= 4 && A >= 3 && 1 >= N && B >= 1 + 2*J && 1 + B >= A && T = A && 2 + P = A && 3 + L = A] 14. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,P,Q,T,S,T) [A >= 4 + L (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 15. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,P,Q,1,S,T) [A >= 4 + L (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 16. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,P,Q,T,S,T) [A >= 5 + L (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 17. lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,P,Q,2,S,T) [A >= 5 + L (?,1) && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] 18. lbl71(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl101(A,B,C,U,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [R >= 1 && R >= 1 + 2*J && 2 + 2*J >= R && P >= 1 && A >= 3 && P >= R && T = A && N = O && L = M] (?,1) 19. lbl71(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl43(A,P,C,D,E,F,G,H,I,J,K,L,M,N,O,1 + P,Q,R,S,T) [R >= 1 + 2*J && 2 + 2*J >= R && P >= 1 && A >= 3 && P >= R && T = A && N = O && L = M] (?,1) 20. lbl121(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl123(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,H,S,T) [R >= 1 + 2*H (?,1) && 2 + 2*H >= R && A >= 3 && R >= 1 && R >= 1 + 2*D && R >= 1 + 2*F && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && 2 + 2*F >= R && 2 + 2*D >= R && L = M && N = O && T = A] 21. lbl123(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,P,Q,R,S,T) [1 + 2*H >= 0 (?,1) && P >= 1 && 1 + 2*F >= 0 && 1 + 2*J >= 0 && 1 + 2*D >= 0 && P >= 1 + 2*J && P >= 1 + 2*F && P >= 1 + 2*D && P >= 1 + 2*H && 1 + 2*D >= 2*F && 1 + 2*H >= 2*J && 1 + 2*H >= 2*D && 1 + 2*H >= 2*F && 1 + 2*J >= 2*D && 1 + 2*J >= 2*F && 1 + 2*D >= 2*J && 1 + 2*D >= 2*H && 1 + 2*F >= 2*D && 1 + 2*F >= 2*J && 1 + 2*F >= 2*H && 1 + 2*J >= 2*H && A >= 3 && R = H && L = M && T = A && N = O] 22. lbl111(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl121(A,B,C,D,E,F,G,U,I,J,K,L,M,N,O,P,Q,R,S,T) [R >= 1 + 2*F (?,1) && 2 + 2*F >= R && A >= 3 && R >= 1 && R >= 1 + 2*D && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && 2 + 2*D >= R && L = M && N = O && T = A] 23. lbl101(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl111(A,B,C,D,E,U,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [R >= 1 + 2*D (?,1) && 2 + 2*D >= R && A >= 3 && R >= 1 && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && L = M && N = O && T = A] 24. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,P,Q,P,S,T) [A >= 2 + B (?,1) && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 27. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,0,Q,T,S,T) [A >= 3 (?,1) && 1 + B >= A && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 28. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,0,Q,1,S,T) [A >= 3 (?,1) && 1 + B >= A && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 29. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,0,Q,T,S,T) [A >= 4 (?,1) && 1 + B >= A && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 30. lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,0,Q,2,S,T) [A >= 4 (?,1) && 1 + B >= A && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] 31. start0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> start(A,C,C,E,E,G,G,I,I,K,K,M,M,O,O,Q,Q,S,S,A) True (1,1) Signature: {(lbl101,20) ;(lbl111,20) ;(lbl121,20) ;(lbl123,20) ;(lbl133,20) ;(lbl271,20) ;(lbl281,20) ;(lbl43,20) ;(lbl71,20) ;(start,20) ;(start0,20) ;(stop,20)} Flow Graph: [0->{},1->{18,19},2->{13,14,15,16,17},3->{7},4->{2,3,4,5,6},5->{7},6->{2,3,4,5,6},7->{13,14,15,16,17} ,12->{},13->{12},14->{7},15->{2,3,4,5,6},16->{7},17->{2,3,4,5,6},18->{23},19->{24,27,28,29,30},20->{21} ,21->{18,19},22->{20},23->{22},24->{18,19},27->{7},28->{2,3,4,5,6},29->{7},30->{2,3,4,5,6},31->{0,1}] + Applied Processor: FromIts + Details: () * Step 4: Decompose YES + Considered Problem: Rules: start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> stop(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S ,T) [2 >= A && B = C && D = E && F = G && H = I && J = K && L = M && N = O && P = Q && R = S && T = A] start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,1,Q,1,S ,T) [A >= 3 && B = C && D = E && F = G && H = I && J = K && L = M && N = O && P = Q && R = S && T = A] lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,N,O,1 + P,Q,R,S ,T) [2 + 2*N + P >= A && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1 + 2*R,O,P,Q,T,S ,T) [A >= 3 + 2*N + P && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1 + 2*R,O,P,Q,1 + 2*R,S ,T) [A >= 3 + 2*N + P && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2 + 2*R,O,P,Q,T,S ,T) [A >= 4 + 2*N + P && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2 + 2*R,O,P,Q,2 + 2*R,S ,T) [A >= 4 + 2*N + P && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,N,O,1 + P,Q,R,S ,T) [2 + A + P >= 0 && N >= 1 && P >= 0 && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && T = A && R = A] lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> stop(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S ,T) [2 + L >= A && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,0,O,1 + P,Q,0,S ,T) [N + R >= 1 && R >= N && A + N >= 4 && A >= 3 && 1 >= N && B >= 1 + 2*J && 1 + B >= A && T = A && 2 + P = A && 3 + L = A] lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,P,Q,T,S ,T) [A >= 4 + L && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,P,Q,1,S ,T) [A >= 4 + L && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,P,Q,T,S ,T) [A >= 5 + L && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,P,Q,2,S ,T) [A >= 5 + L && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] lbl71(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl101(A,B,C,U,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S ,T) [R >= 1 && R >= 1 + 2*J && 2 + 2*J >= R && P >= 1 && A >= 3 && P >= R && T = A && N = O && L = M] lbl71(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl43(A,P,C,D,E,F,G,H,I,J,K,L,M,N,O,1 + P,Q,R,S ,T) [R >= 1 + 2*J && 2 + 2*J >= R && P >= 1 && A >= 3 && P >= R && T = A && N = O && L = M] lbl121(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl123(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,H,S ,T) [R >= 1 + 2*H && 2 + 2*H >= R && A >= 3 && R >= 1 && R >= 1 + 2*D && R >= 1 + 2*F && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && 2 + 2*F >= R && 2 + 2*D >= R && L = M && N = O && T = A] lbl123(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,P,Q,R,S ,T) [1 + 2*H >= 0 && P >= 1 && 1 + 2*F >= 0 && 1 + 2*J >= 0 && 1 + 2*D >= 0 && P >= 1 + 2*J && P >= 1 + 2*F && P >= 1 + 2*D && P >= 1 + 2*H && 1 + 2*D >= 2*F && 1 + 2*H >= 2*J && 1 + 2*H >= 2*D && 1 + 2*H >= 2*F && 1 + 2*J >= 2*D && 1 + 2*J >= 2*F && 1 + 2*D >= 2*J && 1 + 2*D >= 2*H && 1 + 2*F >= 2*D && 1 + 2*F >= 2*J && 1 + 2*F >= 2*H && 1 + 2*J >= 2*H && A >= 3 && R = H && L = M && T = A && N = O] lbl111(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl121(A,B,C,D,E,F,G,U,I,J,K,L,M,N,O,P,Q,R,S ,T) [R >= 1 + 2*F && 2 + 2*F >= R && A >= 3 && R >= 1 && R >= 1 + 2*D && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && 2 + 2*D >= R && L = M && N = O && T = A] lbl101(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl111(A,B,C,D,E,U,G,H,I,J,K,L,M,N,O,P,Q,R,S ,T) [R >= 1 + 2*D && 2 + 2*D >= R && A >= 3 && R >= 1 && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && L = M && N = O && T = A] lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,P,Q,P,S ,T) [A >= 2 + B && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,0,Q,T,S ,T) [A >= 3 && 1 + B >= A && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,0,Q,1,S ,T) [A >= 3 && 1 + B >= A && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,0,Q,T,S ,T) [A >= 4 && 1 + B >= A && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,0,Q,2,S ,T) [A >= 4 && 1 + B >= A && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] start0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> start(A,C,C,E,E,G,G,I,I,K,K,M,M,O,O,Q,Q,S,S ,A) True Signature: {(lbl101,20) ;(lbl111,20) ;(lbl121,20) ;(lbl123,20) ;(lbl133,20) ;(lbl271,20) ;(lbl281,20) ;(lbl43,20) ;(lbl71,20) ;(start,20) ;(start0,20) ;(stop,20)} Rule Graph: [0->{},1->{18,19},2->{13,14,15,16,17},3->{7},4->{2,3,4,5,6},5->{7},6->{2,3,4,5,6},7->{13,14,15,16,17} ,12->{},13->{12},14->{7},15->{2,3,4,5,6},16->{7},17->{2,3,4,5,6},18->{23},19->{24,27,28,29,30},20->{21} ,21->{18,19},22->{20},23->{22},24->{18,19},27->{7},28->{2,3,4,5,6},29->{7},30->{2,3,4,5,6},31->{0,1}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31] | +- p:[18,21,20,22,23,24,19] c: [19,24] | | | `- p:[18,21,20,22,23] c: [18,20,21,22,23] | `- p:[7,3,4,6,15,2,17,5,14,16] c: [17] | `- p:[2,4,6,15,7,3,5,14,16] c: [16] | `- p:[2,4,6,15,7,3,5,14] c: [15] | +- p:[4,6] c: [6] | | | `- p:[4] c: [4] | `- p:[14,7] c: [7,14] * Step 5: CloseWith YES + Considered Problem: (Rules: start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> stop(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S ,T) [2 >= A && B = C && D = E && F = G && H = I && J = K && L = M && N = O && P = Q && R = S && T = A] start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,1,Q,1,S ,T) [A >= 3 && B = C && D = E && F = G && H = I && J = K && L = M && N = O && P = Q && R = S && T = A] lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,N,O,1 + P,Q,R,S ,T) [2 + 2*N + P >= A && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1 + 2*R,O,P,Q,T,S ,T) [A >= 3 + 2*N + P && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1 + 2*R,O,P,Q,1 + 2*R,S ,T) [A >= 3 + 2*N + P && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2 + 2*R,O,P,Q,T,S ,T) [A >= 4 + 2*N + P && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2 + 2*R,O,P,Q,2 + 2*R,S ,T) [A >= 4 + 2*N + P && P >= 0 && N >= 1 && A >= 2*N + P && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && R = N && T = A] lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,N,O,1 + P,Q,R,S ,T) [2 + A + P >= 0 && N >= 1 && P >= 0 && A >= 2 + N + P && B >= 1 + 2*J && 1 + B >= A && T = A && R = A] lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> stop(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S ,T) [2 + L >= A && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl133(A,B,C,D,E,F,G,H,I,J,K,P,M,0,O,1 + P,Q,0,S ,T) [N + R >= 1 && R >= N && A + N >= 4 && A >= 3 && 1 >= N && B >= 1 + 2*J && 1 + B >= A && T = A && 2 + P = A && 3 + L = A] lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,P,Q,T,S ,T) [A >= 4 + L && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,P,Q,1,S ,T) [A >= 4 + L && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,P,Q,T,S ,T) [A >= 5 + L && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] lbl133(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,P,Q,2,S ,T) [A >= 5 + L && 2 + L + N + R >= A && R >= N && L + N >= 1 && L >= 0 && A >= 2 + L + N && B >= 1 + 2*J && 1 + B >= A && P = 1 + L && T = A] lbl71(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl101(A,B,C,U,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S ,T) [R >= 1 && R >= 1 + 2*J && 2 + 2*J >= R && P >= 1 && A >= 3 && P >= R && T = A && N = O && L = M] lbl71(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl43(A,P,C,D,E,F,G,H,I,J,K,L,M,N,O,1 + P,Q,R,S ,T) [R >= 1 + 2*J && 2 + 2*J >= R && P >= 1 && A >= 3 && P >= R && T = A && N = O && L = M] lbl121(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl123(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,H,S ,T) [R >= 1 + 2*H && 2 + 2*H >= R && A >= 3 && R >= 1 && R >= 1 + 2*D && R >= 1 + 2*F && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && 2 + 2*F >= R && 2 + 2*D >= R && L = M && N = O && T = A] lbl123(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,P,Q,R,S ,T) [1 + 2*H >= 0 && P >= 1 && 1 + 2*F >= 0 && 1 + 2*J >= 0 && 1 + 2*D >= 0 && P >= 1 + 2*J && P >= 1 + 2*F && P >= 1 + 2*D && P >= 1 + 2*H && 1 + 2*D >= 2*F && 1 + 2*H >= 2*J && 1 + 2*H >= 2*D && 1 + 2*H >= 2*F && 1 + 2*J >= 2*D && 1 + 2*J >= 2*F && 1 + 2*D >= 2*J && 1 + 2*D >= 2*H && 1 + 2*F >= 2*D && 1 + 2*F >= 2*J && 1 + 2*F >= 2*H && 1 + 2*J >= 2*H && A >= 3 && R = H && L = M && T = A && N = O] lbl111(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl121(A,B,C,D,E,F,G,U,I,J,K,L,M,N,O,P,Q,R,S ,T) [R >= 1 + 2*F && 2 + 2*F >= R && A >= 3 && R >= 1 && R >= 1 + 2*D && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && 2 + 2*D >= R && L = M && N = O && T = A] lbl101(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl111(A,B,C,D,E,U,G,H,I,J,K,L,M,N,O,P,Q,R,S ,T) [R >= 1 + 2*D && 2 + 2*D >= R && A >= 3 && R >= 1 && R >= 1 + 2*J && P >= R && 2 + 2*J >= R && L = M && N = O && T = A] lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl71(A,B,C,D,E,F,G,H,I,U,K,L,M,N,O,P,Q,P,S ,T) [A >= 2 + B && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,0,Q,T,S ,T) [A >= 3 && 1 + B >= A && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,1,O,0,Q,1,S ,T) [A >= 3 && 1 + B >= A && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl281(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,0,Q,T,S ,T) [A >= 4 && 1 + B >= A && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] lbl43(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> lbl271(A,B,C,D,E,F,G,H,I,J,K,L,M,2,O,0,Q,2,S ,T) [A >= 4 && 1 + B >= A && A >= 3 && R >= 1 + 2*J && B >= 1 && 2 + 2*J >= R && B >= R && P = 1 + B && L = M && N = O && T = A] start0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> start(A,C,C,E,E,G,G,I,I,K,K,M,M,O,O,Q,Q,S,S ,A) True Signature: {(lbl101,20) ;(lbl111,20) ;(lbl121,20) ;(lbl123,20) ;(lbl133,20) ;(lbl271,20) ;(lbl281,20) ;(lbl43,20) ;(lbl71,20) ;(start,20) ;(start0,20) ;(stop,20)} Rule Graph: [0->{},1->{18,19},2->{13,14,15,16,17},3->{7},4->{2,3,4,5,6},5->{7},6->{2,3,4,5,6},7->{13,14,15,16,17} ,12->{},13->{12},14->{7},15->{2,3,4,5,6},16->{7},17->{2,3,4,5,6},18->{23},19->{24,27,28,29,30},20->{21} ,21->{18,19},22->{20},23->{22},24->{18,19},27->{7},28->{2,3,4,5,6},29->{7},30->{2,3,4,5,6},31->{0,1}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31] | +- p:[18,21,20,22,23,24,19] c: [19,24] | | | `- p:[18,21,20,22,23] c: [18,20,21,22,23] | `- p:[7,3,4,6,15,2,17,5,14,16] c: [17] | `- p:[2,4,6,15,7,3,5,14,16] c: [16] | `- p:[2,4,6,15,7,3,5,14] c: [15] | +- p:[4,6] c: [6] | | | `- p:[4] c: [4] | `- p:[14,7] c: [7,14]) + Applied Processor: CloseWith True + Details: () YES