YES * Step 1: UnsatRules YES + Considered Problem: Rules: 0. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f1(A,1 + B,D,G1,D,H1,B,I,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [A >= 1 + B && B >= 0] (?,1) 1. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [I1 >= 1 + J && K >= 0 && H1 >= 1 + I1 && G1 >= 2] (?,1) 2. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [I1 >= 1 + J && K >= 0 && I1 >= 1 + H1 && G1 >= 2] (?,1) 3. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + I1 && K >= 0 && H1 >= 1 + I1 && G1 >= 2] (?,1) 4. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + I1 && K >= 0 && I1 >= 1 + H1 && G1 >= 2] (?,1) 5. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(A,B,C,D,E,F,G,H,I,M1,K,G1,L1,N,H1,J1,K1,N1,I1,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [K >= 0 && G1 >= 1 + J1 && H1 >= 2 && M = J] (?,1) 6. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(A,B,C,D,E,F,G,H,I,M1,K,G1,L1,N,H1,J1,K1,N1,I1,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [K >= 0 && J1 >= 1 + G1 && H1 >= 2 && M = J] (?,1) 7. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J1 >= 1 + J && T >= 0 && H1 >= 1 + J1 && G1 >= 2] (?,1) 8. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J1 >= 1 + J && T >= 0 && J1 >= 1 + H1 && G1 >= 2] (?,1) 9. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + J1 && T >= 0 && H1 >= 1 + J1 && G1 >= 2] (?,1) 10. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + J1 && T >= 0 && J1 >= 1 + H1 && G1 >= 2] (?,1) 11. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(A,B,C,D,E,F,G,H,I,K1,K,L,J1,N,G1,P,I1,L1,H1,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [G1 >= 2 && T >= 0 && M = J] (?,1) 12. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,W1,K,X,V1,X,I1,X,U1,X1,Q1,T,U,V,W,G1,H1,K1,N1,R1,C1,D1,E1,F1) [0 >= O1 && 0 >= I1 && 0 >= P1] (1,1) 13. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f1(J1,2,K1,L1,K1,F,G,H,I,J,K,G1,M,G1,J1,P,Q,R,S,T,U,V,W,H1,I1,G1,A1,K1,M1,D1,E1,F1) [J1 >= 2] (1,1) 14. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && C >= 1 + N && K1 >= 0 && G1 >= 2 && N >= 1 + C] (?,1) 15. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && C >= 1 + N && K1 >= 0 && G1 >= 2] (?,1) 16. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && N >= 1 + C && K1 >= 0 && G1 >= 2] (?,1) 17. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && N >= 1 + C && K1 >= 0 && G1 >= 2 && C >= 1 + N] (?,1) 18. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && G1 >= 1 + U1] (1,1) 19. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && U1 >= 1 + G1] (1,1) 20. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && G1 >= 1 + U1] (1,1) 21. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && U1 >= 1 + G1] (1,1) Signature: {(f1,32);(f10,32);(f3,32);(f4,32);(f9,32)} Flow Graph: [0->{0,14,15,16,17},1->{7,8,9,10,11},2->{7,8,9,10,11},3->{7,8,9,10,11},4->{7,8,9,10,11},5->{},6->{},7->{7 ,8,9,10,11},8->{7,8,9,10,11},9->{7,8,9,10,11},10->{7,8,9,10,11},11->{},12->{},13->{0,14,15,16,17},14->{7,8,9 ,10,11},15->{7,8,9,10,11},16->{7,8,9,10,11},17->{7,8,9,10,11},18->{},19->{},20->{},21->{}] + Applied Processor: UnsatRules + Details: Following transitions have unsatisfiable constraints and are removed: [14,17] * Step 2: UnsatPaths YES + Considered Problem: Rules: 0. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f1(A,1 + B,D,G1,D,H1,B,I,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [A >= 1 + B && B >= 0] (?,1) 1. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [I1 >= 1 + J && K >= 0 && H1 >= 1 + I1 && G1 >= 2] (?,1) 2. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [I1 >= 1 + J && K >= 0 && I1 >= 1 + H1 && G1 >= 2] (?,1) 3. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + I1 && K >= 0 && H1 >= 1 + I1 && G1 >= 2] (?,1) 4. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + I1 && K >= 0 && I1 >= 1 + H1 && G1 >= 2] (?,1) 5. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(A,B,C,D,E,F,G,H,I,M1,K,G1,L1,N,H1,J1,K1,N1,I1,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [K >= 0 && G1 >= 1 + J1 && H1 >= 2 && M = J] (?,1) 6. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(A,B,C,D,E,F,G,H,I,M1,K,G1,L1,N,H1,J1,K1,N1,I1,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [K >= 0 && J1 >= 1 + G1 && H1 >= 2 && M = J] (?,1) 7. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J1 >= 1 + J && T >= 0 && H1 >= 1 + J1 && G1 >= 2] (?,1) 8. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J1 >= 1 + J && T >= 0 && J1 >= 1 + H1 && G1 >= 2] (?,1) 9. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + J1 && T >= 0 && H1 >= 1 + J1 && G1 >= 2] (?,1) 10. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + J1 && T >= 0 && J1 >= 1 + H1 && G1 >= 2] (?,1) 11. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(A,B,C,D,E,F,G,H,I,K1,K,L,J1,N,G1,P,I1,L1,H1,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [G1 >= 2 && T >= 0 && M = J] (?,1) 12. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,W1,K,X,V1,X,I1,X,U1,X1,Q1,T,U,V,W,G1,H1,K1,N1,R1,C1,D1,E1,F1) [0 >= O1 && 0 >= I1 && 0 >= P1] (1,1) 13. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f1(J1,2,K1,L1,K1,F,G,H,I,J,K,G1,M,G1,J1,P,Q,R,S,T,U,V,W,H1,I1,G1,A1,K1,M1,D1,E1,F1) [J1 >= 2] (1,1) 15. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && C >= 1 + N && K1 >= 0 && G1 >= 2] (?,1) 16. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && N >= 1 + C && K1 >= 0 && G1 >= 2] (?,1) 18. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && G1 >= 1 + U1] (1,1) 19. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && U1 >= 1 + G1] (1,1) 20. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && G1 >= 1 + U1] (1,1) 21. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && U1 >= 1 + G1] (1,1) Signature: {(f1,32);(f10,32);(f3,32);(f4,32);(f9,32)} Flow Graph: [0->{0,15,16},1->{7,8,9,10,11},2->{7,8,9,10,11},3->{7,8,9,10,11},4->{7,8,9,10,11},5->{},6->{},7->{7,8,9,10 ,11},8->{7,8,9,10,11},9->{7,8,9,10,11},10->{7,8,9,10,11},11->{},12->{},13->{0,15,16},15->{7,8,9,10,11} ,16->{7,8,9,10,11},18->{},19->{},20->{},21->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(15,11),(16,11)] * Step 3: UnreachableRules YES + Considered Problem: Rules: 0. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f1(A,1 + B,D,G1,D,H1,B,I,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [A >= 1 + B && B >= 0] (?,1) 1. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [I1 >= 1 + J && K >= 0 && H1 >= 1 + I1 && G1 >= 2] (?,1) 2. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [I1 >= 1 + J && K >= 0 && I1 >= 1 + H1 && G1 >= 2] (?,1) 3. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + I1 && K >= 0 && H1 >= 1 + I1 && G1 >= 2] (?,1) 4. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + I1 && K >= 0 && I1 >= 1 + H1 && G1 >= 2] (?,1) 5. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(A,B,C,D,E,F,G,H,I,M1,K,G1,L1,N,H1,J1,K1,N1,I1,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [K >= 0 && G1 >= 1 + J1 && H1 >= 2 && M = J] (?,1) 6. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(A,B,C,D,E,F,G,H,I,M1,K,G1,L1,N,H1,J1,K1,N1,I1,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [K >= 0 && J1 >= 1 + G1 && H1 >= 2 && M = J] (?,1) 7. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J1 >= 1 + J && T >= 0 && H1 >= 1 + J1 && G1 >= 2] (?,1) 8. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J1 >= 1 + J && T >= 0 && J1 >= 1 + H1 && G1 >= 2] (?,1) 9. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + J1 && T >= 0 && H1 >= 1 + J1 && G1 >= 2] (?,1) 10. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + J1 && T >= 0 && J1 >= 1 + H1 && G1 >= 2] (?,1) 11. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(A,B,C,D,E,F,G,H,I,K1,K,L,J1,N,G1,P,I1,L1,H1,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [G1 >= 2 && T >= 0 && M = J] (?,1) 12. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,W1,K,X,V1,X,I1,X,U1,X1,Q1,T,U,V,W,G1,H1,K1,N1,R1,C1,D1,E1,F1) [0 >= O1 && 0 >= I1 && 0 >= P1] (1,1) 13. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f1(J1,2,K1,L1,K1,F,G,H,I,J,K,G1,M,G1,J1,P,Q,R,S,T,U,V,W,H1,I1,G1,A1,K1,M1,D1,E1,F1) [J1 >= 2] (1,1) 15. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && C >= 1 + N && K1 >= 0 && G1 >= 2] (?,1) 16. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && N >= 1 + C && K1 >= 0 && G1 >= 2] (?,1) 18. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && G1 >= 1 + U1] (1,1) 19. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && U1 >= 1 + G1] (1,1) 20. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && G1 >= 1 + U1] (1,1) 21. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && U1 >= 1 + G1] (1,1) Signature: {(f1,32);(f10,32);(f3,32);(f4,32);(f9,32)} Flow Graph: [0->{0,15,16},1->{7,8,9,10,11},2->{7,8,9,10,11},3->{7,8,9,10,11},4->{7,8,9,10,11},5->{},6->{},7->{7,8,9,10 ,11},8->{7,8,9,10,11},9->{7,8,9,10,11},10->{7,8,9,10,11},11->{},12->{},13->{0,15,16},15->{7,8,9,10},16->{7,8 ,9,10},18->{},19->{},20->{},21->{}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [1,2,3,4,5,6] * Step 4: FromIts YES + Considered Problem: Rules: 0. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f1(A,1 + B,D,G1,D,H1,B,I,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [A >= 1 + B && B >= 0] (?,1) 7. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J1 >= 1 + J && T >= 0 && H1 >= 1 + J1 && G1 >= 2] (?,1) 8. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J1 >= 1 + J && T >= 0 && J1 >= 1 + H1 && G1 >= 2] (?,1) 9. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + J1 && T >= 0 && H1 >= 1 + J1 && G1 >= 2] (?,1) 10. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1,F1) [J >= 1 + J1 && T >= 0 && J1 >= 1 + H1 && G1 >= 2] (?,1) 11. f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(A,B,C,D,E,F,G,H,I,K1,K,L,J1,N,G1,P,I1,L1,H1,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) [G1 >= 2 && T >= 0 && M = J] (?,1) 12. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,W1,K,X,V1,X,I1,X,U1,X1,Q1,T,U,V,W,G1,H1,K1,N1,R1,C1,D1,E1,F1) [0 >= O1 && 0 >= I1 && 0 >= P1] (1,1) 13. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f1(J1,2,K1,L1,K1,F,G,H,I,J,K,G1,M,G1,J1,P,Q,R,S,T,U,V,W,H1,I1,G1,A1,K1,M1,D1,E1,F1) [J1 >= 2] (1,1) 15. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && C >= 1 + N && K1 >= 0 && G1 >= 2] (?,1) 16. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && N >= 1 + C && K1 >= 0 && G1 >= 2] (?,1) 18. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && G1 >= 1 + U1] (1,1) 19. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && U1 >= 1 + G1] (1,1) 20. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && G1 >= 1 + U1] (1,1) 21. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1,F1) [0 >= 1 && U1 >= 1 + G1] (1,1) Signature: {(f1,32);(f10,32);(f3,32);(f4,32);(f9,32)} Flow Graph: [0->{0,15,16},7->{7,8,9,10,11},8->{7,8,9,10,11},9->{7,8,9,10,11},10->{7,8,9,10,11},11->{},12->{},13->{0,15 ,16},15->{7,8,9,10},16->{7,8,9,10},18->{},19->{},20->{},21->{}] + Applied Processor: FromIts + Details: () * Step 5: Decompose YES + Considered Problem: Rules: f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f1(A,1 + B,D,G1,D,H1,B,I,I ,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1 ,F1) [A >= 1 + B && B >= 0] f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M ,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1 ,F1) [J1 >= 1 + J && T >= 0 && H1 >= 1 + J1 && G1 >= 2] f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M ,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1 ,F1) [J1 >= 1 + J && T >= 0 && J1 >= 1 + H1 && G1 >= 2] f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M ,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1 ,F1) [J >= 1 + J1 && T >= 0 && H1 >= 1 + J1 && G1 >= 2] f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M ,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1 ,F1) [J >= 1 + J1 && T >= 0 && J1 >= 1 + H1 && G1 >= 2] f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(A,B,C,D,E,F,G,H,I,K1,K,L ,J1,N,G1,P,I1,L1,H1,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1 ,F1) [G1 >= 2 && T >= 0 && M = J] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,W1 ,K,X,V1,X,I1,X,U1,X1,Q1,T,U,V,W,G1,H1,K1,N1,R1,C1,D1,E1 ,F1) [0 >= O1 && 0 >= I1 && 0 >= P1] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f1(J1,2,K1,L1,K1,F,G,H,I,J,K ,G1,M,G1,J1,P,Q,R,S,T,U,V,W,H1,I1,G1,A1,K1,M1,D1,E1 ,F1) [J1 >= 2] f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C ,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I ,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && C >= 1 + N && K1 >= 0 && G1 >= 2] f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C ,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I ,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && N >= 1 + C && K1 >= 0 && G1 >= 2] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1 ,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1 ,F1) [0 >= 1 && G1 >= 1 + U1] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1 ,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1 ,F1) [0 >= 1 && U1 >= 1 + G1] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1 ,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1 ,F1) [0 >= 1 && G1 >= 1 + U1] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1 ,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1 ,F1) [0 >= 1 && U1 >= 1 + G1] Signature: {(f1,32);(f10,32);(f3,32);(f4,32);(f9,32)} Rule Graph: [0->{0,15,16},7->{7,8,9,10,11},8->{7,8,9,10,11},9->{7,8,9,10,11},10->{7,8,9,10,11},11->{},12->{},13->{0,15 ,16},15->{7,8,9,10},16->{7,8,9,10},18->{},19->{},20->{},21->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,7,8,9,10,11,12,13,15,16,18,19,20,21] | +- p:[0] c: [0] | `- p:[7,8,9,10] c: [10] | `- p:[7,8,9] c: [9] | `- p:[7,8] c: [8] | `- p:[7] c: [7] * Step 6: CloseWith YES + Considered Problem: (Rules: f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f1(A,1 + B,D,G1,D,H1,B,I,I ,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1 ,F1) [A >= 1 + B && B >= 0] f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M ,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1 ,F1) [J1 >= 1 + J && T >= 0 && H1 >= 1 + J1 && G1 >= 2] f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M ,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1 ,F1) [J1 >= 1 + J && T >= 0 && J1 >= 1 + H1 && G1 >= 2] f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M ,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1 ,F1) [J >= 1 + J1 && T >= 0 && H1 >= 1 + J1 && G1 >= 2] f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(A,B,C,D,E,F,G,H,I,J,K,M ,M,M,G1,H1,H1,J,S,-1 + T,I1,I,-1 + T,X,Y,Z,A1,B1,C1,D1,E1 ,F1) [J >= 1 + J1 && T >= 0 && J1 >= 1 + H1 && G1 >= 2] f10(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(A,B,C,D,E,F,G,H,I,K1,K,L ,J1,N,G1,P,I1,L1,H1,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1 ,F1) [G1 >= 2 && T >= 0 && M = J] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,W1 ,K,X,V1,X,I1,X,U1,X1,Q1,T,U,V,W,G1,H1,K1,N1,R1,C1,D1,E1 ,F1) [0 >= O1 && 0 >= I1 && 0 >= P1] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f1(J1,2,K1,L1,K1,F,G,H,I,J,K ,G1,M,G1,J1,P,Q,R,S,T,U,V,W,H1,I1,G1,A1,K1,M1,D1,E1 ,F1) [J1 >= 2] f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C ,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I ,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && C >= 1 + N && K1 >= 0 && G1 >= 2] f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f10(H1,K1,J1,R1,Q1,F,G,H,I,C ,T,N,N,N,G1,C,C,C,M1,T,U,V,W,X,Y,I1,L1,N1,C1,1 + T,I ,S1) [B >= A && B >= 0 && T1 >= G1 && U1 >= 2 && K1 >= U1 && N >= 1 + C && K1 >= 0 && G1 >= 2] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1 ,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1 ,F1) [0 >= 1 && G1 >= 1 + U1] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1 ,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1 ,F1) [0 >= 1 && U1 >= 1 + G1] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1 ,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1 ,F1) [0 >= 1 && G1 >= 1 + U1] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1) -> f4(J1,M1,L1,T1,S1,F,G,H,I,X1 ,K,G1,W1,D,1,U1,V1,O1,Q1,T,U,V,W,H1,I1,K1,N1,R1,C1,D1,E1 ,F1) [0 >= 1 && U1 >= 1 + G1] Signature: {(f1,32);(f10,32);(f3,32);(f4,32);(f9,32)} Rule Graph: [0->{0,15,16},7->{7,8,9,10,11},8->{7,8,9,10,11},9->{7,8,9,10,11},10->{7,8,9,10,11},11->{},12->{},13->{0,15 ,16},15->{7,8,9,10},16->{7,8,9,10},18->{},19->{},20->{},21->{}] ,We construct a looptree: P: [0,7,8,9,10,11,12,13,15,16,18,19,20,21] | +- p:[0] c: [0] | `- p:[7,8,9,10] c: [10] | `- p:[7,8,9] c: [9] | `- p:[7,8] c: [8] | `- p:[7] c: [7]) + Applied Processor: CloseWith True + Details: () YES