NO * Step 1: UnsatPaths NO + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,0,1,P,O,7,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] (?,1) 2. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,0,1,P,O,7,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] (?,1) 3. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,1 + C,1 + C,1 + E,1 + E,P,4,1,1,P,4,7,M,N) [7 >= P && P >= 1] (?,1) 4. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,C,C,E,E,3,P,0,0,3,P,2,M,N) [7 >= P && 3 >= P && P >= 1] (?,1) 5. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,C,C,E,E,3,P,0,0,3,P,2,M,N) [7 >= P && P >= 5] (?,1) 6. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,1 + C,1 + C,1 + E,1 + E,3,4,1,0,3,4,2,M,N) True (?,1) 7. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,H,1,P,O,7,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] (?,1) 8. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,H,1,P,O,7,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] (?,1) 9. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,1 + C,1 + C,1 + E,1 + E,P,4,1,1,P,4,7,M,N) [7 >= P && P >= 1] (?,1) 10. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f3(0,C,C,E,E,P,O,H,0,P,O,3,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] (?,1) 11. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f3(0,C,C,E,E,P,O,H,0,P,O,3,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] (?,1) 12. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f3(0,1 + C,1 + C,1 + E,1 + E,P,4,1,0,P,4,3,M,N) [7 >= P && P >= 1] (?,1) 13. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f6(1,C,C,E,E,P,O,H,1,P,O,6,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] (?,1) 14. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f6(1,C,C,E,E,P,O,H,1,P,O,6,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] (?,1) 15. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f6(1,1 + C,1 + C,1 + E,1 + E,P,4,1,1,P,4,6,M,N) [7 >= P && P >= 1] (?,1) 16. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f4(P,C,C,E,E,O,2,0,P,O,2,4,M,N) [7 >= O && 1 >= P && P >= 0 && O >= 1] (?,1) 17. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f4(P,C,C,E,E,O,7,1,P,O,7,4,M,N) [7 >= O && 1 >= P && P >= 0 && O >= 1 && H = 1] (?,1) 18. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,C,C,E,E,P,O,0,0,P,O,2,M,N) [M >= 1 + Q && N >= 1 + R && M >= 1 && N >= 1 && 7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1 && H = 1] (?,1) 19. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,C,C,E,E,P,O,0,0,P,O,2,M,N) [M >= 1 && M >= 1 + E && N >= 1 && N >= 1 + C && 7 >= O && 7 >= P && O >= 5 && P >= 1 && H = 1] (?,1) 20. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,1 + C,1 + C,1 + E,1 + E,P,4,0,0,P,4,2,M,N) [M >= 2 + E && N >= 2 + C && M >= 1 && N >= 1 && 7 >= P && P >= 1] (?,1) 21. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(0,C,C,E,E,P,O,H,0,P,O,7,M,N) [E >= M && C >= N && 7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] (?,1) 22. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(0,C,C,E,E,P,O,H,0,P,O,7,M,N) [E >= M && C >= N && 7 >= O && 7 >= P && O >= 5 && P >= 1] (?,1) 23. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(0,1 + C,1 + C,1 + E,1 + E,P,4,1,0,P,4,7,M,N) [1 + E >= M && 1 + C >= N && 7 >= P && P >= 1] (?,1) 24. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,H,1,P,O,7,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] (?,1) 25. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,H,1,P,O,7,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] (?,1) 26. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,1 + C,1 + C,1 + E,1 + E,P,4,1,1,P,4,7,M,N) [7 >= P && P >= 1] (?,1) Signature: {(f0,14);(f1,14);(f2,14);(f3,14);(f4,14);(f6,14);(f7,14)} Flow Graph: [0->{1,2,3,4,5,6},1->{},2->{},3->{},4->{7,8,9,10,11,12},5->{7,8,9,10,11,12},6->{7,8,9,10,11,12},7->{} ,8->{},9->{},10->{13,14,15},11->{13,14,15},12->{13,14,15},13->{16,17},14->{16,17},15->{16,17},16->{18,19,20 ,21,22,23,24,25,26},17->{18,19,20,21,22,23,24,25,26},18->{7,8,9,10,11,12},19->{7,8,9,10,11,12},20->{7,8,9,10 ,11,12},21->{},22->{},23->{},24->{},25->{},26->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(16,18),(16,19)] * Step 2: FromIts NO + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,0,1,P,O,7,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] (?,1) 2. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,0,1,P,O,7,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] (?,1) 3. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,1 + C,1 + C,1 + E,1 + E,P,4,1,1,P,4,7,M,N) [7 >= P && P >= 1] (?,1) 4. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,C,C,E,E,3,P,0,0,3,P,2,M,N) [7 >= P && 3 >= P && P >= 1] (?,1) 5. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,C,C,E,E,3,P,0,0,3,P,2,M,N) [7 >= P && P >= 5] (?,1) 6. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,1 + C,1 + C,1 + E,1 + E,3,4,1,0,3,4,2,M,N) True (?,1) 7. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,H,1,P,O,7,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] (?,1) 8. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,H,1,P,O,7,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] (?,1) 9. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,1 + C,1 + C,1 + E,1 + E,P,4,1,1,P,4,7,M,N) [7 >= P && P >= 1] (?,1) 10. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f3(0,C,C,E,E,P,O,H,0,P,O,3,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] (?,1) 11. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f3(0,C,C,E,E,P,O,H,0,P,O,3,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] (?,1) 12. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f3(0,1 + C,1 + C,1 + E,1 + E,P,4,1,0,P,4,3,M,N) [7 >= P && P >= 1] (?,1) 13. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f6(1,C,C,E,E,P,O,H,1,P,O,6,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] (?,1) 14. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f6(1,C,C,E,E,P,O,H,1,P,O,6,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] (?,1) 15. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f6(1,1 + C,1 + C,1 + E,1 + E,P,4,1,1,P,4,6,M,N) [7 >= P && P >= 1] (?,1) 16. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f4(P,C,C,E,E,O,2,0,P,O,2,4,M,N) [7 >= O && 1 >= P && P >= 0 && O >= 1] (?,1) 17. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f4(P,C,C,E,E,O,7,1,P,O,7,4,M,N) [7 >= O && 1 >= P && P >= 0 && O >= 1 && H = 1] (?,1) 18. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,C,C,E,E,P,O,0,0,P,O,2,M,N) [M >= 1 + Q && N >= 1 + R && M >= 1 && N >= 1 && 7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1 && H = 1] (?,1) 19. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,C,C,E,E,P,O,0,0,P,O,2,M,N) [M >= 1 && M >= 1 + E && N >= 1 && N >= 1 + C && 7 >= O && 7 >= P && O >= 5 && P >= 1 && H = 1] (?,1) 20. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,1 + C,1 + C,1 + E,1 + E,P,4,0,0,P,4,2,M,N) [M >= 2 + E && N >= 2 + C && M >= 1 && N >= 1 && 7 >= P && P >= 1] (?,1) 21. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(0,C,C,E,E,P,O,H,0,P,O,7,M,N) [E >= M && C >= N && 7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] (?,1) 22. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(0,C,C,E,E,P,O,H,0,P,O,7,M,N) [E >= M && C >= N && 7 >= O && 7 >= P && O >= 5 && P >= 1] (?,1) 23. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(0,1 + C,1 + C,1 + E,1 + E,P,4,1,0,P,4,7,M,N) [1 + E >= M && 1 + C >= N && 7 >= P && P >= 1] (?,1) 24. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,H,1,P,O,7,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] (?,1) 25. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,H,1,P,O,7,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] (?,1) 26. f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,1 + C,1 + C,1 + E,1 + E,P,4,1,1,P,4,7,M,N) [7 >= P && P >= 1] (?,1) Signature: {(f0,14);(f1,14);(f2,14);(f3,14);(f4,14);(f6,14);(f7,14)} Flow Graph: [0->{1,2,3,4,5,6},1->{},2->{},3->{},4->{7,8,9,10,11,12},5->{7,8,9,10,11,12},6->{7,8,9,10,11,12},7->{} ,8->{},9->{},10->{13,14,15},11->{13,14,15},12->{13,14,15},13->{16,17},14->{16,17},15->{16,17},16->{20,21,22 ,23,24,25,26},17->{18,19,20,21,22,23,24,25,26},18->{7,8,9,10,11,12},19->{7,8,9,10,11,12},20->{7,8,9,10,11 ,12},21->{},22->{},23->{},24->{},25->{},26->{}] + Applied Processor: FromIts + Details: () * Step 3: CloseWith NO + Considered Problem: Rules: f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) True f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,0,1,P,O,7,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,0,1,P,O,7,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,1 + C,1 + C,1 + E,1 + E,P,4,1,1,P,4,7,M,N) [7 >= P && P >= 1] f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,C,C,E,E,3,P,0,0,3,P,2,M,N) [7 >= P && 3 >= P && P >= 1] f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,C,C,E,E,3,P,0,0,3,P,2,M,N) [7 >= P && P >= 5] f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,1 + C,1 + C,1 + E,1 + E,3,4,1,0,3,4,2,M,N) True f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,H,1,P,O,7,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,H,1,P,O,7,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,1 + C,1 + C,1 + E,1 + E,P,4,1,1,P,4,7,M,N) [7 >= P && P >= 1] f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f3(0,C,C,E,E,P,O,H,0,P,O,3,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f3(0,C,C,E,E,P,O,H,0,P,O,3,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f3(0,1 + C,1 + C,1 + E,1 + E,P,4,1,0,P,4,3,M,N) [7 >= P && P >= 1] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f6(1,C,C,E,E,P,O,H,1,P,O,6,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f6(1,C,C,E,E,P,O,H,1,P,O,6,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f6(1,1 + C,1 + C,1 + E,1 + E,P,4,1,1,P,4,6,M,N) [7 >= P && P >= 1] f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f4(P,C,C,E,E,O,2,0,P,O,2,4,M,N) [7 >= O && 1 >= P && P >= 0 && O >= 1] f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f4(P,C,C,E,E,O,7,1,P,O,7,4,M,N) [7 >= O && 1 >= P && P >= 0 && O >= 1 && H = 1] f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,C,C,E,E,P,O,0,0,P,O,2,M,N) [M >= 1 + Q && N >= 1 + R && M >= 1 && N >= 1 && 7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1 && H = 1] f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,C,C,E,E,P,O,0,0,P,O,2,M,N) [M >= 1 && M >= 1 + E && N >= 1 && N >= 1 + C && 7 >= O && 7 >= P && O >= 5 && P >= 1 && H = 1] f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f2(0,1 + C,1 + C,1 + E,1 + E,P,4,0,0,P,4,2,M,N) [M >= 2 + E && N >= 2 + C && M >= 1 && N >= 1 && 7 >= P && P >= 1] f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(0,C,C,E,E,P,O,H,0,P,O,7,M,N) [E >= M && C >= N && 7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(0,C,C,E,E,P,O,H,0,P,O,7,M,N) [E >= M && C >= N && 7 >= O && 7 >= P && O >= 5 && P >= 1] f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(0,1 + C,1 + C,1 + E,1 + E,P,4,1,0,P,4,7,M,N) [1 + E >= M && 1 + C >= N && 7 >= P && P >= 1] f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,H,1,P,O,7,M,N) [7 >= O && 7 >= P && 3 >= O && O >= 1 && P >= 1] f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,C,C,E,E,P,O,H,1,P,O,7,M,N) [7 >= O && 7 >= P && O >= 5 && P >= 1] f4(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f7(1,1 + C,1 + C,1 + E,1 + E,P,4,1,1,P,4,7,M,N) [7 >= P && P >= 1] Signature: {(f0,14);(f1,14);(f2,14);(f3,14);(f4,14);(f6,14);(f7,14)} Rule Graph: [0->{1,2,3,4,5,6},1->{},2->{},3->{},4->{7,8,9,10,11,12},5->{7,8,9,10,11,12},6->{7,8,9,10,11,12},7->{} ,8->{},9->{},10->{13,14,15},11->{13,14,15},12->{13,14,15},13->{16,17},14->{16,17},15->{16,17},16->{20,21,22 ,23,24,25,26},17->{18,19,20,21,22,23,24,25,26},18->{7,8,9,10,11,12},19->{7,8,9,10,11,12},20->{7,8,9,10,11 ,12},21->{},22->{},23->{},24->{},25->{},26->{}] + Applied Processor: CloseWith False + Details: () NO