YES(?,PRIMREC) * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 2] (1,1) 1. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 1 + B] (?,1) 2. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,C,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 + S && A >= D] (?,1) 3. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,S,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [S >= C && A >= D] (?,1) 4. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,1 + D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 5. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,1 + D,E,F,G,0,0,J,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 6. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,1 + D,E,F,G,S,T,J + T,K,L,M,N,O,P,Q,R) [0 >= 1 + S && A >= D] (?,1) 7. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,1 + D,E,F,G,S,T,J + T,K,L,M,N,O,P,Q,R) [S >= 1 && A >= D] (?,1) 8. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= K] (?,1) 9. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,1 + D,E,F,G,H,I,S,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 10. f62(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f62(A,B,C,1 + D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 11. f62(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,1 + K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 12. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f62(A,B,C,D,E,F,G,H,I,J,K,S,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 13. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [K >= 1 + A] (?,1) 14. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,S,T,T,P,Q,R) [U >= 0 && D >= 1 + A] (?,1) 15. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,-1*S,T,S,R) [0 >= 1 + U && D >= 1 + A] (?,1) 16. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 17. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,0) [D >= 1 + A && C = 0] (?,1) 18. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [0 >= 1 + C && D >= 1 + A] (?,1) 19. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 && D >= 1 + A] (?,1) 20. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && 0 >= 1 + S] (?,1) 21. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && S >= 1] (?,1) 22. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A] (?,1) Signature: {(f1,18);(f2,18);(f26,18);(f32,18);(f5,18);(f52,18);(f55,18);(f62,18);(f9,18)} Flow Graph: [0->{1,20,21,22},1->{2,3,17,18,19},2->{2,3,17,18,19},3->{2,3,17,18,19},4->{4,16},5->{5,6,7,14,15},6->{5,6 ,7,14,15},7->{5,6,7,14,15},8->{9,12},9->{9,12},10->{10,11},11->{8,13},12->{10,11},13->{1,20,21,22},14->{8 ,13},15->{8,13},16->{5,6,7,14,15},17->{1,20,21,22},18->{4,16},19->{4,16},20->{},21->{},22->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 2] (1,1) 1. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 1 + B] (?,1) 2. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,C,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 + S && A >= D] (?,1) 3. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,S,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [S >= C && A >= D] (?,1) 4. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,1 + D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 5. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,1 + D,E,F,G,0,0,J,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 6. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,1 + D,E,F,G,S,T,J + T,K,L,M,N,O,P,Q,R) [0 >= 1 + S && A >= D] (?,1) 7. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,1 + D,E,F,G,S,T,J + T,K,L,M,N,O,P,Q,R) [S >= 1 && A >= D] (?,1) 8. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= K] (?,1) 9. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,1 + D,E,F,G,H,I,S,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 10. f62(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f62(A,B,C,1 + D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 11. f62(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,1 + K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 12. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f62(A,B,C,D,E,F,G,H,I,J,K,S,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 13. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [K >= 1 + A] (?,1) 14. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,S,T,T,P,Q,R) [U >= 0 && D >= 1 + A] (?,1) 15. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,-1*S,T,S,R) [0 >= 1 + U && D >= 1 + A] (?,1) 16. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 17. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,0) [D >= 1 + A && C = 0] (?,1) 18. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [0 >= 1 + C && D >= 1 + A] (?,1) 19. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 && D >= 1 + A] (?,1) 20. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && 0 >= 1 + S] (1,1) 21. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && S >= 1] (1,1) 22. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A] (1,1) Signature: {(f1,18);(f2,18);(f26,18);(f32,18);(f5,18);(f52,18);(f55,18);(f62,18);(f9,18)} Flow Graph: [0->{1,20,21,22},1->{2,3,17,18,19},2->{2,3,17,18,19},3->{2,3,17,18,19},4->{4,16},5->{5,6,7,14,15},6->{5,6 ,7,14,15},7->{5,6,7,14,15},8->{9,12},9->{9,12},10->{10,11},11->{8,13},12->{10,11},13->{1,20,21,22},14->{8 ,13},15->{8,13},16->{5,6,7,14,15},17->{1,20,21,22},18->{4,16},19->{4,16},20->{},21->{},22->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,18) ,(1,19) ,(12,10) ,(16,5) ,(16,6) ,(16,7) ,(18,4) ,(19,4)] * Step 3: UnreachableRules MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 2] (1,1) 1. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 1 + B] (?,1) 2. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,C,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 + S && A >= D] (?,1) 3. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,S,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [S >= C && A >= D] (?,1) 4. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,1 + D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 5. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,1 + D,E,F,G,0,0,J,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 6. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,1 + D,E,F,G,S,T,J + T,K,L,M,N,O,P,Q,R) [0 >= 1 + S && A >= D] (?,1) 7. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,1 + D,E,F,G,S,T,J + T,K,L,M,N,O,P,Q,R) [S >= 1 && A >= D] (?,1) 8. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= K] (?,1) 9. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,1 + D,E,F,G,H,I,S,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 10. f62(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f62(A,B,C,1 + D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 11. f62(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,1 + K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 12. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f62(A,B,C,D,E,F,G,H,I,J,K,S,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 13. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [K >= 1 + A] (?,1) 14. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,S,T,T,P,Q,R) [U >= 0 && D >= 1 + A] (?,1) 15. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,-1*S,T,S,R) [0 >= 1 + U && D >= 1 + A] (?,1) 16. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 17. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,0) [D >= 1 + A && C = 0] (?,1) 18. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [0 >= 1 + C && D >= 1 + A] (?,1) 19. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 && D >= 1 + A] (?,1) 20. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && 0 >= 1 + S] (1,1) 21. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && S >= 1] (1,1) 22. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A] (1,1) Signature: {(f1,18);(f2,18);(f26,18);(f32,18);(f5,18);(f52,18);(f55,18);(f62,18);(f9,18)} Flow Graph: [0->{1,20,21,22},1->{2,3,17},2->{2,3,17,18,19},3->{2,3,17,18,19},4->{4,16},5->{5,6,7,14,15},6->{5,6,7,14 ,15},7->{5,6,7,14,15},8->{9,12},9->{9,12},10->{10,11},11->{8,13},12->{11},13->{1,20,21,22},14->{8,13},15->{8 ,13},16->{14,15},17->{1,20,21,22},18->{16},19->{16},20->{},21->{},22->{}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [4,5,6,7,10] * Step 4: AddSinks MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 2] (1,1) 1. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 1 + B] (?,1) 2. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,C,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 + S && A >= D] (?,1) 3. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,S,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [S >= C && A >= D] (?,1) 8. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= K] (?,1) 9. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,1 + D,E,F,G,H,I,S,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 11. f62(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,1 + K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 12. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f62(A,B,C,D,E,F,G,H,I,J,K,S,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 13. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [K >= 1 + A] (?,1) 14. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,S,T,T,P,Q,R) [U >= 0 && D >= 1 + A] (?,1) 15. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,-1*S,T,S,R) [0 >= 1 + U && D >= 1 + A] (?,1) 16. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 17. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,0) [D >= 1 + A && C = 0] (?,1) 18. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [0 >= 1 + C && D >= 1 + A] (?,1) 19. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 && D >= 1 + A] (?,1) 20. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && 0 >= 1 + S] (1,1) 21. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && S >= 1] (1,1) 22. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A] (1,1) Signature: {(f1,18);(f2,18);(f26,18);(f32,18);(f5,18);(f52,18);(f55,18);(f62,18);(f9,18)} Flow Graph: [0->{1,20,21,22},1->{2,3,17},2->{2,3,17,18,19},3->{2,3,17,18,19},8->{9,12},9->{9,12},11->{8,13},12->{11} ,13->{1,20,21,22},14->{8,13},15->{8,13},16->{14,15},17->{1,20,21,22},18->{16},19->{16},20->{},21->{},22->{}] + Applied Processor: AddSinks + Details: () * Step 5: UnsatPaths MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 2] (1,1) 1. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 1 + B] (?,1) 2. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,C,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 + S && A >= D] (?,1) 3. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,S,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [S >= C && A >= D] (?,1) 8. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= K] (?,1) 9. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,1 + D,E,F,G,H,I,S,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 11. f62(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,1 + K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 12. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f62(A,B,C,D,E,F,G,H,I,J,K,S,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 13. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [K >= 1 + A] (?,1) 14. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,S,T,T,P,Q,R) [U >= 0 && D >= 1 + A] (?,1) 15. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,-1*S,T,S,R) [0 >= 1 + U && D >= 1 + A] (?,1) 16. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 17. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,0) [D >= 1 + A && C = 0] (?,1) 18. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [0 >= 1 + C && D >= 1 + A] (?,1) 19. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 && D >= 1 + A] (?,1) 20. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && 0 >= 1 + S] (?,1) 21. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && S >= 1] (?,1) 22. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A] (?,1) 23. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) True (?,1) Signature: {(exitus616,18);(f1,18);(f2,18);(f26,18);(f32,18);(f5,18);(f52,18);(f55,18);(f62,18);(f9,18)} Flow Graph: [0->{1,20,21,22,23},1->{2,3,17,18,19},2->{2,3,17,18,19},3->{2,3,17,18,19},8->{9,12},9->{9,12},11->{8,13} ,12->{11},13->{1,20,21,22,23},14->{8,13},15->{8,13},16->{14,15},17->{1,20,21,22,23},18->{16},19->{16},20->{} ,21->{},22->{},23->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,18),(1,19)] * Step 6: LooptreeTransformer MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 2] (1,1) 1. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 1 + B] (?,1) 2. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,C,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 + S && A >= D] (?,1) 3. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,S,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [S >= C && A >= D] (?,1) 8. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= K] (?,1) 9. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,1 + D,E,F,G,H,I,S,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 11. f62(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,1 + K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 12. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f62(A,B,C,D,E,F,G,H,I,J,K,S,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 13. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [K >= 1 + A] (?,1) 14. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,S,T,T,P,Q,R) [U >= 0 && D >= 1 + A] (?,1) 15. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,-1*S,T,S,R) [0 >= 1 + U && D >= 1 + A] (?,1) 16. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 17. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,0) [D >= 1 + A && C = 0] (?,1) 18. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [0 >= 1 + C && D >= 1 + A] (?,1) 19. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 && D >= 1 + A] (?,1) 20. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && 0 >= 1 + S] (?,1) 21. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && S >= 1] (?,1) 22. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A] (?,1) 23. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) True (?,1) Signature: {(exitus616,18);(f1,18);(f2,18);(f26,18);(f32,18);(f5,18);(f52,18);(f55,18);(f62,18);(f9,18)} Flow Graph: [0->{1,20,21,22,23},1->{2,3,17},2->{2,3,17,18,19},3->{2,3,17,18,19},8->{9,12},9->{9,12},11->{8,13} ,12->{11},13->{1,20,21,22,23},14->{8,13},15->{8,13},16->{14,15},17->{1,20,21,22,23},18->{16},19->{16},20->{} ,21->{},22->{},23->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23] | `- p:[1,13,11,12,8,14,16,18,2,3,19,15,9,17] c: [1] | +- p:[2,3] c: [3] | | | `- p:[2] c: [2] | `- p:[8,11,12,9] c: [9] | `- p:[8,11,12] c: [8] * Step 7: SizeAbstraction MAYBE + Considered Problem: (Rules: 0. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 2] (1,1) 1. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 1 + B] (?,1) 2. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,C,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 + S && A >= D] (?,1) 3. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f9(A,B,S,1 + D,C,S,S,H,I,J,K,L,M,N,O,P,Q,R) [S >= C && A >= D] (?,1) 8. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= K] (?,1) 9. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f55(A,B,C,1 + D,E,F,G,H,I,S,K,L,M,N,O,P,Q,R) [A >= D] (?,1) 11. f62(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,1 + K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 12. f55(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f62(A,B,C,D,E,F,G,H,I,J,K,S,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 13. f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [K >= 1 + A] (?,1) 14. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,S,T,T,P,Q,R) [U >= 0 && D >= 1 + A] (?,1) 15. f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f52(A,B,C,D,E,F,G,H,I,J,K,L,M,N,-1*S,T,S,R) [0 >= 1 + U && D >= 1 + A] (?,1) 16. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f32(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [D >= 1 + A] (?,1) 17. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f5(A,1 + B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,0) [D >= 1 + A && C = 0] (?,1) 18. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [0 >= 1 + C && D >= 1 + A] (?,1) 19. f9(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [C >= 1 && D >= 1 + A] (?,1) 20. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && 0 >= 1 + S] (?,1) 21. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A && S >= 1] (?,1) 22. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [B >= A] (?,1) 23. f5(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) True (?,1) Signature: {(exitus616,18);(f1,18);(f2,18);(f26,18);(f32,18);(f5,18);(f52,18);(f55,18);(f62,18);(f9,18)} Flow Graph: [0->{1,20,21,22,23},1->{2,3,17},2->{2,3,17,18,19},3->{2,3,17,18,19},8->{9,12},9->{9,12},11->{8,13} ,12->{11},13->{1,20,21,22,23},14->{8,13},15->{8,13},16->{14,15},17->{1,20,21,22,23},18->{16},19->{16},20->{} ,21->{},22->{},23->{}] ,We construct a looptree: P: [0,1,2,3,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23] | `- p:[1,13,11,12,8,14,16,18,2,3,19,15,9,17] c: [1] | +- p:[2,3] c: [3] | | | `- p:[2] c: [2] | `- p:[8,11,12,9] c: [9] | `- p:[8,11,12] c: [8]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 8: FlowAbstraction MAYBE + Considered Problem: Program: Domain: [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,0.0,0.0.0,0.0.0.0,0.0.1,0.0.1.0] f2 ~> f5 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f5 ~> f9 [A <= A, B <= B, C <= 0*K, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f9 ~> f9 [A <= A, B <= B, C <= C, D <= K + D, E <= C, F <= unknown, G <= unknown, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f9 ~> f9 [A <= A, B <= B, C <= unknown, D <= K + D, E <= C, F <= unknown, G <= unknown, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f52 ~> f55 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f55 ~> f55 [A <= A, B <= B, C <= C, D <= K + D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= unknown, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f62 ~> f52 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K + K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f55 ~> f62 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= unknown, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f52 ~> f5 [A <= A, B <= K + B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f32 ~> f52 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= unknown, N <= unknown, O <= unknown, P <= P, Q <= Q, R <= R] f32 ~> f52 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= unknown, P <= unknown, Q <= unknown, R <= R] f26 ~> f32 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f9 ~> f5 [A <= A, B <= K + B, C <= 0*K, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= 0*K] f9 ~> f26 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f9 ~> f26 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f5 ~> f1 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f5 ~> f1 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f5 ~> f1 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f5 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] + Loop: [0.0 <= 2*K + A + B] f5 ~> f9 [A <= A, B <= B, C <= 0*K, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f52 ~> f5 [A <= A, B <= K + B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f62 ~> f52 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K + K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f55 ~> f62 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= unknown, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f52 ~> f55 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f32 ~> f52 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= unknown, N <= unknown, O <= unknown, P <= P, Q <= Q, R <= R] f26 ~> f32 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f9 ~> f26 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f9 ~> f9 [A <= A, B <= B, C <= C, D <= K + D, E <= C, F <= unknown, G <= unknown, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f9 ~> f9 [A <= A, B <= B, C <= unknown, D <= K + D, E <= C, F <= unknown, G <= unknown, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f9 ~> f26 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f32 ~> f52 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= unknown, P <= unknown, Q <= unknown, R <= R] f55 ~> f55 [A <= A, B <= B, C <= C, D <= K + D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= unknown, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f9 ~> f5 [A <= A, B <= K + B, C <= 0*K, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= 0*K] + Loop: [0.0.0 <= K + A + D] f9 ~> f9 [A <= A, B <= B, C <= C, D <= K + D, E <= C, F <= unknown, G <= unknown, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f9 ~> f9 [A <= A, B <= B, C <= unknown, D <= K + D, E <= C, F <= unknown, G <= unknown, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] + Loop: [0.0.0.0 <= K + A + D] f9 ~> f9 [A <= A, B <= B, C <= C, D <= K + D, E <= C, F <= unknown, G <= unknown, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] + Loop: [0.0.1 <= K + A + D] f52 ~> f55 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f62 ~> f52 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K + K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f55 ~> f62 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= unknown, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f55 ~> f55 [A <= A, B <= B, C <= C, D <= K + D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= unknown, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] + Loop: [0.0.1.0 <= 2*K + A + K] f52 ~> f55 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f62 ~> f52 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K + K, L <= L, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] f55 ~> f62 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H, I <= I, J <= J, K <= K, L <= unknown, M <= M, N <= N, O <= O, P <= P, Q <= Q, R <= R] + Applied Processor: FlowAbstraction + Details: () * Step 9: LareProcessor MAYBE + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,0.0,0.0.0,0.0.0.0,0.0.1,0.0.1.0] f2 ~> f5 [] f5 ~> f9 [K ~=> C] f9 ~> f9 [C ~=> E,huge ~=> F,huge ~=> G,D ~+> D,K ~+> D] f9 ~> f9 [C ~=> E,huge ~=> C,huge ~=> F,huge ~=> G,D ~+> D,K ~+> D] f52 ~> f55 [] f55 ~> f55 [huge ~=> J,D ~+> D,K ~+> D] f62 ~> f52 [K ~+> K,K ~+> K] f55 ~> f62 [huge ~=> L] f52 ~> f5 [B ~+> B,K ~+> B] f32 ~> f52 [huge ~=> M,huge ~=> N,huge ~=> O] f32 ~> f52 [huge ~=> O,huge ~=> P,huge ~=> Q] f26 ~> f32 [] f9 ~> f5 [K ~=> C,K ~=> R,B ~+> B,K ~+> B] f9 ~> f26 [] f9 ~> f26 [] f5 ~> f1 [] f5 ~> f1 [] f5 ~> f1 [] f5 ~> exitus616 [] + Loop: [A ~+> 0.0,B ~+> 0.0,K ~*> 0.0] f5 ~> f9 [K ~=> C] f52 ~> f5 [B ~+> B,K ~+> B] f62 ~> f52 [K ~+> K,K ~+> K] f55 ~> f62 [huge ~=> L] f52 ~> f55 [] f32 ~> f52 [huge ~=> M,huge ~=> N,huge ~=> O] f26 ~> f32 [] f9 ~> f26 [] f9 ~> f9 [C ~=> E,huge ~=> F,huge ~=> G,D ~+> D,K ~+> D] f9 ~> f9 [C ~=> E,huge ~=> C,huge ~=> F,huge ~=> G,D ~+> D,K ~+> D] f9 ~> f26 [] f32 ~> f52 [huge ~=> O,huge ~=> P,huge ~=> Q] f55 ~> f55 [huge ~=> J,D ~+> D,K ~+> D] f9 ~> f5 [K ~=> C,K ~=> R,B ~+> B,K ~+> B] + Loop: [A ~+> 0.0.0,D ~+> 0.0.0,K ~+> 0.0.0] f9 ~> f9 [C ~=> E,huge ~=> F,huge ~=> G,D ~+> D,K ~+> D] f9 ~> f9 [C ~=> E,huge ~=> C,huge ~=> F,huge ~=> G,D ~+> D,K ~+> D] + Loop: [A ~+> 0.0.0.0,D ~+> 0.0.0.0,K ~+> 0.0.0.0] f9 ~> f9 [C ~=> E,huge ~=> F,huge ~=> G,D ~+> D,K ~+> D] + Loop: [A ~+> 0.0.1,D ~+> 0.0.1,K ~+> 0.0.1] f52 ~> f55 [] f62 ~> f52 [K ~+> K,K ~+> K] f55 ~> f62 [huge ~=> L] f55 ~> f55 [huge ~=> J,D ~+> D,K ~+> D] + Loop: [A ~+> 0.0.1.0,K ~+> 0.0.1.0,K ~*> 0.0.1.0] f52 ~> f55 [] f62 ~> f52 [K ~+> K,K ~+> K] f55 ~> f62 [huge ~=> L] + Applied Processor: LareProcessor + Details: f2 ~> exitus616 [K ~=> C ,K ~=> E ,K ~=> R ,huge ~=> C ,huge ~=> E ,huge ~=> F ,huge ~=> G ,huge ~=> J ,huge ~=> L ,huge ~=> M ,huge ~=> N ,huge ~=> O ,huge ~=> P ,huge ~=> Q ,A ~+> 0.0 ,A ~+> 0.0.0 ,A ~+> 0.0.0.0 ,A ~+> 0.0.1 ,A ~+> 0.0.1.0 ,A ~+> tick ,B ~+> B ,B ~+> 0.0 ,B ~+> tick ,D ~+> D ,D ~+> 0.0.0 ,D ~+> 0.0.0.0 ,D ~+> 0.0.1 ,D ~+> tick ,K ~+> K ,K ~+> 0.0.1.0 ,K ~+> tick ,tick ~+> tick ,K ~+> B ,K ~+> D ,K ~+> K ,K ~+> 0.0.0 ,K ~+> 0.0.0.0 ,K ~+> 0.0.1 ,K ~+> 0.0.1.0 ,K ~+> tick ,A ~*> B ,A ~*> D ,A ~*> K ,A ~*> 0.0.0 ,A ~*> 0.0.0.0 ,A ~*> 0.0.1 ,A ~*> 0.0.1.0 ,A ~*> tick ,B ~*> B ,B ~*> D ,B ~*> K ,B ~*> 0.0.0 ,B ~*> 0.0.0.0 ,B ~*> 0.0.1 ,B ~*> 0.0.1.0 ,B ~*> tick ,D ~*> D ,D ~*> K ,D ~*> 0.0.0 ,D ~*> 0.0.0.0 ,D ~*> 0.0.1 ,D ~*> 0.0.1.0 ,D ~*> tick ,K ~*> K ,K ~*> 0.0.1.0 ,K ~*> tick ,K ~*> B ,K ~*> D ,K ~*> K ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> 0.0.0.0 ,K ~*> 0.0.1 ,K ~*> 0.0.1.0 ,K ~*> tick ,A ~^> D ,A ~^> K ,A ~^> 0.0.0 ,A ~^> 0.0.0.0 ,A ~^> 0.0.1 ,A ~^> 0.0.1.0 ,A ~^> tick ,B ~^> D ,B ~^> K ,B ~^> 0.0.0 ,B ~^> 0.0.0.0 ,B ~^> 0.0.1 ,B ~^> 0.0.1.0 ,B ~^> tick ,D ~^> D ,D ~^> K ,D ~^> 0.0.0 ,D ~^> 0.0.0.0 ,D ~^> 0.0.1 ,D ~^> 0.0.1.0 ,D ~^> tick ,K ~^> D ,K ~^> K ,K ~^> 0.0.0 ,K ~^> 0.0.0.0 ,K ~^> 0.0.1 ,K ~^> 0.0.1.0 ,K ~^> tick] f2 ~> f1 [K ~=> C ,K ~=> E ,K ~=> R ,huge ~=> C ,huge ~=> E ,huge ~=> F ,huge ~=> G ,huge ~=> J ,huge ~=> L ,huge ~=> M ,huge ~=> N ,huge ~=> O ,huge ~=> P ,huge ~=> Q ,A ~+> 0.0 ,A ~+> 0.0.0 ,A ~+> 0.0.0.0 ,A ~+> 0.0.1 ,A ~+> 0.0.1.0 ,A ~+> tick ,B ~+> B ,B ~+> 0.0 ,B ~+> tick ,D ~+> D ,D ~+> 0.0.0 ,D ~+> 0.0.0.0 ,D ~+> 0.0.1 ,D ~+> tick ,K ~+> K ,K ~+> 0.0.1.0 ,K ~+> tick ,tick ~+> tick ,K ~+> B ,K ~+> D ,K ~+> K ,K ~+> 0.0.0 ,K ~+> 0.0.0.0 ,K ~+> 0.0.1 ,K ~+> 0.0.1.0 ,K ~+> tick ,A ~*> B ,A ~*> D ,A ~*> K ,A ~*> 0.0.0 ,A ~*> 0.0.0.0 ,A ~*> 0.0.1 ,A ~*> 0.0.1.0 ,A ~*> tick ,B ~*> B ,B ~*> D ,B ~*> K ,B ~*> 0.0.0 ,B ~*> 0.0.0.0 ,B ~*> 0.0.1 ,B ~*> 0.0.1.0 ,B ~*> tick ,D ~*> D ,D ~*> K ,D ~*> 0.0.0 ,D ~*> 0.0.0.0 ,D ~*> 0.0.1 ,D ~*> 0.0.1.0 ,D ~*> tick ,K ~*> K ,K ~*> 0.0.1.0 ,K ~*> tick ,K ~*> B ,K ~*> D ,K ~*> K ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> 0.0.0.0 ,K ~*> 0.0.1 ,K ~*> 0.0.1.0 ,K ~*> tick ,A ~^> D ,A ~^> K ,A ~^> 0.0.0 ,A ~^> 0.0.0.0 ,A ~^> 0.0.1 ,A ~^> 0.0.1.0 ,A ~^> tick ,B ~^> D ,B ~^> K ,B ~^> 0.0.0 ,B ~^> 0.0.0.0 ,B ~^> 0.0.1 ,B ~^> 0.0.1.0 ,B ~^> tick ,D ~^> D ,D ~^> K ,D ~^> 0.0.0 ,D ~^> 0.0.0.0 ,D ~^> 0.0.1 ,D ~^> 0.0.1.0 ,D ~^> tick ,K ~^> D ,K ~^> K ,K ~^> 0.0.0 ,K ~^> 0.0.0.0 ,K ~^> 0.0.1 ,K ~^> 0.0.1.0 ,K ~^> tick] + f5> [K ~=> C ,K ~=> E ,K ~=> R ,huge ~=> C ,huge ~=> E ,huge ~=> F ,huge ~=> G ,huge ~=> J ,huge ~=> L ,huge ~=> M ,huge ~=> N ,huge ~=> O ,huge ~=> P ,huge ~=> Q ,A ~+> 0.0 ,A ~+> 0.0.0 ,A ~+> 0.0.0.0 ,A ~+> 0.0.1 ,A ~+> 0.0.1.0 ,A ~+> tick ,B ~+> B ,B ~+> 0.0 ,B ~+> tick ,D ~+> D ,D ~+> 0.0.0 ,D ~+> 0.0.0.0 ,D ~+> 0.0.1 ,D ~+> tick ,K ~+> K ,K ~+> 0.0.1.0 ,K ~+> tick ,tick ~+> tick ,K ~+> B ,K ~+> D ,K ~+> K ,K ~+> 0.0.0 ,K ~+> 0.0.0.0 ,K ~+> 0.0.1 ,K ~+> 0.0.1.0 ,K ~+> tick ,A ~*> B ,A ~*> D ,A ~*> K ,A ~*> 0.0.0 ,A ~*> 0.0.0.0 ,A ~*> 0.0.1 ,A ~*> 0.0.1.0 ,A ~*> tick ,B ~*> B ,B ~*> D ,B ~*> K ,B ~*> 0.0.0 ,B ~*> 0.0.0.0 ,B ~*> 0.0.1 ,B ~*> 0.0.1.0 ,B ~*> tick ,D ~*> D ,D ~*> K ,D ~*> 0.0.0 ,D ~*> 0.0.0.0 ,D ~*> 0.0.1 ,D ~*> 0.0.1.0 ,D ~*> tick ,K ~*> K ,K ~*> 0.0.1.0 ,K ~*> tick ,K ~*> B ,K ~*> D ,K ~*> K ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> 0.0.0.0 ,K ~*> 0.0.1 ,K ~*> 0.0.1.0 ,K ~*> tick ,A ~^> D ,A ~^> K ,A ~^> 0.0.0 ,A ~^> 0.0.0.0 ,A ~^> 0.0.1 ,A ~^> 0.0.1.0 ,A ~^> tick ,B ~^> D ,B ~^> K ,B ~^> 0.0.0 ,B ~^> 0.0.0.0 ,B ~^> 0.0.1 ,B ~^> 0.0.1.0 ,B ~^> tick ,D ~^> D ,D ~^> K ,D ~^> 0.0.0 ,D ~^> 0.0.0.0 ,D ~^> 0.0.1 ,D ~^> 0.0.1.0 ,D ~^> tick ,K ~^> D ,K ~^> K ,K ~^> 0.0.0 ,K ~^> 0.0.0.0 ,K ~^> 0.0.1 ,K ~^> 0.0.1.0 ,K ~^> tick] + f9> [C ~=> E ,huge ~=> C ,huge ~=> E ,huge ~=> F ,huge ~=> G ,A ~+> 0.0.0 ,A ~+> 0.0.0.0 ,A ~+> tick ,D ~+> D ,D ~+> 0.0.0 ,D ~+> 0.0.0.0 ,D ~+> tick ,tick ~+> tick ,K ~+> D ,K ~+> 0.0.0 ,K ~+> 0.0.0.0 ,K ~+> tick ,A ~*> D ,A ~*> 0.0.0.0 ,A ~*> tick ,D ~*> D ,D ~*> 0.0.0.0 ,D ~*> tick ,K ~*> D ,K ~*> 0.0.0.0 ,K ~*> tick ,A ~^> D ,D ~^> D ,K ~^> D] + f9> [C ~=> E ,huge ~=> F ,huge ~=> G ,A ~+> 0.0.0.0 ,A ~+> tick ,D ~+> D ,D ~+> 0.0.0.0 ,D ~+> tick ,tick ~+> tick ,K ~+> D ,K ~+> 0.0.0.0 ,K ~+> tick ,A ~*> D ,D ~*> D ,K ~*> D] + f52> [huge ~=> J ,huge ~=> L ,A ~+> 0.0.1 ,A ~+> 0.0.1.0 ,A ~+> tick ,D ~+> D ,D ~+> 0.0.1 ,D ~+> tick ,K ~+> K ,K ~+> 0.0.1.0 ,K ~+> tick ,tick ~+> tick ,K ~+> D ,K ~+> K ,K ~+> 0.0.1 ,K ~+> 0.0.1.0 ,K ~+> tick ,A ~*> D ,A ~*> K ,A ~*> 0.0.1.0 ,A ~*> tick ,D ~*> D ,D ~*> K ,D ~*> 0.0.1.0 ,D ~*> tick ,K ~*> K ,K ~*> 0.0.1.0 ,K ~*> tick ,K ~*> D ,K ~*> K ,K ~*> 0.0.1.0 ,K ~*> tick ,A ~^> K ,A ~^> 0.0.1.0 ,A ~^> tick ,D ~^> K ,D ~^> 0.0.1.0 ,D ~^> tick ,K ~^> K ,K ~^> 0.0.1.0 ,K ~^> tick] + f55> [huge ~=> L ,A ~+> 0.0.1.0 ,A ~+> tick ,K ~+> K ,K ~+> 0.0.1.0 ,K ~+> tick ,tick ~+> tick ,K ~+> K ,A ~*> K ,K ~*> K ,K ~*> K ,K ~*> 0.0.1.0 ,K ~*> tick] f52> [huge ~=> L ,A ~+> 0.0.1.0 ,A ~+> tick ,K ~+> K ,K ~+> 0.0.1.0 ,K ~+> tick ,tick ~+> tick ,K ~+> K ,A ~*> K ,K ~*> K ,K ~*> K ,K ~*> 0.0.1.0 ,K ~*> tick] f55> [huge ~=> L ,A ~+> 0.0.1.0 ,A ~+> tick ,K ~+> K ,K ~+> 0.0.1.0 ,K ~+> tick ,tick ~+> tick ,K ~+> K ,A ~*> K ,K ~*> K ,K ~*> K ,K ~*> 0.0.1.0 ,K ~*> tick] f52> [huge ~=> L ,A ~+> 0.0.1.0 ,A ~+> tick ,K ~+> K ,K ~+> 0.0.1.0 ,K ~+> tick ,tick ~+> tick ,K ~+> K ,A ~*> K ,K ~*> K ,K ~*> K ,K ~*> 0.0.1.0 ,K ~*> tick] YES(?,PRIMREC)