MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(1,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A = 1] (1,1) 1. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f13(A,1,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [0 >= A] (1,1) 2. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f13(A,1,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [A >= 2] (1,1) 3. f13(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f20(A,B,1 + B,S,T,1,G,H,I,J,K,L,M,N,O,P,Q,R) [-1 + B >= 0 && A >= B] (?,1) 4. f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f20(A,B,C,S,T,1 + F,G,H,I,J,K,L,M,N,O,P,Q,R) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] 5. f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f31(A,B,C,D,E,1 + F,G,H,I,J,K,L,M,N,O,P,Q,R) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] 6. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f45(A,B,C,D,E,1 + F,S,T,U,J,K,L,M,N,O,P,Q,R) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] 7. f60(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f60(A,B,C,D,E,1 + F,G,H,I,J,-1 + K,S,T,U,V,K,Q,R) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + F + K >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -1 + C + -1*K >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && B + -1*K >= 0 && -2 + A + B >= 0 && A + -1*K >= 0 && -1 + A >= 0 && J >= F] 8. f60(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f13(A,1 + B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + F + K >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -1 + C + -1*K >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && B + -1*K >= 0 && -2 + A + B >= 0 && A + -1*K >= 0 && -1 + A >= 0 && F >= 1 + J] 9. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f60(A,B,C,D,E,1,G,H,I,S,B,L,M,N,O,P,T,U) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B] 10. f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,A,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B && A = C] 11. f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f45(A,B,C,D,E,1,S,T,U,J,K,L,M,N,O,P,Q,R) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && A >= 1 + C && F >= 1 + B] 12. f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f45(A,B,C,D,E,1,S,T,U,J,K,L,M,N,O,P,Q,R) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + A && F >= 1 + B] 13. f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f31(A,B,C,D,E,1,G,H,I,J,K,L,M,N,O,P,Q,R) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + E && F >= 1 + B] 14. f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f31(A,B,C,D,E,1,G,H,I,J,K,L,M,N,O,P,Q,R) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && E >= 1 && F >= 1 + B] 15. f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f31(A,B,C,D,0,1,G,H,I,J,K,L,M,N,O,P,Q,R) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B && E = 0] 16. f13(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) [-1 + B >= 0 && B >= 1 + A] (?,1) Signature: {(f1,18);(f13,18);(f2,18);(f20,18);(f31,18);(f45,18);(f60,18)} Flow Graph: [0->{},1->{3,16},2->{3,16},3->{4,13,14,15},4->{4,13,14,15},5->{5,10,11,12},6->{6,9},7->{7,8},8->{3,16} ,9->{7,8},10->{},11->{6,9},12->{6,9},13->{5,10,11,12},14->{5,10,11,12},15->{5,10,11,12},16->{}] + Applied Processor: ArgumentFilter [3,6,7,8,11,12,13,14,15,16,17] + Details: We remove following argument positions: [3,6,7,8,11,12,13,14,15,16,17]. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f2(A,B,C,E,F,J,K) -> f1(1,B,C,E,F,J,K) [A = 1] (1,1) 1. f2(A,B,C,E,F,J,K) -> f13(A,1,C,E,F,J,K) [0 >= A] (1,1) 2. f2(A,B,C,E,F,J,K) -> f13(A,1,C,E,F,J,K) [A >= 2] (1,1) 3. f13(A,B,C,E,F,J,K) -> f20(A,B,1 + B,T,1,J,K) [-1 + B >= 0 && A >= B] (?,1) 4. f20(A,B,C,E,F,J,K) -> f20(A,B,C,T,1 + F,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] 5. f31(A,B,C,E,F,J,K) -> f31(A,B,C,E,1 + F,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] 6. f45(A,B,C,E,F,J,K) -> f45(A,B,C,E,1 + F,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] 7. f60(A,B,C,E,F,J,K) -> f60(A,B,C,E,1 + F,J,-1 + K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + F + K >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -1 + C + -1*K >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && B + -1*K >= 0 && -2 + A + B >= 0 && A + -1*K >= 0 && -1 + A >= 0 && J >= F] 8. f60(A,B,C,E,F,J,K) -> f13(A,1 + B,C,E,F,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + F + K >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -1 + C + -1*K >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && B + -1*K >= 0 && -2 + A + B >= 0 && A + -1*K >= 0 && -1 + A >= 0 && F >= 1 + J] 9. f45(A,B,C,E,F,J,K) -> f60(A,B,C,E,1,S,B) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B] 10. f31(A,B,C,E,F,J,K) -> f1(A,B,A,E,F,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B && A = C] 11. f31(A,B,C,E,F,J,K) -> f45(A,B,C,E,1,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && A >= 1 + C && F >= 1 + B] 12. f31(A,B,C,E,F,J,K) -> f45(A,B,C,E,1,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + A && F >= 1 + B] 13. f20(A,B,C,E,F,J,K) -> f31(A,B,C,E,1,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + E && F >= 1 + B] 14. f20(A,B,C,E,F,J,K) -> f31(A,B,C,E,1,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && E >= 1 && F >= 1 + B] 15. f20(A,B,C,E,F,J,K) -> f31(A,B,C,0,1,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B && E = 0] 16. f13(A,B,C,E,F,J,K) -> f1(A,B,C,E,F,J,K) [-1 + B >= 0 && B >= 1 + A] (?,1) Signature: {(f1,18);(f13,18);(f2,18);(f20,18);(f31,18);(f45,18);(f60,18)} Flow Graph: [0->{},1->{3,16},2->{3,16},3->{4,13,14,15},4->{4,13,14,15},5->{5,10,11,12},6->{6,9},7->{7,8},8->{3,16} ,9->{7,8},10->{},11->{6,9},12->{6,9},13->{5,10,11,12},14->{5,10,11,12},15->{5,10,11,12},16->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,3) ,(2,16) ,(3,13) ,(3,14) ,(3,15) ,(11,9) ,(12,9) ,(13,10) ,(13,11) ,(13,12) ,(14,10) ,(14,11) ,(14,12) ,(15,10) ,(15,11) ,(15,12)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. f2(A,B,C,E,F,J,K) -> f1(1,B,C,E,F,J,K) [A = 1] (1,1) 1. f2(A,B,C,E,F,J,K) -> f13(A,1,C,E,F,J,K) [0 >= A] (1,1) 2. f2(A,B,C,E,F,J,K) -> f13(A,1,C,E,F,J,K) [A >= 2] (1,1) 3. f13(A,B,C,E,F,J,K) -> f20(A,B,1 + B,T,1,J,K) [-1 + B >= 0 && A >= B] (?,1) 4. f20(A,B,C,E,F,J,K) -> f20(A,B,C,T,1 + F,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] 5. f31(A,B,C,E,F,J,K) -> f31(A,B,C,E,1 + F,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] 6. f45(A,B,C,E,F,J,K) -> f45(A,B,C,E,1 + F,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] 7. f60(A,B,C,E,F,J,K) -> f60(A,B,C,E,1 + F,J,-1 + K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + F + K >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -1 + C + -1*K >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && B + -1*K >= 0 && -2 + A + B >= 0 && A + -1*K >= 0 && -1 + A >= 0 && J >= F] 8. f60(A,B,C,E,F,J,K) -> f13(A,1 + B,C,E,F,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + F + K >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -1 + C + -1*K >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && B + -1*K >= 0 && -2 + A + B >= 0 && A + -1*K >= 0 && -1 + A >= 0 && F >= 1 + J] 9. f45(A,B,C,E,F,J,K) -> f60(A,B,C,E,1,S,B) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B] 10. f31(A,B,C,E,F,J,K) -> f1(A,B,A,E,F,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B && A = C] 11. f31(A,B,C,E,F,J,K) -> f45(A,B,C,E,1,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && A >= 1 + C && F >= 1 + B] 12. f31(A,B,C,E,F,J,K) -> f45(A,B,C,E,1,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + A && F >= 1 + B] 13. f20(A,B,C,E,F,J,K) -> f31(A,B,C,E,1,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + E && F >= 1 + B] 14. f20(A,B,C,E,F,J,K) -> f31(A,B,C,E,1,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && E >= 1 && F >= 1 + B] 15. f20(A,B,C,E,F,J,K) -> f31(A,B,C,0,1,J,K) [-1 + F >= 0 (?,1) && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B && E = 0] 16. f13(A,B,C,E,F,J,K) -> f1(A,B,C,E,F,J,K) [-1 + B >= 0 && B >= 1 + A] (?,1) Signature: {(f1,18);(f13,18);(f2,18);(f20,18);(f31,18);(f45,18);(f60,18)} Flow Graph: [0->{},1->{16},2->{3},3->{4},4->{4,13,14,15},5->{5,10,11,12},6->{6,9},7->{7,8},8->{3,16},9->{7,8},10->{} ,11->{6},12->{6},13->{5},14->{5},15->{5},16->{}] + Applied Processor: FromIts + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f2(A,B,C,E,F,J,K) -> f1(1,B,C,E,F,J,K) [A = 1] f2(A,B,C,E,F,J,K) -> f13(A,1,C,E,F,J,K) [0 >= A] f2(A,B,C,E,F,J,K) -> f13(A,1,C,E,F,J,K) [A >= 2] f13(A,B,C,E,F,J,K) -> f20(A,B,1 + B,T,1,J,K) [-1 + B >= 0 && A >= B] f20(A,B,C,E,F,J,K) -> f20(A,B,C,T,1 + F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] f31(A,B,C,E,F,J,K) -> f31(A,B,C,E,1 + F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] f45(A,B,C,E,F,J,K) -> f45(A,B,C,E,1 + F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] f60(A,B,C,E,F,J,K) -> f60(A,B,C,E,1 + F,J,-1 + K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + F + K >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -1 + C + -1*K >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && B + -1*K >= 0 && -2 + A + B >= 0 && A + -1*K >= 0 && -1 + A >= 0 && J >= F] f60(A,B,C,E,F,J,K) -> f13(A,1 + B,C,E,F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + F + K >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -1 + C + -1*K >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && B + -1*K >= 0 && -2 + A + B >= 0 && A + -1*K >= 0 && -1 + A >= 0 && F >= 1 + J] f45(A,B,C,E,F,J,K) -> f60(A,B,C,E,1,S,B) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B] f31(A,B,C,E,F,J,K) -> f1(A,B,A,E,F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B && A = C] f31(A,B,C,E,F,J,K) -> f45(A,B,C,E,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && A >= 1 + C && F >= 1 + B] f31(A,B,C,E,F,J,K) -> f45(A,B,C,E,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + A && F >= 1 + B] f20(A,B,C,E,F,J,K) -> f31(A,B,C,E,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + E && F >= 1 + B] f20(A,B,C,E,F,J,K) -> f31(A,B,C,E,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && E >= 1 && F >= 1 + B] f20(A,B,C,E,F,J,K) -> f31(A,B,C,0,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B && E = 0] f13(A,B,C,E,F,J,K) -> f1(A,B,C,E,F,J,K) [-1 + B >= 0 && B >= 1 + A] Signature: {(f1,18);(f13,18);(f2,18);(f20,18);(f31,18);(f45,18);(f60,18)} Rule Graph: [0->{},1->{16},2->{3},3->{4},4->{4,13,14,15},5->{5,10,11,12},6->{6,9},7->{7,8},8->{3,16},9->{7,8},10->{} ,11->{6},12->{6},13->{5},14->{5},15->{5},16->{}] + Applied Processor: AddSinks + Details: () * Step 5: Decompose MAYBE + Considered Problem: Rules: f2(A,B,C,E,F,J,K) -> f1(1,B,C,E,F,J,K) [A = 1] f2(A,B,C,E,F,J,K) -> f13(A,1,C,E,F,J,K) [0 >= A] f2(A,B,C,E,F,J,K) -> f13(A,1,C,E,F,J,K) [A >= 2] f13(A,B,C,E,F,J,K) -> f20(A,B,1 + B,T,1,J,K) [-1 + B >= 0 && A >= B] f20(A,B,C,E,F,J,K) -> f20(A,B,C,T,1 + F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] f31(A,B,C,E,F,J,K) -> f31(A,B,C,E,1 + F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] f45(A,B,C,E,F,J,K) -> f45(A,B,C,E,1 + F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] f60(A,B,C,E,F,J,K) -> f60(A,B,C,E,1 + F,J,-1 + K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + F + K >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -1 + C + -1*K >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && B + -1*K >= 0 && -2 + A + B >= 0 && A + -1*K >= 0 && -1 + A >= 0 && J >= F] f60(A,B,C,E,F,J,K) -> f13(A,1 + B,C,E,F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + F + K >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -1 + C + -1*K >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && B + -1*K >= 0 && -2 + A + B >= 0 && A + -1*K >= 0 && -1 + A >= 0 && F >= 1 + J] f45(A,B,C,E,F,J,K) -> f60(A,B,C,E,1,S,B) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B] f31(A,B,C,E,F,J,K) -> f1(A,B,A,E,F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B && A = C] f31(A,B,C,E,F,J,K) -> f45(A,B,C,E,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && A >= 1 + C && F >= 1 + B] f31(A,B,C,E,F,J,K) -> f45(A,B,C,E,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + A && F >= 1 + B] f20(A,B,C,E,F,J,K) -> f31(A,B,C,E,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + E && F >= 1 + B] f20(A,B,C,E,F,J,K) -> f31(A,B,C,E,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && E >= 1 && F >= 1 + B] f20(A,B,C,E,F,J,K) -> f31(A,B,C,0,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B && E = 0] f13(A,B,C,E,F,J,K) -> f1(A,B,C,E,F,J,K) [-1 + B >= 0 && B >= 1 + A] f1(A,B,C,E,F,J,K) -> exitus616(A,B,C,E,F,J,K) True f1(A,B,C,E,F,J,K) -> exitus616(A,B,C,E,F,J,K) True f1(A,B,C,E,F,J,K) -> exitus616(A,B,C,E,F,J,K) True f1(A,B,C,E,F,J,K) -> exitus616(A,B,C,E,F,J,K) True Signature: {(exitus616,7);(f1,18);(f13,18);(f2,18);(f20,18);(f31,18);(f45,18);(f60,18)} Rule Graph: [0->{20},1->{16},2->{3},3->{4},4->{4,13,14,15},5->{5,10,11,12},6->{6,9},7->{7,8},8->{3,16},9->{7,8} ,10->{17},11->{6},12->{6},13->{5},14->{5},15->{5},16->{18,19}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20] | `- p:[3,8,7,9,6,11,5,13,4,14,15,12] c: [3,8,9,11,12,13,14,15] | +- p:[7] c: [7] | +- p:[6] c: [6] | +- p:[5] c: [5] | `- p:[4] c: [4] * Step 6: AbstractSize MAYBE + Considered Problem: (Rules: f2(A,B,C,E,F,J,K) -> f1(1,B,C,E,F,J,K) [A = 1] f2(A,B,C,E,F,J,K) -> f13(A,1,C,E,F,J,K) [0 >= A] f2(A,B,C,E,F,J,K) -> f13(A,1,C,E,F,J,K) [A >= 2] f13(A,B,C,E,F,J,K) -> f20(A,B,1 + B,T,1,J,K) [-1 + B >= 0 && A >= B] f20(A,B,C,E,F,J,K) -> f20(A,B,C,T,1 + F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] f31(A,B,C,E,F,J,K) -> f31(A,B,C,E,1 + F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] f45(A,B,C,E,F,J,K) -> f45(A,B,C,E,1 + F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= F] f60(A,B,C,E,F,J,K) -> f60(A,B,C,E,1 + F,J,-1 + K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + F + K >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -1 + C + -1*K >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && B + -1*K >= 0 && -2 + A + B >= 0 && A + -1*K >= 0 && -1 + A >= 0 && J >= F] f60(A,B,C,E,F,J,K) -> f13(A,1 + B,C,E,F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + F + K >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -1 + C + -1*K >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && B + -1*K >= 0 && -2 + A + B >= 0 && A + -1*K >= 0 && -1 + A >= 0 && F >= 1 + J] f45(A,B,C,E,F,J,K) -> f60(A,B,C,E,1,S,B) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B] f31(A,B,C,E,F,J,K) -> f1(A,B,A,E,F,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B && A = C] f31(A,B,C,E,F,J,K) -> f45(A,B,C,E,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && A >= 1 + C && F >= 1 + B] f31(A,B,C,E,F,J,K) -> f45(A,B,C,E,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + A && F >= 1 + B] f20(A,B,C,E,F,J,K) -> f31(A,B,C,E,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + E && F >= 1 + B] f20(A,B,C,E,F,J,K) -> f31(A,B,C,E,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && E >= 1 && F >= 1 + B] f20(A,B,C,E,F,J,K) -> f31(A,B,C,0,1,J,K) [-1 + F >= 0 && -3 + C + F >= 0 && -2 + B + F >= 0 && -2 + A + F >= 0 && 1 + B + -1*C >= 0 && 1 + A + -1*C >= 0 && -2 + C >= 0 && -3 + B + C >= 0 && -1 + -1*B + C >= 0 && -3 + A + C >= 0 && A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && F >= 1 + B && E = 0] f13(A,B,C,E,F,J,K) -> f1(A,B,C,E,F,J,K) [-1 + B >= 0 && B >= 1 + A] f1(A,B,C,E,F,J,K) -> exitus616(A,B,C,E,F,J,K) True f1(A,B,C,E,F,J,K) -> exitus616(A,B,C,E,F,J,K) True f1(A,B,C,E,F,J,K) -> exitus616(A,B,C,E,F,J,K) True f1(A,B,C,E,F,J,K) -> exitus616(A,B,C,E,F,J,K) True Signature: {(exitus616,7);(f1,18);(f13,18);(f2,18);(f20,18);(f31,18);(f45,18);(f60,18)} Rule Graph: [0->{20},1->{16},2->{3},3->{4},4->{4,13,14,15},5->{5,10,11,12},6->{6,9},7->{7,8},8->{3,16},9->{7,8} ,10->{17},11->{6},12->{6},13->{5},14->{5},15->{5},16->{18,19}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20] | `- p:[3,8,7,9,6,11,5,13,4,14,15,12] c: [3,8,9,11,12,13,14,15] | +- p:[7] c: [7] | +- p:[6] c: [6] | +- p:[5] c: [5] | `- p:[4] c: [4]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow MAYBE + Considered Problem: Program: Domain: [A,B,C,E,F,J,K,0.0,0.0.0,0.0.1,0.0.2,0.0.3] f2 ~> f1 [A <= K, B <= B, C <= C, E <= E, F <= F, J <= J, K <= K] f2 ~> f13 [A <= A, B <= K, C <= C, E <= E, F <= F, J <= J, K <= K] f2 ~> f13 [A <= A, B <= K, C <= C, E <= E, F <= F, J <= J, K <= K] f13 ~> f20 [A <= A, B <= B, C <= K + B, E <= unknown, F <= K, J <= J, K <= K] f20 ~> f20 [A <= A, B <= B, C <= C, E <= unknown, F <= C, J <= J, K <= K] f31 ~> f31 [A <= A, B <= B, C <= C, E <= E, F <= C, J <= J, K <= K] f45 ~> f45 [A <= A, B <= B, C <= C, E <= E, F <= C, J <= J, K <= K] f60 ~> f60 [A <= A, B <= B, C <= C, E <= E, F <= A + F, J <= J, K <= A + F] f60 ~> f13 [A <= A, B <= C, C <= C, E <= E, F <= F, J <= J, K <= K] f45 ~> f60 [A <= A, B <= B, C <= C, E <= E, F <= K, J <= unknown, K <= B] f31 ~> f1 [A <= A, B <= B, C <= A, E <= E, F <= F, J <= J, K <= K] f31 ~> f45 [A <= A, B <= B, C <= C, E <= E, F <= K, J <= J, K <= K] f31 ~> f45 [A <= A, B <= B, C <= C, E <= E, F <= K, J <= J, K <= K] f20 ~> f31 [A <= A, B <= B, C <= C, E <= E, F <= K, J <= J, K <= K] f20 ~> f31 [A <= A, B <= B, C <= C, E <= E, F <= K, J <= J, K <= K] f20 ~> f31 [A <= A, B <= B, C <= C, E <= 0*K, F <= K, J <= J, K <= K] f13 ~> f1 [A <= A, B <= B, C <= C, E <= E, F <= F, J <= J, K <= K] f1 ~> exitus616 [A <= A, B <= B, C <= C, E <= E, F <= F, J <= J, K <= K] f1 ~> exitus616 [A <= A, B <= B, C <= C, E <= E, F <= F, J <= J, K <= K] f1 ~> exitus616 [A <= A, B <= B, C <= C, E <= E, F <= F, J <= J, K <= K] f1 ~> exitus616 [A <= A, B <= B, C <= C, E <= E, F <= F, J <= J, K <= K] + Loop: [0.0 <= K + 2*A + B] f13 ~> f20 [A <= A, B <= B, C <= K + B, E <= unknown, F <= K, J <= J, K <= K] f60 ~> f13 [A <= A, B <= C, C <= C, E <= E, F <= F, J <= J, K <= K] f60 ~> f60 [A <= A, B <= B, C <= C, E <= E, F <= A + F, J <= J, K <= A + F] f45 ~> f60 [A <= A, B <= B, C <= C, E <= E, F <= K, J <= unknown, K <= B] f45 ~> f45 [A <= A, B <= B, C <= C, E <= E, F <= C, J <= J, K <= K] f31 ~> f45 [A <= A, B <= B, C <= C, E <= E, F <= K, J <= J, K <= K] f31 ~> f31 [A <= A, B <= B, C <= C, E <= E, F <= C, J <= J, K <= K] f20 ~> f31 [A <= A, B <= B, C <= C, E <= E, F <= K, J <= J, K <= K] f20 ~> f20 [A <= A, B <= B, C <= C, E <= unknown, F <= C, J <= J, K <= K] f20 ~> f31 [A <= A, B <= B, C <= C, E <= E, F <= K, J <= J, K <= K] f20 ~> f31 [A <= A, B <= B, C <= C, E <= 0*K, F <= K, J <= J, K <= K] f31 ~> f45 [A <= A, B <= B, C <= C, E <= E, F <= K, J <= J, K <= K] + Loop: [0.0.0 <= F + J] f60 ~> f60 [A <= A, B <= B, C <= C, E <= E, F <= A + F, J <= J, K <= A + F] + Loop: [0.0.1 <= B + F] f45 ~> f45 [A <= A, B <= B, C <= C, E <= E, F <= C, J <= J, K <= K] + Loop: [0.0.2 <= B + F] f31 ~> f31 [A <= A, B <= B, C <= C, E <= E, F <= C, J <= J, K <= K] + Loop: [0.0.3 <= B + F] f20 ~> f20 [A <= A, B <= B, C <= C, E <= unknown, F <= C, J <= J, K <= K] + Applied Processor: AbstractFlow + Details: () * Step 8: Failure MAYBE + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,E,F,J,K,0.0,0.0.0,0.0.1,0.0.2,0.0.3] f2 ~> f1 [K ~=> A] f2 ~> f13 [K ~=> B] f2 ~> f13 [K ~=> B] f13 ~> f20 [K ~=> F,huge ~=> E,B ~+> C,K ~+> C] f20 ~> f20 [C ~=> F,huge ~=> E] f31 ~> f31 [C ~=> F] f45 ~> f45 [C ~=> F] f60 ~> f60 [A ~+> F,A ~+> K,F ~+> F,F ~+> K] f60 ~> f13 [C ~=> B] f45 ~> f60 [B ~=> K,K ~=> F,huge ~=> J] f31 ~> f1 [A ~=> C] f31 ~> f45 [K ~=> F] f31 ~> f45 [K ~=> F] f20 ~> f31 [K ~=> F] f20 ~> f31 [K ~=> F] f20 ~> f31 [K ~=> E,K ~=> F] f13 ~> f1 [] f1 ~> exitus616 [] f1 ~> exitus616 [] f1 ~> exitus616 [] f1 ~> exitus616 [] + Loop: [B ~+> 0.0,K ~+> 0.0,A ~*> 0.0] f13 ~> f20 [K ~=> F,huge ~=> E,B ~+> C,K ~+> C] f60 ~> f13 [C ~=> B] f60 ~> f60 [A ~+> F,A ~+> K,F ~+> F,F ~+> K] f45 ~> f60 [B ~=> K,K ~=> F,huge ~=> J] f45 ~> f45 [C ~=> F] f31 ~> f45 [K ~=> F] f31 ~> f31 [C ~=> F] f20 ~> f31 [K ~=> F] f20 ~> f20 [C ~=> F,huge ~=> E] f20 ~> f31 [K ~=> F] f20 ~> f31 [K ~=> E,K ~=> F] f31 ~> f45 [K ~=> F] + Loop: [F ~+> 0.0.0,J ~+> 0.0.0] f60 ~> f60 [A ~+> F,A ~+> K,F ~+> F,F ~+> K] + Loop: [B ~+> 0.0.1,F ~+> 0.0.1] f45 ~> f45 [C ~=> F] + Loop: [B ~+> 0.0.2,F ~+> 0.0.2] f31 ~> f31 [C ~=> F] + Loop: [B ~+> 0.0.3,F ~+> 0.0.3] f20 ~> f20 [C ~=> F,huge ~=> E] + Applied Processor: Lare + Details: Unknown bound. MAYBE