MAYBE * Step 1: 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) -> 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: 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 2: 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) -> 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->{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: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 3: Failure 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 (1,1) && -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] (1,1) 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: Failing "Open problems left." + Details: Open problems left. MAYBE