MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1,D,E,F,0,A1,I,J,K,L,M,N,O,P,0,Z,S,T,U,V,W,Y) [Y >= 2] (1,1) 1. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1,D,E,F,0,A1,I,J,K,L,M,N,O,P,0,Z,S,T,U,V,W,Y) [0 >= Y] (1,1) 2. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f15(A,B,0,D,E,F,0,Z,I,J,K,L,M,N,O,P,0,Y,S,T,U,V,W,1) True (1,1) 3. f36(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f61(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,0,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && C >= 1 + H] 4. f36(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,D,E,F,G,H,Y,Z,A1,B1,B1,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && H >= C] 5. f15(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && G + Q >= 0 && G + -1*Q >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1*Q >= 0 && Q >= 0 && C >= R] 6. f15(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f15(A,B,1 + C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,Y,Z,0,0,0,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && G + Q >= 0 && G + -1*Q >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1*Q >= 0 && Q >= 0 && R >= 1 + C] 7. f15(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f25(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,Y,Z,A1,A1,A1,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && G + Q >= 0 && G + -1*Q >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1*Q >= 0 && Q >= 0 && A1 >= 1 && R >= 1 + C] 8. f15(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f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f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && G + Q >= 0 && G + -1*Q >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && C + -1*R >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1*Q >= 0 && Q >= 0] 10. f25(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f15(A,B,1 + C,Y,0,1,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1 + -1*G + R >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && -1 + G + R >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + -1*C + R >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && -1 + C + R >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && R + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -2 + R + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1 + R >= 0 && -1 + Q + R >= 0 && -1 + -1*Q + R >= 0 && -1*Q >= 0 && Q >= 0 && B >= A] 11. f25(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f15(A,B,1 + C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1 + -1*G + R >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && -1 + G + R >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + -1*C + R >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && -1 + C + R >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && R + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -2 + R + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1 + R >= 0 && -1 + Q + R >= 0 && -1 + -1*Q + R >= 0 && -1*Q >= 0 && Q >= 0 && A >= 1 + B] 12. f61(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f61(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1 + C + -1*H >= 0 (?,1) && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0] 13. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1 + C,D,E,F,G,H,I,J,K,L,0,0,O,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M = 0] 14. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f46(A,B,C,D,E,F,G,H,I,J,K,L,M,M,O,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M >= 1] 15. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f46(A,B,C,D,E,F,G,H,I,J,K,L,M,M,O,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && 0 >= 1 + M] 16. f46(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,D,E,F,G,H,I,Y,Z,A1,A1,N,O,B1,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M + -1*N >= 0 && -1*M + N >= 0 && B >= A] 17. f46(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1 + C,Y,0,F,G,H,I,J,K,L,M,N,Z,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M + -1*N >= 0 && -1*M + N >= 0 && B >= A] 18. f46(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1 + C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M + -1*N >= 0 && -1*M + N >= 0 && A >= 1 + B] Signature: {(f0,24);(f15,24);(f25,24);(f31,24);(f36,24);(f45,24);(f46,24);(f61,24)} Flow Graph: [0->{3,4},1->{3,4},2->{5,6,7,8},3->{12},4->{13,14,15},5->{9},6->{5,6,7,8},7->{10,11},8->{10,11},9->{9} ,10->{5,6,7,8},11->{5,6,7,8},12->{12},13->{3,4},14->{16,17,18},15->{16,17,18},16->{13,14,15},17->{3,4} ,18->{3,4}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: AddSinks MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1,D,E,F,0,A1,I,J,K,L,M,N,O,P,0,Z,S,T,U,V,W,Y) [Y >= 2] (1,1) 1. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1,D,E,F,0,A1,I,J,K,L,M,N,O,P,0,Z,S,T,U,V,W,Y) [0 >= Y] (1,1) 2. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f15(A,B,0,D,E,F,0,Z,I,J,K,L,M,N,O,P,0,Y,S,T,U,V,W,1) True (1,1) 3. f36(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f61(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,0,R,S,T,U,V,W,X) [-1*G >= 0 (1,1) && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && C >= 1 + H] 4. f36(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,D,E,F,G,H,Y,Z,A1,B1,B1,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && H >= C] 5. f15(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (1,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && G + Q >= 0 && G + -1*Q >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1*Q >= 0 && Q >= 0 && C >= R] 6. f15(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f15(A,B,1 + C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,Y,Z,0,0,0,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && G + Q >= 0 && G + -1*Q >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1*Q >= 0 && Q >= 0 && R >= 1 + C] 7. f15(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f25(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,Y,Z,A1,A1,A1,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && G + Q >= 0 && G + -1*Q >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1*Q >= 0 && Q >= 0 && A1 >= 1 && R >= 1 + C] 8. f15(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f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f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && G + Q >= 0 && G + -1*Q >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && C + -1*R >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1*Q >= 0 && Q >= 0] 10. f25(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f15(A,B,1 + C,Y,0,1,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1 + -1*G + R >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && -1 + G + R >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + -1*C + R >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && -1 + C + R >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && R + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -2 + R + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1 + R >= 0 && -1 + Q + R >= 0 && -1 + -1*Q + R >= 0 && -1*Q >= 0 && Q >= 0 && B >= A] 11. f25(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f15(A,B,1 + C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1 + -1*G + R >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && -1 + G + R >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + -1*C + R >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && -1 + C + R >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && R + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -2 + R + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1 + R >= 0 && -1 + Q + R >= 0 && -1 + -1*Q + R >= 0 && -1*Q >= 0 && Q >= 0 && A >= 1 + B] 12. f61(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f61(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1 + C + -1*H >= 0 (?,1) && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0] 13. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1 + C,D,E,F,G,H,I,J,K,L,0,0,O,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M = 0] 14. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f46(A,B,C,D,E,F,G,H,I,J,K,L,M,M,O,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M >= 1] 15. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f46(A,B,C,D,E,F,G,H,I,J,K,L,M,M,O,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && 0 >= 1 + M] 16. f46(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,D,E,F,G,H,I,Y,Z,A1,A1,N,O,B1,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M + -1*N >= 0 && -1*M + N >= 0 && B >= A] 17. f46(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1 + C,Y,0,F,G,H,I,J,K,L,M,N,Z,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M + -1*N >= 0 && -1*M + N >= 0 && B >= A] 18. f46(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1 + C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M + -1*N >= 0 && -1*M + N >= 0 && A >= 1 + B] Signature: {(f0,24);(f15,24);(f25,24);(f31,24);(f36,24);(f45,24);(f46,24);(f61,24)} Flow Graph: [0->{3,4},1->{3,4},2->{5,6,7,8},3->{12},4->{13,14,15},5->{9},6->{5,6,7,8},7->{10,11},8->{10,11},9->{9} ,10->{5,6,7,8},11->{5,6,7,8},12->{12},13->{3,4},14->{16,17,18},15->{16,17,18},16->{13,14,15},17->{3,4} ,18->{3,4}] + Applied Processor: AddSinks + Details: () * Step 3: Failure MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1,D,E,F,0,A1,I,J,K,L,M,N,O,P,0,Z,S,T,U,V,W,Y) [Y >= 2] (1,1) 1. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1,D,E,F,0,A1,I,J,K,L,M,N,O,P,0,Z,S,T,U,V,W,Y) [0 >= Y] (1,1) 2. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f15(A,B,0,D,E,F,0,Z,I,J,K,L,M,N,O,P,0,Y,S,T,U,V,W,1) True (1,1) 3. f36(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f61(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,0,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && C >= 1 + H] 4. f36(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,D,E,F,G,H,Y,Z,A1,B1,B1,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && H >= C] 5. f15(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && G + Q >= 0 && G + -1*Q >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1*Q >= 0 && Q >= 0 && C >= R] 6. f15(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f15(A,B,1 + C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,Y,Z,0,0,0,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && G + Q >= 0 && G + -1*Q >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1*Q >= 0 && Q >= 0 && R >= 1 + C] 7. f15(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f25(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,Y,Z,A1,A1,A1,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && G + Q >= 0 && G + -1*Q >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1*Q >= 0 && Q >= 0 && A1 >= 1 && R >= 1 + C] 8. f15(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f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f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && G + Q >= 0 && G + -1*Q >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && C + -1*R >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1*Q >= 0 && Q >= 0] 10. f25(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f15(A,B,1 + C,Y,0,1,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1 + -1*G + R >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && -1 + G + R >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + -1*C + R >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && -1 + C + R >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && R + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -2 + R + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1 + R >= 0 && -1 + Q + R >= 0 && -1 + -1*Q + R >= 0 && -1*Q >= 0 && Q >= 0 && B >= A] 11. f25(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f15(A,B,1 + C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1*G >= 0 (?,1) && C + -1*G >= 0 && -1 + -1*G + X >= 0 && 1 + -1*G + -1*X >= 0 && -1 + -1*G + R >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && C + G >= 0 && -1 + G + X >= 0 && 1 + G + -1*X >= 0 && -1 + G + R >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + -1*C + R >= 0 && C >= 0 && -1 + C + X >= 0 && 1 + C + -1*X >= 0 && -1 + C + R >= 0 && C + Q >= 0 && C + -1*Q >= 0 && 1 + -1*X >= 0 && R + -1*X >= 0 && 1 + Q + -1*X >= 0 && 1 + -1*Q + -1*X >= 0 && -1 + X >= 0 && -2 + R + X >= 0 && -1 + Q + X >= 0 && -1 + -1*Q + X >= 0 && -1 + R >= 0 && -1 + Q + R >= 0 && -1 + -1*Q + R >= 0 && -1*Q >= 0 && Q >= 0 && A >= 1 + B] 12. f61(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f61(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1 + C + -1*H >= 0 (?,1) && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0] 13. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1 + C,D,E,F,G,H,I,J,K,L,0,0,O,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M = 0] 14. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f46(A,B,C,D,E,F,G,H,I,J,K,L,M,M,O,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M >= 1] 15. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f46(A,B,C,D,E,F,G,H,I,J,K,L,M,M,O,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && 0 >= 1 + M] 16. f46(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,D,E,F,G,H,I,Y,Z,A1,A1,N,O,B1,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M + -1*N >= 0 && -1*M + N >= 0 && B >= A] 17. f46(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1 + C,Y,0,F,G,H,I,J,K,L,M,N,Z,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M + -1*N >= 0 && -1*M + N >= 0 && B >= A] 18. f46(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f36(A,B,1 + C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [-1 + H >= 0 (?,1) && -1 + G + H >= 0 && -1 + -1*G + H >= 0 && -2 + C + H >= 0 && -1*C + H >= 0 && -1 + H + Q >= 0 && -1 + H + -1*Q >= 0 && -1*G >= 0 && -1 + C + -1*G >= 0 && -1*G + Q >= 0 && -1*G + -1*Q >= 0 && G >= 0 && -1 + C + G >= 0 && G + Q >= 0 && G + -1*Q >= 0 && -1 + C >= 0 && -1 + C + Q >= 0 && -1 + C + -1*Q >= 0 && -1*Q >= 0 && Q >= 0 && M + -1*N >= 0 && -1*M + N >= 0 && A >= 1 + B] 19. f31(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 20. f61(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) Signature: {(exitus616,24);(f0,24);(f15,24);(f25,24);(f31,24);(f36,24);(f45,24);(f46,24);(f61,24)} Flow Graph: [0->{3,4},1->{3,4},2->{5,6,7,8},3->{12,20},4->{13,14,15},5->{9,19},6->{5,6,7,8},7->{10,11},8->{10,11} ,9->{9,19},10->{5,6,7,8},11->{5,6,7,8},12->{12,20},13->{3,4},14->{16,17,18},15->{16,17,18},16->{13,14,15} ,17->{3,4},18->{3,4},19->{},20->{}] + Applied Processor: LooptreeTransformer + 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:[6,10,7,11,8] c: [11] | | | `- p:[6,10,7,8] c: [10] | | | `- p:[6] c: [6] | +- p:[9] c: [] | +- p:[4,13,16,14,15,17,18] c: [18] | | | `- p:[4,13,16,14,15,17] c: [17] | | | `- p:[4,13,16,14,15] c: [13] | | | `- p:[14,16,15] c: [] | `- p:[12] c: [] MAYBE