WORST_CASE(?,O(n^1)) * Step 1: RestrictVarsProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f13(1,X,Y,Z,A1,B1,C1,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) [A = 1] (1,1) 1. f13(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f16(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) [H >= I] (?,1) 2. f16(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f16(A,B,C,D,E,F,G,H,I,J,1 + K,2 + L,M,N,O,P,Q,R,S,T,U,V,W) [J >= K] (?,1) 3. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f27(A,X,Y,Z,A1,B1,C1,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) [0 >= A] (1,1) 4. f2(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f27(A,X,Y,Z,A1,B1,C1,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) [A >= 2] (1,1) 5. f27(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f35(A,B,C,D,E,F,G,H,I,J,K,L,2 + H + -1*I,1,0,P,Q,R,S,T,U,V,W) [0 >= I && H >= I] (?,1) 6. f27(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f35(A,B,C,D,E,F,G,H,I,J,K,L,2 + H + -1*I,1,0,P,Q,R,S,T,U,V,W) [I >= 2 && H >= I] (?,1) 7. f27(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f35(A,B,C,D,E,F,G,H,1,J,K,L,1,1,0,P,Q,R,S,T,U,V,W) [H >= 1 && I = 1] (?,1) 8. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f38(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 9. f38(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f53(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) [0 >= Q && J >= K] (?,1) 10. f38(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f53(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) [Q >= 2 && J >= K] (?,1) 11. f38(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f38(A,B,C,D,E,F,G,H,I,J,1 + K,3 + X,M,N,O,P,1,B*Y + B*Z,A1*B + -1*B*B1,C*C1 + -1*C*D1,-1*C*E1 + -1*C*F1[J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) ,V,W) 12. f38(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f38(A,B,C,D,E,F,G,H,I,J,1 + K,3 + X,M,N,O,P,1,B*Y + B*Z,A1*B + -1*B*B1,C*C1 + -1*C*D1,-1*C*E1 + -1*C*F1[J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) ,V,W) 13. f38(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f38(A,B,C,D,E,F,G,H,I,J,2,1,M,N,O,P,1,B*X + B*Y,-1*A1*B + B*Z,B1*C + -1*C*C1,-1*C*D1 + -1*C*E1,V,W) [J >= 1 && K = 1 && Q = 1] (?,1) 14. f53(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f38(A,B,C,D,E,F,G,H,I,J,1 + K,2 + J + -1*K,M,N,O,P,Q,B*X + B*Y,-1*A1*B + B*Z,B1*C + -1*C*C1 [Q >= 2*F1 && 3*F1 >= 1 + Q && 0 >= K] (?,1) ,-1*C*D1 + -1*C*E1,3 + -1*F1 + P,W) 15. f53(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f38(A,B,C,D,E,F,G,H,I,J,1 + K,2 + J + -1*K,M,N,O,P,Q,B*X + B*Y,-1*A1*B + B*Z,B1*C + -1*C*C1 [Q >= 2*F1 && 3*F1 >= 1 + Q && K >= 2] (?,1) ,-1*C*D1 + -1*C*E1,3 + -1*F1 + P,W) 16. f53(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f38(A,B,C,D,E,F,G,H,I,J,2,1,M,N,O,P,Q,B*X + B*Y,-1*A1*B + B*Z,B1*C + -1*C*C1,-1*C*D1 + -1*C*E1 [Q >= 2*F1 && 3*F1 >= 1 + Q && K = 1] (?,1) ,3 + -1*F1 + P,W) 17. f38(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f35(A,B,C,D,N,F,G,H,I,J,K,L,M,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q,R,S,T,U,V,2 + W) [K >= 1 + J] (?,1) 18. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f27(A,B,C,D,E,F,G,H,1 + I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f1(-1,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f13(A,B,C,D,E,F,G,H,1 + I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) [K >= 1 + J] (?,1) 23. f13(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) -> f27(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W) [I >= 1 + H] (?,1) Signature: {(f1,23);(f13,23);(f16,23);(f2,23);(f27,23);(f35,23);(f38,23);(f53,23)} Flow Graph: [0->{1,23},1->{2,22},2->{2,22},3->{5,6,7,19,20,21},4->{5,6,7,19,20,21},5->{8,18},6->{8,18},7->{8,18},8->{9 ,10,11,12,13,17},9->{14,15,16},10->{14,15,16},11->{9,10,11,12,13,17},12->{9,10,11,12,13,17},13->{9,10,11,12 ,13,17},14->{9,10,11,12,13,17},15->{9,10,11,12,13,17},16->{9,10,11,12,13,17},17->{8,18},18->{5,6,7,19,20,21} ,19->{},20->{},21->{},22->{1,23},23->{5,6,7,19,20,21}] + Applied Processor: RestrictVarsProcessor + Details: We removed the arguments [D,E,L,M,R,S,T,U,V,W] . * Step 2: LocalSizeboundsProc WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1] (1,1) 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 3. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A] (1,1) 4. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2] (1,1) 5. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I] (?,1) 6. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I] (?,1) 7. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 9. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= Q && J >= K] (?,1) 10. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [Q >= 2 && J >= K] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 14. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && 0 >= K] (?,1) 15. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K >= 2] (?,1) 16. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K = 1] (?,1) 17. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [0->{1,23},1->{2,22},2->{2,22},3->{5,6,7,19,20,21},4->{5,6,7,19,20,21},5->{8,18},6->{8,18},7->{8,18},8->{9 ,10,11,12,13,17},9->{14,15,16},10->{14,15,16},11->{9,10,11,12,13,17},12->{9,10,11,12,13,17},13->{9,10,11,12 ,13,17},14->{9,10,11,12,13,17},15->{9,10,11,12,13,17},16->{9,10,11,12,13,17},17->{8,18},18->{5,6,7,19,20,21} ,19->{},20->{},21->{},22->{1,23},23->{5,6,7,19,20,21}] + Applied Processor: LocalSizeboundsProc + Details: LocalSizebounds generated; rvgraph (< 0,0,A>, 1, .= 1) (< 0,0,B>, ?, .?) (< 0,0,C>, ?, .?) (< 0,0,F>, ?, .?) (< 0,0,G>, ?, .?) (< 0,0,H>, H, .= 0) (< 0,0,I>, I, .= 0) (< 0,0,J>, J, .= 0) (< 0,0,K>, K, .= 0) (< 0,0,N>, N, .= 0) (< 0,0,O>, O, .= 0) (< 0,0,P>, P, .= 0) (< 0,0,Q>, Q, .= 0) (< 1,0,A>, A, .= 0) (< 1,0,B>, B, .= 0) (< 1,0,C>, C, .= 0) (< 1,0,F>, F, .= 0) (< 1,0,G>, G, .= 0) (< 1,0,H>, H, .= 0) (< 1,0,I>, I, .= 0) (< 1,0,J>, J, .= 0) (< 1,0,K>, K, .= 0) (< 1,0,N>, N, .= 0) (< 1,0,O>, O, .= 0) (< 1,0,P>, P, .= 0) (< 1,0,Q>, Q, .= 0) (< 2,0,A>, A, .= 0) (< 2,0,B>, B, .= 0) (< 2,0,C>, C, .= 0) (< 2,0,F>, F, .= 0) (< 2,0,G>, G, .= 0) (< 2,0,H>, H, .= 0) (< 2,0,I>, I, .= 0) (< 2,0,J>, J, .= 0) (< 2,0,K>, 1 + K, .+ 1) (< 2,0,N>, N, .= 0) (< 2,0,O>, O, .= 0) (< 2,0,P>, P, .= 0) (< 2,0,Q>, Q, .= 0) (< 3,0,A>, A, .= 0) (< 3,0,B>, ?, .?) (< 3,0,C>, ?, .?) (< 3,0,F>, ?, .?) (< 3,0,G>, ?, .?) (< 3,0,H>, H, .= 0) (< 3,0,I>, I, .= 0) (< 3,0,J>, J, .= 0) (< 3,0,K>, K, .= 0) (< 3,0,N>, N, .= 0) (< 3,0,O>, O, .= 0) (< 3,0,P>, P, .= 0) (< 3,0,Q>, Q, .= 0) (< 4,0,A>, A, .= 0) (< 4,0,B>, ?, .?) (< 4,0,C>, ?, .?) (< 4,0,F>, ?, .?) (< 4,0,G>, ?, .?) (< 4,0,H>, H, .= 0) (< 4,0,I>, I, .= 0) (< 4,0,J>, J, .= 0) (< 4,0,K>, K, .= 0) (< 4,0,N>, N, .= 0) (< 4,0,O>, O, .= 0) (< 4,0,P>, P, .= 0) (< 4,0,Q>, Q, .= 0) (< 5,0,A>, A, .= 0) (< 5,0,B>, B, .= 0) (< 5,0,C>, C, .= 0) (< 5,0,F>, F, .= 0) (< 5,0,G>, G, .= 0) (< 5,0,H>, H, .= 0) (< 5,0,I>, I, .= 0) (< 5,0,J>, J, .= 0) (< 5,0,K>, K, .= 0) (< 5,0,N>, 1, .= 1) (< 5,0,O>, 0, .= 0) (< 5,0,P>, P, .= 0) (< 5,0,Q>, Q, .= 0) (< 6,0,A>, A, .= 0) (< 6,0,B>, B, .= 0) (< 6,0,C>, C, .= 0) (< 6,0,F>, F, .= 0) (< 6,0,G>, G, .= 0) (< 6,0,H>, H, .= 0) (< 6,0,I>, I, .= 0) (< 6,0,J>, J, .= 0) (< 6,0,K>, K, .= 0) (< 6,0,N>, 1, .= 1) (< 6,0,O>, 0, .= 0) (< 6,0,P>, P, .= 0) (< 6,0,Q>, Q, .= 0) (< 7,0,A>, A, .= 0) (< 7,0,B>, B, .= 0) (< 7,0,C>, C, .= 0) (< 7,0,F>, F, .= 0) (< 7,0,G>, G, .= 0) (< 7,0,H>, H, .= 0) (< 7,0,I>, 1, .= 1) (< 7,0,J>, J, .= 0) (< 7,0,K>, K, .= 0) (< 7,0,N>, 1, .= 1) (< 7,0,O>, 0, .= 0) (< 7,0,P>, P, .= 0) (< 7,0,Q>, Q, .= 0) (< 8,0,A>, A, .= 0) (< 8,0,B>, B, .= 0) (< 8,0,C>, C, .= 0) (< 8,0,F>, F, .= 0) (< 8,0,G>, G, .= 0) (< 8,0,H>, H, .= 0) (< 8,0,I>, I, .= 0) (< 8,0,J>, J, .= 0) (< 8,0,K>, K, .= 0) (< 8,0,N>, N, .= 0) (< 8,0,O>, O, .= 0) (< 8,0,P>, P, .= 0) (< 8,0,Q>, Q, .= 0) (< 9,0,A>, A, .= 0) (< 9,0,B>, B, .= 0) (< 9,0,C>, C, .= 0) (< 9,0,F>, F, .= 0) (< 9,0,G>, G, .= 0) (< 9,0,H>, H, .= 0) (< 9,0,I>, I, .= 0) (< 9,0,J>, J, .= 0) (< 9,0,K>, K, .= 0) (< 9,0,N>, N, .= 0) (< 9,0,O>, O, .= 0) (< 9,0,P>, P, .= 0) (< 9,0,Q>, Q, .= 0) (<10,0,A>, A, .= 0) (<10,0,B>, B, .= 0) (<10,0,C>, C, .= 0) (<10,0,F>, F, .= 0) (<10,0,G>, G, .= 0) (<10,0,H>, H, .= 0) (<10,0,I>, I, .= 0) (<10,0,J>, J, .= 0) (<10,0,K>, K, .= 0) (<10,0,N>, N, .= 0) (<10,0,O>, O, .= 0) (<10,0,P>, P, .= 0) (<10,0,Q>, Q, .= 0) (<11,0,A>, A, .= 0) (<11,0,B>, B, .= 0) (<11,0,C>, C, .= 0) (<11,0,F>, F, .= 0) (<11,0,G>, G, .= 0) (<11,0,H>, H, .= 0) (<11,0,I>, I, .= 0) (<11,0,J>, J, .= 0) (<11,0,K>, 1 + K, .+ 1) (<11,0,N>, N, .= 0) (<11,0,O>, O, .= 0) (<11,0,P>, P, .= 0) (<11,0,Q>, 1, .= 1) (<12,0,A>, A, .= 0) (<12,0,B>, B, .= 0) (<12,0,C>, C, .= 0) (<12,0,F>, F, .= 0) (<12,0,G>, G, .= 0) (<12,0,H>, H, .= 0) (<12,0,I>, I, .= 0) (<12,0,J>, J, .= 0) (<12,0,K>, 3 + K, .+ 3) (<12,0,N>, N, .= 0) (<12,0,O>, O, .= 0) (<12,0,P>, P, .= 0) (<12,0,Q>, 1, .= 1) (<13,0,A>, A, .= 0) (<13,0,B>, B, .= 0) (<13,0,C>, C, .= 0) (<13,0,F>, F, .= 0) (<13,0,G>, G, .= 0) (<13,0,H>, H, .= 0) (<13,0,I>, I, .= 0) (<13,0,J>, J, .= 0) (<13,0,K>, 2, .= 2) (<13,0,N>, N, .= 0) (<13,0,O>, O, .= 0) (<13,0,P>, P, .= 0) (<13,0,Q>, 1, .= 1) (<14,0,A>, A, .= 0) (<14,0,B>, B, .= 0) (<14,0,C>, C, .= 0) (<14,0,F>, F, .= 0) (<14,0,G>, G, .= 0) (<14,0,H>, H, .= 0) (<14,0,I>, I, .= 0) (<14,0,J>, J, .= 0) (<14,0,K>, 1 + K, .+ 1) (<14,0,N>, N, .= 0) (<14,0,O>, O, .= 0) (<14,0,P>, P, .= 0) (<14,0,Q>, Q, .= 0) (<15,0,A>, A, .= 0) (<15,0,B>, B, .= 0) (<15,0,C>, C, .= 0) (<15,0,F>, F, .= 0) (<15,0,G>, G, .= 0) (<15,0,H>, H, .= 0) (<15,0,I>, I, .= 0) (<15,0,J>, J, .= 0) (<15,0,K>, 1 + K, .+ 1) (<15,0,N>, N, .= 0) (<15,0,O>, O, .= 0) (<15,0,P>, P, .= 0) (<15,0,Q>, Q, .= 0) (<16,0,A>, A, .= 0) (<16,0,B>, B, .= 0) (<16,0,C>, C, .= 0) (<16,0,F>, F, .= 0) (<16,0,G>, G, .= 0) (<16,0,H>, H, .= 0) (<16,0,I>, I, .= 0) (<16,0,J>, J, .= 0) (<16,0,K>, 2, .= 2) (<16,0,N>, N, .= 0) (<16,0,O>, O, .= 0) (<16,0,P>, P, .= 0) (<16,0,Q>, Q, .= 0) (<17,0,A>, A, .= 0) (<17,0,B>, B, .= 0) (<17,0,C>, C, .= 0) (<17,0,F>, F, .= 0) (<17,0,G>, G, .= 0) (<17,0,H>, H, .= 0) (<17,0,I>, I, .= 0) (<17,0,J>, J, .= 0) (<17,0,K>, K, .= 0) (<17,0,N>, ?, .?) (<17,0,O>, ?, .?) (<17,0,P>, P, .= 0) (<17,0,Q>, 1 + Q, .+ 1) (<18,0,A>, A, .= 0) (<18,0,B>, B, .= 0) (<18,0,C>, C, .= 0) (<18,0,F>, F, .= 0) (<18,0,G>, G, .= 0) (<18,0,H>, H, .= 0) (<18,0,I>, 1 + I, .+ 1) (<18,0,J>, J, .= 0) (<18,0,K>, K, .= 0) (<18,0,N>, N, .= 0) (<18,0,O>, O, .= 0) (<18,0,P>, P, .= 0) (<18,0,Q>, Q, .= 0) (<19,0,A>, A, .= 0) (<19,0,B>, B, .= 0) (<19,0,C>, C, .= 0) (<19,0,F>, F, .= 0) (<19,0,G>, G, .= 0) (<19,0,H>, H, .= 0) (<19,0,I>, I, .= 0) (<19,0,J>, J, .= 0) (<19,0,K>, K, .= 0) (<19,0,N>, N, .= 0) (<19,0,O>, O, .= 0) (<19,0,P>, P, .= 0) (<19,0,Q>, Q, .= 0) (<20,0,A>, A, .= 0) (<20,0,B>, B, .= 0) (<20,0,C>, C, .= 0) (<20,0,F>, F, .= 0) (<20,0,G>, G, .= 0) (<20,0,H>, H, .= 0) (<20,0,I>, I, .= 0) (<20,0,J>, J, .= 0) (<20,0,K>, K, .= 0) (<20,0,N>, N, .= 0) (<20,0,O>, O, .= 0) (<20,0,P>, P, .= 0) (<20,0,Q>, Q, .= 0) (<21,0,A>, 1, .= 1) (<21,0,B>, B, .= 0) (<21,0,C>, C, .= 0) (<21,0,F>, F, .= 0) (<21,0,G>, G, .= 0) (<21,0,H>, H, .= 0) (<21,0,I>, I, .= 0) (<21,0,J>, J, .= 0) (<21,0,K>, K, .= 0) (<21,0,N>, N, .= 0) (<21,0,O>, O, .= 0) (<21,0,P>, P, .= 0) (<21,0,Q>, Q, .= 0) (<22,0,A>, A, .= 0) (<22,0,B>, B, .= 0) (<22,0,C>, C, .= 0) (<22,0,F>, F, .= 0) (<22,0,G>, G, .= 0) (<22,0,H>, H, .= 0) (<22,0,I>, 1 + I, .+ 1) (<22,0,J>, J, .= 0) (<22,0,K>, K, .= 0) (<22,0,N>, N, .= 0) (<22,0,O>, O, .= 0) (<22,0,P>, P, .= 0) (<22,0,Q>, Q, .= 0) (<23,0,A>, A, .= 0) (<23,0,B>, B, .= 0) (<23,0,C>, C, .= 0) (<23,0,F>, F, .= 0) (<23,0,G>, G, .= 0) (<23,0,H>, H, .= 0) (<23,0,I>, I, .= 0) (<23,0,J>, J, .= 0) (<23,0,K>, K, .= 0) (<23,0,N>, N, .= 0) (<23,0,O>, O, .= 0) (<23,0,P>, P, .= 0) (<23,0,Q>, Q, .= 0) * Step 3: SizeboundsProc WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1] (1,1) 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 3. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A] (1,1) 4. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2] (1,1) 5. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I] (?,1) 6. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I] (?,1) 7. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 9. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= Q && J >= K] (?,1) 10. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [Q >= 2 && J >= K] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 14. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && 0 >= K] (?,1) 15. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K >= 2] (?,1) 16. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K = 1] (?,1) 17. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [0->{1,23},1->{2,22},2->{2,22},3->{5,6,7,19,20,21},4->{5,6,7,19,20,21},5->{8,18},6->{8,18},7->{8,18},8->{9 ,10,11,12,13,17},9->{14,15,16},10->{14,15,16},11->{9,10,11,12,13,17},12->{9,10,11,12,13,17},13->{9,10,11,12 ,13,17},14->{9,10,11,12,13,17},15->{9,10,11,12,13,17},16->{9,10,11,12,13,17},17->{8,18},18->{5,6,7,19,20,21} ,19->{},20->{},21->{},22->{1,23},23->{5,6,7,19,20,21}] Sizebounds: (< 0,0,A>, ?) (< 0,0,B>, ?) (< 0,0,C>, ?) (< 0,0,F>, ?) (< 0,0,G>, ?) (< 0,0,H>, ?) (< 0,0,I>, ?) (< 0,0,J>, ?) (< 0,0,K>, ?) (< 0,0,N>, ?) (< 0,0,O>, ?) (< 0,0,P>, ?) (< 0,0,Q>, ?) (< 1,0,A>, ?) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, ?) (< 1,0,I>, ?) (< 1,0,J>, ?) (< 1,0,K>, ?) (< 1,0,N>, ?) (< 1,0,O>, ?) (< 1,0,P>, ?) (< 1,0,Q>, ?) (< 2,0,A>, ?) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, ?) (< 2,0,I>, ?) (< 2,0,J>, ?) (< 2,0,K>, ?) (< 2,0,N>, ?) (< 2,0,O>, ?) (< 2,0,P>, ?) (< 2,0,Q>, ?) (< 3,0,A>, ?) (< 3,0,B>, ?) (< 3,0,C>, ?) (< 3,0,F>, ?) (< 3,0,G>, ?) (< 3,0,H>, ?) (< 3,0,I>, ?) (< 3,0,J>, ?) (< 3,0,K>, ?) (< 3,0,N>, ?) (< 3,0,O>, ?) (< 3,0,P>, ?) (< 3,0,Q>, ?) (< 4,0,A>, ?) (< 4,0,B>, ?) (< 4,0,C>, ?) (< 4,0,F>, ?) (< 4,0,G>, ?) (< 4,0,H>, ?) (< 4,0,I>, ?) (< 4,0,J>, ?) (< 4,0,K>, ?) (< 4,0,N>, ?) (< 4,0,O>, ?) (< 4,0,P>, ?) (< 4,0,Q>, ?) (< 5,0,A>, ?) (< 5,0,B>, ?) (< 5,0,C>, ?) (< 5,0,F>, ?) (< 5,0,G>, ?) (< 5,0,H>, ?) (< 5,0,I>, ?) (< 5,0,J>, ?) (< 5,0,K>, ?) (< 5,0,N>, ?) (< 5,0,O>, ?) (< 5,0,P>, ?) (< 5,0,Q>, ?) (< 6,0,A>, ?) (< 6,0,B>, ?) (< 6,0,C>, ?) (< 6,0,F>, ?) (< 6,0,G>, ?) (< 6,0,H>, ?) (< 6,0,I>, ?) (< 6,0,J>, ?) (< 6,0,K>, ?) (< 6,0,N>, ?) (< 6,0,O>, ?) (< 6,0,P>, ?) (< 6,0,Q>, ?) (< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,F>, ?) (< 7,0,G>, ?) (< 7,0,H>, ?) (< 7,0,I>, ?) (< 7,0,J>, ?) (< 7,0,K>, ?) (< 7,0,N>, ?) (< 7,0,O>, ?) (< 7,0,P>, ?) (< 7,0,Q>, ?) (< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, ?) (< 8,0,I>, ?) (< 8,0,J>, ?) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, ?) (< 8,0,Q>, ?) (< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,F>, ?) (< 9,0,G>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,J>, ?) (< 9,0,K>, ?) (< 9,0,N>, ?) (< 9,0,O>, ?) (< 9,0,P>, ?) (< 9,0,Q>, ?) (<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,F>, ?) (<10,0,G>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,J>, ?) (<10,0,K>, ?) (<10,0,N>, ?) (<10,0,O>, ?) (<10,0,P>, ?) (<10,0,Q>, ?) (<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,J>, ?) (<11,0,K>, ?) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, ?) (<11,0,Q>, ?) (<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,J>, ?) (<12,0,K>, ?) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, ?) (<12,0,Q>, ?) (<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,J>, ?) (<13,0,K>, ?) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, ?) (<13,0,Q>, ?) (<14,0,A>, ?) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,F>, ?) (<14,0,G>, ?) (<14,0,H>, ?) (<14,0,I>, ?) (<14,0,J>, ?) (<14,0,K>, ?) (<14,0,N>, ?) (<14,0,O>, ?) (<14,0,P>, ?) (<14,0,Q>, ?) (<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,F>, ?) (<15,0,G>, ?) (<15,0,H>, ?) (<15,0,I>, ?) (<15,0,J>, ?) (<15,0,K>, ?) (<15,0,N>, ?) (<15,0,O>, ?) (<15,0,P>, ?) (<15,0,Q>, ?) (<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,F>, ?) (<16,0,G>, ?) (<16,0,H>, ?) (<16,0,I>, ?) (<16,0,J>, ?) (<16,0,K>, ?) (<16,0,N>, ?) (<16,0,O>, ?) (<16,0,P>, ?) (<16,0,Q>, ?) (<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,F>, ?) (<17,0,G>, ?) (<17,0,H>, ?) (<17,0,I>, ?) (<17,0,J>, ?) (<17,0,K>, ?) (<17,0,N>, ?) (<17,0,O>, ?) (<17,0,P>, ?) (<17,0,Q>, ?) (<18,0,A>, ?) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, ?) (<18,0,I>, ?) (<18,0,J>, ?) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, ?) (<18,0,Q>, ?) (<19,0,A>, ?) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, ?) (<19,0,I>, ?) (<19,0,J>, ?) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, ?) (<19,0,Q>, ?) (<20,0,A>, ?) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, ?) (<20,0,I>, ?) (<20,0,J>, ?) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, ?) (<20,0,Q>, ?) (<21,0,A>, ?) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, ?) (<21,0,I>, ?) (<21,0,J>, ?) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, ?) (<21,0,Q>, ?) (<22,0,A>, ?) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,F>, ?) (<22,0,G>, ?) (<22,0,H>, ?) (<22,0,I>, ?) (<22,0,J>, ?) (<22,0,K>, ?) (<22,0,N>, ?) (<22,0,O>, ?) (<22,0,P>, ?) (<22,0,Q>, ?) (<23,0,A>, ?) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, ?) (<23,0,I>, ?) (<23,0,J>, ?) (<23,0,K>, ?) (<23,0,N>, ?) (<23,0,O>, ?) (<23,0,P>, ?) (<23,0,Q>, ?) + Applied Processor: SizeboundsProc + Details: Sizebounds computed: (< 0,0,A>, 1) (< 0,0,B>, ?) (< 0,0,C>, ?) (< 0,0,F>, ?) (< 0,0,G>, ?) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,J>, J) (< 0,0,K>, K) (< 0,0,N>, N) (< 0,0,O>, O) (< 0,0,P>, P) (< 0,0,Q>, Q) (< 1,0,A>, 1) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, H) (< 1,0,I>, H) (< 1,0,J>, J) (< 1,0,K>, ?) (< 1,0,N>, N) (< 1,0,O>, O) (< 1,0,P>, P) (< 1,0,Q>, Q) (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 3,0,A>, A) (< 3,0,B>, ?) (< 3,0,C>, ?) (< 3,0,F>, ?) (< 3,0,G>, ?) (< 3,0,H>, H) (< 3,0,I>, I) (< 3,0,J>, J) (< 3,0,K>, K) (< 3,0,N>, N) (< 3,0,O>, O) (< 3,0,P>, P) (< 3,0,Q>, Q) (< 4,0,A>, A) (< 4,0,B>, ?) (< 4,0,C>, ?) (< 4,0,F>, ?) (< 4,0,G>, ?) (< 4,0,H>, H) (< 4,0,I>, I) (< 4,0,J>, J) (< 4,0,K>, K) (< 4,0,N>, N) (< 4,0,O>, O) (< 4,0,P>, P) (< 4,0,Q>, Q) (< 5,0,A>, 1 + A) (< 5,0,B>, ?) (< 5,0,C>, ?) (< 5,0,F>, ?) (< 5,0,G>, ?) (< 5,0,H>, H) (< 5,0,I>, 0) (< 5,0,J>, J) (< 5,0,K>, ?) (< 5,0,N>, 1) (< 5,0,O>, 0) (< 5,0,P>, P) (< 5,0,Q>, ?) (< 6,0,A>, 1 + A) (< 6,0,B>, ?) (< 6,0,C>, ?) (< 6,0,F>, ?) (< 6,0,G>, ?) (< 6,0,H>, H) (< 6,0,I>, H) (< 6,0,J>, J) (< 6,0,K>, ?) (< 6,0,N>, 1) (< 6,0,O>, 0) (< 6,0,P>, P) (< 6,0,Q>, ?) (< 7,0,A>, 1 + A) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,F>, ?) (< 7,0,G>, ?) (< 7,0,H>, H) (< 7,0,I>, 1) (< 7,0,J>, J) (< 7,0,K>, ?) (< 7,0,N>, 1) (< 7,0,O>, 0) (< 7,0,P>, P) (< 7,0,Q>, ?) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (< 9,0,A>, 1 + A) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,F>, ?) (< 9,0,G>, ?) (< 9,0,H>, H) (< 9,0,I>, ?) (< 9,0,J>, J) (< 9,0,K>, J) (< 9,0,N>, ?) (< 9,0,O>, ?) (< 9,0,P>, P) (< 9,0,Q>, 0) (<10,0,A>, 1 + A) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,F>, ?) (<10,0,G>, ?) (<10,0,H>, H) (<10,0,I>, ?) (<10,0,J>, J) (<10,0,K>, J) (<10,0,N>, ?) (<10,0,O>, ?) (<10,0,P>, P) (<10,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<14,0,A>, 1 + A) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,F>, ?) (<14,0,G>, ?) (<14,0,H>, H) (<14,0,I>, ?) (<14,0,J>, J) (<14,0,K>, 1) (<14,0,N>, ?) (<14,0,O>, ?) (<14,0,P>, P) (<14,0,Q>, ?) (<15,0,A>, 1 + A) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,F>, ?) (<15,0,G>, ?) (<15,0,H>, H) (<15,0,I>, ?) (<15,0,J>, J) (<15,0,K>, J) (<15,0,N>, ?) (<15,0,O>, ?) (<15,0,P>, P) (<15,0,Q>, ?) (<16,0,A>, 1 + A) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,F>, ?) (<16,0,G>, ?) (<16,0,H>, H) (<16,0,I>, ?) (<16,0,J>, J) (<16,0,K>, 2) (<16,0,N>, ?) (<16,0,O>, ?) (<16,0,P>, P) (<16,0,Q>, ?) (<17,0,A>, 1 + A) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,F>, ?) (<17,0,G>, ?) (<17,0,H>, H) (<17,0,I>, ?) (<17,0,J>, J) (<17,0,K>, ?) (<17,0,N>, ?) (<17,0,O>, ?) (<17,0,P>, P) (<17,0,Q>, ?) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<22,0,A>, 1) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,F>, ?) (<22,0,G>, ?) (<22,0,H>, H) (<22,0,I>, H) (<22,0,J>, J) (<22,0,K>, ?) (<22,0,N>, N) (<22,0,O>, O) (<22,0,P>, P) (<22,0,Q>, Q) (<23,0,A>, 1) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, H) (<23,0,I>, H + I) (<23,0,J>, J) (<23,0,K>, ?) (<23,0,N>, N) (<23,0,O>, O) (<23,0,P>, P) (<23,0,Q>, Q) * Step 4: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1] (1,1) 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 3. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A] (1,1) 4. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2] (1,1) 5. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I] (?,1) 6. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I] (?,1) 7. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 9. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= Q && J >= K] (?,1) 10. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [Q >= 2 && J >= K] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 14. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && 0 >= K] (?,1) 15. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K >= 2] (?,1) 16. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K = 1] (?,1) 17. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [0->{1,23},1->{2,22},2->{2,22},3->{5,6,7,19,20,21},4->{5,6,7,19,20,21},5->{8,18},6->{8,18},7->{8,18},8->{9 ,10,11,12,13,17},9->{14,15,16},10->{14,15,16},11->{9,10,11,12,13,17},12->{9,10,11,12,13,17},13->{9,10,11,12 ,13,17},14->{9,10,11,12,13,17},15->{9,10,11,12,13,17},16->{9,10,11,12,13,17},17->{8,18},18->{5,6,7,19,20,21} ,19->{},20->{},21->{},22->{1,23},23->{5,6,7,19,20,21}] Sizebounds: (< 0,0,A>, 1) (< 0,0,B>, ?) (< 0,0,C>, ?) (< 0,0,F>, ?) (< 0,0,G>, ?) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,J>, J) (< 0,0,K>, K) (< 0,0,N>, N) (< 0,0,O>, O) (< 0,0,P>, P) (< 0,0,Q>, Q) (< 1,0,A>, 1) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, H) (< 1,0,I>, H) (< 1,0,J>, J) (< 1,0,K>, ?) (< 1,0,N>, N) (< 1,0,O>, O) (< 1,0,P>, P) (< 1,0,Q>, Q) (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 3,0,A>, A) (< 3,0,B>, ?) (< 3,0,C>, ?) (< 3,0,F>, ?) (< 3,0,G>, ?) (< 3,0,H>, H) (< 3,0,I>, I) (< 3,0,J>, J) (< 3,0,K>, K) (< 3,0,N>, N) (< 3,0,O>, O) (< 3,0,P>, P) (< 3,0,Q>, Q) (< 4,0,A>, A) (< 4,0,B>, ?) (< 4,0,C>, ?) (< 4,0,F>, ?) (< 4,0,G>, ?) (< 4,0,H>, H) (< 4,0,I>, I) (< 4,0,J>, J) (< 4,0,K>, K) (< 4,0,N>, N) (< 4,0,O>, O) (< 4,0,P>, P) (< 4,0,Q>, Q) (< 5,0,A>, 1 + A) (< 5,0,B>, ?) (< 5,0,C>, ?) (< 5,0,F>, ?) (< 5,0,G>, ?) (< 5,0,H>, H) (< 5,0,I>, 0) (< 5,0,J>, J) (< 5,0,K>, ?) (< 5,0,N>, 1) (< 5,0,O>, 0) (< 5,0,P>, P) (< 5,0,Q>, ?) (< 6,0,A>, 1 + A) (< 6,0,B>, ?) (< 6,0,C>, ?) (< 6,0,F>, ?) (< 6,0,G>, ?) (< 6,0,H>, H) (< 6,0,I>, H) (< 6,0,J>, J) (< 6,0,K>, ?) (< 6,0,N>, 1) (< 6,0,O>, 0) (< 6,0,P>, P) (< 6,0,Q>, ?) (< 7,0,A>, 1 + A) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,F>, ?) (< 7,0,G>, ?) (< 7,0,H>, H) (< 7,0,I>, 1) (< 7,0,J>, J) (< 7,0,K>, ?) (< 7,0,N>, 1) (< 7,0,O>, 0) (< 7,0,P>, P) (< 7,0,Q>, ?) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (< 9,0,A>, 1 + A) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,F>, ?) (< 9,0,G>, ?) (< 9,0,H>, H) (< 9,0,I>, ?) (< 9,0,J>, J) (< 9,0,K>, J) (< 9,0,N>, ?) (< 9,0,O>, ?) (< 9,0,P>, P) (< 9,0,Q>, 0) (<10,0,A>, 1 + A) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,F>, ?) (<10,0,G>, ?) (<10,0,H>, H) (<10,0,I>, ?) (<10,0,J>, J) (<10,0,K>, J) (<10,0,N>, ?) (<10,0,O>, ?) (<10,0,P>, P) (<10,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<14,0,A>, 1 + A) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,F>, ?) (<14,0,G>, ?) (<14,0,H>, H) (<14,0,I>, ?) (<14,0,J>, J) (<14,0,K>, 1) (<14,0,N>, ?) (<14,0,O>, ?) (<14,0,P>, P) (<14,0,Q>, ?) (<15,0,A>, 1 + A) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,F>, ?) (<15,0,G>, ?) (<15,0,H>, H) (<15,0,I>, ?) (<15,0,J>, J) (<15,0,K>, J) (<15,0,N>, ?) (<15,0,O>, ?) (<15,0,P>, P) (<15,0,Q>, ?) (<16,0,A>, 1 + A) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,F>, ?) (<16,0,G>, ?) (<16,0,H>, H) (<16,0,I>, ?) (<16,0,J>, J) (<16,0,K>, 2) (<16,0,N>, ?) (<16,0,O>, ?) (<16,0,P>, P) (<16,0,Q>, ?) (<17,0,A>, 1 + A) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,F>, ?) (<17,0,G>, ?) (<17,0,H>, H) (<17,0,I>, ?) (<17,0,J>, J) (<17,0,K>, ?) (<17,0,N>, ?) (<17,0,O>, ?) (<17,0,P>, P) (<17,0,Q>, ?) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<22,0,A>, 1) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,F>, ?) (<22,0,G>, ?) (<22,0,H>, H) (<22,0,I>, H) (<22,0,J>, J) (<22,0,K>, ?) (<22,0,N>, N) (<22,0,O>, O) (<22,0,P>, P) (<22,0,Q>, Q) (<23,0,A>, 1) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, H) (<23,0,I>, H + I) (<23,0,J>, J) (<23,0,K>, ?) (<23,0,N>, N) (<23,0,O>, O) (<23,0,P>, P) (<23,0,Q>, Q) + Applied Processor: ChainProcessor False [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23] + Details: We chained rule 0 to obtain the rules [24,25] . * Step 5: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 3. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A] (1,1) 4. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2] (1,1) 5. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I] (?,1) 6. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I] (?,1) 7. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 9. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= Q && J >= K] (?,1) 10. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [Q >= 2 && J >= K] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 14. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && 0 >= K] (?,1) 15. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K >= 2] (?,1) 16. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K = 1] (?,1) 17. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [1->{2,22},2->{2,22},3->{5,6,7,19,20,21},4->{5,6,7,19,20,21},5->{8,18},6->{8,18},7->{8,18},8->{9,10,11,12 ,13,17},9->{14,15,16},10->{14,15,16},11->{9,10,11,12,13,17},12->{9,10,11,12,13,17},13->{9,10,11,12,13,17} ,14->{9,10,11,12,13,17},15->{9,10,11,12,13,17},16->{9,10,11,12,13,17},17->{8,18},18->{5,6,7,19,20,21},19->{} ,20->{},21->{},22->{1,23},23->{5,6,7,19,20,21},24->{2,22},25->{5,6,7,19,20,21}] Sizebounds: (< 1,0,A>, 1) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, H) (< 1,0,I>, H) (< 1,0,J>, J) (< 1,0,K>, ?) (< 1,0,N>, N) (< 1,0,O>, O) (< 1,0,P>, P) (< 1,0,Q>, Q) (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 3,0,A>, A) (< 3,0,B>, ?) (< 3,0,C>, ?) (< 3,0,F>, ?) (< 3,0,G>, ?) (< 3,0,H>, H) (< 3,0,I>, I) (< 3,0,J>, J) (< 3,0,K>, K) (< 3,0,N>, N) (< 3,0,O>, O) (< 3,0,P>, P) (< 3,0,Q>, Q) (< 4,0,A>, A) (< 4,0,B>, ?) (< 4,0,C>, ?) (< 4,0,F>, ?) (< 4,0,G>, ?) (< 4,0,H>, H) (< 4,0,I>, I) (< 4,0,J>, J) (< 4,0,K>, K) (< 4,0,N>, N) (< 4,0,O>, O) (< 4,0,P>, P) (< 4,0,Q>, Q) (< 5,0,A>, 1 + A) (< 5,0,B>, ?) (< 5,0,C>, ?) (< 5,0,F>, ?) (< 5,0,G>, ?) (< 5,0,H>, H) (< 5,0,I>, 0) (< 5,0,J>, J) (< 5,0,K>, ?) (< 5,0,N>, 1) (< 5,0,O>, 0) (< 5,0,P>, P) (< 5,0,Q>, ?) (< 6,0,A>, 1 + A) (< 6,0,B>, ?) (< 6,0,C>, ?) (< 6,0,F>, ?) (< 6,0,G>, ?) (< 6,0,H>, H) (< 6,0,I>, H) (< 6,0,J>, J) (< 6,0,K>, ?) (< 6,0,N>, 1) (< 6,0,O>, 0) (< 6,0,P>, P) (< 6,0,Q>, ?) (< 7,0,A>, 1 + A) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,F>, ?) (< 7,0,G>, ?) (< 7,0,H>, H) (< 7,0,I>, 1) (< 7,0,J>, J) (< 7,0,K>, ?) (< 7,0,N>, 1) (< 7,0,O>, 0) (< 7,0,P>, P) (< 7,0,Q>, ?) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (< 9,0,A>, 1 + A) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,F>, ?) (< 9,0,G>, ?) (< 9,0,H>, H) (< 9,0,I>, ?) (< 9,0,J>, J) (< 9,0,K>, J) (< 9,0,N>, ?) (< 9,0,O>, ?) (< 9,0,P>, P) (< 9,0,Q>, 0) (<10,0,A>, 1 + A) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,F>, ?) (<10,0,G>, ?) (<10,0,H>, H) (<10,0,I>, ?) (<10,0,J>, J) (<10,0,K>, J) (<10,0,N>, ?) (<10,0,O>, ?) (<10,0,P>, P) (<10,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<14,0,A>, 1 + A) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,F>, ?) (<14,0,G>, ?) (<14,0,H>, H) (<14,0,I>, ?) (<14,0,J>, J) (<14,0,K>, 1) (<14,0,N>, ?) (<14,0,O>, ?) (<14,0,P>, P) (<14,0,Q>, ?) (<15,0,A>, 1 + A) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,F>, ?) (<15,0,G>, ?) (<15,0,H>, H) (<15,0,I>, ?) (<15,0,J>, J) (<15,0,K>, J) (<15,0,N>, ?) (<15,0,O>, ?) (<15,0,P>, P) (<15,0,Q>, ?) (<16,0,A>, 1 + A) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,F>, ?) (<16,0,G>, ?) (<16,0,H>, H) (<16,0,I>, ?) (<16,0,J>, J) (<16,0,K>, 2) (<16,0,N>, ?) (<16,0,O>, ?) (<16,0,P>, P) (<16,0,Q>, ?) (<17,0,A>, 1 + A) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,F>, ?) (<17,0,G>, ?) (<17,0,H>, H) (<17,0,I>, ?) (<17,0,J>, J) (<17,0,K>, ?) (<17,0,N>, ?) (<17,0,O>, ?) (<17,0,P>, P) (<17,0,Q>, ?) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<22,0,A>, 1) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,F>, ?) (<22,0,G>, ?) (<22,0,H>, H) (<22,0,I>, H) (<22,0,J>, J) (<22,0,K>, ?) (<22,0,N>, N) (<22,0,O>, O) (<22,0,P>, P) (<22,0,Q>, Q) (<23,0,A>, 1) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, H) (<23,0,I>, H + I) (<23,0,J>, J) (<23,0,K>, ?) (<23,0,N>, N) (<23,0,O>, O) (<23,0,P>, P) (<23,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) + Applied Processor: ChainProcessor False [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25] + Details: We chained rule 3 to obtain the rules [26,27,28,29,30,31] . * Step 6: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 4. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2] (1,1) 5. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I] (?,1) 6. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I] (?,1) 7. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 9. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= Q && J >= K] (?,1) 10. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [Q >= 2 && J >= K] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 14. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && 0 >= K] (?,1) 15. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K >= 2] (?,1) 16. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K = 1] (?,1) 17. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 26. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I] (1,2) 27. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I] (1,2) 28. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [1->{2,22},2->{2,22},4->{5,6,7,19,20,21},5->{8,18},6->{8,18},7->{8,18},8->{9,10,11,12,13,17},9->{14,15,16} ,10->{14,15,16},11->{9,10,11,12,13,17},12->{9,10,11,12,13,17},13->{9,10,11,12,13,17},14->{9,10,11,12,13,17} ,15->{9,10,11,12,13,17},16->{9,10,11,12,13,17},17->{8,18},18->{5,6,7,19,20,21},19->{},20->{},21->{},22->{1 ,23},23->{5,6,7,19,20,21},24->{2,22},25->{5,6,7,19,20,21},26->{8,18},27->{8,18},28->{8,18},29->{},30->{} ,31->{}] Sizebounds: (< 1,0,A>, 1) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, H) (< 1,0,I>, H) (< 1,0,J>, J) (< 1,0,K>, ?) (< 1,0,N>, N) (< 1,0,O>, O) (< 1,0,P>, P) (< 1,0,Q>, Q) (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 4,0,A>, A) (< 4,0,B>, ?) (< 4,0,C>, ?) (< 4,0,F>, ?) (< 4,0,G>, ?) (< 4,0,H>, H) (< 4,0,I>, I) (< 4,0,J>, J) (< 4,0,K>, K) (< 4,0,N>, N) (< 4,0,O>, O) (< 4,0,P>, P) (< 4,0,Q>, Q) (< 5,0,A>, 1 + A) (< 5,0,B>, ?) (< 5,0,C>, ?) (< 5,0,F>, ?) (< 5,0,G>, ?) (< 5,0,H>, H) (< 5,0,I>, 0) (< 5,0,J>, J) (< 5,0,K>, ?) (< 5,0,N>, 1) (< 5,0,O>, 0) (< 5,0,P>, P) (< 5,0,Q>, ?) (< 6,0,A>, 1 + A) (< 6,0,B>, ?) (< 6,0,C>, ?) (< 6,0,F>, ?) (< 6,0,G>, ?) (< 6,0,H>, H) (< 6,0,I>, H) (< 6,0,J>, J) (< 6,0,K>, ?) (< 6,0,N>, 1) (< 6,0,O>, 0) (< 6,0,P>, P) (< 6,0,Q>, ?) (< 7,0,A>, 1 + A) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,F>, ?) (< 7,0,G>, ?) (< 7,0,H>, H) (< 7,0,I>, 1) (< 7,0,J>, J) (< 7,0,K>, ?) (< 7,0,N>, 1) (< 7,0,O>, 0) (< 7,0,P>, P) (< 7,0,Q>, ?) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (< 9,0,A>, 1 + A) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,F>, ?) (< 9,0,G>, ?) (< 9,0,H>, H) (< 9,0,I>, ?) (< 9,0,J>, J) (< 9,0,K>, J) (< 9,0,N>, ?) (< 9,0,O>, ?) (< 9,0,P>, P) (< 9,0,Q>, 0) (<10,0,A>, 1 + A) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,F>, ?) (<10,0,G>, ?) (<10,0,H>, H) (<10,0,I>, ?) (<10,0,J>, J) (<10,0,K>, J) (<10,0,N>, ?) (<10,0,O>, ?) (<10,0,P>, P) (<10,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<14,0,A>, 1 + A) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,F>, ?) (<14,0,G>, ?) (<14,0,H>, H) (<14,0,I>, ?) (<14,0,J>, J) (<14,0,K>, 1) (<14,0,N>, ?) (<14,0,O>, ?) (<14,0,P>, P) (<14,0,Q>, ?) (<15,0,A>, 1 + A) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,F>, ?) (<15,0,G>, ?) (<15,0,H>, H) (<15,0,I>, ?) (<15,0,J>, J) (<15,0,K>, J) (<15,0,N>, ?) (<15,0,O>, ?) (<15,0,P>, P) (<15,0,Q>, ?) (<16,0,A>, 1 + A) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,F>, ?) (<16,0,G>, ?) (<16,0,H>, H) (<16,0,I>, ?) (<16,0,J>, J) (<16,0,K>, 2) (<16,0,N>, ?) (<16,0,O>, ?) (<16,0,P>, P) (<16,0,Q>, ?) (<17,0,A>, 1 + A) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,F>, ?) (<17,0,G>, ?) (<17,0,H>, H) (<17,0,I>, ?) (<17,0,J>, J) (<17,0,K>, ?) (<17,0,N>, ?) (<17,0,O>, ?) (<17,0,P>, P) (<17,0,Q>, ?) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<22,0,A>, 1) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,F>, ?) (<22,0,G>, ?) (<22,0,H>, H) (<22,0,I>, H) (<22,0,J>, J) (<22,0,K>, ?) (<22,0,N>, N) (<22,0,O>, O) (<22,0,P>, P) (<22,0,Q>, Q) (<23,0,A>, 1) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, H) (<23,0,I>, H + I) (<23,0,J>, J) (<23,0,K>, ?) (<23,0,N>, N) (<23,0,O>, O) (<23,0,P>, P) (<23,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<26,0,A>, 1 + A) (<26,0,B>, ?) (<26,0,C>, ?) (<26,0,F>, ?) (<26,0,G>, ?) (<26,0,H>, H) (<26,0,I>, 0) (<26,0,J>, J) (<26,0,K>, ?) (<26,0,N>, 1) (<26,0,O>, 0) (<26,0,P>, P) (<26,0,Q>, ?) (<27,0,A>, 1 + A) (<27,0,B>, ?) (<27,0,C>, ?) (<27,0,F>, ?) (<27,0,G>, ?) (<27,0,H>, H) (<27,0,I>, H) (<27,0,J>, J) (<27,0,K>, ?) (<27,0,N>, 1) (<27,0,O>, 0) (<27,0,P>, P) (<27,0,Q>, ?) (<28,0,A>, 1 + A) (<28,0,B>, ?) (<28,0,C>, ?) (<28,0,F>, ?) (<28,0,G>, ?) (<28,0,H>, H) (<28,0,I>, 1) (<28,0,J>, J) (<28,0,K>, ?) (<28,0,N>, 1) (<28,0,O>, 0) (<28,0,P>, P) (<28,0,Q>, ?) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) + Applied Processor: ChainProcessor False [1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31] + Details: We chained rule 4 to obtain the rules [32,33,34,35,36,37] . * Step 7: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 5. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I] (?,1) 6. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I] (?,1) 7. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 9. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= Q && J >= K] (?,1) 10. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [Q >= 2 && J >= K] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 14. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && 0 >= K] (?,1) 15. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K >= 2] (?,1) 16. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K = 1] (?,1) 17. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 26. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I] (1,2) 27. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I] (1,2) 28. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 32. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [1->{2,22},2->{2,22},5->{8,18},6->{8,18},7->{8,18},8->{9,10,11,12,13,17},9->{14,15,16},10->{14,15,16} ,11->{9,10,11,12,13,17},12->{9,10,11,12,13,17},13->{9,10,11,12,13,17},14->{9,10,11,12,13,17},15->{9,10,11,12 ,13,17},16->{9,10,11,12,13,17},17->{8,18},18->{5,6,7,19,20,21},19->{},20->{},21->{},22->{1,23},23->{5,6,7,19 ,20,21},24->{2,22},25->{5,6,7,19,20,21},26->{8,18},27->{8,18},28->{8,18},29->{},30->{},31->{},32->{8,18} ,33->{8,18},34->{8,18},35->{},36->{},37->{}] Sizebounds: (< 1,0,A>, 1) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, H) (< 1,0,I>, H) (< 1,0,J>, J) (< 1,0,K>, ?) (< 1,0,N>, N) (< 1,0,O>, O) (< 1,0,P>, P) (< 1,0,Q>, Q) (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 5,0,A>, 1 + A) (< 5,0,B>, ?) (< 5,0,C>, ?) (< 5,0,F>, ?) (< 5,0,G>, ?) (< 5,0,H>, H) (< 5,0,I>, 0) (< 5,0,J>, J) (< 5,0,K>, ?) (< 5,0,N>, 1) (< 5,0,O>, 0) (< 5,0,P>, P) (< 5,0,Q>, ?) (< 6,0,A>, 1 + A) (< 6,0,B>, ?) (< 6,0,C>, ?) (< 6,0,F>, ?) (< 6,0,G>, ?) (< 6,0,H>, H) (< 6,0,I>, H) (< 6,0,J>, J) (< 6,0,K>, ?) (< 6,0,N>, 1) (< 6,0,O>, 0) (< 6,0,P>, P) (< 6,0,Q>, ?) (< 7,0,A>, 1 + A) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,F>, ?) (< 7,0,G>, ?) (< 7,0,H>, H) (< 7,0,I>, 1) (< 7,0,J>, J) (< 7,0,K>, ?) (< 7,0,N>, 1) (< 7,0,O>, 0) (< 7,0,P>, P) (< 7,0,Q>, ?) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (< 9,0,A>, 1 + A) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,F>, ?) (< 9,0,G>, ?) (< 9,0,H>, H) (< 9,0,I>, ?) (< 9,0,J>, J) (< 9,0,K>, J) (< 9,0,N>, ?) (< 9,0,O>, ?) (< 9,0,P>, P) (< 9,0,Q>, 0) (<10,0,A>, 1 + A) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,F>, ?) (<10,0,G>, ?) (<10,0,H>, H) (<10,0,I>, ?) (<10,0,J>, J) (<10,0,K>, J) (<10,0,N>, ?) (<10,0,O>, ?) (<10,0,P>, P) (<10,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<14,0,A>, 1 + A) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,F>, ?) (<14,0,G>, ?) (<14,0,H>, H) (<14,0,I>, ?) (<14,0,J>, J) (<14,0,K>, 1) (<14,0,N>, ?) (<14,0,O>, ?) (<14,0,P>, P) (<14,0,Q>, ?) (<15,0,A>, 1 + A) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,F>, ?) (<15,0,G>, ?) (<15,0,H>, H) (<15,0,I>, ?) (<15,0,J>, J) (<15,0,K>, J) (<15,0,N>, ?) (<15,0,O>, ?) (<15,0,P>, P) (<15,0,Q>, ?) (<16,0,A>, 1 + A) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,F>, ?) (<16,0,G>, ?) (<16,0,H>, H) (<16,0,I>, ?) (<16,0,J>, J) (<16,0,K>, 2) (<16,0,N>, ?) (<16,0,O>, ?) (<16,0,P>, P) (<16,0,Q>, ?) (<17,0,A>, 1 + A) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,F>, ?) (<17,0,G>, ?) (<17,0,H>, H) (<17,0,I>, ?) (<17,0,J>, J) (<17,0,K>, ?) (<17,0,N>, ?) (<17,0,O>, ?) (<17,0,P>, P) (<17,0,Q>, ?) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<22,0,A>, 1) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,F>, ?) (<22,0,G>, ?) (<22,0,H>, H) (<22,0,I>, H) (<22,0,J>, J) (<22,0,K>, ?) (<22,0,N>, N) (<22,0,O>, O) (<22,0,P>, P) (<22,0,Q>, Q) (<23,0,A>, 1) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, H) (<23,0,I>, H + I) (<23,0,J>, J) (<23,0,K>, ?) (<23,0,N>, N) (<23,0,O>, O) (<23,0,P>, P) (<23,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<26,0,A>, 1 + A) (<26,0,B>, ?) (<26,0,C>, ?) (<26,0,F>, ?) (<26,0,G>, ?) (<26,0,H>, H) (<26,0,I>, 0) (<26,0,J>, J) (<26,0,K>, ?) (<26,0,N>, 1) (<26,0,O>, 0) (<26,0,P>, P) (<26,0,Q>, ?) (<27,0,A>, 1 + A) (<27,0,B>, ?) (<27,0,C>, ?) (<27,0,F>, ?) (<27,0,G>, ?) (<27,0,H>, H) (<27,0,I>, H) (<27,0,J>, J) (<27,0,K>, ?) (<27,0,N>, 1) (<27,0,O>, 0) (<27,0,P>, P) (<27,0,Q>, ?) (<28,0,A>, 1 + A) (<28,0,B>, ?) (<28,0,C>, ?) (<28,0,F>, ?) (<28,0,G>, ?) (<28,0,H>, H) (<28,0,I>, 1) (<28,0,J>, J) (<28,0,K>, ?) (<28,0,N>, 1) (<28,0,O>, 0) (<28,0,P>, P) (<28,0,Q>, ?) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<32,0,A>, 1 + A) (<32,0,B>, ?) (<32,0,C>, ?) (<32,0,F>, ?) (<32,0,G>, ?) (<32,0,H>, H) (<32,0,I>, 0) (<32,0,J>, J) (<32,0,K>, ?) (<32,0,N>, 1) (<32,0,O>, 0) (<32,0,P>, P) (<32,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) + Applied Processor: ChainProcessor False [1,2,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37] + Details: We chained rule 5 to obtain the rules [38,39] . * Step 8: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 6. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I] (?,1) 7. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 9. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= Q && J >= K] (?,1) 10. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [Q >= 2 && J >= K] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 14. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && 0 >= K] (?,1) 15. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K >= 2] (?,1) 16. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K = 1] (?,1) 17. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 26. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I] (1,2) 27. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I] (1,2) 28. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 32. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [1->{2,22},2->{2,22},6->{8,18},7->{8,18},8->{9,10,11,12,13,17},9->{14,15,16},10->{14,15,16},11->{9,10,11 ,12,13,17},12->{9,10,11,12,13,17},13->{9,10,11,12,13,17},14->{9,10,11,12,13,17},15->{9,10,11,12,13,17} ,16->{9,10,11,12,13,17},17->{8,18},18->{6,7,19,20,21,38,39},19->{},20->{},21->{},22->{1,23},23->{6,7,19,20 ,21,38,39},24->{2,22},25->{6,7,19,20,21,38,39},26->{8,18},27->{8,18},28->{8,18},29->{},30->{},31->{},32->{8 ,18},33->{8,18},34->{8,18},35->{},36->{},37->{},38->{9,10,11,12,13,17},39->{6,7,19,20,21,38,39}] Sizebounds: (< 1,0,A>, 1) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, H) (< 1,0,I>, H) (< 1,0,J>, J) (< 1,0,K>, ?) (< 1,0,N>, N) (< 1,0,O>, O) (< 1,0,P>, P) (< 1,0,Q>, Q) (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 6,0,A>, 1 + A) (< 6,0,B>, ?) (< 6,0,C>, ?) (< 6,0,F>, ?) (< 6,0,G>, ?) (< 6,0,H>, H) (< 6,0,I>, H) (< 6,0,J>, J) (< 6,0,K>, ?) (< 6,0,N>, 1) (< 6,0,O>, 0) (< 6,0,P>, P) (< 6,0,Q>, ?) (< 7,0,A>, 1 + A) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,F>, ?) (< 7,0,G>, ?) (< 7,0,H>, H) (< 7,0,I>, 1) (< 7,0,J>, J) (< 7,0,K>, ?) (< 7,0,N>, 1) (< 7,0,O>, 0) (< 7,0,P>, P) (< 7,0,Q>, ?) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (< 9,0,A>, 1 + A) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,F>, ?) (< 9,0,G>, ?) (< 9,0,H>, H) (< 9,0,I>, ?) (< 9,0,J>, J) (< 9,0,K>, J) (< 9,0,N>, ?) (< 9,0,O>, ?) (< 9,0,P>, P) (< 9,0,Q>, 0) (<10,0,A>, 1 + A) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,F>, ?) (<10,0,G>, ?) (<10,0,H>, H) (<10,0,I>, ?) (<10,0,J>, J) (<10,0,K>, J) (<10,0,N>, ?) (<10,0,O>, ?) (<10,0,P>, P) (<10,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<14,0,A>, 1 + A) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,F>, ?) (<14,0,G>, ?) (<14,0,H>, H) (<14,0,I>, ?) (<14,0,J>, J) (<14,0,K>, 1) (<14,0,N>, ?) (<14,0,O>, ?) (<14,0,P>, P) (<14,0,Q>, ?) (<15,0,A>, 1 + A) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,F>, ?) (<15,0,G>, ?) (<15,0,H>, H) (<15,0,I>, ?) (<15,0,J>, J) (<15,0,K>, J) (<15,0,N>, ?) (<15,0,O>, ?) (<15,0,P>, P) (<15,0,Q>, ?) (<16,0,A>, 1 + A) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,F>, ?) (<16,0,G>, ?) (<16,0,H>, H) (<16,0,I>, ?) (<16,0,J>, J) (<16,0,K>, 2) (<16,0,N>, ?) (<16,0,O>, ?) (<16,0,P>, P) (<16,0,Q>, ?) (<17,0,A>, 1 + A) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,F>, ?) (<17,0,G>, ?) (<17,0,H>, H) (<17,0,I>, ?) (<17,0,J>, J) (<17,0,K>, ?) (<17,0,N>, ?) (<17,0,O>, ?) (<17,0,P>, P) (<17,0,Q>, ?) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<22,0,A>, 1) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,F>, ?) (<22,0,G>, ?) (<22,0,H>, H) (<22,0,I>, H) (<22,0,J>, J) (<22,0,K>, ?) (<22,0,N>, N) (<22,0,O>, O) (<22,0,P>, P) (<22,0,Q>, Q) (<23,0,A>, 1) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, H) (<23,0,I>, H + I) (<23,0,J>, J) (<23,0,K>, ?) (<23,0,N>, N) (<23,0,O>, O) (<23,0,P>, P) (<23,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<26,0,A>, 1 + A) (<26,0,B>, ?) (<26,0,C>, ?) (<26,0,F>, ?) (<26,0,G>, ?) (<26,0,H>, H) (<26,0,I>, 0) (<26,0,J>, J) (<26,0,K>, ?) (<26,0,N>, 1) (<26,0,O>, 0) (<26,0,P>, P) (<26,0,Q>, ?) (<27,0,A>, 1 + A) (<27,0,B>, ?) (<27,0,C>, ?) (<27,0,F>, ?) (<27,0,G>, ?) (<27,0,H>, H) (<27,0,I>, H) (<27,0,J>, J) (<27,0,K>, ?) (<27,0,N>, 1) (<27,0,O>, 0) (<27,0,P>, P) (<27,0,Q>, ?) (<28,0,A>, 1 + A) (<28,0,B>, ?) (<28,0,C>, ?) (<28,0,F>, ?) (<28,0,G>, ?) (<28,0,H>, H) (<28,0,I>, 1) (<28,0,J>, J) (<28,0,K>, ?) (<28,0,N>, 1) (<28,0,O>, 0) (<28,0,P>, P) (<28,0,Q>, ?) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<32,0,A>, 1 + A) (<32,0,B>, ?) (<32,0,C>, ?) (<32,0,F>, ?) (<32,0,G>, ?) (<32,0,H>, H) (<32,0,I>, 0) (<32,0,J>, J) (<32,0,K>, ?) (<32,0,N>, 1) (<32,0,O>, 0) (<32,0,P>, P) (<32,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) + Applied Processor: ChainProcessor False [1,2,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39] + Details: We chained rule 6 to obtain the rules [40,41] . * Step 9: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 7. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 9. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= Q && J >= K] (?,1) 10. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [Q >= 2 && J >= K] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 14. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && 0 >= K] (?,1) 15. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K >= 2] (?,1) 16. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K = 1] (?,1) 17. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 26. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I] (1,2) 27. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I] (1,2) 28. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 32. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [1->{2,22},2->{2,22},7->{8,18},8->{9,10,11,12,13,17},9->{14,15,16},10->{14,15,16},11->{9,10,11,12,13,17} ,12->{9,10,11,12,13,17},13->{9,10,11,12,13,17},14->{9,10,11,12,13,17},15->{9,10,11,12,13,17},16->{9,10,11,12 ,13,17},17->{8,18},18->{7,19,20,21,38,39,40,41},19->{},20->{},21->{},22->{1,23},23->{7,19,20,21,38,39,40,41} ,24->{2,22},25->{7,19,20,21,38,39,40,41},26->{8,18},27->{8,18},28->{8,18},29->{},30->{},31->{},32->{8,18} ,33->{8,18},34->{8,18},35->{},36->{},37->{},38->{9,10,11,12,13,17},39->{7,19,20,21,38,39,40,41},40->{9,10,11 ,12,13,17},41->{7,19,20,21,38,39,40,41}] Sizebounds: (< 1,0,A>, 1) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, H) (< 1,0,I>, H) (< 1,0,J>, J) (< 1,0,K>, ?) (< 1,0,N>, N) (< 1,0,O>, O) (< 1,0,P>, P) (< 1,0,Q>, Q) (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 7,0,A>, 1 + A) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,F>, ?) (< 7,0,G>, ?) (< 7,0,H>, H) (< 7,0,I>, 1) (< 7,0,J>, J) (< 7,0,K>, ?) (< 7,0,N>, 1) (< 7,0,O>, 0) (< 7,0,P>, P) (< 7,0,Q>, ?) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (< 9,0,A>, 1 + A) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,F>, ?) (< 9,0,G>, ?) (< 9,0,H>, H) (< 9,0,I>, ?) (< 9,0,J>, J) (< 9,0,K>, J) (< 9,0,N>, ?) (< 9,0,O>, ?) (< 9,0,P>, P) (< 9,0,Q>, 0) (<10,0,A>, 1 + A) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,F>, ?) (<10,0,G>, ?) (<10,0,H>, H) (<10,0,I>, ?) (<10,0,J>, J) (<10,0,K>, J) (<10,0,N>, ?) (<10,0,O>, ?) (<10,0,P>, P) (<10,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<14,0,A>, 1 + A) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,F>, ?) (<14,0,G>, ?) (<14,0,H>, H) (<14,0,I>, ?) (<14,0,J>, J) (<14,0,K>, 1) (<14,0,N>, ?) (<14,0,O>, ?) (<14,0,P>, P) (<14,0,Q>, ?) (<15,0,A>, 1 + A) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,F>, ?) (<15,0,G>, ?) (<15,0,H>, H) (<15,0,I>, ?) (<15,0,J>, J) (<15,0,K>, J) (<15,0,N>, ?) (<15,0,O>, ?) (<15,0,P>, P) (<15,0,Q>, ?) (<16,0,A>, 1 + A) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,F>, ?) (<16,0,G>, ?) (<16,0,H>, H) (<16,0,I>, ?) (<16,0,J>, J) (<16,0,K>, 2) (<16,0,N>, ?) (<16,0,O>, ?) (<16,0,P>, P) (<16,0,Q>, ?) (<17,0,A>, 1 + A) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,F>, ?) (<17,0,G>, ?) (<17,0,H>, H) (<17,0,I>, ?) (<17,0,J>, J) (<17,0,K>, ?) (<17,0,N>, ?) (<17,0,O>, ?) (<17,0,P>, P) (<17,0,Q>, ?) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<22,0,A>, 1) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,F>, ?) (<22,0,G>, ?) (<22,0,H>, H) (<22,0,I>, H) (<22,0,J>, J) (<22,0,K>, ?) (<22,0,N>, N) (<22,0,O>, O) (<22,0,P>, P) (<22,0,Q>, Q) (<23,0,A>, 1) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, H) (<23,0,I>, H + I) (<23,0,J>, J) (<23,0,K>, ?) (<23,0,N>, N) (<23,0,O>, O) (<23,0,P>, P) (<23,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<26,0,A>, 1 + A) (<26,0,B>, ?) (<26,0,C>, ?) (<26,0,F>, ?) (<26,0,G>, ?) (<26,0,H>, H) (<26,0,I>, 0) (<26,0,J>, J) (<26,0,K>, ?) (<26,0,N>, 1) (<26,0,O>, 0) (<26,0,P>, P) (<26,0,Q>, ?) (<27,0,A>, 1 + A) (<27,0,B>, ?) (<27,0,C>, ?) (<27,0,F>, ?) (<27,0,G>, ?) (<27,0,H>, H) (<27,0,I>, H) (<27,0,J>, J) (<27,0,K>, ?) (<27,0,N>, 1) (<27,0,O>, 0) (<27,0,P>, P) (<27,0,Q>, ?) (<28,0,A>, 1 + A) (<28,0,B>, ?) (<28,0,C>, ?) (<28,0,F>, ?) (<28,0,G>, ?) (<28,0,H>, H) (<28,0,I>, 1) (<28,0,J>, J) (<28,0,K>, ?) (<28,0,N>, 1) (<28,0,O>, 0) (<28,0,P>, P) (<28,0,Q>, ?) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<32,0,A>, 1 + A) (<32,0,B>, ?) (<32,0,C>, ?) (<32,0,F>, ?) (<32,0,G>, ?) (<32,0,H>, H) (<32,0,I>, 0) (<32,0,J>, J) (<32,0,K>, ?) (<32,0,N>, 1) (<32,0,O>, 0) (<32,0,P>, P) (<32,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) + Applied Processor: ChainProcessor False [1,2,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41] + Details: We chained rule 7 to obtain the rules [42,43] . * Step 10: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 9. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= Q && J >= K] (?,1) 10. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [Q >= 2 && J >= K] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 14. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && 0 >= K] (?,1) 15. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K >= 2] (?,1) 16. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K = 1] (?,1) 17. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 26. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I] (1,2) 27. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I] (1,2) 28. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 32. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [1->{2,22},2->{2,22},8->{9,10,11,12,13,17},9->{14,15,16},10->{14,15,16},11->{9,10,11,12,13,17},12->{9,10 ,11,12,13,17},13->{9,10,11,12,13,17},14->{9,10,11,12,13,17},15->{9,10,11,12,13,17},16->{9,10,11,12,13,17} ,17->{8,18},18->{19,20,21,38,39,40,41,42,43},19->{},20->{},21->{},22->{1,23},23->{19,20,21,38,39,40,41,42 ,43},24->{2,22},25->{19,20,21,38,39,40,41,42,43},26->{8,18},27->{8,18},28->{8,18},29->{},30->{},31->{} ,32->{8,18},33->{8,18},34->{8,18},35->{},36->{},37->{},38->{9,10,11,12,13,17},39->{19,20,21,38,39,40,41,42 ,43},40->{9,10,11,12,13,17},41->{19,20,21,38,39,40,41,42,43},42->{9,10,11,12,13,17},43->{19,20,21,38,39,40 ,41,42,43}] Sizebounds: (< 1,0,A>, 1) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, H) (< 1,0,I>, H) (< 1,0,J>, J) (< 1,0,K>, ?) (< 1,0,N>, N) (< 1,0,O>, O) (< 1,0,P>, P) (< 1,0,Q>, Q) (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (< 9,0,A>, 1 + A) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,F>, ?) (< 9,0,G>, ?) (< 9,0,H>, H) (< 9,0,I>, ?) (< 9,0,J>, J) (< 9,0,K>, J) (< 9,0,N>, ?) (< 9,0,O>, ?) (< 9,0,P>, P) (< 9,0,Q>, 0) (<10,0,A>, 1 + A) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,F>, ?) (<10,0,G>, ?) (<10,0,H>, H) (<10,0,I>, ?) (<10,0,J>, J) (<10,0,K>, J) (<10,0,N>, ?) (<10,0,O>, ?) (<10,0,P>, P) (<10,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<14,0,A>, 1 + A) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,F>, ?) (<14,0,G>, ?) (<14,0,H>, H) (<14,0,I>, ?) (<14,0,J>, J) (<14,0,K>, 1) (<14,0,N>, ?) (<14,0,O>, ?) (<14,0,P>, P) (<14,0,Q>, ?) (<15,0,A>, 1 + A) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,F>, ?) (<15,0,G>, ?) (<15,0,H>, H) (<15,0,I>, ?) (<15,0,J>, J) (<15,0,K>, J) (<15,0,N>, ?) (<15,0,O>, ?) (<15,0,P>, P) (<15,0,Q>, ?) (<16,0,A>, 1 + A) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,F>, ?) (<16,0,G>, ?) (<16,0,H>, H) (<16,0,I>, ?) (<16,0,J>, J) (<16,0,K>, 2) (<16,0,N>, ?) (<16,0,O>, ?) (<16,0,P>, P) (<16,0,Q>, ?) (<17,0,A>, 1 + A) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,F>, ?) (<17,0,G>, ?) (<17,0,H>, H) (<17,0,I>, ?) (<17,0,J>, J) (<17,0,K>, ?) (<17,0,N>, ?) (<17,0,O>, ?) (<17,0,P>, P) (<17,0,Q>, ?) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<22,0,A>, 1) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,F>, ?) (<22,0,G>, ?) (<22,0,H>, H) (<22,0,I>, H) (<22,0,J>, J) (<22,0,K>, ?) (<22,0,N>, N) (<22,0,O>, O) (<22,0,P>, P) (<22,0,Q>, Q) (<23,0,A>, 1) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, H) (<23,0,I>, H + I) (<23,0,J>, J) (<23,0,K>, ?) (<23,0,N>, N) (<23,0,O>, O) (<23,0,P>, P) (<23,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<26,0,A>, 1 + A) (<26,0,B>, ?) (<26,0,C>, ?) (<26,0,F>, ?) (<26,0,G>, ?) (<26,0,H>, H) (<26,0,I>, 0) (<26,0,J>, J) (<26,0,K>, ?) (<26,0,N>, 1) (<26,0,O>, 0) (<26,0,P>, P) (<26,0,Q>, ?) (<27,0,A>, 1 + A) (<27,0,B>, ?) (<27,0,C>, ?) (<27,0,F>, ?) (<27,0,G>, ?) (<27,0,H>, H) (<27,0,I>, H) (<27,0,J>, J) (<27,0,K>, ?) (<27,0,N>, 1) (<27,0,O>, 0) (<27,0,P>, P) (<27,0,Q>, ?) (<28,0,A>, 1 + A) (<28,0,B>, ?) (<28,0,C>, ?) (<28,0,F>, ?) (<28,0,G>, ?) (<28,0,H>, H) (<28,0,I>, 1) (<28,0,J>, J) (<28,0,K>, ?) (<28,0,N>, 1) (<28,0,O>, 0) (<28,0,P>, P) (<28,0,Q>, ?) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<32,0,A>, 1 + A) (<32,0,B>, ?) (<32,0,C>, ?) (<32,0,F>, ?) (<32,0,G>, ?) (<32,0,H>, H) (<32,0,I>, 0) (<32,0,J>, J) (<32,0,K>, ?) (<32,0,N>, 1) (<32,0,O>, 0) (<32,0,P>, P) (<32,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) + Applied Processor: ChainProcessor False [1,2,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43] + Details: We chained rule 9 to obtain the rules [44,45,46] . * Step 11: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 10. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) [Q >= 2 && J >= K] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 14. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && 0 >= K] (?,1) 15. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K >= 2] (?,1) 16. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K = 1] (?,1) 17. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 26. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I] (1,2) 27. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I] (1,2) 28. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 32. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 44. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 45. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 46. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [1->{2,22},2->{2,22},8->{10,11,12,13,17,44,45,46},10->{14,15,16},11->{10,11,12,13,17,44,45,46},12->{10,11 ,12,13,17,44,45,46},13->{10,11,12,13,17,44,45,46},14->{10,11,12,13,17,44,45,46},15->{10,11,12,13,17,44,45 ,46},16->{10,11,12,13,17,44,45,46},17->{8,18},18->{19,20,21,38,39,40,41,42,43},19->{},20->{},21->{},22->{1 ,23},23->{19,20,21,38,39,40,41,42,43},24->{2,22},25->{19,20,21,38,39,40,41,42,43},26->{8,18},27->{8,18} ,28->{8,18},29->{},30->{},31->{},32->{8,18},33->{8,18},34->{8,18},35->{},36->{},37->{},38->{10,11,12,13,17 ,44,45,46},39->{19,20,21,38,39,40,41,42,43},40->{10,11,12,13,17,44,45,46},41->{19,20,21,38,39,40,41,42,43} ,42->{10,11,12,13,17,44,45,46},43->{19,20,21,38,39,40,41,42,43},44->{10,11,12,13,17,44,45,46},45->{10,11,12 ,13,17,44,45,46},46->{10,11,12,13,17,44,45,46}] Sizebounds: (< 1,0,A>, 1) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, H) (< 1,0,I>, H) (< 1,0,J>, J) (< 1,0,K>, ?) (< 1,0,N>, N) (< 1,0,O>, O) (< 1,0,P>, P) (< 1,0,Q>, Q) (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<10,0,A>, 1 + A) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,F>, ?) (<10,0,G>, ?) (<10,0,H>, H) (<10,0,I>, ?) (<10,0,J>, J) (<10,0,K>, J) (<10,0,N>, ?) (<10,0,O>, ?) (<10,0,P>, P) (<10,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<14,0,A>, 1 + A) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,F>, ?) (<14,0,G>, ?) (<14,0,H>, H) (<14,0,I>, ?) (<14,0,J>, J) (<14,0,K>, 1) (<14,0,N>, ?) (<14,0,O>, ?) (<14,0,P>, P) (<14,0,Q>, ?) (<15,0,A>, 1 + A) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,F>, ?) (<15,0,G>, ?) (<15,0,H>, H) (<15,0,I>, ?) (<15,0,J>, J) (<15,0,K>, J) (<15,0,N>, ?) (<15,0,O>, ?) (<15,0,P>, P) (<15,0,Q>, ?) (<16,0,A>, 1 + A) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,F>, ?) (<16,0,G>, ?) (<16,0,H>, H) (<16,0,I>, ?) (<16,0,J>, J) (<16,0,K>, 2) (<16,0,N>, ?) (<16,0,O>, ?) (<16,0,P>, P) (<16,0,Q>, ?) (<17,0,A>, 1 + A) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,F>, ?) (<17,0,G>, ?) (<17,0,H>, H) (<17,0,I>, ?) (<17,0,J>, J) (<17,0,K>, ?) (<17,0,N>, ?) (<17,0,O>, ?) (<17,0,P>, P) (<17,0,Q>, ?) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<22,0,A>, 1) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,F>, ?) (<22,0,G>, ?) (<22,0,H>, H) (<22,0,I>, H) (<22,0,J>, J) (<22,0,K>, ?) (<22,0,N>, N) (<22,0,O>, O) (<22,0,P>, P) (<22,0,Q>, Q) (<23,0,A>, 1) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, H) (<23,0,I>, H + I) (<23,0,J>, J) (<23,0,K>, ?) (<23,0,N>, N) (<23,0,O>, O) (<23,0,P>, P) (<23,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<26,0,A>, 1 + A) (<26,0,B>, ?) (<26,0,C>, ?) (<26,0,F>, ?) (<26,0,G>, ?) (<26,0,H>, H) (<26,0,I>, 0) (<26,0,J>, J) (<26,0,K>, ?) (<26,0,N>, 1) (<26,0,O>, 0) (<26,0,P>, P) (<26,0,Q>, ?) (<27,0,A>, 1 + A) (<27,0,B>, ?) (<27,0,C>, ?) (<27,0,F>, ?) (<27,0,G>, ?) (<27,0,H>, H) (<27,0,I>, H) (<27,0,J>, J) (<27,0,K>, ?) (<27,0,N>, 1) (<27,0,O>, 0) (<27,0,P>, P) (<27,0,Q>, ?) (<28,0,A>, 1 + A) (<28,0,B>, ?) (<28,0,C>, ?) (<28,0,F>, ?) (<28,0,G>, ?) (<28,0,H>, H) (<28,0,I>, 1) (<28,0,J>, J) (<28,0,K>, ?) (<28,0,N>, 1) (<28,0,O>, 0) (<28,0,P>, P) (<28,0,Q>, ?) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<32,0,A>, 1 + A) (<32,0,B>, ?) (<32,0,C>, ?) (<32,0,F>, ?) (<32,0,G>, ?) (<32,0,H>, H) (<32,0,I>, 0) (<32,0,J>, J) (<32,0,K>, ?) (<32,0,N>, 1) (<32,0,O>, 0) (<32,0,P>, P) (<32,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<44,0,A>, 1 + A) (<44,0,B>, ?) (<44,0,C>, ?) (<44,0,F>, ?) (<44,0,G>, ?) (<44,0,H>, H) (<44,0,I>, ?) (<44,0,J>, J) (<44,0,K>, 1) (<44,0,N>, ?) (<44,0,O>, ?) (<44,0,P>, P) (<44,0,Q>, ?) (<45,0,A>, 1 + A) (<45,0,B>, ?) (<45,0,C>, ?) (<45,0,F>, ?) (<45,0,G>, ?) (<45,0,H>, H) (<45,0,I>, ?) (<45,0,J>, J) (<45,0,K>, J) (<45,0,N>, ?) (<45,0,O>, ?) (<45,0,P>, P) (<45,0,Q>, ?) (<46,0,A>, 1 + A) (<46,0,B>, ?) (<46,0,C>, ?) (<46,0,F>, ?) (<46,0,G>, ?) (<46,0,H>, H) (<46,0,I>, ?) (<46,0,J>, J) (<46,0,K>, 2) (<46,0,N>, ?) (<46,0,O>, ?) (<46,0,P>, P) (<46,0,Q>, ?) + Applied Processor: ChainProcessor False [1,2,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46] + Details: We chained rule 10 to obtain the rules [47,48,49] . * Step 12: UnreachableRules WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 14. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && 0 >= K] (?,1) 15. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K >= 2] (?,1) 16. f53(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2*F1 && 3*F1 >= 1 + Q && K = 1] (?,1) 17. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 26. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I] (1,2) 27. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I] (1,2) 28. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 32. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 44. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 45. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 46. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [1->{2,22},2->{2,22},8->{11,12,13,17,44,45,46,47,48,49},11->{11,12,13,17,44,45,46,47,48,49},12->{11,12,13 ,17,44,45,46,47,48,49},13->{11,12,13,17,44,45,46,47,48,49},14->{11,12,13,17,44,45,46,47,48,49},15->{11,12,13 ,17,44,45,46,47,48,49},16->{11,12,13,17,44,45,46,47,48,49},17->{8,18},18->{19,20,21,38,39,40,41,42,43} ,19->{},20->{},21->{},22->{1,23},23->{19,20,21,38,39,40,41,42,43},24->{2,22},25->{19,20,21,38,39,40,41,42 ,43},26->{8,18},27->{8,18},28->{8,18},29->{},30->{},31->{},32->{8,18},33->{8,18},34->{8,18},35->{},36->{} ,37->{},38->{11,12,13,17,44,45,46,47,48,49},39->{19,20,21,38,39,40,41,42,43},40->{11,12,13,17,44,45,46,47,48 ,49},41->{19,20,21,38,39,40,41,42,43},42->{11,12,13,17,44,45,46,47,48,49},43->{19,20,21,38,39,40,41,42,43} ,44->{11,12,13,17,44,45,46,47,48,49},45->{11,12,13,17,44,45,46,47,48,49},46->{11,12,13,17,44,45,46,47,48,49} ,47->{11,12,13,17,44,45,46,47,48,49},48->{11,12,13,17,44,45,46,47,48,49},49->{11,12,13,17,44,45,46,47,48 ,49}] Sizebounds: (< 1,0,A>, 1) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, H) (< 1,0,I>, H) (< 1,0,J>, J) (< 1,0,K>, ?) (< 1,0,N>, N) (< 1,0,O>, O) (< 1,0,P>, P) (< 1,0,Q>, Q) (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<14,0,A>, 1 + A) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,F>, ?) (<14,0,G>, ?) (<14,0,H>, H) (<14,0,I>, ?) (<14,0,J>, J) (<14,0,K>, 1) (<14,0,N>, ?) (<14,0,O>, ?) (<14,0,P>, P) (<14,0,Q>, ?) (<15,0,A>, 1 + A) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,F>, ?) (<15,0,G>, ?) (<15,0,H>, H) (<15,0,I>, ?) (<15,0,J>, J) (<15,0,K>, J) (<15,0,N>, ?) (<15,0,O>, ?) (<15,0,P>, P) (<15,0,Q>, ?) (<16,0,A>, 1 + A) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,F>, ?) (<16,0,G>, ?) (<16,0,H>, H) (<16,0,I>, ?) (<16,0,J>, J) (<16,0,K>, 2) (<16,0,N>, ?) (<16,0,O>, ?) (<16,0,P>, P) (<16,0,Q>, ?) (<17,0,A>, 1 + A) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,F>, ?) (<17,0,G>, ?) (<17,0,H>, H) (<17,0,I>, ?) (<17,0,J>, J) (<17,0,K>, ?) (<17,0,N>, ?) (<17,0,O>, ?) (<17,0,P>, P) (<17,0,Q>, ?) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<22,0,A>, 1) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,F>, ?) (<22,0,G>, ?) (<22,0,H>, H) (<22,0,I>, H) (<22,0,J>, J) (<22,0,K>, ?) (<22,0,N>, N) (<22,0,O>, O) (<22,0,P>, P) (<22,0,Q>, Q) (<23,0,A>, 1) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, H) (<23,0,I>, H + I) (<23,0,J>, J) (<23,0,K>, ?) (<23,0,N>, N) (<23,0,O>, O) (<23,0,P>, P) (<23,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<26,0,A>, 1 + A) (<26,0,B>, ?) (<26,0,C>, ?) (<26,0,F>, ?) (<26,0,G>, ?) (<26,0,H>, H) (<26,0,I>, 0) (<26,0,J>, J) (<26,0,K>, ?) (<26,0,N>, 1) (<26,0,O>, 0) (<26,0,P>, P) (<26,0,Q>, ?) (<27,0,A>, 1 + A) (<27,0,B>, ?) (<27,0,C>, ?) (<27,0,F>, ?) (<27,0,G>, ?) (<27,0,H>, H) (<27,0,I>, H) (<27,0,J>, J) (<27,0,K>, ?) (<27,0,N>, 1) (<27,0,O>, 0) (<27,0,P>, P) (<27,0,Q>, ?) (<28,0,A>, 1 + A) (<28,0,B>, ?) (<28,0,C>, ?) (<28,0,F>, ?) (<28,0,G>, ?) (<28,0,H>, H) (<28,0,I>, 1) (<28,0,J>, J) (<28,0,K>, ?) (<28,0,N>, 1) (<28,0,O>, 0) (<28,0,P>, P) (<28,0,Q>, ?) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<32,0,A>, 1 + A) (<32,0,B>, ?) (<32,0,C>, ?) (<32,0,F>, ?) (<32,0,G>, ?) (<32,0,H>, H) (<32,0,I>, 0) (<32,0,J>, J) (<32,0,K>, ?) (<32,0,N>, 1) (<32,0,O>, 0) (<32,0,P>, P) (<32,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<44,0,A>, 1 + A) (<44,0,B>, ?) (<44,0,C>, ?) (<44,0,F>, ?) (<44,0,G>, ?) (<44,0,H>, H) (<44,0,I>, ?) (<44,0,J>, J) (<44,0,K>, 1) (<44,0,N>, ?) (<44,0,O>, ?) (<44,0,P>, P) (<44,0,Q>, ?) (<45,0,A>, 1 + A) (<45,0,B>, ?) (<45,0,C>, ?) (<45,0,F>, ?) (<45,0,G>, ?) (<45,0,H>, H) (<45,0,I>, ?) (<45,0,J>, J) (<45,0,K>, J) (<45,0,N>, ?) (<45,0,O>, ?) (<45,0,P>, P) (<45,0,Q>, ?) (<46,0,A>, 1 + A) (<46,0,B>, ?) (<46,0,C>, ?) (<46,0,F>, ?) (<46,0,G>, ?) (<46,0,H>, H) (<46,0,I>, ?) (<46,0,J>, J) (<46,0,K>, 2) (<46,0,N>, ?) (<46,0,O>, ?) (<46,0,P>, P) (<46,0,Q>, ?) (<47,0,A>, 1 + A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, ?) (<47,0,J>, J) (<47,0,K>, 1) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, 1 + A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, ?) (<48,0,J>, J) (<48,0,K>, J) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) + Applied Processor: UnreachableRules + Details: The following transitions are not reachable from the starting states and are removed: [14,15,16] * Step 13: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 17. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 26. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I] (1,2) 27. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I] (1,2) 28. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 32. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 44. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 45. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 46. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [1->{2,22},2->{2,22},8->{11,12,13,17,44,45,46,47,48,49},11->{11,12,13,17,44,45,46,47,48,49},12->{11,12,13 ,17,44,45,46,47,48,49},13->{11,12,13,17,44,45,46,47,48,49},17->{8,18},18->{19,20,21,38,39,40,41,42,43} ,19->{},20->{},21->{},22->{1,23},23->{19,20,21,38,39,40,41,42,43},24->{2,22},25->{19,20,21,38,39,40,41,42 ,43},26->{8,18},27->{8,18},28->{8,18},29->{},30->{},31->{},32->{8,18},33->{8,18},34->{8,18},35->{},36->{} ,37->{},38->{11,12,13,17,44,45,46,47,48,49},39->{19,20,21,38,39,40,41,42,43},40->{11,12,13,17,44,45,46,47,48 ,49},41->{19,20,21,38,39,40,41,42,43},42->{11,12,13,17,44,45,46,47,48,49},43->{19,20,21,38,39,40,41,42,43} ,44->{11,12,13,17,44,45,46,47,48,49},45->{11,12,13,17,44,45,46,47,48,49},46->{11,12,13,17,44,45,46,47,48,49} ,47->{11,12,13,17,44,45,46,47,48,49},48->{11,12,13,17,44,45,46,47,48,49},49->{11,12,13,17,44,45,46,47,48 ,49}] Sizebounds: (< 1,0,A>, 1) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, H) (< 1,0,I>, H) (< 1,0,J>, J) (< 1,0,K>, ?) (< 1,0,N>, N) (< 1,0,O>, O) (< 1,0,P>, P) (< 1,0,Q>, Q) (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<17,0,A>, 1 + A) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,F>, ?) (<17,0,G>, ?) (<17,0,H>, H) (<17,0,I>, ?) (<17,0,J>, J) (<17,0,K>, ?) (<17,0,N>, ?) (<17,0,O>, ?) (<17,0,P>, P) (<17,0,Q>, ?) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<22,0,A>, 1) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,F>, ?) (<22,0,G>, ?) (<22,0,H>, H) (<22,0,I>, H) (<22,0,J>, J) (<22,0,K>, ?) (<22,0,N>, N) (<22,0,O>, O) (<22,0,P>, P) (<22,0,Q>, Q) (<23,0,A>, 1) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, H) (<23,0,I>, H + I) (<23,0,J>, J) (<23,0,K>, ?) (<23,0,N>, N) (<23,0,O>, O) (<23,0,P>, P) (<23,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<26,0,A>, 1 + A) (<26,0,B>, ?) (<26,0,C>, ?) (<26,0,F>, ?) (<26,0,G>, ?) (<26,0,H>, H) (<26,0,I>, 0) (<26,0,J>, J) (<26,0,K>, ?) (<26,0,N>, 1) (<26,0,O>, 0) (<26,0,P>, P) (<26,0,Q>, ?) (<27,0,A>, 1 + A) (<27,0,B>, ?) (<27,0,C>, ?) (<27,0,F>, ?) (<27,0,G>, ?) (<27,0,H>, H) (<27,0,I>, H) (<27,0,J>, J) (<27,0,K>, ?) (<27,0,N>, 1) (<27,0,O>, 0) (<27,0,P>, P) (<27,0,Q>, ?) (<28,0,A>, 1 + A) (<28,0,B>, ?) (<28,0,C>, ?) (<28,0,F>, ?) (<28,0,G>, ?) (<28,0,H>, H) (<28,0,I>, 1) (<28,0,J>, J) (<28,0,K>, ?) (<28,0,N>, 1) (<28,0,O>, 0) (<28,0,P>, P) (<28,0,Q>, ?) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<32,0,A>, 1 + A) (<32,0,B>, ?) (<32,0,C>, ?) (<32,0,F>, ?) (<32,0,G>, ?) (<32,0,H>, H) (<32,0,I>, 0) (<32,0,J>, J) (<32,0,K>, ?) (<32,0,N>, 1) (<32,0,O>, 0) (<32,0,P>, P) (<32,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<44,0,A>, 1 + A) (<44,0,B>, ?) (<44,0,C>, ?) (<44,0,F>, ?) (<44,0,G>, ?) (<44,0,H>, H) (<44,0,I>, ?) (<44,0,J>, J) (<44,0,K>, 1) (<44,0,N>, ?) (<44,0,O>, ?) (<44,0,P>, P) (<44,0,Q>, ?) (<45,0,A>, 1 + A) (<45,0,B>, ?) (<45,0,C>, ?) (<45,0,F>, ?) (<45,0,G>, ?) (<45,0,H>, H) (<45,0,I>, ?) (<45,0,J>, J) (<45,0,K>, J) (<45,0,N>, ?) (<45,0,O>, ?) (<45,0,P>, P) (<45,0,Q>, ?) (<46,0,A>, 1 + A) (<46,0,B>, ?) (<46,0,C>, ?) (<46,0,F>, ?) (<46,0,G>, ?) (<46,0,H>, H) (<46,0,I>, ?) (<46,0,J>, J) (<46,0,K>, 2) (<46,0,N>, ?) (<46,0,O>, ?) (<46,0,P>, P) (<46,0,Q>, ?) (<47,0,A>, 1 + A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, ?) (<47,0,J>, J) (<47,0,K>, 1) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, 1 + A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, ?) (<48,0,J>, J) (<48,0,K>, J) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) + Applied Processor: ChainProcessor False [1,2,8,11,12,13,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49] + Details: We chained rule 17 to obtain the rules [50,51] . * Step 14: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 22. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f13(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 26. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I] (1,2) 27. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I] (1,2) 28. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 32. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 44. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 45. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 46. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [1->{2,22},2->{2,22},8->{11,12,13,44,45,46,47,48,49,50,51},11->{11,12,13,44,45,46,47,48,49,50,51},12->{11 ,12,13,44,45,46,47,48,49,50,51},13->{11,12,13,44,45,46,47,48,49,50,51},18->{19,20,21,38,39,40,41,42,43} ,19->{},20->{},21->{},22->{1,23},23->{19,20,21,38,39,40,41,42,43},24->{2,22},25->{19,20,21,38,39,40,41,42 ,43},26->{8,18},27->{8,18},28->{8,18},29->{},30->{},31->{},32->{8,18},33->{8,18},34->{8,18},35->{},36->{} ,37->{},38->{11,12,13,44,45,46,47,48,49,50,51},39->{19,20,21,38,39,40,41,42,43},40->{11,12,13,44,45,46,47,48 ,49,50,51},41->{19,20,21,38,39,40,41,42,43},42->{11,12,13,44,45,46,47,48,49,50,51},43->{19,20,21,38,39,40,41 ,42,43},44->{11,12,13,44,45,46,47,48,49,50,51},45->{11,12,13,44,45,46,47,48,49,50,51},46->{11,12,13,44,45,46 ,47,48,49,50,51},47->{11,12,13,44,45,46,47,48,49,50,51},48->{11,12,13,44,45,46,47,48,49,50,51},49->{11,12,13 ,44,45,46,47,48,49,50,51},50->{11,12,13,44,45,46,47,48,49,50,51},51->{19,20,21,38,39,40,41,42,43}] Sizebounds: (< 1,0,A>, 1) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, H) (< 1,0,I>, H) (< 1,0,J>, J) (< 1,0,K>, ?) (< 1,0,N>, N) (< 1,0,O>, O) (< 1,0,P>, P) (< 1,0,Q>, Q) (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<22,0,A>, 1) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,F>, ?) (<22,0,G>, ?) (<22,0,H>, H) (<22,0,I>, H) (<22,0,J>, J) (<22,0,K>, ?) (<22,0,N>, N) (<22,0,O>, O) (<22,0,P>, P) (<22,0,Q>, Q) (<23,0,A>, 1) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, H) (<23,0,I>, H + I) (<23,0,J>, J) (<23,0,K>, ?) (<23,0,N>, N) (<23,0,O>, O) (<23,0,P>, P) (<23,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<26,0,A>, 1 + A) (<26,0,B>, ?) (<26,0,C>, ?) (<26,0,F>, ?) (<26,0,G>, ?) (<26,0,H>, H) (<26,0,I>, 0) (<26,0,J>, J) (<26,0,K>, ?) (<26,0,N>, 1) (<26,0,O>, 0) (<26,0,P>, P) (<26,0,Q>, ?) (<27,0,A>, 1 + A) (<27,0,B>, ?) (<27,0,C>, ?) (<27,0,F>, ?) (<27,0,G>, ?) (<27,0,H>, H) (<27,0,I>, H) (<27,0,J>, J) (<27,0,K>, ?) (<27,0,N>, 1) (<27,0,O>, 0) (<27,0,P>, P) (<27,0,Q>, ?) (<28,0,A>, 1 + A) (<28,0,B>, ?) (<28,0,C>, ?) (<28,0,F>, ?) (<28,0,G>, ?) (<28,0,H>, H) (<28,0,I>, 1) (<28,0,J>, J) (<28,0,K>, ?) (<28,0,N>, 1) (<28,0,O>, 0) (<28,0,P>, P) (<28,0,Q>, ?) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<32,0,A>, 1 + A) (<32,0,B>, ?) (<32,0,C>, ?) (<32,0,F>, ?) (<32,0,G>, ?) (<32,0,H>, H) (<32,0,I>, 0) (<32,0,J>, J) (<32,0,K>, ?) (<32,0,N>, 1) (<32,0,O>, 0) (<32,0,P>, P) (<32,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<44,0,A>, 1 + A) (<44,0,B>, ?) (<44,0,C>, ?) (<44,0,F>, ?) (<44,0,G>, ?) (<44,0,H>, H) (<44,0,I>, ?) (<44,0,J>, J) (<44,0,K>, 1) (<44,0,N>, ?) (<44,0,O>, ?) (<44,0,P>, P) (<44,0,Q>, ?) (<45,0,A>, 1 + A) (<45,0,B>, ?) (<45,0,C>, ?) (<45,0,F>, ?) (<45,0,G>, ?) (<45,0,H>, H) (<45,0,I>, ?) (<45,0,J>, J) (<45,0,K>, J) (<45,0,N>, ?) (<45,0,O>, ?) (<45,0,P>, P) (<45,0,Q>, ?) (<46,0,A>, 1 + A) (<46,0,B>, ?) (<46,0,C>, ?) (<46,0,F>, ?) (<46,0,G>, ?) (<46,0,H>, H) (<46,0,I>, ?) (<46,0,J>, J) (<46,0,K>, 2) (<46,0,N>, ?) (<46,0,O>, ?) (<46,0,P>, P) (<46,0,Q>, ?) (<47,0,A>, 1 + A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, ?) (<47,0,J>, J) (<47,0,K>, 1) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, 1 + A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, ?) (<48,0,J>, J) (<48,0,K>, J) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) + Applied Processor: ChainProcessor False [1,2,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,41,43,51] + Details: We chained rule 22 to obtain the rules [52,53] . * Step 15: UnreachableRules WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 1. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) [H >= I] (?,1) 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 23. f13(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 26. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I] (1,2) 27. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I] (1,2) 28. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 32. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 44. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 45. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 46. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 53. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && 1 + I >= 1 + H] (?,2) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [1->{2,52,53},2->{2,52,53},8->{11,12,13,44,45,46,47,48,49,50,51},11->{11,12,13,44,45,46,47,48,49,50,51} ,12->{11,12,13,44,45,46,47,48,49,50,51},13->{11,12,13,44,45,46,47,48,49,50,51},18->{19,20,21,38,39,40,41,42 ,43},19->{},20->{},21->{},23->{19,20,21,38,39,40,41,42,43},24->{2,52,53},25->{19,20,21,38,39,40,41,42,43} ,26->{8,18},27->{8,18},28->{8,18},29->{},30->{},31->{},32->{8,18},33->{8,18},34->{8,18},35->{},36->{},37->{} ,38->{11,12,13,44,45,46,47,48,49,50,51},39->{19,20,21,38,39,40,41,42,43},40->{11,12,13,44,45,46,47,48,49,50 ,51},41->{19,20,21,38,39,40,41,42,43},42->{11,12,13,44,45,46,47,48,49,50,51},43->{19,20,21,38,39,40,41,42 ,43},44->{11,12,13,44,45,46,47,48,49,50,51},45->{11,12,13,44,45,46,47,48,49,50,51},46->{11,12,13,44,45,46,47 ,48,49,50,51},47->{11,12,13,44,45,46,47,48,49,50,51},48->{11,12,13,44,45,46,47,48,49,50,51},49->{11,12,13,44 ,45,46,47,48,49,50,51},50->{11,12,13,44,45,46,47,48,49,50,51},51->{19,20,21,38,39,40,41,42,43},52->{2,52,53} ,53->{19,20,21,38,39,40,41,42,43}] Sizebounds: (< 1,0,A>, 1) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,F>, ?) (< 1,0,G>, ?) (< 1,0,H>, H) (< 1,0,I>, H) (< 1,0,J>, J) (< 1,0,K>, ?) (< 1,0,N>, N) (< 1,0,O>, O) (< 1,0,P>, P) (< 1,0,Q>, Q) (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<23,0,A>, 1) (<23,0,B>, ?) (<23,0,C>, ?) (<23,0,F>, ?) (<23,0,G>, ?) (<23,0,H>, H) (<23,0,I>, H + I) (<23,0,J>, J) (<23,0,K>, ?) (<23,0,N>, N) (<23,0,O>, O) (<23,0,P>, P) (<23,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<26,0,A>, 1 + A) (<26,0,B>, ?) (<26,0,C>, ?) (<26,0,F>, ?) (<26,0,G>, ?) (<26,0,H>, H) (<26,0,I>, 0) (<26,0,J>, J) (<26,0,K>, ?) (<26,0,N>, 1) (<26,0,O>, 0) (<26,0,P>, P) (<26,0,Q>, ?) (<27,0,A>, 1 + A) (<27,0,B>, ?) (<27,0,C>, ?) (<27,0,F>, ?) (<27,0,G>, ?) (<27,0,H>, H) (<27,0,I>, H) (<27,0,J>, J) (<27,0,K>, ?) (<27,0,N>, 1) (<27,0,O>, 0) (<27,0,P>, P) (<27,0,Q>, ?) (<28,0,A>, 1 + A) (<28,0,B>, ?) (<28,0,C>, ?) (<28,0,F>, ?) (<28,0,G>, ?) (<28,0,H>, H) (<28,0,I>, 1) (<28,0,J>, J) (<28,0,K>, ?) (<28,0,N>, 1) (<28,0,O>, 0) (<28,0,P>, P) (<28,0,Q>, ?) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<32,0,A>, 1 + A) (<32,0,B>, ?) (<32,0,C>, ?) (<32,0,F>, ?) (<32,0,G>, ?) (<32,0,H>, H) (<32,0,I>, 0) (<32,0,J>, J) (<32,0,K>, ?) (<32,0,N>, 1) (<32,0,O>, 0) (<32,0,P>, P) (<32,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<44,0,A>, 1 + A) (<44,0,B>, ?) (<44,0,C>, ?) (<44,0,F>, ?) (<44,0,G>, ?) (<44,0,H>, H) (<44,0,I>, ?) (<44,0,J>, J) (<44,0,K>, 1) (<44,0,N>, ?) (<44,0,O>, ?) (<44,0,P>, P) (<44,0,Q>, ?) (<45,0,A>, 1 + A) (<45,0,B>, ?) (<45,0,C>, ?) (<45,0,F>, ?) (<45,0,G>, ?) (<45,0,H>, H) (<45,0,I>, ?) (<45,0,J>, J) (<45,0,K>, J) (<45,0,N>, ?) (<45,0,O>, ?) (<45,0,P>, P) (<45,0,Q>, ?) (<46,0,A>, 1 + A) (<46,0,B>, ?) (<46,0,C>, ?) (<46,0,F>, ?) (<46,0,G>, ?) (<46,0,H>, H) (<46,0,I>, ?) (<46,0,J>, J) (<46,0,K>, 2) (<46,0,N>, ?) (<46,0,O>, ?) (<46,0,P>, P) (<46,0,Q>, ?) (<47,0,A>, 1 + A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, ?) (<47,0,J>, J) (<47,0,K>, 1) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, 1 + A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, ?) (<48,0,J>, J) (<48,0,K>, J) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, ?) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<53,0,A>, 1) (<53,0,B>, ?) (<53,0,C>, ?) (<53,0,F>, ?) (<53,0,G>, ?) (<53,0,H>, H) (<53,0,I>, H + I) (<53,0,J>, J) (<53,0,K>, ?) (<53,0,N>, N) (<53,0,O>, O) (<53,0,P>, P) (<53,0,Q>, Q) + Applied Processor: UnreachableRules + Details: The following transitions are not reachable from the starting states and are removed: [1,23] * Step 16: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 26. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I] (1,2) 27. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I] (1,2) 28. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 32. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 44. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 45. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 46. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 53. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && 1 + I >= 1 + H] (?,2) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52,53},8->{11,12,13,44,45,46,47,48,49,50,51},11->{11,12,13,44,45,46,47,48,49,50,51},12->{11,12,13 ,44,45,46,47,48,49,50,51},13->{11,12,13,44,45,46,47,48,49,50,51},18->{19,20,21,38,39,40,41,42,43},19->{} ,20->{},21->{},24->{2,52,53},25->{19,20,21,38,39,40,41,42,43},26->{8,18},27->{8,18},28->{8,18},29->{},30->{} ,31->{},32->{8,18},33->{8,18},34->{8,18},35->{},36->{},37->{},38->{11,12,13,44,45,46,47,48,49,50,51},39->{19 ,20,21,38,39,40,41,42,43},40->{11,12,13,44,45,46,47,48,49,50,51},41->{19,20,21,38,39,40,41,42,43},42->{11,12 ,13,44,45,46,47,48,49,50,51},43->{19,20,21,38,39,40,41,42,43},44->{11,12,13,44,45,46,47,48,49,50,51},45->{11 ,12,13,44,45,46,47,48,49,50,51},46->{11,12,13,44,45,46,47,48,49,50,51},47->{11,12,13,44,45,46,47,48,49,50 ,51},48->{11,12,13,44,45,46,47,48,49,50,51},49->{11,12,13,44,45,46,47,48,49,50,51},50->{11,12,13,44,45,46,47 ,48,49,50,51},51->{19,20,21,38,39,40,41,42,43},52->{2,52,53},53->{19,20,21,38,39,40,41,42,43}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<26,0,A>, 1 + A) (<26,0,B>, ?) (<26,0,C>, ?) (<26,0,F>, ?) (<26,0,G>, ?) (<26,0,H>, H) (<26,0,I>, 0) (<26,0,J>, J) (<26,0,K>, ?) (<26,0,N>, 1) (<26,0,O>, 0) (<26,0,P>, P) (<26,0,Q>, ?) (<27,0,A>, 1 + A) (<27,0,B>, ?) (<27,0,C>, ?) (<27,0,F>, ?) (<27,0,G>, ?) (<27,0,H>, H) (<27,0,I>, H) (<27,0,J>, J) (<27,0,K>, ?) (<27,0,N>, 1) (<27,0,O>, 0) (<27,0,P>, P) (<27,0,Q>, ?) (<28,0,A>, 1 + A) (<28,0,B>, ?) (<28,0,C>, ?) (<28,0,F>, ?) (<28,0,G>, ?) (<28,0,H>, H) (<28,0,I>, 1) (<28,0,J>, J) (<28,0,K>, ?) (<28,0,N>, 1) (<28,0,O>, 0) (<28,0,P>, P) (<28,0,Q>, ?) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<32,0,A>, 1 + A) (<32,0,B>, ?) (<32,0,C>, ?) (<32,0,F>, ?) (<32,0,G>, ?) (<32,0,H>, H) (<32,0,I>, 0) (<32,0,J>, J) (<32,0,K>, ?) (<32,0,N>, 1) (<32,0,O>, 0) (<32,0,P>, P) (<32,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<44,0,A>, 1 + A) (<44,0,B>, ?) (<44,0,C>, ?) (<44,0,F>, ?) (<44,0,G>, ?) (<44,0,H>, H) (<44,0,I>, ?) (<44,0,J>, J) (<44,0,K>, 1) (<44,0,N>, ?) (<44,0,O>, ?) (<44,0,P>, P) (<44,0,Q>, ?) (<45,0,A>, 1 + A) (<45,0,B>, ?) (<45,0,C>, ?) (<45,0,F>, ?) (<45,0,G>, ?) (<45,0,H>, H) (<45,0,I>, ?) (<45,0,J>, J) (<45,0,K>, J) (<45,0,N>, ?) (<45,0,O>, ?) (<45,0,P>, P) (<45,0,Q>, ?) (<46,0,A>, 1 + A) (<46,0,B>, ?) (<46,0,C>, ?) (<46,0,F>, ?) (<46,0,G>, ?) (<46,0,H>, H) (<46,0,I>, ?) (<46,0,J>, J) (<46,0,K>, 2) (<46,0,N>, ?) (<46,0,O>, ?) (<46,0,P>, P) (<46,0,Q>, ?) (<47,0,A>, 1 + A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, ?) (<47,0,J>, J) (<47,0,K>, 1) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, 1 + A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, ?) (<48,0,J>, J) (<48,0,K>, J) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, ?) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<53,0,A>, 1) (<53,0,B>, ?) (<53,0,C>, ?) (<53,0,F>, ?) (<53,0,G>, ?) (<53,0,H>, H) (<53,0,I>, H + I) (<53,0,J>, J) (<53,0,K>, ?) (<53,0,N>, N) (<53,0,O>, O) (<53,0,P>, P) (<53,0,Q>, Q) + Applied Processor: ChainProcessor False [2,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,41,43,51,52,53] + Details: We chained rule 26 to obtain the rules [54,55] . * Step 17: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 27. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I] (1,2) 28. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 32. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 44. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 45. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 46. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 53. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && 1 + I >= 1 + H] (?,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52,53},8->{11,12,13,44,45,46,47,48,49,50,51},11->{11,12,13,44,45,46,47,48,49,50,51},12->{11,12,13 ,44,45,46,47,48,49,50,51},13->{11,12,13,44,45,46,47,48,49,50,51},18->{19,20,21,38,39,40,41,42,43},19->{} ,20->{},21->{},24->{2,52,53},25->{19,20,21,38,39,40,41,42,43},27->{8,18},28->{8,18},29->{},30->{},31->{} ,32->{8,18},33->{8,18},34->{8,18},35->{},36->{},37->{},38->{11,12,13,44,45,46,47,48,49,50,51},39->{19,20,21 ,38,39,40,41,42,43},40->{11,12,13,44,45,46,47,48,49,50,51},41->{19,20,21,38,39,40,41,42,43},42->{11,12,13,44 ,45,46,47,48,49,50,51},43->{19,20,21,38,39,40,41,42,43},44->{11,12,13,44,45,46,47,48,49,50,51},45->{11,12,13 ,44,45,46,47,48,49,50,51},46->{11,12,13,44,45,46,47,48,49,50,51},47->{11,12,13,44,45,46,47,48,49,50,51} ,48->{11,12,13,44,45,46,47,48,49,50,51},49->{11,12,13,44,45,46,47,48,49,50,51},50->{11,12,13,44,45,46,47,48 ,49,50,51},51->{19,20,21,38,39,40,41,42,43},52->{2,52,53},53->{19,20,21,38,39,40,41,42,43},54->{11,12,13,44 ,45,46,47,48,49,50,51},55->{19,20,21,38,39,40,41,42,43}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<27,0,A>, 1 + A) (<27,0,B>, ?) (<27,0,C>, ?) (<27,0,F>, ?) (<27,0,G>, ?) (<27,0,H>, H) (<27,0,I>, H) (<27,0,J>, J) (<27,0,K>, ?) (<27,0,N>, 1) (<27,0,O>, 0) (<27,0,P>, P) (<27,0,Q>, ?) (<28,0,A>, 1 + A) (<28,0,B>, ?) (<28,0,C>, ?) (<28,0,F>, ?) (<28,0,G>, ?) (<28,0,H>, H) (<28,0,I>, 1) (<28,0,J>, J) (<28,0,K>, ?) (<28,0,N>, 1) (<28,0,O>, 0) (<28,0,P>, P) (<28,0,Q>, ?) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<32,0,A>, 1 + A) (<32,0,B>, ?) (<32,0,C>, ?) (<32,0,F>, ?) (<32,0,G>, ?) (<32,0,H>, H) (<32,0,I>, 0) (<32,0,J>, J) (<32,0,K>, ?) (<32,0,N>, 1) (<32,0,O>, 0) (<32,0,P>, P) (<32,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<44,0,A>, 1 + A) (<44,0,B>, ?) (<44,0,C>, ?) (<44,0,F>, ?) (<44,0,G>, ?) (<44,0,H>, H) (<44,0,I>, ?) (<44,0,J>, J) (<44,0,K>, 1) (<44,0,N>, ?) (<44,0,O>, ?) (<44,0,P>, P) (<44,0,Q>, ?) (<45,0,A>, 1 + A) (<45,0,B>, ?) (<45,0,C>, ?) (<45,0,F>, ?) (<45,0,G>, ?) (<45,0,H>, H) (<45,0,I>, ?) (<45,0,J>, J) (<45,0,K>, J) (<45,0,N>, ?) (<45,0,O>, ?) (<45,0,P>, P) (<45,0,Q>, ?) (<46,0,A>, 1 + A) (<46,0,B>, ?) (<46,0,C>, ?) (<46,0,F>, ?) (<46,0,G>, ?) (<46,0,H>, H) (<46,0,I>, ?) (<46,0,J>, J) (<46,0,K>, 2) (<46,0,N>, ?) (<46,0,O>, ?) (<46,0,P>, P) (<46,0,Q>, ?) (<47,0,A>, 1 + A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, ?) (<47,0,J>, J) (<47,0,K>, 1) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, 1 + A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, ?) (<48,0,J>, J) (<48,0,K>, J) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, ?) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<53,0,A>, 1) (<53,0,B>, ?) (<53,0,C>, ?) (<53,0,F>, ?) (<53,0,G>, ?) (<53,0,H>, H) (<53,0,I>, H + I) (<53,0,J>, J) (<53,0,K>, ?) (<53,0,N>, N) (<53,0,O>, O) (<53,0,P>, P) (<53,0,Q>, Q) (<54,0,A>, 1 + A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, ?) (<54,0,J>, J) (<54,0,K>, ?) (<54,0,N>, ?) (<54,0,O>, ?) (<54,0,P>, P) (<54,0,Q>, ?) (<55,0,A>, 1 + A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, ?) (<55,0,J>, J) (<55,0,K>, ?) (<55,0,N>, ?) (<55,0,O>, ?) (<55,0,P>, P) (<55,0,Q>, ?) + Applied Processor: ChainProcessor False [2,18,19,20,21,24,25,27,28,29,30,31,32,33,34,35,36,37,39,41,43,51,52,53,55] + Details: We chained rule 27 to obtain the rules [56,57] . * Step 18: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 28. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 32. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 44. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 45. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 46. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 53. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && 1 + I >= 1 + H] (?,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52,53},8->{11,12,13,44,45,46,47,48,49,50,51},11->{11,12,13,44,45,46,47,48,49,50,51},12->{11,12,13 ,44,45,46,47,48,49,50,51},13->{11,12,13,44,45,46,47,48,49,50,51},18->{19,20,21,38,39,40,41,42,43},19->{} ,20->{},21->{},24->{2,52,53},25->{19,20,21,38,39,40,41,42,43},28->{8,18},29->{},30->{},31->{},32->{8,18} ,33->{8,18},34->{8,18},35->{},36->{},37->{},38->{11,12,13,44,45,46,47,48,49,50,51},39->{19,20,21,38,39,40,41 ,42,43},40->{11,12,13,44,45,46,47,48,49,50,51},41->{19,20,21,38,39,40,41,42,43},42->{11,12,13,44,45,46,47,48 ,49,50,51},43->{19,20,21,38,39,40,41,42,43},44->{11,12,13,44,45,46,47,48,49,50,51},45->{11,12,13,44,45,46,47 ,48,49,50,51},46->{11,12,13,44,45,46,47,48,49,50,51},47->{11,12,13,44,45,46,47,48,49,50,51},48->{11,12,13,44 ,45,46,47,48,49,50,51},49->{11,12,13,44,45,46,47,48,49,50,51},50->{11,12,13,44,45,46,47,48,49,50,51},51->{19 ,20,21,38,39,40,41,42,43},52->{2,52,53},53->{19,20,21,38,39,40,41,42,43},54->{11,12,13,44,45,46,47,48,49,50 ,51},55->{19,20,21,38,39,40,41,42,43},56->{11,12,13,44,45,46,47,48,49,50,51},57->{19,20,21,38,39,40,41,42 ,43}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<28,0,A>, 1 + A) (<28,0,B>, ?) (<28,0,C>, ?) (<28,0,F>, ?) (<28,0,G>, ?) (<28,0,H>, H) (<28,0,I>, 1) (<28,0,J>, J) (<28,0,K>, ?) (<28,0,N>, 1) (<28,0,O>, 0) (<28,0,P>, P) (<28,0,Q>, ?) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<32,0,A>, 1 + A) (<32,0,B>, ?) (<32,0,C>, ?) (<32,0,F>, ?) (<32,0,G>, ?) (<32,0,H>, H) (<32,0,I>, 0) (<32,0,J>, J) (<32,0,K>, ?) (<32,0,N>, 1) (<32,0,O>, 0) (<32,0,P>, P) (<32,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<44,0,A>, 1 + A) (<44,0,B>, ?) (<44,0,C>, ?) (<44,0,F>, ?) (<44,0,G>, ?) (<44,0,H>, H) (<44,0,I>, ?) (<44,0,J>, J) (<44,0,K>, 1) (<44,0,N>, ?) (<44,0,O>, ?) (<44,0,P>, P) (<44,0,Q>, ?) (<45,0,A>, 1 + A) (<45,0,B>, ?) (<45,0,C>, ?) (<45,0,F>, ?) (<45,0,G>, ?) (<45,0,H>, H) (<45,0,I>, ?) (<45,0,J>, J) (<45,0,K>, J) (<45,0,N>, ?) (<45,0,O>, ?) (<45,0,P>, P) (<45,0,Q>, ?) (<46,0,A>, 1 + A) (<46,0,B>, ?) (<46,0,C>, ?) (<46,0,F>, ?) (<46,0,G>, ?) (<46,0,H>, H) (<46,0,I>, ?) (<46,0,J>, J) (<46,0,K>, 2) (<46,0,N>, ?) (<46,0,O>, ?) (<46,0,P>, P) (<46,0,Q>, ?) (<47,0,A>, 1 + A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, ?) (<47,0,J>, J) (<47,0,K>, 1) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, 1 + A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, ?) (<48,0,J>, J) (<48,0,K>, J) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, ?) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<53,0,A>, 1) (<53,0,B>, ?) (<53,0,C>, ?) (<53,0,F>, ?) (<53,0,G>, ?) (<53,0,H>, H) (<53,0,I>, H + I) (<53,0,J>, J) (<53,0,K>, ?) (<53,0,N>, N) (<53,0,O>, O) (<53,0,P>, P) (<53,0,Q>, Q) (<54,0,A>, 1 + A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, ?) (<54,0,J>, J) (<54,0,K>, ?) (<54,0,N>, ?) (<54,0,O>, ?) (<54,0,P>, P) (<54,0,Q>, ?) (<55,0,A>, 1 + A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, ?) (<55,0,J>, J) (<55,0,K>, ?) (<55,0,N>, ?) (<55,0,O>, ?) (<55,0,P>, P) (<55,0,Q>, ?) (<56,0,A>, 1 + A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, ?) (<56,0,J>, J) (<56,0,K>, ?) (<56,0,N>, ?) (<56,0,O>, ?) (<56,0,P>, P) (<56,0,Q>, ?) (<57,0,A>, 1 + A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, ?) (<57,0,J>, J) (<57,0,K>, ?) (<57,0,N>, ?) (<57,0,O>, ?) (<57,0,P>, P) (<57,0,Q>, ?) + Applied Processor: ChainProcessor False [2,18,19,20,21,24,25,28,29,30,31,32,33,34,35,36,37,39,41,43,51,52,53,55,57] + Details: We chained rule 28 to obtain the rules [58,59] . * Step 19: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 32. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 44. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 45. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 46. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 53. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && 1 + I >= 1 + H] (?,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52,53},8->{11,12,13,44,45,46,47,48,49,50,51},11->{11,12,13,44,45,46,47,48,49,50,51},12->{11,12,13 ,44,45,46,47,48,49,50,51},13->{11,12,13,44,45,46,47,48,49,50,51},18->{19,20,21,38,39,40,41,42,43},19->{} ,20->{},21->{},24->{2,52,53},25->{19,20,21,38,39,40,41,42,43},29->{},30->{},31->{},32->{8,18},33->{8,18} ,34->{8,18},35->{},36->{},37->{},38->{11,12,13,44,45,46,47,48,49,50,51},39->{19,20,21,38,39,40,41,42,43} ,40->{11,12,13,44,45,46,47,48,49,50,51},41->{19,20,21,38,39,40,41,42,43},42->{11,12,13,44,45,46,47,48,49,50 ,51},43->{19,20,21,38,39,40,41,42,43},44->{11,12,13,44,45,46,47,48,49,50,51},45->{11,12,13,44,45,46,47,48,49 ,50,51},46->{11,12,13,44,45,46,47,48,49,50,51},47->{11,12,13,44,45,46,47,48,49,50,51},48->{11,12,13,44,45,46 ,47,48,49,50,51},49->{11,12,13,44,45,46,47,48,49,50,51},50->{11,12,13,44,45,46,47,48,49,50,51},51->{19,20,21 ,38,39,40,41,42,43},52->{2,52,53},53->{19,20,21,38,39,40,41,42,43},54->{11,12,13,44,45,46,47,48,49,50,51} ,55->{19,20,21,38,39,40,41,42,43},56->{11,12,13,44,45,46,47,48,49,50,51},57->{19,20,21,38,39,40,41,42,43} ,58->{11,12,13,44,45,46,47,48,49,50,51},59->{19,20,21,38,39,40,41,42,43}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<32,0,A>, 1 + A) (<32,0,B>, ?) (<32,0,C>, ?) (<32,0,F>, ?) (<32,0,G>, ?) (<32,0,H>, H) (<32,0,I>, 0) (<32,0,J>, J) (<32,0,K>, ?) (<32,0,N>, 1) (<32,0,O>, 0) (<32,0,P>, P) (<32,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<44,0,A>, 1 + A) (<44,0,B>, ?) (<44,0,C>, ?) (<44,0,F>, ?) (<44,0,G>, ?) (<44,0,H>, H) (<44,0,I>, ?) (<44,0,J>, J) (<44,0,K>, 1) (<44,0,N>, ?) (<44,0,O>, ?) (<44,0,P>, P) (<44,0,Q>, ?) (<45,0,A>, 1 + A) (<45,0,B>, ?) (<45,0,C>, ?) (<45,0,F>, ?) (<45,0,G>, ?) (<45,0,H>, H) (<45,0,I>, ?) (<45,0,J>, J) (<45,0,K>, J) (<45,0,N>, ?) (<45,0,O>, ?) (<45,0,P>, P) (<45,0,Q>, ?) (<46,0,A>, 1 + A) (<46,0,B>, ?) (<46,0,C>, ?) (<46,0,F>, ?) (<46,0,G>, ?) (<46,0,H>, H) (<46,0,I>, ?) (<46,0,J>, J) (<46,0,K>, 2) (<46,0,N>, ?) (<46,0,O>, ?) (<46,0,P>, P) (<46,0,Q>, ?) (<47,0,A>, 1 + A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, ?) (<47,0,J>, J) (<47,0,K>, 1) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, 1 + A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, ?) (<48,0,J>, J) (<48,0,K>, J) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, ?) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<53,0,A>, 1) (<53,0,B>, ?) (<53,0,C>, ?) (<53,0,F>, ?) (<53,0,G>, ?) (<53,0,H>, H) (<53,0,I>, H + I) (<53,0,J>, J) (<53,0,K>, ?) (<53,0,N>, N) (<53,0,O>, O) (<53,0,P>, P) (<53,0,Q>, Q) (<54,0,A>, 1 + A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, ?) (<54,0,J>, J) (<54,0,K>, ?) (<54,0,N>, ?) (<54,0,O>, ?) (<54,0,P>, P) (<54,0,Q>, ?) (<55,0,A>, 1 + A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, ?) (<55,0,J>, J) (<55,0,K>, ?) (<55,0,N>, ?) (<55,0,O>, ?) (<55,0,P>, P) (<55,0,Q>, ?) (<56,0,A>, 1 + A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, ?) (<56,0,J>, J) (<56,0,K>, ?) (<56,0,N>, ?) (<56,0,O>, ?) (<56,0,P>, P) (<56,0,Q>, ?) (<57,0,A>, 1 + A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, ?) (<57,0,J>, J) (<57,0,K>, ?) (<57,0,N>, ?) (<57,0,O>, ?) (<57,0,P>, P) (<57,0,Q>, ?) (<58,0,A>, 1 + A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, ?) (<58,0,J>, J) (<58,0,K>, ?) (<58,0,N>, ?) (<58,0,O>, ?) (<58,0,P>, P) (<58,0,Q>, ?) (<59,0,A>, 1 + A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, ?) (<59,0,J>, J) (<59,0,K>, ?) (<59,0,N>, ?) (<59,0,O>, ?) (<59,0,P>, P) (<59,0,Q>, ?) + Applied Processor: ChainProcessor False [2,18,19,20,21,24,25,29,30,31,32,33,34,35,36,37,39,41,43,51,52,53,55,57,59] + Details: We chained rule 32 to obtain the rules [60,61] . * Step 20: ChainProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 33. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 44. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 45. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 46. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 53. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && 1 + I >= 1 + H] (?,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52,53},8->{11,12,13,44,45,46,47,48,49,50,51},11->{11,12,13,44,45,46,47,48,49,50,51},12->{11,12,13 ,44,45,46,47,48,49,50,51},13->{11,12,13,44,45,46,47,48,49,50,51},18->{19,20,21,38,39,40,41,42,43},19->{} ,20->{},21->{},24->{2,52,53},25->{19,20,21,38,39,40,41,42,43},29->{},30->{},31->{},33->{8,18},34->{8,18} ,35->{},36->{},37->{},38->{11,12,13,44,45,46,47,48,49,50,51},39->{19,20,21,38,39,40,41,42,43},40->{11,12,13 ,44,45,46,47,48,49,50,51},41->{19,20,21,38,39,40,41,42,43},42->{11,12,13,44,45,46,47,48,49,50,51},43->{19,20 ,21,38,39,40,41,42,43},44->{11,12,13,44,45,46,47,48,49,50,51},45->{11,12,13,44,45,46,47,48,49,50,51},46->{11 ,12,13,44,45,46,47,48,49,50,51},47->{11,12,13,44,45,46,47,48,49,50,51},48->{11,12,13,44,45,46,47,48,49,50 ,51},49->{11,12,13,44,45,46,47,48,49,50,51},50->{11,12,13,44,45,46,47,48,49,50,51},51->{19,20,21,38,39,40,41 ,42,43},52->{2,52,53},53->{19,20,21,38,39,40,41,42,43},54->{11,12,13,44,45,46,47,48,49,50,51},55->{19,20,21 ,38,39,40,41,42,43},56->{11,12,13,44,45,46,47,48,49,50,51},57->{19,20,21,38,39,40,41,42,43},58->{11,12,13,44 ,45,46,47,48,49,50,51},59->{19,20,21,38,39,40,41,42,43},60->{11,12,13,44,45,46,47,48,49,50,51},61->{19,20,21 ,38,39,40,41,42,43}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<33,0,A>, 1 + A) (<33,0,B>, ?) (<33,0,C>, ?) (<33,0,F>, ?) (<33,0,G>, ?) (<33,0,H>, H) (<33,0,I>, H) (<33,0,J>, J) (<33,0,K>, ?) (<33,0,N>, 1) (<33,0,O>, 0) (<33,0,P>, P) (<33,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<44,0,A>, 1 + A) (<44,0,B>, ?) (<44,0,C>, ?) (<44,0,F>, ?) (<44,0,G>, ?) (<44,0,H>, H) (<44,0,I>, ?) (<44,0,J>, J) (<44,0,K>, 1) (<44,0,N>, ?) (<44,0,O>, ?) (<44,0,P>, P) (<44,0,Q>, ?) (<45,0,A>, 1 + A) (<45,0,B>, ?) (<45,0,C>, ?) (<45,0,F>, ?) (<45,0,G>, ?) (<45,0,H>, H) (<45,0,I>, ?) (<45,0,J>, J) (<45,0,K>, J) (<45,0,N>, ?) (<45,0,O>, ?) (<45,0,P>, P) (<45,0,Q>, ?) (<46,0,A>, 1 + A) (<46,0,B>, ?) (<46,0,C>, ?) (<46,0,F>, ?) (<46,0,G>, ?) (<46,0,H>, H) (<46,0,I>, ?) (<46,0,J>, J) (<46,0,K>, 2) (<46,0,N>, ?) (<46,0,O>, ?) (<46,0,P>, P) (<46,0,Q>, ?) (<47,0,A>, 1 + A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, ?) (<47,0,J>, J) (<47,0,K>, 1) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, 1 + A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, ?) (<48,0,J>, J) (<48,0,K>, J) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, ?) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<53,0,A>, 1) (<53,0,B>, ?) (<53,0,C>, ?) (<53,0,F>, ?) (<53,0,G>, ?) (<53,0,H>, H) (<53,0,I>, H + I) (<53,0,J>, J) (<53,0,K>, ?) (<53,0,N>, N) (<53,0,O>, O) (<53,0,P>, P) (<53,0,Q>, Q) (<54,0,A>, 1 + A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, ?) (<54,0,J>, J) (<54,0,K>, ?) (<54,0,N>, ?) (<54,0,O>, ?) (<54,0,P>, P) (<54,0,Q>, ?) (<55,0,A>, 1 + A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, ?) (<55,0,J>, J) (<55,0,K>, ?) (<55,0,N>, ?) (<55,0,O>, ?) (<55,0,P>, P) (<55,0,Q>, ?) (<56,0,A>, 1 + A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, ?) (<56,0,J>, J) (<56,0,K>, ?) (<56,0,N>, ?) (<56,0,O>, ?) (<56,0,P>, P) (<56,0,Q>, ?) (<57,0,A>, 1 + A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, ?) (<57,0,J>, J) (<57,0,K>, ?) (<57,0,N>, ?) (<57,0,O>, ?) (<57,0,P>, P) (<57,0,Q>, ?) (<58,0,A>, 1 + A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, ?) (<58,0,J>, J) (<58,0,K>, ?) (<58,0,N>, ?) (<58,0,O>, ?) (<58,0,P>, P) (<58,0,Q>, ?) (<59,0,A>, 1 + A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, ?) (<59,0,J>, J) (<59,0,K>, ?) (<59,0,N>, ?) (<59,0,O>, ?) (<59,0,P>, P) (<59,0,Q>, ?) (<60,0,A>, 1 + A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, ?) (<60,0,J>, J) (<60,0,K>, ?) (<60,0,N>, ?) (<60,0,O>, ?) (<60,0,P>, P) (<60,0,Q>, ?) (<61,0,A>, 1 + A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, ?) (<61,0,J>, J) (<61,0,K>, ?) (<61,0,N>, ?) (<61,0,O>, ?) (<61,0,P>, P) (<61,0,Q>, ?) + Applied Processor: ChainProcessor False [2,18,19,20,21,24,25,29,30,31,33,34,35,36,37,39,41,43,51,52,53,55,57,59,61] + Details: We chained rule 33 to obtain the rules [62,63] . * Step 21: UnsatPaths WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 44. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 45. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 46. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 53. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && 1 + I >= 1 + H] (?,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52,53},8->{11,12,13,44,45,46,47,48,49,50,51},11->{11,12,13,44,45,46,47,48,49,50,51},12->{11,12,13 ,44,45,46,47,48,49,50,51},13->{11,12,13,44,45,46,47,48,49,50,51},18->{19,20,21,38,39,40,41,42,43},19->{} ,20->{},21->{},24->{2,52,53},25->{19,20,21,38,39,40,41,42,43},29->{},30->{},31->{},34->{8,18},35->{},36->{} ,37->{},38->{11,12,13,44,45,46,47,48,49,50,51},39->{19,20,21,38,39,40,41,42,43},40->{11,12,13,44,45,46,47,48 ,49,50,51},41->{19,20,21,38,39,40,41,42,43},42->{11,12,13,44,45,46,47,48,49,50,51},43->{19,20,21,38,39,40,41 ,42,43},44->{11,12,13,44,45,46,47,48,49,50,51},45->{11,12,13,44,45,46,47,48,49,50,51},46->{11,12,13,44,45,46 ,47,48,49,50,51},47->{11,12,13,44,45,46,47,48,49,50,51},48->{11,12,13,44,45,46,47,48,49,50,51},49->{11,12,13 ,44,45,46,47,48,49,50,51},50->{11,12,13,44,45,46,47,48,49,50,51},51->{19,20,21,38,39,40,41,42,43},52->{2,52 ,53},53->{19,20,21,38,39,40,41,42,43},54->{11,12,13,44,45,46,47,48,49,50,51},55->{19,20,21,38,39,40,41,42 ,43},56->{11,12,13,44,45,46,47,48,49,50,51},57->{19,20,21,38,39,40,41,42,43},58->{11,12,13,44,45,46,47,48,49 ,50,51},59->{19,20,21,38,39,40,41,42,43},60->{11,12,13,44,45,46,47,48,49,50,51},61->{19,20,21,38,39,40,41,42 ,43},62->{11,12,13,44,45,46,47,48,49,50,51},63->{19,20,21,38,39,40,41,42,43}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<44,0,A>, 1 + A) (<44,0,B>, ?) (<44,0,C>, ?) (<44,0,F>, ?) (<44,0,G>, ?) (<44,0,H>, H) (<44,0,I>, ?) (<44,0,J>, J) (<44,0,K>, 1) (<44,0,N>, ?) (<44,0,O>, ?) (<44,0,P>, P) (<44,0,Q>, ?) (<45,0,A>, 1 + A) (<45,0,B>, ?) (<45,0,C>, ?) (<45,0,F>, ?) (<45,0,G>, ?) (<45,0,H>, H) (<45,0,I>, ?) (<45,0,J>, J) (<45,0,K>, J) (<45,0,N>, ?) (<45,0,O>, ?) (<45,0,P>, P) (<45,0,Q>, ?) (<46,0,A>, 1 + A) (<46,0,B>, ?) (<46,0,C>, ?) (<46,0,F>, ?) (<46,0,G>, ?) (<46,0,H>, H) (<46,0,I>, ?) (<46,0,J>, J) (<46,0,K>, 2) (<46,0,N>, ?) (<46,0,O>, ?) (<46,0,P>, P) (<46,0,Q>, ?) (<47,0,A>, 1 + A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, ?) (<47,0,J>, J) (<47,0,K>, 1) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, 1 + A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, ?) (<48,0,J>, J) (<48,0,K>, J) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, ?) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<53,0,A>, 1) (<53,0,B>, ?) (<53,0,C>, ?) (<53,0,F>, ?) (<53,0,G>, ?) (<53,0,H>, H) (<53,0,I>, H + I) (<53,0,J>, J) (<53,0,K>, ?) (<53,0,N>, N) (<53,0,O>, O) (<53,0,P>, P) (<53,0,Q>, Q) (<54,0,A>, 1 + A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, ?) (<54,0,J>, J) (<54,0,K>, ?) (<54,0,N>, ?) (<54,0,O>, ?) (<54,0,P>, P) (<54,0,Q>, ?) (<55,0,A>, 1 + A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, ?) (<55,0,J>, J) (<55,0,K>, ?) (<55,0,N>, ?) (<55,0,O>, ?) (<55,0,P>, P) (<55,0,Q>, ?) (<56,0,A>, 1 + A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, ?) (<56,0,J>, J) (<56,0,K>, ?) (<56,0,N>, ?) (<56,0,O>, ?) (<56,0,P>, P) (<56,0,Q>, ?) (<57,0,A>, 1 + A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, ?) (<57,0,J>, J) (<57,0,K>, ?) (<57,0,N>, ?) (<57,0,O>, ?) (<57,0,P>, P) (<57,0,Q>, ?) (<58,0,A>, 1 + A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, ?) (<58,0,J>, J) (<58,0,K>, ?) (<58,0,N>, ?) (<58,0,O>, ?) (<58,0,P>, P) (<58,0,Q>, ?) (<59,0,A>, 1 + A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, ?) (<59,0,J>, J) (<59,0,K>, ?) (<59,0,N>, ?) (<59,0,O>, ?) (<59,0,P>, P) (<59,0,Q>, ?) (<60,0,A>, 1 + A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, ?) (<60,0,J>, J) (<60,0,K>, ?) (<60,0,N>, ?) (<60,0,O>, ?) (<60,0,P>, P) (<60,0,Q>, ?) (<61,0,A>, 1 + A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, ?) (<61,0,J>, J) (<61,0,K>, ?) (<61,0,N>, ?) (<61,0,O>, ?) (<61,0,P>, P) (<61,0,Q>, ?) (<62,0,A>, 1 + A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, ?) (<62,0,J>, J) (<62,0,K>, ?) (<62,0,N>, ?) (<62,0,O>, ?) (<62,0,P>, P) (<62,0,Q>, ?) (<63,0,A>, 1 + A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, ?) (<63,0,J>, J) (<63,0,K>, ?) (<63,0,N>, ?) (<63,0,O>, ?) (<63,0,P>, P) (<63,0,Q>, ?) + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(8,44) ,(8,45) ,(8,46) ,(11,12) ,(11,44) ,(11,45) ,(11,46) ,(11,47) ,(11,48) ,(11,49) ,(11,50) ,(11,51) ,(12,11) ,(12,13) ,(12,44) ,(12,45) ,(12,46) ,(12,47) ,(12,48) ,(12,49) ,(12,50) ,(12,51) ,(13,11) ,(13,13) ,(13,44) ,(13,45) ,(13,46) ,(13,47) ,(13,48) ,(13,49) ,(13,51) ,(25,19) ,(25,21) ,(25,38) ,(25,39) ,(25,40) ,(25,41) ,(25,42) ,(25,43) ,(38,44) ,(38,45) ,(38,46) ,(39,40) ,(39,41) ,(40,44) ,(40,45) ,(40,46) ,(41,38) ,(41,39) ,(41,42) ,(41,43) ,(42,44) ,(42,45) ,(42,46) ,(43,38) ,(43,39) ,(43,42) ,(43,43) ,(44,11) ,(44,12) ,(44,13) ,(44,44) ,(44,45) ,(44,46) ,(44,47) ,(44,48) ,(44,49) ,(44,50) ,(44,51) ,(45,11) ,(45,12) ,(45,13) ,(45,44) ,(45,45) ,(45,46) ,(45,47) ,(45,48) ,(45,49) ,(45,50) ,(45,51) ,(46,11) ,(46,12) ,(46,13) ,(46,44) ,(46,45) ,(46,46) ,(46,47) ,(46,48) ,(46,49) ,(46,50) ,(46,51) ,(47,11) ,(47,12) ,(47,13) ,(47,44) ,(47,45) ,(47,46) ,(47,48) ,(48,11) ,(48,12) ,(48,13) ,(48,44) ,(48,45) ,(48,46) ,(48,47) ,(48,49) ,(49,11) ,(49,12) ,(49,13) ,(49,44) ,(49,45) ,(49,46) ,(49,47) ,(49,49) ,(50,11) ,(50,12) ,(50,13) ,(50,44) ,(50,45) ,(50,46) ,(50,47) ,(50,48) ,(50,49) ,(52,2) ,(53,38) ,(53,39) ,(53,40) ,(53,41) ,(53,42) ,(53,43) ,(54,44) ,(54,45) ,(54,46) ,(55,40) ,(55,41) ,(56,44) ,(56,45) ,(56,46) ,(57,38) ,(57,39) ,(57,42) ,(57,43) ,(58,44) ,(58,45) ,(58,46) ,(59,38) ,(59,39) ,(59,42) ,(59,43) ,(60,44) ,(60,45) ,(60,46) ,(61,19) ,(61,21) ,(61,40) ,(61,41) ,(62,44) ,(62,45) ,(62,46) ,(63,19) ,(63,21) ,(63,38) ,(63,39) ,(63,42) ,(63,43)] * Step 22: UnreachableRules WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 44. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 45. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 46. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [0 >= Q && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 53. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && 1 + I >= 1 + H] (?,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52,53},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{19,20,21,38,39,40,41,42 ,43},19->{},20->{},21->{},24->{2,52,53},25->{20},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{} ,38->{11,12,13,47,48,49,50,51},39->{19,20,21,38,39,42,43},40->{11,12,13,47,48,49,50,51},41->{19,20,21,40,41} ,42->{11,12,13,47,48,49,50,51},43->{19,20,21,40,41},44->{},45->{},46->{},47->{47,49,50,51},48->{48,50,51} ,49->{48,50,51},50->{50,51},51->{19,20,21,38,39,40,41,42,43},52->{52,53},53->{19,20,21},54->{11,12,13,47,48 ,49,50,51},55->{19,20,21,38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{19,20,21,40,41},58->{11,12,13,47,48 ,49,50,51},59->{19,20,21,40,41},60->{11,12,13,47,48,49,50,51},61->{20,38,39,42,43},62->{11,12,13,47,48,49,50 ,51},63->{20,40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<44,0,A>, 1 + A) (<44,0,B>, ?) (<44,0,C>, ?) (<44,0,F>, ?) (<44,0,G>, ?) (<44,0,H>, H) (<44,0,I>, ?) (<44,0,J>, J) (<44,0,K>, 1) (<44,0,N>, ?) (<44,0,O>, ?) (<44,0,P>, P) (<44,0,Q>, ?) (<45,0,A>, 1 + A) (<45,0,B>, ?) (<45,0,C>, ?) (<45,0,F>, ?) (<45,0,G>, ?) (<45,0,H>, H) (<45,0,I>, ?) (<45,0,J>, J) (<45,0,K>, J) (<45,0,N>, ?) (<45,0,O>, ?) (<45,0,P>, P) (<45,0,Q>, ?) (<46,0,A>, 1 + A) (<46,0,B>, ?) (<46,0,C>, ?) (<46,0,F>, ?) (<46,0,G>, ?) (<46,0,H>, H) (<46,0,I>, ?) (<46,0,J>, J) (<46,0,K>, 2) (<46,0,N>, ?) (<46,0,O>, ?) (<46,0,P>, P) (<46,0,Q>, ?) (<47,0,A>, 1 + A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, ?) (<47,0,J>, J) (<47,0,K>, 1) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, 1 + A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, ?) (<48,0,J>, J) (<48,0,K>, J) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, ?) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<53,0,A>, 1) (<53,0,B>, ?) (<53,0,C>, ?) (<53,0,F>, ?) (<53,0,G>, ?) (<53,0,H>, H) (<53,0,I>, H + I) (<53,0,J>, J) (<53,0,K>, ?) (<53,0,N>, N) (<53,0,O>, O) (<53,0,P>, P) (<53,0,Q>, Q) (<54,0,A>, 1 + A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, ?) (<54,0,J>, J) (<54,0,K>, ?) (<54,0,N>, ?) (<54,0,O>, ?) (<54,0,P>, P) (<54,0,Q>, ?) (<55,0,A>, 1 + A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, ?) (<55,0,J>, J) (<55,0,K>, ?) (<55,0,N>, ?) (<55,0,O>, ?) (<55,0,P>, P) (<55,0,Q>, ?) (<56,0,A>, 1 + A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, ?) (<56,0,J>, J) (<56,0,K>, ?) (<56,0,N>, ?) (<56,0,O>, ?) (<56,0,P>, P) (<56,0,Q>, ?) (<57,0,A>, 1 + A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, ?) (<57,0,J>, J) (<57,0,K>, ?) (<57,0,N>, ?) (<57,0,O>, ?) (<57,0,P>, P) (<57,0,Q>, ?) (<58,0,A>, 1 + A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, ?) (<58,0,J>, J) (<58,0,K>, ?) (<58,0,N>, ?) (<58,0,O>, ?) (<58,0,P>, P) (<58,0,Q>, ?) (<59,0,A>, 1 + A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, ?) (<59,0,J>, J) (<59,0,K>, ?) (<59,0,N>, ?) (<59,0,O>, ?) (<59,0,P>, P) (<59,0,Q>, ?) (<60,0,A>, 1 + A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, ?) (<60,0,J>, J) (<60,0,K>, ?) (<60,0,N>, ?) (<60,0,O>, ?) (<60,0,P>, P) (<60,0,Q>, ?) (<61,0,A>, 1 + A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, ?) (<61,0,J>, J) (<61,0,K>, ?) (<61,0,N>, ?) (<61,0,O>, ?) (<61,0,P>, P) (<61,0,Q>, ?) (<62,0,A>, 1 + A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, ?) (<62,0,J>, J) (<62,0,K>, ?) (<62,0,N>, ?) (<62,0,O>, ?) (<62,0,P>, P) (<62,0,Q>, ?) (<63,0,A>, 1 + A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, ?) (<63,0,J>, J) (<63,0,K>, ?) (<63,0,N>, ?) (<63,0,O>, ?) (<63,0,P>, P) (<63,0,Q>, ?) + Applied Processor: UnreachableRules + Details: The following transitions are not reachable from the starting states and are removed: [44,45,46] * Step 23: LeafRules WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 19. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= 2 + A && I >= 1 + H] (?,1) 20. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,B,C,F,G,H,I,J,K,N,O,P,Q) [A >= 0 && I >= 1 + H] (?,1) 21. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 1 + H && 1 + A = 0] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 53. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && 1 + I >= 1 + H] (?,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52,53},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{19,20,21,38,39,40,41,42 ,43},19->{},20->{},21->{},24->{2,52,53},25->{20},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{} ,38->{11,12,13,47,48,49,50,51},39->{19,20,21,38,39,42,43},40->{11,12,13,47,48,49,50,51},41->{19,20,21,40,41} ,42->{11,12,13,47,48,49,50,51},43->{19,20,21,40,41},47->{47,49,50,51},48->{48,50,51},49->{48,50,51},50->{50 ,51},51->{19,20,21,38,39,40,41,42,43},52->{52,53},53->{19,20,21},54->{11,12,13,47,48,49,50,51},55->{19,20,21 ,38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{19,20,21,40,41},58->{11,12,13,47,48,49,50,51},59->{19,20,21 ,40,41},60->{11,12,13,47,48,49,50,51},61->{20,38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{20,40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<19,0,A>, 1 + A) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,F>, ?) (<19,0,G>, ?) (<19,0,H>, H) (<19,0,I>, ?) (<19,0,J>, J) (<19,0,K>, ?) (<19,0,N>, ?) (<19,0,O>, ?) (<19,0,P>, P) (<19,0,Q>, ?) (<20,0,A>, 1 + A) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,F>, ?) (<20,0,G>, ?) (<20,0,H>, H) (<20,0,I>, ?) (<20,0,J>, J) (<20,0,K>, ?) (<20,0,N>, ?) (<20,0,O>, ?) (<20,0,P>, P) (<20,0,Q>, ?) (<21,0,A>, 1) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,F>, ?) (<21,0,G>, ?) (<21,0,H>, H) (<21,0,I>, ?) (<21,0,J>, J) (<21,0,K>, ?) (<21,0,N>, ?) (<21,0,O>, ?) (<21,0,P>, P) (<21,0,Q>, ?) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, 1 + A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, ?) (<47,0,J>, J) (<47,0,K>, 1) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, 1 + A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, ?) (<48,0,J>, J) (<48,0,K>, J) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, ?) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<53,0,A>, 1) (<53,0,B>, ?) (<53,0,C>, ?) (<53,0,F>, ?) (<53,0,G>, ?) (<53,0,H>, H) (<53,0,I>, H + I) (<53,0,J>, J) (<53,0,K>, ?) (<53,0,N>, N) (<53,0,O>, O) (<53,0,P>, P) (<53,0,Q>, Q) (<54,0,A>, 1 + A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, ?) (<54,0,J>, J) (<54,0,K>, ?) (<54,0,N>, ?) (<54,0,O>, ?) (<54,0,P>, P) (<54,0,Q>, ?) (<55,0,A>, 1 + A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, ?) (<55,0,J>, J) (<55,0,K>, ?) (<55,0,N>, ?) (<55,0,O>, ?) (<55,0,P>, P) (<55,0,Q>, ?) (<56,0,A>, 1 + A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, ?) (<56,0,J>, J) (<56,0,K>, ?) (<56,0,N>, ?) (<56,0,O>, ?) (<56,0,P>, P) (<56,0,Q>, ?) (<57,0,A>, 1 + A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, ?) (<57,0,J>, J) (<57,0,K>, ?) (<57,0,N>, ?) (<57,0,O>, ?) (<57,0,P>, P) (<57,0,Q>, ?) (<58,0,A>, 1 + A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, ?) (<58,0,J>, J) (<58,0,K>, ?) (<58,0,N>, ?) (<58,0,O>, ?) (<58,0,P>, P) (<58,0,Q>, ?) (<59,0,A>, 1 + A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, ?) (<59,0,J>, J) (<59,0,K>, ?) (<59,0,N>, ?) (<59,0,O>, ?) (<59,0,P>, P) (<59,0,Q>, ?) (<60,0,A>, 1 + A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, ?) (<60,0,J>, J) (<60,0,K>, ?) (<60,0,N>, ?) (<60,0,O>, ?) (<60,0,P>, P) (<60,0,Q>, ?) (<61,0,A>, 1 + A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, ?) (<61,0,J>, J) (<61,0,K>, ?) (<61,0,N>, ?) (<61,0,O>, ?) (<61,0,P>, P) (<61,0,Q>, ?) (<62,0,A>, 1 + A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, ?) (<62,0,J>, J) (<62,0,K>, ?) (<62,0,N>, ?) (<62,0,O>, ?) (<62,0,P>, P) (<62,0,Q>, ?) (<63,0,A>, 1 + A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, ?) (<63,0,J>, J) (<63,0,K>, ?) (<63,0,N>, ?) (<63,0,O>, ?) (<63,0,P>, P) (<63,0,Q>, ?) + Applied Processor: LeafRules + Details: The following transitions are estimated by its predecessors and are removed [53,19,20,21] * Step 24: LocalSizeboundsProc WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, H) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, 1 + A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, ?) (< 8,0,J>, J) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, P) (< 8,0,Q>, ?) (<11,0,A>, 1 + A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, ?) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, 1 + A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, ?) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, 1 + A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, ?) (<18,0,J>, J) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, P) (<18,0,Q>, ?) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, H) (<24,0,J>, J) (<24,0,K>, ?) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, H + I) (<25,0,J>, J) (<25,0,K>, ?) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, 1 + A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, ?) (<29,0,J>, J) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, P) (<29,0,Q>, ?) (<30,0,A>, 1 + A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, ?) (<30,0,J>, J) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, P) (<30,0,Q>, ?) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, ?) (<31,0,J>, J) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, P) (<31,0,Q>, ?) (<34,0,A>, 1 + A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, ?) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, ?) (<35,0,A>, 1 + A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, ?) (<35,0,J>, J) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, P) (<35,0,Q>, ?) (<36,0,A>, 1 + A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, ?) (<36,0,J>, J) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, P) (<36,0,Q>, ?) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, ?) (<37,0,J>, J) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, P) (<37,0,Q>, ?) (<38,0,A>, 1 + A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, ?) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, 1 + A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, ?) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, 1 + A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, ?) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, 1 + A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, ?) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, ?) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, ?) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, 1 + A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, ?) (<47,0,J>, J) (<47,0,K>, 1) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, 1 + A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, ?) (<48,0,J>, J) (<48,0,K>, J) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, ?) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, 1 + A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, ?) (<54,0,J>, J) (<54,0,K>, ?) (<54,0,N>, ?) (<54,0,O>, ?) (<54,0,P>, P) (<54,0,Q>, ?) (<55,0,A>, 1 + A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, ?) (<55,0,J>, J) (<55,0,K>, ?) (<55,0,N>, ?) (<55,0,O>, ?) (<55,0,P>, P) (<55,0,Q>, ?) (<56,0,A>, 1 + A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, ?) (<56,0,J>, J) (<56,0,K>, ?) (<56,0,N>, ?) (<56,0,O>, ?) (<56,0,P>, P) (<56,0,Q>, ?) (<57,0,A>, 1 + A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, ?) (<57,0,J>, J) (<57,0,K>, ?) (<57,0,N>, ?) (<57,0,O>, ?) (<57,0,P>, P) (<57,0,Q>, ?) (<58,0,A>, 1 + A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, ?) (<58,0,J>, J) (<58,0,K>, ?) (<58,0,N>, ?) (<58,0,O>, ?) (<58,0,P>, P) (<58,0,Q>, ?) (<59,0,A>, 1 + A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, ?) (<59,0,J>, J) (<59,0,K>, ?) (<59,0,N>, ?) (<59,0,O>, ?) (<59,0,P>, P) (<59,0,Q>, ?) (<60,0,A>, 1 + A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, ?) (<60,0,J>, J) (<60,0,K>, ?) (<60,0,N>, ?) (<60,0,O>, ?) (<60,0,P>, P) (<60,0,Q>, ?) (<61,0,A>, 1 + A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, ?) (<61,0,J>, J) (<61,0,K>, ?) (<61,0,N>, ?) (<61,0,O>, ?) (<61,0,P>, P) (<61,0,Q>, ?) (<62,0,A>, 1 + A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, ?) (<62,0,J>, J) (<62,0,K>, ?) (<62,0,N>, ?) (<62,0,O>, ?) (<62,0,P>, P) (<62,0,Q>, ?) (<63,0,A>, 1 + A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, ?) (<63,0,J>, J) (<63,0,K>, ?) (<63,0,N>, ?) (<63,0,O>, ?) (<63,0,P>, P) (<63,0,Q>, ?) + Applied Processor: LocalSizeboundsProc + Details: LocalSizebounds generated; rvgraph (< 2,0,A>, A, .= 0) (< 2,0,B>, B, .= 0) (< 2,0,C>, C, .= 0) (< 2,0,F>, F, .= 0) (< 2,0,G>, G, .= 0) (< 2,0,H>, H, .= 0) (< 2,0,I>, I, .= 0) (< 2,0,J>, J, .= 0) (< 2,0,K>, 1 + K, .+ 1) (< 2,0,N>, N, .= 0) (< 2,0,O>, O, .= 0) (< 2,0,P>, P, .= 0) (< 2,0,Q>, Q, .= 0) (< 8,0,A>, A, .= 0) (< 8,0,B>, B, .= 0) (< 8,0,C>, C, .= 0) (< 8,0,F>, F, .= 0) (< 8,0,G>, G, .= 0) (< 8,0,H>, H, .= 0) (< 8,0,I>, I, .= 0) (< 8,0,J>, J, .= 0) (< 8,0,K>, K, .= 0) (< 8,0,N>, N, .= 0) (< 8,0,O>, O, .= 0) (< 8,0,P>, P, .= 0) (< 8,0,Q>, Q, .= 0) (<11,0,A>, A, .= 0) (<11,0,B>, B, .= 0) (<11,0,C>, C, .= 0) (<11,0,F>, F, .= 0) (<11,0,G>, G, .= 0) (<11,0,H>, H, .= 0) (<11,0,I>, I, .= 0) (<11,0,J>, J, .= 0) (<11,0,K>, 1 + K, .+ 1) (<11,0,N>, N, .= 0) (<11,0,O>, O, .= 0) (<11,0,P>, P, .= 0) (<11,0,Q>, 1, .= 1) (<12,0,A>, A, .= 0) (<12,0,B>, B, .= 0) (<12,0,C>, C, .= 0) (<12,0,F>, F, .= 0) (<12,0,G>, G, .= 0) (<12,0,H>, H, .= 0) (<12,0,I>, I, .= 0) (<12,0,J>, J, .= 0) (<12,0,K>, 3 + K, .+ 3) (<12,0,N>, N, .= 0) (<12,0,O>, O, .= 0) (<12,0,P>, P, .= 0) (<12,0,Q>, 1, .= 1) (<13,0,A>, A, .= 0) (<13,0,B>, B, .= 0) (<13,0,C>, C, .= 0) (<13,0,F>, F, .= 0) (<13,0,G>, G, .= 0) (<13,0,H>, H, .= 0) (<13,0,I>, I, .= 0) (<13,0,J>, J, .= 0) (<13,0,K>, 2, .= 2) (<13,0,N>, N, .= 0) (<13,0,O>, O, .= 0) (<13,0,P>, P, .= 0) (<13,0,Q>, 1, .= 1) (<18,0,A>, A, .= 0) (<18,0,B>, B, .= 0) (<18,0,C>, C, .= 0) (<18,0,F>, F, .= 0) (<18,0,G>, G, .= 0) (<18,0,H>, H, .= 0) (<18,0,I>, 1 + I, .+ 1) (<18,0,J>, J, .= 0) (<18,0,K>, K, .= 0) (<18,0,N>, N, .= 0) (<18,0,O>, O, .= 0) (<18,0,P>, P, .= 0) (<18,0,Q>, Q, .= 0) (<24,0,A>, 1, .= 1) (<24,0,B>, ?, .?) (<24,0,C>, ?, .?) (<24,0,F>, ?, .?) (<24,0,G>, ?, .?) (<24,0,H>, H, .= 0) (<24,0,I>, I, .= 0) (<24,0,J>, J, .= 0) (<24,0,K>, K, .= 0) (<24,0,N>, N, .= 0) (<24,0,O>, O, .= 0) (<24,0,P>, P, .= 0) (<24,0,Q>, Q, .= 0) (<25,0,A>, 1, .= 1) (<25,0,B>, ?, .?) (<25,0,C>, ?, .?) (<25,0,F>, ?, .?) (<25,0,G>, ?, .?) (<25,0,H>, H, .= 0) (<25,0,I>, I, .= 0) (<25,0,J>, J, .= 0) (<25,0,K>, K, .= 0) (<25,0,N>, N, .= 0) (<25,0,O>, O, .= 0) (<25,0,P>, P, .= 0) (<25,0,Q>, Q, .= 0) (<29,0,A>, A, .= 0) (<29,0,B>, ?, .?) (<29,0,C>, ?, .?) (<29,0,F>, ?, .?) (<29,0,G>, ?, .?) (<29,0,H>, H, .= 0) (<29,0,I>, I, .= 0) (<29,0,J>, J, .= 0) (<29,0,K>, K, .= 0) (<29,0,N>, N, .= 0) (<29,0,O>, O, .= 0) (<29,0,P>, P, .= 0) (<29,0,Q>, Q, .= 0) (<30,0,A>, A, .= 0) (<30,0,B>, ?, .?) (<30,0,C>, ?, .?) (<30,0,F>, ?, .?) (<30,0,G>, ?, .?) (<30,0,H>, H, .= 0) (<30,0,I>, I, .= 0) (<30,0,J>, J, .= 0) (<30,0,K>, K, .= 0) (<30,0,N>, N, .= 0) (<30,0,O>, O, .= 0) (<30,0,P>, P, .= 0) (<30,0,Q>, Q, .= 0) (<31,0,A>, 1, .= 1) (<31,0,B>, ?, .?) (<31,0,C>, ?, .?) (<31,0,F>, ?, .?) (<31,0,G>, ?, .?) (<31,0,H>, H, .= 0) (<31,0,I>, I, .= 0) (<31,0,J>, J, .= 0) (<31,0,K>, K, .= 0) (<31,0,N>, N, .= 0) (<31,0,O>, O, .= 0) (<31,0,P>, P, .= 0) (<31,0,Q>, Q, .= 0) (<34,0,A>, A, .= 0) (<34,0,B>, ?, .?) (<34,0,C>, ?, .?) (<34,0,F>, ?, .?) (<34,0,G>, ?, .?) (<34,0,H>, H, .= 0) (<34,0,I>, 1, .= 1) (<34,0,J>, J, .= 0) (<34,0,K>, K, .= 0) (<34,0,N>, 1, .= 1) (<34,0,O>, 0, .= 0) (<34,0,P>, P, .= 0) (<34,0,Q>, Q, .= 0) (<35,0,A>, A, .= 0) (<35,0,B>, ?, .?) (<35,0,C>, ?, .?) (<35,0,F>, ?, .?) (<35,0,G>, ?, .?) (<35,0,H>, H, .= 0) (<35,0,I>, I, .= 0) (<35,0,J>, J, .= 0) (<35,0,K>, K, .= 0) (<35,0,N>, N, .= 0) (<35,0,O>, O, .= 0) (<35,0,P>, P, .= 0) (<35,0,Q>, Q, .= 0) (<36,0,A>, A, .= 0) (<36,0,B>, ?, .?) (<36,0,C>, ?, .?) (<36,0,F>, ?, .?) (<36,0,G>, ?, .?) (<36,0,H>, H, .= 0) (<36,0,I>, I, .= 0) (<36,0,J>, J, .= 0) (<36,0,K>, K, .= 0) (<36,0,N>, N, .= 0) (<36,0,O>, O, .= 0) (<36,0,P>, P, .= 0) (<36,0,Q>, Q, .= 0) (<37,0,A>, 1, .= 1) (<37,0,B>, ?, .?) (<37,0,C>, ?, .?) (<37,0,F>, ?, .?) (<37,0,G>, ?, .?) (<37,0,H>, H, .= 0) (<37,0,I>, I, .= 0) (<37,0,J>, J, .= 0) (<37,0,K>, K, .= 0) (<37,0,N>, N, .= 0) (<37,0,O>, O, .= 0) (<37,0,P>, P, .= 0) (<37,0,Q>, Q, .= 0) (<38,0,A>, A, .= 0) (<38,0,B>, B, .= 0) (<38,0,C>, C, .= 0) (<38,0,F>, F, .= 0) (<38,0,G>, G, .= 0) (<38,0,H>, H, .= 0) (<38,0,I>, I, .= 0) (<38,0,J>, J, .= 0) (<38,0,K>, K, .= 0) (<38,0,N>, 1, .= 1) (<38,0,O>, 0, .= 0) (<38,0,P>, P, .= 0) (<38,0,Q>, Q, .= 0) (<39,0,A>, A, .= 0) (<39,0,B>, B, .= 0) (<39,0,C>, C, .= 0) (<39,0,F>, F, .= 0) (<39,0,G>, G, .= 0) (<39,0,H>, H, .= 0) (<39,0,I>, 1 + I, .+ 1) (<39,0,J>, J, .= 0) (<39,0,K>, K, .= 0) (<39,0,N>, 1, .= 1) (<39,0,O>, 0, .= 0) (<39,0,P>, P, .= 0) (<39,0,Q>, Q, .= 0) (<40,0,A>, A, .= 0) (<40,0,B>, B, .= 0) (<40,0,C>, C, .= 0) (<40,0,F>, F, .= 0) (<40,0,G>, G, .= 0) (<40,0,H>, H, .= 0) (<40,0,I>, I, .= 0) (<40,0,J>, J, .= 0) (<40,0,K>, K, .= 0) (<40,0,N>, 1, .= 1) (<40,0,O>, 0, .= 0) (<40,0,P>, P, .= 0) (<40,0,Q>, Q, .= 0) (<41,0,A>, A, .= 0) (<41,0,B>, B, .= 0) (<41,0,C>, C, .= 0) (<41,0,F>, F, .= 0) (<41,0,G>, G, .= 0) (<41,0,H>, H, .= 0) (<41,0,I>, 1 + I, .+ 1) (<41,0,J>, J, .= 0) (<41,0,K>, K, .= 0) (<41,0,N>, 1, .= 1) (<41,0,O>, 0, .= 0) (<41,0,P>, P, .= 0) (<41,0,Q>, Q, .= 0) (<42,0,A>, A, .= 0) (<42,0,B>, B, .= 0) (<42,0,C>, C, .= 0) (<42,0,F>, F, .= 0) (<42,0,G>, G, .= 0) (<42,0,H>, H, .= 0) (<42,0,I>, 1, .= 1) (<42,0,J>, J, .= 0) (<42,0,K>, K, .= 0) (<42,0,N>, 1, .= 1) (<42,0,O>, 0, .= 0) (<42,0,P>, P, .= 0) (<42,0,Q>, Q, .= 0) (<43,0,A>, A, .= 0) (<43,0,B>, B, .= 0) (<43,0,C>, C, .= 0) (<43,0,F>, F, .= 0) (<43,0,G>, G, .= 0) (<43,0,H>, H, .= 0) (<43,0,I>, 2, .= 2) (<43,0,J>, J, .= 0) (<43,0,K>, K, .= 0) (<43,0,N>, 1, .= 1) (<43,0,O>, 0, .= 0) (<43,0,P>, P, .= 0) (<43,0,Q>, Q, .= 0) (<47,0,A>, A, .= 0) (<47,0,B>, B, .= 0) (<47,0,C>, C, .= 0) (<47,0,F>, F, .= 0) (<47,0,G>, G, .= 0) (<47,0,H>, H, .= 0) (<47,0,I>, I, .= 0) (<47,0,J>, J, .= 0) (<47,0,K>, 1 + K, .+ 1) (<47,0,N>, N, .= 0) (<47,0,O>, O, .= 0) (<47,0,P>, P, .= 0) (<47,0,Q>, Q, .= 0) (<48,0,A>, A, .= 0) (<48,0,B>, B, .= 0) (<48,0,C>, C, .= 0) (<48,0,F>, F, .= 0) (<48,0,G>, G, .= 0) (<48,0,H>, H, .= 0) (<48,0,I>, I, .= 0) (<48,0,J>, J, .= 0) (<48,0,K>, 1 + K, .+ 1) (<48,0,N>, N, .= 0) (<48,0,O>, O, .= 0) (<48,0,P>, P, .= 0) (<48,0,Q>, Q, .= 0) (<49,0,A>, A, .= 0) (<49,0,B>, B, .= 0) (<49,0,C>, C, .= 0) (<49,0,F>, F, .= 0) (<49,0,G>, G, .= 0) (<49,0,H>, H, .= 0) (<49,0,I>, I, .= 0) (<49,0,J>, J, .= 0) (<49,0,K>, 2, .= 2) (<49,0,N>, N, .= 0) (<49,0,O>, O, .= 0) (<49,0,P>, P, .= 0) (<49,0,Q>, Q, .= 0) (<50,0,A>, A, .= 0) (<50,0,B>, B, .= 0) (<50,0,C>, C, .= 0) (<50,0,F>, F, .= 0) (<50,0,G>, G, .= 0) (<50,0,H>, H, .= 0) (<50,0,I>, I, .= 0) (<50,0,J>, J, .= 0) (<50,0,K>, K, .= 0) (<50,0,N>, ?, .?) (<50,0,O>, ?, .?) (<50,0,P>, P, .= 0) (<50,0,Q>, 1 + Q, .+ 1) (<51,0,A>, A, .= 0) (<51,0,B>, B, .= 0) (<51,0,C>, C, .= 0) (<51,0,F>, F, .= 0) (<51,0,G>, G, .= 0) (<51,0,H>, H, .= 0) (<51,0,I>, 1 + I, .+ 1) (<51,0,J>, J, .= 0) (<51,0,K>, K, .= 0) (<51,0,N>, ?, .?) (<51,0,O>, ?, .?) (<51,0,P>, P, .= 0) (<51,0,Q>, 1 + Q, .+ 1) (<52,0,A>, A, .= 0) (<52,0,B>, B, .= 0) (<52,0,C>, C, .= 0) (<52,0,F>, F, .= 0) (<52,0,G>, G, .= 0) (<52,0,H>, H, .= 0) (<52,0,I>, 1 + I, .+ 1) (<52,0,J>, J, .= 0) (<52,0,K>, K, .= 0) (<52,0,N>, N, .= 0) (<52,0,O>, O, .= 0) (<52,0,P>, P, .= 0) (<52,0,Q>, Q, .= 0) (<54,0,A>, A, .= 0) (<54,0,B>, ?, .?) (<54,0,C>, ?, .?) (<54,0,F>, ?, .?) (<54,0,G>, ?, .?) (<54,0,H>, H, .= 0) (<54,0,I>, I, .= 0) (<54,0,J>, J, .= 0) (<54,0,K>, K, .= 0) (<54,0,N>, 1, .= 1) (<54,0,O>, 0, .= 0) (<54,0,P>, P, .= 0) (<54,0,Q>, Q, .= 0) (<55,0,A>, A, .= 0) (<55,0,B>, ?, .?) (<55,0,C>, ?, .?) (<55,0,F>, ?, .?) (<55,0,G>, ?, .?) (<55,0,H>, H, .= 0) (<55,0,I>, 1 + I, .+ 1) (<55,0,J>, J, .= 0) (<55,0,K>, K, .= 0) (<55,0,N>, 1, .= 1) (<55,0,O>, 0, .= 0) (<55,0,P>, P, .= 0) (<55,0,Q>, Q, .= 0) (<56,0,A>, A, .= 0) (<56,0,B>, ?, .?) (<56,0,C>, ?, .?) (<56,0,F>, ?, .?) (<56,0,G>, ?, .?) (<56,0,H>, H, .= 0) (<56,0,I>, I, .= 0) (<56,0,J>, J, .= 0) (<56,0,K>, K, .= 0) (<56,0,N>, 1, .= 1) (<56,0,O>, 0, .= 0) (<56,0,P>, P, .= 0) (<56,0,Q>, Q, .= 0) (<57,0,A>, A, .= 0) (<57,0,B>, ?, .?) (<57,0,C>, ?, .?) (<57,0,F>, ?, .?) (<57,0,G>, ?, .?) (<57,0,H>, H, .= 0) (<57,0,I>, 1 + I, .+ 1) (<57,0,J>, J, .= 0) (<57,0,K>, K, .= 0) (<57,0,N>, 1, .= 1) (<57,0,O>, 0, .= 0) (<57,0,P>, P, .= 0) (<57,0,Q>, Q, .= 0) (<58,0,A>, A, .= 0) (<58,0,B>, ?, .?) (<58,0,C>, ?, .?) (<58,0,F>, ?, .?) (<58,0,G>, ?, .?) (<58,0,H>, H, .= 0) (<58,0,I>, 1, .= 1) (<58,0,J>, J, .= 0) (<58,0,K>, K, .= 0) (<58,0,N>, 1, .= 1) (<58,0,O>, 0, .= 0) (<58,0,P>, P, .= 0) (<58,0,Q>, Q, .= 0) (<59,0,A>, A, .= 0) (<59,0,B>, ?, .?) (<59,0,C>, ?, .?) (<59,0,F>, ?, .?) (<59,0,G>, ?, .?) (<59,0,H>, H, .= 0) (<59,0,I>, 2, .= 2) (<59,0,J>, J, .= 0) (<59,0,K>, K, .= 0) (<59,0,N>, 1, .= 1) (<59,0,O>, 0, .= 0) (<59,0,P>, P, .= 0) (<59,0,Q>, Q, .= 0) (<60,0,A>, A, .= 0) (<60,0,B>, ?, .?) (<60,0,C>, ?, .?) (<60,0,F>, ?, .?) (<60,0,G>, ?, .?) (<60,0,H>, H, .= 0) (<60,0,I>, I, .= 0) (<60,0,J>, J, .= 0) (<60,0,K>, K, .= 0) (<60,0,N>, 1, .= 1) (<60,0,O>, 0, .= 0) (<60,0,P>, P, .= 0) (<60,0,Q>, Q, .= 0) (<61,0,A>, A, .= 0) (<61,0,B>, ?, .?) (<61,0,C>, ?, .?) (<61,0,F>, ?, .?) (<61,0,G>, ?, .?) (<61,0,H>, H, .= 0) (<61,0,I>, 1 + I, .+ 1) (<61,0,J>, J, .= 0) (<61,0,K>, K, .= 0) (<61,0,N>, 1, .= 1) (<61,0,O>, 0, .= 0) (<61,0,P>, P, .= 0) (<61,0,Q>, Q, .= 0) (<62,0,A>, A, .= 0) (<62,0,B>, ?, .?) (<62,0,C>, ?, .?) (<62,0,F>, ?, .?) (<62,0,G>, ?, .?) (<62,0,H>, H, .= 0) (<62,0,I>, I, .= 0) (<62,0,J>, J, .= 0) (<62,0,K>, K, .= 0) (<62,0,N>, 1, .= 1) (<62,0,O>, 0, .= 0) (<62,0,P>, P, .= 0) (<62,0,Q>, Q, .= 0) (<63,0,A>, A, .= 0) (<63,0,B>, ?, .?) (<63,0,C>, ?, .?) (<63,0,F>, ?, .?) (<63,0,G>, ?, .?) (<63,0,H>, H, .= 0) (<63,0,I>, 1 + I, .+ 1) (<63,0,J>, J, .= 0) (<63,0,K>, K, .= 0) (<63,0,N>, 1, .= 1) (<63,0,O>, 0, .= 0) (<63,0,P>, P, .= 0) (<63,0,Q>, Q, .= 0) * Step 25: SizeboundsProc WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, ?) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, ?) (< 2,0,I>, ?) (< 2,0,J>, ?) (< 2,0,K>, ?) (< 2,0,N>, ?) (< 2,0,O>, ?) (< 2,0,P>, ?) (< 2,0,Q>, ?) (< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, ?) (< 8,0,I>, ?) (< 8,0,J>, ?) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, ?) (< 8,0,Q>, ?) (<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,J>, ?) (<11,0,K>, ?) (<11,0,N>, ?) (<11,0,O>, ?) (<11,0,P>, ?) (<11,0,Q>, ?) (<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,J>, ?) (<12,0,K>, ?) (<12,0,N>, ?) (<12,0,O>, ?) (<12,0,P>, ?) (<12,0,Q>, ?) (<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,J>, ?) (<13,0,K>, ?) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, ?) (<13,0,Q>, ?) (<18,0,A>, ?) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, ?) (<18,0,I>, ?) (<18,0,J>, ?) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, ?) (<18,0,Q>, ?) (<24,0,A>, ?) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, ?) (<24,0,I>, ?) (<24,0,J>, ?) (<24,0,K>, ?) (<24,0,N>, ?) (<24,0,O>, ?) (<24,0,P>, ?) (<24,0,Q>, ?) (<25,0,A>, ?) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, ?) (<25,0,I>, ?) (<25,0,J>, ?) (<25,0,K>, ?) (<25,0,N>, ?) (<25,0,O>, ?) (<25,0,P>, ?) (<25,0,Q>, ?) (<29,0,A>, ?) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, ?) (<29,0,I>, ?) (<29,0,J>, ?) (<29,0,K>, ?) (<29,0,N>, ?) (<29,0,O>, ?) (<29,0,P>, ?) (<29,0,Q>, ?) (<30,0,A>, ?) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, ?) (<30,0,I>, ?) (<30,0,J>, ?) (<30,0,K>, ?) (<30,0,N>, ?) (<30,0,O>, ?) (<30,0,P>, ?) (<30,0,Q>, ?) (<31,0,A>, ?) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, ?) (<31,0,I>, ?) (<31,0,J>, ?) (<31,0,K>, ?) (<31,0,N>, ?) (<31,0,O>, ?) (<31,0,P>, ?) (<31,0,Q>, ?) (<34,0,A>, ?) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, ?) (<34,0,I>, ?) (<34,0,J>, ?) (<34,0,K>, ?) (<34,0,N>, ?) (<34,0,O>, ?) (<34,0,P>, ?) (<34,0,Q>, ?) (<35,0,A>, ?) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, ?) (<35,0,I>, ?) (<35,0,J>, ?) (<35,0,K>, ?) (<35,0,N>, ?) (<35,0,O>, ?) (<35,0,P>, ?) (<35,0,Q>, ?) (<36,0,A>, ?) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, ?) (<36,0,I>, ?) (<36,0,J>, ?) (<36,0,K>, ?) (<36,0,N>, ?) (<36,0,O>, ?) (<36,0,P>, ?) (<36,0,Q>, ?) (<37,0,A>, ?) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, ?) (<37,0,I>, ?) (<37,0,J>, ?) (<37,0,K>, ?) (<37,0,N>, ?) (<37,0,O>, ?) (<37,0,P>, ?) (<37,0,Q>, ?) (<38,0,A>, ?) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, ?) (<38,0,I>, ?) (<38,0,J>, ?) (<38,0,K>, ?) (<38,0,N>, ?) (<38,0,O>, ?) (<38,0,P>, ?) (<38,0,Q>, ?) (<39,0,A>, ?) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, ?) (<39,0,I>, ?) (<39,0,J>, ?) (<39,0,K>, ?) (<39,0,N>, ?) (<39,0,O>, ?) (<39,0,P>, ?) (<39,0,Q>, ?) (<40,0,A>, ?) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, ?) (<40,0,I>, ?) (<40,0,J>, ?) (<40,0,K>, ?) (<40,0,N>, ?) (<40,0,O>, ?) (<40,0,P>, ?) (<40,0,Q>, ?) (<41,0,A>, ?) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, ?) (<41,0,I>, ?) (<41,0,J>, ?) (<41,0,K>, ?) (<41,0,N>, ?) (<41,0,O>, ?) (<41,0,P>, ?) (<41,0,Q>, ?) (<42,0,A>, ?) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, ?) (<42,0,I>, ?) (<42,0,J>, ?) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, ?) (<42,0,Q>, ?) (<43,0,A>, ?) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, ?) (<43,0,I>, ?) (<43,0,J>, ?) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, ?) (<43,0,Q>, ?) (<47,0,A>, ?) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, ?) (<47,0,I>, ?) (<47,0,J>, ?) (<47,0,K>, ?) (<47,0,N>, ?) (<47,0,O>, ?) (<47,0,P>, ?) (<47,0,Q>, ?) (<48,0,A>, ?) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, ?) (<48,0,I>, ?) (<48,0,J>, ?) (<48,0,K>, ?) (<48,0,N>, ?) (<48,0,O>, ?) (<48,0,P>, ?) (<48,0,Q>, ?) (<49,0,A>, ?) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, ?) (<49,0,I>, ?) (<49,0,J>, ?) (<49,0,K>, ?) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, ?) (<49,0,Q>, ?) (<50,0,A>, ?) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, ?) (<50,0,I>, ?) (<50,0,J>, ?) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, ?) (<50,0,Q>, ?) (<51,0,A>, ?) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, ?) (<51,0,I>, ?) (<51,0,J>, ?) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, ?) (<51,0,Q>, ?) (<52,0,A>, ?) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, ?) (<52,0,I>, ?) (<52,0,J>, ?) (<52,0,K>, ?) (<52,0,N>, ?) (<52,0,O>, ?) (<52,0,P>, ?) (<52,0,Q>, ?) (<54,0,A>, ?) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, ?) (<54,0,I>, ?) (<54,0,J>, ?) (<54,0,K>, ?) (<54,0,N>, ?) (<54,0,O>, ?) (<54,0,P>, ?) (<54,0,Q>, ?) (<55,0,A>, ?) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, ?) (<55,0,I>, ?) (<55,0,J>, ?) (<55,0,K>, ?) (<55,0,N>, ?) (<55,0,O>, ?) (<55,0,P>, ?) (<55,0,Q>, ?) (<56,0,A>, ?) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, ?) (<56,0,I>, ?) (<56,0,J>, ?) (<56,0,K>, ?) (<56,0,N>, ?) (<56,0,O>, ?) (<56,0,P>, ?) (<56,0,Q>, ?) (<57,0,A>, ?) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, ?) (<57,0,I>, ?) (<57,0,J>, ?) (<57,0,K>, ?) (<57,0,N>, ?) (<57,0,O>, ?) (<57,0,P>, ?) (<57,0,Q>, ?) (<58,0,A>, ?) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, ?) (<58,0,I>, ?) (<58,0,J>, ?) (<58,0,K>, ?) (<58,0,N>, ?) (<58,0,O>, ?) (<58,0,P>, ?) (<58,0,Q>, ?) (<59,0,A>, ?) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, ?) (<59,0,I>, ?) (<59,0,J>, ?) (<59,0,K>, ?) (<59,0,N>, ?) (<59,0,O>, ?) (<59,0,P>, ?) (<59,0,Q>, ?) (<60,0,A>, ?) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, ?) (<60,0,I>, ?) (<60,0,J>, ?) (<60,0,K>, ?) (<60,0,N>, ?) (<60,0,O>, ?) (<60,0,P>, ?) (<60,0,Q>, ?) (<61,0,A>, ?) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, ?) (<61,0,I>, ?) (<61,0,J>, ?) (<61,0,K>, ?) (<61,0,N>, ?) (<61,0,O>, ?) (<61,0,P>, ?) (<61,0,Q>, ?) (<62,0,A>, ?) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, ?) (<62,0,I>, ?) (<62,0,J>, ?) (<62,0,K>, ?) (<62,0,N>, ?) (<62,0,O>, ?) (<62,0,P>, ?) (<62,0,Q>, ?) (<63,0,A>, ?) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, ?) (<63,0,I>, ?) (<63,0,J>, ?) (<63,0,K>, ?) (<63,0,N>, ?) (<63,0,O>, ?) (<63,0,P>, ?) (<63,0,Q>, ?) + Applied Processor: SizeboundsProc + Details: Sizebounds computed: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) * Step 26: LocationConstraintsProc WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: LocationConstraintsProc + Details: We computed the location constraints 2 : [False] 8 : [A >= 2] 11 : True 12 : True 13 : True 18 : [A >= 2] 24 : True 25 : True 29 : True 30 : True 31 : True 34 : True 35 : True 36 : True 37 : True 38 : True 39 : True 40 : True 41 : True 42 : True 43 : True 47 : True 48 : True 49 : True 50 : True 51 : True 52 : True 54 : True 55 : True 56 : True 57 : True 58 : True 59 : True 60 : True 61 : True 62 : True 63 : True . * Step 27: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (?,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Constant} + Details: We apply a polynomial interpretation of shape constant: p(f1) = 1 p(f16) = 1 p(f2) = 1 p(f27) = 0 p(f35) = 1 p(f38) = 0 The following rules are strictly oriented: [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) The following rules are weakly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 0 = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 0 = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 0 = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) * Step 28: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (?,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Constant} + Details: We apply a polynomial interpretation of shape constant: p(f1) = 1 p(f16) = 1 p(f2) = 1 p(f27) = 0 p(f35) = 1 p(f38) = 0 The following rules are strictly oriented: [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) The following rules are weakly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 0 = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 0 = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) * Step 29: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (?,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = x6 + -1*x7 p(f16) = x6 + -1*x7 p(f2) = x6 + -1*x7 p(f27) = x6 + -1*x7 p(f35) = x6 + -1*x7 p(f38) = x6 + -1*x7 The following rules are strictly oriented: [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I > -1 + H + -1*I = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) The following rules are weakly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= -1 + H + -1*I = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= -1 + H = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= -1 + H + -1*I = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= -1 + H + -1*I = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= -1 + H = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= -2 + H = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= -1 + H + -1*I = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= -1 + H + -1*I = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= -1 + H + -1*I = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= -1 + H = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= -2 + H = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= -1 + H + -1*I = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= -1 + H + -1*I = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) * Step 30: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (?,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = 1 + x8 + -1*x9 p(f16) = x1 + x8 + -1*x9 p(f2) = 1 + x8 + -1*x9 p(f27) = 1 + x8 + -1*x9 p(f35) = 1 + x8 + -1*x9 p(f38) = 1 + x8 + -1*x9 The following rules are strictly oriented: [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > -1 + J = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) The following rules are weakly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = A + J + -1*K >= -1 + A + J + -1*K = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= -1 + J = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = A + J + -1*K >= A + J + -1*K = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) * Step 31: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (?,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = 1 + x8 + -1*x9 p(f16) = 1 + x8 + -1*x9 p(f2) = 1 + x8 + -1*x9 p(f27) = 1 + x8 + -1*x9 p(f35) = 1 + x8 + -1*x9 p(f38) = 1 + x8 + -1*x9 The following rules are strictly oriented: [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > -1 + J = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) The following rules are weakly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= J + -1*K = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= -1 + J = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) * Step 32: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (?,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = 2 + -1*x9 p(f16) = 2 + -1*x9 p(f2) = 2 + -1*x9 p(f27) = 2 + -1*x9 p(f35) = 2 + -1*x9 p(f38) = 2 + -1*x9 The following rules are strictly oriented: [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K > 1 + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K > 0 = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) The following rules are weakly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 1 + -1*K = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 1 + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 1 + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 0 = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 1 + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + -1*K >= 2 + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) * Step 33: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = 2 + x12 + -1*x13 p(f16) = 2 + x12 + -1*x13 p(f2) = 2 + x12 + -1*x13 p(f27) = 2 + x12 + -1*x13 p(f35) = 2 + x12 + -1*x13 p(f38) = 1 + x12 + -1*x13 The following rules are strictly oriented: [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q > 1 + P + -1*Q = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q > 1 + P + -1*Q = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q > 1 + P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q > 1 + P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q > 1 + P + -1*Q = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q > 1 + P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q > 1 + P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) The following rules are weakly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= P = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= P = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= P = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 1 + P + -1*Q = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 1 + P + -1*Q = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= P + -1*Q = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 2 + P + -1*Q >= 2 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) * Step 34: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (2 + P + Q,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = 1 + x12 + -1*x13 p(f16) = 1 + x12 + -1*x13 p(f2) = 1 + x12 + -1*x13 p(f27) = 1 + x12 + -1*x13 p(f35) = 1 + x12 + -1*x13 p(f38) = x12 + -1*x13 The following rules are strictly oriented: [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) The following rules are weakly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= -1 + P = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= -1 + P = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= -1 + P = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= P + -1*Q = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= P + -1*Q = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= P + -1*Q = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= P + -1*Q = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= -1 + P + -1*Q = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) * Step 35: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (?,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = 1 + x12 + -1*x13 p(f16) = 1 + x12 + -1*x13 p(f2) = 1 + x12 + -1*x13 p(f27) = 1 + x12 + -1*x13 p(f35) = 1 + x12 + -1*x13 p(f38) = x12 + -1*x13 The following rules are strictly oriented: [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q > -1 + P + -1*Q = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) The following rules are weakly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= -1 + P = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= -1 + P = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= -1 + P = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= P + -1*Q = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= P + -1*Q = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= P + -1*Q = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= P + -1*Q = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) * Step 36: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (?,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = 1 + x6 + -1*x7 p(f16) = 0 p(f2) = 1 + x6 + -1*x7 p(f27) = 1 + x6 + -1*x7 p(f35) = x6 + -1*x7 p(f38) = x6 + -1*x7 The following rules are strictly oriented: [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > 0 = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > -1 + H = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > H + -1*I = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > H + -1*I = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > H + -1*I = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > -1 + H = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > -1 + H = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > H + -1*I = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > H + -1*I = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > H + -1*I = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > H + -1*I = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > -1 + H = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > -1 + H = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > H + -1*I = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > H + -1*I = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > H + -1*I = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I > H + -1*I = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) The following rules are weakly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I >= 1 + H + -1*I = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I >= 1 + H + -1*I = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I >= 1 + H + -1*I = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I >= 1 + H + -1*I = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I >= 1 + H + -1*I = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I >= 1 + H + -1*I = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I >= 1 + H + -1*I = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = H + -1*I >= H + -1*I = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) * Step 37: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (?,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = 1 + x12 + -1*x13 p(f16) = 1 + x12 + -1*x13 p(f2) = 1 + x12 + -1*x13 p(f27) = 1 + x12 + -1*x13 p(f35) = 1 + x12 + -1*x13 p(f38) = x12 + -1*x13 The following rules are strictly oriented: [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q > -1 + P + -1*Q = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q > P + -1*Q = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) The following rules are weakly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= -1 + P = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= -1 + P = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= -1 + P = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= P + -1*Q = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= P + -1*Q = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= P + -1*Q = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = P + -1*Q >= P + -1*Q = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + P + -1*Q >= 1 + P + -1*Q = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) * Step 38: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (?,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = 1 + x8 + -1*x9 p(f16) = 1 + x8 + -1*x9 p(f2) = 1 + x8 + -1*x9 p(f27) = 1 + x8 + -1*x9 p(f35) = 1 + x8 + -1*x9 p(f38) = 1 + x8 + -1*x9 The following rules are strictly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > -1 + J = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) The following rules are weakly oriented: [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= -1 + J = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) * Step 39: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (?,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = 1 + x8 + -1*x9 p(f16) = 1 + x8 + -1*x9 p(f2) = 1 + x8 + -1*x9 p(f27) = 1 + x8 + -1*x9 p(f35) = 1 + x8 + -1*x9 p(f38) = 1 + x8 + -1*x9 The following rules are strictly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > -1 + J = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) The following rules are weakly oriented: [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= -1 + J = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) * Step 40: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (1 + J + K,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (?,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = 1 + x8 + -1*x9 p(f16) = 1 + x8 + -1*x9 p(f2) = 1 + x8 + -1*x9 p(f27) = 1 + x8 + -1*x9 p(f35) = 1 + x8 + -1*x9 p(f38) = 1 + x8 + -1*x9 The following rules are strictly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > -1 + J = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) The following rules are weakly oriented: [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= -1 + J = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) * Step 41: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (1 + J + K,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (1 + J + K,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (?,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = 1 + x8 + -1*x9 p(f16) = 1 + x8 + -1*x9 p(f2) = 1 + x8 + -1*x9 p(f27) = 1 + x8 + -1*x9 p(f35) = 1 + x8 + -1*x9 p(f38) = 1 + x8 + -1*x9 The following rules are strictly oriented: [J >= K] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > -1 + J = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > J + -1*K = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K > -1 + J = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) The following rules are weakly oriented: [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] ==> f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [A = 1 && H >= I] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && H >= 1 && I = 1] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && H >= 1 + I] ==> f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 + J + -1*K >= 1 + J + -1*K = f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) * Step 42: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 11. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && 0 >= K && J >= K && Q = 1] (1 + J + K,1) 12. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [J >= K + 4*X && K + 5*X >= 1 + J && J >= K && K >= 2 && Q = 1] (1 + J + K,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{11,12,13,47,48,49,50,51},11->{11,13},12->{12},13->{12,50},18->{38,39,40,41,42,43},24->{2 ,52},25->{},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{11,12,13,47,48,49,50,51},39->{38,39,42 ,43},40->{11,12,13,47,48,49,50,51},41->{40,41},42->{11,12,13,47,48,49,50,51},43->{40,41},47->{47,49,50,51} ,48->{48,50,51},49->{48,50,51},50->{50,51},51->{38,39,40,41,42,43},52->{52},54->{11,12,13,47,48,49,50,51} ,55->{38,39,42,43},56->{11,12,13,47,48,49,50,51},57->{40,41},58->{11,12,13,47,48,49,50,51},59->{40,41} ,60->{11,12,13,47,48,49,50,51},61->{38,39,42,43},62->{11,12,13,47,48,49,50,51},63->{40,41}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<11,0,A>, A) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,F>, ?) (<11,0,G>, ?) (<11,0,H>, H) (<11,0,I>, 1 + H + I) (<11,0,J>, J) (<11,0,K>, 1 + J) (<11,0,N>, 1) (<11,0,O>, 0) (<11,0,P>, P) (<11,0,Q>, 1) (<12,0,A>, A) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,F>, ?) (<12,0,G>, ?) (<12,0,H>, H) (<12,0,I>, 1 + H + I) (<12,0,J>, J) (<12,0,K>, 1 + J) (<12,0,N>, 1) (<12,0,O>, 0) (<12,0,P>, P) (<12,0,Q>, 1) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) + Applied Processor: CombineProcessor [2,8,11,12,13,18,24,25,29,30,31,34,35,36,37,38,39,40,41,42,43,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63] + Details: We combined rules [11,12] to obtain the rule 64 . * Step 43: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 29. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && 0 >= 2 + A && I >= 1 + H] (1,2) 30. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && A >= 0 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,47,48,49,50,51,64},13->{13,47,48,49,50,51,64},18->{38,39,40,41,42,43},24->{2,52},25->{38 ,39,40,41,42,43},29->{},30->{},31->{},34->{8,18},35->{},36->{},37->{},38->{13,47,48,49,50,51,64},39->{38,39 ,40,41,42,43},40->{13,47,48,49,50,51,64},41->{38,39,40,41,42,43},42->{13,47,48,49,50,51,64},43->{38,39,40,41 ,42,43},47->{13,47,48,49,50,51,64},48->{13,47,48,49,50,51,64},49->{13,47,48,49,50,51,64},50->{13,47,48,49,50 ,51,64},51->{38,39,40,41,42,43},52->{2,52},54->{13,47,48,49,50,51,64},55->{38,39,40,41,42,43},56->{13,47,48 ,49,50,51,64},57->{38,39,40,41,42,43},58->{13,47,48,49,50,51,64},59->{38,39,40,41,42,43},60->{13,47,48,49,50 ,51,64},61->{38,39,40,41,42,43},62->{13,47,48,49,50,51,64},63->{38,39,40,41,42,43},64->{13,47,48,49,50,51 ,64}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<29,0,A>, A) (<29,0,B>, ?) (<29,0,C>, ?) (<29,0,F>, ?) (<29,0,G>, ?) (<29,0,H>, H) (<29,0,I>, I) (<29,0,J>, J) (<29,0,K>, K) (<29,0,N>, N) (<29,0,O>, O) (<29,0,P>, P) (<29,0,Q>, Q) (<30,0,A>, A) (<30,0,B>, ?) (<30,0,C>, ?) (<30,0,F>, ?) (<30,0,G>, ?) (<30,0,H>, H) (<30,0,I>, I) (<30,0,J>, J) (<30,0,K>, K) (<30,0,N>, N) (<30,0,O>, O) (<30,0,P>, P) (<30,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) + Applied Processor: CombineProcessor [2,8,13,18,24,25,29,30,31,34,35,36,37,38,39,40,41,42,43,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64] + Details: We combined rules [29,30] to obtain the rule 65 . * Step 44: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 31. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [0 >= A && I >= 1 + H && 1 + A = 0] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 37. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && I >= 1 + H && 1 + A = 0] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 65. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(0 >= A || 0 >= A) (2,4) && (0 >= A || 0 >= 2 + A) && (0 >= A || I >= 1 + H) && (A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,47,48,49,50,51,64},13->{13,47,48,49,50,51,64},18->{38,39,40,41,42,43},24->{2,52},25->{38 ,39,40,41,42,43},31->{},34->{8,18},35->{},36->{},37->{},38->{13,47,48,49,50,51,64},39->{38,39,40,41,42,43} ,40->{13,47,48,49,50,51,64},41->{38,39,40,41,42,43},42->{13,47,48,49,50,51,64},43->{38,39,40,41,42,43} ,47->{13,47,48,49,50,51,64},48->{13,47,48,49,50,51,64},49->{13,47,48,49,50,51,64},50->{13,47,48,49,50,51,64} ,51->{38,39,40,41,42,43},52->{2,52},54->{13,47,48,49,50,51,64},55->{38,39,40,41,42,43},56->{13,47,48,49,50 ,51,64},57->{38,39,40,41,42,43},58->{13,47,48,49,50,51,64},59->{38,39,40,41,42,43},60->{13,47,48,49,50,51 ,64},61->{38,39,40,41,42,43},62->{13,47,48,49,50,51,64},63->{38,39,40,41,42,43},64->{13,47,48,49,50,51,64} ,65->{}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<31,0,A>, 1) (<31,0,B>, ?) (<31,0,C>, ?) (<31,0,F>, ?) (<31,0,G>, ?) (<31,0,H>, H) (<31,0,I>, I) (<31,0,J>, J) (<31,0,K>, K) (<31,0,N>, N) (<31,0,O>, O) (<31,0,P>, P) (<31,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<37,0,A>, 1) (<37,0,B>, ?) (<37,0,C>, ?) (<37,0,F>, ?) (<37,0,G>, ?) (<37,0,H>, H) (<37,0,I>, I) (<37,0,J>, J) (<37,0,K>, K) (<37,0,N>, N) (<37,0,O>, O) (<37,0,P>, P) (<37,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<65,0,A>, A) (<65,0,B>, ?) (<65,0,C>, ?) (<65,0,F>, ?) (<65,0,G>, ?) (<65,0,H>, H) (<65,0,I>, I) (<65,0,J>, J) (<65,0,K>, K) (<65,0,N>, N) (<65,0,O>, O) (<65,0,P>, P) (<65,0,Q>, Q) + Applied Processor: CombineProcessor [2,8,13,18,24,25,31,34,35,36,37,38,39,40,41,42,43,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65] + Details: We combined rules [31,37] to obtain the rule 66 . * Step 45: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 35. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && 0 >= 2 + A && I >= 1 + H] (1,2) 36. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A >= 2 && A >= 0 && I >= 1 + H] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 65. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(0 >= A || 0 >= A) (2,4) && (0 >= A || 0 >= 2 + A) && (0 >= A || I >= 1 + H) && (A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,47,48,49,50,51,64},13->{13,47,48,49,50,51,64},18->{38,39,40,41,42,43},24->{2,52},25->{38 ,39,40,41,42,43},34->{8,18},35->{},36->{},38->{13,47,48,49,50,51,64},39->{38,39,40,41,42,43},40->{13,47,48 ,49,50,51,64},41->{38,39,40,41,42,43},42->{13,47,48,49,50,51,64},43->{38,39,40,41,42,43},47->{13,47,48,49,50 ,51,64},48->{13,47,48,49,50,51,64},49->{13,47,48,49,50,51,64},50->{13,47,48,49,50,51,64},51->{38,39,40,41,42 ,43},52->{2,52},54->{13,47,48,49,50,51,64},55->{38,39,40,41,42,43},56->{13,47,48,49,50,51,64},57->{38,39,40 ,41,42,43},58->{13,47,48,49,50,51,64},59->{38,39,40,41,42,43},60->{13,47,48,49,50,51,64},61->{38,39,40,41,42 ,43},62->{13,47,48,49,50,51,64},63->{38,39,40,41,42,43},64->{13,47,48,49,50,51,64},65->{},66->{}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<35,0,A>, A) (<35,0,B>, ?) (<35,0,C>, ?) (<35,0,F>, ?) (<35,0,G>, ?) (<35,0,H>, H) (<35,0,I>, I) (<35,0,J>, J) (<35,0,K>, K) (<35,0,N>, N) (<35,0,O>, O) (<35,0,P>, P) (<35,0,Q>, Q) (<36,0,A>, A) (<36,0,B>, ?) (<36,0,C>, ?) (<36,0,F>, ?) (<36,0,G>, ?) (<36,0,H>, H) (<36,0,I>, I) (<36,0,J>, J) (<36,0,K>, K) (<36,0,N>, N) (<36,0,O>, O) (<36,0,P>, P) (<36,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<65,0,A>, A) (<65,0,B>, ?) (<65,0,C>, ?) (<65,0,F>, ?) (<65,0,G>, ?) (<65,0,H>, H) (<65,0,I>, I) (<65,0,J>, J) (<65,0,K>, K) (<65,0,N>, N) (<65,0,O>, O) (<65,0,P>, P) (<65,0,Q>, Q) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) + Applied Processor: CombineProcessor [2,8,13,18,24,25,34,35,36,38,39,40,41,42,43,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66] + Details: We combined rules [35,36] to obtain the rule 67 . * Step 46: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 38. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 40. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 65. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(0 >= A || 0 >= A) (2,4) && (0 >= A || 0 >= 2 + A) && (0 >= A || I >= 1 + H) && (A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 67. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2) (2,4) && (A >= 2 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H) && (A >= 0 || A >= 2) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,47,48,49,50,51,64},13->{13,47,48,49,50,51,64},18->{38,39,40,41,42,43},24->{2,52},25->{38 ,39,40,41,42,43},34->{8,18},38->{13,47,48,49,50,51,64},39->{38,39,40,41,42,43},40->{13,47,48,49,50,51,64} ,41->{38,39,40,41,42,43},42->{13,47,48,49,50,51,64},43->{38,39,40,41,42,43},47->{13,47,48,49,50,51,64} ,48->{13,47,48,49,50,51,64},49->{13,47,48,49,50,51,64},50->{13,47,48,49,50,51,64},51->{38,39,40,41,42,43} ,52->{2,52},54->{13,47,48,49,50,51,64},55->{38,39,40,41,42,43},56->{13,47,48,49,50,51,64},57->{38,39,40,41 ,42,43},58->{13,47,48,49,50,51,64},59->{38,39,40,41,42,43},60->{13,47,48,49,50,51,64},61->{38,39,40,41,42 ,43},62->{13,47,48,49,50,51,64},63->{38,39,40,41,42,43},64->{13,47,48,49,50,51,64},65->{},66->{},67->{}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<38,0,A>, A) (<38,0,B>, ?) (<38,0,C>, ?) (<38,0,F>, ?) (<38,0,G>, ?) (<38,0,H>, H) (<38,0,I>, 0) (<38,0,J>, J) (<38,0,K>, ?) (<38,0,N>, 1) (<38,0,O>, 0) (<38,0,P>, P) (<38,0,Q>, ?) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<40,0,A>, A) (<40,0,B>, ?) (<40,0,C>, ?) (<40,0,F>, ?) (<40,0,G>, ?) (<40,0,H>, H) (<40,0,I>, H) (<40,0,J>, J) (<40,0,K>, ?) (<40,0,N>, 1) (<40,0,O>, 0) (<40,0,P>, P) (<40,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<65,0,A>, A) (<65,0,B>, ?) (<65,0,C>, ?) (<65,0,F>, ?) (<65,0,G>, ?) (<65,0,H>, H) (<65,0,I>, I) (<65,0,J>, J) (<65,0,K>, K) (<65,0,N>, N) (<65,0,O>, O) (<65,0,P>, P) (<65,0,Q>, Q) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<67,0,A>, A) (<67,0,B>, ?) (<67,0,C>, ?) (<67,0,F>, ?) (<67,0,G>, ?) (<67,0,H>, H) (<67,0,I>, I) (<67,0,J>, J) (<67,0,K>, K) (<67,0,N>, N) (<67,0,O>, O) (<67,0,P>, P) (<67,0,Q>, Q) + Applied Processor: CombineProcessor [2,8,13,18,24,25,34,38,39,40,41,42,43,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67] + Details: We combined rules [38,40] to obtain the rule 68 . * Step 47: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 39. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 41. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 65. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(0 >= A || 0 >= A) (2,4) && (0 >= A || 0 >= 2 + A) && (0 >= A || I >= 1 + H) && (A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 67. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2) (2,4) && (A >= 2 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H) && (A >= 0 || A >= 2) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,47,48,49,50,51,64},13->{13,47,48,49,50,51,64},18->{39,41,42,43,68},24->{2,52},25->{39,41 ,42,43,68},34->{8,18},39->{39,41,42,43,68},41->{39,41,42,43,68},42->{13,47,48,49,50,51,64},43->{39,41,42,43 ,68},47->{13,47,48,49,50,51,64},48->{13,47,48,49,50,51,64},49->{13,47,48,49,50,51,64},50->{13,47,48,49,50,51 ,64},51->{39,41,42,43,68},52->{2,52},54->{13,47,48,49,50,51,64},55->{39,41,42,43,68},56->{13,47,48,49,50,51 ,64},57->{39,41,42,43,68},58->{13,47,48,49,50,51,64},59->{39,41,42,43,68},60->{13,47,48,49,50,51,64},61->{39 ,41,42,43,68},62->{13,47,48,49,50,51,64},63->{39,41,42,43,68},64->{13,47,48,49,50,51,64},65->{},66->{} ,67->{},68->{13,47,48,49,50,51,64}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<39,0,A>, A) (<39,0,B>, ?) (<39,0,C>, ?) (<39,0,F>, ?) (<39,0,G>, ?) (<39,0,H>, H) (<39,0,I>, 1) (<39,0,J>, J) (<39,0,K>, ?) (<39,0,N>, 1) (<39,0,O>, 0) (<39,0,P>, P) (<39,0,Q>, ?) (<41,0,A>, A) (<41,0,B>, ?) (<41,0,C>, ?) (<41,0,F>, ?) (<41,0,G>, ?) (<41,0,H>, H) (<41,0,I>, 1 + H) (<41,0,J>, J) (<41,0,K>, ?) (<41,0,N>, 1) (<41,0,O>, 0) (<41,0,P>, P) (<41,0,Q>, ?) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<65,0,A>, A) (<65,0,B>, ?) (<65,0,C>, ?) (<65,0,F>, ?) (<65,0,G>, ?) (<65,0,H>, H) (<65,0,I>, I) (<65,0,J>, J) (<65,0,K>, K) (<65,0,N>, N) (<65,0,O>, O) (<65,0,P>, P) (<65,0,Q>, Q) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<67,0,A>, A) (<67,0,B>, ?) (<67,0,C>, ?) (<67,0,F>, ?) (<67,0,G>, ?) (<67,0,H>, H) (<67,0,I>, I) (<67,0,J>, J) (<67,0,K>, K) (<67,0,N>, N) (<67,0,O>, O) (<67,0,P>, P) (<67,0,Q>, Q) (<68,0,A>, A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, H) (<68,0,J>, J) (<68,0,K>, ?) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) + Applied Processor: CombineProcessor [2,8,13,18,24,25,34,39,41,42,43,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68] + Details: We combined rules [39,41] to obtain the rule 69 . * Step 48: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 47. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && 0 >= K] (2 + K,2) 48. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K >= 2] (1 + J + K,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 65. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(0 >= A || 0 >= A) (2,4) && (0 >= A || 0 >= 2 + A) && (0 >= A || I >= 1 + H) && (A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 67. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2) (2,4) && (A >= 2 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H) && (A >= 0 || A >= 2) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 69. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*H + 2*I,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,47,48,49,50,51,64},13->{13,47,48,49,50,51,64},18->{42,43,68,69},24->{2,52},25->{42,43,68 ,69},34->{8,18},42->{13,47,48,49,50,51,64},43->{42,43,68,69},47->{13,47,48,49,50,51,64},48->{13,47,48,49,50 ,51,64},49->{13,47,48,49,50,51,64},50->{13,47,48,49,50,51,64},51->{42,43,68,69},52->{2,52},54->{13,47,48,49 ,50,51,64},55->{42,43,68,69},56->{13,47,48,49,50,51,64},57->{42,43,68,69},58->{13,47,48,49,50,51,64},59->{42 ,43,68,69},60->{13,47,48,49,50,51,64},61->{42,43,68,69},62->{13,47,48,49,50,51,64},63->{42,43,68,69},64->{13 ,47,48,49,50,51,64},65->{},66->{},67->{},68->{13,47,48,49,50,51,64},69->{42,43,68,69}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<47,0,A>, A) (<47,0,B>, ?) (<47,0,C>, ?) (<47,0,F>, ?) (<47,0,G>, ?) (<47,0,H>, H) (<47,0,I>, 1 + H + I) (<47,0,J>, J) (<47,0,K>, 1 + J) (<47,0,N>, 1) (<47,0,O>, 0) (<47,0,P>, P) (<47,0,Q>, ?) (<48,0,A>, A) (<48,0,B>, ?) (<48,0,C>, ?) (<48,0,F>, ?) (<48,0,G>, ?) (<48,0,H>, H) (<48,0,I>, 1 + H + I) (<48,0,J>, J) (<48,0,K>, 1 + J) (<48,0,N>, 1) (<48,0,O>, 0) (<48,0,P>, P) (<48,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<65,0,A>, A) (<65,0,B>, ?) (<65,0,C>, ?) (<65,0,F>, ?) (<65,0,G>, ?) (<65,0,H>, H) (<65,0,I>, I) (<65,0,J>, J) (<65,0,K>, K) (<65,0,N>, N) (<65,0,O>, O) (<65,0,P>, P) (<65,0,Q>, Q) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<67,0,A>, A) (<67,0,B>, ?) (<67,0,C>, ?) (<67,0,F>, ?) (<67,0,G>, ?) (<67,0,H>, H) (<67,0,I>, I) (<67,0,J>, J) (<67,0,K>, K) (<67,0,N>, N) (<67,0,O>, O) (<67,0,P>, P) (<67,0,Q>, Q) (<68,0,A>, A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, H) (<68,0,J>, J) (<68,0,K>, ?) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1 + H) (<69,0,J>, J) (<69,0,K>, ?) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) + Applied Processor: CombineProcessor [2,8,13,18,24,25,34,42,43,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69] + Details: We combined rules [47,48] to obtain the rule 70 . * Step 49: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 54. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 56. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 65. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(0 >= A || 0 >= A) (2,4) && (0 >= A || 0 >= 2 + A) && (0 >= A || I >= 1 + H) && (A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 67. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2) (2,4) && (A >= 2 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H) && (A >= 0 || A >= 2) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 69. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*H + 2*I,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 70. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [(Q >= 2 || Q >= 2) (3 + J + 2*K,4) && (Q >= 2 || J >= K) && (Q >= 2 || Q >= 2*F1$) && (Q >= 2 || 3*F1$ >= 1 + Q) && (Q >= 2 || 0 >= K) && (J >= K || Q >= 2) && (J >= K || J >= K) && (J >= K || Q >= 2*F1$) && (J >= K || 3*F1$ >= 1 + Q) && (J >= K || 0 >= K) && (Q >= 2*F1$ || Q >= 2) && (Q >= 2*F1$ || J >= K) && (Q >= 2*F1$ || Q >= 2*F1$) && (Q >= 2*F1$ || 3*F1$ >= 1 + Q) && (Q >= 2*F1$ || 0 >= K) && (3*F1$ >= 1 + Q || Q >= 2) && (3*F1$ >= 1 + Q || J >= K) && (3*F1$ >= 1 + Q || Q >= 2*F1$) && (3*F1$ >= 1 + Q || 3*F1$ >= 1 + Q) && (3*F1$ >= 1 + Q || 0 >= K) && (K >= 2 || Q >= 2) && (K >= 2 || J >= K) && (K >= 2 || Q >= 2*F1$) && (K >= 2 || 3*F1$ >= 1 + Q) && (K >= 2 || 0 >= K)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,49,50,51,64,70},13->{13,49,50,51,64,70},18->{42,43,68,69},24->{2,52},25->{42,43,68,69} ,34->{8,18},42->{13,49,50,51,64,70},43->{42,43,68,69},49->{13,49,50,51,64,70},50->{13,49,50,51,64,70} ,51->{42,43,68,69},52->{2,52},54->{13,49,50,51,64,70},55->{42,43,68,69},56->{13,49,50,51,64,70},57->{42,43 ,68,69},58->{13,49,50,51,64,70},59->{42,43,68,69},60->{13,49,50,51,64,70},61->{42,43,68,69},62->{13,49,50,51 ,64,70},63->{42,43,68,69},64->{13,49,50,51,64,70},65->{},66->{},67->{},68->{13,49,50,51,64,70},69->{42,43,68 ,69},70->{13,49,50,51,64,70}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<54,0,A>, A) (<54,0,B>, ?) (<54,0,C>, ?) (<54,0,F>, ?) (<54,0,G>, ?) (<54,0,H>, H) (<54,0,I>, I) (<54,0,J>, J) (<54,0,K>, K) (<54,0,N>, 1) (<54,0,O>, 0) (<54,0,P>, P) (<54,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<56,0,A>, A) (<56,0,B>, ?) (<56,0,C>, ?) (<56,0,F>, ?) (<56,0,G>, ?) (<56,0,H>, H) (<56,0,I>, I) (<56,0,J>, J) (<56,0,K>, K) (<56,0,N>, 1) (<56,0,O>, 0) (<56,0,P>, P) (<56,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<65,0,A>, A) (<65,0,B>, ?) (<65,0,C>, ?) (<65,0,F>, ?) (<65,0,G>, ?) (<65,0,H>, H) (<65,0,I>, I) (<65,0,J>, J) (<65,0,K>, K) (<65,0,N>, N) (<65,0,O>, O) (<65,0,P>, P) (<65,0,Q>, Q) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<67,0,A>, A) (<67,0,B>, ?) (<67,0,C>, ?) (<67,0,F>, ?) (<67,0,G>, ?) (<67,0,H>, H) (<67,0,I>, I) (<67,0,J>, J) (<67,0,K>, K) (<67,0,N>, N) (<67,0,O>, O) (<67,0,P>, P) (<67,0,Q>, Q) (<68,0,A>, A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, H) (<68,0,J>, J) (<68,0,K>, ?) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1 + H) (<69,0,J>, J) (<69,0,K>, ?) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) (<70,0,A>, A) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, H) (<70,0,I>, 1 + H + I) (<70,0,J>, J) (<70,0,K>, 1 + J) (<70,0,N>, 1) (<70,0,O>, 0) (<70,0,P>, P) (<70,0,Q>, ?) + Applied Processor: CombineProcessor [2,8,13,18,24,25,34,42,43,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70] + Details: We combined rules [54,56] to obtain the rule 71 . * Step 50: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 55. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 57. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [0 >= A && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 65. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(0 >= A || 0 >= A) (2,4) && (0 >= A || 0 >= 2 + A) && (0 >= A || I >= 1 + H) && (A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 67. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2) (2,4) && (A >= 2 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H) && (A >= 0 || A >= 2) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 69. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*H + 2*I,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 70. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [(Q >= 2 || Q >= 2) (3 + J + 2*K,4) && (Q >= 2 || J >= K) && (Q >= 2 || Q >= 2*F1$) && (Q >= 2 || 3*F1$ >= 1 + Q) && (Q >= 2 || 0 >= K) && (J >= K || Q >= 2) && (J >= K || J >= K) && (J >= K || Q >= 2*F1$) && (J >= K || 3*F1$ >= 1 + Q) && (J >= K || 0 >= K) && (Q >= 2*F1$ || Q >= 2) && (Q >= 2*F1$ || J >= K) && (Q >= 2*F1$ || Q >= 2*F1$) && (Q >= 2*F1$ || 3*F1$ >= 1 + Q) && (Q >= 2*F1$ || 0 >= K) && (3*F1$ >= 1 + Q || Q >= 2) && (3*F1$ >= 1 + Q || J >= K) && (3*F1$ >= 1 + Q || Q >= 2*F1$) && (3*F1$ >= 1 + Q || 3*F1$ >= 1 + Q) && (3*F1$ >= 1 + Q || 0 >= K) && (K >= 2 || Q >= 2) && (K >= 2 || J >= K) && (K >= 2 || Q >= 2*F1$) && (K >= 2 || 3*F1$ >= 1 + Q) && (K >= 2 || 0 >= K)] 71. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(0 >= A || 0 >= A) (2,6) && (0 >= A || 0 >= I) && (0 >= A || H >= I) && (0 >= A || P >= 2*X$) && (0 >= A || 3*X$ >= 1 + P) && (0 >= A || 1 + X$ >= Q) && (I >= 2 || 0 >= A) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= A) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,49,50,51,64,70},13->{13,49,50,51,64,70},18->{42,43,68,69},24->{2,52},25->{42,43,68,69} ,34->{8,18},42->{13,49,50,51,64,70},43->{42,43,68,69},49->{13,49,50,51,64,70},50->{13,49,50,51,64,70} ,51->{42,43,68,69},52->{2,52},55->{42,43,68,69},57->{42,43,68,69},58->{13,49,50,51,64,70},59->{42,43,68,69} ,60->{13,49,50,51,64,70},61->{42,43,68,69},62->{13,49,50,51,64,70},63->{42,43,68,69},64->{13,49,50,51,64,70} ,65->{},66->{},67->{},68->{13,49,50,51,64,70},69->{42,43,68,69},70->{13,49,50,51,64,70},71->{13,49,50,51,64 ,70}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<55,0,A>, A) (<55,0,B>, ?) (<55,0,C>, ?) (<55,0,F>, ?) (<55,0,G>, ?) (<55,0,H>, H) (<55,0,I>, 1 + I) (<55,0,J>, J) (<55,0,K>, K) (<55,0,N>, 1) (<55,0,O>, 0) (<55,0,P>, P) (<55,0,Q>, Q) (<57,0,A>, A) (<57,0,B>, ?) (<57,0,C>, ?) (<57,0,F>, ?) (<57,0,G>, ?) (<57,0,H>, H) (<57,0,I>, 1 + I) (<57,0,J>, J) (<57,0,K>, K) (<57,0,N>, 1) (<57,0,O>, 0) (<57,0,P>, P) (<57,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<65,0,A>, A) (<65,0,B>, ?) (<65,0,C>, ?) (<65,0,F>, ?) (<65,0,G>, ?) (<65,0,H>, H) (<65,0,I>, I) (<65,0,J>, J) (<65,0,K>, K) (<65,0,N>, N) (<65,0,O>, O) (<65,0,P>, P) (<65,0,Q>, Q) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<67,0,A>, A) (<67,0,B>, ?) (<67,0,C>, ?) (<67,0,F>, ?) (<67,0,G>, ?) (<67,0,H>, H) (<67,0,I>, I) (<67,0,J>, J) (<67,0,K>, K) (<67,0,N>, N) (<67,0,O>, O) (<67,0,P>, P) (<67,0,Q>, Q) (<68,0,A>, A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, H) (<68,0,J>, J) (<68,0,K>, ?) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1 + H) (<69,0,J>, J) (<69,0,K>, ?) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) (<70,0,A>, A) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, H) (<70,0,I>, 1 + H + I) (<70,0,J>, J) (<70,0,K>, 1 + J) (<70,0,N>, 1) (<70,0,O>, 0) (<70,0,P>, P) (<70,0,Q>, ?) (<71,0,A>, A) (<71,0,B>, ?) (<71,0,C>, ?) (<71,0,F>, ?) (<71,0,G>, ?) (<71,0,H>, H) (<71,0,I>, I) (<71,0,J>, J) (<71,0,K>, K) (<71,0,N>, 1) (<71,0,O>, 0) (<71,0,P>, P) (<71,0,Q>, Q) + Applied Processor: CombineProcessor [2,8,13,18,24,25,34,42,43,49,50,51,52,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71] + Details: We combined rules [55,57] to obtain the rule 72 . * Step 51: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 60. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 62. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 65. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(0 >= A || 0 >= A) (2,4) && (0 >= A || 0 >= 2 + A) && (0 >= A || I >= 1 + H) && (A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 67. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2) (2,4) && (A >= 2 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H) && (A >= 0 || A >= 2) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 69. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*H + 2*I,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 70. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [(Q >= 2 || Q >= 2) (3 + J + 2*K,4) && (Q >= 2 || J >= K) && (Q >= 2 || Q >= 2*F1$) && (Q >= 2 || 3*F1$ >= 1 + Q) && (Q >= 2 || 0 >= K) && (J >= K || Q >= 2) && (J >= K || J >= K) && (J >= K || Q >= 2*F1$) && (J >= K || 3*F1$ >= 1 + Q) && (J >= K || 0 >= K) && (Q >= 2*F1$ || Q >= 2) && (Q >= 2*F1$ || J >= K) && (Q >= 2*F1$ || Q >= 2*F1$) && (Q >= 2*F1$ || 3*F1$ >= 1 + Q) && (Q >= 2*F1$ || 0 >= K) && (3*F1$ >= 1 + Q || Q >= 2) && (3*F1$ >= 1 + Q || J >= K) && (3*F1$ >= 1 + Q || Q >= 2*F1$) && (3*F1$ >= 1 + Q || 3*F1$ >= 1 + Q) && (3*F1$ >= 1 + Q || 0 >= K) && (K >= 2 || Q >= 2) && (K >= 2 || J >= K) && (K >= 2 || Q >= 2*F1$) && (K >= 2 || 3*F1$ >= 1 + Q) && (K >= 2 || 0 >= K)] 71. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(0 >= A || 0 >= A) (2,6) && (0 >= A || 0 >= I) && (0 >= A || H >= I) && (0 >= A || P >= 2*X$) && (0 >= A || 3*X$ >= 1 + P) && (0 >= A || 1 + X$ >= Q) && (I >= 2 || 0 >= A) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= A) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 72. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [(0 >= A || 0 >= A) (2,6) && (0 >= A || 0 >= I) && (0 >= A || H >= I) && (0 >= A || P >= 2*X$) && (0 >= A || 3*X$ >= 1 + P) && (0 >= A || Q >= 2 + X$) && (I >= 2 || 0 >= A) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= A) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,49,50,51,64,70},13->{13,49,50,51,64,70},18->{42,43,68,69},24->{2,52},25->{42,43,68,69} ,34->{8,18},42->{13,49,50,51,64,70},43->{42,43,68,69},49->{13,49,50,51,64,70},50->{13,49,50,51,64,70} ,51->{42,43,68,69},52->{2,52},58->{13,49,50,51,64,70},59->{42,43,68,69},60->{13,49,50,51,64,70},61->{42,43 ,68,69},62->{13,49,50,51,64,70},63->{42,43,68,69},64->{13,49,50,51,64,70},65->{},66->{},67->{},68->{13,49,50 ,51,64,70},69->{42,43,68,69},70->{13,49,50,51,64,70},71->{13,49,50,51,64,70},72->{42,43,68,69}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<60,0,A>, A) (<60,0,B>, ?) (<60,0,C>, ?) (<60,0,F>, ?) (<60,0,G>, ?) (<60,0,H>, H) (<60,0,I>, I) (<60,0,J>, J) (<60,0,K>, K) (<60,0,N>, 1) (<60,0,O>, 0) (<60,0,P>, P) (<60,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<62,0,A>, A) (<62,0,B>, ?) (<62,0,C>, ?) (<62,0,F>, ?) (<62,0,G>, ?) (<62,0,H>, H) (<62,0,I>, I) (<62,0,J>, J) (<62,0,K>, K) (<62,0,N>, 1) (<62,0,O>, 0) (<62,0,P>, P) (<62,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<65,0,A>, A) (<65,0,B>, ?) (<65,0,C>, ?) (<65,0,F>, ?) (<65,0,G>, ?) (<65,0,H>, H) (<65,0,I>, I) (<65,0,J>, J) (<65,0,K>, K) (<65,0,N>, N) (<65,0,O>, O) (<65,0,P>, P) (<65,0,Q>, Q) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<67,0,A>, A) (<67,0,B>, ?) (<67,0,C>, ?) (<67,0,F>, ?) (<67,0,G>, ?) (<67,0,H>, H) (<67,0,I>, I) (<67,0,J>, J) (<67,0,K>, K) (<67,0,N>, N) (<67,0,O>, O) (<67,0,P>, P) (<67,0,Q>, Q) (<68,0,A>, A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, H) (<68,0,J>, J) (<68,0,K>, ?) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1 + H) (<69,0,J>, J) (<69,0,K>, ?) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) (<70,0,A>, A) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, H) (<70,0,I>, 1 + H + I) (<70,0,J>, J) (<70,0,K>, 1 + J) (<70,0,N>, 1) (<70,0,O>, 0) (<70,0,P>, P) (<70,0,Q>, ?) (<71,0,A>, A) (<71,0,B>, ?) (<71,0,C>, ?) (<71,0,F>, ?) (<71,0,G>, ?) (<71,0,H>, H) (<71,0,I>, I) (<71,0,J>, J) (<71,0,K>, K) (<71,0,N>, 1) (<71,0,O>, 0) (<71,0,P>, P) (<71,0,Q>, Q) (<72,0,A>, A) (<72,0,B>, ?) (<72,0,C>, ?) (<72,0,F>, ?) (<72,0,G>, ?) (<72,0,H>, H) (<72,0,I>, 1 + I) (<72,0,J>, J) (<72,0,K>, K) (<72,0,N>, 1) (<72,0,O>, 0) (<72,0,P>, P) (<72,0,Q>, Q) + Applied Processor: CombineProcessor [2,8,13,18,24,25,34,42,43,49,50,51,52,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72] + Details: We combined rules [60,62] to obtain the rule 73 . * Step 52: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 61. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && 0 >= I && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 63. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [A >= 2 && I >= 2 && H >= I && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 65. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(0 >= A || 0 >= A) (2,4) && (0 >= A || 0 >= 2 + A) && (0 >= A || I >= 1 + H) && (A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 67. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2) (2,4) && (A >= 2 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H) && (A >= 0 || A >= 2) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 69. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*H + 2*I,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 70. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [(Q >= 2 || Q >= 2) (3 + J + 2*K,4) && (Q >= 2 || J >= K) && (Q >= 2 || Q >= 2*F1$) && (Q >= 2 || 3*F1$ >= 1 + Q) && (Q >= 2 || 0 >= K) && (J >= K || Q >= 2) && (J >= K || J >= K) && (J >= K || Q >= 2*F1$) && (J >= K || 3*F1$ >= 1 + Q) && (J >= K || 0 >= K) && (Q >= 2*F1$ || Q >= 2) && (Q >= 2*F1$ || J >= K) && (Q >= 2*F1$ || Q >= 2*F1$) && (Q >= 2*F1$ || 3*F1$ >= 1 + Q) && (Q >= 2*F1$ || 0 >= K) && (3*F1$ >= 1 + Q || Q >= 2) && (3*F1$ >= 1 + Q || J >= K) && (3*F1$ >= 1 + Q || Q >= 2*F1$) && (3*F1$ >= 1 + Q || 3*F1$ >= 1 + Q) && (3*F1$ >= 1 + Q || 0 >= K) && (K >= 2 || Q >= 2) && (K >= 2 || J >= K) && (K >= 2 || Q >= 2*F1$) && (K >= 2 || 3*F1$ >= 1 + Q) && (K >= 2 || 0 >= K)] 71. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(0 >= A || 0 >= A) (2,6) && (0 >= A || 0 >= I) && (0 >= A || H >= I) && (0 >= A || P >= 2*X$) && (0 >= A || 3*X$ >= 1 + P) && (0 >= A || 1 + X$ >= Q) && (I >= 2 || 0 >= A) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= A) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 72. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [(0 >= A || 0 >= A) (2,6) && (0 >= A || 0 >= I) && (0 >= A || H >= I) && (0 >= A || P >= 2*X$) && (0 >= A || 3*X$ >= 1 + P) && (0 >= A || Q >= 2 + X$) && (I >= 2 || 0 >= A) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= A) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 73. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(A >= 2 || A >= 2) (2,6) && (A >= 2 || 0 >= I) && (A >= 2 || H >= I) && (A >= 2 || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q) && (I >= 2 || A >= 2) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || A >= 2) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,49,50,51,64,70},13->{13,49,50,51,64,70},18->{42,43,68,69},24->{2,52},25->{42,43,68,69} ,34->{8,18},42->{13,49,50,51,64,70},43->{42,43,68,69},49->{13,49,50,51,64,70},50->{13,49,50,51,64,70} ,51->{42,43,68,69},52->{2,52},58->{13,49,50,51,64,70},59->{42,43,68,69},61->{42,43,68,69},63->{42,43,68,69} ,64->{13,49,50,51,64,70},65->{},66->{},67->{},68->{13,49,50,51,64,70},69->{42,43,68,69},70->{13,49,50,51,64 ,70},71->{13,49,50,51,64,70},72->{42,43,68,69},73->{13,49,50,51,64,70}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<61,0,A>, A) (<61,0,B>, ?) (<61,0,C>, ?) (<61,0,F>, ?) (<61,0,G>, ?) (<61,0,H>, H) (<61,0,I>, 1 + I) (<61,0,J>, J) (<61,0,K>, K) (<61,0,N>, 1) (<61,0,O>, 0) (<61,0,P>, P) (<61,0,Q>, Q) (<63,0,A>, A) (<63,0,B>, ?) (<63,0,C>, ?) (<63,0,F>, ?) (<63,0,G>, ?) (<63,0,H>, H) (<63,0,I>, 1 + I) (<63,0,J>, J) (<63,0,K>, K) (<63,0,N>, 1) (<63,0,O>, 0) (<63,0,P>, P) (<63,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<65,0,A>, A) (<65,0,B>, ?) (<65,0,C>, ?) (<65,0,F>, ?) (<65,0,G>, ?) (<65,0,H>, H) (<65,0,I>, I) (<65,0,J>, J) (<65,0,K>, K) (<65,0,N>, N) (<65,0,O>, O) (<65,0,P>, P) (<65,0,Q>, Q) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<67,0,A>, A) (<67,0,B>, ?) (<67,0,C>, ?) (<67,0,F>, ?) (<67,0,G>, ?) (<67,0,H>, H) (<67,0,I>, I) (<67,0,J>, J) (<67,0,K>, K) (<67,0,N>, N) (<67,0,O>, O) (<67,0,P>, P) (<67,0,Q>, Q) (<68,0,A>, A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, H) (<68,0,J>, J) (<68,0,K>, ?) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1 + H) (<69,0,J>, J) (<69,0,K>, ?) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) (<70,0,A>, A) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, H) (<70,0,I>, 1 + H + I) (<70,0,J>, J) (<70,0,K>, 1 + J) (<70,0,N>, 1) (<70,0,O>, 0) (<70,0,P>, P) (<70,0,Q>, ?) (<71,0,A>, A) (<71,0,B>, ?) (<71,0,C>, ?) (<71,0,F>, ?) (<71,0,G>, ?) (<71,0,H>, H) (<71,0,I>, I) (<71,0,J>, J) (<71,0,K>, K) (<71,0,N>, 1) (<71,0,O>, 0) (<71,0,P>, P) (<71,0,Q>, Q) (<72,0,A>, A) (<72,0,B>, ?) (<72,0,C>, ?) (<72,0,F>, ?) (<72,0,G>, ?) (<72,0,H>, H) (<72,0,I>, 1 + I) (<72,0,J>, J) (<72,0,K>, K) (<72,0,N>, 1) (<72,0,O>, 0) (<72,0,P>, P) (<72,0,Q>, Q) (<73,0,A>, A) (<73,0,B>, ?) (<73,0,C>, ?) (<73,0,F>, ?) (<73,0,G>, ?) (<73,0,H>, H) (<73,0,I>, I) (<73,0,J>, J) (<73,0,K>, K) (<73,0,N>, 1) (<73,0,O>, 0) (<73,0,P>, P) (<73,0,Q>, Q) + Applied Processor: CombineProcessor [2,8,13,18,24,25,34,42,43,49,50,51,52,58,59,61,63,64,65,66,67,68,69,70,71,72,73] + Details: We combined rules [61,63] to obtain the rule 74 . * Step 53: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 65. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(0 >= A || 0 >= A) (2,4) && (0 >= A || 0 >= 2 + A) && (0 >= A || I >= 1 + H) && (A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 67. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2) (2,4) && (A >= 2 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H) && (A >= 0 || A >= 2) && (A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2) && (I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 69. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*H + 2*I,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 70. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [(Q >= 2 || Q >= 2) (3 + J + 2*K,4) && (Q >= 2 || J >= K) && (Q >= 2 || Q >= 2*F1$) && (Q >= 2 || 3*F1$ >= 1 + Q) && (Q >= 2 || 0 >= K) && (J >= K || Q >= 2) && (J >= K || J >= K) && (J >= K || Q >= 2*F1$) && (J >= K || 3*F1$ >= 1 + Q) && (J >= K || 0 >= K) && (Q >= 2*F1$ || Q >= 2) && (Q >= 2*F1$ || J >= K) && (Q >= 2*F1$ || Q >= 2*F1$) && (Q >= 2*F1$ || 3*F1$ >= 1 + Q) && (Q >= 2*F1$ || 0 >= K) && (3*F1$ >= 1 + Q || Q >= 2) && (3*F1$ >= 1 + Q || J >= K) && (3*F1$ >= 1 + Q || Q >= 2*F1$) && (3*F1$ >= 1 + Q || 3*F1$ >= 1 + Q) && (3*F1$ >= 1 + Q || 0 >= K) && (K >= 2 || Q >= 2) && (K >= 2 || J >= K) && (K >= 2 || Q >= 2*F1$) && (K >= 2 || 3*F1$ >= 1 + Q) && (K >= 2 || 0 >= K)] 71. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(0 >= A || 0 >= A) (2,6) && (0 >= A || 0 >= I) && (0 >= A || H >= I) && (0 >= A || P >= 2*X$) && (0 >= A || 3*X$ >= 1 + P) && (0 >= A || 1 + X$ >= Q) && (I >= 2 || 0 >= A) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= A) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 72. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [(0 >= A || 0 >= A) (2,6) && (0 >= A || 0 >= I) && (0 >= A || H >= I) && (0 >= A || P >= 2*X$) && (0 >= A || 3*X$ >= 1 + P) && (0 >= A || Q >= 2 + X$) && (I >= 2 || 0 >= A) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= A) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 73. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(A >= 2 || A >= 2) (2,6) && (A >= 2 || 0 >= I) && (A >= 2 || H >= I) && (A >= 2 || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q) && (I >= 2 || A >= 2) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || A >= 2) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 74. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [(A >= 2 || A >= 2) (2,6) && (A >= 2 || 0 >= I) && (A >= 2 || H >= I) && (A >= 2 || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$) && (I >= 2 || A >= 2) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || A >= 2) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || A >= 2) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,49,50,51,64,70},13->{13,49,50,51,64,70},18->{42,43,68,69},24->{2,52},25->{42,43,68,69} ,34->{8,18},42->{13,49,50,51,64,70},43->{42,43,68,69},49->{13,49,50,51,64,70},50->{13,49,50,51,64,70} ,51->{42,43,68,69},52->{2,52},58->{13,49,50,51,64,70},59->{42,43,68,69},64->{13,49,50,51,64,70},65->{} ,66->{},67->{},68->{13,49,50,51,64,70},69->{42,43,68,69},70->{13,49,50,51,64,70},71->{13,49,50,51,64,70} ,72->{42,43,68,69},73->{13,49,50,51,64,70},74->{42,43,68,69}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<65,0,A>, A) (<65,0,B>, ?) (<65,0,C>, ?) (<65,0,F>, ?) (<65,0,G>, ?) (<65,0,H>, H) (<65,0,I>, I) (<65,0,J>, J) (<65,0,K>, K) (<65,0,N>, N) (<65,0,O>, O) (<65,0,P>, P) (<65,0,Q>, Q) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<67,0,A>, A) (<67,0,B>, ?) (<67,0,C>, ?) (<67,0,F>, ?) (<67,0,G>, ?) (<67,0,H>, H) (<67,0,I>, I) (<67,0,J>, J) (<67,0,K>, K) (<67,0,N>, N) (<67,0,O>, O) (<67,0,P>, P) (<67,0,Q>, Q) (<68,0,A>, A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, H) (<68,0,J>, J) (<68,0,K>, ?) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1 + H) (<69,0,J>, J) (<69,0,K>, ?) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) (<70,0,A>, A) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, H) (<70,0,I>, 1 + H + I) (<70,0,J>, J) (<70,0,K>, 1 + J) (<70,0,N>, 1) (<70,0,O>, 0) (<70,0,P>, P) (<70,0,Q>, ?) (<71,0,A>, A) (<71,0,B>, ?) (<71,0,C>, ?) (<71,0,F>, ?) (<71,0,G>, ?) (<71,0,H>, H) (<71,0,I>, I) (<71,0,J>, J) (<71,0,K>, K) (<71,0,N>, 1) (<71,0,O>, 0) (<71,0,P>, P) (<71,0,Q>, Q) (<72,0,A>, A) (<72,0,B>, ?) (<72,0,C>, ?) (<72,0,F>, ?) (<72,0,G>, ?) (<72,0,H>, H) (<72,0,I>, 1 + I) (<72,0,J>, J) (<72,0,K>, K) (<72,0,N>, 1) (<72,0,O>, 0) (<72,0,P>, P) (<72,0,Q>, Q) (<73,0,A>, A) (<73,0,B>, ?) (<73,0,C>, ?) (<73,0,F>, ?) (<73,0,G>, ?) (<73,0,H>, H) (<73,0,I>, I) (<73,0,J>, J) (<73,0,K>, K) (<73,0,N>, 1) (<73,0,O>, 0) (<73,0,P>, P) (<73,0,Q>, Q) (<74,0,A>, A) (<74,0,B>, ?) (<74,0,C>, ?) (<74,0,F>, ?) (<74,0,G>, ?) (<74,0,H>, H) (<74,0,I>, 1 + I) (<74,0,J>, J) (<74,0,K>, K) (<74,0,N>, 1) (<74,0,O>, 0) (<74,0,P>, P) (<74,0,Q>, Q) + Applied Processor: CombineProcessor [2,8,13,18,24,25,34,42,43,49,50,51,52,58,59,64,65,66,67,68,69,70,71,72,73,74] + Details: We combined rules [65,67] to obtain the rule 75 . * Step 54: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 69. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*H + 2*I,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 70. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [(Q >= 2 || Q >= 2) (3 + J + 2*K,4) && (Q >= 2 || J >= K) && (Q >= 2 || Q >= 2*F1$) && (Q >= 2 || 3*F1$ >= 1 + Q) && (Q >= 2 || 0 >= K) && (J >= K || Q >= 2) && (J >= K || J >= K) && (J >= K || Q >= 2*F1$) && (J >= K || 3*F1$ >= 1 + Q) && (J >= K || 0 >= K) && (Q >= 2*F1$ || Q >= 2) && (Q >= 2*F1$ || J >= K) && (Q >= 2*F1$ || Q >= 2*F1$) && (Q >= 2*F1$ || 3*F1$ >= 1 + Q) && (Q >= 2*F1$ || 0 >= K) && (3*F1$ >= 1 + Q || Q >= 2) && (3*F1$ >= 1 + Q || J >= K) && (3*F1$ >= 1 + Q || Q >= 2*F1$) && (3*F1$ >= 1 + Q || 3*F1$ >= 1 + Q) && (3*F1$ >= 1 + Q || 0 >= K) && (K >= 2 || Q >= 2) && (K >= 2 || J >= K) && (K >= 2 || Q >= 2*F1$) && (K >= 2 || 3*F1$ >= 1 + Q) && (K >= 2 || 0 >= K)] 71. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(0 >= A || 0 >= A) (2,6) && (0 >= A || 0 >= I) && (0 >= A || H >= I) && (0 >= A || P >= 2*X$) && (0 >= A || 3*X$ >= 1 + P) && (0 >= A || 1 + X$ >= Q) && (I >= 2 || 0 >= A) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= A) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 72. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [(0 >= A || 0 >= A) (2,6) && (0 >= A || 0 >= I) && (0 >= A || H >= I) && (0 >= A || P >= 2*X$) && (0 >= A || 3*X$ >= 1 + P) && (0 >= A || Q >= 2 + X$) && (I >= 2 || 0 >= A) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= A) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 73. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(A >= 2 || A >= 2) (2,6) && (A >= 2 || 0 >= I) && (A >= 2 || H >= I) && (A >= 2 || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q) && (I >= 2 || A >= 2) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || A >= 2) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 74. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [(A >= 2 || A >= 2) (2,6) && (A >= 2 || 0 >= I) && (A >= 2 || H >= I) && (A >= 2 || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$) && (I >= 2 || A >= 2) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || A >= 2) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || A >= 2) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 75. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,8) && (A >= 2 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 2 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 2 || A >= 2 || A >= 0 || 0 >= A) && (A >= 2 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 2 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (A >= 0 || A >= 2 || 0 >= A || 0 >= A) && (A >= 0 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 0 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 0 || A >= 2 || A >= 0 || 0 >= A) && (A >= 0 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 0 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= A) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || 0 >= A || I >= 1 + H) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= A) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= A) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= A) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || 0 >= A || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= A) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || A >= 0 || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || I >= 1 + H)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,49,50,51,64,70},13->{13,49,50,51,64,70},18->{42,43,68,69},24->{2,52},25->{42,43,68,69} ,34->{8,18},42->{13,49,50,51,64,70},43->{42,43,68,69},49->{13,49,50,51,64,70},50->{13,49,50,51,64,70} ,51->{42,43,68,69},52->{2,52},58->{13,49,50,51,64,70},59->{42,43,68,69},64->{13,49,50,51,64,70},66->{} ,68->{13,49,50,51,64,70},69->{42,43,68,69},70->{13,49,50,51,64,70},71->{13,49,50,51,64,70},72->{42,43,68,69} ,73->{13,49,50,51,64,70},74->{42,43,68,69},75->{}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<68,0,A>, A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, H) (<68,0,J>, J) (<68,0,K>, ?) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1 + H) (<69,0,J>, J) (<69,0,K>, ?) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) (<70,0,A>, A) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, H) (<70,0,I>, 1 + H + I) (<70,0,J>, J) (<70,0,K>, 1 + J) (<70,0,N>, 1) (<70,0,O>, 0) (<70,0,P>, P) (<70,0,Q>, ?) (<71,0,A>, A) (<71,0,B>, ?) (<71,0,C>, ?) (<71,0,F>, ?) (<71,0,G>, ?) (<71,0,H>, H) (<71,0,I>, I) (<71,0,J>, J) (<71,0,K>, K) (<71,0,N>, 1) (<71,0,O>, 0) (<71,0,P>, P) (<71,0,Q>, Q) (<72,0,A>, A) (<72,0,B>, ?) (<72,0,C>, ?) (<72,0,F>, ?) (<72,0,G>, ?) (<72,0,H>, H) (<72,0,I>, 1 + I) (<72,0,J>, J) (<72,0,K>, K) (<72,0,N>, 1) (<72,0,O>, 0) (<72,0,P>, P) (<72,0,Q>, Q) (<73,0,A>, A) (<73,0,B>, ?) (<73,0,C>, ?) (<73,0,F>, ?) (<73,0,G>, ?) (<73,0,H>, H) (<73,0,I>, I) (<73,0,J>, J) (<73,0,K>, K) (<73,0,N>, 1) (<73,0,O>, 0) (<73,0,P>, P) (<73,0,Q>, Q) (<74,0,A>, A) (<74,0,B>, ?) (<74,0,C>, ?) (<74,0,F>, ?) (<74,0,G>, ?) (<74,0,H>, H) (<74,0,I>, 1 + I) (<74,0,J>, J) (<74,0,K>, K) (<74,0,N>, 1) (<74,0,O>, 0) (<74,0,P>, P) (<74,0,Q>, Q) (<75,0,A>, A) (<75,0,B>, ?) (<75,0,C>, ?) (<75,0,F>, ?) (<75,0,G>, ?) (<75,0,H>, H) (<75,0,I>, I) (<75,0,J>, J) (<75,0,K>, K) (<75,0,N>, N) (<75,0,O>, O) (<75,0,P>, P) (<75,0,Q>, Q) + Applied Processor: CombineProcessor [2,8,13,18,24,25,34,42,43,49,50,51,52,58,59,64,66,68,69,70,71,72,73,74,75] + Details: We combined rules [71,73] to obtain the rule 76 . * Step 55: CombineProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 69. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*H + 2*I,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 70. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [(Q >= 2 || Q >= 2) (3 + J + 2*K,4) && (Q >= 2 || J >= K) && (Q >= 2 || Q >= 2*F1$) && (Q >= 2 || 3*F1$ >= 1 + Q) && (Q >= 2 || 0 >= K) && (J >= K || Q >= 2) && (J >= K || J >= K) && (J >= K || Q >= 2*F1$) && (J >= K || 3*F1$ >= 1 + Q) && (J >= K || 0 >= K) && (Q >= 2*F1$ || Q >= 2) && (Q >= 2*F1$ || J >= K) && (Q >= 2*F1$ || Q >= 2*F1$) && (Q >= 2*F1$ || 3*F1$ >= 1 + Q) && (Q >= 2*F1$ || 0 >= K) && (3*F1$ >= 1 + Q || Q >= 2) && (3*F1$ >= 1 + Q || J >= K) && (3*F1$ >= 1 + Q || Q >= 2*F1$) && (3*F1$ >= 1 + Q || 3*F1$ >= 1 + Q) && (3*F1$ >= 1 + Q || 0 >= K) && (K >= 2 || Q >= 2) && (K >= 2 || J >= K) && (K >= 2 || Q >= 2*F1$) && (K >= 2 || 3*F1$ >= 1 + Q) && (K >= 2 || 0 >= K)] 72. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [(0 >= A || 0 >= A) (2,6) && (0 >= A || 0 >= I) && (0 >= A || H >= I) && (0 >= A || P >= 2*X$) && (0 >= A || 3*X$ >= 1 + P) && (0 >= A || Q >= 2 + X$) && (I >= 2 || 0 >= A) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= A) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 74. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [(A >= 2 || A >= 2) (2,6) && (A >= 2 || 0 >= I) && (A >= 2 || H >= I) && (A >= 2 || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$) && (I >= 2 || A >= 2) && (I >= 2 || 0 >= I) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || A >= 2) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || A >= 2) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 75. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,8) && (A >= 2 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 2 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 2 || A >= 2 || A >= 0 || 0 >= A) && (A >= 2 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 2 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (A >= 0 || A >= 2 || 0 >= A || 0 >= A) && (A >= 0 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 0 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 0 || A >= 2 || A >= 0 || 0 >= A) && (A >= 0 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 0 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= A) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || 0 >= A || I >= 1 + H) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= A) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= A) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= A) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || 0 >= A || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= A) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || A >= 0 || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || I >= 1 + H)] 76. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,12) && (A >= 2 || A >= 2 || 0 >= A || 0 >= I) && (A >= 2 || A >= 2 || 0 >= A || H >= I) && (A >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (A >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 0 >= A || 1 + X$ >= Q) && (A >= 2 || A >= 2 || I >= 2 || 0 >= A) && (A >= 2 || A >= 2 || I >= 2 || 0 >= I) && (A >= 2 || A >= 2 || I >= 2 || H >= I) && (A >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (A >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || I >= 2 || 1 + X$ >= Q) && (A >= 2 || A >= 2 || H >= I || 0 >= A) && (A >= 2 || A >= 2 || H >= I || 0 >= I) && (A >= 2 || A >= 2 || H >= I || H >= I) && (A >= 2 || A >= 2 || H >= I || P >= 2*X$) && (A >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || H >= I || 1 + X$ >= Q) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= A) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= I) && (A >= 2 || A >= 2 || 1 + X$ >= Q || H >= I) && (A >= 2 || A >= 2 || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 0 >= A || 0 >= A) && (A >= 2 || 0 >= I || 0 >= A || 0 >= I) && (A >= 2 || 0 >= I || 0 >= A || H >= I) && (A >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (A >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 0 >= A || 1 + X$ >= Q) && (A >= 2 || 0 >= I || I >= 2 || 0 >= A) && (A >= 2 || 0 >= I || I >= 2 || 0 >= I) && (A >= 2 || 0 >= I || I >= 2 || H >= I) && (A >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (A >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || I >= 2 || 1 + X$ >= Q) && (A >= 2 || 0 >= I || H >= I || 0 >= A) && (A >= 2 || 0 >= I || H >= I || 0 >= I) && (A >= 2 || 0 >= I || H >= I || H >= I) && (A >= 2 || 0 >= I || H >= I || P >= 2*X$) && (A >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || H >= I || 1 + X$ >= Q) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 0 >= A) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 0 >= I) && (A >= 2 || 0 >= I || 1 + X$ >= Q || H >= I) && (A >= 2 || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || H >= I || 0 >= A || 0 >= A) && (A >= 2 || H >= I || 0 >= A || 0 >= I) && (A >= 2 || H >= I || 0 >= A || H >= I) && (A >= 2 || H >= I || 0 >= A || P >= 2*X$) && (A >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 0 >= A || 1 + X$ >= Q) && (A >= 2 || H >= I || I >= 2 || 0 >= A) && (A >= 2 || H >= I || I >= 2 || 0 >= I) && (A >= 2 || H >= I || I >= 2 || H >= I) && (A >= 2 || H >= I || I >= 2 || P >= 2*X$) && (A >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || H >= I || I >= 2 || 1 + X$ >= Q) && (A >= 2 || H >= I || H >= I || 0 >= A) && (A >= 2 || H >= I || H >= I || 0 >= I) && (A >= 2 || H >= I || H >= I || H >= I) && (A >= 2 || H >= I || H >= I || P >= 2*X$) && (A >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || H >= I || H >= I || 1 + X$ >= Q) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || H >= I || P >= 2*X$ || H >= I) && (A >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || H >= I || 1 + X$ >= Q || 0 >= A) && (A >= 2 || H >= I || 1 + X$ >= Q || 0 >= I) && (A >= 2 || H >= I || 1 + X$ >= Q || H >= I) && (A >= 2 || H >= I || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (A >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (A >= 2 || P >= 2*X$ || H >= I || H >= I) && (A >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (A >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || H >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || H >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || 1 + X$ >= Q || 0 >= A || 0 >= A) && (A >= 2 || 1 + X$ >= Q || 0 >= A || 0 >= I) && (A >= 2 || 1 + X$ >= Q || 0 >= A || H >= I) && (A >= 2 || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (A >= 2 || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (A >= 2 || 1 + X$ >= Q || I >= 2 || 0 >= A) && (A >= 2 || 1 + X$ >= Q || I >= 2 || 0 >= I) && (A >= 2 || 1 + X$ >= Q || I >= 2 || H >= I) && (A >= 2 || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (A >= 2 || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (A >= 2 || 1 + X$ >= Q || H >= I || 0 >= A) && (A >= 2 || 1 + X$ >= Q || H >= I || 0 >= I) && (A >= 2 || 1 + X$ >= Q || H >= I || H >= I) && (A >= 2 || 1 + X$ >= Q || H >= I || P >= 2*X$) && (A >= 2 || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (A >= 2 || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (A >= 2 || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (A >= 2 || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (A >= 2 || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q) && (I >= 2 || A >= 2 || 0 >= A || 0 >= A) && (I >= 2 || A >= 2 || 0 >= A || 0 >= I) && (I >= 2 || A >= 2 || 0 >= A || H >= I) && (I >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (I >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 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3*X$ >= 1 + P || 0 >= I) && (H >= I || H >= I || 3*X$ >= 1 + P || H >= I) && (H >= I || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (H >= I || H >= I || 1 + X$ >= Q || 0 >= A) && (H >= I || H >= I || 1 + X$ >= Q || 0 >= I) && (H >= I || H >= I || 1 + X$ >= Q || H >= I) && (H >= I || H >= I || 1 + X$ >= Q || P >= 2*X$) && (H >= I || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (H >= I || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (H >= I || P >= 2*X$ || 0 >= A || 0 >= A) && (H >= I || P >= 2*X$ || 0 >= A || 0 >= I) && (H >= I || P >= 2*X$ || 0 >= A || H >= I) && (H >= I || P >= 2*X$ || 0 >= A || P >= 2*X$) && (H >= I || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (H >= I || P >= 2*X$ || I >= 2 || 0 >= A) && (H >= I || P >= 2*X$ || I >= 2 || 0 >= I) && (H >= I || P >= 2*X$ || I >= 2 || H >= I) && (H >= I || P >= 2*X$ || I >= 2 || P >= 2*X$) && (H >= I || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (H >= I || P >= 2*X$ || H >= I || 0 >= A) && (H >= I || P >= 2*X$ || H >= I || 0 >= I) && (H >= I || P >= 2*X$ || H >= I || H >= I) && (H >= I || P >= 2*X$ || H >= I || P >= 2*X$) && (H >= I || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (H >= I || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (H >= I || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (H >= I || P >= 2*X$ || P >= 2*X$ || H >= I) && (H >= I || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (H >= I || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (H >= I || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (H >= I || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (H >= I || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (H >= I || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (H >= I || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 0 >= A || H >= I) && (H >= I || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (H >= I || 3*X$ >= 1 + P || I >= 2 || H >= I) && (H >= I || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (H >= I || 3*X$ >= 1 + P || H >= I || 0 >= A) && (H >= I || 3*X$ >= 1 + P || H >= I || 0 >= I) && (H >= I || 3*X$ >= 1 + P || H >= I || H >= I) && (H >= I || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || 0 >= A || 0 >= A) && (H >= I || 1 + X$ >= Q || 0 >= A || 0 >= I) && (H >= I || 1 + X$ >= Q || 0 >= A || H >= I) && (H >= I || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (H >= I || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || I >= 2 || 0 >= A) && (H >= I || 1 + X$ >= Q || I >= 2 || 0 >= I) && (H >= I || 1 + X$ >= Q || I >= 2 || H >= I) && (H >= I || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (H >= I || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || H >= I || 0 >= A) && (H >= I || 1 + X$ >= Q || H >= I || 0 >= I) && (H >= I || 1 + X$ >= Q || H >= I || H >= I) && (H >= I || 1 + X$ >= Q || H >= I || P >= 2*X$) && (H >= I || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (H >= I || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (H >= I || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (H >= I || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (H >= I || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2 || 0 >= A || 0 >= A) && (P >= 2*X$ || A >= 2 || 0 >= A || 0 >= I) && (P >= 2*X$ || A >= 2 || 0 >= A || H >= I) && (P >= 2*X$ || A >= 2 || 0 >= A || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2 || I >= 2 || 0 >= A) && (P >= 2*X$ || A >= 2 || I >= 2 || 0 >= I) && (P >= 2*X$ || A >= 2 || I >= 2 || H >= I) && (P >= 2*X$ || A >= 2 || I >= 2 || P >= 2*X$) && (P >= 2*X$ || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= A) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= I) && (P >= 2*X$ || A >= 2 || H >= I || H >= I) && (P >= 2*X$ || A >= 2 || H >= I || P >= 2*X$) && (P >= 2*X$ || A >= 2 || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || H >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2 || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || A >= 2 || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || A >= 2 || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || A >= 2 || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || H >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || H >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= A) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= I) && (P >= 2*X$ || 0 >= I || H >= I || H >= I) && (P >= 2*X$ || 0 >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || H >= I || 0 >= A || H >= I) && (P >= 2*X$ || H >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || H >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || H >= I || I >= 2 || H >= I) && (P >= 2*X$ || H >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || H >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || H >= I || 0 >= A) && (P >= 2*X$ || H >= I || H >= I || 0 >= I) && (P >= 2*X$ || H >= I || H >= I || H >= I) && (P >= 2*X$ || H >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || H >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || H >= I) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || H >= I) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || H >= I || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || H >= I || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || H >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || H >= I) && (P >= 2*X$ || 1 + X$ >= Q 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(3*X$ >= 1 + P || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || H >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || H >= I || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2 || 1 + X$ >= Q || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 1 + X$ >= Q || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 1 + X$ >= Q || H >= I) && (3*X$ >= 1 + P || A >= 2 || 1 + X$ >= Q || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || H >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || H >= I || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || H >= I) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 0 >= A || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || I >= 2 || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || H >= I || H >= I || H >= I) && (3*X$ >= 1 + P || H >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || H >= I || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || 1 + X$ >= Q || 0 >= A) && (3*X$ >= 1 + P || H >= I || 1 + X$ >= Q || 0 >= I) && (3*X$ >= 1 + P || H >= I || 1 + X$ >= Q || H >= I) && (3*X$ >= 1 + P || H >= I || 1 + X$ >= Q || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A || H >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (3*X$ >= 1 + P || 1 + X$ >= Q || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 1 + X$ >= Q || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || I >= 2 || H >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (3*X$ >= 1 + P || 1 + X$ >= Q || H >= I || 0 >= A) && (3*X$ >= 1 + P || 1 + X$ >= Q || H >= I || 0 >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || H >= I || H >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2 || 0 >= A || 0 >= A) && (1 + X$ >= Q || A >= 2 || 0 >= A || 0 >= I) && (1 + X$ >= Q || A >= 2 || 0 >= A || H >= I) && (1 + X$ >= Q || A >= 2 || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || A >= 2 || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2 || I >= 2 || 0 >= A) && (1 + X$ >= Q || A >= 2 || I >= 2 || 0 >= I) && (1 + X$ >= Q || A >= 2 || I >= 2 || H >= I) && (1 + X$ >= Q || A >= 2 || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || A >= 2 || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2 || H >= I || 0 >= A) && (1 + X$ >= Q || A >= 2 || H >= I || 0 >= I) && (1 + X$ >= Q || A >= 2 || H >= I || H >= I) && (1 + X$ >= Q || A >= 2 || H >= I || P >= 2*X$) && (1 + X$ >= Q || A >= 2 || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || A >= 2 || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2 || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || A >= 2 || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || A >= 2 || P >= 2*X$ || H >= I) && (1 + X$ >= Q || A >= 2 || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || A >= 2 || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || A >= 2 || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2 || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || A >= 2 || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || A >= 2 || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || A >= 2 || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I || 0 >= A || 0 >= A) && (1 + X$ >= Q || 0 >= I || 0 >= A || 0 >= I) && (1 + X$ >= Q || 0 >= I || 0 >= A || H >= I) && (1 + X$ >= Q || 0 >= I || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 0 >= I || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I || I >= 2 || 0 >= A) && (1 + X$ >= Q || 0 >= I || I >= 2 || 0 >= I) && (1 + X$ >= Q || 0 >= I || I >= 2 || H >= I) && (1 + X$ >= Q || 0 >= I || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 0 >= I || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I || H >= I || 0 >= A) && (1 + X$ >= Q || 0 >= I || H >= I || 0 >= I) && (1 + X$ >= Q || 0 >= I || H >= I || H >= I) && (1 + X$ >= Q || 0 >= I || H >= I || P >= 2*X$) && (1 + X$ >= Q || 0 >= I || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 0 >= I || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 0 >= I || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 0 >= I || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 0 >= I || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 0 >= I || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 0 >= I || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 0 >= I || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || H >= I || 0 >= A || 0 >= A) && (1 + X$ >= Q || H >= I || 0 >= A || 0 >= I) && (1 + X$ >= Q || H >= I || 0 >= A || H >= I) && (1 + X$ >= Q || H >= I || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || H >= I || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || H >= I || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || H >= I || I >= 2 || 0 >= A) && (1 + X$ >= Q || H >= I || I >= 2 || 0 >= I) && (1 + X$ >= Q || H >= I || I >= 2 || H >= I) && (1 + X$ >= Q || H >= I || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || H >= I || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || H >= I || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || H >= I || H >= I || 0 >= A) && (1 + X$ >= Q || H >= I || H >= I || 0 >= I) && (1 + X$ >= Q || H >= I || H >= I || H >= I) && (1 + X$ >= Q || H >= I || H >= I || P >= 2*X$) && (1 + X$ >= Q || H >= I || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || H >= I || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || H >= I || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || H >= I || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || H >= I || P >= 2*X$ || H >= I) && (1 + X$ >= Q || H >= I || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || H >= I || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || H >= I || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || H >= I || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || H >= I) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || H >= I || H >= I) && (1 + X$ >= Q || P >= 2*X$ || H >= I || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || H >= I) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,49,50,51,64,70},13->{13,49,50,51,64,70},18->{42,43,68,69},24->{2,52},25->{42,43,68,69} ,34->{8,18},42->{13,49,50,51,64,70},43->{42,43,68,69},49->{13,49,50,51,64,70},50->{13,49,50,51,64,70} ,51->{42,43,68,69},52->{2,52},58->{13,49,50,51,64,70},59->{42,43,68,69},64->{13,49,50,51,64,70},66->{} ,68->{13,49,50,51,64,70},69->{42,43,68,69},70->{13,49,50,51,64,70},72->{42,43,68,69},74->{42,43,68,69} ,75->{},76->{13,49,50,51,64,70}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<68,0,A>, A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, H) (<68,0,J>, J) (<68,0,K>, ?) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1 + H) (<69,0,J>, J) (<69,0,K>, ?) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) (<70,0,A>, A) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, H) (<70,0,I>, 1 + H + I) (<70,0,J>, J) (<70,0,K>, 1 + J) (<70,0,N>, 1) (<70,0,O>, 0) (<70,0,P>, P) (<70,0,Q>, ?) (<72,0,A>, A) (<72,0,B>, ?) (<72,0,C>, ?) (<72,0,F>, ?) (<72,0,G>, ?) (<72,0,H>, H) (<72,0,I>, 1 + I) (<72,0,J>, J) (<72,0,K>, K) (<72,0,N>, 1) (<72,0,O>, 0) (<72,0,P>, P) (<72,0,Q>, Q) (<74,0,A>, A) (<74,0,B>, ?) (<74,0,C>, ?) (<74,0,F>, ?) (<74,0,G>, ?) (<74,0,H>, H) (<74,0,I>, 1 + I) (<74,0,J>, J) (<74,0,K>, K) (<74,0,N>, 1) (<74,0,O>, 0) (<74,0,P>, P) (<74,0,Q>, Q) (<75,0,A>, A) (<75,0,B>, ?) (<75,0,C>, ?) (<75,0,F>, ?) (<75,0,G>, ?) (<75,0,H>, H) (<75,0,I>, I) (<75,0,J>, J) (<75,0,K>, K) (<75,0,N>, N) (<75,0,O>, O) (<75,0,P>, P) (<75,0,Q>, Q) (<76,0,A>, A) (<76,0,B>, ?) (<76,0,C>, ?) (<76,0,F>, ?) (<76,0,G>, ?) (<76,0,H>, H) (<76,0,I>, I) (<76,0,J>, J) (<76,0,K>, K) (<76,0,N>, 1) (<76,0,O>, 0) (<76,0,P>, P) (<76,0,Q>, Q) + Applied Processor: CombineProcessor [2,8,13,18,24,25,34,42,43,49,50,51,52,58,59,64,66,68,69,70,72,74,75,76] + Details: We combined rules [72,74] to obtain the rule 77 . * Step 56: UnsatPaths WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 69. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*H + 2*I,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 70. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [(Q >= 2 || Q >= 2) (3 + J + 2*K,4) && (Q >= 2 || J >= K) && (Q >= 2 || Q >= 2*F1$) && (Q >= 2 || 3*F1$ >= 1 + Q) && (Q >= 2 || 0 >= K) && (J >= K || Q >= 2) && (J >= K || J >= K) && (J >= K || Q >= 2*F1$) && (J >= K || 3*F1$ >= 1 + Q) && (J >= K || 0 >= K) && (Q >= 2*F1$ || Q >= 2) && (Q >= 2*F1$ || J >= K) && (Q >= 2*F1$ || Q >= 2*F1$) && (Q >= 2*F1$ || 3*F1$ >= 1 + Q) && (Q >= 2*F1$ || 0 >= K) && (3*F1$ >= 1 + Q || Q >= 2) && (3*F1$ >= 1 + Q || J >= K) && (3*F1$ >= 1 + Q || Q >= 2*F1$) && (3*F1$ >= 1 + Q || 3*F1$ >= 1 + Q) && (3*F1$ >= 1 + Q || 0 >= K) && (K >= 2 || Q >= 2) && (K >= 2 || J >= K) && (K >= 2 || Q >= 2*F1$) && (K >= 2 || 3*F1$ >= 1 + Q) && (K >= 2 || 0 >= K)] 75. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,8) && (A >= 2 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 2 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 2 || A >= 2 || A >= 0 || 0 >= A) && (A >= 2 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 2 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (A >= 0 || A >= 2 || 0 >= A || 0 >= A) && (A >= 0 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 0 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 0 || A >= 2 || A >= 0 || 0 >= A) && (A >= 0 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 0 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= A) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || 0 >= A || I >= 1 + H) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= A) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= A) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= A) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || 0 >= A || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= A) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || A >= 0 || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || I >= 1 + H)] 76. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,12) && (A >= 2 || A >= 2 || 0 >= A || 0 >= I) && (A >= 2 || A >= 2 || 0 >= A || H >= I) && (A >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (A >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 0 >= A || 1 + X$ >= Q) && (A >= 2 || A >= 2 || I >= 2 || 0 >= A) && (A >= 2 || A >= 2 || I >= 2 || 0 >= I) && (A >= 2 || A >= 2 || I >= 2 || H >= I) && (A >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (A >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || I >= 2 || 1 + X$ >= Q) && (A >= 2 || A >= 2 || H >= I || 0 >= A) && (A >= 2 || A >= 2 || H >= I || 0 >= I) && (A >= 2 || A >= 2 || H >= I || H >= I) && (A >= 2 || A >= 2 || H >= I || P >= 2*X$) && (A >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || H >= I || 1 + X$ >= Q) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= A) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= I) && (A >= 2 || A >= 2 || 1 + X$ >= Q || H >= I) && (A >= 2 || A >= 2 || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 0 >= A || 0 >= A) && (A >= 2 || 0 >= I || 0 >= A || 0 >= I) && (A >= 2 || 0 >= I || 0 >= A || H >= I) && (A >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (A >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 0 >= A || 1 + X$ >= Q) && (A >= 2 || 0 >= I || I >= 2 || 0 >= A) && (A >= 2 || 0 >= I || I >= 2 || 0 >= I) && (A >= 2 || 0 >= I || I >= 2 || H >= I) && (A >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (A >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || I >= 2 || 1 + X$ >= Q) && (A >= 2 || 0 >= I || H >= I || 0 >= A) && (A >= 2 || 0 >= I || H >= I || 0 >= I) && (A >= 2 || 0 >= I || H >= I || H >= I) && (A >= 2 || 0 >= I || H >= I || P >= 2*X$) && (A >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || H >= I || 1 + X$ >= Q) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 0 >= A) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 0 >= I) && (A >= 2 || 0 >= I || 1 + X$ >= Q || H >= I) && (A >= 2 || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || H >= I || 0 >= A || 0 >= A) && (A >= 2 || H >= I || 0 >= A || 0 >= I) && (A >= 2 || H >= I || 0 >= A || H >= I) && (A >= 2 || H >= I || 0 >= A || P >= 2*X$) && (A >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 0 >= A || 1 + X$ >= Q) && (A >= 2 || H >= I || I >= 2 || 0 >= A) && (A >= 2 || H >= I || I >= 2 || 0 >= I) && (A >= 2 || H >= I || I >= 2 || H >= I) && (A >= 2 || H >= I || I >= 2 || P >= 2*X$) && (A >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || H >= I || I >= 2 || 1 + X$ >= Q) && (A >= 2 || H >= I || H >= I || 0 >= A) && (A >= 2 || H >= I || H >= I || 0 >= I) && (A >= 2 || H >= I || H >= I || H >= I) && (A >= 2 || H >= I || H >= I || P >= 2*X$) && (A >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || H >= I || H >= I || 1 + X$ >= Q) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || H >= I || P >= 2*X$ || H >= I) && (A >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || H >= I || 1 + X$ >= Q || 0 >= A) && (A >= 2 || H >= I || 1 + X$ >= Q || 0 >= I) && (A >= 2 || H >= I || 1 + X$ >= Q || H >= I) && (A >= 2 || H >= I || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (A >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (A >= 2 || P >= 2*X$ || H >= I || H >= I) && (A >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (A >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || H >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || H >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || 1 + X$ >= Q || 0 >= A || 0 >= A) && (A >= 2 || 1 + X$ >= Q || 0 >= A || 0 >= I) && (A >= 2 || 1 + X$ >= Q || 0 >= A || H >= I) && (A >= 2 || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (A >= 2 || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (A >= 2 || 1 + X$ >= Q || I >= 2 || 0 >= A) && (A >= 2 || 1 + X$ >= Q || I >= 2 || 0 >= I) && (A >= 2 || 1 + X$ >= Q || I >= 2 || H >= I) && (A >= 2 || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (A >= 2 || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (A >= 2 || 1 + X$ >= Q || H >= I || 0 >= A) && (A >= 2 || 1 + X$ >= Q || H >= I || 0 >= I) && (A >= 2 || 1 + X$ >= Q || H >= I || H >= I) && (A >= 2 || 1 + X$ >= Q || H >= I || P >= 2*X$) && (A >= 2 || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (A >= 2 || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (A >= 2 || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (A >= 2 || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (A >= 2 || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q) && (I >= 2 || A >= 2 || 0 >= A || 0 >= A) && (I >= 2 || A >= 2 || 0 >= A || 0 >= I) && (I >= 2 || A >= 2 || 0 >= A || H >= I) && (I >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (I >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || 0 >= A || 1 + X$ >= Q) && (I >= 2 || A >= 2 || I >= 2 || 0 >= A) && (I >= 2 || A >= 2 || I >= 2 || 0 >= I) && (I >= 2 || A >= 2 || I >= 2 || H >= I) && (I >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (I >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || I >= 2 || 1 + X$ >= Q) && (I >= 2 || A >= 2 || H >= I || 0 >= A) && (I >= 2 || A >= 2 || H >= I || 0 >= I) && (I >= 2 || A >= 2 || H >= I || H >= I) && (I >= 2 || A >= 2 || H >= I || P >= 2*X$) && (I >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || H >= I || 1 + X$ >= Q) && (I >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (I >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (I >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (I >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (I >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || P >= 2*X$ || 1 + X$ >= Q) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q) && (I >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= A) && (I >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= I) && (I >= 2 || A >= 2 || 1 + X$ >= Q || H >= I) && (I >= 2 || A >= 2 || 1 + X$ >= Q || P >= 2*X$) && (I >= 2 || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (I >= 2 || 0 >= I || 0 >= A || 0 >= A) && (I >= 2 || 0 >= I || 0 >= A || 0 >= I) && (I >= 2 || 0 >= I || 0 >= A || H >= I) && (I >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (I >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || 0 >= A || 1 + X$ >= Q) && (I >= 2 || 0 >= I || I >= 2 || 0 >= A) && (I >= 2 || 0 >= I || I >= 2 || 0 >= I) && (I >= 2 || 0 >= I || I >= 2 || H >= I) && (I >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (I >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || I >= 2 || 1 + X$ >= Q) && (I >= 2 || 0 >= I || H >= I || 0 >= A) && (I >= 2 || 0 >= I || H >= I || 0 >= I) && (I >= 2 || 0 >= I || H >= I || H >= I) && 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1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= 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|| H >= I || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A || H >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (3*X$ >= 1 + P || 1 + X$ >= Q || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 1 + X$ >= Q || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || I >= 2 || H >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (3*X$ >= 1 + P || 1 + X$ >= Q || H >= I || 0 >= A) && (3*X$ >= 1 + P || 1 + X$ >= Q || H >= I || 0 >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || H >= I || H >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2 || 0 >= A || 0 >= A) && (1 + X$ >= Q || A >= 2 || 0 >= A || 0 >= I) && (1 + X$ >= Q || A >= 2 || 0 >= A || H >= I) && (1 + X$ >= Q || A >= 2 || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || A >= 2 || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2 || I >= 2 || 0 >= A) && (1 + X$ >= Q || A >= 2 || I >= 2 || 0 >= I) && (1 + X$ >= Q || A >= 2 || I >= 2 || H >= I) && (1 + X$ >= Q || A >= 2 || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || A >= 2 || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2 || H >= I || 0 >= A) && (1 + X$ >= Q || A >= 2 || H >= I || 0 >= I) && (1 + X$ >= Q || A >= 2 || H >= I || H >= I) && (1 + X$ >= Q || A >= 2 || H >= I || P >= 2*X$) && (1 + X$ >= Q || A >= 2 || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || A >= 2 || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2 || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || A >= 2 || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || A >= 2 || P >= 2*X$ || H >= I) && (1 + X$ >= Q || A >= 2 || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || A >= 2 || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || A >= 2 || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || A >= 2 || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || A >= 2 || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || A >= 2 || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || A >= 2 || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I || 0 >= A || 0 >= A) && (1 + X$ >= Q || 0 >= I || 0 >= A || 0 >= I) && (1 + X$ >= Q || 0 >= I || 0 >= A || H >= I) && (1 + X$ >= Q || 0 >= I || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 0 >= I || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I || I >= 2 || 0 >= A) && (1 + X$ >= Q || 0 >= I || I >= 2 || 0 >= I) && (1 + X$ >= Q || 0 >= I || I >= 2 || H >= I) && (1 + X$ >= Q || 0 >= I || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 0 >= I || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I || H >= I || 0 >= A) && (1 + X$ >= Q || 0 >= I || H >= I || 0 >= I) && (1 + X$ >= Q || 0 >= I || H >= I || H >= I) && (1 + X$ >= Q || 0 >= I || H >= I || P >= 2*X$) && (1 + X$ >= Q || 0 >= I || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 0 >= I || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 0 >= I || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 0 >= I || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 0 >= I || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 0 >= I || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 0 >= I || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 0 >= I || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || H >= I || 0 >= A || 0 >= A) && (1 + X$ >= Q || H >= I || 0 >= A || 0 >= I) && (1 + X$ >= Q || H >= I || 0 >= A || H >= I) && (1 + X$ >= Q || H >= I || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || H >= I || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || H >= I || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || H >= I || I >= 2 || 0 >= A) && (1 + X$ >= Q || H >= I || I >= 2 || 0 >= I) && (1 + X$ >= Q || H >= I || I >= 2 || H >= I) && (1 + X$ >= Q || H >= I || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || H >= I || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || H >= I || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || H >= I || H >= I || 0 >= A) && (1 + X$ >= Q || H >= I || H >= I || 0 >= I) && (1 + X$ >= Q || H >= I || H >= I || H >= I) && (1 + X$ >= Q || H >= I || H >= I || P >= 2*X$) && (1 + X$ >= Q || H >= I || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || H >= I || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || H >= I || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || H >= I || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || H >= I || P >= 2*X$ || H >= I) && (1 + X$ >= Q || H >= I || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || H >= I || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || H >= I || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || H >= I || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || H >= I) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || H >= I || H >= I) && (1 + X$ >= Q || P >= 2*X$ || H >= I || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || H >= I) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q)] 77. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,12) && (A >= 2 || A >= 2 || 0 >= A || 0 >= I) && (A >= 2 || A >= 2 || 0 >= A || H >= I) && (A >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (A >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 0 >= A || Q >= 2 + X$) && (A >= 2 || A >= 2 || I >= 2 || 0 >= A) && (A >= 2 || A >= 2 || I >= 2 || 0 >= I) && (A >= 2 || A >= 2 || I >= 2 || H >= I) && (A >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (A >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || I >= 2 || Q >= 2 + X$) && (A >= 2 || A >= 2 || H >= I || 0 >= A) && (A >= 2 || A >= 2 || H >= I || 0 >= I) && (A >= 2 || A >= 2 || H >= I || H >= I) && (A >= 2 || A >= 2 || H >= I || P >= 2*X$) && (A >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || H >= I || Q >= 2 + X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= A) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= I) && (A >= 2 || A >= 2 || Q >= 2 + X$ || H >= I) && (A >= 2 || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || 0 >= I || 0 >= A || 0 >= A) && (A >= 2 || 0 >= I || 0 >= A || 0 >= I) && (A >= 2 || 0 >= I || 0 >= A || H >= I) && (A >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (A >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 0 >= A || Q >= 2 + X$) && (A >= 2 || 0 >= I || I >= 2 || 0 >= A) && (A >= 2 || 0 >= I || I >= 2 || 0 >= I) && (A >= 2 || 0 >= I || I >= 2 || H >= I) && (A >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (A >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || I >= 2 || Q >= 2 + X$) && (A >= 2 || 0 >= I || H >= I || 0 >= A) && (A >= 2 || 0 >= I || H >= I || 0 >= I) && (A >= 2 || 0 >= I || H >= I || H >= I) && (A >= 2 || 0 >= I || H >= I || P >= 2*X$) && (A >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || H >= I || Q >= 2 + X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= A) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= I) && (A >= 2 || 0 >= I || Q >= 2 + X$ || H >= I) && (A >= 2 || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || H >= I || 0 >= A || 0 >= A) && (A >= 2 || H >= I || 0 >= A || 0 >= I) && (A >= 2 || H >= I || 0 >= A || H >= I) && (A >= 2 || H >= I || 0 >= A || P >= 2*X$) && (A >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 0 >= A || Q >= 2 + X$) && (A >= 2 || H >= I || I >= 2 || 0 >= A) && (A >= 2 || H >= I || I >= 2 || 0 >= I) && (A >= 2 || H >= I || I >= 2 || H >= I) && (A >= 2 || H >= I || I >= 2 || P >= 2*X$) && (A >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || H >= I || I >= 2 || Q >= 2 + X$) && (A >= 2 || H >= I || H >= I || 0 >= A) && (A >= 2 || H >= I || H >= I || 0 >= I) && (A >= 2 || H >= I || H >= I || H >= I) && (A >= 2 || H >= I || H >= I || P >= 2*X$) && (A >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || H >= I || H >= I || Q >= 2 + X$) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || H >= I || P >= 2*X$ || H >= I) && (A >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || H >= I || Q >= 2 + X$ || 0 >= A) && (A >= 2 || H >= I || Q >= 2 + X$ || 0 >= I) && (A >= 2 || H >= I || Q >= 2 + X$ || H >= I) && (A >= 2 || H >= I || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (A >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (A >= 2 || P >= 2*X$ || H >= I || H >= I) && (A >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (A >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || H >= I || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || H >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || H >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= A) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= I) && (A >= 2 || Q >= 2 + X$ || 0 >= A || H >= I) && (A >= 2 || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= A) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= I) && (A >= 2 || Q >= 2 + X$ || I >= 2 || H >= I) && (A >= 2 || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || H >= I || 0 >= A) && (A >= 2 || Q >= 2 + X$ || H >= I || 0 >= I) && (A >= 2 || Q >= 2 + X$ || H >= I || H >= I) && (A >= 2 || Q >= 2 + X$ || H >= I || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || A >= 2 || 0 >= A || 0 >= A) && (I >= 2 || A >= 2 || 0 >= A || 0 >= I) && (I >= 2 || A >= 2 || 0 >= A || H >= I) && (I >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (I >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || 0 >= A || Q >= 2 + X$) && (I >= 2 || A >= 2 || I >= 2 || 0 >= A) && (I >= 2 || A >= 2 || I >= 2 || 0 >= I) && (I >= 2 || A >= 2 || I >= 2 || H >= I) && (I >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (I >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || I >= 2 || Q >= 2 + X$) && (I >= 2 || A >= 2 || H >= I || 0 >= A) && (I >= 2 || A >= 2 || H >= I || 0 >= I) && (I >= 2 || A >= 2 || H >= I || H >= I) && (I >= 2 || A >= 2 || H >= I || P >= 2*X$) && (I >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || H >= I || Q >= 2 + X$) && (I >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (I >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (I >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (I >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (I >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= A) && (I >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= I) && (I >= 2 || A >= 2 || Q >= 2 + X$ || H >= I) && (I >= 2 || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || 0 >= I || 0 >= A || 0 >= A) && (I >= 2 || 0 >= I || 0 >= A || 0 >= I) && (I >= 2 || 0 >= I || 0 >= A || H >= I) && (I >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (I >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || 0 >= A || Q >= 2 + X$) && (I >= 2 || 0 >= I || I >= 2 || 0 >= A) && (I >= 2 || 0 >= I || I >= 2 || 0 >= I) && (I >= 2 || 0 >= I || I >= 2 || H >= I) && (I >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (I >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || I >= 2 || Q >= 2 + X$) && (I >= 2 || 0 >= I || H >= I || 0 >= A) && (I >= 2 || 0 >= I || H >= I || 0 >= I) && (I >= 2 || 0 >= I || H >= I || H >= I) && (I >= 2 || 0 >= I || H >= I || P >= 2*X$) && (I >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || H >= I || Q >= 2 + X$) && (I >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (I >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (I >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (I >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (I >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= A) && (I >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= I) && (I >= 2 || 0 >= I || Q >= 2 + X$ || H >= I) && (I >= 2 || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || H >= I || 0 >= A || 0 >= A) && (I >= 2 || H >= I || 0 >= A || 0 >= I) && (I >= 2 || H >= I || 0 >= A || H >= I) && (I >= 2 || H >= I || 0 >= A || P >= 2*X$) && (I >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 0 >= A || Q >= 2 + X$) && (I >= 2 || H >= I || I >= 2 || 0 >= A) && (I >= 2 || H >= I || I >= 2 || 0 >= I) && (I >= 2 || H >= I || I >= 2 || H >= I) && (I >= 2 || H >= I || I >= 2 || P >= 2*X$) && (I >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || H >= I || I >= 2 || Q >= 2 + X$) && (I >= 2 || H >= I || H >= I || 0 >= A) && (I >= 2 || H >= I || H >= I || 0 >= I) && (I >= 2 || H >= I || H >= I || H >= I) && (I >= 2 || H >= I || H >= I || P >= 2*X$) && (I >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (I >= 2 || H >= I || H >= I || Q >= 2 + X$) && (I >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (I >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (I >= 2 || H >= I || P >= 2*X$ || H >= I) && (I >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (I >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || H >= I || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (I >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || H >= I || Q >= 2 + X$ || 0 >= A) && (I >= 2 || H >= I || Q >= 2 + X$ || 0 >= I) && (I >= 2 || H >= I || Q >= 2 + X$ || H >= I) && (I >= 2 || H >= I || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (I >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (I >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (I >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (I >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (I >= 2 || P >= 2*X$ || H >= I || H >= I) && (I >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (I >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || H >= I || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || H >= I) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || H >= I || H >= I) && (I >= 2 || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= A) && (I >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= I) && (I >= 2 || Q >= 2 + X$ || 0 >= A || H >= I) && (I >= 2 || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= A) && (I >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= I) && (I >= 2 || Q >= 2 + X$ || I >= 2 || H >= I) && (I >= 2 || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || H >= I || 0 >= A) && (I >= 2 || Q >= 2 + X$ || H >= I || 0 >= I) && (I >= 2 || Q >= 2 + X$ || H >= I || H >= I) && (I >= 2 || Q >= 2 + X$ || H >= I || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || A >= 2 || 0 >= A || 0 >= A) && (H >= I || A >= 2 || 0 >= A || 0 >= I) && (H >= I || A >= 2 || 0 >= A || H >= I) && (H >= I || A >= 2 || 0 >= A || P >= 2*X$) && (H >= I || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (H >= I || A >= 2 || 0 >= A || Q >= 2 + X$) && (H >= I || A >= 2 || I >= 2 || 0 >= A) && (H >= I || A >= 2 || I >= 2 || 0 >= I) && (H >= I || A >= 2 || I >= 2 || H >= I) && (H >= I || A >= 2 || I >= 2 || P >= 2*X$) && (H >= I || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (H >= I || A >= 2 || I >= 2 || Q >= 2 + X$) && (H >= I || A >= 2 || H >= I || 0 >= A) && (H >= I || A >= 2 || H >= I || 0 >= I) && (H >= I || A >= 2 || H >= I || H >= I) && (H >= I || A >= 2 || H >= I || P >= 2*X$) && (H >= I || A >= 2 || H >= I || 3*X$ >= 1 + P) && (H >= I || A >= 2 || H >= I || Q >= 2 + X$) && (H >= I || A >= 2 || P >= 2*X$ || 0 >= A) && (H >= I || A >= 2 || P >= 2*X$ || 0 >= I) && (H >= I || A >= 2 || P >= 2*X$ || H >= I) && (H >= I || A >= 2 || P >= 2*X$ || P >= 2*X$) && (H >= I || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (H >= I || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (H >= I || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (H >= I || A >= 2 || 3*X$ >= 1 + P || H >= I) && (H >= I || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || A >= 2 || Q >= 2 + X$ || 0 >= A) && (H >= I || A >= 2 || Q >= 2 + X$ || 0 >= I) && (H >= I || A >= 2 || Q >= 2 + X$ || H >= I) && (H >= I || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (H >= I || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || 0 >= I || 0 >= A || 0 >= A) && (H >= I || 0 >= I || 0 >= A || 0 >= I) && (H >= I || 0 >= I || 0 >= A || H >= I) && (H >= I || 0 >= I || 0 >= A || P >= 2*X$) && (H >= I || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 0 >= I || 0 >= A || Q >= 2 + X$) && (H >= I || 0 >= I || I >= 2 || 0 >= A) && (H >= I || 0 >= I || I >= 2 || 0 >= I) && (H >= I || 0 >= I || I >= 2 || H >= I) && (H >= I || 0 >= I || I >= 2 || P >= 2*X$) && (H >= I || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 0 >= I || I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I || H >= I || 0 >= A) && (H >= I || 0 >= I || H >= I || 0 >= I) && (H >= I || 0 >= I || H >= I || H >= I) && (H >= I || 0 >= I || H >= I || P >= 2*X$) && (H >= I || 0 >= I || H >= I || 3*X$ >= 1 + P) && (H >= I || 0 >= I || H >= I || Q >= 2 + X$) && (H >= I || 0 >= I || P >= 2*X$ || 0 >= A) && (H >= I || 0 >= I || P >= 2*X$ || 0 >= I) && (H >= I || 0 >= I || P >= 2*X$ || H >= I) && (H >= I || 0 >= I || P >= 2*X$ || P >= 2*X$) && (H >= I || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (H >= I || 0 >= I || 3*X$ >= 1 + P || H >= I) && (H >= I || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || 0 >= I || Q >= 2 + X$ || 0 >= A) && (H >= I || 0 >= I || Q >= 2 + X$ || 0 >= I) && (H >= I || 0 >= I || Q >= 2 + X$ || H >= I) && (H >= I || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (H >= I || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || H >= I || 0 >= A || 0 >= A) && (H >= I || H >= I || 0 >= A || 0 >= I) && (H >= I || H >= I || 0 >= A || H >= I) && (H >= I || H >= I || 0 >= A || P >= 2*X$) && (H >= I || H >= I || 0 >= A || 3*X$ >= 1 + P) && (H >= I || H >= I || 0 >= A || Q >= 2 + X$) && (H >= I || H >= I || I >= 2 || 0 >= A) && (H >= I || H >= I || I >= 2 || 0 >= I) && (H >= I || H >= I || I >= 2 || H >= I) && (H >= I || H >= I || I >= 2 || P >= 2*X$) && (H >= I || H >= I || I >= 2 || 3*X$ >= 1 + P) && (H >= I || H >= I || I >= 2 || Q >= 2 + X$) && (H >= I || H >= I || H >= I || 0 >= A) && (H >= I || H >= I || H >= I || 0 >= I) && (H >= I || H >= I || H >= I || H >= I) && (H >= I || H >= I || H >= I || P >= 2*X$) && (H >= I || H >= I || H >= I || 3*X$ >= 1 + P) && (H >= I || H >= I || H >= I || Q >= 2 + X$) && (H >= I || H >= I || P >= 2*X$ || 0 >= A) && (H >= I || H >= I || P >= 2*X$ || 0 >= I) && (H >= I || H >= I || P >= 2*X$ || H >= I) && (H >= I || H >= I || P >= 2*X$ || P >= 2*X$) && (H >= I || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || H >= I || P >= 2*X$ || Q >= 2 + X$) && (H >= I || H >= I || 3*X$ >= 1 + P || 0 >= A) && (H >= I || H >= I || 3*X$ >= 1 + P || 0 >= I) && (H >= I || H >= I || 3*X$ >= 1 + P || H >= I) && (H >= I || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || H >= I || Q >= 2 + X$ || 0 >= A) && (H >= I || H >= I || Q >= 2 + X$ || 0 >= I) && (H >= I || H >= I || Q >= 2 + X$ || H >= I) && (H >= I || H >= I || Q >= 2 + X$ || P >= 2*X$) && (H >= I || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || P >= 2*X$ || 0 >= A || 0 >= A) && (H >= I || P >= 2*X$ || 0 >= A || 0 >= I) && (H >= I || P >= 2*X$ || 0 >= A || H >= I) && (H >= I || P >= 2*X$ || 0 >= A || P >= 2*X$) && (H >= I || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (H >= I || P >= 2*X$ || I >= 2 || 0 >= A) && (H >= I || P >= 2*X$ || I >= 2 || 0 >= I) && (H >= I || P >= 2*X$ || I >= 2 || H >= I) && (H >= I || P >= 2*X$ || I >= 2 || P >= 2*X$) && (H >= I || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (H >= I || P >= 2*X$ || H >= I || 0 >= A) && (H >= I || P >= 2*X$ || H >= I || 0 >= I) && (H >= I || P >= 2*X$ || H >= I || H >= I) && (H >= I || P >= 2*X$ || H >= I || P >= 2*X$) && (H >= I || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || H >= I || Q >= 2 + X$) && (H >= I || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (H >= I || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (H >= I || P >= 2*X$ || P >= 2*X$ || H >= I) && (H >= I || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (H >= I || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 0 >= A || H >= I) && (H >= I || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (H >= I || 3*X$ >= 1 + P || I >= 2 || H >= I) && (H >= I || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || H >= I || 0 >= A) && (H >= I || 3*X$ >= 1 + P || H >= I || 0 >= I) && (H >= I || 3*X$ >= 1 + P || H >= I || H >= I) && (H >= I || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || 0 >= A || 0 >= A) && (H >= I || Q >= 2 + X$ || 0 >= A || 0 >= I) && (H >= I || Q >= 2 + X$ || 0 >= A || H >= I) && (H >= I || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (H >= I || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || I >= 2 || 0 >= A) && (H >= I || Q >= 2 + X$ || I >= 2 || 0 >= I) && (H >= I || Q >= 2 + X$ || I >= 2 || H >= I) && (H >= I || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (H >= I || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || H >= I || 0 >= A) && (H >= I || Q >= 2 + X$ || H >= I || 0 >= I) && (H >= I || Q >= 2 + X$ || H >= I || H >= I) && (H >= I || Q >= 2 + X$ || H >= I || P >= 2*X$) && (H >= I || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || 0 >= A || 0 >= A) && (P >= 2*X$ || A >= 2 || 0 >= A || 0 >= I) && (P >= 2*X$ || A >= 2 || 0 >= A || H >= I) && (P >= 2*X$ || A >= 2 || 0 >= A || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || I >= 2 || 0 >= A) && (P >= 2*X$ || A >= 2 || I >= 2 || 0 >= I) && (P >= 2*X$ || A >= 2 || I >= 2 || H >= I) && (P >= 2*X$ || A >= 2 || I >= 2 || P >= 2*X$) && (P >= 2*X$ || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= A) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= I) && (P >= 2*X$ || A >= 2 || H >= I || H >= I) && (P >= 2*X$ || A >= 2 || H >= I || P >= 2*X$) && (P >= 2*X$ || A >= 2 || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || H >= I || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || H >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || H >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || H >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= A) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= I) && (P >= 2*X$ || 0 >= I || H >= I || H >= I) && (P >= 2*X$ || 0 >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || H >= I || 0 >= A || H >= I) && (P >= 2*X$ || H >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || H >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || H >= I || I >= 2 || H >= I) && (P >= 2*X$ || H >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || H >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || H >= I || H >= I || 0 >= A) && (P >= 2*X$ || H >= I || H >= I || 0 >= I) && (P >= 2*X$ || H >= I || H >= I || H >= I) && (P >= 2*X$ || H >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || H >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || H >= I || Q >= 2 + X$) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || H >= I) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || H >= I) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || H >= I || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || H >= I || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || H >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || H >= I || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || H >= I) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || H >= I) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || H >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || H >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || H >= I || H >= I || H >= I) && (3*X$ >= 1 + P || H >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 0 >= A) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 0 >= I) && (Q >= 2 + X$ || A >= 2 || 0 >= A || H >= I) && (Q >= 2 + X$ || A >= 2 || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 0 >= A) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 0 >= I) && (Q >= 2 + X$ || A >= 2 || I >= 2 || H >= I) && (Q >= 2 + X$ || A >= 2 || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || H >= I || 0 >= A) && (Q >= 2 + X$ || A >= 2 || H >= I || 0 >= I) && (Q >= 2 + X$ || A >= 2 || H >= I || H >= I) && (Q >= 2 + X$ || A >= 2 || H >= I || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 0 >= A) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 0 >= I) && (Q >= 2 + X$ || 0 >= I || 0 >= A || H >= I) && (Q >= 2 + X$ || 0 >= I || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 0 >= A) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 0 >= I) && (Q >= 2 + X$ || 0 >= I || I >= 2 || H >= I) && (Q >= 2 + X$ || 0 >= I || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || H >= I || 0 >= A) && (Q >= 2 + X$ || 0 >= I || H >= I || 0 >= I) && (Q >= 2 + X$ || 0 >= I || H >= I || H >= I) && (Q >= 2 + X$ || 0 >= I || H >= I || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || 0 >= A || 0 >= A) && (Q >= 2 + X$ || H >= I || 0 >= A || 0 >= I) && (Q >= 2 + X$ || H >= I || 0 >= A || H >= I) && (Q >= 2 + X$ || H >= I || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || H >= I || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || I >= 2 || 0 >= A) && (Q >= 2 + X$ || H >= I || I >= 2 || 0 >= I) && (Q >= 2 + X$ || H >= I || I >= 2 || H >= I) && (Q >= 2 + X$ || H >= I || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || H >= I || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || H >= I || 0 >= A) && (Q >= 2 + X$ || H >= I || H >= I || 0 >= I) && (Q >= 2 + X$ || H >= I || H >= I || H >= I) && (Q >= 2 + X$ || H >= I || H >= I || P >= 2*X$) && (Q >= 2 + X$ || H >= I || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,49,50,51,64,70},13->{13,49,50,51,64,70},18->{42,43,68,69},24->{2,52},25->{42,43,68,69} ,34->{8,18},42->{13,49,50,51,64,70},43->{42,43,68,69},49->{13,49,50,51,64,70},50->{13,49,50,51,64,70} ,51->{42,43,68,69},52->{2,52},58->{13,49,50,51,64,70},59->{42,43,68,69},64->{13,49,50,51,64,70},66->{} ,68->{13,49,50,51,64,70},69->{42,43,68,69},70->{13,49,50,51,64,70},75->{},76->{13,49,50,51,64,70},77->{42,43 ,68,69}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<68,0,A>, A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, H) (<68,0,J>, J) (<68,0,K>, ?) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1 + H) (<69,0,J>, J) (<69,0,K>, ?) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) (<70,0,A>, A) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, H) (<70,0,I>, 1 + H + I) (<70,0,J>, J) (<70,0,K>, 1 + J) (<70,0,N>, 1) (<70,0,O>, 0) (<70,0,P>, P) (<70,0,Q>, ?) (<75,0,A>, A) (<75,0,B>, ?) (<75,0,C>, ?) (<75,0,F>, ?) (<75,0,G>, ?) (<75,0,H>, H) (<75,0,I>, I) (<75,0,J>, J) (<75,0,K>, K) (<75,0,N>, N) (<75,0,O>, O) (<75,0,P>, P) (<75,0,Q>, Q) (<76,0,A>, A) (<76,0,B>, ?) (<76,0,C>, ?) (<76,0,F>, ?) (<76,0,G>, ?) (<76,0,H>, H) (<76,0,I>, I) (<76,0,J>, J) (<76,0,K>, K) (<76,0,N>, 1) (<76,0,O>, 0) (<76,0,P>, P) (<76,0,Q>, Q) (<77,0,A>, A) (<77,0,B>, ?) (<77,0,C>, ?) (<77,0,F>, ?) (<77,0,G>, ?) (<77,0,H>, H) (<77,0,I>, 1 + I) (<77,0,J>, J) (<77,0,K>, K) (<77,0,N>, 1) (<77,0,O>, 0) (<77,0,P>, P) (<77,0,Q>, Q) + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(13,13) ,(13,49) ,(13,51) ,(25,42) ,(25,43) ,(43,42) ,(43,43) ,(49,13) ,(49,49) ,(50,13) ,(50,49) ,(52,2) ,(59,42) ,(59,43) ,(64,49) ,(64,51)] * Step 57: LocalSizeboundsProc WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 69. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*H + 2*I,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 70. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [(Q >= 2 || Q >= 2) (3 + J + 2*K,4) && (Q >= 2 || J >= K) && (Q >= 2 || Q >= 2*F1$) && (Q >= 2 || 3*F1$ >= 1 + Q) && (Q >= 2 || 0 >= K) && (J >= K || Q >= 2) && (J >= K || J >= K) && (J >= K || Q >= 2*F1$) && (J >= K || 3*F1$ >= 1 + Q) && (J >= K || 0 >= K) && (Q >= 2*F1$ || Q >= 2) && (Q >= 2*F1$ || J >= K) && (Q >= 2*F1$ || Q >= 2*F1$) && (Q >= 2*F1$ || 3*F1$ >= 1 + Q) && (Q >= 2*F1$ || 0 >= K) && (3*F1$ >= 1 + Q || Q >= 2) && (3*F1$ >= 1 + Q || J >= K) && (3*F1$ >= 1 + Q || Q >= 2*F1$) && (3*F1$ >= 1 + Q || 3*F1$ >= 1 + Q) && (3*F1$ >= 1 + Q || 0 >= K) && (K >= 2 || Q >= 2) && (K >= 2 || J >= K) && (K >= 2 || Q >= 2*F1$) && (K >= 2 || 3*F1$ >= 1 + Q) && (K >= 2 || 0 >= K)] 75. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,8) && (A >= 2 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 2 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 2 || A >= 2 || A >= 0 || 0 >= A) && (A >= 2 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 2 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (A >= 0 || A >= 2 || 0 >= A || 0 >= A) && (A >= 0 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 0 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 0 || A >= 2 || A >= 0 || 0 >= A) && (A >= 0 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 0 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= A) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || 0 >= A || I >= 1 + H) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= A) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= A) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= A) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || 0 >= A || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= A) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || A >= 0 || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || I >= 1 + H)] 76. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,12) && (A >= 2 || A >= 2 || 0 >= A || 0 >= I) && (A >= 2 || A >= 2 || 0 >= A || H >= I) && (A >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (A >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 0 >= A || 1 + X$ >= Q) && (A >= 2 || A >= 2 || I >= 2 || 0 >= A) && (A >= 2 || A >= 2 || I >= 2 || 0 >= I) && (A >= 2 || A >= 2 || I >= 2 || H >= I) && (A >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (A >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || I >= 2 || 1 + X$ >= Q) && (A >= 2 || A >= 2 || H >= I || 0 >= A) && (A >= 2 || A >= 2 || H >= I || 0 >= I) && (A >= 2 || A >= 2 || H >= I || H >= I) && (A >= 2 || A >= 2 || H >= I || P >= 2*X$) && (A >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || H >= I || 1 + X$ >= Q) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= A) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= I) && (A >= 2 || A >= 2 || 1 + X$ >= Q || H >= I) && (A >= 2 || A >= 2 || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 0 >= A || 0 >= A) && (A >= 2 || 0 >= I || 0 >= A || 0 >= I) && (A >= 2 || 0 >= I || 0 >= A || H >= I) && (A >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (A >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 0 >= A || 1 + X$ >= Q) && (A >= 2 || 0 >= I || I >= 2 || 0 >= A) && (A >= 2 || 0 >= I || I >= 2 || 0 >= I) && (A >= 2 || 0 >= I || I >= 2 || H >= I) && (A >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (A >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || I >= 2 || 1 + X$ >= Q) && (A >= 2 || 0 >= I || H >= I || 0 >= A) && (A >= 2 || 0 >= I || H >= I || 0 >= I) && (A >= 2 || 0 >= I || H >= I || H >= I) && (A >= 2 || 0 >= I || H >= I || P >= 2*X$) && (A >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || H >= I || 1 + X$ >= Q) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 0 >= A) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 0 >= I) && (A >= 2 || 0 >= I || 1 + X$ >= Q || H >= I) && (A >= 2 || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || H >= I || 0 >= A || 0 >= A) && (A >= 2 || H >= I || 0 >= A || 0 >= I) && (A >= 2 || H >= I || 0 >= A || H >= I) && (A >= 2 || H >= I || 0 >= A || P >= 2*X$) && (A >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 0 >= A || 1 + X$ >= Q) && (A >= 2 || H >= I || I >= 2 || 0 >= A) && (A >= 2 || H >= I || I >= 2 || 0 >= I) && (A >= 2 || H >= I || I >= 2 || H >= I) && (A >= 2 || H >= I || I >= 2 || P >= 2*X$) && (A >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || H >= I || I >= 2 || 1 + X$ >= Q) && (A >= 2 || H >= I || H >= I || 0 >= A) && (A >= 2 || H >= I || H >= I || 0 >= I) && (A >= 2 || H >= I || H >= I || H >= I) && (A >= 2 || H >= I || H >= I || P >= 2*X$) && (A >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || H >= I || H >= I || 1 + X$ >= Q) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || H >= I || P >= 2*X$ || H >= I) && (A >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || H >= I || 1 + X$ >= Q || 0 >= A) && (A >= 2 || H >= I || 1 + X$ >= Q || 0 >= I) && (A >= 2 || H >= I || 1 + X$ >= Q || H >= I) && (A >= 2 || H >= I || 1 + X$ >= Q || P >= 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P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (I >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (I >= 2 || P >= 2*X$ || H >= I || H >= I) && (I >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (I >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + 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|| 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || H >= I || 0 >= A || H >= I) && (P >= 2*X$ || H >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || H >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || H >= I || I >= 2 || H >= I) && (P >= 2*X$ || H >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || H >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || H >= I || 0 >= A) && (P >= 2*X$ || H >= I || H >= I || 0 >= I) && (P >= 2*X$ || H >= I || H >= I || H >= I) && (P >= 2*X$ || H >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || H >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || H >= I) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || H >= I) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || H >= I || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || H >= I || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || H >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || H >= I || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || H >= I || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || H >= I || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || H >= I || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || H >= I) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || H >= I) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || H >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || H >= I || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2 || 1 + X$ >= Q || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 1 + X$ >= Q || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 1 + X$ >= Q || H >= I) && (3*X$ >= 1 + P || A >= 2 || 1 + X$ >= Q || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || H >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || H >= I || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || H >= I) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 0 >= A || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || I >= 2 || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || H >= I || H >= I || H >= I) && (3*X$ >= 1 + P || H >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || H >= I || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || 1 + X$ >= Q || 0 >= A) 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(1 + X$ >= Q || H >= I || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || H >= I) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || H >= I || H >= I) && (1 + X$ >= Q || P >= 2*X$ || H >= I || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || H >= I) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q)] 77. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,12) && (A >= 2 || A >= 2 || 0 >= A || 0 >= I) && (A >= 2 || A >= 2 || 0 >= A || H >= I) && (A >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (A >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 0 >= A || Q >= 2 + X$) && (A >= 2 || A >= 2 || I >= 2 || 0 >= A) && (A >= 2 || A >= 2 || I >= 2 || 0 >= I) && (A >= 2 || A >= 2 || I >= 2 || H >= I) && (A >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (A >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || I >= 2 || Q >= 2 + X$) && (A >= 2 || A >= 2 || H >= I || 0 >= A) && (A >= 2 || A >= 2 || H >= I || 0 >= I) && (A >= 2 || A >= 2 || H >= I || H >= I) && (A >= 2 || A >= 2 || H >= I || P >= 2*X$) && (A >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || H >= I || Q >= 2 + X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= A) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= I) && (A >= 2 || A >= 2 || Q >= 2 + X$ || H >= I) && (A >= 2 || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || 0 >= I || 0 >= A || 0 >= A) && (A >= 2 || 0 >= I || 0 >= A || 0 >= I) && (A >= 2 || 0 >= I || 0 >= A || H >= I) && (A >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (A >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 0 >= A || Q >= 2 + X$) && (A >= 2 || 0 >= I || I >= 2 || 0 >= A) && (A >= 2 || 0 >= I || I >= 2 || 0 >= I) && (A >= 2 || 0 >= I || I >= 2 || H >= I) && (A >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (A >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || I >= 2 || Q >= 2 + X$) && (A >= 2 || 0 >= I || H >= I || 0 >= A) && (A >= 2 || 0 >= I || H >= I || 0 >= I) && (A >= 2 || 0 >= I || H >= I || H >= I) && (A >= 2 || 0 >= I || H >= I || P >= 2*X$) && (A >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || H >= I || Q >= 2 + X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= A) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= I) && (A >= 2 || 0 >= I || Q >= 2 + X$ || H >= I) && (A >= 2 || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || H >= I || 0 >= A || 0 >= A) && (A >= 2 || H >= I || 0 >= A || 0 >= I) && (A >= 2 || H >= I || 0 >= A || H >= I) && (A >= 2 || H >= I || 0 >= A || P >= 2*X$) && (A >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 0 >= A || Q >= 2 + X$) && (A >= 2 || H >= I || I >= 2 || 0 >= A) && (A >= 2 || H >= I || I >= 2 || 0 >= I) && (A >= 2 || H >= I || I >= 2 || H >= I) && (A >= 2 || H >= I || I >= 2 || P >= 2*X$) && (A >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || H >= I || I >= 2 || Q >= 2 + X$) && (A >= 2 || H >= I || H >= I || 0 >= A) && (A >= 2 || H >= I || H >= I || 0 >= I) && (A >= 2 || H >= I || H >= I || H >= I) && (A >= 2 || H >= I || H >= I || P >= 2*X$) && (A >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || H >= I || H >= I || Q >= 2 + X$) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || H >= I || P >= 2*X$ || H >= I) && (A >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || H >= I || Q >= 2 + X$ || 0 >= A) && (A >= 2 || H >= I || Q >= 2 + X$ || 0 >= I) && (A >= 2 || H >= I || Q >= 2 + X$ || H >= I) && (A >= 2 || H >= I || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (A >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (A >= 2 || P >= 2*X$ || H >= I || H >= I) && (A >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (A >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || H >= I || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || H >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || H >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= A) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= I) && (A >= 2 || Q >= 2 + X$ || 0 >= A || H >= I) && (A >= 2 || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= A) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= I) && (A >= 2 || Q >= 2 + X$ || I >= 2 || H >= I) && (A >= 2 || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || H >= I || 0 >= A) && (A >= 2 || Q >= 2 + X$ || H >= I || 0 >= I) && (A >= 2 || Q >= 2 + X$ || H >= I || H >= I) && (A >= 2 || Q >= 2 + X$ || H >= I || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (A >= 2 || Q >= 2 + X$ 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H >= I) && (P >= 2*X$ || A >= 2 || I >= 2 || P >= 2*X$) && (P >= 2*X$ || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= A) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= I) && (P >= 2*X$ || A >= 2 || H >= I || H >= I) && (P >= 2*X$ || A >= 2 || H >= I || P >= 2*X$) && (P >= 2*X$ || A >= 2 || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || H >= I || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || H >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || H >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || H >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= A) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= I) && (P >= 2*X$ || 0 >= I || H >= I || H >= I) && (P >= 2*X$ || 0 >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || H >= I || 0 >= A || H >= I) && (P >= 2*X$ || H >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || H >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || H >= I || I >= 2 || H >= I) && (P >= 2*X$ || H >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || H >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || H >= I || H >= I || 0 >= A) && (P >= 2*X$ || H >= I || H >= I || 0 >= I) && (P >= 2*X$ || H >= I || H >= I || H >= I) && (P >= 2*X$ || H >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || H >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || H >= I || Q >= 2 + X$) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 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I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 0 >= A) && (3*X$ >= 1 + P 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2*X$ || H >= I) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || H >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || H >= I || H >= I || H >= I) && (3*X$ >= 1 + P || H >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 0 >= A) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 0 >= I) && (Q >= 2 + X$ || A >= 2 || 0 >= A || H >= I) && (Q >= 2 + X$ || A >= 2 || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 0 >= A) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 0 >= I) && (Q >= 2 + X$ || A >= 2 || I >= 2 || H >= I) && (Q >= 2 + X$ || A >= 2 || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || H >= I || 0 >= A) && (Q >= 2 + X$ || A >= 2 || H >= I || 0 >= I) && (Q >= 2 + X$ || A >= 2 || H >= I || H >= I) && (Q >= 2 + X$ || A >= 2 || H >= I || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 0 >= A) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 0 >= I) && (Q >= 2 + X$ || 0 >= I || 0 >= A || H >= I) && (Q >= 2 + X$ || 0 >= I || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 0 >= A) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 0 >= I) && (Q >= 2 + X$ || 0 >= I || I >= 2 || H >= I) && (Q >= 2 + X$ || 0 >= I || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || H >= I || 0 >= A) && (Q >= 2 + X$ || 0 >= I || H >= I || 0 >= I) && (Q >= 2 + X$ || 0 >= I || H >= I || H >= I) && (Q >= 2 + X$ || 0 >= I || H >= I || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || 0 >= A || 0 >= A) && (Q >= 2 + X$ || H >= I || 0 >= A || 0 >= I) && (Q >= 2 + X$ || H >= I || 0 >= A || H >= I) && (Q >= 2 + X$ || H >= I || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || H >= I || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || I >= 2 || 0 >= A) && (Q >= 2 + X$ || H >= I || I >= 2 || 0 >= I) && (Q >= 2 + X$ || H >= I || I >= 2 || H >= I) && (Q >= 2 + X$ || H >= I || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || H >= I || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || H >= I || 0 >= A) && (Q >= 2 + X$ || H >= I || H >= I || 0 >= I) && (Q >= 2 + X$ || H >= I || H >= I || H >= I) && (Q >= 2 + X$ || H >= I || H >= I || P >= 2*X$) && (Q >= 2 + X$ || H >= I || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,49,50,51,64,70},13->{50,64,70},18->{42,43,68,69},24->{2,52},25->{68,69},34->{8,18} ,42->{13,49,50,51,64,70},43->{68,69},49->{50,51,64,70},50->{50,51,64,70},51->{42,43,68,69},52->{52},58->{13 ,49,50,51,64,70},59->{68,69},64->{13,50,64,70},66->{},68->{13,49,50,51,64,70},69->{42,43,68,69},70->{13,49 ,50,51,64,70},75->{},76->{13,49,50,51,64,70},77->{42,43,68,69}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, 1 + H + I) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, 1) (<13,0,O>, 0) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, ?) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, ?) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<49,0,A>, A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, 1 + H + I) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, 1) (<49,0,O>, 0) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, 1 + H + I) (<50,0,J>, J) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, 1 + H + I) (<51,0,J>, J) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H) (<52,0,J>, J) (<52,0,K>, 1 + J + K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<64,0,A>, A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, 1 + H + I) (<64,0,J>, J) (<64,0,K>, 1 + J) (<64,0,N>, 1) (<64,0,O>, 0) (<64,0,P>, P) (<64,0,Q>, 1) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<68,0,A>, A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, H) (<68,0,J>, J) (<68,0,K>, ?) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1 + H) (<69,0,J>, J) (<69,0,K>, ?) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) (<70,0,A>, A) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, H) (<70,0,I>, 1 + H + I) (<70,0,J>, J) (<70,0,K>, 1 + J) (<70,0,N>, 1) (<70,0,O>, 0) (<70,0,P>, P) (<70,0,Q>, ?) (<75,0,A>, A) (<75,0,B>, ?) (<75,0,C>, ?) (<75,0,F>, ?) (<75,0,G>, ?) (<75,0,H>, H) (<75,0,I>, I) (<75,0,J>, J) (<75,0,K>, K) (<75,0,N>, N) (<75,0,O>, O) (<75,0,P>, P) (<75,0,Q>, Q) (<76,0,A>, A) (<76,0,B>, ?) (<76,0,C>, ?) (<76,0,F>, ?) (<76,0,G>, ?) (<76,0,H>, H) (<76,0,I>, I) (<76,0,J>, J) (<76,0,K>, K) (<76,0,N>, 1) (<76,0,O>, 0) (<76,0,P>, P) (<76,0,Q>, Q) (<77,0,A>, A) (<77,0,B>, ?) (<77,0,C>, ?) (<77,0,F>, ?) (<77,0,G>, ?) (<77,0,H>, H) (<77,0,I>, 1 + I) (<77,0,J>, J) (<77,0,K>, K) (<77,0,N>, 1) (<77,0,O>, 0) (<77,0,P>, P) (<77,0,Q>, Q) + Applied Processor: LocalSizeboundsProc + Details: LocalSizebounds generated; rvgraph (< 2,0,A>, A, .= 0) (< 2,0,B>, B, .= 0) (< 2,0,C>, C, .= 0) (< 2,0,F>, F, .= 0) (< 2,0,G>, G, .= 0) (< 2,0,H>, H, .= 0) (< 2,0,I>, I, .= 0) (< 2,0,J>, J, .= 0) (< 2,0,K>, 1 + K, .+ 1) (< 2,0,N>, N, .= 0) (< 2,0,O>, O, .= 0) (< 2,0,P>, P, .= 0) (< 2,0,Q>, Q, .= 0) (< 8,0,A>, A, .= 0) (< 8,0,B>, B, .= 0) (< 8,0,C>, C, .= 0) (< 8,0,F>, F, .= 0) (< 8,0,G>, G, .= 0) (< 8,0,H>, H, .= 0) (< 8,0,I>, I, .= 0) (< 8,0,J>, J, .= 0) (< 8,0,K>, K, .= 0) (< 8,0,N>, N, .= 0) (< 8,0,O>, O, .= 0) (< 8,0,P>, P, .= 0) (< 8,0,Q>, Q, .= 0) (<13,0,A>, A, .= 0) (<13,0,B>, B, .= 0) (<13,0,C>, C, .= 0) (<13,0,F>, F, .= 0) (<13,0,G>, G, .= 0) (<13,0,H>, H, .= 0) (<13,0,I>, I, .= 0) (<13,0,J>, J, .= 0) (<13,0,K>, 2, .= 2) (<13,0,N>, N, .= 0) (<13,0,O>, O, .= 0) (<13,0,P>, P, .= 0) (<13,0,Q>, 1, .= 1) (<18,0,A>, A, .= 0) (<18,0,B>, B, .= 0) (<18,0,C>, C, .= 0) (<18,0,F>, F, .= 0) (<18,0,G>, G, .= 0) (<18,0,H>, H, .= 0) (<18,0,I>, 1 + I, .+ 1) (<18,0,J>, J, .= 0) (<18,0,K>, K, .= 0) (<18,0,N>, N, .= 0) (<18,0,O>, O, .= 0) (<18,0,P>, P, .= 0) (<18,0,Q>, Q, .= 0) (<24,0,A>, 1, .= 1) (<24,0,B>, ?, .?) (<24,0,C>, ?, .?) (<24,0,F>, ?, .?) (<24,0,G>, ?, .?) (<24,0,H>, H, .= 0) (<24,0,I>, I, .= 0) (<24,0,J>, J, .= 0) (<24,0,K>, K, .= 0) (<24,0,N>, N, .= 0) (<24,0,O>, O, .= 0) (<24,0,P>, P, .= 0) (<24,0,Q>, Q, .= 0) (<25,0,A>, 1, .= 1) (<25,0,B>, ?, .?) (<25,0,C>, ?, .?) (<25,0,F>, ?, .?) (<25,0,G>, ?, .?) (<25,0,H>, H, .= 0) (<25,0,I>, I, .= 0) (<25,0,J>, J, .= 0) (<25,0,K>, K, .= 0) (<25,0,N>, N, .= 0) (<25,0,O>, O, .= 0) (<25,0,P>, P, .= 0) (<25,0,Q>, Q, .= 0) (<34,0,A>, A, .= 0) (<34,0,B>, ?, .?) (<34,0,C>, ?, .?) (<34,0,F>, ?, .?) (<34,0,G>, ?, .?) (<34,0,H>, H, .= 0) (<34,0,I>, 1, .= 1) (<34,0,J>, J, .= 0) (<34,0,K>, K, .= 0) (<34,0,N>, 1, .= 1) (<34,0,O>, 0, .= 0) (<34,0,P>, P, .= 0) (<34,0,Q>, Q, .= 0) (<42,0,A>, A, .= 0) (<42,0,B>, B, .= 0) (<42,0,C>, C, .= 0) (<42,0,F>, F, .= 0) (<42,0,G>, G, .= 0) (<42,0,H>, H, .= 0) (<42,0,I>, 1, .= 1) (<42,0,J>, J, .= 0) (<42,0,K>, K, .= 0) (<42,0,N>, 1, .= 1) (<42,0,O>, 0, .= 0) (<42,0,P>, P, .= 0) (<42,0,Q>, Q, .= 0) (<43,0,A>, A, .= 0) (<43,0,B>, B, .= 0) (<43,0,C>, C, .= 0) (<43,0,F>, F, .= 0) (<43,0,G>, G, .= 0) (<43,0,H>, H, .= 0) (<43,0,I>, 2, .= 2) (<43,0,J>, J, .= 0) (<43,0,K>, K, .= 0) (<43,0,N>, 1, .= 1) (<43,0,O>, 0, .= 0) (<43,0,P>, P, .= 0) (<43,0,Q>, Q, .= 0) (<49,0,A>, A, .= 0) (<49,0,B>, B, .= 0) (<49,0,C>, C, .= 0) (<49,0,F>, F, .= 0) (<49,0,G>, G, .= 0) (<49,0,H>, H, .= 0) (<49,0,I>, I, .= 0) (<49,0,J>, J, .= 0) (<49,0,K>, 2, .= 2) (<49,0,N>, N, .= 0) (<49,0,O>, O, .= 0) (<49,0,P>, P, .= 0) (<49,0,Q>, Q, .= 0) (<50,0,A>, A, .= 0) (<50,0,B>, B, .= 0) (<50,0,C>, C, .= 0) (<50,0,F>, F, .= 0) (<50,0,G>, G, .= 0) (<50,0,H>, H, .= 0) (<50,0,I>, I, .= 0) (<50,0,J>, J, .= 0) (<50,0,K>, K, .= 0) (<50,0,N>, ?, .?) (<50,0,O>, ?, .?) (<50,0,P>, P, .= 0) (<50,0,Q>, 1 + Q, .+ 1) (<51,0,A>, A, .= 0) (<51,0,B>, B, .= 0) (<51,0,C>, C, .= 0) (<51,0,F>, F, .= 0) (<51,0,G>, G, .= 0) (<51,0,H>, H, .= 0) (<51,0,I>, 1 + I, .+ 1) (<51,0,J>, J, .= 0) (<51,0,K>, K, .= 0) (<51,0,N>, ?, .?) (<51,0,O>, ?, .?) (<51,0,P>, P, .= 0) (<51,0,Q>, 1 + Q, .+ 1) (<52,0,A>, A, .= 0) (<52,0,B>, B, .= 0) (<52,0,C>, C, .= 0) (<52,0,F>, F, .= 0) (<52,0,G>, G, .= 0) (<52,0,H>, H, .= 0) (<52,0,I>, 1 + I, .+ 1) (<52,0,J>, J, .= 0) (<52,0,K>, K, .= 0) (<52,0,N>, N, .= 0) (<52,0,O>, O, .= 0) (<52,0,P>, P, .= 0) (<52,0,Q>, Q, .= 0) (<58,0,A>, A, .= 0) (<58,0,B>, ?, .?) (<58,0,C>, ?, .?) (<58,0,F>, ?, .?) (<58,0,G>, ?, .?) (<58,0,H>, H, .= 0) (<58,0,I>, 1, .= 1) (<58,0,J>, J, .= 0) (<58,0,K>, K, .= 0) (<58,0,N>, 1, .= 1) (<58,0,O>, 0, .= 0) (<58,0,P>, P, .= 0) (<58,0,Q>, Q, .= 0) (<59,0,A>, A, .= 0) (<59,0,B>, ?, .?) (<59,0,C>, ?, .?) (<59,0,F>, ?, .?) (<59,0,G>, ?, .?) (<59,0,H>, H, .= 0) (<59,0,I>, 2, .= 2) (<59,0,J>, J, .= 0) (<59,0,K>, K, .= 0) (<59,0,N>, 1, .= 1) (<59,0,O>, 0, .= 0) (<59,0,P>, P, .= 0) (<59,0,Q>, Q, .= 0) (<64,0,A>, A, .= 0) (<64,0,B>, B, .= 0) (<64,0,C>, C, .= 0) (<64,0,F>, F, .= 0) (<64,0,G>, G, .= 0) (<64,0,H>, H, .= 0) (<64,0,I>, I, .= 0) (<64,0,J>, J, .= 0) (<64,0,K>, 1 + K, .+ 1) (<64,0,N>, N, .= 0) (<64,0,O>, O, .= 0) (<64,0,P>, P, .= 0) (<64,0,Q>, 1, .= 1) (<66,0,A>, 1, .= 1) (<66,0,B>, ?, .?) (<66,0,C>, ?, .?) (<66,0,F>, ?, .?) (<66,0,G>, ?, .?) (<66,0,H>, H, .= 0) (<66,0,I>, I, .= 0) (<66,0,J>, J, .= 0) (<66,0,K>, K, .= 0) (<66,0,N>, N, .= 0) (<66,0,O>, O, .= 0) (<66,0,P>, P, .= 0) (<66,0,Q>, Q, .= 0) (<68,0,A>, A, .= 0) (<68,0,B>, B, .= 0) (<68,0,C>, C, .= 0) (<68,0,F>, F, .= 0) (<68,0,G>, G, .= 0) (<68,0,H>, H, .= 0) (<68,0,I>, I, .= 0) (<68,0,J>, J, .= 0) (<68,0,K>, K, .= 0) (<68,0,N>, 1, .= 1) (<68,0,O>, 0, .= 0) (<68,0,P>, P, .= 0) (<68,0,Q>, Q, .= 0) (<69,0,A>, A, .= 0) (<69,0,B>, B, .= 0) (<69,0,C>, C, .= 0) (<69,0,F>, F, .= 0) (<69,0,G>, G, .= 0) (<69,0,H>, H, .= 0) (<69,0,I>, 1 + I, .+ 1) (<69,0,J>, J, .= 0) (<69,0,K>, K, .= 0) (<69,0,N>, 1, .= 1) (<69,0,O>, 0, .= 0) (<69,0,P>, P, .= 0) (<69,0,Q>, Q, .= 0) (<70,0,A>, A, .= 0) (<70,0,B>, B, .= 0) (<70,0,C>, C, .= 0) (<70,0,F>, F, .= 0) (<70,0,G>, G, .= 0) (<70,0,H>, H, .= 0) (<70,0,I>, I, .= 0) (<70,0,J>, J, .= 0) (<70,0,K>, 1 + K, .+ 1) (<70,0,N>, N, .= 0) (<70,0,O>, O, .= 0) (<70,0,P>, P, .= 0) (<70,0,Q>, Q, .= 0) (<75,0,A>, A, .= 0) (<75,0,B>, ?, .?) (<75,0,C>, ?, .?) (<75,0,F>, ?, .?) (<75,0,G>, ?, .?) (<75,0,H>, H, .= 0) (<75,0,I>, I, .= 0) (<75,0,J>, J, .= 0) (<75,0,K>, K, .= 0) (<75,0,N>, N, .= 0) (<75,0,O>, O, .= 0) (<75,0,P>, P, .= 0) (<75,0,Q>, Q, .= 0) (<76,0,A>, A, .= 0) (<76,0,B>, ?, .?) (<76,0,C>, ?, .?) (<76,0,F>, ?, .?) (<76,0,G>, ?, .?) (<76,0,H>, H, .= 0) (<76,0,I>, I, .= 0) (<76,0,J>, J, .= 0) (<76,0,K>, K, .= 0) (<76,0,N>, 1, .= 1) (<76,0,O>, 0, .= 0) (<76,0,P>, P, .= 0) (<76,0,Q>, Q, .= 0) (<77,0,A>, A, .= 0) (<77,0,B>, ?, .?) (<77,0,C>, ?, .?) (<77,0,F>, ?, .?) (<77,0,G>, ?, .?) (<77,0,H>, H, .= 0) (<77,0,I>, 1 + I, .+ 1) (<77,0,J>, J, .= 0) (<77,0,K>, K, .= 0) (<77,0,N>, 1, .= 1) (<77,0,O>, 0, .= 0) (<77,0,P>, P, .= 0) (<77,0,Q>, Q, .= 0) * Step 58: SizeboundsProc WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 69. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*H + 2*I,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 70. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [(Q >= 2 || Q >= 2) (3 + J + 2*K,4) && (Q >= 2 || J >= K) && (Q >= 2 || Q >= 2*F1$) && (Q >= 2 || 3*F1$ >= 1 + Q) && (Q >= 2 || 0 >= K) && (J >= K || Q >= 2) && (J >= K || J >= K) && (J >= K || Q >= 2*F1$) && (J >= K || 3*F1$ >= 1 + Q) && (J >= K || 0 >= K) && (Q >= 2*F1$ || Q >= 2) && (Q >= 2*F1$ || J >= K) && (Q >= 2*F1$ || Q >= 2*F1$) && (Q >= 2*F1$ || 3*F1$ >= 1 + Q) && (Q >= 2*F1$ || 0 >= K) && (3*F1$ >= 1 + Q || Q >= 2) && (3*F1$ >= 1 + Q || J >= K) && (3*F1$ >= 1 + Q || Q >= 2*F1$) && (3*F1$ >= 1 + Q || 3*F1$ >= 1 + Q) && (3*F1$ >= 1 + Q || 0 >= K) && (K >= 2 || Q >= 2) && (K >= 2 || J >= K) && (K >= 2 || Q >= 2*F1$) && (K >= 2 || 3*F1$ >= 1 + Q) && (K >= 2 || 0 >= K)] 75. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,8) && (A >= 2 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 2 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 2 || A >= 2 || A >= 0 || 0 >= A) && (A >= 2 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 2 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (A >= 0 || A >= 2 || 0 >= A || 0 >= A) && (A >= 0 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 0 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 0 || A >= 2 || A >= 0 || 0 >= A) && (A >= 0 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 0 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= A) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || 0 >= A || I >= 1 + H) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= A) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= A) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= A) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || 0 >= A || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= A) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || A >= 0 || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || I >= 1 + H)] 76. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,12) && (A >= 2 || A >= 2 || 0 >= A || 0 >= I) && (A >= 2 || A >= 2 || 0 >= A || H >= I) && (A >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (A >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 0 >= A || 1 + X$ >= Q) && (A >= 2 || A >= 2 || I >= 2 || 0 >= A) && (A >= 2 || A >= 2 || I >= 2 || 0 >= I) && (A >= 2 || A >= 2 || I >= 2 || H >= I) && (A >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (A >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || I >= 2 || 1 + X$ >= Q) && (A >= 2 || A >= 2 || H >= I || 0 >= A) && (A >= 2 || A >= 2 || H >= I || 0 >= I) && (A >= 2 || A >= 2 || H >= I || H >= I) && (A >= 2 || A >= 2 || H >= I || P >= 2*X$) && (A >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || H >= I || 1 + X$ >= Q) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= A) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= I) && (A >= 2 || A >= 2 || 1 + X$ >= Q || H >= I) && (A >= 2 || A >= 2 || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 0 >= A || 0 >= A) && (A >= 2 || 0 >= I || 0 >= A || 0 >= I) && (A >= 2 || 0 >= I || 0 >= A || H >= I) && (A >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (A >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 0 >= A || 1 + X$ >= Q) && (A >= 2 || 0 >= I || I >= 2 || 0 >= A) && (A >= 2 || 0 >= I || I >= 2 || 0 >= I) && (A >= 2 || 0 >= I || I >= 2 || H >= I) && (A >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (A >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || I >= 2 || 1 + X$ >= Q) && (A >= 2 || 0 >= I || H >= I || 0 >= A) && (A >= 2 || 0 >= I || H >= I || 0 >= I) && (A >= 2 || 0 >= I || H >= I || H >= I) && (A >= 2 || 0 >= I || H >= I || P >= 2*X$) && (A >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || H >= I || 1 + X$ >= Q) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 0 >= A) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 0 >= I) && (A >= 2 || 0 >= I || 1 + X$ >= Q || H >= I) && (A >= 2 || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || H >= I || 0 >= A || 0 >= A) && (A >= 2 || H >= I || 0 >= A || 0 >= I) && (A >= 2 || H >= I || 0 >= A || H >= I) && (A >= 2 || H >= I || 0 >= A || P >= 2*X$) && (A >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 0 >= A || 1 + X$ >= Q) && (A >= 2 || H >= I || I >= 2 || 0 >= A) && (A >= 2 || H >= I || I >= 2 || 0 >= I) && (A >= 2 || H >= I || I >= 2 || H >= I) && (A >= 2 || H >= I || I >= 2 || P >= 2*X$) && (A >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || H >= I || I >= 2 || 1 + X$ >= Q) && (A >= 2 || H >= I || H >= I || 0 >= A) && (A >= 2 || H >= I || H >= I || 0 >= I) && (A >= 2 || H >= I || H >= I || H >= I) && (A >= 2 || H >= I || H >= I || P >= 2*X$) && (A >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || H >= I || H >= I || 1 + X$ >= Q) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || H >= I || P >= 2*X$ || H >= I) && (A >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || H >= I || 1 + X$ >= Q || 0 >= A) && (A >= 2 || H >= I || 1 + X$ >= Q || 0 >= I) && (A >= 2 || H >= I || 1 + X$ >= Q || H >= I) && (A >= 2 || H >= I || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (A >= 2 || P >= 2*X$ || 0 >= A 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>= Q) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || H >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= A) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= I) && (P >= 2*X$ || 0 >= I || H >= I || H >= I) && (P >= 2*X$ || 0 >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 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2*X$ || H >= I || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || H >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (P >= 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P >= 2*X$ || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || H >= I) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q)] 77. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,12) && (A >= 2 || A >= 2 || 0 >= A || 0 >= I) && (A >= 2 || A >= 2 || 0 >= A || H >= I) && (A >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (A >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 0 >= A || Q >= 2 + X$) && (A >= 2 || A >= 2 || I >= 2 || 0 >= A) && (A >= 2 || A >= 2 || I >= 2 || 0 >= I) && (A >= 2 || A >= 2 || I >= 2 || H >= I) && (A >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (A >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || I >= 2 || Q >= 2 + X$) && (A >= 2 || A >= 2 || H >= I || 0 >= A) && (A >= 2 || A >= 2 || H >= I || 0 >= I) && (A >= 2 || A >= 2 || H >= I || H >= I) && (A >= 2 || A >= 2 || H >= I || P >= 2*X$) && (A >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || H >= I || Q >= 2 + X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= A) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= I) && (A >= 2 || A >= 2 || Q >= 2 + X$ || H >= I) && (A >= 2 || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || 0 >= I || 0 >= A || 0 >= A) && (A >= 2 || 0 >= I || 0 >= A || 0 >= I) && (A >= 2 || 0 >= I || 0 >= A || H >= I) && (A >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (A >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 0 >= A || Q >= 2 + X$) && (A >= 2 || 0 >= I || I >= 2 || 0 >= A) && (A >= 2 || 0 >= I || I >= 2 || 0 >= I) && (A >= 2 || 0 >= I || I >= 2 || H >= I) && (A >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (A >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || I >= 2 || Q >= 2 + X$) && (A >= 2 || 0 >= I || H >= I || 0 >= A) && (A >= 2 || 0 >= I || H >= I || 0 >= I) && (A >= 2 || 0 >= I || H >= I || H >= I) && (A >= 2 || 0 >= I || H >= I || P >= 2*X$) && (A >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || H >= I || Q >= 2 + X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= A) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= I) && (A >= 2 || 0 >= I || Q >= 2 + X$ || H >= I) && (A >= 2 || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || H >= I || 0 >= A || 0 >= A) && (A >= 2 || H >= I || 0 >= A || 0 >= I) && (A >= 2 || H >= I || 0 >= A || H >= I) && (A >= 2 || H >= I || 0 >= A || P >= 2*X$) && (A >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 0 >= A || Q >= 2 + X$) && (A >= 2 || H >= I || I >= 2 || 0 >= A) && (A >= 2 || H >= I || I >= 2 || 0 >= I) && (A >= 2 || H >= I || I >= 2 || H >= I) && (A >= 2 || H >= I || I >= 2 || P >= 2*X$) && (A >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || H >= I || I >= 2 || Q >= 2 + X$) && (A >= 2 || H >= I || H >= I || 0 >= A) && (A >= 2 || H >= I || H >= I || 0 >= I) && (A >= 2 || H >= I || H >= I || H >= I) && (A >= 2 || H >= I || H >= I || P >= 2*X$) && (A >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || H >= I || H >= I || Q >= 2 + X$) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || H >= I || P >= 2*X$ || H >= I) && (A >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || H >= I || Q >= 2 + X$ || 0 >= A) && (A >= 2 || H >= I || Q >= 2 + X$ || 0 >= I) && (A >= 2 || H >= I || Q >= 2 + X$ || H >= I) && (A >= 2 || H >= I || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (A >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (A >= 2 || P >= 2*X$ || H >= I || H >= I) && (A >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (A >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || H >= I || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || H >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || H >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= A) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= I) && (A >= 2 || Q >= 2 + X$ || 0 >= A || H >= I) && (A >= 2 || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= A) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= I) && (A >= 2 || Q >= 2 + X$ || I >= 2 || H >= I) && (A >= 2 || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || H >= I || 0 >= A) && (A >= 2 || Q >= 2 + X$ || H >= I || 0 >= I) && (A >= 2 || Q >= 2 + X$ || H >= I || H >= I) && (A >= 2 || Q >= 2 + X$ || H >= I || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || A >= 2 || 0 >= A || 0 >= A) && (I >= 2 || A >= 2 || 0 >= A || 0 >= I) && (I >= 2 || A >= 2 || 0 >= A || H >= I) && (I >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (I >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || 0 >= A || Q >= 2 + X$) && (I >= 2 || A >= 2 || I >= 2 || 0 >= A) && (I >= 2 || A >= 2 || I >= 2 || 0 >= I) && (I >= 2 || A >= 2 || I >= 2 || H >= I) && (I >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (I >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || I >= 2 || Q >= 2 + X$) && (I >= 2 || A >= 2 || H >= I || 0 >= A) && (I >= 2 || A >= 2 || H >= I || 0 >= I) && (I >= 2 || A >= 2 || H >= I || H >= I) && (I >= 2 || A >= 2 || H >= I || P >= 2*X$) && (I >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || H >= I || Q >= 2 + X$) && (I >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (I >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (I >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (I >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (I >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= A) && (I >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= I) && (I >= 2 || A >= 2 || Q >= 2 + X$ || H >= I) && (I >= 2 || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || 0 >= I || 0 >= A || 0 >= A) && (I >= 2 || 0 >= I || 0 >= A || 0 >= I) && (I >= 2 || 0 >= I || 0 >= A || H >= I) && (I >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (I >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || 0 >= A || Q >= 2 + X$) && (I >= 2 || 0 >= I || I >= 2 || 0 >= A) && (I >= 2 || 0 >= I || I >= 2 || 0 >= I) && (I >= 2 || 0 >= I || I >= 2 || H >= I) && (I >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (I >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || I >= 2 || Q >= 2 + X$) && (I >= 2 || 0 >= I || H >= I || 0 >= A) && (I >= 2 || 0 >= I || H >= I || 0 >= I) && (I >= 2 || 0 >= I || H >= I || H >= I) && (I >= 2 || 0 >= I || H >= I || P >= 2*X$) && (I >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || H >= I || Q >= 2 + X$) && (I >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (I >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (I >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (I >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (I >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= A) && (I >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= I) && (I >= 2 || 0 >= I || Q >= 2 + X$ || H >= I) && (I >= 2 || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || H >= I || 0 >= A || 0 >= A) && (I >= 2 || H >= I || 0 >= A || 0 >= I) && (I >= 2 || H >= I || 0 >= A || H >= I) && (I >= 2 || H >= I || 0 >= A || P >= 2*X$) && (I >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 0 >= A || Q >= 2 + X$) && (I >= 2 || H >= I || I >= 2 || 0 >= A) && (I >= 2 || H >= I || I >= 2 || 0 >= I) && (I >= 2 || H >= I || I >= 2 || H >= I) && (I >= 2 || H >= I || I >= 2 || P >= 2*X$) && (I >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || H >= I || I >= 2 || Q >= 2 + X$) && (I >= 2 || H >= I || H >= I || 0 >= A) && (I >= 2 || H >= I || H >= I || 0 >= I) && (I >= 2 || H >= I || H >= I || H >= I) && (I >= 2 || H >= I || H >= I || P >= 2*X$) && (I >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (I >= 2 || H >= I || H >= I || Q >= 2 + X$) && (I >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (I >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (I >= 2 || H >= I || P >= 2*X$ || H >= I) && (I >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (I >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || H >= I || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (I >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || H >= I || Q >= 2 + X$ || 0 >= A) && (I >= 2 || H >= I || Q >= 2 + X$ || 0 >= I) && (I >= 2 || H >= I || Q >= 2 + X$ || H >= I) && (I >= 2 || H >= I || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (I >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (I >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (I >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (I >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (I >= 2 || P >= 2*X$ || H >= I || H >= I) && (I >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (I >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || H >= I || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || H >= I) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || H >= I || H >= I) && (I >= 2 || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= A) && (I >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= I) && (I >= 2 || Q >= 2 + X$ || 0 >= A || H >= I) && (I >= 2 || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= A) && (I >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= I) && (I >= 2 || Q >= 2 + X$ || I >= 2 || H >= I) && (I >= 2 || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || H >= I || 0 >= A) && (I >= 2 || Q >= 2 + X$ || H >= I || 0 >= I) && (I >= 2 || Q >= 2 + X$ || H >= I || H >= I) && (I >= 2 || Q >= 2 + X$ || H >= I || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || A >= 2 || 0 >= A || 0 >= A) && (H >= I || A >= 2 || 0 >= A || 0 >= I) && (H >= I || A >= 2 || 0 >= A || H >= I) && (H >= I || A >= 2 || 0 >= A || P >= 2*X$) && (H >= I || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (H >= I || A >= 2 || 0 >= A || Q >= 2 + X$) && (H >= I || A >= 2 || I >= 2 || 0 >= A) && (H >= I || A >= 2 || I >= 2 || 0 >= I) && (H >= I || A >= 2 || I >= 2 || H >= I) && (H >= I || A >= 2 || I >= 2 || P >= 2*X$) && (H >= I || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (H >= I || A >= 2 || I >= 2 || Q >= 2 + X$) && (H >= I || A >= 2 || H >= I || 0 >= A) && (H >= I || A >= 2 || H >= I || 0 >= I) && (H >= I || A >= 2 || H >= I || H >= I) && (H >= I || A >= 2 || H >= I || P >= 2*X$) && (H >= I || A >= 2 || H >= I || 3*X$ >= 1 + P) && (H >= I || A >= 2 || H >= I || Q >= 2 + X$) && (H >= I || A >= 2 || P >= 2*X$ || 0 >= A) && (H >= I || A >= 2 || P >= 2*X$ || 0 >= I) && (H >= I || A >= 2 || P >= 2*X$ || H >= I) && (H >= I || A >= 2 || P >= 2*X$ || P >= 2*X$) && (H >= I || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (H >= I || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (H >= I || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (H >= I || A >= 2 || 3*X$ >= 1 + P || H >= I) && (H >= I || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || A >= 2 || Q >= 2 + X$ || 0 >= A) && (H >= I || A >= 2 || Q >= 2 + X$ || 0 >= I) && (H >= I || A >= 2 || Q >= 2 + X$ || H >= I) && (H >= I || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (H >= I || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || 0 >= I || 0 >= A || 0 >= A) && (H >= I || 0 >= I || 0 >= A || 0 >= I) && (H >= I || 0 >= I || 0 >= A || H >= I) && (H >= I || 0 >= I || 0 >= A || P >= 2*X$) && (H >= I || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 0 >= I || 0 >= A || Q >= 2 + X$) && (H >= I || 0 >= I || I >= 2 || 0 >= A) && (H >= I || 0 >= I || I >= 2 || 0 >= I) && (H >= I || 0 >= I || I >= 2 || H >= I) && (H >= I || 0 >= I || I >= 2 || P >= 2*X$) && (H >= I || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 0 >= I || I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I || H >= I || 0 >= A) && (H >= I || 0 >= I || H >= I || 0 >= I) && (H >= I || 0 >= I || H >= I || H >= I) && (H >= I || 0 >= I || H >= I || P >= 2*X$) && (H >= I || 0 >= I || H >= I || 3*X$ >= 1 + P) && (H >= I || 0 >= I || H >= I || Q >= 2 + X$) && (H >= I || 0 >= I || P >= 2*X$ || 0 >= A) && (H >= I || 0 >= I || P >= 2*X$ || 0 >= I) && (H >= I || 0 >= I || P >= 2*X$ || H >= I) && (H >= I || 0 >= I || P >= 2*X$ || P >= 2*X$) && (H >= I || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (H >= I || 0 >= I || 3*X$ >= 1 + P || H >= I) && (H >= I || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || 0 >= I || Q >= 2 + X$ || 0 >= A) && (H >= I || 0 >= I || Q >= 2 + X$ || 0 >= I) && (H >= I || 0 >= I || Q >= 2 + X$ || H >= I) && (H >= I || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (H >= I || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || H >= I || 0 >= A || 0 >= A) && (H >= I || H >= I || 0 >= A || 0 >= I) && (H >= I || H >= I || 0 >= A || H >= I) && (H >= I || H >= I || 0 >= A || P >= 2*X$) && (H >= I || H >= I || 0 >= A || 3*X$ >= 1 + P) && (H >= I || H >= I || 0 >= A || Q >= 2 + X$) && (H >= I || H >= I || I >= 2 || 0 >= A) && (H >= I || H >= I || I >= 2 || 0 >= I) && (H >= I || H >= I || I >= 2 || H >= I) && (H >= I || H >= I || I >= 2 || P >= 2*X$) && (H >= I || H >= I || I >= 2 || 3*X$ >= 1 + P) && (H >= I || H >= I || I >= 2 || Q >= 2 + X$) && (H >= I || H >= I || H >= I || 0 >= A) && (H >= I || H >= I || H >= I || 0 >= I) && (H >= I || H >= I || H >= I || H >= I) && (H >= I || H >= I || H >= I || P >= 2*X$) && (H >= I || H >= I || H >= I || 3*X$ >= 1 + P) && (H >= I || H >= I || H >= I || Q >= 2 + X$) && (H >= I || H >= I || P >= 2*X$ || 0 >= A) && (H >= I || H >= I || P >= 2*X$ || 0 >= I) && (H >= I || H >= I || P >= 2*X$ || H >= I) && (H >= I || H >= I || P >= 2*X$ || P >= 2*X$) && (H >= I || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || H >= I || P >= 2*X$ || Q >= 2 + X$) && (H >= I || H >= I || 3*X$ >= 1 + P || 0 >= A) && (H >= I || H >= I || 3*X$ >= 1 + P || 0 >= I) && (H >= I || H >= I || 3*X$ >= 1 + P || H >= I) && (H >= I || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || H >= I || Q >= 2 + X$ || 0 >= A) && (H >= I || H >= I || Q >= 2 + X$ || 0 >= I) && (H >= I || H >= I || Q >= 2 + X$ || H >= I) && (H >= I || H >= I || Q >= 2 + X$ || P >= 2*X$) && (H >= I || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || P >= 2*X$ || 0 >= A || 0 >= A) && (H >= I || P >= 2*X$ || 0 >= A || 0 >= I) && (H >= I || P >= 2*X$ || 0 >= A || H >= I) && (H >= I || P >= 2*X$ || 0 >= A || P >= 2*X$) && (H >= I || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (H >= I || P >= 2*X$ || I >= 2 || 0 >= A) && (H >= I || P >= 2*X$ || I >= 2 || 0 >= I) && (H >= I || P >= 2*X$ || I >= 2 || H >= I) && (H >= I || P >= 2*X$ || I >= 2 || P >= 2*X$) && (H >= I || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (H >= I || P >= 2*X$ || H >= I || 0 >= A) && (H >= I || P >= 2*X$ || H >= I || 0 >= I) && (H >= I || P >= 2*X$ || H >= I || H >= I) && (H >= I || P >= 2*X$ || H >= I || P >= 2*X$) && (H >= I || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || H >= I || Q >= 2 + X$) && (H >= I || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (H >= I || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (H >= I || P >= 2*X$ || P >= 2*X$ || H >= I) && (H >= I || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (H >= I || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 0 >= A || H >= I) && (H >= I || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (H >= I || 3*X$ >= 1 + P || I >= 2 || H >= I) && (H >= I || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || H >= I || 0 >= A) && (H >= I || 3*X$ >= 1 + P || H >= I || 0 >= I) && (H >= I || 3*X$ >= 1 + P || H >= I || H >= I) && (H >= I || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || 0 >= A || 0 >= A) && (H >= I || Q >= 2 + X$ || 0 >= A || 0 >= I) && (H >= I || Q >= 2 + X$ || 0 >= A || H >= I) && (H >= I || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (H >= I || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || I >= 2 || 0 >= A) && (H >= I || Q >= 2 + X$ || I >= 2 || 0 >= I) && (H >= I || Q >= 2 + X$ || I >= 2 || H >= I) && (H >= I || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (H >= I || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || H >= I || 0 >= A) && (H >= I || Q >= 2 + X$ || H >= I || 0 >= I) && (H >= I || Q >= 2 + X$ || H >= I || H >= I) && (H >= I || Q >= 2 + X$ || H >= I || P >= 2*X$) && (H >= I || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || 0 >= A || 0 >= A) && (P >= 2*X$ || A >= 2 || 0 >= A || 0 >= I) && (P >= 2*X$ || A >= 2 || 0 >= A || H >= I) && (P >= 2*X$ || A >= 2 || 0 >= A || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || I >= 2 || 0 >= A) && (P >= 2*X$ || A >= 2 || I >= 2 || 0 >= I) && (P >= 2*X$ || A >= 2 || I >= 2 || H >= I) && (P >= 2*X$ || A >= 2 || I >= 2 || P >= 2*X$) && (P >= 2*X$ || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= A) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= I) && (P >= 2*X$ || A >= 2 || H >= I || H >= I) && (P >= 2*X$ || A >= 2 || H >= I || P >= 2*X$) && (P >= 2*X$ || A >= 2 || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || H >= I || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || H >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || H >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || H >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= A) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= I) && (P >= 2*X$ || 0 >= I || H >= I || H >= I) && (P >= 2*X$ || 0 >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || H >= I || 0 >= A || H >= I) && (P >= 2*X$ || H >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || H >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || H >= I || I >= 2 || H >= I) && (P >= 2*X$ || H >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || H >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || H >= I || H >= I || 0 >= A) && (P >= 2*X$ || H >= I || H >= I || 0 >= I) && (P >= 2*X$ || H >= I || H >= I || H >= I) && (P >= 2*X$ || H >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || H >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || H >= I || Q >= 2 + X$) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || H >= I) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || H >= I) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || H >= I || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || H >= I || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || H >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || H >= I || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 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+ P) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || H >= I) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || H >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || H >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || H >= I || H >= I || H >= I) && (3*X$ >= 1 + P || H >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 0 >= A) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 0 >= I) && (Q >= 2 + X$ || A >= 2 || 0 >= A || H >= I) && (Q >= 2 + X$ || A >= 2 || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 0 >= A) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 0 >= I) && (Q >= 2 + X$ || A >= 2 || I >= 2 || H >= I) && (Q >= 2 + X$ || A >= 2 || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || H >= I || 0 >= A) && (Q >= 2 + X$ || A >= 2 || H >= I || 0 >= I) && (Q >= 2 + X$ || A >= 2 || H >= I || H >= I) && (Q >= 2 + X$ || A >= 2 || H >= I || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 0 >= A) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 0 >= I) && (Q >= 2 + X$ || 0 >= I || 0 >= A || H >= I) && (Q >= 2 + X$ || 0 >= I || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 0 >= A) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 0 >= I) && (Q >= 2 + X$ || 0 >= I || I >= 2 || H >= I) && (Q >= 2 + X$ || 0 >= I || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || H >= I || 0 >= A) && (Q >= 2 + X$ || 0 >= I || H >= I || 0 >= I) && (Q >= 2 + X$ || 0 >= I || H >= I || H >= I) && (Q >= 2 + X$ || 0 >= I || H >= I || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || 0 >= A || 0 >= A) && (Q >= 2 + X$ || H >= I || 0 >= A || 0 >= I) && (Q >= 2 + X$ || H >= I || 0 >= A || H >= I) && (Q >= 2 + X$ || H >= I || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || H >= I || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || I >= 2 || 0 >= A) && (Q >= 2 + X$ || H >= I || I >= 2 || 0 >= I) && (Q >= 2 + X$ || H >= I || I >= 2 || H >= I) && (Q >= 2 + X$ || H >= I || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || H >= I || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || H >= I || 0 >= A) && (Q >= 2 + X$ || H >= I || H >= I || 0 >= I) && (Q >= 2 + X$ || H >= I || H >= I || H >= I) && (Q >= 2 + X$ || H >= I || H >= I || P >= 2*X$) && (Q >= 2 + X$ || H >= I || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,49,50,51,64,70},13->{50,64,70},18->{42,43,68,69},24->{2,52},25->{68,69},34->{8,18} ,42->{13,49,50,51,64,70},43->{68,69},49->{50,51,64,70},50->{50,51,64,70},51->{42,43,68,69},52->{52},58->{13 ,49,50,51,64,70},59->{68,69},64->{13,50,64,70},66->{},68->{13,49,50,51,64,70},69->{42,43,68,69},70->{13,49 ,50,51,64,70},75->{},76->{13,49,50,51,64,70},77->{42,43,68,69}] Sizebounds: (< 2,0,A>, ?) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, ?) (< 2,0,I>, ?) (< 2,0,J>, ?) (< 2,0,K>, ?) (< 2,0,N>, ?) (< 2,0,O>, ?) (< 2,0,P>, ?) (< 2,0,Q>, ?) (< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, ?) (< 8,0,I>, ?) (< 8,0,J>, ?) (< 8,0,K>, ?) (< 8,0,N>, ?) (< 8,0,O>, ?) (< 8,0,P>, ?) (< 8,0,Q>, ?) (<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,J>, ?) (<13,0,K>, ?) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, ?) (<13,0,Q>, ?) (<18,0,A>, ?) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, ?) (<18,0,I>, ?) (<18,0,J>, ?) (<18,0,K>, ?) (<18,0,N>, ?) (<18,0,O>, ?) (<18,0,P>, ?) (<18,0,Q>, ?) (<24,0,A>, ?) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, ?) (<24,0,I>, ?) (<24,0,J>, ?) (<24,0,K>, ?) (<24,0,N>, ?) (<24,0,O>, ?) (<24,0,P>, ?) (<24,0,Q>, ?) (<25,0,A>, ?) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, ?) (<25,0,I>, ?) (<25,0,J>, ?) (<25,0,K>, ?) (<25,0,N>, ?) (<25,0,O>, ?) (<25,0,P>, ?) (<25,0,Q>, ?) (<34,0,A>, ?) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, ?) (<34,0,I>, ?) (<34,0,J>, ?) (<34,0,K>, ?) (<34,0,N>, ?) (<34,0,O>, ?) (<34,0,P>, ?) (<34,0,Q>, ?) (<42,0,A>, ?) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, ?) (<42,0,I>, ?) (<42,0,J>, ?) (<42,0,K>, ?) (<42,0,N>, ?) (<42,0,O>, ?) (<42,0,P>, ?) (<42,0,Q>, ?) (<43,0,A>, ?) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, ?) (<43,0,I>, ?) (<43,0,J>, ?) (<43,0,K>, ?) (<43,0,N>, ?) (<43,0,O>, ?) (<43,0,P>, ?) (<43,0,Q>, ?) (<49,0,A>, ?) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, ?) (<49,0,I>, ?) (<49,0,J>, ?) (<49,0,K>, ?) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, ?) (<49,0,Q>, ?) (<50,0,A>, ?) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, ?) (<50,0,I>, ?) (<50,0,J>, ?) (<50,0,K>, ?) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, ?) (<50,0,Q>, ?) (<51,0,A>, ?) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, ?) (<51,0,I>, ?) (<51,0,J>, ?) (<51,0,K>, ?) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, ?) (<51,0,Q>, ?) (<52,0,A>, ?) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, ?) (<52,0,I>, ?) (<52,0,J>, ?) (<52,0,K>, ?) (<52,0,N>, ?) (<52,0,O>, ?) (<52,0,P>, ?) (<52,0,Q>, ?) (<58,0,A>, ?) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, ?) (<58,0,I>, ?) (<58,0,J>, ?) (<58,0,K>, ?) (<58,0,N>, ?) (<58,0,O>, ?) (<58,0,P>, ?) (<58,0,Q>, ?) (<59,0,A>, ?) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, ?) (<59,0,I>, ?) (<59,0,J>, ?) (<59,0,K>, ?) (<59,0,N>, ?) (<59,0,O>, ?) (<59,0,P>, ?) (<59,0,Q>, ?) (<64,0,A>, ?) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, ?) (<64,0,I>, ?) (<64,0,J>, ?) (<64,0,K>, ?) (<64,0,N>, ?) (<64,0,O>, ?) (<64,0,P>, ?) (<64,0,Q>, ?) (<66,0,A>, ?) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, ?) (<66,0,I>, ?) (<66,0,J>, ?) (<66,0,K>, ?) (<66,0,N>, ?) (<66,0,O>, ?) (<66,0,P>, ?) (<66,0,Q>, ?) (<68,0,A>, ?) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, ?) (<68,0,I>, ?) (<68,0,J>, ?) (<68,0,K>, ?) (<68,0,N>, ?) (<68,0,O>, ?) (<68,0,P>, ?) (<68,0,Q>, ?) (<69,0,A>, ?) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, ?) (<69,0,I>, ?) (<69,0,J>, ?) (<69,0,K>, ?) (<69,0,N>, ?) (<69,0,O>, ?) (<69,0,P>, ?) (<69,0,Q>, ?) (<70,0,A>, ?) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, ?) (<70,0,I>, ?) (<70,0,J>, ?) (<70,0,K>, ?) (<70,0,N>, ?) (<70,0,O>, ?) (<70,0,P>, ?) (<70,0,Q>, ?) (<75,0,A>, ?) (<75,0,B>, ?) (<75,0,C>, ?) (<75,0,F>, ?) (<75,0,G>, ?) (<75,0,H>, ?) (<75,0,I>, ?) (<75,0,J>, ?) (<75,0,K>, ?) (<75,0,N>, ?) (<75,0,O>, ?) (<75,0,P>, ?) (<75,0,Q>, ?) (<76,0,A>, ?) (<76,0,B>, ?) (<76,0,C>, ?) (<76,0,F>, ?) (<76,0,G>, ?) (<76,0,H>, ?) (<76,0,I>, ?) (<76,0,J>, ?) (<76,0,K>, ?) (<76,0,N>, ?) (<76,0,O>, ?) (<76,0,P>, ?) (<76,0,Q>, ?) (<77,0,A>, ?) (<77,0,B>, ?) (<77,0,C>, ?) (<77,0,F>, ?) (<77,0,G>, ?) (<77,0,H>, ?) (<77,0,I>, ?) (<77,0,J>, ?) (<77,0,K>, ?) (<77,0,N>, ?) (<77,0,O>, ?) (<77,0,P>, ?) (<77,0,Q>, ?) + Applied Processor: SizeboundsProc + Details: Sizebounds computed: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J + 2*K) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, 7 + 3*J + 5*K) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, 7 + 3*J + 5*K) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, 7 + 3*J + 5*K) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, 7 + 3*J + 5*K) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H + 2*I) (<52,0,J>, J) (<52,0,K>, 1 + J + 2*K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<64,0,A>, 1 + A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, ?) (<64,0,J>, J) (<64,0,K>, 7 + 3*J + 5*K) (<64,0,N>, ?) (<64,0,O>, ?) (<64,0,P>, P) (<64,0,Q>, 1) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<68,0,A>, 1 + A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, 0) (<68,0,J>, J) (<68,0,K>, 7 + 3*J + 5*K) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, 1 + A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1) (<69,0,J>, J) (<69,0,K>, 7 + 3*J + 5*K) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) (<70,0,A>, 1 + A) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, H) (<70,0,I>, ?) (<70,0,J>, J) (<70,0,K>, 7 + 3*J + 5*K) (<70,0,N>, ?) (<70,0,O>, ?) (<70,0,P>, P) (<70,0,Q>, ?) (<75,0,A>, A) (<75,0,B>, ?) (<75,0,C>, ?) (<75,0,F>, ?) (<75,0,G>, ?) (<75,0,H>, H) (<75,0,I>, I) (<75,0,J>, J) (<75,0,K>, K) (<75,0,N>, N) (<75,0,O>, O) (<75,0,P>, P) (<75,0,Q>, Q) (<76,0,A>, A) (<76,0,B>, ?) (<76,0,C>, ?) (<76,0,F>, ?) (<76,0,G>, ?) (<76,0,H>, H) (<76,0,I>, I) (<76,0,J>, J) (<76,0,K>, K) (<76,0,N>, 1) (<76,0,O>, 0) (<76,0,P>, P) (<76,0,Q>, Q) (<77,0,A>, A) (<77,0,B>, ?) (<77,0,C>, ?) (<77,0,F>, ?) (<77,0,G>, ?) (<77,0,H>, H) (<77,0,I>, 1 + I) (<77,0,J>, J) (<77,0,K>, K) (<77,0,N>, 1) (<77,0,O>, 0) (<77,0,P>, P) (<77,0,Q>, Q) * Step 59: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (?,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 69. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*H + 2*I,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 70. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [(Q >= 2 || Q >= 2) (3 + J + 2*K,4) && (Q >= 2 || J >= K) && (Q >= 2 || Q >= 2*F1$) && (Q >= 2 || 3*F1$ >= 1 + Q) && (Q >= 2 || 0 >= K) && (J >= K || Q >= 2) && (J >= K || J >= K) && (J >= K || Q >= 2*F1$) && (J >= K || 3*F1$ >= 1 + Q) && (J >= K || 0 >= K) && (Q >= 2*F1$ || Q >= 2) && (Q >= 2*F1$ || J >= K) && (Q >= 2*F1$ || Q >= 2*F1$) && (Q >= 2*F1$ || 3*F1$ >= 1 + Q) && (Q >= 2*F1$ || 0 >= K) && (3*F1$ >= 1 + Q || Q >= 2) && (3*F1$ >= 1 + Q || J >= K) && (3*F1$ >= 1 + Q || Q >= 2*F1$) && (3*F1$ >= 1 + Q || 3*F1$ >= 1 + Q) && (3*F1$ >= 1 + Q || 0 >= K) && (K >= 2 || Q >= 2) && (K >= 2 || J >= K) && (K >= 2 || Q >= 2*F1$) && (K >= 2 || 3*F1$ >= 1 + Q) && (K >= 2 || 0 >= K)] 75. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,8) && (A >= 2 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 2 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 2 || A >= 2 || A >= 0 || 0 >= A) && (A >= 2 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 2 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (A >= 0 || A >= 2 || 0 >= A || 0 >= A) && (A >= 0 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 0 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 0 || A >= 2 || A >= 0 || 0 >= A) && (A >= 0 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 0 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= A) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || 0 >= A || I >= 1 + H) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= A) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= A) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= A) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || 0 >= A || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= A) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || A >= 0 || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || I >= 1 + H)] 76. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,12) && (A >= 2 || A >= 2 || 0 >= A || 0 >= I) && (A >= 2 || A >= 2 || 0 >= A || H >= I) && (A >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (A >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 0 >= A || 1 + X$ >= Q) && (A >= 2 || A >= 2 || I >= 2 || 0 >= A) && (A >= 2 || A >= 2 || I >= 2 || 0 >= I) && (A >= 2 || A >= 2 || I >= 2 || H >= I) && (A >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (A >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || I >= 2 || 1 + X$ >= Q) && (A >= 2 || A >= 2 || H >= I || 0 >= A) && (A >= 2 || A >= 2 || H >= I || 0 >= I) && (A >= 2 || A >= 2 || H >= I || H >= I) && (A >= 2 || A >= 2 || H >= I || P >= 2*X$) && (A >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || H >= I || 1 + X$ >= Q) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= A) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= I) && (A >= 2 || A >= 2 || 1 + X$ >= Q || H >= I) && (A >= 2 || A >= 2 || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 0 >= A || 0 >= A) && (A >= 2 || 0 >= I || 0 >= A || 0 >= I) && (A >= 2 || 0 >= I || 0 >= A || H >= I) && (A >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (A >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 0 >= A || 1 + X$ >= Q) && (A >= 2 || 0 >= I || I >= 2 || 0 >= A) && (A >= 2 || 0 >= I || I >= 2 || 0 >= I) && (A >= 2 || 0 >= I || I >= 2 || H >= I) && (A >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (A >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || I >= 2 || 1 + X$ >= Q) && (A >= 2 || 0 >= I || H >= I || 0 >= A) && (A >= 2 || 0 >= I || H >= I || 0 >= I) && (A >= 2 || 0 >= I || H >= I || H >= I) && (A >= 2 || 0 >= I || H >= I || P >= 2*X$) && (A >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || H >= I || 1 + X$ >= Q) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 0 >= A) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 0 >= I) && (A >= 2 || 0 >= I || 1 + X$ >= Q || H >= I) && (A >= 2 || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || H >= I || 0 >= A || 0 >= A) && (A >= 2 || H >= I || 0 >= A || 0 >= I) && (A >= 2 || H >= I || 0 >= A || H >= I) && (A >= 2 || H >= I || 0 >= A || P >= 2*X$) && (A >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 0 >= A || 1 + X$ >= Q) && (A >= 2 || H >= I || I >= 2 || 0 >= A) && (A >= 2 || H >= I || I >= 2 || 0 >= I) && (A >= 2 || H >= I || I >= 2 || H >= I) && (A >= 2 || H >= I || I >= 2 || P >= 2*X$) && (A >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || H >= I || I >= 2 || 1 + X$ >= Q) && (A >= 2 || H >= I || H >= I || 0 >= A) && (A >= 2 || H >= I || H >= I || 0 >= I) && (A >= 2 || H >= I || H >= I || H >= I) && (A >= 2 || H >= I || H >= I || P >= 2*X$) && (A >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || H >= I || H >= I || 1 + X$ >= Q) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || H >= I || P >= 2*X$ || H >= I) && (A >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || H >= I || 1 + X$ >= Q || 0 >= A) && (A >= 2 || H >= I || 1 + X$ >= Q || 0 >= I) && (A >= 2 || H >= I || 1 + X$ >= Q || H >= I) && (A >= 2 || H >= I || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (A >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (A >= 2 || P >= 2*X$ || H >= I || H >= I) && (A >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (A >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (A >= 2 || 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2 || 1 + X$ >= Q || P >= 2*X$) && (I >= 2 || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (I >= 2 || 0 >= I || 0 >= A || 0 >= A) && (I >= 2 || 0 >= I || 0 >= A || 0 >= I) && (I >= 2 || 0 >= I || 0 >= A || H >= I) && (I >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (I >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || 0 >= A || 1 + X$ >= Q) && (I >= 2 || 0 >= I || I >= 2 || 0 >= A) && (I >= 2 || 0 >= I || I >= 2 || 0 >= I) && (I >= 2 || 0 >= I || I >= 2 || H >= I) && (I >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (I >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || I >= 2 || 1 + X$ >= Q) && (I >= 2 || 0 >= I || H >= I || 0 >= A) && (I >= 2 || 0 >= I || H >= I || 0 >= I) && (I >= 2 || 0 >= I || H >= I || H >= I) && (I >= 2 || 0 >= I || H >= I || P >= 2*X$) && (I >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || H >= I || 1 + X$ >= Q) && (I >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (I >= 2 || 0 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&& (I >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 0 >= A || 1 + X$ >= Q) && (I >= 2 || H >= I || I >= 2 || 0 >= A) && (I >= 2 || H >= I || I >= 2 || 0 >= I) && (I >= 2 || H >= I || I >= 2 || H >= I) && (I >= 2 || H >= I || I >= 2 || P >= 2*X$) && (I >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || H >= I || I >= 2 || 1 + X$ >= Q) && (I >= 2 || H >= I || H >= I || 0 >= A) && (I >= 2 || H >= I || H >= I || 0 >= I) && (I >= 2 || H >= I || H >= I || H >= I) && (I >= 2 || H >= I || H >= I || P >= 2*X$) && (I >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (I >= 2 || H >= I || H >= I || 1 + X$ >= Q) && (I >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (I >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (I >= 2 || H >= I || P >= 2*X$ || H >= I) && (I >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (I >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (I >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (I >= 2 || H >= I || 1 + X$ >= Q || 0 >= A) && (I >= 2 || H >= I || 1 + X$ >= Q || 0 >= I) && (I >= 2 || H >= I || 1 + X$ >= Q || H >= I) && (I >= 2 || H >= I || 1 + X$ >= Q || P >= 2*X$) && (I >= 2 || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (I >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (I >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (I >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (I >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (I >= 2 || P >= 2*X$ || H >= I || H >= I) && (I >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (I >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (I >= 2 || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (I >= 2 || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (I >= 2 || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || H >= I) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || H >= I || H >= I) && (I >= 2 || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (I >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (I >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (I >= 2 || 1 + X$ >= Q || 0 >= A || 0 >= A) && (I >= 2 || 1 + X$ >= Q || 0 >= A || 0 >= I) && (I >= 2 || 1 + X$ >= Q || 0 >= A || H >= I) && (I >= 2 || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (I >= 2 || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (I >= 2 || 1 + X$ >= Q || I >= 2 || 0 >= A) && (I >= 2 || 1 + X$ >= Q || I >= 2 || 0 >= I) && (I >= 2 || 1 + X$ >= Q || I >= 2 || H >= I) && (I >= 2 || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (I >= 2 || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (I >= 2 || 1 + X$ >= Q || H >= I || 0 >= A) && (I >= 2 || 1 + X$ >= Q || H >= I || 0 >= I) && (I >= 2 || 1 + X$ >= Q || H >= I || H >= I) && (I >= 2 || 1 + X$ >= Q || H >= I || P >= 2*X$) && (I >= 2 || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (I >= 2 || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (I >= 2 || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (I >= 2 || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (I >= 2 || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (I >= 2 || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (I >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (I >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (I >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (I >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (I >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (I >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (I >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q) && (H >= I || A >= 2 || 0 >= A || 0 >= A) && (H >= I || A >= 2 || 0 >= A || 0 >= I) && (H >= I || A >= 2 || 0 >= A || H >= I) && (H >= I || A >= 2 || 0 >= A || P >= 2*X$) && (H >= I || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (H >= I || A >= 2 || 0 >= A || 1 + X$ >= Q) && (H >= I || A >= 2 || I >= 2 || 0 >= A) && (H >= I || A >= 2 || I >= 2 || 0 >= I) && (H >= I || A >= 2 || I >= 2 || H >= I) && (H >= I || A >= 2 || I >= 2 || P >= 2*X$) && (H >= I || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (H >= I || A >= 2 || I >= 2 || 1 + X$ >= Q) && (H >= I || A >= 2 || H >= I || 0 >= A) && (H >= I || A >= 2 || H >= I || 0 >= I) && (H >= I || A >= 2 || H >= I || H >= I) && (H >= I || A >= 2 || H >= I || P >= 2*X$) && (H >= I || A >= 2 || H >= I || 3*X$ >= 1 + P) && (H >= I || A >= 2 || H >= I || 1 + X$ >= Q) && (H >= I || A >= 2 || P >= 2*X$ || 0 >= A) && (H >= I || A 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&& (H >= I || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 0 >= I || 0 >= A || 1 + X$ >= Q) && (H >= I || 0 >= I || I >= 2 || 0 >= A) && (H >= I || 0 >= I || I >= 2 || 0 >= I) && (H >= I || 0 >= I || I >= 2 || H >= I) && (H >= I || 0 >= I || I >= 2 || P >= 2*X$) && (H >= I || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 0 >= I || I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I || H >= I || 0 >= A) && (H >= I || 0 >= I || H >= I || 0 >= I) && (H >= I || 0 >= I || H >= I || H >= I) && (H >= I || 0 >= I || H >= I || P >= 2*X$) && (H >= I || 0 >= I || H >= I || 3*X$ >= 1 + P) && (H >= I || 0 >= I || H >= I || 1 + X$ >= Q) && (H >= I || 0 >= I || P >= 2*X$ || 0 >= A) && (H >= I || 0 >= I || P >= 2*X$ || 0 >= I) && (H >= I || 0 >= I || P >= 2*X$ || H >= I) && (H >= I || 0 >= I || P >= 2*X$ || P >= 2*X$) && (H >= I || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (H >= I || 0 >= I || 3*X$ >= 1 + P || H >= I) && (H >= I || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (H >= I || 0 >= I || 1 + X$ >= Q || 0 >= A) && (H >= I || 0 >= I || 1 + X$ >= Q || 0 >= I) && (H >= I || 0 >= I || 1 + X$ >= Q || H >= I) && (H >= I || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (H >= I || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (H >= I || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (H >= I || H >= I || 0 >= A || 0 >= A) && (H >= I || H >= I || 0 >= A || 0 >= I) && (H >= I || H >= I || 0 >= A || H >= I) && (H >= I || H >= I || 0 >= A || P >= 2*X$) && (H >= I || H >= I || 0 >= A || 3*X$ >= 1 + P) && (H >= I || H >= I || 0 >= A || 1 + X$ >= Q) && (H >= I || H >= I || I >= 2 || 0 >= A) && (H >= I || H >= I || I >= 2 || 0 >= I) && (H >= I || H >= I || I >= 2 || H >= I) && (H >= I || H >= I || I >= 2 || P >= 2*X$) && (H >= I || H >= I || I >= 2 || 3*X$ >= 1 + P) && (H >= I || H >= I || I >= 2 || 1 + X$ >= Q) && (H >= I || H >= I || H >= I || 0 >= A) && (H >= I || H >= I || H >= I || 0 >= I) && (H >= I || H >= I || H >= I || H >= I) && (H >= I || H >= I || H >= I || P >= 2*X$) && (H >= I || H >= I || H >= I || 3*X$ >= 1 + P) && (H >= I || H >= I || H >= I || 1 + X$ >= Q) && (H >= I || H >= I || P >= 2*X$ || 0 >= A) && (H >= I || H >= I || P >= 2*X$ || 0 >= I) && (H >= I || H >= I || P >= 2*X$ || H >= I) && (H >= I || H >= I || P >= 2*X$ || P >= 2*X$) && (H >= I || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (H >= I || H >= I || 3*X$ >= 1 + P || 0 >= A) && (H >= I || H >= I || 3*X$ >= 1 + P || 0 >= I) && (H >= I || H >= I || 3*X$ >= 1 + P || H >= I) && (H >= I || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (H >= I || H >= I || 1 + X$ >= Q || 0 >= A) && (H >= I || H >= I || 1 + X$ >= Q || 0 >= I) && (H >= I || H >= I || 1 + X$ >= Q || H >= I) && (H >= I || H >= I || 1 + X$ >= Q || P >= 2*X$) && (H >= I || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (H >= I || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (H >= I || P >= 2*X$ || 0 >= A || 0 >= A) && (H >= I || P >= 2*X$ || 0 >= A || 0 >= I) && (H >= I || P >= 2*X$ || 0 >= A || H >= I) && (H >= I || P >= 2*X$ || 0 >= A || P >= 2*X$) && (H >= I || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (H >= I || P >= 2*X$ || I >= 2 || 0 >= A) && (H >= I || P >= 2*X$ || I >= 2 || 0 >= I) && (H >= I || P >= 2*X$ || I >= 2 || H >= I) && (H >= I || P >= 2*X$ || I >= 2 || P >= 2*X$) && (H >= I || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (H >= I || P >= 2*X$ || H >= I || 0 >= A) && (H >= I || P >= 2*X$ || H >= I || 0 >= I) && (H >= I || P >= 2*X$ || H >= I || H >= I) && (H >= I || P >= 2*X$ || H >= I || P >= 2*X$) && (H >= I || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (H >= I || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (H >= I || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (H >= I || P >= 2*X$ || P >= 2*X$ || H >= I) && (H >= I || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (H >= I || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (H >= I || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (H >= I || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (H >= I || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (H >= I || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (H >= I || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 0 >= A || H >= I) && (H >= I || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (H >= I || 3*X$ >= 1 + P || I >= 2 || H >= I) && (H >= I || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (H >= I || 3*X$ >= 1 + P || H >= I || 0 >= A) && (H >= I || 3*X$ >= 1 + P || H >= I || 0 >= I) && (H >= I || 3*X$ >= 1 + P || H >= I || H >= I) && (H >= I || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || 0 >= A || 0 >= A) && (H >= I || 1 + X$ >= Q || 0 >= A || 0 >= I) && (H >= I || 1 + X$ >= Q || 0 >= A || H >= I) && (H >= I || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (H >= I || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || I >= 2 || 0 >= A) && (H >= I || 1 + X$ >= Q || I >= 2 || 0 >= I) && (H >= I || 1 + X$ >= Q || I >= 2 || H >= I) && (H >= I || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (H >= I || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || H >= I || 0 >= A) && (H >= I || 1 + X$ >= Q || H >= I || 0 >= I) && (H >= I || 1 + X$ >= Q || H >= I || H >= I) && (H >= I || 1 + X$ >= Q || H >= I || P >= 2*X$) && (H >= I || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (H >= I || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (H >= I || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (H >= I || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (H >= I || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2 || 0 >= A || 0 >= A) && (P >= 2*X$ || A >= 2 || 0 >= A || 0 >= I) && (P >= 2*X$ || A >= 2 || 0 >= A || H >= I) && (P >= 2*X$ || A >= 2 || 0 >= A || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2 || I >= 2 || 0 >= A) && (P >= 2*X$ || A >= 2 || I >= 2 || 0 >= I) && (P >= 2*X$ || A >= 2 || I >= 2 || H >= I) && (P >= 2*X$ || A >= 2 || I >= 2 || P >= 2*X$) && (P >= 2*X$ || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= A) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= I) && (P >= 2*X$ || A >= 2 || H >= I || H >= I) && (P >= 2*X$ || A >= 2 || H >= I || P >= 2*X$) && (P >= 2*X$ || A >= 2 || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || H >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || A >= 2 || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || A >= 2 || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || A >= 2 || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || A >= 2 || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || H >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || H >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= A) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= I) && (P >= 2*X$ || 0 >= I || H >= I || H >= I) && (P >= 2*X$ || 0 >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || H >= I || 0 >= A || H >= I) && (P >= 2*X$ || H >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || H >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || H >= I || I >= 2 || H >= I) && (P >= 2*X$ || H >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || H >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || H >= I || 0 >= A) && (P >= 2*X$ || H >= I || H >= I || 0 >= I) && (P >= 2*X$ || H >= I || H >= I || H >= I) && (P >= 2*X$ || H >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || H >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || H >= I || 1 + X$ >= Q || 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|| H >= I || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q 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1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || H >= I) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || H >= I) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 1 + X$ >= Q) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || H >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 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0 >= I || H >= I || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || H >= I) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (3*X$ 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>= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (3*X$ >= 1 + P || H >= I || 1 + X$ >= Q || 0 >= A) && (3*X$ >= 1 + P || H >= I || 1 + X$ >= Q || 0 >= I) && (3*X$ >= 1 + P || H >= I || 1 + X$ >= Q || H >= I) && (3*X$ >= 1 + P || H >= I || 1 + X$ >= Q || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && 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>= A || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q)] 77. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,12) && (A >= 2 || A >= 2 || 0 >= A || 0 >= I) && (A >= 2 || A >= 2 || 0 >= A || H >= I) && (A >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (A >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 0 >= A || Q >= 2 + X$) && (A >= 2 || A >= 2 || I >= 2 || 0 >= A) && (A >= 2 || A >= 2 || I >= 2 || 0 >= I) && (A >= 2 || A >= 2 || I >= 2 || H >= I) && (A >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (A >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || I >= 2 || Q >= 2 + X$) && (A >= 2 || A >= 2 || H >= I || 0 >= A) && (A >= 2 || A >= 2 || H >= I || 0 >= I) && (A >= 2 || A >= 2 || H >= I || H >= I) && (A >= 2 || A >= 2 || H >= I || P >= 2*X$) && (A >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || H >= I || Q >= 2 + X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= A) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= I) && (A >= 2 || A >= 2 || Q >= 2 + X$ || H >= I) && (A >= 2 || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || 0 >= I || 0 >= A || 0 >= A) && (A >= 2 || 0 >= I || 0 >= A || 0 >= I) && (A >= 2 || 0 >= I || 0 >= A || H >= I) && (A >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (A >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 0 >= A || Q >= 2 + X$) && (A >= 2 || 0 >= I || I >= 2 || 0 >= A) && (A >= 2 || 0 >= I || I >= 2 || 0 >= I) && (A >= 2 || 0 >= I || I >= 2 || H >= I) && (A >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (A >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || I >= 2 || Q >= 2 + X$) && (A >= 2 || 0 >= I || H >= I || 0 >= A) && (A >= 2 || 0 >= I || H >= I || 0 >= I) && (A >= 2 || 0 >= I || H >= I || H >= I) && (A >= 2 || 0 >= I || H >= I || P >= 2*X$) && (A >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || H >= I || Q >= 2 + X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= A) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= I) && (A >= 2 || 0 >= I || Q >= 2 + X$ || H >= I) && (A >= 2 || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || H >= I || 0 >= A || 0 >= A) && (A >= 2 || H >= I || 0 >= A || 0 >= I) && (A >= 2 || H >= I || 0 >= A || H >= I) && (A >= 2 || H >= I || 0 >= A || P >= 2*X$) && (A >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 0 >= A || Q >= 2 + X$) && (A >= 2 || H >= I || I >= 2 || 0 >= A) && (A >= 2 || H >= I || I >= 2 || 0 >= I) && (A >= 2 || H >= I || I >= 2 || H >= I) && (A >= 2 || H >= I || I >= 2 || P >= 2*X$) && (A >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || H >= I || I >= 2 || Q >= 2 + X$) && (A >= 2 || H >= I || H >= I || 0 >= A) && (A >= 2 || H >= I || H >= I || 0 >= I) && (A >= 2 || H >= I || H >= I || H >= I) && (A >= 2 || H >= I || H >= I || P >= 2*X$) && (A >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || H >= I || H >= I || Q >= 2 + X$) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || H >= I || P >= 2*X$ || H >= I) && (A >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || H >= I || Q >= 2 + X$ || 0 >= A) && (A >= 2 || H >= I || Q >= 2 + X$ || 0 >= I) && (A >= 2 || H >= I || Q >= 2 + X$ || H >= I) && (A >= 2 || H >= I || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (A >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (A >= 2 || P >= 2*X$ || H >= I || H >= I) && (A >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (A >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || H >= I || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || H >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || H >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= A) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= I) && (A >= 2 || Q >= 2 + X$ || 0 >= A || H >= I) && (A >= 2 || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= A) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= I) && (A >= 2 || Q >= 2 + X$ || I >= 2 || H >= I) && (A >= 2 || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || H >= I || 0 >= A) && (A >= 2 || Q >= 2 + X$ || H >= I || 0 >= I) && (A >= 2 || Q >= 2 + X$ || H >= I || H >= I) && (A >= 2 || Q >= 2 + X$ || H >= I || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || A >= 2 || 0 >= A || 0 >= A) && (I >= 2 || A >= 2 || 0 >= A || 0 >= I) && (I >= 2 || A >= 2 || 0 >= A || H >= I) && (I >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (I >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || 0 >= A || Q >= 2 + X$) && (I >= 2 || A >= 2 || I >= 2 || 0 >= A) && (I >= 2 || A >= 2 || I >= 2 || 0 >= I) && (I >= 2 || A >= 2 || I >= 2 || H >= I) && (I >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (I >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || I >= 2 || Q >= 2 + X$) && (I >= 2 || A >= 2 || H >= I || 0 >= A) && (I >= 2 || A >= 2 || H >= I || 0 >= I) && (I >= 2 || A >= 2 || H >= I || H >= I) && (I >= 2 || A >= 2 || H >= I || P >= 2*X$) && (I >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || H >= I || Q >= 2 + X$) && (I >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (I >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (I >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (I >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (I >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= A) && (I >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= I) && (I >= 2 || A >= 2 || Q >= 2 + X$ || H >= I) && (I >= 2 || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || 0 >= I || 0 >= A || 0 >= A) && (I >= 2 || 0 >= I || 0 >= A || 0 >= I) && (I >= 2 || 0 >= I || 0 >= A || H >= I) && (I >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (I >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || 0 >= A || Q >= 2 + X$) && (I >= 2 || 0 >= I || I >= 2 || 0 >= A) && (I >= 2 || 0 >= I || I >= 2 || 0 >= I) && (I >= 2 || 0 >= I || I >= 2 || H >= I) && (I >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (I >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || I >= 2 || Q >= 2 + X$) && (I >= 2 || 0 >= I || H >= I || 0 >= A) && (I >= 2 || 0 >= I || H >= I || 0 >= I) && (I >= 2 || 0 >= I || H >= I || H >= I) && (I >= 2 || 0 >= I || H >= I || P >= 2*X$) && (I >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || H >= I || Q >= 2 + X$) && (I >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (I >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (I >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (I >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (I >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= A) && (I >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= I) && (I >= 2 || 0 >= I || Q >= 2 + X$ || H >= I) && (I >= 2 || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || H >= I || 0 >= A || 0 >= A) && (I >= 2 || H >= I || 0 >= A || 0 >= I) && (I >= 2 || H >= I || 0 >= A || H >= I) && (I >= 2 || H >= I || 0 >= A || P >= 2*X$) && (I >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 0 >= A || Q >= 2 + X$) && (I >= 2 || H >= I || I >= 2 || 0 >= A) && (I >= 2 || H >= I || I >= 2 || 0 >= I) && (I >= 2 || H >= I || I >= 2 || H >= I) && (I >= 2 || H >= I || I >= 2 || P >= 2*X$) && (I >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || H >= I || I >= 2 || Q >= 2 + X$) && (I >= 2 || H >= I || H >= I || 0 >= A) && (I >= 2 || H >= I || H >= I || 0 >= I) && (I >= 2 || H >= I || H >= I || H >= I) && (I >= 2 || H >= I || H >= I || P >= 2*X$) && (I >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (I >= 2 || H >= I || H >= I || Q >= 2 + X$) && (I >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (I >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (I >= 2 || H >= I || P >= 2*X$ || H >= I) && (I >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (I >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || H >= I || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (I >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || H >= I || Q >= 2 + X$ || 0 >= A) && (I >= 2 || H >= I || Q >= 2 + X$ || 0 >= I) && (I >= 2 || H >= I || Q >= 2 + X$ || H >= I) && (I >= 2 || H >= I || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (I >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (I >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (I >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (I >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (I >= 2 || P >= 2*X$ || H >= I || H >= I) && (I >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (I >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || H >= I || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || H >= I) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || H >= I || H >= I) && (I >= 2 || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= A) && (I >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= I) && (I >= 2 || Q >= 2 + X$ || 0 >= A || H >= I) && (I >= 2 || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= A) && (I >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= I) && (I >= 2 || Q >= 2 + X$ || I >= 2 || H >= I) && (I >= 2 || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || H >= I || 0 >= A) && (I >= 2 || Q >= 2 + X$ || H >= I || 0 >= I) && (I >= 2 || Q >= 2 + X$ || H >= I || H >= I) && (I >= 2 || Q >= 2 + X$ || H >= I || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || A >= 2 || 0 >= A || 0 >= A) && (H >= I || A >= 2 || 0 >= A || 0 >= I) && (H >= I || A >= 2 || 0 >= A || H >= I) && (H >= I || A >= 2 || 0 >= A || P >= 2*X$) && (H >= I || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (H >= I || A >= 2 || 0 >= A || Q >= 2 + X$) && (H >= I || A >= 2 || I >= 2 || 0 >= A) && (H >= I || A >= 2 || I >= 2 || 0 >= I) && (H >= I || A >= 2 || I >= 2 || H >= I) && (H >= I || A >= 2 || I >= 2 || P >= 2*X$) && (H >= I || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (H >= I || A >= 2 || I >= 2 || Q >= 2 + X$) && (H >= I || A >= 2 || H >= I || 0 >= A) && (H >= I || A >= 2 || H >= I || 0 >= I) && (H >= I || A >= 2 || H >= I || H >= I) && (H >= I || A >= 2 || H >= I || P >= 2*X$) && (H >= I || A >= 2 || H >= I || 3*X$ >= 1 + P) && (H >= I || A >= 2 || H >= I || Q >= 2 + X$) && (H >= I || A >= 2 || P >= 2*X$ || 0 >= A) && (H >= I || A >= 2 || P >= 2*X$ || 0 >= I) && (H >= I || A >= 2 || P >= 2*X$ || H >= I) && (H >= I || A >= 2 || P >= 2*X$ || P >= 2*X$) && (H >= I || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (H >= I || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (H >= I || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (H >= I || A >= 2 || 3*X$ >= 1 + P || H >= I) && (H >= I || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || A >= 2 || Q >= 2 + X$ || 0 >= A) && (H >= I || A >= 2 || Q >= 2 + X$ || 0 >= I) && (H >= I || A >= 2 || Q >= 2 + X$ || H >= I) && (H >= I || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (H >= I || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || 0 >= I || 0 >= A || 0 >= A) && (H >= I || 0 >= I || 0 >= A || 0 >= I) && (H >= I || 0 >= I || 0 >= A || H >= I) && (H >= I || 0 >= I || 0 >= A || P >= 2*X$) && (H >= I || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 0 >= I || 0 >= A || Q >= 2 + X$) && (H >= I || 0 >= I || I >= 2 || 0 >= A) && (H >= I || 0 >= I || I >= 2 || 0 >= I) && (H >= I || 0 >= I || I >= 2 || H >= I) && (H >= I || 0 >= I || I >= 2 || P >= 2*X$) && (H >= I || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 0 >= I || I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I || H >= I || 0 >= A) && (H >= I || 0 >= I || H >= I || 0 >= I) && (H >= I || 0 >= I || H >= I || H >= I) && (H >= I || 0 >= I || H >= I || P >= 2*X$) && (H >= I || 0 >= I || H >= I || 3*X$ >= 1 + P) && (H >= I || 0 >= I || H >= I || Q >= 2 + X$) && (H >= I || 0 >= I || P >= 2*X$ || 0 >= A) && (H >= I || 0 >= I || P >= 2*X$ || 0 >= I) && (H >= I || 0 >= I || P >= 2*X$ || H >= I) && (H >= I || 0 >= I || P >= 2*X$ || P >= 2*X$) && (H >= I || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (H >= I || 0 >= I || 3*X$ >= 1 + P || H >= I) && (H >= I || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || 0 >= I || Q >= 2 + X$ || 0 >= A) && (H >= I || 0 >= I || Q >= 2 + X$ || 0 >= I) && (H >= I || 0 >= I || Q >= 2 + X$ || H >= I) && (H >= I || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (H >= I || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || H >= I || 0 >= A || 0 >= A) && (H >= I || H >= I || 0 >= A || 0 >= I) && (H >= I || H >= I || 0 >= A || H >= I) && (H >= I || H >= I || 0 >= A || P >= 2*X$) && (H >= I || H >= I || 0 >= A || 3*X$ >= 1 + P) && (H >= I || H >= I || 0 >= A || Q >= 2 + X$) && (H >= I || H >= I || I >= 2 || 0 >= A) && (H >= I || H >= I || I >= 2 || 0 >= I) && (H >= I || H >= I || I >= 2 || H >= I) && (H >= I || H >= I || I >= 2 || P >= 2*X$) && (H >= I || H >= I || I >= 2 || 3*X$ >= 1 + P) && (H >= I || H >= I || I >= 2 || Q >= 2 + X$) && (H >= I || H >= I || H >= I || 0 >= A) && (H >= I || H >= I || H >= I || 0 >= I) && (H >= I || H >= I || H >= I || H >= I) && (H >= I || H >= I || H >= I || P >= 2*X$) && (H >= I || H >= I || H >= I || 3*X$ >= 1 + P) && (H >= I || H >= I || H >= I || Q >= 2 + X$) && (H >= I || H >= I || P >= 2*X$ || 0 >= A) && (H >= I || H >= I || P >= 2*X$ || 0 >= I) && (H >= I || H >= I || P >= 2*X$ || H >= I) && (H >= I || H >= I || P >= 2*X$ || P >= 2*X$) && (H >= I || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || H >= I || P >= 2*X$ || Q >= 2 + X$) && (H >= I || H >= I || 3*X$ >= 1 + P || 0 >= A) && (H >= I || H >= I || 3*X$ >= 1 + P || 0 >= I) && (H >= I || H >= I || 3*X$ >= 1 + P || H >= I) && (H >= I || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || H >= I || Q >= 2 + X$ || 0 >= A) && (H >= I || H >= I || Q >= 2 + X$ || 0 >= I) && (H >= I || H >= I || Q >= 2 + X$ || H >= I) && (H >= I || H >= I || Q >= 2 + X$ || P >= 2*X$) && (H >= I || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || P >= 2*X$ || 0 >= A || 0 >= A) && (H >= I || P >= 2*X$ || 0 >= A || 0 >= I) && (H >= I || P >= 2*X$ || 0 >= A || H >= I) && (H >= I || P >= 2*X$ || 0 >= A || P >= 2*X$) && (H >= I || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (H >= I || P >= 2*X$ || I >= 2 || 0 >= A) && (H >= I || P >= 2*X$ || I >= 2 || 0 >= I) && (H >= I || P >= 2*X$ || I >= 2 || H >= I) && (H >= I || P >= 2*X$ || I >= 2 || P >= 2*X$) && (H >= I || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (H >= I || P >= 2*X$ || H >= I || 0 >= A) && (H >= I || P >= 2*X$ || H >= I || 0 >= I) && (H >= I || P >= 2*X$ || H >= I || H >= I) && (H >= I || P >= 2*X$ || H >= I || P >= 2*X$) && (H >= I || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || H >= I || Q >= 2 + X$) && (H >= I || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (H >= I || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (H >= I || P >= 2*X$ || P >= 2*X$ || H >= I) && (H >= I || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (H >= I || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 0 >= A || H >= I) && (H >= I || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (H >= I || 3*X$ >= 1 + P || I >= 2 || H >= I) && (H >= I || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || H >= I || 0 >= A) && (H >= I || 3*X$ >= 1 + P || H >= I || 0 >= I) && (H >= I || 3*X$ >= 1 + P || H >= I || H >= I) && (H >= I || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || 0 >= A || 0 >= A) && (H >= I || Q >= 2 + X$ || 0 >= A || 0 >= I) && (H >= I || Q >= 2 + X$ || 0 >= A || H >= I) && (H >= I || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (H >= I || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || I >= 2 || 0 >= A) && (H >= I || Q >= 2 + X$ || I >= 2 || 0 >= I) && (H >= I || Q >= 2 + X$ || I >= 2 || H >= I) && (H >= I || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (H >= I || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || H >= I || 0 >= A) && (H >= I || Q >= 2 + X$ || H >= I || 0 >= I) && (H >= I || Q >= 2 + X$ || H >= I || H >= I) && (H >= I || Q >= 2 + X$ || H >= I || P >= 2*X$) && (H >= I || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || 0 >= A || 0 >= A) && (P >= 2*X$ || A >= 2 || 0 >= A || 0 >= I) && (P >= 2*X$ || A >= 2 || 0 >= A || H >= I) && (P >= 2*X$ || A >= 2 || 0 >= A || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || I >= 2 || 0 >= A) && (P >= 2*X$ || A >= 2 || I >= 2 || 0 >= I) && (P >= 2*X$ || A >= 2 || I >= 2 || H >= I) && (P >= 2*X$ || A >= 2 || I >= 2 || P >= 2*X$) && (P >= 2*X$ || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= A) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= I) && (P >= 2*X$ || A >= 2 || H >= I || H >= I) && (P >= 2*X$ || A >= 2 || H >= I || P >= 2*X$) && (P >= 2*X$ || A >= 2 || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || H >= I || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || H >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || H >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || H >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= A) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= I) && (P >= 2*X$ || 0 >= I || H >= I || H >= I) && (P >= 2*X$ || 0 >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || H >= I || 0 >= A || H >= I) && (P >= 2*X$ || H >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || H >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || H >= I || I >= 2 || H >= I) && (P >= 2*X$ || H >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || H >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || H >= I || H >= I || 0 >= A) && (P >= 2*X$ || H >= I || H >= I || 0 >= I) && (P >= 2*X$ || H >= I || H >= I || H >= I) && (P >= 2*X$ || H >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || H >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || H >= I || Q >= 2 + X$) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || H >= I) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || H >= I) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || H >= I || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || H >= I || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || H >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || H >= I || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || H >= I) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || H >= I) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || H >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || H >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || H >= I || H >= I || H >= I) && (3*X$ >= 1 + P || H >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 0 >= A) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 0 >= I) && (Q >= 2 + X$ || A >= 2 || 0 >= A || H >= I) && (Q >= 2 + X$ || A >= 2 || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 0 >= A) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 0 >= I) && (Q >= 2 + X$ || A >= 2 || I >= 2 || H >= I) && (Q >= 2 + X$ || A >= 2 || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || H >= I || 0 >= A) && (Q >= 2 + X$ || A >= 2 || H >= I || 0 >= I) && (Q >= 2 + X$ || A >= 2 || H >= I || H >= I) && (Q >= 2 + X$ || A >= 2 || H >= I || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 0 >= A) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 0 >= I) && (Q >= 2 + X$ || 0 >= I || 0 >= A || H >= I) && (Q >= 2 + X$ || 0 >= I || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 0 >= A) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 0 >= I) && (Q >= 2 + X$ || 0 >= I || I >= 2 || H >= I) && (Q >= 2 + X$ || 0 >= I || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || H >= I || 0 >= A) && (Q >= 2 + X$ || 0 >= I || H >= I || 0 >= I) && (Q >= 2 + X$ || 0 >= I || H >= I || H >= I) && (Q >= 2 + X$ || 0 >= I || H >= I || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || 0 >= A || 0 >= A) && (Q >= 2 + X$ || H >= I || 0 >= A || 0 >= I) && (Q >= 2 + X$ || H >= I || 0 >= A || H >= I) && (Q >= 2 + X$ || H >= I || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || H >= I || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || I >= 2 || 0 >= A) && (Q >= 2 + X$ || H >= I || I >= 2 || 0 >= I) && (Q >= 2 + X$ || H >= I || I >= 2 || H >= I) && (Q >= 2 + X$ || H >= I || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || H >= I || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || H >= I || 0 >= A) && (Q >= 2 + X$ || H >= I || H >= I || 0 >= I) && (Q >= 2 + X$ || H >= I || H >= I || H >= I) && (Q >= 2 + X$ || H >= I || H >= I || P >= 2*X$) && (Q >= 2 + X$ || H >= I || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,49,50,51,64,70},13->{50,64,70},18->{42,43,68,69},24->{2,52},25->{68,69},34->{8,18} ,42->{13,49,50,51,64,70},43->{68,69},49->{50,51,64,70},50->{50,51,64,70},51->{42,43,68,69},52->{52},58->{13 ,49,50,51,64,70},59->{68,69},64->{13,50,64,70},66->{},68->{13,49,50,51,64,70},69->{42,43,68,69},70->{13,49 ,50,51,64,70},75->{},76->{13,49,50,51,64,70},77->{42,43,68,69}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J + 2*K) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, 7 + 3*J + 5*K) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, 7 + 3*J + 5*K) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, 7 + 3*J + 5*K) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, 7 + 3*J + 5*K) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H + 2*I) (<52,0,J>, J) (<52,0,K>, 1 + J + 2*K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<64,0,A>, 1 + A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, ?) (<64,0,J>, J) (<64,0,K>, 7 + 3*J + 5*K) (<64,0,N>, ?) (<64,0,O>, ?) (<64,0,P>, P) (<64,0,Q>, 1) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<68,0,A>, 1 + A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, 0) (<68,0,J>, J) (<68,0,K>, 7 + 3*J + 5*K) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, 1 + A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1) (<69,0,J>, J) (<69,0,K>, 7 + 3*J + 5*K) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) (<70,0,A>, 1 + A) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, H) (<70,0,I>, ?) (<70,0,J>, J) (<70,0,K>, 7 + 3*J + 5*K) (<70,0,N>, ?) (<70,0,O>, ?) (<70,0,P>, P) (<70,0,Q>, ?) (<75,0,A>, A) (<75,0,B>, ?) (<75,0,C>, ?) (<75,0,F>, ?) (<75,0,G>, ?) (<75,0,H>, H) (<75,0,I>, I) (<75,0,J>, J) (<75,0,K>, K) (<75,0,N>, N) (<75,0,O>, O) (<75,0,P>, P) (<75,0,Q>, Q) (<76,0,A>, A) (<76,0,B>, ?) (<76,0,C>, ?) (<76,0,F>, ?) (<76,0,G>, ?) (<76,0,H>, H) (<76,0,I>, I) (<76,0,J>, J) (<76,0,K>, K) (<76,0,N>, 1) (<76,0,O>, 0) (<76,0,P>, P) (<76,0,Q>, Q) (<77,0,A>, A) (<77,0,B>, ?) (<77,0,C>, ?) (<77,0,F>, ?) (<77,0,G>, ?) (<77,0,H>, H) (<77,0,I>, 1 + I) (<77,0,J>, J) (<77,0,K>, K) (<77,0,N>, 1) (<77,0,O>, 0) (<77,0,P>, P) (<77,0,Q>, Q) + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [13,51,49,43,69,70,50,64], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f27) = 0 p(f38) = 1 The following rules are strictly oriented: [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 > 0 = f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) The following rules are weakly oriented: [J >= 1 && K = 1 && Q = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] ==> f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] ==> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [(J >= K + 4*X || J >= K + 4*X) ==> && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(I >= 2 || 0 >= I) ==> && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 0 >= 0 = f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(Q >= 2 || Q >= 2) ==> && (Q >= 2 || J >= K) && (Q >= 2 || Q >= 2*F1$) && (Q >= 2 || 3*F1$ >= 1 + Q) && (Q >= 2 || 0 >= K) && (J >= K || Q >= 2) && (J >= K || J >= K) && (J >= K || Q >= 2*F1$) && (J >= K || 3*F1$ >= 1 + Q) && (J >= K || 0 >= K) && (Q >= 2*F1$ || Q >= 2) && (Q >= 2*F1$ || J >= K) && (Q >= 2*F1$ || Q >= 2*F1$) && (Q >= 2*F1$ || 3*F1$ >= 1 + Q) && (Q >= 2*F1$ || 0 >= K) && (3*F1$ >= 1 + Q || Q >= 2) && (3*F1$ >= 1 + Q || J >= K) && (3*F1$ >= 1 + Q || Q >= 2*F1$) && (3*F1$ >= 1 + Q || 3*F1$ >= 1 + Q) && (3*F1$ >= 1 + Q || 0 >= K) && (K >= 2 || Q >= 2) && (K >= 2 || J >= K) && (K >= 2 || Q >= 2*F1$) && (K >= 2 || 3*F1$ >= 1 + Q) && (K >= 2 || 0 >= K)] f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) = 1 >= 1 = f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) We use the following global sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J + 2*K) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, 7 + 3*J + 5*K) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, 7 + 3*J + 5*K) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, 7 + 3*J + 5*K) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, 7 + 3*J + 5*K) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H + 2*I) (<52,0,J>, J) (<52,0,K>, 1 + J + 2*K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<64,0,A>, 1 + A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, ?) (<64,0,J>, J) (<64,0,K>, 7 + 3*J + 5*K) (<64,0,N>, ?) (<64,0,O>, ?) (<64,0,P>, P) (<64,0,Q>, 1) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<68,0,A>, 1 + A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, 0) (<68,0,J>, J) (<68,0,K>, 7 + 3*J + 5*K) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, 1 + A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1) (<69,0,J>, J) (<69,0,K>, 7 + 3*J + 5*K) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) (<70,0,A>, 1 + A) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, H) (<70,0,I>, ?) (<70,0,J>, J) (<70,0,K>, 7 + 3*J + 5*K) (<70,0,N>, ?) (<70,0,O>, ?) (<70,0,P>, P) (<70,0,Q>, ?) (<75,0,A>, A) (<75,0,B>, ?) (<75,0,C>, ?) (<75,0,F>, ?) (<75,0,G>, ?) (<75,0,H>, H) (<75,0,I>, I) (<75,0,J>, J) (<75,0,K>, K) (<75,0,N>, N) (<75,0,O>, O) (<75,0,P>, P) (<75,0,Q>, Q) (<76,0,A>, A) (<76,0,B>, ?) (<76,0,C>, ?) (<76,0,F>, ?) (<76,0,G>, ?) (<76,0,H>, H) (<76,0,I>, I) (<76,0,J>, J) (<76,0,K>, K) (<76,0,N>, 1) (<76,0,O>, 0) (<76,0,P>, P) (<76,0,Q>, Q) (<77,0,A>, A) (<77,0,B>, ?) (<77,0,C>, ?) (<77,0,F>, ?) (<77,0,G>, ?) (<77,0,H>, H) (<77,0,I>, 1 + I) (<77,0,J>, J) (<77,0,K>, K) (<77,0,N>, 1) (<77,0,O>, 0) (<77,0,P>, P) (<77,0,Q>, Q) * Step 60: KnowledgePropagation WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 2. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [J >= K] (1 + J + K,1) 8. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && 1 + X >= Q] (1,1) 13. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,1) [J >= 1 && K = 1 && Q = 1] (1 + J + K,1) 18. f35(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [P >= 2*X && 3*X >= 1 + P && Q >= 2 + X] (1,1) 24. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && H >= I] (1,2) 25. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [A = 1 && I >= 1 + H] (1,2) 34. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f35(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [A >= 2 && H >= 1 && I = 1] (1,2) 42. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,1,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1 + P + Q,2) 43. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,2,J,K,1,0,P,Q) [H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1 + H + I,2) 49. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,2,N,O,P,Q) [Q >= 2 && J >= K && Q >= 2*F1$ && 3*F1$ >= 1 + Q && K = 1] (1 + J + K,2) 50. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= 1 + Q] (1 + P + Q,2) 51. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,F*N + -1*G*O + N,F*O + G*N + O,P,1 + Q) [K >= 1 + J && P >= 2*X$ && 3*X$ >= 1 + P && 1 + Q >= 2 + X$] (9 + 3*P + 3*Q,2) 52. f16(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f16(A,B,C,F,G,H,1 + I,J,K,N,O,P,Q) [K >= 1 + J && H >= 1 + I] (H + I,2) 58. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,1,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && 1 + X$ >= Q] (1,3) 59. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,2,J,K,1,0,P,Q) [0 >= A && H >= 1 && I = 1 && P >= 2*X$ && 3*X$ >= 1 + P && Q >= 2 + X$] (1,3) 64. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,1) [(J >= K + 4*X || J >= K + 4*X) (2 + 2*J + 2*K,2) && (J >= K + 4*X || K + 5*X >= 1 + J) && (J >= K + 4*X || 0 >= K) && (J >= K + 4*X || J >= K) && (J >= K + 4*X || Q = 1) && (K + 5*X >= 1 + J || J >= K + 4*X) && (K + 5*X >= 1 + J || K + 5*X >= 1 + J) && (K + 5*X >= 1 + J || 0 >= K) && (K + 5*X >= 1 + J || J >= K) && (K + 5*X >= 1 + J || Q = 1) && (J >= K || J >= K + 4*X) && (J >= K || K + 5*X >= 1 + J) && (J >= K || 0 >= K) && (J >= K || J >= K) && (J >= K || Q = 1) && (K >= 2 || J >= K + 4*X) && (K >= 2 || K + 5*X >= 1 + J) && (K >= 2 || 0 >= K) && (K >= 2 || J >= K) && (K >= 2 || Q = 1) && (Q = 1 || J >= K + 4*X) && (Q = 1 || K + 5*X >= 1 + J) && (Q = 1 || 0 >= K) && (Q = 1 || J >= K) && (Q = 1 || Q = 1)] 66. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(-1,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || 0 >= A) (2,4) && (A >= 2 || I >= 1 + H) && (A >= 2 || 1 + A = 0) && (I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 1 + A = 0) && (1 + A = 0 || 0 >= A) && (1 + A = 0 || I >= 1 + H) && (1 + A = 0 || 1 + A = 0)] 68. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*P + 2*Q,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 1 + X$ >= Q) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q)] 69. f27(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,B,C,F,G,H,1 + I,J,K,1,0,P,Q) [(I >= 2 || 0 >= I) (2 + 2*H + 2*I,4) && (I >= 2 || H >= I) && (I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I) && (H >= I || H >= I) && (H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$)] 70. f38(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,B,C,F,G,H,I,J,1 + K,N,O,P,Q) [(Q >= 2 || Q >= 2) (3 + J + 2*K,4) && (Q >= 2 || J >= K) && (Q >= 2 || Q >= 2*F1$) && (Q >= 2 || 3*F1$ >= 1 + Q) && (Q >= 2 || 0 >= K) && (J >= K || Q >= 2) && (J >= K || J >= K) && (J >= K || Q >= 2*F1$) && (J >= K || 3*F1$ >= 1 + Q) && (J >= K || 0 >= K) && (Q >= 2*F1$ || Q >= 2) && (Q >= 2*F1$ || J >= K) && (Q >= 2*F1$ || Q >= 2*F1$) && (Q >= 2*F1$ || 3*F1$ >= 1 + Q) && (Q >= 2*F1$ || 0 >= K) && (3*F1$ >= 1 + Q || Q >= 2) && (3*F1$ >= 1 + Q || J >= K) && (3*F1$ >= 1 + Q || Q >= 2*F1$) && (3*F1$ >= 1 + Q || 3*F1$ >= 1 + Q) && (3*F1$ >= 1 + Q || 0 >= K) && (K >= 2 || Q >= 2) && (K >= 2 || J >= K) && (K >= 2 || Q >= 2*F1$) && (K >= 2 || 3*F1$ >= 1 + Q) && (K >= 2 || 0 >= K)] 75. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f1(A,X,Y,B1,C1,H,I,J,K,N,O,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,8) && (A >= 2 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 2 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 2 || A >= 2 || A >= 0 || 0 >= A) && (A >= 2 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 2 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 2 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 2 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 2 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 2 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 2 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 2 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 2 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (A >= 0 || A >= 2 || 0 >= A || 0 >= A) && (A >= 0 || A >= 2 || 0 >= A || 0 >= 2 + A) && (A >= 0 || A >= 2 || 0 >= A || I >= 1 + H) && (A >= 0 || A >= 2 || A >= 0 || 0 >= A) && (A >= 0 || A >= 2 || A >= 0 || 0 >= 2 + A) && (A >= 0 || A >= 2 || A >= 0 || I >= 1 + H) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= A) && (A >= 0 || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || A >= 2 || I >= 1 + H || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= A) && (A >= 0 || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= A) && (A >= 0 || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= A) && (A >= 0 || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || 0 >= A || I >= 1 + H) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= A) && (A >= 0 || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || A >= 0 || I >= 1 + H) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= A) && (A >= 0 || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (A >= 0 || I >= 1 + H || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= A) && (I >= 1 + H || A >= 2 || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || 0 >= A || I >= 1 + H) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= A) && (I >= 1 + H || A >= 2 || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || A >= 0 || I >= 1 + H) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= A) && (I >= 1 + H || A >= 2 || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || A >= 2 || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || 0 >= A || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || A >= 0 || I >= 1 + H) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || 0 >= 2 + A || I >= 1 + H || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= A) && (I >= 1 + H || I >= 1 + H || 0 >= A || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || 0 >= A || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= A) && (I >= 1 + H || I >= 1 + H || A >= 0 || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || A >= 0 || I >= 1 + H) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || 0 >= 2 + A) && (I >= 1 + H || I >= 1 + H || I >= 1 + H || I >= 1 + H)] 76. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f38(A,X,Y,B1,C1,H,I,J,K,1,0,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,12) && (A >= 2 || A >= 2 || 0 >= A || 0 >= I) && (A >= 2 || A >= 2 || 0 >= A || H >= I) && (A >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (A >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 0 >= A || 1 + X$ >= Q) && (A >= 2 || A >= 2 || I >= 2 || 0 >= A) && (A >= 2 || A >= 2 || I >= 2 || 0 >= I) && (A >= 2 || A >= 2 || I >= 2 || H >= I) && (A >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (A >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || I >= 2 || 1 + X$ >= Q) && (A >= 2 || A >= 2 || H >= I || 0 >= A) && (A >= 2 || A >= 2 || H >= I || 0 >= I) && (A >= 2 || A >= 2 || H >= I || H >= I) && (A >= 2 || A >= 2 || H >= I || P >= 2*X$) && (A >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || H >= I || 1 + X$ >= Q) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= A) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 0 >= I) && (A >= 2 || A >= 2 || 1 + X$ >= Q || H >= I) && (A >= 2 || A >= 2 || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 0 >= A || 0 >= A) && (A >= 2 || 0 >= I || 0 >= A || 0 >= I) && (A >= 2 || 0 >= I || 0 >= A || H >= I) && (A >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (A >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 0 >= A || 1 + X$ >= Q) && (A >= 2 || 0 >= I || I >= 2 || 0 >= A) && (A >= 2 || 0 >= I || I >= 2 || 0 >= I) && (A >= 2 || 0 >= I || I >= 2 || H >= I) && (A >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (A >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || I >= 2 || 1 + X$ >= Q) && (A >= 2 || 0 >= I || H >= I || 0 >= A) && (A >= 2 || 0 >= I || H >= I || 0 >= I) && (A >= 2 || 0 >= I || H >= I || H >= I) && (A >= 2 || 0 >= I || H >= I || P >= 2*X$) && (A >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || H >= I || 1 + X$ >= Q) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 0 >= A) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 0 >= I) && (A >= 2 || 0 >= I || 1 + X$ >= Q || H >= I) && (A >= 2 || 0 >= I || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || H >= I || 0 >= A || 0 >= A) && (A >= 2 || H >= I || 0 >= A || 0 >= I) && (A >= 2 || H >= I || 0 >= A || H >= I) && (A >= 2 || H >= I || 0 >= A || P >= 2*X$) && (A >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 0 >= A || 1 + X$ >= Q) && (A >= 2 || H >= I || I >= 2 || 0 >= A) && (A >= 2 || H >= I || I >= 2 || 0 >= I) && (A >= 2 || H >= I || I >= 2 || H >= I) && (A >= 2 || H >= I || I >= 2 || P >= 2*X$) && (A >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || H >= I || I >= 2 || 1 + X$ >= Q) && (A >= 2 || H >= I || H >= I || 0 >= A) && (A >= 2 || H >= I || H >= I || 0 >= I) && (A >= 2 || H >= I || H >= I || H >= I) && (A >= 2 || H >= I || H >= I || P >= 2*X$) && (A >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || H >= I || H >= I || 1 + X$ >= Q) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || H >= I || P >= 2*X$ || H >= I) && (A >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (A >= 2 || H >= I || 1 + X$ >= Q || 0 >= A) && (A >= 2 || H >= I || 1 + X$ >= Q || 0 >= I) && (A >= 2 || H >= I || 1 + X$ >= Q || H >= I) && (A >= 2 || H >= I || 1 + X$ >= Q || P >= 2*X$) && (A >= 2 || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (A >= 2 || P >= 2*X$ 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>= I) && (I >= 2 || H >= I || 0 >= A || P >= 2*X$) && (I >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 0 >= A || 1 + X$ >= Q) && (I >= 2 || H >= I || I >= 2 || 0 >= A) && (I >= 2 || H >= I || I >= 2 || 0 >= I) && (I >= 2 || H >= I || I >= 2 || H >= I) && (I >= 2 || H >= I || I >= 2 || P >= 2*X$) && (I >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || H >= I || I >= 2 || 1 + X$ >= Q) && (I >= 2 || H >= I || H >= I || 0 >= A) && (I >= 2 || H >= I || H >= I || 0 >= I) && (I >= 2 || H >= I || H >= I || H >= I) && (I >= 2 || H >= I || H >= I || P >= 2*X$) && (I >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (I >= 2 || H >= I || H >= I || 1 + X$ >= Q) && (I >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (I >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (I >= 2 || H >= I || P >= 2*X$ || H >= I) && (I >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (I >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || H >= I || P >= 2*X$ || 1 + X$ >= Q) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (I >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 1 + X$ >= Q) && (I >= 2 || H >= I || 1 + X$ >= Q || 0 >= A) && (I >= 2 || H >= I || 1 + X$ >= Q || 0 >= I) && (I >= 2 || H >= I || 1 + X$ >= Q || H >= I) && (I >= 2 || H >= I || 1 + X$ >= Q || P >= 2*X$) && (I >= 2 || H >= I || 1 + X$ >= Q || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 1 + X$ >= Q || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (I >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (I >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (I >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (I >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (I >= 2 || P >= 2*X$ || H >= I || H >= I) && (I >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (I >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (I >= 2 || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (I >= 2 || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (I >= 2 || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (I >= 2 || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || H >= I) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (I >= 2 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>= Q) && (H >= I || 1 + X$ >= Q || 0 >= A || 0 >= A) && (H >= I || 1 + X$ >= Q || 0 >= A || 0 >= I) && (H >= I || 1 + X$ >= Q || 0 >= A || H >= I) && (H >= I || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (H >= I || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || I >= 2 || 0 >= A) && (H >= I || 1 + X$ >= Q || I >= 2 || 0 >= I) && (H >= I || 1 + X$ >= Q || I >= 2 || H >= I) && (H >= I || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (H >= I || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || H >= I || 0 >= A) && (H >= I || 1 + X$ >= Q || H >= I || 0 >= I) && (H >= I || 1 + X$ >= Q || H >= I || H >= I) && (H >= I || 1 + X$ >= Q || H >= I || P >= 2*X$) && (H >= I || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (H >= I || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (H >= I || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && 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0 >= A) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || H >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= A) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= I) && (P >= 2*X$ || 0 >= I || H >= I || H >= I) && (P >= 2*X$ || 0 >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (P >= 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|| H >= I) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || H >= I || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || H >= I || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || H >= I || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || H >= I || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (P >= 2*X$ || 1 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>= I || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || H >= I) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || H >= I || H >= I) && (1 + X$ >= Q || P >= 2*X$ || H >= I || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || H >= I) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 0 >= A || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || I >= 2 || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || H >= I || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$ || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P || 1 + X$ >= Q) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= A) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 0 >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || H >= I) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || P >= 2*X$) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 3*X$ >= 1 + P) && (1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q || 1 + X$ >= Q)] 77. f2(A,B,C,F,G,H,I,J,K,N,O,P,Q) -> f27(A,X,Y,B1,C1,H,1 + I,J,K,1,0,P,Q) [(A >= 2 || A >= 2 || 0 >= A || 0 >= A) (4,12) && (A >= 2 || A >= 2 || 0 >= A || 0 >= I) && (A >= 2 || A >= 2 || 0 >= A || H >= I) && (A >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (A >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 0 >= A || Q >= 2 + X$) && (A >= 2 || A >= 2 || I >= 2 || 0 >= A) && (A >= 2 || A >= 2 || I >= 2 || 0 >= I) && (A >= 2 || A >= 2 || I >= 2 || H >= I) && (A >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (A >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || I >= 2 || Q >= 2 + X$) && (A >= 2 || A >= 2 || H >= I || 0 >= A) && (A >= 2 || A >= 2 || H >= I || 0 >= I) && (A >= 2 || A >= 2 || H >= I || H >= I) && (A >= 2 || A >= 2 || H >= I || P >= 2*X$) && (A >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || H >= I || Q >= 2 + X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (A >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (A >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (A >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= A) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= I) && (A >= 2 || A >= 2 || Q >= 2 + X$ || H >= I) && (A >= 2 || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || 0 >= I || 0 >= A || 0 >= A) && (A >= 2 || 0 >= I || 0 >= A || 0 >= I) && (A >= 2 || 0 >= I || 0 >= A || H >= I) && (A >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (A >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 0 >= A || Q >= 2 + X$) && (A >= 2 || 0 >= I || I >= 2 || 0 >= A) && (A >= 2 || 0 >= I || I >= 2 || 0 >= I) && (A >= 2 || 0 >= I || I >= 2 || H >= I) && (A >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (A >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || I >= 2 || Q >= 2 + X$) && (A >= 2 || 0 >= I || H >= I || 0 >= A) && (A >= 2 || 0 >= I || H >= I || 0 >= I) && (A >= 2 || 0 >= I || H >= I || H >= I) && (A >= 2 || 0 >= I || H >= I || P >= 2*X$) && (A >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || H >= I || Q >= 2 + X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (A >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= A) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= I) && (A >= 2 || 0 >= I || Q >= 2 + X$ || H >= I) && (A >= 2 || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || H >= I || 0 >= A || 0 >= A) && (A >= 2 || H >= I || 0 >= A || 0 >= I) && (A >= 2 || H >= I || 0 >= A || H >= I) && (A >= 2 || H >= I || 0 >= A || P >= 2*X$) && (A >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 0 >= A || Q >= 2 + X$) && (A >= 2 || H >= I || I >= 2 || 0 >= A) && (A >= 2 || H >= I || I >= 2 || 0 >= I) && (A >= 2 || H >= I || I >= 2 || H >= I) && (A >= 2 || H >= I || I >= 2 || P >= 2*X$) && (A >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || H >= I || I >= 2 || Q >= 2 + X$) && (A >= 2 || H >= I || H >= I || 0 >= A) && (A >= 2 || H >= I || H >= I || 0 >= I) && (A >= 2 || H >= I || H >= I || H >= I) && (A >= 2 || H >= I || H >= I || P >= 2*X$) && (A >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (A >= 2 || H >= I || H >= I || Q >= 2 + X$) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (A >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (A >= 2 || H >= I || P >= 2*X$ || H >= I) && (A >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (A >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (A >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || H >= I || Q >= 2 + X$ || 0 >= A) && (A >= 2 || H >= I || Q >= 2 + X$ || 0 >= I) && (A >= 2 || H >= I || Q >= 2 + X$ || H >= I) && (A >= 2 || H >= I || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (A >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (A >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (A >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (A >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (A >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (A >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (A >= 2 || P >= 2*X$ || H >= I || H >= I) && (A >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (A >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || H >= I || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || H >= I) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || H >= I) && (A >= 2 || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= A) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= I) && (A >= 2 || Q >= 2 + X$ || 0 >= A || H >= I) && (A >= 2 || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= A) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= I) && (A >= 2 || Q >= 2 + X$ || I >= 2 || H >= I) && (A >= 2 || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || H >= I || 0 >= A) && (A >= 2 || Q >= 2 + X$ || H >= I || 0 >= I) && (A >= 2 || Q >= 2 + X$ || H >= I || H >= I) && (A >= 2 || Q >= 2 + X$ || H >= I || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (A >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || A >= 2 || 0 >= A || 0 >= A) && (I >= 2 || A >= 2 || 0 >= A || 0 >= I) && (I >= 2 || A >= 2 || 0 >= A || H >= I) && (I >= 2 || A >= 2 || 0 >= A || P >= 2*X$) && (I >= 2 || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || 0 >= A || Q >= 2 + X$) && (I >= 2 || A >= 2 || I >= 2 || 0 >= A) && (I >= 2 || A >= 2 || I >= 2 || 0 >= I) && (I >= 2 || A >= 2 || I >= 2 || H >= I) && (I >= 2 || A >= 2 || I >= 2 || P >= 2*X$) && (I >= 2 || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || I >= 2 || Q >= 2 + X$) && (I >= 2 || A >= 2 || H >= I || 0 >= A) && (I >= 2 || A >= 2 || H >= I || 0 >= I) && (I >= 2 || A >= 2 || H >= I || H >= I) && (I >= 2 || A >= 2 || H >= I || P >= 2*X$) && (I >= 2 || A >= 2 || H >= I || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || H >= I || Q >= 2 + X$) && (I >= 2 || A >= 2 || P >= 2*X$ || 0 >= A) && (I >= 2 || A >= 2 || P >= 2*X$ || 0 >= I) && (I >= 2 || A >= 2 || P >= 2*X$ || H >= I) && (I >= 2 || A >= 2 || P >= 2*X$ || P >= 2*X$) && (I >= 2 || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || H >= I) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= A) && (I >= 2 || A >= 2 || Q >= 2 + X$ || 0 >= I) && (I >= 2 || A >= 2 || Q >= 2 + X$ || H >= I) && (I >= 2 || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || 0 >= I || 0 >= A || 0 >= A) && (I >= 2 || 0 >= I || 0 >= A || 0 >= I) && (I >= 2 || 0 >= I || 0 >= A || H >= I) && (I >= 2 || 0 >= I || 0 >= A || P >= 2*X$) && (I >= 2 || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || 0 >= A || Q >= 2 + X$) && (I >= 2 || 0 >= I || I >= 2 || 0 >= A) && (I >= 2 || 0 >= I || I >= 2 || 0 >= I) && (I >= 2 || 0 >= I || I >= 2 || H >= I) && (I >= 2 || 0 >= I || I >= 2 || P >= 2*X$) && (I >= 2 || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || I >= 2 || Q >= 2 + X$) && (I >= 2 || 0 >= I || H >= I || 0 >= A) && (I >= 2 || 0 >= I || H >= I || 0 >= I) && (I >= 2 || 0 >= I || H >= I || H >= I) && (I >= 2 || 0 >= I || H >= I || P >= 2*X$) && (I >= 2 || 0 >= I || H >= I || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || H >= I || Q >= 2 + X$) && (I >= 2 || 0 >= I || P >= 2*X$ || 0 >= A) && (I >= 2 || 0 >= I || P >= 2*X$ || 0 >= I) && (I >= 2 || 0 >= I || P >= 2*X$ || H >= I) && (I >= 2 || 0 >= I || P >= 2*X$ || P >= 2*X$) && (I >= 2 || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || H >= I) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= A) && (I >= 2 || 0 >= I || Q >= 2 + X$ || 0 >= I) && (I >= 2 || 0 >= I || Q >= 2 + X$ || H >= I) && (I >= 2 || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || H >= I || 0 >= A || 0 >= A) && (I >= 2 || H >= I || 0 >= A || 0 >= I) && (I >= 2 || H >= I || 0 >= A || H >= I) && (I >= 2 || H >= I || 0 >= A || P >= 2*X$) && (I >= 2 || H >= I || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 0 >= A || Q >= 2 + X$) && (I >= 2 || H >= I || I >= 2 || 0 >= A) && (I >= 2 || H >= I || I >= 2 || 0 >= I) && (I >= 2 || H >= I || I >= 2 || H >= I) && (I >= 2 || H >= I || I >= 2 || P >= 2*X$) && (I >= 2 || H >= I || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || H >= I || I >= 2 || Q >= 2 + X$) && (I >= 2 || H >= I || H >= I || 0 >= A) && (I >= 2 || H >= I || H >= I || 0 >= I) && (I >= 2 || H >= I || H >= I || H >= I) && (I >= 2 || H >= I || H >= I || P >= 2*X$) && (I >= 2 || H >= I || H >= I || 3*X$ >= 1 + P) && (I >= 2 || H >= I || H >= I || Q >= 2 + X$) && (I >= 2 || H >= I || P >= 2*X$ || 0 >= A) && (I >= 2 || H >= I || P >= 2*X$ || 0 >= I) && (I >= 2 || H >= I || P >= 2*X$ || H >= I) && (I >= 2 || H >= I || P >= 2*X$ || P >= 2*X$) && (I >= 2 || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || H >= I || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || H >= I || 3*X$ >= 1 + P || H >= I) && (I >= 2 || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || H >= I || Q >= 2 + X$ || 0 >= A) && (I >= 2 || H >= I || Q >= 2 + X$ || 0 >= I) && (I >= 2 || H >= I || Q >= 2 + X$ || H >= I) && (I >= 2 || H >= I || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || 0 >= A || 0 >= A) && (I >= 2 || P >= 2*X$ || 0 >= A || 0 >= I) && (I >= 2 || P >= 2*X$ || 0 >= A || H >= I) && (I >= 2 || P >= 2*X$ || 0 >= A || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= A) && (I >= 2 || P >= 2*X$ || I >= 2 || 0 >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || H >= I) && (I >= 2 || P >= 2*X$ || I >= 2 || P >= 2*X$) && (I >= 2 || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= A) && (I >= 2 || P >= 2*X$ || H >= I || 0 >= I) && (I >= 2 || P >= 2*X$ || H >= I || H >= I) && (I >= 2 || P >= 2*X$ || H >= I || P >= 2*X$) && (I >= 2 || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || H >= I || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || H >= I) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || H >= I) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || H >= I) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || H >= I || H >= I) && (I >= 2 || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= A) && (I >= 2 || Q >= 2 + X$ || 0 >= A || 0 >= I) && (I >= 2 || Q >= 2 + X$ || 0 >= A || H >= I) && (I >= 2 || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= A) && (I >= 2 || Q >= 2 + X$ || I >= 2 || 0 >= I) && (I >= 2 || Q >= 2 + X$ || I >= 2 || H >= I) && (I >= 2 || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || H >= I || 0 >= A) && (I >= 2 || Q >= 2 + X$ || H >= I || 0 >= I) && (I >= 2 || Q >= 2 + X$ || H >= I || H >= I) && (I >= 2 || Q >= 2 + X$ || H >= I || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (I >= 2 || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || A >= 2 || 0 >= A || 0 >= A) && (H >= I || A >= 2 || 0 >= A || 0 >= I) && (H >= I || A >= 2 || 0 >= A || H >= I) && (H >= I || A >= 2 || 0 >= A || P >= 2*X$) && (H >= I || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (H >= I || A >= 2 || 0 >= A || Q >= 2 + X$) && (H >= I || A >= 2 || I >= 2 || 0 >= A) && (H >= I || A >= 2 || I >= 2 || 0 >= I) && (H >= I || A >= 2 || I >= 2 || H >= I) && (H >= I || A >= 2 || I >= 2 || P >= 2*X$) && (H >= I || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (H >= I || A >= 2 || I >= 2 || Q >= 2 + X$) && (H >= I || A >= 2 || H >= I || 0 >= A) && (H >= I || A >= 2 || H >= I || 0 >= I) && (H >= I || A >= 2 || H >= I || H >= I) && (H >= I || A >= 2 || H >= I || P >= 2*X$) && (H >= I || A >= 2 || H >= I || 3*X$ >= 1 + P) && (H >= I || A >= 2 || H >= I || Q >= 2 + X$) && (H >= I || A >= 2 || P >= 2*X$ || 0 >= A) && (H >= I || A >= 2 || P >= 2*X$ || 0 >= I) && (H >= I || A >= 2 || P >= 2*X$ || H >= I) && (H >= I || A >= 2 || P >= 2*X$ || P >= 2*X$) && (H >= I || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (H >= I || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (H >= I || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (H >= I || A >= 2 || 3*X$ >= 1 + P || H >= I) && (H >= I || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || A >= 2 || Q >= 2 + X$ || 0 >= A) && (H >= I || A >= 2 || Q >= 2 + X$ || 0 >= I) && (H >= I || A >= 2 || Q >= 2 + X$ || H >= I) && (H >= I || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (H >= I || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || 0 >= I || 0 >= A || 0 >= A) && (H >= I || 0 >= I || 0 >= A || 0 >= I) && (H >= I || 0 >= I || 0 >= A || H >= I) && (H >= I || 0 >= I || 0 >= A || P >= 2*X$) && (H >= I || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 0 >= I || 0 >= A || Q >= 2 + X$) && (H >= I || 0 >= I || I >= 2 || 0 >= A) && (H >= I || 0 >= I || I >= 2 || 0 >= I) && (H >= I || 0 >= I || I >= 2 || H >= I) && (H >= I || 0 >= I || I >= 2 || P >= 2*X$) && (H >= I || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 0 >= I || I >= 2 || Q >= 2 + X$) && (H >= I || 0 >= I || H >= I || 0 >= A) && (H >= I || 0 >= I || H >= I || 0 >= I) && (H >= I || 0 >= I || H >= I || H >= I) && (H >= I || 0 >= I || H >= I || P >= 2*X$) && (H >= I || 0 >= I || H >= I || 3*X$ >= 1 + P) && (H >= I || 0 >= I || H >= I || Q >= 2 + X$) && (H >= I || 0 >= I || P >= 2*X$ || 0 >= A) && (H >= I || 0 >= I || P >= 2*X$ || 0 >= I) && (H >= I || 0 >= I || P >= 2*X$ || H >= I) && (H >= I || 0 >= I || P >= 2*X$ || P >= 2*X$) && (H >= I || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (H >= I || 0 >= I || 3*X$ >= 1 + P || H >= I) && (H >= I || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || 0 >= I || Q >= 2 + X$ || 0 >= A) && (H >= I || 0 >= I || Q >= 2 + X$ || 0 >= I) && (H >= I || 0 >= I || Q >= 2 + X$ || H >= I) && (H >= I || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (H >= I || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || H >= I || 0 >= A || 0 >= A) && (H >= I || H >= I || 0 >= A || 0 >= I) && (H >= I || H >= I || 0 >= A || H >= I) && (H >= I || H >= I || 0 >= A || P >= 2*X$) && (H >= I || H >= I || 0 >= A || 3*X$ >= 1 + P) && (H >= I || H >= I || 0 >= A || Q >= 2 + X$) && (H >= I || H >= I || I >= 2 || 0 >= A) && (H >= I || H >= I || I >= 2 || 0 >= I) && (H >= I || H >= I || I >= 2 || H >= I) && (H >= I || H >= I || I >= 2 || P >= 2*X$) && (H >= I || H >= I || I >= 2 || 3*X$ >= 1 + P) && (H >= I || H >= I || I >= 2 || Q >= 2 + X$) && (H >= I || H >= I || H >= I || 0 >= A) && (H >= I || H >= I || H >= I || 0 >= I) && (H >= I || H >= I || H >= I || H >= I) && (H >= I || H >= I || H >= I || P >= 2*X$) && (H >= I || H >= I || H >= I || 3*X$ >= 1 + P) && (H >= I || H >= I || H >= I || Q >= 2 + X$) && (H >= I || H >= I || P >= 2*X$ || 0 >= A) && (H >= I || H >= I || P >= 2*X$ || 0 >= I) && (H >= I || H >= I || P >= 2*X$ || H >= I) && (H >= I || H >= I || 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>= I || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 0 >= A || H >= I) && (H >= I || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (H >= I || 3*X$ >= 1 + P || I >= 2 || H >= I) && (H >= I || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || H >= I || 0 >= A) && (H >= I || 3*X$ >= 1 + P || H >= I || 0 >= I) && (H >= I || 3*X$ >= 1 + P || H >= I || H >= I) && (H >= I || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || 0 >= A || 0 >= A) && (H >= I || Q >= 2 + X$ || 0 >= A || 0 >= I) && (H >= I || Q >= 2 + X$ || 0 >= A || H >= I) && (H >= I || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (H >= I || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || I >= 2 || 0 >= A) && (H >= I || Q >= 2 + X$ || I >= 2 || 0 >= I) && (H >= I || Q >= 2 + X$ || I >= 2 || H >= I) && (H >= I || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (H >= I || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || H >= I || 0 >= A) && (H >= I || Q >= 2 + X$ || H >= I || 0 >= I) && (H >= I || Q >= 2 + X$ || H >= I || H >= I) && (H >= I || Q >= 2 + X$ || H >= I || P >= 2*X$) && (H >= I || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (H >= I || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || 0 >= A || 0 >= A) && (P >= 2*X$ || A >= 2 || 0 >= A || 0 >= I) && (P >= 2*X$ || A >= 2 || 0 >= A || H >= I) && (P >= 2*X$ || A >= 2 || 0 >= A || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || I >= 2 || 0 >= A) && (P >= 2*X$ || A >= 2 || I >= 2 || 0 >= I) && (P >= 2*X$ || A >= 2 || I >= 2 || H >= I) && (P >= 2*X$ || A >= 2 || I >= 2 || P >= 2*X$) && (P >= 2*X$ || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= A) && (P >= 2*X$ || A >= 2 || H >= I || 0 >= I) && (P >= 2*X$ || A >= 2 || H >= I || H >= I) && (P >= 2*X$ || A >= 2 || H >= I || P >= 2*X$) && (P >= 2*X$ || A >= 2 || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || H >= I || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || H >= I) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || 0 >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || H >= I) && (P >= 2*X$ || 0 >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || 0 >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || H >= I) && (P >= 2*X$ || 0 >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= A) && (P >= 2*X$ || 0 >= I || H >= I || 0 >= I) && (P >= 2*X$ || 0 >= I || H >= I || H >= I) && (P >= 2*X$ || 0 >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || H >= I || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= A) && (P >= 2*X$ || H >= I || 0 >= A || 0 >= I) && (P >= 2*X$ || H >= I || 0 >= A || H >= I) && (P >= 2*X$ || H >= I || 0 >= A || P >= 2*X$) && (P >= 2*X$ || H >= I || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= A) && (P >= 2*X$ || H >= I || I >= 2 || 0 >= I) && (P >= 2*X$ || H >= I || I >= 2 || H >= I) && (P >= 2*X$ || H >= I || I >= 2 || P >= 2*X$) && (P >= 2*X$ || H >= I || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || H >= I || H >= I || 0 >= A) && (P >= 2*X$ || H >= I || H >= I || 0 >= I) && (P >= 2*X$ || H >= I || H >= I || H >= I) && (P >= 2*X$ || H >= I || H >= I || P >= 2*X$) && (P >= 2*X$ || H >= I || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || H >= I || Q >= 2 + X$) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || H >= I || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || H >= I) && (P >= 2*X$ || H >= I || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || H >= I) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || H >= I) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || H >= I || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || H >= I || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || H >= I) && (P >= 2*X$ || P >= 2*X$ || H >= I || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || H >= I || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || H >= I) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || H >= I) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || H >= I || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || H >= I) && (3*X$ >= 1 + P || A >= 2 || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || H >= I) && (3*X$ >= 1 + P || 0 >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || H >= I || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || H >= I) && (3*X$ >= 1 + P || H >= I || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || H >= I || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || H >= I) && (3*X$ >= 1 + P || H >= I || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= A) && (3*X$ >= 1 + P || H >= I || H >= I || 0 >= I) && (3*X$ >= 1 + P || H >= I || H >= I || H >= I) && (3*X$ >= 1 + P || H >= I || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 0 >= A) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 0 >= I) && (Q >= 2 + X$ || A >= 2 || 0 >= A || H >= I) && (Q >= 2 + X$ || A >= 2 || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 0 >= A) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 0 >= I) && (Q >= 2 + X$ || A >= 2 || I >= 2 || H >= I) && (Q >= 2 + X$ || A >= 2 || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || H >= I || 0 >= A) && (Q >= 2 + X$ || A >= 2 || H >= I || 0 >= I) && (Q >= 2 + X$ || A >= 2 || H >= I || H >= I) && (Q >= 2 + X$ || A >= 2 || H >= I || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || A >= 2 || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 0 >= A) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 0 >= I) && (Q >= 2 + X$ || 0 >= I || 0 >= A || H >= I) && (Q >= 2 + X$ || 0 >= I || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 0 >= A) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 0 >= I) && (Q >= 2 + X$ || 0 >= I || I >= 2 || H >= I) && (Q >= 2 + X$ || 0 >= I || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || H >= I || 0 >= A) && (Q >= 2 + X$ || 0 >= I || H >= I || 0 >= I) && (Q >= 2 + X$ || 0 >= I || H >= I || H >= I) && (Q >= 2 + X$ || 0 >= I || H >= I || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 0 >= I || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || 0 >= A || 0 >= A) && (Q >= 2 + X$ || H >= I || 0 >= A || 0 >= I) && (Q >= 2 + X$ || H >= I || 0 >= A || H >= I) && (Q >= 2 + X$ || H >= I || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || H >= I || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || I >= 2 || 0 >= A) && (Q >= 2 + X$ || H >= I || I >= 2 || 0 >= I) && (Q >= 2 + X$ || H >= I || I >= 2 || H >= I) && (Q >= 2 + X$ || H >= I || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || H >= I || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || H >= I || 0 >= A) && (Q >= 2 + X$ || H >= I || H >= I || 0 >= I) && (Q >= 2 + X$ || H >= I || H >= I || H >= I) && (Q >= 2 + X$ || H >= I || H >= I || P >= 2*X$) && (Q >= 2 + X$ || H >= I || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || H >= I || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$ || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || I >= 2 || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || H >= I || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$ || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P || Q >= 2 + X$) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= A) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 0 >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || H >= I) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || P >= 2*X$) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || 3*X$ >= 1 + P) && (Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$ || Q >= 2 + X$)] Signature: {(f1,13);(f13,13);(f16,13);(f2,13);(f27,13);(f35,13);(f38,13);(f53,13)} Flow Graph: [2->{2,52},8->{13,49,50,51,64,70},13->{50,64,70},18->{42,43,68,69},24->{2,52},25->{68,69},34->{8,18} ,42->{13,49,50,51,64,70},43->{68,69},49->{50,51,64,70},50->{50,51,64,70},51->{42,43,68,69},52->{52},58->{13 ,49,50,51,64,70},59->{68,69},64->{13,50,64,70},66->{},68->{13,49,50,51,64,70},69->{42,43,68,69},70->{13,49 ,50,51,64,70},75->{},76->{13,49,50,51,64,70},77->{42,43,68,69}] Sizebounds: (< 2,0,A>, 1) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,F>, ?) (< 2,0,G>, ?) (< 2,0,H>, H) (< 2,0,I>, I) (< 2,0,J>, J) (< 2,0,K>, 1 + J + 2*K) (< 2,0,N>, N) (< 2,0,O>, O) (< 2,0,P>, P) (< 2,0,Q>, Q) (< 8,0,A>, A) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,F>, ?) (< 8,0,G>, ?) (< 8,0,H>, H) (< 8,0,I>, 1) (< 8,0,J>, J) (< 8,0,K>, K) (< 8,0,N>, 1) (< 8,0,O>, 0) (< 8,0,P>, P) (< 8,0,Q>, Q) (<13,0,A>, 1 + A) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,F>, ?) (<13,0,G>, ?) (<13,0,H>, H) (<13,0,I>, ?) (<13,0,J>, J) (<13,0,K>, 2) (<13,0,N>, ?) (<13,0,O>, ?) (<13,0,P>, P) (<13,0,Q>, 1) (<18,0,A>, A) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,F>, ?) (<18,0,G>, ?) (<18,0,H>, H) (<18,0,I>, 2) (<18,0,J>, J) (<18,0,K>, K) (<18,0,N>, 1) (<18,0,O>, 0) (<18,0,P>, P) (<18,0,Q>, Q) (<24,0,A>, 1) (<24,0,B>, ?) (<24,0,C>, ?) (<24,0,F>, ?) (<24,0,G>, ?) (<24,0,H>, H) (<24,0,I>, I) (<24,0,J>, J) (<24,0,K>, K) (<24,0,N>, N) (<24,0,O>, O) (<24,0,P>, P) (<24,0,Q>, Q) (<25,0,A>, 1) (<25,0,B>, ?) (<25,0,C>, ?) (<25,0,F>, ?) (<25,0,G>, ?) (<25,0,H>, H) (<25,0,I>, I) (<25,0,J>, J) (<25,0,K>, K) (<25,0,N>, N) (<25,0,O>, O) (<25,0,P>, P) (<25,0,Q>, Q) (<34,0,A>, A) (<34,0,B>, ?) (<34,0,C>, ?) (<34,0,F>, ?) (<34,0,G>, ?) (<34,0,H>, H) (<34,0,I>, 1) (<34,0,J>, J) (<34,0,K>, K) (<34,0,N>, 1) (<34,0,O>, 0) (<34,0,P>, P) (<34,0,Q>, Q) (<42,0,A>, 1 + A) (<42,0,B>, ?) (<42,0,C>, ?) (<42,0,F>, ?) (<42,0,G>, ?) (<42,0,H>, H) (<42,0,I>, 1) (<42,0,J>, J) (<42,0,K>, 7 + 3*J + 5*K) (<42,0,N>, 1) (<42,0,O>, 0) (<42,0,P>, P) (<42,0,Q>, ?) (<43,0,A>, 1 + A) (<43,0,B>, ?) (<43,0,C>, ?) (<43,0,F>, ?) (<43,0,G>, ?) (<43,0,H>, H) (<43,0,I>, 2) (<43,0,J>, J) (<43,0,K>, 7 + 3*J + 5*K) (<43,0,N>, 1) (<43,0,O>, 0) (<43,0,P>, P) (<43,0,Q>, ?) (<49,0,A>, 1 + A) (<49,0,B>, ?) (<49,0,C>, ?) (<49,0,F>, ?) (<49,0,G>, ?) (<49,0,H>, H) (<49,0,I>, ?) (<49,0,J>, J) (<49,0,K>, 2) (<49,0,N>, ?) (<49,0,O>, ?) (<49,0,P>, P) (<49,0,Q>, ?) (<50,0,A>, 1 + A) (<50,0,B>, ?) (<50,0,C>, ?) (<50,0,F>, ?) (<50,0,G>, ?) (<50,0,H>, H) (<50,0,I>, ?) (<50,0,J>, J) (<50,0,K>, 7 + 3*J + 5*K) (<50,0,N>, ?) (<50,0,O>, ?) (<50,0,P>, P) (<50,0,Q>, ?) (<51,0,A>, 1 + A) (<51,0,B>, ?) (<51,0,C>, ?) (<51,0,F>, ?) (<51,0,G>, ?) (<51,0,H>, H) (<51,0,I>, ?) (<51,0,J>, J) (<51,0,K>, 7 + 3*J + 5*K) (<51,0,N>, ?) (<51,0,O>, ?) (<51,0,P>, P) (<51,0,Q>, ?) (<52,0,A>, 1) (<52,0,B>, ?) (<52,0,C>, ?) (<52,0,F>, ?) (<52,0,G>, ?) (<52,0,H>, H) (<52,0,I>, H + 2*I) (<52,0,J>, J) (<52,0,K>, 1 + J + 2*K) (<52,0,N>, N) (<52,0,O>, O) (<52,0,P>, P) (<52,0,Q>, Q) (<58,0,A>, A) (<58,0,B>, ?) (<58,0,C>, ?) (<58,0,F>, ?) (<58,0,G>, ?) (<58,0,H>, H) (<58,0,I>, 1) (<58,0,J>, J) (<58,0,K>, K) (<58,0,N>, 1) (<58,0,O>, 0) (<58,0,P>, P) (<58,0,Q>, Q) (<59,0,A>, A) (<59,0,B>, ?) (<59,0,C>, ?) (<59,0,F>, ?) (<59,0,G>, ?) (<59,0,H>, H) (<59,0,I>, 2) (<59,0,J>, J) (<59,0,K>, K) (<59,0,N>, 1) (<59,0,O>, 0) (<59,0,P>, P) (<59,0,Q>, Q) (<64,0,A>, 1 + A) (<64,0,B>, ?) (<64,0,C>, ?) (<64,0,F>, ?) (<64,0,G>, ?) (<64,0,H>, H) (<64,0,I>, ?) (<64,0,J>, J) (<64,0,K>, 7 + 3*J + 5*K) (<64,0,N>, ?) (<64,0,O>, ?) (<64,0,P>, P) (<64,0,Q>, 1) (<66,0,A>, 1) (<66,0,B>, ?) (<66,0,C>, ?) (<66,0,F>, ?) (<66,0,G>, ?) (<66,0,H>, H) (<66,0,I>, I) (<66,0,J>, J) (<66,0,K>, K) (<66,0,N>, N) (<66,0,O>, O) (<66,0,P>, P) (<66,0,Q>, Q) (<68,0,A>, 1 + A) (<68,0,B>, ?) (<68,0,C>, ?) (<68,0,F>, ?) (<68,0,G>, ?) (<68,0,H>, H) (<68,0,I>, 0) (<68,0,J>, J) (<68,0,K>, 7 + 3*J + 5*K) (<68,0,N>, 1) (<68,0,O>, 0) (<68,0,P>, P) (<68,0,Q>, ?) (<69,0,A>, 1 + A) (<69,0,B>, ?) (<69,0,C>, ?) (<69,0,F>, ?) (<69,0,G>, ?) (<69,0,H>, H) (<69,0,I>, 1) (<69,0,J>, J) (<69,0,K>, 7 + 3*J + 5*K) (<69,0,N>, 1) (<69,0,O>, 0) (<69,0,P>, P) (<69,0,Q>, ?) (<70,0,A>, 1 + A) (<70,0,B>, ?) (<70,0,C>, ?) (<70,0,F>, ?) (<70,0,G>, ?) (<70,0,H>, H) (<70,0,I>, ?) (<70,0,J>, J) (<70,0,K>, 7 + 3*J + 5*K) (<70,0,N>, ?) (<70,0,O>, ?) (<70,0,P>, P) (<70,0,Q>, ?) (<75,0,A>, A) (<75,0,B>, ?) (<75,0,C>, ?) (<75,0,F>, ?) (<75,0,G>, ?) (<75,0,H>, H) (<75,0,I>, I) (<75,0,J>, J) (<75,0,K>, K) (<75,0,N>, N) (<75,0,O>, O) (<75,0,P>, P) (<75,0,Q>, Q) (<76,0,A>, A) (<76,0,B>, ?) (<76,0,C>, ?) (<76,0,F>, ?) (<76,0,G>, ?) (<76,0,H>, H) (<76,0,I>, I) (<76,0,J>, J) (<76,0,K>, K) (<76,0,N>, 1) (<76,0,O>, 0) (<76,0,P>, P) (<76,0,Q>, Q) (<77,0,A>, A) (<77,0,B>, ?) (<77,0,C>, ?) (<77,0,F>, ?) (<77,0,G>, ?) (<77,0,H>, H) (<77,0,I>, 1 + I) (<77,0,J>, J) (<77,0,K>, K) (<77,0,N>, 1) (<77,0,O>, 0) (<77,0,P>, P) (<77,0,Q>, Q) + Applied Processor: KnowledgePropagation + Details: The problem is already solved. WORST_CASE(?,O(n^1))