YES * Step 1: UnsatPaths YES + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f17(100,0,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (1,1) 1. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f17(100,10,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (1,1) 2. f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f20(A,B,B,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [0 >= 1 + B] (?,1) 3. f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f20(A,B,B,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [B >= 1] (?,1) 4. f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,0,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [B = 0] (?,1) 5. f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f26(A,B,C,0,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 6. f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f26(A,B,C,10,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 7. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,0,0,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [D = 0] (?,1) 8. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f29(A,B,C,D,D,0,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [0 >= 1 + D] (?,1) 9. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f29(A,B,C,D,D,0,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [D >= 1] (?,1) 10. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f57(A,B,C,D,E,F,200,0,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 11. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f57(A,B,C,D,E,F,200,10,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 12. f57(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f60(A,B,C,D,E,F,G,H,H,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [0 >= 1 + H] (?,1) 13. f57(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f60(A,B,C,D,E,F,G,H,H,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [H >= 1] (?,1) 14. f57(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,0,0,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [H = 0] (?,1) 15. f60(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f66(A,B,C,D,E,F,G,H,I,0,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 16. f60(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f66(A,B,C,D,E,F,G,H,I,10,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 17. f66(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,H,I,0,0,L,M,N,O,P,Q,R,S,T,U,V,W,X) [J = 0] (?,1) 18. f66(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f69(A,B,C,D,E,F,G,H,I,J,J,0,M,N,O,P,Q,R,S,T,U,V,W,X) [0 >= 1 + J] (?,1) 19. f66(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f69(A,B,C,D,E,F,G,H,I,J,J,0,M,N,O,P,Q,R,S,T,U,V,W,X) [J >= 1] (?,1) 20. f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f97(A,B,C,D,E,F,G,H,I,J,K,L,50,0,O,P,Q,R,S,T,U,V,W,X) True (?,1) 21. f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f97(A,B,C,D,E,F,G,H,I,J,K,L,50,10,O,P,Q,R,S,T,U,V,W,X) True (?,1) 22. f97(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,N,P,Q,R,S,T,U,V,W,X) [0 >= 1 + N] (?,1) 23. f97(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,N,P,Q,R,S,T,U,V,W,X) [N >= 1] (?,1) 24. f97(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,0,0,P,Q,R,S,T,U,V,W,X) [N = 0] (?,1) 25. f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,0,Q,R,S,T,U,V,W,X) True (?,1) 26. f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,10,Q,R,S,T,U,V,W,X) True (?,1) 27. f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,0,0,R,S,T,U,V,W,X) [P = 0] (?,1) 28. f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,P,0,S,T,U,V,W,X) [0 >= 1 + P] (?,1) 29. f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,P,0,S,T,U,V,W,X) [P >= 1] (?,1) 30. f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,20,0,U,V,W,X) True (?,1) 31. f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,20,10,U,V,W,X) True (?,1) 32. f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,T,V,W,X) [0 >= 1 + T] (?,1) 33. f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,T,V,W,X) [T >= 1] (?,1) 34. f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,0,W,X) True (?,1) 35. f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,10,W,X) True (?,1) 36. f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,V,0) [0 >= 1 + V] (?,1) 37. f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,V,0) [V >= 1] (?,1) 38. f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,0,0,V,W,X) [T = 0] (?,1) 39. f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,0,0,X) [V = 0] (?,1) 40. f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,1 + X) [S >= 1 + X] (?,1) 41. f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [X >= S] (?,1) 42. f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,1 + R,S,T,U,V,W,X) [M >= 1 + R] (?,1) 43. f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [R >= M] (?,1) 44. f69(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f69(A,B,C,D,E,F,G,H,I,J,K,1 + L,M,N,O,P,Q,R,S,T,U,V,W,X) [G >= 1 + L] (?,1) 45. f69(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [L >= G] (?,1) 46. f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f29(A,B,C,D,E,1 + F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [A >= 1 + F] (?,1) 47. f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [F >= A] (?,1) Signature: {(f0,24) ;(f100,24) ;(f106,24) ;(f109,24) ;(f125,24) ;(f137,24) ;(f140,24) ;(f146,24) ;(f149,24) ;(f166,24) ;(f17,24) ;(f20,24) ;(f26,24) ;(f29,24) ;(f45,24) ;(f57,24) ;(f60,24) ;(f66,24) ;(f69,24) ;(f85,24) ;(f97,24)} Flow Graph: [0->{2,3,4},1->{2,3,4},2->{5,6},3->{5,6},4->{10,11},5->{7,8,9},6->{7,8,9},7->{10,11},8->{46,47},9->{46,47} ,10->{12,13,14},11->{12,13,14},12->{15,16},13->{15,16},14->{20,21},15->{17,18,19},16->{17,18,19},17->{20,21} ,18->{44,45},19->{44,45},20->{22,23,24},21->{22,23,24},22->{25,26},23->{25,26},24->{30,31},25->{27,28,29} ,26->{27,28,29},27->{30,31},28->{42,43},29->{42,43},30->{32,33,38},31->{32,33,38},32->{34,35},33->{34,35} ,34->{36,37,39},35->{36,37,39},36->{40,41},37->{40,41},38->{},39->{},40->{40,41},41->{},42->{42,43},43->{30 ,31},44->{44,45},45->{20,21},46->{46,47},47->{10,11}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,2) ,(0,3) ,(1,2) ,(1,4) ,(5,8) ,(5,9) ,(6,7) ,(6,8) ,(10,12) ,(10,13) ,(11,12) ,(11,14) ,(15,18) ,(15,19) ,(16,17) ,(16,18) ,(20,22) ,(20,23) ,(21,22) ,(21,24) ,(25,28) ,(25,29) ,(26,27) ,(26,28) ,(30,32) ,(30,33) ,(31,32) ,(31,38) ,(34,36) ,(34,37) ,(35,36) ,(35,39)] * Step 2: UnreachableRules YES + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f17(100,0,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (1,1) 1. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f17(100,10,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (1,1) 2. f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f20(A,B,B,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [0 >= 1 + B] (?,1) 3. f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f20(A,B,B,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [B >= 1] (?,1) 4. f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,0,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [B = 0] (?,1) 5. f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f26(A,B,C,0,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 6. f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f26(A,B,C,10,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 7. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,0,0,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [D = 0] (?,1) 8. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f29(A,B,C,D,D,0,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [0 >= 1 + D] (?,1) 9. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f29(A,B,C,D,D,0,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [D >= 1] (?,1) 10. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f57(A,B,C,D,E,F,200,0,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 11. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f57(A,B,C,D,E,F,200,10,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 12. f57(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f60(A,B,C,D,E,F,G,H,H,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [0 >= 1 + H] (?,1) 13. f57(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f60(A,B,C,D,E,F,G,H,H,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [H >= 1] (?,1) 14. f57(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,0,0,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [H = 0] (?,1) 15. f60(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f66(A,B,C,D,E,F,G,H,I,0,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 16. f60(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f66(A,B,C,D,E,F,G,H,I,10,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 17. f66(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,H,I,0,0,L,M,N,O,P,Q,R,S,T,U,V,W,X) [J = 0] (?,1) 18. f66(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f69(A,B,C,D,E,F,G,H,I,J,J,0,M,N,O,P,Q,R,S,T,U,V,W,X) [0 >= 1 + J] (?,1) 19. f66(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f69(A,B,C,D,E,F,G,H,I,J,J,0,M,N,O,P,Q,R,S,T,U,V,W,X) [J >= 1] (?,1) 20. f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f97(A,B,C,D,E,F,G,H,I,J,K,L,50,0,O,P,Q,R,S,T,U,V,W,X) True (?,1) 21. f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f97(A,B,C,D,E,F,G,H,I,J,K,L,50,10,O,P,Q,R,S,T,U,V,W,X) True (?,1) 22. f97(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,N,P,Q,R,S,T,U,V,W,X) [0 >= 1 + N] (?,1) 23. f97(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,N,P,Q,R,S,T,U,V,W,X) [N >= 1] (?,1) 24. f97(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,0,0,P,Q,R,S,T,U,V,W,X) [N = 0] (?,1) 25. f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,0,Q,R,S,T,U,V,W,X) True (?,1) 26. f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,10,Q,R,S,T,U,V,W,X) True (?,1) 27. f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,0,0,R,S,T,U,V,W,X) [P = 0] (?,1) 28. f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,P,0,S,T,U,V,W,X) [0 >= 1 + P] (?,1) 29. f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,P,0,S,T,U,V,W,X) [P >= 1] (?,1) 30. f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,20,0,U,V,W,X) True (?,1) 31. f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,20,10,U,V,W,X) True (?,1) 32. f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,T,V,W,X) [0 >= 1 + T] (?,1) 33. f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,T,V,W,X) [T >= 1] (?,1) 34. f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,0,W,X) True (?,1) 35. f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,10,W,X) True (?,1) 36. f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,V,0) [0 >= 1 + V] (?,1) 37. f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,V,0) [V >= 1] (?,1) 38. f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,0,0,V,W,X) [T = 0] (?,1) 39. f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,0,0,X) [V = 0] (?,1) 40. f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,1 + X) [S >= 1 + X] (?,1) 41. f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [X >= S] (?,1) 42. f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,1 + R,S,T,U,V,W,X) [M >= 1 + R] (?,1) 43. f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [R >= M] (?,1) 44. f69(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f69(A,B,C,D,E,F,G,H,I,J,K,1 + L,M,N,O,P,Q,R,S,T,U,V,W,X) [G >= 1 + L] (?,1) 45. f69(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [L >= G] (?,1) 46. f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f29(A,B,C,D,E,1 + F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [A >= 1 + F] (?,1) 47. f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [F >= A] (?,1) Signature: {(f0,24) ;(f100,24) ;(f106,24) ;(f109,24) ;(f125,24) ;(f137,24) ;(f140,24) ;(f146,24) ;(f149,24) ;(f166,24) ;(f17,24) ;(f20,24) ;(f26,24) ;(f29,24) ;(f45,24) ;(f57,24) ;(f60,24) ;(f66,24) ;(f69,24) ;(f85,24) ;(f97,24)} Flow Graph: [0->{4},1->{3},2->{5,6},3->{5,6},4->{10,11},5->{7},6->{9},7->{10,11},8->{46,47},9->{46,47},10->{14} ,11->{13},12->{15,16},13->{15,16},14->{20,21},15->{17},16->{19},17->{20,21},18->{44,45},19->{44,45},20->{24} ,21->{23},22->{25,26},23->{25,26},24->{30,31},25->{27},26->{29},27->{30,31},28->{42,43},29->{42,43},30->{38} ,31->{33},32->{34,35},33->{34,35},34->{39},35->{37},36->{40,41},37->{40,41},38->{},39->{},40->{40,41},41->{} ,42->{42,43},43->{30,31},44->{44,45},45->{20,21},46->{46,47},47->{10,11}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [2,8,12,18,22,28,32,36] * Step 3: FromIts YES + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f17(100,0,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (1,1) 1. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f17(100,10,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (1,1) 3. f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f20(A,B,B,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [B >= 1] (?,1) 4. f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,0,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [B = 0] (?,1) 5. f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f26(A,B,C,0,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 6. f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f26(A,B,C,10,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 7. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,0,0,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [D = 0] (?,1) 9. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f29(A,B,C,D,D,0,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [D >= 1] (?,1) 10. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f57(A,B,C,D,E,F,200,0,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 11. f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f57(A,B,C,D,E,F,200,10,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 13. f57(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f60(A,B,C,D,E,F,G,H,H,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [H >= 1] (?,1) 14. f57(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,0,0,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [H = 0] (?,1) 15. f60(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f66(A,B,C,D,E,F,G,H,I,0,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 16. f60(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f66(A,B,C,D,E,F,G,H,I,10,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) True (?,1) 17. f66(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,H,I,0,0,L,M,N,O,P,Q,R,S,T,U,V,W,X) [J = 0] (?,1) 19. f66(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f69(A,B,C,D,E,F,G,H,I,J,J,0,M,N,O,P,Q,R,S,T,U,V,W,X) [J >= 1] (?,1) 20. f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f97(A,B,C,D,E,F,G,H,I,J,K,L,50,0,O,P,Q,R,S,T,U,V,W,X) True (?,1) 21. f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f97(A,B,C,D,E,F,G,H,I,J,K,L,50,10,O,P,Q,R,S,T,U,V,W,X) True (?,1) 23. f97(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,N,P,Q,R,S,T,U,V,W,X) [N >= 1] (?,1) 24. f97(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,0,0,P,Q,R,S,T,U,V,W,X) [N = 0] (?,1) 25. f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,0,Q,R,S,T,U,V,W,X) True (?,1) 26. f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,10,Q,R,S,T,U,V,W,X) True (?,1) 27. f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,0,0,R,S,T,U,V,W,X) [P = 0] (?,1) 29. f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,P,0,S,T,U,V,W,X) [P >= 1] (?,1) 30. f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,20,0,U,V,W,X) True (?,1) 31. f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,20,10,U,V,W,X) True (?,1) 33. f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,T,V,W,X) [T >= 1] (?,1) 34. f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,0,W,X) True (?,1) 35. f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,10,W,X) True (?,1) 37. f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,V,0) [V >= 1] (?,1) 38. f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,0,0,V,W,X) [T = 0] (?,1) 39. f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,0,0,X) [V = 0] (?,1) 40. f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,1 + X) [S >= 1 + X] (?,1) 41. f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [X >= S] (?,1) 42. f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,1 + R,S,T,U,V,W,X) [M >= 1 + R] (?,1) 43. f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [R >= M] (?,1) 44. f69(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f69(A,B,C,D,E,F,G,H,I,J,K,1 + L,M,N,O,P,Q,R,S,T,U,V,W,X) [G >= 1 + L] (?,1) 45. f69(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [L >= G] (?,1) 46. f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f29(A,B,C,D,E,1 + F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [A >= 1 + F] (?,1) 47. f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) [F >= A] (?,1) Signature: {(f0,24) ;(f100,24) ;(f106,24) ;(f109,24) ;(f125,24) ;(f137,24) ;(f140,24) ;(f146,24) ;(f149,24) ;(f166,24) ;(f17,24) ;(f20,24) ;(f26,24) ;(f29,24) ;(f45,24) ;(f57,24) ;(f60,24) ;(f66,24) ;(f69,24) ;(f85,24) ;(f97,24)} Flow Graph: [0->{4},1->{3},3->{5,6},4->{10,11},5->{7},6->{9},7->{10,11},9->{46,47},10->{14},11->{13},13->{15,16} ,14->{20,21},15->{17},16->{19},17->{20,21},19->{44,45},20->{24},21->{23},23->{25,26},24->{30,31},25->{27} ,26->{29},27->{30,31},29->{42,43},30->{38},31->{33},33->{34,35},34->{39},35->{37},37->{40,41},38->{},39->{} ,40->{40,41},41->{},42->{42,43},43->{30,31},44->{44,45},45->{20,21},46->{46,47},47->{10,11}] + Applied Processor: FromIts + Details: () * Step 4: Decompose YES + Considered Problem: Rules: f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f17(100,0,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U ,V,W ,X) True f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f17(100,10,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V ,W ,X) True f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f20(A,B,B,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [B >= 1] f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,0,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [B = 0] f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f26(A,B,C,0,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) True f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f26(A,B,C,10,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) True f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,0,0,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [D = 0] f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f29(A,B,C,D,D,0,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [D >= 1] f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f57(A,B,C,D,E,F,200,0,I,J,K,L,M,N,O,P,Q,R,S,T,U,V ,W ,X) True f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f57(A,B,C,D,E,F,200,10,I,J,K,L,M,N,O,P,Q,R,S,T,U,V ,W ,X) True f57(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f60(A,B,C,D,E,F,G,H,H,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [H >= 1] f57(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,0,0,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [H = 0] f60(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f66(A,B,C,D,E,F,G,H,I,0,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) True f60(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f66(A,B,C,D,E,F,G,H,I,10,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) True f66(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,H,I,0,0,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [J = 0] f66(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f69(A,B,C,D,E,F,G,H,I,J,J,0,M,N,O,P,Q,R,S,T,U,V,W ,X) [J >= 1] f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f97(A,B,C,D,E,F,G,H,I,J,K,L,50,0,O,P,Q,R,S,T,U,V,W ,X) True f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f97(A,B,C,D,E,F,G,H,I,J,K,L,50,10,O,P,Q,R,S,T,U,V ,W ,X) True f97(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,N,P,Q,R,S,T,U,V,W ,X) [N >= 1] f97(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,0,0,P,Q,R,S,T,U,V,W ,X) [N = 0] f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,0,Q,R,S,T,U,V,W ,X) True f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,10,Q,R,S,T,U,V ,W ,X) True f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,0,0,R,S,T,U,V,W ,X) [P = 0] f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,P,0,S,T,U,V,W ,X) [P >= 1] f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,20,0,U,V ,W ,X) True f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,20,10,U,V ,W ,X) True f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,T,V,W ,X) [T >= 1] f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,0,W ,X) True f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,10 ,W ,X) True f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,V ,0) [V >= 1] f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,0,0,V,W ,X) [T = 0] f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,0,0 ,X) [V = 0] f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,1 + X) [S >= 1 + X] f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [X >= S] f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,1 + R,S,T,U ,V,W ,X) [M >= 1 + R] f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [R >= M] f69(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f69(A,B,C,D,E,F,G,H,I,J,K,1 + L,M,N,O,P,Q,R,S,T,U ,V,W ,X) [G >= 1 + L] f69(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [L >= G] f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f29(A,B,C,D,E,1 + F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U ,V,W ,X) [A >= 1 + F] f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [F >= A] Signature: {(f0,24) ;(f100,24) ;(f106,24) ;(f109,24) ;(f125,24) ;(f137,24) ;(f140,24) ;(f146,24) ;(f149,24) ;(f166,24) ;(f17,24) ;(f20,24) ;(f26,24) ;(f29,24) ;(f45,24) ;(f57,24) ;(f60,24) ;(f66,24) ;(f69,24) ;(f85,24) ;(f97,24)} Rule Graph: [0->{4},1->{3},3->{5,6},4->{10,11},5->{7},6->{9},7->{10,11},9->{46,47},10->{14},11->{13},13->{15,16} ,14->{20,21},15->{17},16->{19},17->{20,21},19->{44,45},20->{24},21->{23},23->{25,26},24->{30,31},25->{27} ,26->{29},27->{30,31},29->{42,43},30->{38},31->{33},33->{34,35},34->{39},35->{37},37->{40,41},38->{},39->{} ,40->{40,41},41->{},42->{42,43},43->{30,31},44->{44,45},45->{20,21},46->{46,47},47->{10,11}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,3,4,5,6,7,9,10,11,13,14,15,16,17,19,20,21,23,24,25,26,27,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47] | +- p:[46] c: [46] | +- p:[44] c: [44] | +- p:[42] c: [42] | `- p:[40] c: [40] * Step 5: CloseWith YES + Considered Problem: (Rules: f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f17(100,0,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U ,V,W ,X) True f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f17(100,10,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V ,W ,X) True f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f20(A,B,B,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [B >= 1] f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,0,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [B = 0] f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f26(A,B,C,0,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) True f20(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f26(A,B,C,10,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) True f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,0,0,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [D = 0] f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f29(A,B,C,D,D,0,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [D >= 1] f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f57(A,B,C,D,E,F,200,0,I,J,K,L,M,N,O,P,Q,R,S,T,U,V ,W ,X) True f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f57(A,B,C,D,E,F,200,10,I,J,K,L,M,N,O,P,Q,R,S,T,U,V ,W ,X) True f57(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f60(A,B,C,D,E,F,G,H,H,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [H >= 1] f57(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,0,0,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [H = 0] f60(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f66(A,B,C,D,E,F,G,H,I,0,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) True f60(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f66(A,B,C,D,E,F,G,H,I,10,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) True f66(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,H,I,0,0,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [J = 0] f66(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f69(A,B,C,D,E,F,G,H,I,J,J,0,M,N,O,P,Q,R,S,T,U,V,W ,X) [J >= 1] f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f97(A,B,C,D,E,F,G,H,I,J,K,L,50,0,O,P,Q,R,S,T,U,V,W ,X) True f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f97(A,B,C,D,E,F,G,H,I,J,K,L,50,10,O,P,Q,R,S,T,U,V ,W ,X) True f97(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,N,P,Q,R,S,T,U,V,W ,X) [N >= 1] f97(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,0,0,P,Q,R,S,T,U,V,W ,X) [N = 0] f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,0,Q,R,S,T,U,V,W ,X) True f100(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,10,Q,R,S,T,U,V ,W ,X) True f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,0,0,R,S,T,U,V,W ,X) [P = 0] f106(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,P,0,S,T,U,V,W ,X) [P >= 1] f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,20,0,U,V ,W ,X) True f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,20,10,U,V ,W ,X) True f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,T,V,W ,X) [T >= 1] f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,0,W ,X) True f140(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,10 ,W ,X) True f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,V ,0) [V >= 1] f137(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,0,0,V,W ,X) [T = 0] f146(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,0,0 ,X) [V = 0] f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,1 + X) [S >= 1 + X] f149(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f166(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [X >= S] f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,1 + R,S,T,U ,V,W ,X) [M >= 1 + R] f109(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f125(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [R >= M] f69(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f69(A,B,C,D,E,F,G,H,I,J,K,1 + L,M,N,O,P,Q,R,S,T,U ,V,W ,X) [G >= 1 + L] f69(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f85(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [L >= G] f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f29(A,B,C,D,E,1 + F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U ,V,W ,X) [A >= 1 + F] f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X) -> f45(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W ,X) [F >= A] Signature: {(f0,24) ;(f100,24) ;(f106,24) ;(f109,24) ;(f125,24) ;(f137,24) ;(f140,24) ;(f146,24) ;(f149,24) ;(f166,24) ;(f17,24) ;(f20,24) ;(f26,24) ;(f29,24) ;(f45,24) ;(f57,24) ;(f60,24) ;(f66,24) ;(f69,24) ;(f85,24) ;(f97,24)} Rule Graph: [0->{4},1->{3},3->{5,6},4->{10,11},5->{7},6->{9},7->{10,11},9->{46,47},10->{14},11->{13},13->{15,16} ,14->{20,21},15->{17},16->{19},17->{20,21},19->{44,45},20->{24},21->{23},23->{25,26},24->{30,31},25->{27} ,26->{29},27->{30,31},29->{42,43},30->{38},31->{33},33->{34,35},34->{39},35->{37},37->{40,41},38->{},39->{} ,40->{40,41},41->{},42->{42,43},43->{30,31},44->{44,45},45->{20,21},46->{46,47},47->{10,11}] ,We construct a looptree: P: [0,1,3,4,5,6,7,9,10,11,13,14,15,16,17,19,20,21,23,24,25,26,27,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47] | +- p:[46] c: [46] | +- p:[44] c: [44] | +- p:[42] c: [42] | `- p:[40] c: [40]) + Applied Processor: CloseWith True + Details: () YES