YES * Step 1: UnsatPaths YES + Considered Problem: Rules: 0. evalspeedpldi4start(A,B) -> evalspeedpldi4entryin(A,B) True (1,1) 1. evalspeedpldi4entryin(A,B) -> evalspeedpldi4returnin(A,B) [0 >= A] (?,1) 2. evalspeedpldi4entryin(A,B) -> evalspeedpldi4returnin(A,B) [A >= B] (?,1) 3. evalspeedpldi4entryin(A,B) -> evalspeedpldi4bb5in(A,B) [A >= 1 && B >= 1 + A] (?,1) 4. evalspeedpldi4bb5in(A,B) -> evalspeedpldi4bb2in(A,B) [-1 + A >= 0 && B >= 1] (?,1) 5. evalspeedpldi4bb5in(A,B) -> evalspeedpldi4returnin(A,B) [-1 + A >= 0 && 0 >= B] (?,1) 6. evalspeedpldi4bb2in(A,B) -> evalspeedpldi4bb3in(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && A >= 1 + B] (?,1) 7. evalspeedpldi4bb2in(A,B) -> evalspeedpldi4bb4in(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= A] (?,1) 8. evalspeedpldi4bb3in(A,B) -> evalspeedpldi4bb5in(A,-1 + B) [-1 + A + -1*B >= 0 && -1 + B >= 0 && -3 + A + B >= 0 && -2 + A >= 0] (?,1) 9. evalspeedpldi4bb4in(A,B) -> evalspeedpldi4bb5in(A,-1*A + B) [-1 + B >= 0 && -2 + A + B >= 0 && -1*A + B >= 0 && -1 + A >= 0] (?,1) 10. evalspeedpldi4returnin(A,B) -> evalspeedpldi4stop(A,B) True (?,1) Signature: {(evalspeedpldi4bb2in,2) ;(evalspeedpldi4bb3in,2) ;(evalspeedpldi4bb4in,2) ;(evalspeedpldi4bb5in,2) ;(evalspeedpldi4entryin,2) ;(evalspeedpldi4returnin,2) ;(evalspeedpldi4start,2) ;(evalspeedpldi4stop,2)} Flow Graph: [0->{1,2,3},1->{10},2->{10},3->{4,5},4->{6,7},5->{10},6->{8},7->{9},8->{4,5},9->{4,5},10->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(3,5)] * Step 2: FromIts YES + Considered Problem: Rules: 0. evalspeedpldi4start(A,B) -> evalspeedpldi4entryin(A,B) True (1,1) 1. evalspeedpldi4entryin(A,B) -> evalspeedpldi4returnin(A,B) [0 >= A] (?,1) 2. evalspeedpldi4entryin(A,B) -> evalspeedpldi4returnin(A,B) [A >= B] (?,1) 3. evalspeedpldi4entryin(A,B) -> evalspeedpldi4bb5in(A,B) [A >= 1 && B >= 1 + A] (?,1) 4. evalspeedpldi4bb5in(A,B) -> evalspeedpldi4bb2in(A,B) [-1 + A >= 0 && B >= 1] (?,1) 5. evalspeedpldi4bb5in(A,B) -> evalspeedpldi4returnin(A,B) [-1 + A >= 0 && 0 >= B] (?,1) 6. evalspeedpldi4bb2in(A,B) -> evalspeedpldi4bb3in(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && A >= 1 + B] (?,1) 7. evalspeedpldi4bb2in(A,B) -> evalspeedpldi4bb4in(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= A] (?,1) 8. evalspeedpldi4bb3in(A,B) -> evalspeedpldi4bb5in(A,-1 + B) [-1 + A + -1*B >= 0 && -1 + B >= 0 && -3 + A + B >= 0 && -2 + A >= 0] (?,1) 9. evalspeedpldi4bb4in(A,B) -> evalspeedpldi4bb5in(A,-1*A + B) [-1 + B >= 0 && -2 + A + B >= 0 && -1*A + B >= 0 && -1 + A >= 0] (?,1) 10. evalspeedpldi4returnin(A,B) -> evalspeedpldi4stop(A,B) True (?,1) Signature: {(evalspeedpldi4bb2in,2) ;(evalspeedpldi4bb3in,2) ;(evalspeedpldi4bb4in,2) ;(evalspeedpldi4bb5in,2) ;(evalspeedpldi4entryin,2) ;(evalspeedpldi4returnin,2) ;(evalspeedpldi4start,2) ;(evalspeedpldi4stop,2)} Flow Graph: [0->{1,2,3},1->{10},2->{10},3->{4},4->{6,7},5->{10},6->{8},7->{9},8->{4,5},9->{4,5},10->{}] + Applied Processor: FromIts + Details: () * Step 3: Decompose YES + Considered Problem: Rules: evalspeedpldi4start(A,B) -> evalspeedpldi4entryin(A,B) True evalspeedpldi4entryin(A,B) -> evalspeedpldi4returnin(A,B) [0 >= A] evalspeedpldi4entryin(A,B) -> evalspeedpldi4returnin(A,B) [A >= B] evalspeedpldi4entryin(A,B) -> evalspeedpldi4bb5in(A,B) [A >= 1 && B >= 1 + A] evalspeedpldi4bb5in(A,B) -> evalspeedpldi4bb2in(A,B) [-1 + A >= 0 && B >= 1] evalspeedpldi4bb5in(A,B) -> evalspeedpldi4returnin(A,B) [-1 + A >= 0 && 0 >= B] evalspeedpldi4bb2in(A,B) -> evalspeedpldi4bb3in(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && A >= 1 + B] evalspeedpldi4bb2in(A,B) -> evalspeedpldi4bb4in(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= A] evalspeedpldi4bb3in(A,B) -> evalspeedpldi4bb5in(A,-1 + B) [-1 + A + -1*B >= 0 && -1 + B >= 0 && -3 + A + B >= 0 && -2 + A >= 0] evalspeedpldi4bb4in(A,B) -> evalspeedpldi4bb5in(A,-1*A + B) [-1 + B >= 0 && -2 + A + B >= 0 && -1*A + B >= 0 && -1 + A >= 0] evalspeedpldi4returnin(A,B) -> evalspeedpldi4stop(A,B) True Signature: {(evalspeedpldi4bb2in,2) ;(evalspeedpldi4bb3in,2) ;(evalspeedpldi4bb4in,2) ;(evalspeedpldi4bb5in,2) ;(evalspeedpldi4entryin,2) ;(evalspeedpldi4returnin,2) ;(evalspeedpldi4start,2) ;(evalspeedpldi4stop,2)} Rule Graph: [0->{1,2,3},1->{10},2->{10},3->{4},4->{6,7},5->{10},6->{8},7->{9},8->{4,5},9->{4,5},10->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10] | `- p:[4,8,6,9,7] c: [7,9] | `- p:[4,8,6] c: [4,6,8] * Step 4: CloseWith YES + Considered Problem: (Rules: evalspeedpldi4start(A,B) -> evalspeedpldi4entryin(A,B) True evalspeedpldi4entryin(A,B) -> evalspeedpldi4returnin(A,B) [0 >= A] evalspeedpldi4entryin(A,B) -> evalspeedpldi4returnin(A,B) [A >= B] evalspeedpldi4entryin(A,B) -> evalspeedpldi4bb5in(A,B) [A >= 1 && B >= 1 + A] evalspeedpldi4bb5in(A,B) -> evalspeedpldi4bb2in(A,B) [-1 + A >= 0 && B >= 1] evalspeedpldi4bb5in(A,B) -> evalspeedpldi4returnin(A,B) [-1 + A >= 0 && 0 >= B] evalspeedpldi4bb2in(A,B) -> evalspeedpldi4bb3in(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && A >= 1 + B] evalspeedpldi4bb2in(A,B) -> evalspeedpldi4bb4in(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= A] evalspeedpldi4bb3in(A,B) -> evalspeedpldi4bb5in(A,-1 + B) [-1 + A + -1*B >= 0 && -1 + B >= 0 && -3 + A + B >= 0 && -2 + A >= 0] evalspeedpldi4bb4in(A,B) -> evalspeedpldi4bb5in(A,-1*A + B) [-1 + B >= 0 && -2 + A + B >= 0 && -1*A + B >= 0 && -1 + A >= 0] evalspeedpldi4returnin(A,B) -> evalspeedpldi4stop(A,B) True Signature: {(evalspeedpldi4bb2in,2) ;(evalspeedpldi4bb3in,2) ;(evalspeedpldi4bb4in,2) ;(evalspeedpldi4bb5in,2) ;(evalspeedpldi4entryin,2) ;(evalspeedpldi4returnin,2) ;(evalspeedpldi4start,2) ;(evalspeedpldi4stop,2)} Rule Graph: [0->{1,2,3},1->{10},2->{10},3->{4},4->{6,7},5->{10},6->{8},7->{9},8->{4,5},9->{4,5},10->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10] | `- p:[4,8,6,9,7] c: [7,9] | `- p:[4,8,6] c: [4,6,8]) + Applied Processor: CloseWith True + Details: () YES