MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. evalfstart(A,B) -> evalfentryin(A,B) True (1,1) 1. evalfentryin(A,B) -> evalfbb3in(B,A) [A >= 1 && B >= 1 + A] (?,1) 2. evalfbb3in(A,B) -> evalfreturnin(A,B) [0 >= A] (?,1) 3. evalfbb3in(A,B) -> evalfbb4in(A,B) [A >= 1] (?,1) 4. evalfbb4in(A,B) -> evalfbbin(A,B) [0 >= 1 + C] (?,1) 5. evalfbb4in(A,B) -> evalfbbin(A,B) [C >= 1] (?,1) 6. evalfbb4in(A,B) -> evalfreturnin(A,B) True (?,1) 7. evalfbbin(A,B) -> evalfbb1in(A,B) [B >= 1 + A] (?,1) 8. evalfbbin(A,B) -> evalfbb2in(A,B) [A >= B] (?,1) 9. evalfbb1in(A,B) -> evalfbb3in(1 + A,B) True (?,1) 10. evalfbb2in(A,B) -> evalfbb3in(A + -1*B,B) True (?,1) 11. evalfreturnin(A,B) -> evalfstop(A,B) True (?,1) Signature: {(evalfbb1in,2) ;(evalfbb2in,2) ;(evalfbb3in,2) ;(evalfbb4in,2) ;(evalfbbin,2) ;(evalfentryin,2) ;(evalfreturnin,2) ;(evalfstart,2) ;(evalfstop,2)} Flow Graph: [0->{1},1->{2,3},2->{11},3->{4,5,6},4->{7,8},5->{7,8},6->{11},7->{9},8->{10},9->{2,3},10->{2,3},11->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,2)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. evalfstart(A,B) -> evalfentryin(A,B) True (1,1) 1. evalfentryin(A,B) -> evalfbb3in(B,A) [A >= 1 && B >= 1 + A] (?,1) 2. evalfbb3in(A,B) -> evalfreturnin(A,B) [0 >= A] (?,1) 3. evalfbb3in(A,B) -> evalfbb4in(A,B) [A >= 1] (?,1) 4. evalfbb4in(A,B) -> evalfbbin(A,B) [0 >= 1 + C] (?,1) 5. evalfbb4in(A,B) -> evalfbbin(A,B) [C >= 1] (?,1) 6. evalfbb4in(A,B) -> evalfreturnin(A,B) True (?,1) 7. evalfbbin(A,B) -> evalfbb1in(A,B) [B >= 1 + A] (?,1) 8. evalfbbin(A,B) -> evalfbb2in(A,B) [A >= B] (?,1) 9. evalfbb1in(A,B) -> evalfbb3in(1 + A,B) True (?,1) 10. evalfbb2in(A,B) -> evalfbb3in(A + -1*B,B) True (?,1) 11. evalfreturnin(A,B) -> evalfstop(A,B) True (?,1) Signature: {(evalfbb1in,2) ;(evalfbb2in,2) ;(evalfbb3in,2) ;(evalfbb4in,2) ;(evalfbbin,2) ;(evalfentryin,2) ;(evalfreturnin,2) ;(evalfstart,2) ;(evalfstop,2)} Flow Graph: [0->{1},1->{3},2->{11},3->{4,5,6},4->{7,8},5->{7,8},6->{11},7->{9},8->{10},9->{2,3},10->{2,3},11->{}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: evalfstart(A,B) -> evalfentryin(A,B) True evalfentryin(A,B) -> evalfbb3in(B,A) [A >= 1 && B >= 1 + A] evalfbb3in(A,B) -> evalfreturnin(A,B) [0 >= A] evalfbb3in(A,B) -> evalfbb4in(A,B) [A >= 1] evalfbb4in(A,B) -> evalfbbin(A,B) [0 >= 1 + C] evalfbb4in(A,B) -> evalfbbin(A,B) [C >= 1] evalfbb4in(A,B) -> evalfreturnin(A,B) True evalfbbin(A,B) -> evalfbb1in(A,B) [B >= 1 + A] evalfbbin(A,B) -> evalfbb2in(A,B) [A >= B] evalfbb1in(A,B) -> evalfbb3in(1 + A,B) True evalfbb2in(A,B) -> evalfbb3in(A + -1*B,B) True evalfreturnin(A,B) -> evalfstop(A,B) True Signature: {(evalfbb1in,2) ;(evalfbb2in,2) ;(evalfbb3in,2) ;(evalfbb4in,2) ;(evalfbbin,2) ;(evalfentryin,2) ;(evalfreturnin,2) ;(evalfstart,2) ;(evalfstop,2)} Rule Graph: [0->{1},1->{3},2->{11},3->{4,5,6},4->{7,8},5->{7,8},6->{11},7->{9},8->{10},9->{2,3},10->{2,3},11->{}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: evalfstart.0(A,B) -> evalfentryin.1(A,B) True evalfentryin.1(A,B) -> evalfbb3in.3(B,A) [A >= 1 && B >= 1 + A] evalfbb3in.2(A,B) -> evalfreturnin.11(A,B) [0 >= A] evalfbb3in.3(A,B) -> evalfbb4in.4(A,B) [A >= 1] evalfbb3in.3(A,B) -> evalfbb4in.5(A,B) [A >= 1] evalfbb3in.3(A,B) -> evalfbb4in.6(A,B) [A >= 1] evalfbb4in.4(A,B) -> evalfbbin.7(A,B) [0 >= 1 + C] evalfbb4in.4(A,B) -> evalfbbin.8(A,B) [0 >= 1 + C] evalfbb4in.5(A,B) -> evalfbbin.7(A,B) [C >= 1] evalfbb4in.5(A,B) -> evalfbbin.8(A,B) [C >= 1] evalfbb4in.6(A,B) -> evalfreturnin.11(A,B) True evalfbbin.7(A,B) -> evalfbb1in.9(A,B) [B >= 1 + A] evalfbbin.8(A,B) -> evalfbb2in.10(A,B) [A >= B] evalfbb1in.9(A,B) -> evalfbb3in.2(1 + A,B) True evalfbb1in.9(A,B) -> evalfbb3in.3(1 + A,B) True evalfbb2in.10(A,B) -> evalfbb3in.2(A + -1*B,B) True evalfbb2in.10(A,B) -> evalfbb3in.3(A + -1*B,B) True evalfreturnin.11(A,B) -> evalfstop.12(A,B) True Signature: {(evalfbb1in.9,2) ;(evalfbb2in.10,2) ;(evalfbb3in.2,2) ;(evalfbb3in.3,2) ;(evalfbb4in.4,2) ;(evalfbb4in.5,2) ;(evalfbb4in.6,2) ;(evalfbbin.7,2) ;(evalfbbin.8,2) ;(evalfentryin.1,2) ;(evalfreturnin.11,2) ;(evalfstart.0,2) ;(evalfstop.12,2)} Rule Graph: [0->{1},1->{3,4,5},2->{17},3->{6,7},4->{8,9},5->{10},6->{11},7->{12},8->{11},9->{12},10->{17},11->{13,14} ,12->{15,16},13->{2},14->{3,4,5},15->{2},16->{3,4,5},17->{}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: evalfstart.0(A,B) -> evalfentryin.1(A,B) True evalfentryin.1(A,B) -> evalfbb3in.3(B,A) [A >= 1 && B >= 1 + A] evalfbb3in.2(A,B) -> evalfreturnin.11(A,B) [0 >= A] evalfbb3in.3(A,B) -> evalfbb4in.4(A,B) [A >= 1] evalfbb3in.3(A,B) -> evalfbb4in.5(A,B) [A >= 1] evalfbb3in.3(A,B) -> evalfbb4in.6(A,B) [A >= 1] evalfbb4in.4(A,B) -> evalfbbin.7(A,B) [0 >= 1 + C] evalfbb4in.4(A,B) -> evalfbbin.8(A,B) [0 >= 1 + C] evalfbb4in.5(A,B) -> evalfbbin.7(A,B) [C >= 1] evalfbb4in.5(A,B) -> evalfbbin.8(A,B) [C >= 1] evalfbb4in.6(A,B) -> evalfreturnin.11(A,B) True evalfbbin.7(A,B) -> evalfbb1in.9(A,B) [B >= 1 + A] evalfbbin.8(A,B) -> evalfbb2in.10(A,B) [A >= B] evalfbb1in.9(A,B) -> evalfbb3in.2(1 + A,B) True evalfbb1in.9(A,B) -> evalfbb3in.3(1 + A,B) True evalfbb2in.10(A,B) -> evalfbb3in.2(A + -1*B,B) True evalfbb2in.10(A,B) -> evalfbb3in.3(A + -1*B,B) True evalfreturnin.11(A,B) -> evalfstop.12(A,B) True evalfstop.12(A,B) -> exitus616(A,B) True evalfstop.12(A,B) -> exitus616(A,B) True evalfstop.12(A,B) -> exitus616(A,B) True Signature: {(evalfbb1in.9,2) ;(evalfbb2in.10,2) ;(evalfbb3in.2,2) ;(evalfbb3in.3,2) ;(evalfbb4in.4,2) ;(evalfbb4in.5,2) ;(evalfbb4in.6,2) ;(evalfbbin.7,2) ;(evalfbbin.8,2) ;(evalfentryin.1,2) ;(evalfreturnin.11,2) ;(evalfstart.0,2) ;(evalfstop.12,2) ;(exitus616,2)} Rule Graph: [0->{1},1->{3,4,5},2->{17},3->{6,7},4->{8,9},5->{10},6->{11},7->{12},8->{11},9->{12},10->{17},11->{13,14} ,12->{15,16},13->{2},14->{3,4,5},15->{2},16->{3,4,5},17->{18,19,20}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20] | `- p:[3,14,11,6,8,4,16,12,7,9] c: [] MAYBE