MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. evalgcdstart(A,B) -> evalgcdentryin(A,B) True (1,1) 1. evalgcdentryin(A,B) -> evalgcdreturnin(A,B) [0 >= A] (?,1) 2. evalgcdentryin(A,B) -> evalgcdreturnin(A,B) [0 >= B] (?,1) 3. evalgcdentryin(A,B) -> evalgcdbb7in(B,A) [A >= 1 && B >= 1] (?,1) 4. evalgcdbb7in(A,B) -> evalgcdbb4in(A,B) [A >= 1 + B] (?,1) 5. evalgcdbb7in(A,B) -> evalgcdbb4in(A,B) [B >= 1 + A] (?,1) 6. evalgcdbb7in(A,B) -> evalgcdreturnin(A,B) [B = A] (?,1) 7. evalgcdbb4in(A,B) -> evalgcdbb5in(A,B) [A >= 1 + B] (?,1) 8. evalgcdbb4in(A,B) -> evalgcdbb6in(A,B) [B >= A] (?,1) 9. evalgcdbb5in(A,B) -> evalgcdbb7in(A + -1*B,B) [-1 + A + -1*B >= 0] (?,1) 10. evalgcdbb6in(A,B) -> evalgcdbb7in(A,-1*A + B) [-1*A + B >= 0] (?,1) 11. evalgcdreturnin(A,B) -> evalgcdstop(A,B) True (?,1) Signature: {(evalgcdbb4in,2) ;(evalgcdbb5in,2) ;(evalgcdbb6in,2) ;(evalgcdbb7in,2) ;(evalgcdentryin,2) ;(evalgcdreturnin,2) ;(evalgcdstart,2) ;(evalgcdstop,2)} Flow Graph: [0->{1,2,3},1->{11},2->{11},3->{4,5,6},4->{7,8},5->{7,8},6->{11},7->{9},8->{10},9->{4,5,6},10->{4,5,6} ,11->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(4,8),(5,7)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. evalgcdstart(A,B) -> evalgcdentryin(A,B) True (1,1) 1. evalgcdentryin(A,B) -> evalgcdreturnin(A,B) [0 >= A] (?,1) 2. evalgcdentryin(A,B) -> evalgcdreturnin(A,B) [0 >= B] (?,1) 3. evalgcdentryin(A,B) -> evalgcdbb7in(B,A) [A >= 1 && B >= 1] (?,1) 4. evalgcdbb7in(A,B) -> evalgcdbb4in(A,B) [A >= 1 + B] (?,1) 5. evalgcdbb7in(A,B) -> evalgcdbb4in(A,B) [B >= 1 + A] (?,1) 6. evalgcdbb7in(A,B) -> evalgcdreturnin(A,B) [B = A] (?,1) 7. evalgcdbb4in(A,B) -> evalgcdbb5in(A,B) [A >= 1 + B] (?,1) 8. evalgcdbb4in(A,B) -> evalgcdbb6in(A,B) [B >= A] (?,1) 9. evalgcdbb5in(A,B) -> evalgcdbb7in(A + -1*B,B) [-1 + A + -1*B >= 0] (?,1) 10. evalgcdbb6in(A,B) -> evalgcdbb7in(A,-1*A + B) [-1*A + B >= 0] (?,1) 11. evalgcdreturnin(A,B) -> evalgcdstop(A,B) True (?,1) Signature: {(evalgcdbb4in,2) ;(evalgcdbb5in,2) ;(evalgcdbb6in,2) ;(evalgcdbb7in,2) ;(evalgcdentryin,2) ;(evalgcdreturnin,2) ;(evalgcdstart,2) ;(evalgcdstop,2)} Flow Graph: [0->{1,2,3},1->{11},2->{11},3->{4,5,6},4->{7},5->{8},6->{11},7->{9},8->{10},9->{4,5,6},10->{4,5,6},11->{}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: evalgcdstart(A,B) -> evalgcdentryin(A,B) True evalgcdentryin(A,B) -> evalgcdreturnin(A,B) [0 >= A] evalgcdentryin(A,B) -> evalgcdreturnin(A,B) [0 >= B] evalgcdentryin(A,B) -> evalgcdbb7in(B,A) [A >= 1 && B >= 1] evalgcdbb7in(A,B) -> evalgcdbb4in(A,B) [A >= 1 + B] evalgcdbb7in(A,B) -> evalgcdbb4in(A,B) [B >= 1 + A] evalgcdbb7in(A,B) -> evalgcdreturnin(A,B) [B = A] evalgcdbb4in(A,B) -> evalgcdbb5in(A,B) [A >= 1 + B] evalgcdbb4in(A,B) -> evalgcdbb6in(A,B) [B >= A] evalgcdbb5in(A,B) -> evalgcdbb7in(A + -1*B,B) [-1 + A + -1*B >= 0] evalgcdbb6in(A,B) -> evalgcdbb7in(A,-1*A + B) [-1*A + B >= 0] evalgcdreturnin(A,B) -> evalgcdstop(A,B) True Signature: {(evalgcdbb4in,2) ;(evalgcdbb5in,2) ;(evalgcdbb6in,2) ;(evalgcdbb7in,2) ;(evalgcdentryin,2) ;(evalgcdreturnin,2) ;(evalgcdstart,2) ;(evalgcdstop,2)} Rule Graph: [0->{1,2,3},1->{11},2->{11},3->{4,5,6},4->{7},5->{8},6->{11},7->{9},8->{10},9->{4,5,6},10->{4,5,6},11->{}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: evalgcdstart.0(A,B) -> evalgcdentryin.1(A,B) True evalgcdstart.0(A,B) -> evalgcdentryin.2(A,B) True evalgcdstart.0(A,B) -> evalgcdentryin.3(A,B) True evalgcdentryin.1(A,B) -> evalgcdreturnin.11(A,B) [0 >= A] evalgcdentryin.2(A,B) -> evalgcdreturnin.11(A,B) [0 >= B] evalgcdentryin.3(A,B) -> evalgcdbb7in.4(B,A) [A >= 1 && B >= 1] evalgcdentryin.3(A,B) -> evalgcdbb7in.5(B,A) [A >= 1 && B >= 1] evalgcdentryin.3(A,B) -> evalgcdbb7in.6(B,A) [A >= 1 && B >= 1] evalgcdbb7in.4(A,B) -> evalgcdbb4in.7(A,B) [A >= 1 + B] evalgcdbb7in.5(A,B) -> evalgcdbb4in.8(A,B) [B >= 1 + A] evalgcdbb7in.6(A,B) -> evalgcdreturnin.11(A,B) [B = A] evalgcdbb4in.7(A,B) -> evalgcdbb5in.9(A,B) [A >= 1 + B] evalgcdbb4in.8(A,B) -> evalgcdbb6in.10(A,B) [B >= A] evalgcdbb5in.9(A,B) -> evalgcdbb7in.4(A + -1*B,B) [-1 + A + -1*B >= 0] evalgcdbb5in.9(A,B) -> evalgcdbb7in.5(A + -1*B,B) [-1 + A + -1*B >= 0] evalgcdbb5in.9(A,B) -> evalgcdbb7in.6(A + -1*B,B) [-1 + A + -1*B >= 0] evalgcdbb6in.10(A,B) -> evalgcdbb7in.4(A,-1*A + B) [-1*A + B >= 0] evalgcdbb6in.10(A,B) -> evalgcdbb7in.5(A,-1*A + B) [-1*A + B >= 0] evalgcdbb6in.10(A,B) -> evalgcdbb7in.6(A,-1*A + B) [-1*A + B >= 0] evalgcdreturnin.11(A,B) -> evalgcdstop.12(A,B) True Signature: {(evalgcdbb4in.7,2) ;(evalgcdbb4in.8,2) ;(evalgcdbb5in.9,2) ;(evalgcdbb6in.10,2) ;(evalgcdbb7in.4,2) ;(evalgcdbb7in.5,2) ;(evalgcdbb7in.6,2) ;(evalgcdentryin.1,2) ;(evalgcdentryin.2,2) ;(evalgcdentryin.3,2) ;(evalgcdreturnin.11,2) ;(evalgcdstart.0,2) ;(evalgcdstop.12,2)} Rule Graph: [0->{3},1->{4},2->{5,6,7},3->{19},4->{19},5->{8},6->{9},7->{10},8->{11},9->{12},10->{19},11->{13,14,15} ,12->{16,17,18},13->{8},14->{9},15->{10},16->{8},17->{9},18->{10},19->{}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: evalgcdstart.0(A,B) -> evalgcdentryin.1(A,B) True evalgcdstart.0(A,B) -> evalgcdentryin.2(A,B) True evalgcdstart.0(A,B) -> evalgcdentryin.3(A,B) True evalgcdentryin.1(A,B) -> evalgcdreturnin.11(A,B) [0 >= A] evalgcdentryin.2(A,B) -> evalgcdreturnin.11(A,B) [0 >= B] evalgcdentryin.3(A,B) -> evalgcdbb7in.4(B,A) [A >= 1 && B >= 1] evalgcdentryin.3(A,B) -> evalgcdbb7in.5(B,A) [A >= 1 && B >= 1] evalgcdentryin.3(A,B) -> evalgcdbb7in.6(B,A) [A >= 1 && B >= 1] evalgcdbb7in.4(A,B) -> evalgcdbb4in.7(A,B) [A >= 1 + B] evalgcdbb7in.5(A,B) -> evalgcdbb4in.8(A,B) [B >= 1 + A] evalgcdbb7in.6(A,B) -> evalgcdreturnin.11(A,B) [B = A] evalgcdbb4in.7(A,B) -> evalgcdbb5in.9(A,B) [A >= 1 + B] evalgcdbb4in.8(A,B) -> evalgcdbb6in.10(A,B) [B >= A] evalgcdbb5in.9(A,B) -> evalgcdbb7in.4(A + -1*B,B) [-1 + A + -1*B >= 0] evalgcdbb5in.9(A,B) -> evalgcdbb7in.5(A + -1*B,B) [-1 + A + -1*B >= 0] evalgcdbb5in.9(A,B) -> evalgcdbb7in.6(A + -1*B,B) [-1 + A + -1*B >= 0] evalgcdbb6in.10(A,B) -> evalgcdbb7in.4(A,-1*A + B) [-1*A + B >= 0] evalgcdbb6in.10(A,B) -> evalgcdbb7in.5(A,-1*A + B) [-1*A + B >= 0] evalgcdbb6in.10(A,B) -> evalgcdbb7in.6(A,-1*A + B) [-1*A + B >= 0] evalgcdreturnin.11(A,B) -> evalgcdstop.12(A,B) True evalgcdstop.12(A,B) -> exitus616(A,B) True evalgcdstop.12(A,B) -> exitus616(A,B) True evalgcdstop.12(A,B) -> exitus616(A,B) True evalgcdstop.12(A,B) -> exitus616(A,B) True evalgcdstop.12(A,B) -> exitus616(A,B) True evalgcdstop.12(A,B) -> exitus616(A,B) True evalgcdstop.12(A,B) -> exitus616(A,B) True Signature: {(evalgcdbb4in.7,2) ;(evalgcdbb4in.8,2) ;(evalgcdbb5in.9,2) ;(evalgcdbb6in.10,2) ;(evalgcdbb7in.4,2) ;(evalgcdbb7in.5,2) ;(evalgcdbb7in.6,2) ;(evalgcdentryin.1,2) ;(evalgcdentryin.2,2) ;(evalgcdentryin.3,2) ;(evalgcdreturnin.11,2) ;(evalgcdstart.0,2) ;(evalgcdstop.12,2) ;(exitus616,2)} Rule Graph: [0->{3},1->{4},2->{5,6,7},3->{19},4->{19},5->{8},6->{9},7->{10},8->{11},9->{12},10->{19},11->{13,14,15} ,12->{16,17,18},13->{8},14->{9},15->{10},16->{8},17->{9},18->{10},19->{20,21,22,23,24,25,26}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26] | `- p:[8,13,11,16,12,9,14,17] c: [] MAYBE