MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. evalloopsstart(A,B) -> evalloopsentryin(A,B) True (1,1) 1. evalloopsentryin(A,B) -> evalloopsbb6in(A,B) [A >= 0] (?,1) 2. evalloopsentryin(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (?,1) 3. evalloopsbb6in(A,B) -> evalloopsbb1in(A,B) [A >= 0] (?,1) 4. evalloopsbb6in(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (?,1) 5. evalloopsbb1in(A,B) -> evalloopsbb4in(A,1) [A >= 2] (?,1) 6. evalloopsbb1in(A,B) -> evalloopsbb5in(A,C) [1 >= A] (?,1) 7. evalloopsbb4in(A,B) -> evalloopsbb3in(A,B) [A >= 1 + B] (?,1) 8. evalloopsbb4in(A,B) -> evalloopsbb5in(A,B) [B >= A] (?,1) 9. evalloopsbb3in(A,B) -> evalloopsbb4in(A,2*B) True (?,1) 10. evalloopsbb5in(A,B) -> evalloopsbb6in(-1 + A,B) True (?,1) 11. evalloopsreturnin(A,B) -> evalloopsstop(A,B) True (?,1) Signature: {(evalloopsbb1in,2) ;(evalloopsbb3in,2) ;(evalloopsbb4in,2) ;(evalloopsbb5in,2) ;(evalloopsbb6in,2) ;(evalloopsentryin,2) ;(evalloopsreturnin,2) ;(evalloopsstart,2) ;(evalloopsstop,2)} Flow Graph: [0->{1,2},1->{3,4},2->{11},3->{5,6},4->{11},5->{7,8},6->{10},7->{9},8->{10},9->{7,8},10->{3,4},11->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,4),(5,8)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. evalloopsstart(A,B) -> evalloopsentryin(A,B) True (1,1) 1. evalloopsentryin(A,B) -> evalloopsbb6in(A,B) [A >= 0] (?,1) 2. evalloopsentryin(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (?,1) 3. evalloopsbb6in(A,B) -> evalloopsbb1in(A,B) [A >= 0] (?,1) 4. evalloopsbb6in(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (?,1) 5. evalloopsbb1in(A,B) -> evalloopsbb4in(A,1) [A >= 2] (?,1) 6. evalloopsbb1in(A,B) -> evalloopsbb5in(A,C) [1 >= A] (?,1) 7. evalloopsbb4in(A,B) -> evalloopsbb3in(A,B) [A >= 1 + B] (?,1) 8. evalloopsbb4in(A,B) -> evalloopsbb5in(A,B) [B >= A] (?,1) 9. evalloopsbb3in(A,B) -> evalloopsbb4in(A,2*B) True (?,1) 10. evalloopsbb5in(A,B) -> evalloopsbb6in(-1 + A,B) True (?,1) 11. evalloopsreturnin(A,B) -> evalloopsstop(A,B) True (?,1) Signature: {(evalloopsbb1in,2) ;(evalloopsbb3in,2) ;(evalloopsbb4in,2) ;(evalloopsbb5in,2) ;(evalloopsbb6in,2) ;(evalloopsentryin,2) ;(evalloopsreturnin,2) ;(evalloopsstart,2) ;(evalloopsstop,2)} Flow Graph: [0->{1,2},1->{3},2->{11},3->{5,6},4->{11},5->{7},6->{10},7->{9},8->{10},9->{7,8},10->{3,4},11->{}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: evalloopsstart(A,B) -> evalloopsentryin(A,B) True evalloopsentryin(A,B) -> evalloopsbb6in(A,B) [A >= 0] evalloopsentryin(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] evalloopsbb6in(A,B) -> evalloopsbb1in(A,B) [A >= 0] evalloopsbb6in(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] evalloopsbb1in(A,B) -> evalloopsbb4in(A,1) [A >= 2] evalloopsbb1in(A,B) -> evalloopsbb5in(A,C) [1 >= A] evalloopsbb4in(A,B) -> evalloopsbb3in(A,B) [A >= 1 + B] evalloopsbb4in(A,B) -> evalloopsbb5in(A,B) [B >= A] evalloopsbb3in(A,B) -> evalloopsbb4in(A,2*B) True evalloopsbb5in(A,B) -> evalloopsbb6in(-1 + A,B) True evalloopsreturnin(A,B) -> evalloopsstop(A,B) True Signature: {(evalloopsbb1in,2) ;(evalloopsbb3in,2) ;(evalloopsbb4in,2) ;(evalloopsbb5in,2) ;(evalloopsbb6in,2) ;(evalloopsentryin,2) ;(evalloopsreturnin,2) ;(evalloopsstart,2) ;(evalloopsstop,2)} Rule Graph: [0->{1,2},1->{3},2->{11},3->{5,6},4->{11},5->{7},6->{10},7->{9},8->{10},9->{7,8},10->{3,4},11->{}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: evalloopsstart.0(A,B) -> evalloopsentryin.1(A,B) True evalloopsstart.0(A,B) -> evalloopsentryin.2(A,B) True evalloopsentryin.1(A,B) -> evalloopsbb6in.3(A,B) [A >= 0] evalloopsentryin.2(A,B) -> evalloopsreturnin.11(A,B) [0 >= 1 + A] evalloopsbb6in.3(A,B) -> evalloopsbb1in.5(A,B) [A >= 0] evalloopsbb6in.3(A,B) -> evalloopsbb1in.6(A,B) [A >= 0] evalloopsbb6in.4(A,B) -> evalloopsreturnin.11(A,B) [0 >= 1 + A] evalloopsbb1in.5(A,B) -> evalloopsbb4in.7(A,1) [A >= 2] evalloopsbb1in.6(A,B) -> evalloopsbb5in.10(A,C) [1 >= A] evalloopsbb4in.7(A,B) -> evalloopsbb3in.9(A,B) [A >= 1 + B] evalloopsbb4in.8(A,B) -> evalloopsbb5in.10(A,B) [B >= A] evalloopsbb3in.9(A,B) -> evalloopsbb4in.7(A,2*B) True evalloopsbb3in.9(A,B) -> evalloopsbb4in.8(A,2*B) True evalloopsbb5in.10(A,B) -> evalloopsbb6in.3(-1 + A,B) True evalloopsbb5in.10(A,B) -> evalloopsbb6in.4(-1 + A,B) True evalloopsreturnin.11(A,B) -> evalloopsstop.12(A,B) True Signature: {(evalloopsbb1in.5,2) ;(evalloopsbb1in.6,2) ;(evalloopsbb3in.9,2) ;(evalloopsbb4in.7,2) ;(evalloopsbb4in.8,2) ;(evalloopsbb5in.10,2) ;(evalloopsbb6in.3,2) ;(evalloopsbb6in.4,2) ;(evalloopsentryin.1,2) ;(evalloopsentryin.2,2) ;(evalloopsreturnin.11,2) ;(evalloopsstart.0,2) ;(evalloopsstop.12,2)} Rule Graph: [0->{2},1->{3},2->{4,5},3->{15},4->{7},5->{8},6->{15},7->{9},8->{13,14},9->{11,12},10->{13,14},11->{9} ,12->{10},13->{4,5},14->{6},15->{}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: evalloopsstart.0(A,B) -> evalloopsentryin.1(A,B) True evalloopsstart.0(A,B) -> evalloopsentryin.2(A,B) True evalloopsentryin.1(A,B) -> evalloopsbb6in.3(A,B) [A >= 0] evalloopsentryin.2(A,B) -> evalloopsreturnin.11(A,B) [0 >= 1 + A] evalloopsbb6in.3(A,B) -> evalloopsbb1in.5(A,B) [A >= 0] evalloopsbb6in.3(A,B) -> evalloopsbb1in.6(A,B) [A >= 0] evalloopsbb6in.4(A,B) -> evalloopsreturnin.11(A,B) [0 >= 1 + A] evalloopsbb1in.5(A,B) -> evalloopsbb4in.7(A,1) [A >= 2] evalloopsbb1in.6(A,B) -> evalloopsbb5in.10(A,C) [1 >= A] evalloopsbb4in.7(A,B) -> evalloopsbb3in.9(A,B) [A >= 1 + B] evalloopsbb4in.8(A,B) -> evalloopsbb5in.10(A,B) [B >= A] evalloopsbb3in.9(A,B) -> evalloopsbb4in.7(A,2*B) True evalloopsbb3in.9(A,B) -> evalloopsbb4in.8(A,2*B) True evalloopsbb5in.10(A,B) -> evalloopsbb6in.3(-1 + A,B) True evalloopsbb5in.10(A,B) -> evalloopsbb6in.4(-1 + A,B) True evalloopsreturnin.11(A,B) -> evalloopsstop.12(A,B) True evalloopsstop.12(A,B) -> exitus616(A,B) True evalloopsstop.12(A,B) -> exitus616(A,B) True Signature: {(evalloopsbb1in.5,2) ;(evalloopsbb1in.6,2) ;(evalloopsbb3in.9,2) ;(evalloopsbb4in.7,2) ;(evalloopsbb4in.8,2) ;(evalloopsbb5in.10,2) ;(evalloopsbb6in.3,2) ;(evalloopsbb6in.4,2) ;(evalloopsentryin.1,2) ;(evalloopsentryin.2,2) ;(evalloopsreturnin.11,2) ;(evalloopsstart.0,2) ;(evalloopsstop.12,2) ;(exitus616,2)} Rule Graph: [0->{2},1->{3},2->{4,5},3->{15},4->{7},5->{8},6->{15},7->{9},8->{13,14},9->{11,12},10->{13,14},11->{9} ,12->{10},13->{4,5},14->{6},15->{16,17}] + 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] | `- p:[4,13,8,5,10,12,9,7,11] c: [4,5,7,8,10,12,13] | `- p:[9,11] c: [] MAYBE