YES * Step 1: FromIts YES + Considered Problem: Rules: 0. evalwcet1start(A,B,C,D) -> evalwcet1entryin(A,B,C,D) True (1,1) 1. evalwcet1entryin(A,B,C,D) -> evalwcet1bbin(A,0,A,D) [A >= 1] (?,1) 2. evalwcet1entryin(A,B,C,D) -> evalwcet1returnin(A,B,C,D) [0 >= A] (?,1) 3. evalwcet1bbin(A,B,C,D) -> evalwcet1bb1in(A,B,C,D) [0 >= 1 + E] (?,1) 4. evalwcet1bbin(A,B,C,D) -> evalwcet1bb1in(A,B,C,D) [E >= 1] (?,1) 5. evalwcet1bbin(A,B,C,D) -> evalwcet1bb4in(A,B,C,D) True (?,1) 6. evalwcet1bb1in(A,B,C,D) -> evalwcet1bb6in(A,B,C,0) [1 + B >= A] (?,1) 7. evalwcet1bb1in(A,B,C,D) -> evalwcet1bb6in(A,B,C,1 + B) [A >= 2 + B] (?,1) 8. evalwcet1bb4in(A,B,C,D) -> evalwcet1bb5in(A,B,C,D) [1 >= B] (?,1) 9. evalwcet1bb4in(A,B,C,D) -> evalwcet1bb6in(A,B,C,-1 + B) [B >= 2] (?,1) 10. evalwcet1bb5in(A,B,C,D) -> evalwcet1bb6in(A,B,C,0) True (?,1) 11. evalwcet1bb6in(A,B,C,D) -> evalwcet1bbin(A,D,-1 + C,D) [C >= 2] (?,1) 12. evalwcet1bb6in(A,B,C,D) -> evalwcet1returnin(A,B,C,D) [1 >= C] (?,1) 13. evalwcet1returnin(A,B,C,D) -> evalwcet1stop(A,B,C,D) True (?,1) Signature: {(evalwcet1bb1in,4) ;(evalwcet1bb4in,4) ;(evalwcet1bb5in,4) ;(evalwcet1bb6in,4) ;(evalwcet1bbin,4) ;(evalwcet1entryin,4) ;(evalwcet1returnin,4) ;(evalwcet1start,4) ;(evalwcet1stop,4)} Flow Graph: [0->{1,2},1->{3,4,5},2->{13},3->{6,7},4->{6,7},5->{8,9},6->{11,12},7->{11,12},8->{10},9->{11,12},10->{11 ,12},11->{3,4,5},12->{13},13->{}] + Applied Processor: FromIts + Details: () * Step 2: Decompose YES + Considered Problem: Rules: evalwcet1start(A,B,C,D) -> evalwcet1entryin(A,B,C,D) True evalwcet1entryin(A,B,C,D) -> evalwcet1bbin(A,0,A,D) [A >= 1] evalwcet1entryin(A,B,C,D) -> evalwcet1returnin(A,B,C,D) [0 >= A] evalwcet1bbin(A,B,C,D) -> evalwcet1bb1in(A,B,C,D) [0 >= 1 + E] evalwcet1bbin(A,B,C,D) -> evalwcet1bb1in(A,B,C,D) [E >= 1] evalwcet1bbin(A,B,C,D) -> evalwcet1bb4in(A,B,C,D) True evalwcet1bb1in(A,B,C,D) -> evalwcet1bb6in(A,B,C,0) [1 + B >= A] evalwcet1bb1in(A,B,C,D) -> evalwcet1bb6in(A,B,C,1 + B) [A >= 2 + B] evalwcet1bb4in(A,B,C,D) -> evalwcet1bb5in(A,B,C,D) [1 >= B] evalwcet1bb4in(A,B,C,D) -> evalwcet1bb6in(A,B,C,-1 + B) [B >= 2] evalwcet1bb5in(A,B,C,D) -> evalwcet1bb6in(A,B,C,0) True evalwcet1bb6in(A,B,C,D) -> evalwcet1bbin(A,D,-1 + C,D) [C >= 2] evalwcet1bb6in(A,B,C,D) -> evalwcet1returnin(A,B,C,D) [1 >= C] evalwcet1returnin(A,B,C,D) -> evalwcet1stop(A,B,C,D) True Signature: {(evalwcet1bb1in,4) ;(evalwcet1bb4in,4) ;(evalwcet1bb5in,4) ;(evalwcet1bb6in,4) ;(evalwcet1bbin,4) ;(evalwcet1entryin,4) ;(evalwcet1returnin,4) ;(evalwcet1start,4) ;(evalwcet1stop,4)} Rule Graph: [0->{1,2},1->{3,4,5},2->{13},3->{6,7},4->{6,7},5->{8,9},6->{11,12},7->{11,12},8->{10},9->{11,12},10->{11 ,12},11->{3,4,5},12->{13},13->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13] | `- p:[3,11,6,4,7,9,5,10,8] c: [3,4,5,6,7,8,9,10,11] * Step 3: CloseWith YES + Considered Problem: (Rules: evalwcet1start(A,B,C,D) -> evalwcet1entryin(A,B,C,D) True evalwcet1entryin(A,B,C,D) -> evalwcet1bbin(A,0,A,D) [A >= 1] evalwcet1entryin(A,B,C,D) -> evalwcet1returnin(A,B,C,D) [0 >= A] evalwcet1bbin(A,B,C,D) -> evalwcet1bb1in(A,B,C,D) [0 >= 1 + E] evalwcet1bbin(A,B,C,D) -> evalwcet1bb1in(A,B,C,D) [E >= 1] evalwcet1bbin(A,B,C,D) -> evalwcet1bb4in(A,B,C,D) True evalwcet1bb1in(A,B,C,D) -> evalwcet1bb6in(A,B,C,0) [1 + B >= A] evalwcet1bb1in(A,B,C,D) -> evalwcet1bb6in(A,B,C,1 + B) [A >= 2 + B] evalwcet1bb4in(A,B,C,D) -> evalwcet1bb5in(A,B,C,D) [1 >= B] evalwcet1bb4in(A,B,C,D) -> evalwcet1bb6in(A,B,C,-1 + B) [B >= 2] evalwcet1bb5in(A,B,C,D) -> evalwcet1bb6in(A,B,C,0) True evalwcet1bb6in(A,B,C,D) -> evalwcet1bbin(A,D,-1 + C,D) [C >= 2] evalwcet1bb6in(A,B,C,D) -> evalwcet1returnin(A,B,C,D) [1 >= C] evalwcet1returnin(A,B,C,D) -> evalwcet1stop(A,B,C,D) True Signature: {(evalwcet1bb1in,4) ;(evalwcet1bb4in,4) ;(evalwcet1bb5in,4) ;(evalwcet1bb6in,4) ;(evalwcet1bbin,4) ;(evalwcet1entryin,4) ;(evalwcet1returnin,4) ;(evalwcet1start,4) ;(evalwcet1stop,4)} Rule Graph: [0->{1,2},1->{3,4,5},2->{13},3->{6,7},4->{6,7},5->{8,9},6->{11,12},7->{11,12},8->{10},9->{11,12},10->{11 ,12},11->{3,4,5},12->{13},13->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13] | `- p:[3,11,6,4,7,9,5,10,8] c: [3,4,5,6,7,8,9,10,11]) + Applied Processor: CloseWith True + Details: () YES