YES * Step 1: TrivialSCCs YES + Considered Problem: Rules: 0. evalDis1start(A,B,C,D) -> evalDis1entryin(A,B,C,D) True (1,1) 1. evalDis1entryin(A,B,C,D) -> evalDis1bb3in(B,A,D,C) True (?,1) 2. evalDis1bb3in(A,B,C,D) -> evalDis1bbin(A,B,C,D) [A >= 1 + B] (?,1) 3. evalDis1bb3in(A,B,C,D) -> evalDis1returnin(A,B,C,D) [B >= A] (?,1) 4. evalDis1bbin(A,B,C,D) -> evalDis1bb1in(A,B,C,D) [-1 + A + -1*B >= 0 && C >= 1 + D] (?,1) 5. evalDis1bbin(A,B,C,D) -> evalDis1bb2in(A,B,C,D) [-1 + A + -1*B >= 0 && D >= C] (?,1) 6. evalDis1bb1in(A,B,C,D) -> evalDis1bb3in(A,B,C,1 + D) [-1 + C + -1*D >= 0 && -1 + A + -1*B >= 0] (?,1) 7. evalDis1bb2in(A,B,C,D) -> evalDis1bb3in(A,1 + B,C,D) [-1*C + D >= 0 && -1 + A + -1*B >= 0] (?,1) 8. evalDis1returnin(A,B,C,D) -> evalDis1stop(A,B,C,D) [-1*A + B >= 0] (?,1) Signature: {(evalDis1bb1in,4) ;(evalDis1bb2in,4) ;(evalDis1bb3in,4) ;(evalDis1bbin,4) ;(evalDis1entryin,4) ;(evalDis1returnin,4) ;(evalDis1start,4) ;(evalDis1stop,4)} Flow Graph: [0->{1},1->{2,3},2->{4,5},3->{8},4->{6},5->{7},6->{2,3},7->{2,3},8->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths YES + Considered Problem: Rules: 0. evalDis1start(A,B,C,D) -> evalDis1entryin(A,B,C,D) True (1,1) 1. evalDis1entryin(A,B,C,D) -> evalDis1bb3in(B,A,D,C) True (1,1) 2. evalDis1bb3in(A,B,C,D) -> evalDis1bbin(A,B,C,D) [A >= 1 + B] (?,1) 3. evalDis1bb3in(A,B,C,D) -> evalDis1returnin(A,B,C,D) [B >= A] (1,1) 4. evalDis1bbin(A,B,C,D) -> evalDis1bb1in(A,B,C,D) [-1 + A + -1*B >= 0 && C >= 1 + D] (?,1) 5. evalDis1bbin(A,B,C,D) -> evalDis1bb2in(A,B,C,D) [-1 + A + -1*B >= 0 && D >= C] (?,1) 6. evalDis1bb1in(A,B,C,D) -> evalDis1bb3in(A,B,C,1 + D) [-1 + C + -1*D >= 0 && -1 + A + -1*B >= 0] (?,1) 7. evalDis1bb2in(A,B,C,D) -> evalDis1bb3in(A,1 + B,C,D) [-1*C + D >= 0 && -1 + A + -1*B >= 0] (?,1) 8. evalDis1returnin(A,B,C,D) -> evalDis1stop(A,B,C,D) [-1*A + B >= 0] (1,1) Signature: {(evalDis1bb1in,4) ;(evalDis1bb2in,4) ;(evalDis1bb3in,4) ;(evalDis1bbin,4) ;(evalDis1entryin,4) ;(evalDis1returnin,4) ;(evalDis1start,4) ;(evalDis1stop,4)} Flow Graph: [0->{1},1->{2,3},2->{4,5},3->{8},4->{6},5->{7},6->{2,3},7->{2,3},8->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(6,3)] * Step 3: Looptree YES + Considered Problem: Rules: 0. evalDis1start(A,B,C,D) -> evalDis1entryin(A,B,C,D) True (1,1) 1. evalDis1entryin(A,B,C,D) -> evalDis1bb3in(B,A,D,C) True (1,1) 2. evalDis1bb3in(A,B,C,D) -> evalDis1bbin(A,B,C,D) [A >= 1 + B] (?,1) 3. evalDis1bb3in(A,B,C,D) -> evalDis1returnin(A,B,C,D) [B >= A] (1,1) 4. evalDis1bbin(A,B,C,D) -> evalDis1bb1in(A,B,C,D) [-1 + A + -1*B >= 0 && C >= 1 + D] (?,1) 5. evalDis1bbin(A,B,C,D) -> evalDis1bb2in(A,B,C,D) [-1 + A + -1*B >= 0 && D >= C] (?,1) 6. evalDis1bb1in(A,B,C,D) -> evalDis1bb3in(A,B,C,1 + D) [-1 + C + -1*D >= 0 && -1 + A + -1*B >= 0] (?,1) 7. evalDis1bb2in(A,B,C,D) -> evalDis1bb3in(A,1 + B,C,D) [-1*C + D >= 0 && -1 + A + -1*B >= 0] (?,1) 8. evalDis1returnin(A,B,C,D) -> evalDis1stop(A,B,C,D) [-1*A + B >= 0] (1,1) Signature: {(evalDis1bb1in,4) ;(evalDis1bb2in,4) ;(evalDis1bb3in,4) ;(evalDis1bbin,4) ;(evalDis1entryin,4) ;(evalDis1returnin,4) ;(evalDis1start,4) ;(evalDis1stop,4)} Flow Graph: [0->{1},1->{2,3},2->{4,5},3->{8},4->{6},5->{7},6->{2},7->{2,3},8->{}] + Applied Processor: Looptree + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8] | `- p:[2,6,4,7,5] c: [7] | `- p:[2,6,4] c: [6] YES