YES * Step 1: TrivialSCCs YES + Considered Problem: Rules: 0. evalrandom1dstart(A,B) -> evalrandom1dentryin(A,B) True (1,1) 1. evalrandom1dentryin(A,B) -> evalrandom1dbb5in(A,1) [A >= 1] (?,1) 2. evalrandom1dentryin(A,B) -> evalrandom1dreturnin(A,B) [0 >= A] (?,1) 3. evalrandom1dbb5in(A,B) -> evalrandom1dbb1in(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && A >= B] (?,1) 4. evalrandom1dbb5in(A,B) -> evalrandom1dreturnin(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= 1 + A] (?,1) 5. evalrandom1dbb1in(A,B) -> evalrandom1dbb5in(A,1 + B) [A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + C] (?,1) 6. evalrandom1dbb1in(A,B) -> evalrandom1dbb5in(A,1 + B) [A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1] (?,1) 7. evalrandom1dbb1in(A,B) -> evalrandom1dbb5in(A,1 + B) [A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] (?,1) 8. evalrandom1dreturnin(A,B) -> evalrandom1dstop(A,B) True (?,1) Signature: {(evalrandom1dbb1in,2) ;(evalrandom1dbb5in,2) ;(evalrandom1dentryin,2) ;(evalrandom1dreturnin,2) ;(evalrandom1dstart,2) ;(evalrandom1dstop,2)} Flow Graph: [0->{1,2},1->{3,4},2->{8},3->{5,6,7},4->{8},5->{3,4},6->{3,4},7->{3,4},8->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths YES + Considered Problem: Rules: 0. evalrandom1dstart(A,B) -> evalrandom1dentryin(A,B) True (1,1) 1. evalrandom1dentryin(A,B) -> evalrandom1dbb5in(A,1) [A >= 1] (1,1) 2. evalrandom1dentryin(A,B) -> evalrandom1dreturnin(A,B) [0 >= A] (1,1) 3. evalrandom1dbb5in(A,B) -> evalrandom1dbb1in(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && A >= B] (?,1) 4. evalrandom1dbb5in(A,B) -> evalrandom1dreturnin(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= 1 + A] (1,1) 5. evalrandom1dbb1in(A,B) -> evalrandom1dbb5in(A,1 + B) [A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + C] (?,1) 6. evalrandom1dbb1in(A,B) -> evalrandom1dbb5in(A,1 + B) [A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1] (?,1) 7. evalrandom1dbb1in(A,B) -> evalrandom1dbb5in(A,1 + B) [A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] (?,1) 8. evalrandom1dreturnin(A,B) -> evalrandom1dstop(A,B) True (1,1) Signature: {(evalrandom1dbb1in,2) ;(evalrandom1dbb5in,2) ;(evalrandom1dentryin,2) ;(evalrandom1dreturnin,2) ;(evalrandom1dstart,2) ;(evalrandom1dstop,2)} Flow Graph: [0->{1,2},1->{3,4},2->{8},3->{5,6,7},4->{8},5->{3,4},6->{3,4},7->{3,4},8->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,4)] * Step 3: Looptree YES + Considered Problem: Rules: 0. evalrandom1dstart(A,B) -> evalrandom1dentryin(A,B) True (1,1) 1. evalrandom1dentryin(A,B) -> evalrandom1dbb5in(A,1) [A >= 1] (1,1) 2. evalrandom1dentryin(A,B) -> evalrandom1dreturnin(A,B) [0 >= A] (1,1) 3. evalrandom1dbb5in(A,B) -> evalrandom1dbb1in(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && A >= B] (?,1) 4. evalrandom1dbb5in(A,B) -> evalrandom1dreturnin(A,B) [-1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && B >= 1 + A] (1,1) 5. evalrandom1dbb1in(A,B) -> evalrandom1dbb5in(A,1 + B) [A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + C] (?,1) 6. evalrandom1dbb1in(A,B) -> evalrandom1dbb5in(A,1 + B) [A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1] (?,1) 7. evalrandom1dbb1in(A,B) -> evalrandom1dbb5in(A,1 + B) [A + -1*B >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] (?,1) 8. evalrandom1dreturnin(A,B) -> evalrandom1dstop(A,B) True (1,1) Signature: {(evalrandom1dbb1in,2) ;(evalrandom1dbb5in,2) ;(evalrandom1dentryin,2) ;(evalrandom1dreturnin,2) ;(evalrandom1dstart,2) ;(evalrandom1dstop,2)} Flow Graph: [0->{1,2},1->{3},2->{8},3->{5,6,7},4->{8},5->{3,4},6->{3,4},7->{3,4},8->{}] + Applied Processor: Looptree + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8] | `- p:[3,5,6,7] c: [7] | `- p:[3,5,6] c: [6] | `- p:[3,5] c: [5] YES