WORST_CASE(?, O(n^1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ] (Comp: ?, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) (Comp: ?, Cost: 1) evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ] (Comp: ?, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) (Comp: ?, Cost: 1) evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalEx4start) = 2 Pol(evalEx4entryin) = 2 Pol(evalEx4bb4in) = 2 Pol(evalEx4bb2in) = 2 Pol(evalEx4returnin) = 1 Pol(evalEx4bb3in) = 2 Pol(evalEx4bb1in) = 2 Pol(evalEx4stop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3)) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) (Comp: 2, Cost: 1) evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 3 to obtain the following invariants: For symbol evalEx4bb1in: X_2 - X_4 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ -X_1 + 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalEx4bb2in: X_2 - X_4 >= 0 /\ X_3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ -X_1 + 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalEx4bb3in: X_2 - X_4 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ -X_1 + 1 >= 0 /\ X_1 - 1 >= 0 This yielded the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ E >= 1 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_3 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ] (Comp: 1, Cost: 1) evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = V_1 + 9 Pol(evalEx4start) = V_1 + 9 Pol(evalEx4returnin) = V_1 + V_2 + 8 Pol(evalEx4stop) = V_1 + V_2 + 8 Pol(evalEx4bb1in) = V_3 + V_4 + 9 Pol(evalEx4bb2in) = V_3 + V_4 + 9 Pol(evalEx4bb3in) = V_3 + V_4 + 9 Pol(evalEx4bb4in) = V_1 + V_2 + 8 Pol(evalEx4entryin) = V_1 + 9 orients all transitions weakly and the transition evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: Ar_0 + 9, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ E >= 1 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_3 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ] (Comp: 1, Cost: 1) evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 2*V_1 + 9 Pol(evalEx4start) = 2*V_1 + 9 Pol(evalEx4returnin) = V_1 + 2*V_2 + 8 Pol(evalEx4stop) = V_1 + 2*V_2 + 8 Pol(evalEx4bb1in) = V_3 + 2*V_4 + 8 Pol(evalEx4bb2in) = V_3 + 2*V_4 + 9 Pol(evalEx4bb3in) = V_3 + 2*V_4 + 9 Pol(evalEx4bb4in) = V_1 + 2*V_2 + 8 Pol(evalEx4entryin) = 2*V_1 + 9 orients all transitions weakly and the transition evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ E >= 1 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: Ar_0 + 9, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 2*Ar_0 + 9, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ E >= 1 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_3 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ] (Comp: 1, Cost: 1) evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 2*V_1 + 8 Pol(evalEx4start) = 2*V_1 + 8 Pol(evalEx4returnin) = V_1 + 2*V_2 + 7 Pol(evalEx4stop) = V_1 + 2*V_2 + 7 Pol(evalEx4bb1in) = V_3 + 2*V_4 + 8 Pol(evalEx4bb2in) = V_3 + 2*V_4 + 8 Pol(evalEx4bb3in) = V_3 + 2*V_4 + 8 Pol(evalEx4bb4in) = V_1 + 2*V_2 + 7 Pol(evalEx4entryin) = 2*V_1 + 8 orients all transitions weakly and the transition evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 2*Ar_0 + 8, Cost: 1) evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: Ar_0 + 9, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 2*Ar_0 + 9, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ E >= 1 ] (Comp: ?, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_3 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ] (Comp: 1, Cost: 1) evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalEx4bb4in) = 2 Pol(evalEx4bb2in) = 2 Pol(evalEx4bb3in) = 1 Pol(evalEx4bb1in) = 0 and size complexities S("evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3))", 0-0) = 1 S("evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3))", 0-1) = Ar_0 S("evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ]", 0-0) = 1 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ]", 0-1) = Ar_0 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ]", 0-2) = 0 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ]", 0-3) = Ar_0 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-0) = 1 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-1) = Ar_0 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-2) = 1 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-3) = Ar_0 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-0) = 1 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-1) = Ar_0 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-2) = 1 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-3) = Ar_0 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_3 ]", 0-0) = 1 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_3 ]", 0-1) = Ar_0 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_3 ]", 0-2) = 1 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_3 ]", 0-3) = Ar_0 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= 1 ]", 0-0) = 1 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= 1 ]", 0-1) = Ar_0 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= 1 ]", 0-2) = 1 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= 1 ]", 0-3) = Ar_0 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= E + 1 ]", 0-0) = 1 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= E + 1 ]", 0-1) = Ar_0 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= E + 1 ]", 0-2) = 1 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= E + 1 ]", 0-3) = Ar_0 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ E >= 1 ]", 0-0) = 1 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ E >= 1 ]", 0-1) = Ar_0 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ E >= 1 ]", 0-2) = 1 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ E >= 1 ]", 0-3) = Ar_0 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = 1 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = 1 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_0 S("evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = 1 S("evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0 S("evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = 1 S("evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_0 S("evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 1 S("evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_0 S("evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = 1 S("evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ] evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= E + 1 ] evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_3 ] evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= 1 ] weakly and the transitions evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= E + 1 ] evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= 1 ] strictly and produces the following problem: 8: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 2*Ar_0 + 8, Cost: 1) evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: Ar_0 + 9, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 2*Ar_0 + 9, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ E >= 1 ] (Comp: 6*Ar_0 + 36, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= E + 1 ] (Comp: 6*Ar_0 + 36, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_3 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ] (Comp: 1, Cost: 1) evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalEx4bb4in) = 2*V_1 Pol(evalEx4bb2in) = 2*V_3 + 1 and size complexities S("evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3))", 0-0) = 1 S("evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3))", 0-1) = Ar_0 S("evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ]", 0-0) = 1 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ]", 0-1) = Ar_0 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ]", 0-2) = 0 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ]", 0-3) = Ar_0 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-0) = 1 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-1) = Ar_0 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-2) = 1 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-3) = Ar_0 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-0) = 1 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-1) = Ar_0 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-2) = 1 S("evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-3) = Ar_0 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_3 ]", 0-0) = 1 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_3 ]", 0-1) = Ar_0 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_3 ]", 0-2) = 1 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_3 ]", 0-3) = Ar_0 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= 1 ]", 0-0) = 1 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= 1 ]", 0-1) = Ar_0 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= 1 ]", 0-2) = 1 S("evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= 1 ]", 0-3) = Ar_0 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= E + 1 ]", 0-0) = 1 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= E + 1 ]", 0-1) = Ar_0 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= E + 1 ]", 0-2) = 1 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= E + 1 ]", 0-3) = Ar_0 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ E >= 1 ]", 0-0) = 1 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ E >= 1 ]", 0-1) = Ar_0 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ E >= 1 ]", 0-2) = 1 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ E >= 1 ]", 0-3) = Ar_0 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = 1 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = 1 S("evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_0 S("evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = 1 S("evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0 S("evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = 1 S("evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_0 + Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 + 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 + 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_0 S("evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 1 S("evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_0 S("evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = 1 S("evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ] evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_3 ] weakly and the transitions evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ] evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_3 ] strictly and produces the following problem: 9: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 2*Ar_0 + 8, Cost: 1) evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 1, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: Ar_0 + 9, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 2*Ar_0 + 9, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ E >= 1 ] (Comp: 6*Ar_0 + 36, Cost: 1) evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= E + 1 ] (Comp: 6*Ar_0 + 36, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= 1 ] (Comp: 8*Ar_0 + 44, Cost: 1) evalEx4bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_3 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: 2, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: 8*Ar_0 + 44, Cost: 1) evalEx4bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb2in(Ar_0, Ar_1, 0, Ar_1)) [ Ar_0 = 1 ] (Comp: 1, Cost: 1) evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4bb4in(1, Ar_0, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalEx4start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalEx4entryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 Complexity upper bound 33*Ar_0 + 194 Time: 3.389 sec (SMT: 3.247 sec)