MAYBE Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ 0 >= F + 1 /\ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) [ 0 >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) [ 0 >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ 0 >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ 0 >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transitions from problem 1: evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ 0 >= F + 1 /\ F >= 1 ] evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) [ 0 >= 1 ] evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4)) [ 0 >= 1 ] evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ 0 >= 1 ] evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3)) [ 0 >= 1 ] We thus obtain the following problem: 2: T: (Comp: ?, Cost: 1) evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 2 produces the following problem: 3: T: (Comp: ?, Cost: 1) evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalEx5bb2in) = 2 Pol(evalEx5bb3in) = 2 Pol(evalEx5bb4in) = 2 Pol(evalEx5bb6in) = 2 Pol(evalEx5bb1in) = 2 Pol(evalEx5returnin) = 1 Pol(evalEx5stop) = 0 Pol(evalEx5entryin) = 2 Pol(evalEx5start) = 2 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 ] strictly and produces the following problem: 4: T: (Comp: ?, Cost: 1) evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ 0 >= F + 1 ] (Comp: 2, Cost: 1) evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= F + 1 ] (Comp: 2, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 4 to obtain the following invariants: For symbol evalEx5bb1in: X_2 - X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0 For symbol evalEx5bb2in: X_4 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ -X_4 + X_5 + 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0 For symbol evalEx5bb3in: X_2 - X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0 For symbol evalEx5bb4in: X_2 - X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0 For symbol evalEx5bb6in: X_1 >= 0 For symbol evalEx5returnin: X_1 - X_2 >= 0 /\ X_1 >= 0 This yielded the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2, Cost: 1) evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = 0 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ -Ar_3 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] start location: koat_start leaf cost: 0 Testing for unsatisfiable constraints removes the following transition from problem 5: evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 + 1 ] We thus obtain the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2, Cost: 1) evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = 0 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ -Ar_3 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 3*V_1 + 4 Pol(evalEx5start) = 3*V_1 + 4 Pol(evalEx5entryin) = 3*V_1 + 4 Pol(evalEx5bb6in) = -3*V_1 + 3*V_2 + 4 Pol(evalEx5bb3in) = -3*V_1 + 3*V_2 + 4 Pol(evalEx5returnin) = -3*V_1 + 3*V_2 + 4 Pol(evalEx5bb1in) = -3*V_1 + 3*V_2 + 4 Pol(evalEx5bb4in) = -3*V_1 + 3*V_2 + 4 Pol(evalEx5stop) = -3*V_1 + 3*V_2 + 4 Pol(evalEx5bb2in) = -3*V_1 + 3*V_2 + 4 orients all transitions weakly and the transition evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = 0 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2, Cost: 1) evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: 3*Ar_0 + 4, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = 0 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ -Ar_3 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 6*V_1 Pol(evalEx5start) = 6*V_1 Pol(evalEx5entryin) = 6*V_1 Pol(evalEx5bb6in) = -3*V_1 + 6*V_2 - 5 Pol(evalEx5bb3in) = -3*V_1 + 3*V_2 + 3*V_3 + 3*V_4 - 8 Pol(evalEx5returnin) = -3*V_1 + 6*V_2 - 5 Pol(evalEx5bb1in) = -3*V_1 + 3*V_2 + 3*V_3 + 3*V_4 - 8 Pol(evalEx5bb4in) = -3*V_1 + 3*V_3 + 6*V_4 - 8 Pol(evalEx5stop) = -3*V_1 + 6*V_2 - 5 Pol(evalEx5bb2in) = -3*V_1 + 3*V_2 + 3*V_5 - 5 orients all transitions weakly and the transition evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ] strictly and produces the following problem: 8: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: 6*Ar_0, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2, Cost: 1) evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: 3*Ar_0 + 4, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = 0 ] (Comp: ?, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ -Ar_3 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalEx5bb4in) = 1 Pol(evalEx5bb6in) = 0 Pol(evalEx5bb3in) = 2 Pol(evalEx5bb1in) = 2 Pol(evalEx5bb2in) = 2 and size complexities S("evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 1 >= 0 /\\ -Ar_3 + Ar_4 + 1 >= 0 /\\ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = ? S("evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 1 >= 0 /\\ -Ar_3 + Ar_4 + 1 >= 0 /\\ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = ? S("evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 1 >= 0 /\\ -Ar_3 + Ar_4 + 1 >= 0 /\\ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = 1 S("evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 1 >= 0 /\\ -Ar_3 + Ar_4 + 1 >= 0 /\\ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-3) = ? S("evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 1 >= 0 /\\ -Ar_3 + Ar_4 + 1 >= 0 /\\ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-4) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= 1 ]", 0-0) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= 1 ]", 0-1) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= 1 ]", 0-2) = 1 S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= 1 ]", 0-3) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= 1 ]", 0-4) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 = 0 ]", 0-0) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 = 0 ]", 0-1) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 = 0 ]", 0-2) = 0 S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 = 0 ]", 0-3) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 = 0 ]", 0-4) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = 1 S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-3) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-4) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-0) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-1) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-2) = 1 S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-3) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-4) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-0) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-1) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-2) = 1 S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-3) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-4) = ? S("evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = ? S("evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = ? S("evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = Ar_2 + 1 S("evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-3) = ? S("evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-4) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = 1 S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-3) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-4) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-0) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-1) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-2) = 1 S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-3) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-4) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-0) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-1) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-2) = 1 S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-3) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-4) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-0) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-1) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-2) = Ar_2 + 1 S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-3) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-4) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = 0 S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-3) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-4) = ? S("evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4))", 0-0) = 0 S("evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 orients the transitions evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 ] evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ -Ar_3 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] weakly and the transition evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 ] strictly and produces the following problem: 9: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: 6*Ar_0, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2, Cost: 1) evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: 3*Ar_0 + 4, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = 0 ] (Comp: 12*Ar_0, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ -Ar_3 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalEx5bb3in) = 1 Pol(evalEx5bb4in) = 0 Pol(evalEx5bb1in) = 1 Pol(evalEx5bb2in) = 1 and size complexities S("evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 1 >= 0 /\\ -Ar_3 + Ar_4 + 1 >= 0 /\\ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = ? S("evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 1 >= 0 /\\ -Ar_3 + Ar_4 + 1 >= 0 /\\ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = ? S("evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 1 >= 0 /\\ -Ar_3 + Ar_4 + 1 >= 0 /\\ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = 1 S("evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 1 >= 0 /\\ -Ar_3 + Ar_4 + 1 >= 0 /\\ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-3) = ? S("evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 1 >= 0 /\\ -Ar_3 + Ar_4 + 1 >= 0 /\\ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-4) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= 1 ]", 0-0) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= 1 ]", 0-1) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= 1 ]", 0-2) = 1 S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= 1 ]", 0-3) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= 1 ]", 0-4) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 = 0 ]", 0-0) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 = 0 ]", 0-1) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 = 0 ]", 0-2) = 0 S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 = 0 ]", 0-3) = ? S("evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 = 0 ]", 0-4) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = 1 S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-3) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-4) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-0) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-1) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-2) = 1 S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-3) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-4) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-0) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-1) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-2) = 1 S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-3) = ? S("evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-4) = ? S("evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = ? S("evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = ? S("evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = Ar_2 + 1 S("evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-3) = ? S("evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-4) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = 1 S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-3) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 ]", 0-4) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-0) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-1) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-2) = 1 S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-3) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ F >= 1 ]", 0-4) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-0) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-1) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-2) = 1 S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-3) = ? S("evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ 0 >= F + 1 ]", 0-4) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-0) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-1) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-2) = Ar_2 + 1 S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-3) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-4) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = 0 S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-3) = ? S("evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-4) = ? S("evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4))", 0-0) = 0 S("evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 orients the transitions evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ -Ar_3 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] weakly and the transition evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] strictly and produces the following problem: 10: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalEx5start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalEx5entryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(0, Ar_0, Ar_2, Ar_3, Ar_4)) (Comp: 6*Ar_0, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 0, Ar_1, Ar_4)) [ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalEx5bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 0 /\ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] (Comp: 6*Ar_0, Cost: 1) evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2, Cost: 1) evalEx5returnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= F + 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3 - 1)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ F >= 1 ] (Comp: ?, Cost: 1) evalEx5bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: 3*Ar_0 + 4, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0 + 1, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = 0 ] (Comp: 12*Ar_0, Cost: 1) evalEx5bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb6in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalEx5bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalEx5bb3in(Ar_0, Ar_1, 1, Ar_4, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ -Ar_3 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound ? Time: 4.422 sec (SMT: 4.205 sec)