MAYBE Initial complexity problem: 1: T: (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= 2 ] (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, 0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 = 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_4, Ar_5)) [ 255 >= Ar_2 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5)) [ Ar_2 >= 0 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(4, 0, Ar_2, Fresh_0, 0, Ar_5)) (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ 0 >= Ar_4 /\ Ar_3 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_4 >= 2 /\ Ar_3 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ 0 >= Ar_1 + 1 /\ Ar_3 >= Ar_5 + 1 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_1 >= 1 /\ Ar_3 >= Ar_5 + 1 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0 - 1, 1, Ar_2 + Ar_0 - 1, Ar_3, 2, Ar_5)) [ Ar_3 >= Ar_5 + 1 /\ Ar_1 = 0 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ 1 >= Ar_4 /\ Ar_5 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_4 >= 3 /\ Ar_5 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ 0 >= Ar_1 + 1 /\ Ar_5 >= Ar_3 + 1 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_1 >= 1 /\ Ar_5 >= Ar_3 + 1 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0 - 1, 1, Ar_2 - Ar_0 + 1, Ar_3, 1, Ar_5)) [ Ar_5 >= Ar_3 + 1 /\ Ar_1 = 0 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= 256 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_3)) [ Ar_3 = Ar_5 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= 2 ] (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, 0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 = 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_4, Ar_5)) [ 255 >= Ar_2 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5)) [ Ar_2 >= 0 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(4, 0, Ar_2, Fresh_0, 0, Ar_5)) (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ 0 >= Ar_4 /\ Ar_3 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_4 >= 2 /\ Ar_3 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ 0 >= Ar_1 + 1 /\ Ar_3 >= Ar_5 + 1 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_1 >= 1 /\ Ar_3 >= Ar_5 + 1 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0 - 1, 1, Ar_2 + Ar_0 - 1, Ar_3, 2, Ar_5)) [ Ar_3 >= Ar_5 + 1 /\ Ar_1 = 0 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ 1 >= Ar_4 /\ Ar_5 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_4 >= 3 /\ Ar_5 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ 0 >= Ar_1 + 1 /\ Ar_5 >= Ar_3 + 1 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_1 >= 1 /\ Ar_5 >= Ar_3 + 1 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0 - 1, 1, Ar_2 - Ar_0 + 1, Ar_3, 1, Ar_5)) [ Ar_5 >= Ar_3 + 1 /\ Ar_1 = 0 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= 256 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_3)) [ Ar_3 = Ar_5 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f5) = 1 Pol(f7) = 1 Pol(f9) = 1 Pol(f16) = 1 Pol(f25) = 1 Pol(f0) = 1 Pol(f30) = 0 Pol(koat_start) = 1 orients all transitions weakly and the transitions f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_3)) [ Ar_3 = Ar_5 ] f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 = 1 ] f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_2 + 1 ] f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= 256 ] strictly and produces the following problem: 3: T: (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= 2 ] (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, 0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 = 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_4, Ar_5)) [ 255 >= Ar_2 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5)) [ Ar_2 >= 0 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(4, 0, Ar_2, Fresh_0, 0, Ar_5)) (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ 0 >= Ar_4 /\ Ar_3 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_4 >= 2 /\ Ar_3 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ 0 >= Ar_1 + 1 /\ Ar_3 >= Ar_5 + 1 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_1 >= 1 /\ Ar_3 >= Ar_5 + 1 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0 - 1, 1, Ar_2 + Ar_0 - 1, Ar_3, 2, Ar_5)) [ Ar_3 >= Ar_5 + 1 /\ Ar_1 = 0 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ 1 >= Ar_4 /\ Ar_5 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_4 >= 3 /\ Ar_5 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ 0 >= Ar_1 + 1 /\ Ar_5 >= Ar_3 + 1 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_1 >= 1 /\ Ar_5 >= Ar_3 + 1 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0 - 1, 1, Ar_2 - Ar_0 + 1, Ar_3, 1, Ar_5)) [ Ar_5 >= Ar_3 + 1 /\ Ar_1 = 0 /\ Ar_4 = 2 ] (Comp: 1, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 = 1 ] (Comp: 1, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= 256 ] (Comp: 1, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_2 + 1 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_3)) [ Ar_3 = Ar_5 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f5) = -4*V_2 + 1 Pol(f7) = -4*V_2 + 1 Pol(f9) = -4*V_2 + 1 Pol(f16) = -4*V_2 + 1 Pol(f25) = -4*V_2 + 1 Pol(f0) = 1 Pol(f30) = -4*V_2 + 1 Pol(koat_start) = 1 orients all transitions weakly and the transitions f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0 - 1, 1, Ar_2 - Ar_0 + 1, Ar_3, 1, Ar_5)) [ Ar_5 >= Ar_3 + 1 /\ Ar_1 = 0 /\ Ar_4 = 2 ] f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0 - 1, 1, Ar_2 + Ar_0 - 1, Ar_3, 2, Ar_5)) [ Ar_3 >= Ar_5 + 1 /\ Ar_1 = 0 /\ Ar_4 = 1 ] strictly and produces the following problem: 4: T: (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= 2 ] (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, 0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 = 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_4, Ar_5)) [ 255 >= Ar_2 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5)) [ Ar_2 >= 0 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(4, 0, Ar_2, Fresh_0, 0, Ar_5)) (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ 0 >= Ar_4 /\ Ar_3 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_4 >= 2 /\ Ar_3 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ 0 >= Ar_1 + 1 /\ Ar_3 >= Ar_5 + 1 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_1 >= 1 /\ Ar_3 >= Ar_5 + 1 /\ Ar_4 = 1 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0 - 1, 1, Ar_2 + Ar_0 - 1, Ar_3, 2, Ar_5)) [ Ar_3 >= Ar_5 + 1 /\ Ar_1 = 0 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ 1 >= Ar_4 /\ Ar_5 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_4 >= 3 /\ Ar_5 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ 0 >= Ar_1 + 1 /\ Ar_5 >= Ar_3 + 1 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_1 >= 1 /\ Ar_5 >= Ar_3 + 1 /\ Ar_4 = 2 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0 - 1, 1, Ar_2 - Ar_0 + 1, Ar_3, 1, Ar_5)) [ Ar_5 >= Ar_3 + 1 /\ Ar_1 = 0 /\ Ar_4 = 2 ] (Comp: 1, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 = 1 ] (Comp: 1, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= 256 ] (Comp: 1, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_2 + 1 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_3)) [ Ar_3 = Ar_5 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 4 to obtain the following invariants: For symbol f16: X_4 - X_6 - 1 >= 0 /\ -X_5 + 2 >= 0 /\ X_2 - X_5 + 2 >= 0 /\ -X_1 - X_5 + 6 >= 0 /\ X_5 - 2 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ -X_1 + X_5 + 2 >= 0 /\ -X_1 - X_2 + 4 >= 0 /\ X_2 >= 0 /\ -X_1 + X_2 + 4 >= 0 /\ -X_1 + 4 >= 0 For symbol f25: -X_4 + X_6 - 1 >= 0 /\ -X_5 + 1 >= 0 /\ X_2 - X_5 + 1 >= 0 /\ -X_1 - X_5 + 5 >= 0 /\ X_5 - 1 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ -X_1 + X_5 + 3 >= 0 /\ -X_1 - X_2 + 4 >= 0 /\ X_2 >= 0 /\ -X_1 + X_2 + 4 >= 0 /\ -X_1 + 4 >= 0 For symbol f5: X_5 >= 0 /\ X_2 + X_5 >= 0 /\ -X_1 + X_5 + 4 >= 0 /\ -X_1 - X_2 + 4 >= 0 /\ X_2 >= 0 /\ -X_1 + X_2 + 4 >= 0 /\ -X_1 + 4 >= 0 For symbol f7: X_5 >= 0 /\ X_2 + X_5 >= 0 /\ -X_1 + X_5 + 4 >= 0 /\ -X_1 - X_2 + 4 >= 0 /\ X_2 >= 0 /\ -X_1 + X_2 + 4 >= 0 /\ -X_1 + 4 >= 0 For symbol f9: X_5 >= 0 /\ X_2 + X_5 >= 0 /\ -X_1 + X_5 + 4 >= 0 /\ -X_1 - X_2 + 4 >= 0 /\ X_2 >= 0 /\ -X_1 + X_2 + 4 >= 0 /\ -X_1 + 4 >= 0 This yielded the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_3)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_3 = Ar_5 ] (Comp: 1, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ -Ar_3 + Ar_5 - 1 >= 0 /\ -Ar_4 + 1 >= 0 /\ Ar_1 - Ar_4 + 1 >= 0 /\ -Ar_0 - Ar_4 + 5 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 + 3 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 0 >= Ar_2 + 1 ] (Comp: 1, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 - Ar_5 - 1 >= 0 /\ -Ar_4 + 2 >= 0 /\ Ar_1 - Ar_4 + 2 >= 0 /\ -Ar_0 - Ar_4 + 6 >= 0 /\ Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 + 2 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_2 >= 256 ] (Comp: 1, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 = 1 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0 - 1, 1, Ar_2 - Ar_0 + 1, Ar_3, 1, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_5 >= Ar_3 + 1 /\ Ar_1 = 0 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_1 >= 1 /\ Ar_5 >= Ar_3 + 1 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 0 >= Ar_1 + 1 /\ Ar_5 >= Ar_3 + 1 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_4 >= 3 /\ Ar_5 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 1 >= Ar_4 /\ Ar_5 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0 - 1, 1, Ar_2 + Ar_0 - 1, Ar_3, 2, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_3 >= Ar_5 + 1 /\ Ar_1 = 0 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_1 >= 1 /\ Ar_3 >= Ar_5 + 1 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 0 >= Ar_1 + 1 /\ Ar_3 >= Ar_5 + 1 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_4 >= 2 /\ Ar_3 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 0 >= Ar_4 /\ Ar_3 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_1 >= 1 ] (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(4, 0, Ar_2, Fresh_0, 0, Ar_5)) (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5)) [ -Ar_3 + Ar_5 - 1 >= 0 /\ -Ar_4 + 1 >= 0 /\ Ar_1 - Ar_4 + 1 >= 0 /\ -Ar_0 - Ar_4 + 5 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 + 3 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_2 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_4, Ar_5)) [ Ar_3 - Ar_5 - 1 >= 0 /\ -Ar_4 + 2 >= 0 /\ Ar_1 - Ar_4 + 2 >= 0 /\ -Ar_0 - Ar_4 + 6 >= 0 /\ Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 + 2 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 255 >= Ar_2 ] (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, 0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_1 = 0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 >= 2 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 0 >= Ar_0 ] start location: koat_start leaf cost: 0 Testing for unsatisfiable constraints removes the following transitions from problem 5: f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 0 >= Ar_1 + 1 /\ Ar_5 >= Ar_3 + 1 /\ Ar_4 = 2 ] f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 0 >= Ar_1 + 1 /\ Ar_3 >= Ar_5 + 1 /\ Ar_4 = 1 ] f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 0 >= Ar_1 + 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, Ar_5) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_3)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_3 = Ar_5 ] (Comp: 1, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ -Ar_3 + Ar_5 - 1 >= 0 /\ -Ar_4 + 1 >= 0 /\ Ar_1 - Ar_4 + 1 >= 0 /\ -Ar_0 - Ar_4 + 5 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 + 3 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 0 >= Ar_2 + 1 ] (Comp: 1, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 - Ar_5 - 1 >= 0 /\ -Ar_4 + 2 >= 0 /\ Ar_1 - Ar_4 + 2 >= 0 /\ -Ar_0 - Ar_4 + 6 >= 0 /\ Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 + 2 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_2 >= 256 ] (Comp: 1, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f30(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 = 1 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0 - 1, 1, Ar_2 - Ar_0 + 1, Ar_3, 1, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_5 >= Ar_3 + 1 /\ Ar_1 = 0 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_1 >= 1 /\ Ar_5 >= Ar_3 + 1 /\ Ar_4 = 2 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_4 >= 3 /\ Ar_5 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_1, Ar_2 - Ar_0, Ar_3, 1, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 1 >= Ar_4 /\ Ar_5 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0 - 1, 1, Ar_2 + Ar_0 - 1, Ar_3, 2, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_3 >= Ar_5 + 1 /\ Ar_1 = 0 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_1 >= 1 /\ Ar_3 >= Ar_5 + 1 /\ Ar_4 = 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_4 >= 2 /\ Ar_3 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f16(Ar_0, Ar_1, Ar_2 + Ar_0, Ar_3, 2, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 0 >= Ar_4 /\ Ar_3 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_1 >= 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(4, 0, Ar_2, Fresh_0, 0, Ar_5)) (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Fresh_1, Ar_4, Ar_5)) [ -Ar_3 + Ar_5 - 1 >= 0 /\ -Ar_4 + 1 >= 0 /\ Ar_1 - Ar_4 + 1 >= 0 /\ -Ar_0 - Ar_4 + 5 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 + 3 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_2 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_4, Ar_5)) [ Ar_3 - Ar_5 - 1 >= 0 /\ -Ar_4 + 2 >= 0 /\ Ar_1 - Ar_4 + 2 >= 0 /\ -Ar_0 - Ar_4 + 6 >= 0 /\ Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 + 2 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 255 >= Ar_2 ] (Comp: ?, Cost: 1) f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, 0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_1 = 0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 >= 2 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 4 >= 0 /\ -Ar_0 - Ar_1 + 4 >= 0 /\ Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ 0 >= Ar_0 ] start location: koat_start leaf cost: 0 Complexity upper bound ? Time: 12.450 sec (SMT: 11.953 sec)