MAYBE Initial complexity problem: 1: T: (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f10(1, 1, Fresh_3, 0, 2, 1, Ar_6)) [ Fresh_3 >= 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, 0)) [ Ar_5 >= 1 /\ Ar_4 >= Ar_5 /\ Ar_1 >= 1 /\ 0 >= Ar_2 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0 + 1, Ar_0 + 1, Fresh_1, Ar_3, Ar_4, Ar_5, Fresh_2)) [ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ Ar_5 >= 1 /\ Ar_4 >= Ar_5 /\ 0 >= Ar_1 /\ 0 >= Ar_2 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Fresh_0)) [ Fresh_0 >= 0 /\ 1 >= Fresh_0 /\ Ar_5 >= 1 /\ Ar_2 >= 1 /\ Ar_4 >= Ar_5 ] (Comp: ?, Cost: 1) f21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ 0 >= Ar_6 ] (Comp: ?, Cost: 1) f21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= 1 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 /\ Ar_4 >= Ar_5 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_4 + 1 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Slicing away variables that do not contribute to conditions from problem 1 leaves variables [Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6]. We thus obtain the following problem: 2: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 /\ Ar_4 >= Ar_5 ] (Comp: ?, Cost: 1) f21(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= 1 ] (Comp: ?, Cost: 1) f21(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 - 1, Ar_6)) [ 0 >= Ar_6 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0, Ar_1, Ar_2 - 1, Ar_4, Ar_5, Fresh_0)) [ Fresh_0 >= 0 /\ 1 >= Fresh_0 /\ Ar_5 >= 1 /\ Ar_2 >= 1 /\ Ar_4 >= Ar_5 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0 + 1, Ar_0 + 1, Fresh_1, Ar_4, Ar_5, Fresh_2)) [ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ Ar_5 >= 1 /\ Ar_4 >= Ar_5 /\ 0 >= Ar_1 /\ 0 >= Ar_2 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0, Ar_1 - 1, Ar_2, Ar_4, Ar_5, 0)) [ Ar_5 >= 1 /\ Ar_4 >= Ar_5 /\ Ar_1 >= 1 /\ 0 >= Ar_2 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(1, 1, Fresh_3, 2, 1, Ar_6)) [ Fresh_3 >= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 2 produces the following problem: 3: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 /\ Ar_4 >= Ar_5 ] (Comp: ?, Cost: 1) f21(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= 1 ] (Comp: ?, Cost: 1) f21(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 - 1, Ar_6)) [ 0 >= Ar_6 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0, Ar_1, Ar_2 - 1, Ar_4, Ar_5, Fresh_0)) [ Fresh_0 >= 0 /\ 1 >= Fresh_0 /\ Ar_5 >= 1 /\ Ar_2 >= 1 /\ Ar_4 >= Ar_5 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0 + 1, Ar_0 + 1, Fresh_1, Ar_4, Ar_5, Fresh_2)) [ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ Ar_5 >= 1 /\ Ar_4 >= Ar_5 /\ 0 >= Ar_1 /\ 0 >= Ar_2 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0, Ar_1 - 1, Ar_2, Ar_4, Ar_5, 0)) [ Ar_5 >= 1 /\ Ar_4 >= Ar_5 /\ Ar_1 >= 1 /\ 0 >= Ar_2 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(1, 1, Fresh_3, 2, 1, Ar_6)) [ Fresh_3 >= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 1 Pol(f0) = 1 Pol(f10) = 1 Pol(f31) = 0 Pol(f21) = 1 orients all transitions weakly and the transition f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_4 + 1 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 /\ Ar_4 >= Ar_5 ] (Comp: ?, Cost: 1) f21(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= 1 ] (Comp: ?, Cost: 1) f21(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 - 1, Ar_6)) [ 0 >= Ar_6 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0, Ar_1, Ar_2 - 1, Ar_4, Ar_5, Fresh_0)) [ Fresh_0 >= 0 /\ 1 >= Fresh_0 /\ Ar_5 >= 1 /\ Ar_2 >= 1 /\ Ar_4 >= Ar_5 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0 + 1, Ar_0 + 1, Fresh_1, Ar_4, Ar_5, Fresh_2)) [ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ Ar_5 >= 1 /\ Ar_4 >= Ar_5 /\ 0 >= Ar_1 /\ 0 >= Ar_2 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0, Ar_1 - 1, Ar_2, Ar_4, Ar_5, 0)) [ Ar_5 >= 1 /\ Ar_4 >= Ar_5 /\ Ar_1 >= 1 /\ 0 >= Ar_2 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(1, 1, Fresh_3, 2, 1, Ar_6)) [ Fresh_3 >= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 1 Pol(f0) = 1 Pol(f10) = 1 Pol(f31) = 0 Pol(f21) = 1 orients all transitions weakly and the transition f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 /\ Ar_4 >= Ar_5 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_4 + 1 ] (Comp: 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 /\ Ar_4 >= Ar_5 ] (Comp: ?, Cost: 1) f21(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_6 >= 1 ] (Comp: ?, Cost: 1) f21(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 - 1, Ar_6)) [ 0 >= Ar_6 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0, Ar_1, Ar_2 - 1, Ar_4, Ar_5, Fresh_0)) [ Fresh_0 >= 0 /\ 1 >= Fresh_0 /\ Ar_5 >= 1 /\ Ar_2 >= 1 /\ Ar_4 >= Ar_5 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0 + 1, Ar_0 + 1, Fresh_1, Ar_4, Ar_5, Fresh_2)) [ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ Ar_5 >= 1 /\ Ar_4 >= Ar_5 /\ 0 >= Ar_1 /\ 0 >= Ar_2 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0, Ar_1 - 1, Ar_2, Ar_4, Ar_5, 0)) [ Ar_5 >= 1 /\ Ar_4 >= Ar_5 /\ Ar_1 >= 1 /\ 0 >= Ar_2 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(1, 1, Fresh_3, 2, 1, Ar_6)) [ Fresh_3 >= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 5 to obtain the following invariants: For symbol f10: -X_4 + 2 >= 0 /\ X_3 - X_4 + 2 >= 0 /\ X_1 - X_4 + 1 >= 0 /\ X_4 - 2 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ X_1 + X_4 - 3 >= 0 /\ X_3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_1 - 1 >= 0 For symbol f21: -X_6 + 1 >= 0 /\ X_5 - X_6 >= 0 /\ -X_5 - X_6 + 3 >= 0 /\ X_4 - X_6 - 1 >= 0 /\ -X_4 - X_6 + 3 >= 0 /\ X_3 - X_6 + 1 >= 0 /\ X_1 - X_6 >= 0 /\ X_6 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 + 2 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ -X_4 + X_6 + 2 >= 0 /\ X_3 + X_6 >= 0 /\ X_1 + X_6 - 1 >= 0 /\ -X_5 + 2 >= 0 /\ X_4 - X_5 >= 0 /\ -X_4 - X_5 + 4 >= 0 /\ X_3 - X_5 + 2 >= 0 /\ X_1 - X_5 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 3 >= 0 /\ -X_4 + X_5 + 1 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ -X_4 + 2 >= 0 /\ X_3 - X_4 + 2 >= 0 /\ X_1 - X_4 + 1 >= 0 /\ X_4 - 2 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ X_1 + X_4 - 3 >= 0 /\ X_3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_1 - 1 >= 0 This yielded the following problem: 6: T: (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(1, 1, Fresh_3, 2, 1, Ar_6)) [ Fresh_3 >= 0 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0, Ar_1 - 1, Ar_2, Ar_4, Ar_5, 0)) [ -Ar_4 + 2 >= 0 /\ Ar_2 - Ar_4 + 2 >= 0 /\ Ar_0 - Ar_4 + 1 >= 0 /\ Ar_4 - 2 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= 1 /\ Ar_4 >= Ar_5 /\ Ar_1 >= 1 /\ 0 >= Ar_2 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0 + 1, Ar_0 + 1, Fresh_1, Ar_4, Ar_5, Fresh_2)) [ -Ar_4 + 2 >= 0 /\ Ar_2 - Ar_4 + 2 >= 0 /\ Ar_0 - Ar_4 + 1 >= 0 /\ Ar_4 - 2 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ Ar_5 >= 1 /\ Ar_4 >= Ar_5 /\ 0 >= Ar_1 /\ 0 >= Ar_2 ] (Comp: ?, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f21(Ar_0, Ar_1, Ar_2 - 1, Ar_4, Ar_5, Fresh_0)) [ -Ar_4 + 2 >= 0 /\ Ar_2 - Ar_4 + 2 >= 0 /\ Ar_0 - Ar_4 + 1 >= 0 /\ Ar_4 - 2 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_0 >= 0 /\ 1 >= Fresh_0 /\ Ar_5 >= 1 /\ Ar_2 >= 1 /\ Ar_4 >= Ar_5 ] (Comp: ?, Cost: 1) f21(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 - 1, Ar_6)) [ -Ar_6 + 1 >= 0 /\ Ar_5 - Ar_6 >= 0 /\ -Ar_5 - Ar_6 + 3 >= 0 /\ Ar_4 - Ar_6 - 1 >= 0 /\ -Ar_4 - Ar_6 + 3 >= 0 /\ Ar_2 - Ar_6 + 1 >= 0 /\ Ar_0 - Ar_6 >= 0 /\ Ar_6 >= 0 /\ Ar_5 + Ar_6 - 1 >= 0 /\ -Ar_5 + Ar_6 + 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 + 2 >= 0 /\ Ar_2 + Ar_6 >= 0 /\ Ar_0 + Ar_6 - 1 >= 0 /\ -Ar_5 + 2 >= 0 /\ Ar_4 - Ar_5 >= 0 /\ -Ar_4 - Ar_5 + 4 >= 0 /\ Ar_2 - Ar_5 + 2 >= 0 /\ Ar_0 - Ar_5 + 1 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 3 >= 0 /\ -Ar_4 + Ar_5 + 1 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 + 2 >= 0 /\ Ar_2 - Ar_4 + 2 >= 0 /\ Ar_0 - Ar_4 + 1 >= 0 /\ Ar_4 - 2 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_6 ] (Comp: ?, Cost: 1) f21(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_6)) [ -Ar_6 + 1 >= 0 /\ Ar_5 - Ar_6 >= 0 /\ -Ar_5 - Ar_6 + 3 >= 0 /\ Ar_4 - Ar_6 - 1 >= 0 /\ -Ar_4 - Ar_6 + 3 >= 0 /\ Ar_2 - Ar_6 + 1 >= 0 /\ Ar_0 - Ar_6 >= 0 /\ Ar_6 >= 0 /\ Ar_5 + Ar_6 - 1 >= 0 /\ -Ar_5 + Ar_6 + 2 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 + 2 >= 0 /\ Ar_2 + Ar_6 >= 0 /\ Ar_0 + Ar_6 - 1 >= 0 /\ -Ar_5 + 2 >= 0 /\ Ar_4 - Ar_5 >= 0 /\ -Ar_4 - Ar_5 + 4 >= 0 /\ Ar_2 - Ar_5 + 2 >= 0 /\ Ar_0 - Ar_5 + 1 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 3 >= 0 /\ -Ar_4 + Ar_5 + 1 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 + 2 >= 0 /\ Ar_2 - Ar_4 + 2 >= 0 /\ Ar_0 - Ar_4 + 1 >= 0 /\ Ar_4 - 2 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 >= 1 ] (Comp: 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ -Ar_4 + 2 >= 0 /\ Ar_2 - Ar_4 + 2 >= 0 /\ Ar_0 - Ar_4 + 1 >= 0 /\ Ar_4 - 2 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_5 /\ Ar_4 >= Ar_5 ] (Comp: 1, Cost: 1) f10(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ -Ar_4 + 2 >= 0 /\ Ar_2 - Ar_4 + 2 >= 0 /\ Ar_0 - Ar_4 + 1 >= 0 /\ Ar_4 - 2 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= Ar_4 + 1 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound ? Time: 6.108 sec (SMT: 5.892 sec)