MAYBE Initial complexity problem: 1: T: (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Fresh_20, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) [ Ar_0 >= Ar_1 + 1 /\ Ar_2 >= 0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_16, Ar_6, Fresh_17, Fresh_18, Fresh_19, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) [ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Fresh_12, Fresh_13, Ar_10, Ar_12, Ar_13, Fresh_14, Fresh_15, Ar_4, Ar_16, Ar_17)) [ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, 0, Fresh_9, Fresh_10, Ar_10, Ar_12, Ar_12, 0, Ar_14, Ar_4, Fresh_11, Ar_17)) [ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_3, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_4, Fresh_5, Ar_10, Fresh_3, Fresh_6, Fresh_7, Fresh_8, Ar_15, Ar_3, Ar_2 - 2)) [ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ] (Comp: ?, Cost: 1) f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f9(17, 1, 0, Fresh_0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_1, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) [ 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, Ar_7, Ar_12, Ar_13]. 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, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 1, 0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_0 >= Ar_1 + 1 /\ Ar_2 >= 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, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 1, 0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_0 >= Ar_1 + 1 /\ Ar_2 >= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 2 Pol(f6) = 2 Pol(f9) = 2 Pol(f5) = 1 Pol(f12) = 0 Pol(f0) = 0 orients all transitions weakly and the transitions f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ] f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ] 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, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 1, 0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) (Comp: 2, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ] (Comp: 2, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_0 >= Ar_1 + 1 /\ Ar_2 >= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 1 Pol(f6) = 1 Pol(f9) = 1 Pol(f5) = 1 Pol(f12) = 0 Pol(f0) = 1 orients all transitions weakly and the transition f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ] 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, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 1, 0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) (Comp: 2, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ] (Comp: 1, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ] (Comp: 2, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_0 >= Ar_1 + 1 /\ Ar_2 >= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 16 Pol(f6) = 16 Pol(f9) = V_1 - V_2 Pol(f5) = V_1 - V_2 - V_3 - 2*V_4 Pol(f12) = V_1 - V_2 - V_3 - 2*V_4 Pol(f0) = V_1 - V_2 - V_3 - 2*V_4 orients all transitions weakly and the transition f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_0 >= Ar_1 + 1 /\ Ar_2 >= 0 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 1, 0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) (Comp: 2, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ] (Comp: 1, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ] (Comp: 2, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ] (Comp: 16, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_0 >= Ar_1 + 1 /\ Ar_2 >= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 6 to obtain the following invariants: For symbol f5: -X_7 >= 0 /\ X_4 - X_7 - 1 >= 0 /\ X_3 - X_7 - 16 >= 0 /\ X_2 - X_7 - 17 >= 0 /\ X_1 - X_7 - 17 >= 0 /\ -X_1 - X_7 + 17 >= 0 /\ X_7 >= 0 /\ X_4 + X_7 - 1 >= 0 /\ X_3 + X_7 - 16 >= 0 /\ X_2 + X_7 - 17 >= 0 /\ X_1 + X_7 - 17 >= 0 /\ -X_1 + X_7 + 17 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 17 >= 0 /\ X_2 + X_4 - 18 >= 0 /\ X_1 + X_4 - 18 >= 0 /\ -X_1 + X_4 + 16 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 - 16 >= 0 /\ X_2 + X_3 - 33 >= 0 /\ -X_2 + X_3 + 1 >= 0 /\ X_1 + X_3 - 33 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ X_2 - 17 >= 0 /\ X_1 + X_2 - 34 >= 0 /\ -X_1 + X_2 >= 0 /\ -X_1 + 17 >= 0 /\ X_1 - 17 >= 0 For symbol f9: X_2 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 + 1 >= 0 /\ X_1 + X_3 - 17 >= 0 /\ -X_1 + X_3 + 17 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 18 >= 0 /\ -X_1 + X_2 + 16 >= 0 /\ -X_1 + 17 >= 0 /\ X_1 - 17 >= 0 This yielded the following problem: 7: T: (Comp: 16, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ] (Comp: 2, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ] (Comp: ?, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ] (Comp: 1, Cost: 1) f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ] (Comp: 2, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ] (Comp: 1, Cost: 1) f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 1, 0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound ? Time: 4.220 sec (SMT: 4.038 sec)