MAYBE Initial complexity problem: 1: T: (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f7(Fresh_3, Ar_1, Fresh_3, Ar_3, Ar_4)) [ 0 >= Fresh_3 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f7(Fresh_2, Ar_1, Fresh_2, Ar_3, Ar_4)) [ Fresh_2 >= 101 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f15(Fresh_0, 0, Fresh_0, Fresh_1, Ar_4)) [ 100 >= Fresh_0 /\ Fresh_0 >= 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f15(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) f23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f23(Ar_0, Ar_0 - 1, Ar_2, Ar_3, 0)) [ Ar_0 = Ar_1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f23(Ar_0, Ar_1 - 1, Ar_2, Ar_3, 0)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 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_4]. We thus obtain the following problem: 2: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_4)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1 - 1, 0)) (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_0 - 1, 0)) [ Ar_0 = Ar_1 ] (Comp: ?, Cost: 1) f23(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Ar_0, Ar_1, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) f23(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1, Ar_4 + 1)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Ar_0, Ar_1 + 1, Ar_4)) (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Fresh_0, 0, Ar_4)) [ 100 >= Fresh_0 /\ Fresh_0 >= 1 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_2, Ar_1, Ar_4)) [ Fresh_2 >= 101 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_3, Ar_1, Ar_4)) [ 0 >= Fresh_3 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] 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_4) -> Com_1(f0(Ar_0, Ar_1, Ar_4)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1 - 1, 0)) (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_0 - 1, 0)) [ Ar_0 = Ar_1 ] (Comp: ?, Cost: 1) f23(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Ar_0, Ar_1, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) f23(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1, Ar_4 + 1)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Ar_0, Ar_1 + 1, Ar_4)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Fresh_0, 0, Ar_4)) [ 100 >= Fresh_0 /\ Fresh_0 >= 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_2, Ar_1, Ar_4)) [ Fresh_2 >= 101 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_3, Ar_1, Ar_4)) [ 0 >= Fresh_3 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 2 Pol(f0) = 2 Pol(f16) = 2 Pol(f23) = 1 Pol(f15) = 2 Pol(f7) = 0 orients all transitions weakly and the transitions f23(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Ar_0, Ar_1, Ar_4)) [ Ar_4 >= Ar_1 ] f16(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1 - 1, 0)) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_0 - 1, 0)) [ Ar_0 = Ar_1 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_4)) [ 0 <= 0 ] (Comp: 2, Cost: 1) f16(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1 - 1, 0)) (Comp: 2, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_0 - 1, 0)) [ Ar_0 = Ar_1 ] (Comp: 2, Cost: 1) f23(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Ar_0, Ar_1, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) f23(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1, Ar_4 + 1)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Ar_0, Ar_1 + 1, Ar_4)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Fresh_0, 0, Ar_4)) [ 100 >= Fresh_0 /\ Fresh_0 >= 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_2, Ar_1, Ar_4)) [ Fresh_2 >= 101 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_3, Ar_1, Ar_4)) [ 0 >= Fresh_3 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f16) = 2*V_1 - 2*V_2 + 2 Pol(f15) = 2*V_1 - 2*V_2 + 3 and size complexities S("f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = 100 S("f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = ? S("f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = Ar_4 S("f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_1 >= Ar_0 + 1 ]", 0-0) = 100 S("f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_1 >= Ar_0 + 1 ]", 0-1) = ? S("f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_4 S("f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_3, Ar_1, Ar_4)) [ 0 >= Fresh_3 ]", 0-0) = ? S("f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_3, Ar_1, Ar_4)) [ 0 >= Fresh_3 ]", 0-1) = Ar_1 S("f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_3, Ar_1, Ar_4)) [ 0 >= Fresh_3 ]", 0-2) = Ar_4 S("f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_2, Ar_1, Ar_4)) [ Fresh_2 >= 101 ]", 0-0) = ? S("f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_2, Ar_1, Ar_4)) [ Fresh_2 >= 101 ]", 0-1) = Ar_1 S("f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_2, Ar_1, Ar_4)) [ Fresh_2 >= 101 ]", 0-2) = Ar_4 S("f0(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Fresh_0, 0, Ar_4)) [ 100 >= Fresh_0 /\\ Fresh_0 >= 1 ]", 0-0) = 100 S("f0(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Fresh_0, 0, Ar_4)) [ 100 >= Fresh_0 /\\ Fresh_0 >= 1 ]", 0-1) = 0 S("f0(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Fresh_0, 0, Ar_4)) [ 100 >= Fresh_0 /\\ Fresh_0 >= 1 ]", 0-2) = Ar_4 S("f16(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Ar_0, Ar_1 + 1, Ar_4))", 0-0) = 100 S("f16(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Ar_0, Ar_1 + 1, Ar_4))", 0-1) = ? S("f16(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Ar_0, Ar_1 + 1, Ar_4))", 0-2) = Ar_4 S("f23(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1, Ar_4 + 1)) [ Ar_1 >= Ar_4 + 1 ]", 0-0) = 100 S("f23(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1, Ar_4 + 1)) [ Ar_1 >= Ar_4 + 1 ]", 0-1) = ? S("f23(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1, Ar_4 + 1)) [ Ar_1 >= Ar_4 + 1 ]", 0-2) = ? S("f23(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Ar_0, Ar_1, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-0) = 100 S("f23(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Ar_0, Ar_1, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-1) = ? S("f23(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Ar_0, Ar_1, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-2) = ? S("f15(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_0 - 1, 0)) [ Ar_0 = Ar_1 ]", 0-0) = 100 S("f15(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_0 - 1, 0)) [ Ar_0 = Ar_1 ]", 0-1) = 101 S("f15(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_0 - 1, 0)) [ Ar_0 = Ar_1 ]", 0-2) = 0 S("f16(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1 - 1, 0))", 0-0) = 100 S("f16(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1 - 1, 0))", 0-1) = ? S("f16(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1 - 1, 0))", 0-2) = 0 S("koat_start(Ar_0, Ar_1, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_4 orients the transitions f16(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Ar_0, Ar_1 + 1, Ar_4)) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_1 >= Ar_0 + 1 ] f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] weakly and the transition f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_4)) [ 0 <= 0 ] (Comp: 2, Cost: 1) f16(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1 - 1, 0)) (Comp: 2, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_0 - 1, 0)) [ Ar_0 = Ar_1 ] (Comp: 2, Cost: 1) f23(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Ar_0, Ar_1, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) f23(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1, Ar_4 + 1)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Ar_0, Ar_1 + 1, Ar_4)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Fresh_0, 0, Ar_4)) [ 100 >= Fresh_0 /\ Fresh_0 >= 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_2, Ar_1, Ar_4)) [ Fresh_2 >= 101 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_3, Ar_1, Ar_4)) [ 0 >= Fresh_3 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 203, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 5 to obtain the following invariants: For symbol f15: X_2 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 + 100 >= 0 /\ -X_1 + 100 >= 0 /\ X_1 - 1 >= 0 For symbol f16: X_2 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 + 100 >= 0 /\ -X_1 + 100 >= 0 /\ X_1 - 1 >= 0 For symbol f23: X_2 - X_3 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 + 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 + 100 >= 0 /\ X_2 + 1 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 + 101 >= 0 /\ -X_1 + 100 >= 0 /\ X_1 - 1 >= 0 This yielded the following problem: 6: T: (Comp: 203, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 + 100 >= 0 /\ -Ar_0 + 100 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f16(Ar_0, Ar_1, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 + 100 >= 0 /\ -Ar_0 + 100 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_3, Ar_1, Ar_4)) [ 0 >= Fresh_3 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Fresh_2, Ar_1, Ar_4)) [ Fresh_2 >= 101 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Fresh_0, 0, Ar_4)) [ 100 >= Fresh_0 /\ Fresh_0 >= 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_4) -> Com_1(f15(Ar_0, Ar_1 + 1, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 + 100 >= 0 /\ -Ar_0 + 100 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) f23(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1, Ar_4 + 1)) [ Ar_1 - Ar_4 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_1 + Ar_4 + 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 + 100 >= 0 /\ Ar_1 + 1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 101 >= 0 /\ -Ar_0 + 100 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_4 + 1 ] (Comp: 2, Cost: 1) f23(Ar_0, Ar_1, Ar_4) -> Com_1(f7(Ar_0, Ar_1, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_1 + Ar_4 + 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 + 100 >= 0 /\ Ar_1 + 1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 101 >= 0 /\ -Ar_0 + 100 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_1 ] (Comp: 2, Cost: 1) f15(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_0 - 1, 0)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 + 100 >= 0 /\ -Ar_0 + 100 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 = Ar_1 ] (Comp: 2, Cost: 1) f16(Ar_0, Ar_1, Ar_4) -> Com_1(f23(Ar_0, Ar_1 - 1, 0)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 + 100 >= 0 /\ -Ar_0 + 100 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound ? Time: 3.650 sec (SMT: 3.515 sec)