MAYBE Initial complexity problem: 1: T: (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f11(Ar_0, Ar_0, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 = Ar_1 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f11(0, 0, Fresh_9, 0, 1, Fresh_10, Fresh_10)) [ Fresh_9 >= 0 /\ Fresh_10 >= 1 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f34(0, Fresh_8, Ar_2, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ Fresh_8 >= 0 /\ 1 >= Fresh_8 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ 0 >= Ar_3 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f34(1, Fresh_7, Ar_2, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ Fresh_7 >= 0 /\ 1 >= Fresh_7 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 1 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f34(0, Fresh_6, Ar_2, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ Fresh_6 >= 0 /\ 1 >= Fresh_6 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 2 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f34(Fresh_3, Fresh_4, Fresh_5, 0, Ar_4 + 1, Ar_5, Ar_6)) [ Fresh_4 >= 0 /\ 1 >= Fresh_4 /\ Fresh_3 >= 0 /\ 1 >= Fresh_3 /\ Fresh_5 >= 0 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 >= 3 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f34(Fresh_1, Fresh_2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ 1 >= Fresh_1 /\ Ar_2 >= 1 /\ Ar_6 >= 1 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_1 /\ 0 >= Ar_2 /\ 0 >= Ar_3 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ Ar_1 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 1 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_1 /\ 0 >= Ar_2 /\ Ar_3 = 2 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Fresh_0, 0, Ar_4 + 1, Ar_5, Ar_6)) [ Fresh_0 >= 0 /\ 0 >= Ar_2 /\ Ar_3 >= 3 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f53(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ] (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_3, Ar_6]. We thus obtain the following problem: 2: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f53(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6)) [ 0 >= Ar_6 ] (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6 - 1)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6 - 1)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_6)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Fresh_0, 0, Ar_6)) [ Fresh_0 >= 0 /\ 0 >= Ar_2 /\ Ar_3 >= 3 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_6)) [ 0 >= Ar_1 /\ 0 >= Ar_2 /\ Ar_3 = 2 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_6)) [ Ar_1 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 1 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_6)) [ 0 >= Ar_1 /\ 0 >= Ar_2 /\ 0 >= Ar_3 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(Fresh_1, Fresh_2, Ar_2 - 1, Ar_3, Ar_6)) [ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ 1 >= Fresh_1 /\ Ar_2 >= 1 /\ Ar_6 >= 1 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(Fresh_3, Fresh_4, Fresh_5, 0, Ar_6)) [ Fresh_4 >= 0 /\ 1 >= Fresh_4 /\ Fresh_3 >= 0 /\ 1 >= Fresh_3 /\ Fresh_5 >= 0 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 >= 3 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(0, Fresh_6, Ar_2, Ar_3 + 1, Ar_6)) [ Fresh_6 >= 0 /\ 1 >= Fresh_6 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 2 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(1, Fresh_7, Ar_2, Ar_3 + 1, Ar_6)) [ Fresh_7 >= 0 /\ 1 >= Fresh_7 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 1 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(0, Fresh_8, Ar_2, Ar_3 + 1, Ar_6)) [ Fresh_8 >= 0 /\ 1 >= Fresh_8 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ 0 >= Ar_3 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(0, 0, Fresh_9, 0, Fresh_10)) [ Fresh_9 >= 0 /\ Fresh_10 >= 1 ] (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(Ar_0, Ar_0, Ar_2, Ar_3, Ar_6)) [ Ar_0 = Ar_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_2, Ar_3, Ar_6) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f53(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6)) [ 0 >= Ar_6 ] (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6 - 1)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6 - 1)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_6)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Fresh_0, 0, Ar_6)) [ Fresh_0 >= 0 /\ 0 >= Ar_2 /\ Ar_3 >= 3 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_6)) [ 0 >= Ar_1 /\ 0 >= Ar_2 /\ Ar_3 = 2 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_6)) [ Ar_1 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 1 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_6)) [ 0 >= Ar_1 /\ 0 >= Ar_2 /\ 0 >= Ar_3 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(Fresh_1, Fresh_2, Ar_2 - 1, Ar_3, Ar_6)) [ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ 1 >= Fresh_1 /\ Ar_2 >= 1 /\ Ar_6 >= 1 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(Fresh_3, Fresh_4, Fresh_5, 0, Ar_6)) [ Fresh_4 >= 0 /\ 1 >= Fresh_4 /\ Fresh_3 >= 0 /\ 1 >= Fresh_3 /\ Fresh_5 >= 0 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 >= 3 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(0, Fresh_6, Ar_2, Ar_3 + 1, Ar_6)) [ Fresh_6 >= 0 /\ 1 >= Fresh_6 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 2 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(1, Fresh_7, Ar_2, Ar_3 + 1, Ar_6)) [ Fresh_7 >= 0 /\ 1 >= Fresh_7 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 1 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(0, Fresh_8, Ar_2, Ar_3 + 1, Ar_6)) [ Fresh_8 >= 0 /\ 1 >= Fresh_8 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ 0 >= Ar_3 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(0, 0, Fresh_9, 0, Fresh_10)) [ Fresh_9 >= 0 /\ Fresh_10 >= 1 ] (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(Ar_0, Ar_0, Ar_2, Ar_3, Ar_6)) [ Ar_0 = Ar_1 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 1 Pol(f0) = 1 Pol(f11) = 1 Pol(f53) = 0 Pol(f38) = 1 Pol(f34) = 1 orients all transitions weakly and the transition f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f53(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6)) [ 0 >= Ar_6 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f53(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6)) [ 0 >= Ar_6 ] (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6 - 1)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6 - 1)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_6)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Fresh_0, 0, Ar_6)) [ Fresh_0 >= 0 /\ 0 >= Ar_2 /\ Ar_3 >= 3 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_6)) [ 0 >= Ar_1 /\ 0 >= Ar_2 /\ Ar_3 = 2 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_6)) [ Ar_1 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 1 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_6)) [ 0 >= Ar_1 /\ 0 >= Ar_2 /\ 0 >= Ar_3 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(Fresh_1, Fresh_2, Ar_2 - 1, Ar_3, Ar_6)) [ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ 1 >= Fresh_1 /\ Ar_2 >= 1 /\ Ar_6 >= 1 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(Fresh_3, Fresh_4, Fresh_5, 0, Ar_6)) [ Fresh_4 >= 0 /\ 1 >= Fresh_4 /\ Fresh_3 >= 0 /\ 1 >= Fresh_3 /\ Fresh_5 >= 0 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 >= 3 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(0, Fresh_6, Ar_2, Ar_3 + 1, Ar_6)) [ Fresh_6 >= 0 /\ 1 >= Fresh_6 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 2 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(1, Fresh_7, Ar_2, Ar_3 + 1, Ar_6)) [ Fresh_7 >= 0 /\ 1 >= Fresh_7 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 1 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(0, Fresh_8, Ar_2, Ar_3 + 1, Ar_6)) [ Fresh_8 >= 0 /\ 1 >= Fresh_8 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ 0 >= Ar_3 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(0, 0, Fresh_9, 0, Fresh_10)) [ Fresh_9 >= 0 /\ Fresh_10 >= 1 ] (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(Ar_0, Ar_0, Ar_2, Ar_3, Ar_6)) [ Ar_0 = Ar_1 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 4 to obtain the following invariants: For symbol f11: X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol f34: X_5 - 1 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ -X_2 + X_5 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ -X_1 + X_5 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 + 1 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ -X_2 + X_3 + 1 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ -X_2 + 1 >= 0 /\ X_1 - X_2 + 1 >= 0 /\ -X_1 - X_2 + 2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 + 1 >= 0 /\ -X_1 + 1 >= 0 /\ X_1 >= 0 For symbol f38: X_5 - 1 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ -X_2 + X_5 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ -X_1 + X_5 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 + 1 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ -X_2 + X_3 + 1 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ -X_2 + 1 >= 0 /\ X_1 - X_2 + 1 >= 0 /\ -X_1 - X_2 + 2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 + 1 >= 0 /\ -X_1 + 1 >= 0 /\ X_1 >= 0 This yielded the following problem: 5: T: (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(Ar_0, Ar_0, Ar_2, Ar_3, Ar_6)) [ Ar_6 - 1 >= 0 /\ Ar_3 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 1 >= 0 /\ Ar_1 + Ar_6 - 1 >= 0 /\ -Ar_1 + Ar_6 >= 0 /\ Ar_0 + Ar_6 - 1 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 + 1 >= 0 /\ -Ar_0 - Ar_1 + 2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 = Ar_1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(0, 0, Fresh_9, 0, Fresh_10)) [ Fresh_9 >= 0 /\ Fresh_10 >= 1 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(0, Fresh_8, Ar_2, Ar_3 + 1, Ar_6)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 >= 0 /\ 1 >= Fresh_8 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ 0 >= Ar_3 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(1, Fresh_7, Ar_2, Ar_3 + 1, Ar_6)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Fresh_7 >= 0 /\ 1 >= Fresh_7 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 1 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(0, Fresh_6, Ar_2, Ar_3 + 1, Ar_6)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Fresh_6 >= 0 /\ 1 >= Fresh_6 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 2 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(Fresh_3, Fresh_4, Fresh_5, 0, Ar_6)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Fresh_4 >= 0 /\ 1 >= Fresh_4 /\ Fresh_3 >= 0 /\ 1 >= Fresh_3 /\ Fresh_5 >= 0 /\ Ar_6 >= 1 /\ 0 >= Ar_2 /\ Ar_3 >= 3 ] (Comp: ?, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f34(Fresh_1, Fresh_2, Ar_2 - 1, Ar_3, Ar_6)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ 1 >= Fresh_1 /\ Ar_2 >= 1 /\ Ar_6 >= 1 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_6)) [ Ar_6 - 1 >= 0 /\ Ar_3 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 1 >= 0 /\ Ar_1 + Ar_6 - 1 >= 0 /\ -Ar_1 + Ar_6 >= 0 /\ Ar_0 + Ar_6 - 1 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 + 1 >= 0 /\ -Ar_0 - Ar_1 + 2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ 0 >= Ar_2 /\ 0 >= Ar_3 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_6)) [ Ar_6 - 1 >= 0 /\ Ar_3 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 1 >= 0 /\ Ar_1 + Ar_6 - 1 >= 0 /\ -Ar_1 + Ar_6 >= 0 /\ Ar_0 + Ar_6 - 1 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 + 1 >= 0 /\ -Ar_0 - Ar_1 + 2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ 0 >= Ar_2 /\ Ar_3 = 1 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_6)) [ Ar_6 - 1 >= 0 /\ Ar_3 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 1 >= 0 /\ Ar_1 + Ar_6 - 1 >= 0 /\ -Ar_1 + Ar_6 >= 0 /\ Ar_0 + Ar_6 - 1 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 + 1 >= 0 /\ -Ar_0 - Ar_1 + 2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ 0 >= Ar_2 /\ Ar_3 = 2 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Fresh_0, 0, Ar_6)) [ Ar_6 - 1 >= 0 /\ Ar_3 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 1 >= 0 /\ Ar_1 + Ar_6 - 1 >= 0 /\ -Ar_1 + Ar_6 >= 0 /\ Ar_0 + Ar_6 - 1 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 + 1 >= 0 /\ -Ar_0 - Ar_1 + 2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Fresh_0 >= 0 /\ 0 >= Ar_2 /\ Ar_3 >= 3 ] (Comp: ?, Cost: 1) f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f38(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_6)) [ Ar_6 - 1 >= 0 /\ Ar_3 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 1 >= 0 /\ Ar_1 + Ar_6 - 1 >= 0 /\ -Ar_1 + Ar_6 >= 0 /\ Ar_0 + Ar_6 - 1 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 + 1 >= 0 /\ -Ar_0 - Ar_1 + 2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6 - 1)) [ Ar_6 - 1 >= 0 /\ Ar_3 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 1 >= 0 /\ Ar_1 + Ar_6 - 1 >= 0 /\ -Ar_1 + Ar_6 >= 0 /\ Ar_0 + Ar_6 - 1 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 + 1 >= 0 /\ -Ar_0 - Ar_1 + 2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6 - 1)) [ Ar_6 - 1 >= 0 /\ Ar_3 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 1 >= 0 /\ Ar_1 + Ar_6 - 1 >= 0 /\ -Ar_1 + Ar_6 >= 0 /\ Ar_0 + Ar_6 - 1 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 + 1 >= 0 /\ -Ar_0 - Ar_1 + 2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 + 1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f53(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_6 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_6)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound ? Time: 12.694 sec (SMT: 12.200 sec)