MAYBE Initial complexity problem: 1: T: (Comp: ?, Cost: 1) f2(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(f1(1, 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)) [ Ar_0 = 1 ] (Comp: ?, Cost: 1) f2(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(f13(Ar_0, 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 >= Ar_0 ] (Comp: ?, Cost: 1) f2(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(f13(Ar_0, 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)) [ Ar_0 >= 2 ] (Comp: ?, Cost: 1) f13(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(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_18, Fresh_19, 1, 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 ] (Comp: ?, Cost: 1) f20(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(f20(Ar_0, Ar_1, Ar_2, Fresh_16, Fresh_17, Ar_5 + 1, 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_1 >= Ar_5 ] (Comp: ?, Cost: 1) f31(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(f31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, 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_1 >= Ar_5 ] (Comp: ?, Cost: 1) f45(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(f45(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Fresh_13, Fresh_14, Fresh_15, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f60(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(f60(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10 - 1, Fresh_9, Fresh_10, Fresh_11, Fresh_12, Ar_10, Ar_16, Ar_17)) [ Ar_9 >= Ar_5 ] (Comp: ?, Cost: 1) f60(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(f13(Ar_0, Ar_1 + 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)) [ Ar_5 >= Ar_9 + 1 ] (Comp: ?, Cost: 1) f45(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(f60(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 1, Ar_6, Ar_7, Ar_8, Fresh_6, Ar_1, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Fresh_7, Fresh_8)) [ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(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(f1(Ar_0, Ar_1, Ar_0, 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)) [ Ar_5 >= Ar_1 + 1 /\ Ar_0 = Ar_2 ] (Comp: ?, Cost: 1) f31(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(f45(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 1, Fresh_3, Fresh_4, Fresh_5, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) [ Ar_0 >= Ar_2 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(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(f45(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 1, Fresh_0, Fresh_1, Fresh_2, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) [ Ar_2 >= Ar_0 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f20(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(f31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 1, 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 >= Ar_4 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f20(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(f31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 1, 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_4 >= 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f20(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(f31(Ar_0, Ar_1, Ar_2, Ar_3, 0, 1, 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_5 >= Ar_1 + 1 /\ Ar_4 = 0 ] (Comp: ?, Cost: 1) f13(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(f1(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)) [ Ar_1 >= Ar_0 + 1 ] (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(f2(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_9]. 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_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_4 = 0 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_0 = Ar_2 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ] (Comp: ?, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 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_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_4 = 0 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_0 = Ar_2 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 1 Pol(f2) = 1 Pol(f13) = 1 Pol(f1) = 0 Pol(f20) = 1 Pol(f31) = 1 Pol(f45) = 1 Pol(f60) = 1 orients all transitions weakly and the transition f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_0 = Ar_2 ] 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_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_4 = 0 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_0 = Ar_2 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 1 Pol(f2) = 1 Pol(f13) = 1 Pol(f1) = 0 Pol(f20) = 1 Pol(f31) = 1 Pol(f45) = 1 Pol(f60) = 1 orients all transitions weakly and the transition f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ] 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_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_4 = 0 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_0 = Ar_2 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f60) = 6*V_1 - 6*V_2 - 4 Pol(f13) = 6*V_1 - 6*V_2 + 1 Pol(f45) = 6*V_1 - 6*V_2 - 3 Pol(f31) = 6*V_1 - 6*V_2 - 2 Pol(f20) = 6*V_1 - 6*V_2 - 1 and size complexities S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ]", 0-0) = 1 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ]", 0-1) = Ar_1 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ]", 0-2) = Ar_2 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ]", 0-3) = Ar_4 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ]", 0-4) = Ar_5 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ]", 0-5) = Ar_9 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ]", 0-0) = Ar_0 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ]", 0-1) = 1 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ]", 0-2) = Ar_2 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ]", 0-3) = Ar_4 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ]", 0-4) = Ar_5 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ]", 0-5) = Ar_9 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ]", 0-0) = Ar_0 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ]", 0-1) = 1 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ]", 0-2) = Ar_2 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ]", 0-3) = Ar_4 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ]", 0-4) = Ar_5 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ]", 0-5) = Ar_9 S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ]", 0-0) = Ar_0 S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ]", 0-1) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ]", 0-2) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ]", 0-3) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ]", 0-4) = 1 S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ]", 0-5) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-0) = Ar_0 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-1) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-2) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-3) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-4) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-5) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-0) = Ar_0 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-1) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-2) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-3) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-4) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-5) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-0) = Ar_0 S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-1) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-2) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-3) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-4) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-5) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ]", 0-0) = Ar_0 S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ]", 0-1) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ]", 0-2) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ]", 0-3) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ]", 0-4) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ]", 0-5) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ]", 0-0) = Ar_0 S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ]", 0-1) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ]", 0-2) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ]", 0-3) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ]", 0-4) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ]", 0-5) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ]", 0-1) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ]", 0-2) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ]", 0-3) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ]", 0-4) = 1 S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ]", 0-5) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_0 = Ar_2 ]", 0-0) = Ar_0 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_0 = Ar_2 ]", 0-1) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_0 = Ar_2 ]", 0-2) = Ar_0 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_0 = Ar_2 ]", 0-3) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_0 = Ar_2 ]", 0-4) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_0 = Ar_2 ]", 0-5) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-1) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-2) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-3) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-4) = 1 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-5) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-1) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-2) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-3) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-4) = 1 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-5) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-1) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-2) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-3) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-4) = 1 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-5) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-1) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-2) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-3) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-4) = 1 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-5) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_4 = 0 ]", 0-0) = Ar_0 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_4 = 0 ]", 0-1) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_4 = 0 ]", 0-2) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_4 = 0 ]", 0-3) = 0 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_4 = 0 ]", 0-4) = 1 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_4 = 0 ]", 0-5) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ]", 0-0) = Ar_0 S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ]", 0-1) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ]", 0-2) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ]", 0-3) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ]", 0-4) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ]", 0-5) = ? S("koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ]", 0-3) = Ar_4 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ]", 0-4) = Ar_5 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ]", 0-5) = Ar_9 orients the transitions f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ] f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ] f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ] f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\ Ar_5 >= Ar_1 + 1 ] f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\ Ar_5 >= Ar_1 + 1 ] f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\ Ar_5 >= Ar_1 + 1 ] f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\ Ar_5 >= Ar_1 + 1 ] f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_4 = 0 ] f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ] weakly and the transition f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ] 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_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_4 = 0 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_0 = Ar_2 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: 6*Ar_0 + 7, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f60) = 1 Pol(f13) = 0 Pol(f45) = 2 Pol(f31) = 3 Pol(f20) = 4 and size complexities S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ]", 0-0) = 1 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ]", 0-1) = Ar_1 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ]", 0-2) = Ar_2 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ]", 0-3) = Ar_4 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ]", 0-4) = Ar_5 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ]", 0-5) = Ar_9 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ]", 0-0) = Ar_0 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ]", 0-1) = 1 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ]", 0-2) = Ar_2 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ]", 0-3) = Ar_4 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ]", 0-4) = Ar_5 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ]", 0-5) = Ar_9 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ]", 0-0) = Ar_0 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ]", 0-1) = 1 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ]", 0-2) = Ar_2 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ]", 0-3) = Ar_4 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ]", 0-4) = Ar_5 S("f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ]", 0-5) = Ar_9 S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ]", 0-0) = Ar_0 S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ]", 0-1) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ]", 0-2) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ]", 0-3) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ]", 0-4) = 1 S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ]", 0-5) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-0) = Ar_0 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-1) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-2) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-3) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-4) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-5) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-0) = Ar_0 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-1) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-2) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-3) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-4) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-5) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-0) = Ar_0 S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-1) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-2) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-3) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-4) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ]", 0-5) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ]", 0-0) = Ar_0 S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ]", 0-1) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ]", 0-2) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ]", 0-3) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ]", 0-4) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ]", 0-5) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ]", 0-0) = Ar_0 S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ]", 0-1) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ]", 0-2) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ]", 0-3) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ]", 0-4) = ? S("f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ]", 0-5) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ]", 0-1) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ]", 0-2) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ]", 0-3) = ? S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ]", 0-4) = 1 S("f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ]", 0-5) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_0 = Ar_2 ]", 0-0) = Ar_0 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_0 = Ar_2 ]", 0-1) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_0 = Ar_2 ]", 0-2) = Ar_0 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_0 = Ar_2 ]", 0-3) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_0 = Ar_2 ]", 0-4) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_0 = Ar_2 ]", 0-5) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-1) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-2) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-3) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-4) = 1 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-5) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-1) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-2) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-3) = ? S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-4) = 1 S("f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-5) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-1) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-2) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-3) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-4) = 1 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-5) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-1) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-2) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-3) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-4) = 1 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\\ Ar_5 >= Ar_1 + 1 ]", 0-5) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_4 = 0 ]", 0-0) = Ar_0 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_4 = 0 ]", 0-1) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_4 = 0 ]", 0-2) = ? S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_4 = 0 ]", 0-3) = 0 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_4 = 0 ]", 0-4) = 1 S("f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\\ Ar_4 = 0 ]", 0-5) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ]", 0-0) = Ar_0 S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ]", 0-1) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ]", 0-2) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ]", 0-3) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ]", 0-4) = ? S("f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ]", 0-5) = ? S("koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ]", 0-3) = Ar_4 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ]", 0-4) = Ar_5 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ]", 0-5) = Ar_9 orients the transitions f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ] f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ] f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ] f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\ Ar_5 >= Ar_1 + 1 ] f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\ Ar_5 >= Ar_1 + 1 ] f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\ Ar_5 >= Ar_1 + 1 ] f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\ Ar_5 >= Ar_1 + 1 ] f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_4 = 0 ] f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] weakly and the transitions f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ] f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ] f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\ Ar_5 >= Ar_1 + 1 ] f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\ Ar_5 >= Ar_1 + 1 ] f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\ Ar_5 >= Ar_1 + 1 ] f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\ Ar_5 >= Ar_1 + 1 ] f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_4 = 0 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 24*Ar_0 + 28, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_4 = 0 ] (Comp: 24*Ar_0 + 28, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_4 >= 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: 24*Ar_0 + 28, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ 0 >= Ar_4 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: 24*Ar_0 + 28, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_2 >= Ar_0 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: 24*Ar_0 + 28, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_0 >= Ar_2 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_1 + 1 /\ Ar_0 = Ar_2 ] (Comp: 24*Ar_0 + 28, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 >= Ar_1 + 1 ] (Comp: 24*Ar_0 + 28, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 >= Ar_9 + 1 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_9 >= Ar_5 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_1 >= Ar_5 ] (Comp: 6*Ar_0 + 7, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_0 >= Ar_1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 7 to obtain the following invariants: For symbol f13: X_2 - 1 >= 0 For symbol f20: X_5 - 1 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ X_2 - X_3 + 1 >= 0 /\ X_1 - X_3 + 1 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0 For symbol f31: X_5 - 1 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ X_2 - X_3 + 1 >= 0 /\ X_1 - X_3 + 1 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0 For symbol f45: X_5 - 1 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ X_2 - X_3 + 1 >= 0 /\ X_1 - X_3 + 1 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0 For symbol f60: X_5 - 1 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ X_2 - X_3 + 1 >= 0 /\ X_1 - X_3 + 1 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0 This yielded the following problem: 8: T: (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(1, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 = 1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 >= Ar_0 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_0 >= 2 ] (Comp: 6*Ar_0 + 7, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_1 + 1, Fresh_19, 1, Ar_9)) [ Ar_1 - 1 >= 0 /\ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Fresh_17, Ar_5 + 1, Ar_9)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 3 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 3 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 3 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_5 ] (Comp: ?, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5 + 1, Ar_9)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 3 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_9 >= Ar_5 ] (Comp: 24*Ar_0 + 28, Cost: 1) f60(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 3 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= Ar_9 + 1 ] (Comp: 24*Ar_0 + 28, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f60(Ar_0, Ar_1, Ar_2, Ar_4, 1, Fresh_6)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 3 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_0, Ar_4, Ar_5, Ar_9)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 3 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= Ar_1 + 1 /\ Ar_0 = Ar_2 ] (Comp: 24*Ar_0 + 28, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 3 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: 24*Ar_0 + 28, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 3 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_0 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: 24*Ar_0 + 28, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 3 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_4 + 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: 24*Ar_0 + 28, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_4, 1, Ar_9)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 3 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= 1 /\ Ar_5 >= Ar_1 + 1 ] (Comp: 24*Ar_0 + 28, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f31(Ar_0, Ar_1, Ar_2, 0, 1, Ar_9)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 3 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= Ar_1 + 1 /\ Ar_4 = 0 ] (Comp: 1, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ Ar_1 - 1 >= 0 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_9)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound ? Time: 5.637 sec (SMT: 5.286 sec)