MAYBE Initial complexity problem: 1: T: (Comp: ?, Cost: 1) f25(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, 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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f25(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Fresh_26, 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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_1 >= Ar_0 ] (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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) (Comp: ?, Cost: 1) f33(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f36(Ar_0, Ar_1, 1, Ar_3, Ar_4, Ar_5, 0, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) (Comp: ?, Cost: 1) f36(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Fresh_22, Fresh_23, Fresh_24, Fresh_25, Fresh_25, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_7 >= Ar_2 ] (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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f46(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_12, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ 0 >= Ar_12 + 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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f46(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_12, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_12 >= 1 ] (Comp: ?, Cost: 1) f46(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, 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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_0 >= Ar_1 + 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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, 0, 0, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_12 = 0 ] (Comp: ?, Cost: 1) f61(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f61(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) (Comp: ?, Cost: 1) f63(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f65(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) (Comp: ?, Cost: 1) f46(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Fresh_20, 0, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Fresh_21, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f46(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Fresh_16, Fresh_17, Fresh_18, Fresh_18, Ar_13, Ar_14, Fresh_19, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f36(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f61(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, 0, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_2 >= Ar_7 + 1 ] (Comp: ?, Cost: 1) f15(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f25(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, Fresh_13, Fresh_14, Fresh_15, Fresh_15, Fresh_15, Ar_23)) [ 0 >= Fresh_15 + 1 /\ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f25(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, Fresh_10, Fresh_11, Fresh_12, Fresh_12, Fresh_12, Ar_23)) [ Fresh_12 >= 1 /\ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, 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, Fresh_8, Fresh_9, 0, 0, 0, Ar_23)) [ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ Ar_2 >= Ar_17 ] (Comp: ?, Cost: 1) f0(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f15(Ar_0, Ar_1, 0, Ar_3, Ar_4, Ar_5, 0, Fresh_6, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, 0, Fresh_7, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, 1)) (Comp: ?, Cost: 1) f0(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f36(Ar_0, Ar_1, 1, Ar_3, Ar_4, Ar_5, 0, Fresh_3, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, 0, Fresh_4, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Fresh_5)) [ 0 >= Fresh_5 ] (Comp: ?, Cost: 1) f0(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f36(Ar_0, Ar_1, 1, Ar_3, Ar_4, Ar_5, 0, Fresh_0, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, 0, Fresh_1, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Fresh_2)) [ Fresh_2 >= 2 ] (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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23) -> Com_1(f0(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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23)) [ 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_7, Ar_12, Ar_17]. We thus obtain the following problem: 2: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, 1, Fresh_0, Ar_12, Fresh_1)) [ Fresh_2 >= 2 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, 1, Fresh_3, Ar_12, Fresh_4)) [ 0 >= Fresh_5 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, 0, Fresh_6, Ar_12, Fresh_7)) (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= Ar_17 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Fresh_12 >= 1 /\ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ 0 >= Fresh_15 + 1 /\ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f36(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= Ar_7 + 1 ] (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_7, Fresh_18, Ar_17)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f63(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f65(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) (Comp: ?, Cost: 1) f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, 0, Ar_17)) [ Ar_12 = 0 ] (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_12 >= 1 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ 0 >= Ar_12 + 1 ] (Comp: ?, Cost: 1) f36(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_7, Fresh_25, Ar_17)) [ Ar_7 >= Ar_2 ] (Comp: ?, Cost: 1) f33(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, 1, Ar_7, Ar_12, Ar_17)) (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_0 >= Ar_1 + 1 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transitions from problem 2: f63(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f65(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) f33(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, 1, Ar_7, Ar_12, Ar_17)) We thus obtain the following problem: 3: T: (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_7, Fresh_18, Ar_17)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ 0 >= Ar_12 + 1 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_12 >= 1 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, 0, Ar_17)) [ Ar_12 = 0 ] (Comp: ?, Cost: 1) f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ 0 >= Fresh_15 + 1 /\ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Fresh_12 >= 1 /\ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= Ar_17 ] (Comp: ?, Cost: 1) f36(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_7, Fresh_25, Ar_17)) [ Ar_7 >= Ar_2 ] (Comp: ?, Cost: 1) f36(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= Ar_7 + 1 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, 0, Fresh_6, Ar_12, Fresh_7)) (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, 1, Fresh_3, Ar_12, Fresh_4)) [ 0 >= Fresh_5 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, 1, Fresh_0, Ar_12, Fresh_1)) [ Fresh_2 >= 2 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 3 produces the following problem: 4: T: (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_7, Fresh_18, Ar_17)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ 0 >= Ar_12 + 1 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_12 >= 1 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, 0, Ar_17)) [ Ar_12 = 0 ] (Comp: ?, Cost: 1) f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ 0 >= Fresh_15 + 1 /\ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Fresh_12 >= 1 /\ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= Ar_17 ] (Comp: ?, Cost: 1) f36(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_7, Fresh_25, Ar_17)) [ Ar_7 >= Ar_2 ] (Comp: ?, Cost: 1) f36(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= Ar_7 + 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, 0, Fresh_6, Ar_12, Fresh_7)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, 1, Fresh_3, Ar_12, Fresh_4)) [ 0 >= Fresh_5 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, 1, Fresh_0, Ar_12, Fresh_1)) [ Fresh_2 >= 2 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f46) = 1 Pol(f36) = 1 Pol(f45) = 1 Pol(f61) = 0 Pol(f25) = 1 Pol(f15) = 1 Pol(f31) = 0 Pol(f0) = 1 Pol(koat_start) = 1 orients all transitions weakly and the transitions f36(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= Ar_7 + 1 ] f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= Ar_17 ] strictly and produces the following problem: 5: T: (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_7, Fresh_18, Ar_17)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ 0 >= Ar_12 + 1 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_12 >= 1 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, 0, Ar_17)) [ Ar_12 = 0 ] (Comp: ?, Cost: 1) f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ 0 >= Fresh_15 + 1 /\ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Fresh_12 >= 1 /\ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_17 >= Ar_2 + 1 ] (Comp: 1, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= Ar_17 ] (Comp: ?, Cost: 1) f36(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_7, Fresh_25, Ar_17)) [ Ar_7 >= Ar_2 ] (Comp: 1, Cost: 1) f36(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= Ar_7 + 1 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, 0, Fresh_6, Ar_12, Fresh_7)) (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, 1, Fresh_3, Ar_12, Fresh_4)) [ 0 >= Fresh_5 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, 1, Fresh_0, Ar_12, Fresh_1)) [ Fresh_2 >= 2 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 5 to obtain the following invariants: For symbol f15: X_3 >= 0 For symbol f25: X_6 - 1 >= 0 /\ X_3 + X_6 - 1 >= 0 /\ -X_3 + X_6 - 1 >= 0 /\ X_3 >= 0 For symbol f31: X_3 - X_6 >= 0 /\ X_3 >= 0 For symbol f36: X_3 - 1 >= 0 For symbol f45: X_4 - 1 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ -X_3 + X_4 >= 0 /\ X_3 - 1 >= 0 For symbol f46: X_4 - 1 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ -X_3 + X_4 >= 0 /\ X_3 - 1 >= 0 For symbol f61: X_3 - X_4 - 1 >= 0 /\ X_3 - 1 >= 0 This yielded the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, 1, Fresh_0, Ar_12, Fresh_1)) [ Fresh_2 >= 2 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, 1, Fresh_3, Ar_12, Fresh_4)) [ 0 >= Fresh_5 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, 0, Fresh_6, Ar_12, Fresh_7)) (Comp: 1, Cost: 1) f36(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_7 + 1 ] (Comp: ?, Cost: 1) f36(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_7, Fresh_25, Ar_17)) [ Ar_2 - 1 >= 0 /\ Ar_7 >= Ar_2 ] (Comp: 1, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= 0 /\ Ar_2 >= Ar_17 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= 0 /\ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= 0 /\ Fresh_12 >= 1 /\ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f15(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 >= 0 /\ 0 >= Fresh_15 + 1 /\ Ar_17 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 - Ar_17 >= 0 /\ Ar_2 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_17 - 1 >= 0 /\ Ar_2 + Ar_17 - 1 >= 0 /\ -Ar_2 + Ar_17 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f15(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_17 - 1 >= 0 /\ Ar_2 + Ar_17 - 1 >= 0 /\ -Ar_2 + Ar_17 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f61(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_2 - Ar_7 - 1 >= 0 /\ Ar_2 - 1 >= 0 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, 0, Ar_17)) [ Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 2 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_12 = 0 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 2 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_12 >= 1 ] (Comp: ?, Cost: 1) f45(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17)) [ Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 2 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_12 + 1 ] (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f45(Ar_0, Ar_1, Ar_2, Ar_7, Fresh_18, Ar_17)) [ Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 2 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 2 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) f46(Ar_0, Ar_1, Ar_2, Ar_7, Ar_12, Ar_17) -> Com_1(f36(Ar_0, Ar_1, Ar_2 + 1, Ar_7, Ar_12, Ar_17)) [ Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 2 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 >= Ar_1 + 1 ] start location: koat_start leaf cost: 0 Complexity upper bound ? Time: 6.162 sec (SMT: 5.826 sec)