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) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, 1, 0, 1, Fresh_12, 0, Fresh_13, Fresh_14, Fresh_15, Ar_9)) [ Fresh_15 >= 0 /\ Fresh_14 >= Fresh_15 /\ Fresh_14 >= 0 /\ Fresh_13 >= Fresh_14 /\ Fresh_12 >= 0 /\ Fresh_13 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f25(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_5 /\ 0 >= Ar_4 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_11, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ Ar_5 >= 2 /\ 0 >= Ar_4 /\ 1 >= Fresh_11 /\ Fresh_11 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f25(1, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_2 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f25(0, Ar_1, 0, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ Ar_3 >= 1 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_9, Ar_1 + 1, 0, Ar_1 + 1, Fresh_10, 0, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ Fresh_9 >= 0 /\ 1 >= Fresh_9 /\ Ar_2 >= 2 /\ Fresh_10 >= 0 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_7, Ar_1 + 1, 0, Ar_1 + 1, Fresh_8, 0, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_3 /\ Fresh_7 >= 0 /\ 1 >= Fresh_7 /\ Fresh_8 >= 0 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_6, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ Ar_4 >= 1 /\ 1 >= Fresh_6 /\ Fresh_6 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7, Ar_8, 0)) [ Ar_0 >= 1 /\ 0 >= Ar_5 /\ 0 >= Ar_4 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Fresh_5)) [ Ar_0 >= 1 /\ Ar_5 >= 2 /\ 0 >= Ar_4 /\ 1 >= Fresh_5 /\ Fresh_5 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, 1)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_2 /\ Ar_5 = 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) -> Com_1(f50(Ar_0, Ar_1, 0, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, 0)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ Ar_3 >= 1 /\ Ar_5 = 1 /\ Ar_2 = 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) -> Com_1(f50(Ar_0, Ar_1 + 1, 0, Ar_1 + 1, Fresh_3, 0, Ar_6, Ar_7, Ar_8, Fresh_4)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ Fresh_4 >= 0 /\ 1 >= Fresh_4 /\ Ar_2 >= 2 /\ Fresh_3 >= 0 /\ Ar_5 = 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) -> Com_1(f50(Ar_0, Ar_1 + 1, 0, Ar_1 + 1, Fresh_1, 0, Ar_6, Ar_7, Ar_8, Fresh_2)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_3 /\ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ Ar_5 = 1 /\ Ar_2 = 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) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_5, Ar_6, Ar_7, Ar_8, Fresh_0)) [ Ar_0 >= 1 /\ Ar_4 >= 1 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= Ar_7 /\ Ar_9 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8 + 1, Ar_9)) [ Ar_7 >= Ar_8 + 1 /\ Ar_9 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8 - 1, Ar_9)) [ 0 >= Ar_9 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(f73(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_8 ] (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) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 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_4, Ar_5, Ar_7, Ar_8, Ar_9]. We thus obtain the following problem: 2: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f73(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_8 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8 - 1, Ar_9)) [ 0 >= Ar_9 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8 + 1, Ar_9)) [ Ar_7 >= Ar_8 + 1 /\ Ar_9 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= Ar_7 /\ Ar_9 >= 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_5, Ar_7, Ar_8, Fresh_0)) [ Ar_0 >= 1 /\ Ar_4 >= 1 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1 + 1, 0, Ar_1 + 1, Fresh_1, 0, Ar_7, Ar_8, Fresh_2)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_3 /\ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1 + 1, 0, Ar_1 + 1, Fresh_3, 0, Ar_7, Ar_8, Fresh_4)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ Fresh_4 >= 0 /\ 1 >= Fresh_4 /\ Ar_2 >= 2 /\ Fresh_3 >= 0 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, 0, Ar_3 - 1, Ar_4, Ar_5, Ar_7, Ar_8, 0)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ Ar_3 >= 1 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, 1)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_2 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Fresh_5)) [ Ar_0 >= 1 /\ Ar_5 >= 2 /\ 0 >= Ar_4 /\ 1 >= Fresh_5 /\ Fresh_5 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_7, Ar_8, 0)) [ Ar_0 >= 1 /\ 0 >= Ar_5 /\ 0 >= Ar_4 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_6, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ Ar_4 >= 1 /\ 1 >= Fresh_6 /\ Fresh_6 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_7, Ar_1 + 1, 0, Ar_1 + 1, Fresh_8, 0, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_3 /\ Fresh_7 >= 0 /\ 1 >= Fresh_7 /\ Fresh_8 >= 0 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_9, Ar_1 + 1, 0, Ar_1 + 1, Fresh_10, 0, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ Fresh_9 >= 0 /\ 1 >= Fresh_9 /\ Ar_2 >= 2 /\ Fresh_10 >= 0 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(0, Ar_1, 0, Ar_3 - 1, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ Ar_3 >= 1 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(1, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_2 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_11, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ Ar_5 >= 2 /\ 0 >= Ar_4 /\ 1 >= Fresh_11 /\ Fresh_11 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_5 /\ 0 >= Ar_4 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, 1, 0, 1, Fresh_12, 0, Fresh_14, Fresh_15, Ar_9)) [ Fresh_15 >= 0 /\ Fresh_14 >= Fresh_15 /\ Fresh_14 >= 0 /\ Fresh_13 >= Fresh_14 /\ Fresh_12 >= 0 /\ Fresh_13 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 2 produces the following problem: 3: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f73(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_8 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8 - 1, Ar_9)) [ 0 >= Ar_9 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8 + 1, Ar_9)) [ Ar_7 >= Ar_8 + 1 /\ Ar_9 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= Ar_7 /\ Ar_9 >= 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_5, Ar_7, Ar_8, Fresh_0)) [ Ar_0 >= 1 /\ Ar_4 >= 1 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1 + 1, 0, Ar_1 + 1, Fresh_1, 0, Ar_7, Ar_8, Fresh_2)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_3 /\ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1 + 1, 0, Ar_1 + 1, Fresh_3, 0, Ar_7, Ar_8, Fresh_4)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ Fresh_4 >= 0 /\ 1 >= Fresh_4 /\ Ar_2 >= 2 /\ Fresh_3 >= 0 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, 0, Ar_3 - 1, Ar_4, Ar_5, Ar_7, Ar_8, 0)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ Ar_3 >= 1 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, 1)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_2 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Fresh_5)) [ Ar_0 >= 1 /\ Ar_5 >= 2 /\ 0 >= Ar_4 /\ 1 >= Fresh_5 /\ Fresh_5 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_7, Ar_8, 0)) [ Ar_0 >= 1 /\ 0 >= Ar_5 /\ 0 >= Ar_4 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_6, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ Ar_4 >= 1 /\ 1 >= Fresh_6 /\ Fresh_6 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_7, Ar_1 + 1, 0, Ar_1 + 1, Fresh_8, 0, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_3 /\ Fresh_7 >= 0 /\ 1 >= Fresh_7 /\ Fresh_8 >= 0 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_9, Ar_1 + 1, 0, Ar_1 + 1, Fresh_10, 0, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ Fresh_9 >= 0 /\ 1 >= Fresh_9 /\ Ar_2 >= 2 /\ Fresh_10 >= 0 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(0, Ar_1, 0, Ar_3 - 1, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ Ar_3 >= 1 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(1, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_2 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_11, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ Ar_5 >= 2 /\ 0 >= Ar_4 /\ 1 >= Fresh_11 /\ Fresh_11 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_5 /\ 0 >= Ar_4 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, 1, 0, 1, Fresh_12, 0, Fresh_14, Fresh_15, Ar_9)) [ Fresh_15 >= 0 /\ Fresh_14 >= Fresh_15 /\ Fresh_14 >= 0 /\ Fresh_13 >= Fresh_14 /\ Fresh_12 >= 0 /\ Fresh_13 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 1 Pol(f0) = 1 Pol(f16) = 1 Pol(f73) = 0 Pol(f50) = 1 Pol(f25) = 1 orients all transitions weakly and the transition f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f73(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_8 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f73(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_8 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8 - 1, Ar_9)) [ 0 >= Ar_9 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8 + 1, Ar_9)) [ Ar_7 >= Ar_8 + 1 /\ Ar_9 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= Ar_7 /\ Ar_9 >= 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_5, Ar_7, Ar_8, Fresh_0)) [ Ar_0 >= 1 /\ Ar_4 >= 1 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1 + 1, 0, Ar_1 + 1, Fresh_1, 0, Ar_7, Ar_8, Fresh_2)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_3 /\ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1 + 1, 0, Ar_1 + 1, Fresh_3, 0, Ar_7, Ar_8, Fresh_4)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ Fresh_4 >= 0 /\ 1 >= Fresh_4 /\ Ar_2 >= 2 /\ Fresh_3 >= 0 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, 0, Ar_3 - 1, Ar_4, Ar_5, Ar_7, Ar_8, 0)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ Ar_3 >= 1 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, 1)) [ Ar_0 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_2 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Fresh_5)) [ Ar_0 >= 1 /\ Ar_5 >= 2 /\ 0 >= Ar_4 /\ 1 >= Fresh_5 /\ Fresh_5 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_7, Ar_8, 0)) [ Ar_0 >= 1 /\ 0 >= Ar_5 /\ 0 >= Ar_4 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_6, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ Ar_4 >= 1 /\ 1 >= Fresh_6 /\ Fresh_6 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_7, Ar_1 + 1, 0, Ar_1 + 1, Fresh_8, 0, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_3 /\ Fresh_7 >= 0 /\ 1 >= Fresh_7 /\ Fresh_8 >= 0 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_9, Ar_1 + 1, 0, Ar_1 + 1, Fresh_10, 0, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ Fresh_9 >= 0 /\ 1 >= Fresh_9 /\ Ar_2 >= 2 /\ Fresh_10 >= 0 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(0, Ar_1, 0, Ar_3 - 1, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ Ar_3 >= 1 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(1, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_2 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_11, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ Ar_5 >= 2 /\ 0 >= Ar_4 /\ 1 >= Fresh_11 /\ Fresh_11 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_7, Ar_8, Ar_9)) [ Ar_8 >= 1 /\ 0 >= Ar_5 /\ 0 >= Ar_4 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, 1, 0, 1, Fresh_12, 0, Fresh_14, Fresh_15, Ar_9)) [ Fresh_15 >= 0 /\ Fresh_14 >= Fresh_15 /\ Fresh_14 >= 0 /\ Fresh_13 >= Fresh_14 /\ Fresh_12 >= 0 /\ Fresh_13 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 4 to obtain the following invariants: For symbol f16: X_7 - X_8 >= 0 /\ X_8 >= 0 /\ X_7 + X_8 >= 0 /\ X_6 + X_8 >= 0 /\ X_5 + X_8 >= 0 /\ X_3 + X_8 >= 0 /\ X_2 + X_8 - 1 >= 0 /\ X_7 >= 0 /\ X_6 + X_7 >= 0 /\ -X_6 + X_7 >= 0 /\ X_5 + X_7 >= 0 /\ X_4 + X_7 - 1 >= 0 /\ X_3 + X_7 >= 0 /\ -X_3 + X_7 >= 0 /\ X_2 + X_7 - 1 >= 0 /\ X_6 >= 0 /\ X_5 + X_6 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 >= 0 /\ -X_3 + X_6 >= 0 /\ X_2 + X_6 - 1 >= 0 /\ X_5 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 For symbol f25: X_7 - X_8 >= 0 /\ X_8 - 1 >= 0 /\ X_7 + X_8 - 2 >= 0 /\ X_6 + X_8 - 1 >= 0 /\ X_5 + X_8 - 1 >= 0 /\ X_3 + X_8 - 1 >= 0 /\ X_2 + X_8 - 2 >= 0 /\ X_1 + X_8 - 1 >= 0 /\ -X_1 + X_8 >= 0 /\ X_7 - 1 >= 0 /\ X_6 + X_7 - 1 >= 0 /\ -X_6 + X_7 >= 0 /\ X_5 + X_7 - 1 >= 0 /\ X_4 + X_7 - 1 >= 0 /\ X_3 + X_7 - 1 >= 0 /\ -X_3 + X_7 >= 0 /\ X_2 + X_7 - 2 >= 0 /\ X_1 + X_7 - 1 >= 0 /\ -X_1 + X_7 >= 0 /\ X_6 >= 0 /\ X_5 + X_6 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 >= 0 /\ -X_3 + X_6 >= 0 /\ X_2 + X_6 - 1 >= 0 /\ X_1 + X_6 >= 0 /\ -X_1 + X_6 + 1 >= 0 /\ X_5 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ X_2 - X_4 >= 0 /\ 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 >= 0 /\ -X_1 + 1 >= 0 /\ X_1 >= 0 For symbol f50: -X_9 + 1 >= 0 /\ X_8 - X_9 >= 0 /\ X_7 - X_9 >= 0 /\ X_6 - X_9 + 1 >= 0 /\ X_5 - X_9 + 1 >= 0 /\ X_3 - X_9 + 1 >= 0 /\ X_2 - X_9 >= 0 /\ X_1 - X_9 >= 0 /\ -X_1 - X_9 + 2 >= 0 /\ X_9 >= 0 /\ X_8 + X_9 - 1 >= 0 /\ X_7 + X_9 - 1 >= 0 /\ X_6 + X_9 >= 0 /\ X_5 + X_9 >= 0 /\ X_3 + X_9 >= 0 /\ X_2 + X_9 - 1 >= 0 /\ X_1 + X_9 - 1 >= 0 /\ -X_1 + X_9 + 1 >= 0 /\ X_7 - X_8 >= 0 /\ X_8 - 1 >= 0 /\ X_7 + X_8 - 2 >= 0 /\ X_6 + X_8 - 1 >= 0 /\ X_5 + X_8 - 1 >= 0 /\ X_3 + X_8 - 1 >= 0 /\ X_2 + X_8 - 2 >= 0 /\ X_1 + X_8 - 2 >= 0 /\ -X_1 + X_8 >= 0 /\ X_7 - 1 >= 0 /\ X_6 + X_7 - 1 >= 0 /\ -X_6 + X_7 >= 0 /\ X_5 + X_7 - 1 >= 0 /\ X_4 + X_7 - 1 >= 0 /\ X_3 + X_7 - 1 >= 0 /\ -X_3 + X_7 >= 0 /\ X_2 + X_7 - 2 >= 0 /\ X_1 + X_7 - 2 >= 0 /\ -X_1 + X_7 >= 0 /\ X_6 >= 0 /\ X_5 + X_6 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 >= 0 /\ -X_3 + X_6 >= 0 /\ X_2 + X_6 - 1 >= 0 /\ X_1 + X_6 - 1 >= 0 /\ -X_1 + X_6 + 1 >= 0 /\ X_5 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ -X_1 + 1 >= 0 /\ X_1 - 1 >= 0 This yielded the following problem: 5: T: (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_0 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, 1, 0, 1, Fresh_12, 0, Fresh_14, Fresh_15, Ar_9)) [ Fresh_15 >= 0 /\ Fresh_14 >= Fresh_15 /\ Fresh_14 >= 0 /\ Fresh_13 >= Fresh_14 /\ Fresh_12 >= 0 /\ Fresh_13 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ 0 >= Ar_5 /\ 0 >= Ar_4 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_11, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ Ar_5 >= 2 /\ 0 >= Ar_4 /\ 1 >= Fresh_11 /\ Fresh_11 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(1, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_2 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(0, Ar_1, 0, Ar_3 - 1, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ 0 >= Ar_4 /\ Ar_3 >= 1 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_9, Ar_1 + 1, 0, Ar_1 + 1, Fresh_10, 0, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ 0 >= Ar_4 /\ Fresh_9 >= 0 /\ 1 >= Fresh_9 /\ Ar_2 >= 2 /\ Fresh_10 >= 0 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_7, Ar_1 + 1, 0, Ar_1 + 1, Fresh_8, 0, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_3 /\ Fresh_7 >= 0 /\ 1 >= Fresh_7 /\ Fresh_8 >= 0 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_6, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ Ar_4 >= 1 /\ 1 >= Fresh_6 /\ Fresh_6 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_7, Ar_8, 0)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ 0 >= Ar_5 /\ 0 >= Ar_4 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Fresh_5)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ Ar_5 >= 2 /\ 0 >= Ar_4 /\ 1 >= Fresh_5 /\ Fresh_5 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, 1)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_2 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, 0, Ar_3 - 1, Ar_4, Ar_5, Ar_7, Ar_8, 0)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ 0 >= Ar_4 /\ Ar_3 >= 1 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1 + 1, 0, Ar_1 + 1, Fresh_3, 0, Ar_7, Ar_8, Fresh_4)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ 0 >= Ar_4 /\ Fresh_4 >= 0 /\ 1 >= Fresh_4 /\ Ar_2 >= 2 /\ Fresh_3 >= 0 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1 + 1, 0, Ar_1 + 1, Fresh_1, 0, Ar_7, Ar_8, Fresh_2)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_3 /\ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_5, Ar_7, Ar_8, Fresh_0)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ Ar_4 >= 1 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ -Ar_9 + 1 >= 0 /\ Ar_8 - Ar_9 >= 0 /\ Ar_7 - Ar_9 >= 0 /\ Ar_5 - Ar_9 + 1 >= 0 /\ Ar_4 - Ar_9 + 1 >= 0 /\ Ar_2 - Ar_9 + 1 >= 0 /\ Ar_1 - Ar_9 >= 0 /\ Ar_0 - Ar_9 >= 0 /\ -Ar_0 - Ar_9 + 2 >= 0 /\ Ar_9 >= 0 /\ Ar_8 + Ar_9 - 1 >= 0 /\ Ar_7 + Ar_9 - 1 >= 0 /\ Ar_5 + Ar_9 >= 0 /\ Ar_4 + Ar_9 >= 0 /\ Ar_2 + Ar_9 >= 0 /\ Ar_1 + Ar_9 - 1 >= 0 /\ Ar_0 + Ar_9 - 1 >= 0 /\ -Ar_0 + Ar_9 + 1 >= 0 /\ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 2 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 2 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_8 >= Ar_7 /\ Ar_9 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8 + 1, Ar_9)) [ -Ar_9 + 1 >= 0 /\ Ar_8 - Ar_9 >= 0 /\ Ar_7 - Ar_9 >= 0 /\ Ar_5 - Ar_9 + 1 >= 0 /\ Ar_4 - Ar_9 + 1 >= 0 /\ Ar_2 - Ar_9 + 1 >= 0 /\ Ar_1 - Ar_9 >= 0 /\ Ar_0 - Ar_9 >= 0 /\ -Ar_0 - Ar_9 + 2 >= 0 /\ Ar_9 >= 0 /\ Ar_8 + Ar_9 - 1 >= 0 /\ Ar_7 + Ar_9 - 1 >= 0 /\ Ar_5 + Ar_9 >= 0 /\ Ar_4 + Ar_9 >= 0 /\ Ar_2 + Ar_9 >= 0 /\ Ar_1 + Ar_9 - 1 >= 0 /\ Ar_0 + Ar_9 - 1 >= 0 /\ -Ar_0 + Ar_9 + 1 >= 0 /\ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 2 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 2 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_7 >= Ar_8 + 1 /\ Ar_9 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8 - 1, Ar_9)) [ -Ar_9 + 1 >= 0 /\ Ar_8 - Ar_9 >= 0 /\ Ar_7 - Ar_9 >= 0 /\ Ar_5 - Ar_9 + 1 >= 0 /\ Ar_4 - Ar_9 + 1 >= 0 /\ Ar_2 - Ar_9 + 1 >= 0 /\ Ar_1 - Ar_9 >= 0 /\ Ar_0 - Ar_9 >= 0 /\ -Ar_0 - Ar_9 + 2 >= 0 /\ Ar_9 >= 0 /\ Ar_8 + Ar_9 - 1 >= 0 /\ Ar_7 + Ar_9 - 1 >= 0 /\ Ar_5 + Ar_9 >= 0 /\ Ar_4 + Ar_9 >= 0 /\ Ar_2 + Ar_9 >= 0 /\ Ar_1 + Ar_9 - 1 >= 0 /\ Ar_0 + Ar_9 - 1 >= 0 /\ -Ar_0 + Ar_9 + 1 >= 0 /\ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 2 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 2 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_9 ] (Comp: 1, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f73(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ 0 >= Ar_8 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Testing for unsatisfiable constraints removes the following transitions from problem 5: f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_9, Ar_1 + 1, 0, Ar_1 + 1, Fresh_10, 0, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ 0 >= Ar_4 /\ Fresh_9 >= 0 /\ 1 >= Fresh_9 /\ Ar_2 >= 2 /\ Fresh_10 >= 0 /\ Ar_5 = 1 ] f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1 + 1, 0, Ar_1 + 1, Fresh_3, 0, Ar_7, Ar_8, Fresh_4)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ 0 >= Ar_4 /\ Fresh_4 >= 0 /\ 1 >= Fresh_4 /\ Ar_2 >= 2 /\ Fresh_3 >= 0 /\ Ar_5 = 1 ] We thus obtain the following problem: 6: T: (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_0 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, 1, 0, 1, Fresh_12, 0, Fresh_14, Fresh_15, Ar_9)) [ Fresh_15 >= 0 /\ Fresh_14 >= Fresh_15 /\ Fresh_14 >= 0 /\ Fresh_13 >= Fresh_14 /\ Fresh_12 >= 0 /\ Fresh_13 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ 0 >= Ar_5 /\ 0 >= Ar_4 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_11, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ Ar_5 >= 2 /\ 0 >= Ar_4 /\ 1 >= Fresh_11 /\ Fresh_11 >= 0 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(1, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_2 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(0, Ar_1, 0, Ar_3 - 1, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ 0 >= Ar_4 /\ Ar_3 >= 1 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_7, Ar_1 + 1, 0, Ar_1 + 1, Fresh_8, 0, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_3 /\ Fresh_7 >= 0 /\ 1 >= Fresh_7 /\ Fresh_8 >= 0 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f25(Fresh_6, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_8 >= 1 /\ Ar_4 >= 1 /\ 1 >= Fresh_6 /\ Fresh_6 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_7, Ar_8, 0)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ 0 >= Ar_5 /\ 0 >= Ar_4 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Fresh_5)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ Ar_5 >= 2 /\ 0 >= Ar_4 /\ 1 >= Fresh_5 /\ Fresh_5 >= 0 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, 1)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_2 /\ Ar_5 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, 0, Ar_3 - 1, Ar_4, Ar_5, Ar_7, Ar_8, 0)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ 0 >= Ar_4 /\ Ar_3 >= 1 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1 + 1, 0, Ar_1 + 1, Fresh_1, 0, Ar_7, Ar_8, Fresh_2)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ 0 >= Ar_4 /\ 0 >= Ar_3 /\ Fresh_2 >= 0 /\ 1 >= Fresh_2 /\ Fresh_1 >= 0 /\ Ar_5 = 1 /\ Ar_2 = 1 ] (Comp: ?, Cost: 1) f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_5, Ar_7, Ar_8, Fresh_0)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 1 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 1 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ 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 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 1 /\ Ar_4 >= 1 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ -Ar_9 + 1 >= 0 /\ Ar_8 - Ar_9 >= 0 /\ Ar_7 - Ar_9 >= 0 /\ Ar_5 - Ar_9 + 1 >= 0 /\ Ar_4 - Ar_9 + 1 >= 0 /\ Ar_2 - Ar_9 + 1 >= 0 /\ Ar_1 - Ar_9 >= 0 /\ Ar_0 - Ar_9 >= 0 /\ -Ar_0 - Ar_9 + 2 >= 0 /\ Ar_9 >= 0 /\ Ar_8 + Ar_9 - 1 >= 0 /\ Ar_7 + Ar_9 - 1 >= 0 /\ Ar_5 + Ar_9 >= 0 /\ Ar_4 + Ar_9 >= 0 /\ Ar_2 + Ar_9 >= 0 /\ Ar_1 + Ar_9 - 1 >= 0 /\ Ar_0 + Ar_9 - 1 >= 0 /\ -Ar_0 + Ar_9 + 1 >= 0 /\ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 2 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 2 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_8 >= Ar_7 /\ Ar_9 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8 + 1, Ar_9)) [ -Ar_9 + 1 >= 0 /\ Ar_8 - Ar_9 >= 0 /\ Ar_7 - Ar_9 >= 0 /\ Ar_5 - Ar_9 + 1 >= 0 /\ Ar_4 - Ar_9 + 1 >= 0 /\ Ar_2 - Ar_9 + 1 >= 0 /\ Ar_1 - Ar_9 >= 0 /\ Ar_0 - Ar_9 >= 0 /\ -Ar_0 - Ar_9 + 2 >= 0 /\ Ar_9 >= 0 /\ Ar_8 + Ar_9 - 1 >= 0 /\ Ar_7 + Ar_9 - 1 >= 0 /\ Ar_5 + Ar_9 >= 0 /\ Ar_4 + Ar_9 >= 0 /\ Ar_2 + Ar_9 >= 0 /\ Ar_1 + Ar_9 - 1 >= 0 /\ Ar_0 + Ar_9 - 1 >= 0 /\ -Ar_0 + Ar_9 + 1 >= 0 /\ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 2 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 2 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_7 >= Ar_8 + 1 /\ Ar_9 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8 - 1, Ar_9)) [ -Ar_9 + 1 >= 0 /\ Ar_8 - Ar_9 >= 0 /\ Ar_7 - Ar_9 >= 0 /\ Ar_5 - Ar_9 + 1 >= 0 /\ Ar_4 - Ar_9 + 1 >= 0 /\ Ar_2 - Ar_9 + 1 >= 0 /\ Ar_1 - Ar_9 >= 0 /\ Ar_0 - Ar_9 >= 0 /\ -Ar_0 - Ar_9 + 2 >= 0 /\ Ar_9 >= 0 /\ Ar_8 + Ar_9 - 1 >= 0 /\ Ar_7 + Ar_9 - 1 >= 0 /\ Ar_5 + Ar_9 >= 0 /\ Ar_4 + Ar_9 >= 0 /\ Ar_2 + Ar_9 >= 0 /\ Ar_1 + Ar_9 - 1 >= 0 /\ Ar_0 + Ar_9 - 1 >= 0 /\ -Ar_0 + Ar_9 + 1 >= 0 /\ Ar_7 - Ar_8 >= 0 /\ Ar_8 - 1 >= 0 /\ Ar_7 + Ar_8 - 2 >= 0 /\ Ar_5 + Ar_8 - 1 >= 0 /\ Ar_4 + Ar_8 - 1 >= 0 /\ Ar_2 + Ar_8 - 1 >= 0 /\ Ar_1 + Ar_8 - 2 >= 0 /\ Ar_0 + Ar_8 - 2 >= 0 /\ -Ar_0 + Ar_8 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_5 + Ar_7 - 1 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 1 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 2 >= 0 /\ Ar_0 + Ar_7 - 2 >= 0 /\ -Ar_0 + Ar_7 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ -Ar_0 + Ar_5 + 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_9 ] (Comp: 1, Cost: 1) f16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f73(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ Ar_7 - Ar_8 >= 0 /\ Ar_8 >= 0 /\ Ar_7 + Ar_8 >= 0 /\ Ar_5 + Ar_8 >= 0 /\ Ar_4 + Ar_8 >= 0 /\ Ar_2 + Ar_8 >= 0 /\ Ar_1 + Ar_8 - 1 >= 0 /\ Ar_7 >= 0 /\ Ar_5 + Ar_7 >= 0 /\ -Ar_5 + Ar_7 >= 0 /\ Ar_4 + Ar_7 >= 0 /\ Ar_3 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 >= 0 /\ -Ar_2 + Ar_7 >= 0 /\ Ar_1 + Ar_7 - 1 >= 0 /\ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ -Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ 0 >= Ar_8 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8, Ar_9)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound ? Time: 22.219 sec (SMT: 20.736 sec)