/export/starexec/sandbox2/solver/bin/starexec_run_c_complexity /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^2)) proof of /export/starexec/sandbox2/output/output_files/bench.koat # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). (0) CpxIntTrs (1) Koat Proof [FINISHED, 83 ms] (2) BOUNDS(1, n^2) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_local_alloc_start(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb0_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: TRUE eval_local_alloc_bb0_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb1_in(0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_max_qty)) :|: TRUE eval_local_alloc_bb1_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb2_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: v_b.0 < v_n_basic_blocks eval_local_alloc_bb1_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb6_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: v_b.0 >= v_n_basic_blocks eval_local_alloc_bb2_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb3_in(v_b.0, 0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: v_next_qty.0 < v_limit eval_local_alloc_bb2_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb5_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: v_next_qty.0 >= v_limit eval_local_alloc_bb3_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb4_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: v_i.0 < v_next_qty.0 eval_local_alloc_bb3_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb5_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: v_i.0 >= v_next_qty.0 eval_local_alloc_bb4_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb3_in(v_b.0, v_i.0 + 1, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: TRUE eval_local_alloc_bb5_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb1_in(v_b.0 + 1, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, 0)) :|: TRUE eval_local_alloc_bb6_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_stop(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: TRUE The start-symbols are:[eval_local_alloc_start_6] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 9*Ar_3 + 2*Ar_2*Ar_3 + 2*Ar_2 + 15) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ] (Comp: ?, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ] (Comp: ?, Cost: 1) evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) (Comp: ?, Cost: 1) evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ] (Comp: ?, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ] (Comp: ?, Cost: 1) evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) (Comp: ?, Cost: 1) evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evallocalallocstart) = 2 Pol(evallocalallocbb0in) = 2 Pol(evallocalallocbb1in) = 2 Pol(evallocalallocbb2in) = 2 Pol(evallocalallocbb6in) = 1 Pol(evallocalallocbb3in) = 2 Pol(evallocalallocbb5in) = 2 Pol(evallocalallocbb4in) = 2 Pol(evallocalallocstop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ] (Comp: ?, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ] (Comp: ?, Cost: 1) evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) (Comp: ?, Cost: 1) evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 2, Cost: 1) evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evallocalallocstart) = V_4 + 1 Pol(evallocalallocbb0in) = V_4 + 1 Pol(evallocalallocbb1in) = -V_1 + V_4 + 1 Pol(evallocalallocbb2in) = -V_1 + V_4 Pol(evallocalallocbb6in) = -V_1 + V_4 Pol(evallocalallocbb3in) = -V_1 + V_4 Pol(evallocalallocbb5in) = -V_1 + V_4 Pol(evallocalallocbb4in) = -V_1 + V_4 Pol(evallocalallocstop) = -V_1 + V_4 Pol(koat_start) = V_4 + 1 orients all transitions weakly and the transition evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 1) evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: Ar_3 + 1, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ] (Comp: ?, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ] (Comp: ?, Cost: 1) evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) (Comp: ?, Cost: 1) evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 2, Cost: 1) evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 4 produces the following problem: 5: T: (Comp: 1, Cost: 1) evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: Ar_3 + 1, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ] (Comp: Ar_3 + 1, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ] (Comp: Ar_3 + 1, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ] (Comp: ?, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ] (Comp: ?, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ] (Comp: ?, Cost: 1) evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) (Comp: ?, Cost: 1) evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 2, Cost: 1) evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evallocalallocbb5in) = 1 Pol(evallocalallocbb1in) = 0 Pol(evallocalallocbb4in) = 2 Pol(evallocalallocbb3in) = 2 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-4) = Ar_4 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-5) = Ar_5 S("evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-0) = ? S("evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-1) = Ar_2 S("evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-2) = Ar_2 S("evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-3) = Ar_3 S("evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-4) = Ar_4 S("evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-5) = ? S("evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5))", 0-0) = ? S("evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5))", 0-1) = 0 S("evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5))", 0-2) = Ar_2 S("evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5))", 0-3) = Ar_3 S("evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5))", 0-4) = Ar_4 S("evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5))", 0-5) = ? S("evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1))", 0-0) = ? S("evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1))", 0-1) = Ar_2 S("evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1))", 0-2) = Ar_2 S("evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1))", 0-3) = Ar_3 S("evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1))", 0-4) = Ar_4 S("evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1))", 0-5) = ? S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ]", 0-0) = ? S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ]", 0-1) = Ar_2 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ]", 0-2) = Ar_2 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ]", 0-3) = Ar_3 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ]", 0-4) = Ar_4 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ]", 0-5) = ? S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ]", 0-0) = ? S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ]", 0-1) = Ar_2 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ]", 0-2) = Ar_2 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ]", 0-3) = Ar_3 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ]", 0-4) = Ar_4 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ]", 0-5) = ? S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ]", 0-0) = ? S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ]", 0-1) = Ar_2 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ]", 0-2) = Ar_2 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ]", 0-3) = Ar_3 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ]", 0-4) = Ar_4 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ]", 0-5) = ? S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ]", 0-0) = ? S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ]", 0-1) = Ar_2 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ]", 0-2) = Ar_2 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ]", 0-3) = Ar_3 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ]", 0-4) = Ar_4 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ]", 0-5) = 0 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ]", 0-0) = ? S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ]", 0-1) = Ar_2 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ]", 0-2) = Ar_2 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ]", 0-3) = Ar_3 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ]", 0-4) = Ar_4 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ]", 0-5) = ? S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ]", 0-0) = ? S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ]", 0-1) = Ar_2 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ]", 0-2) = Ar_2 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ]", 0-3) = Ar_3 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ]", 0-4) = Ar_4 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ]", 0-5) = ? S("evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5))", 0-0) = 0 S("evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5))", 0-1) = Ar_2 S("evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5))", 0-2) = Ar_2 S("evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5))", 0-3) = Ar_3 S("evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5))", 0-4) = Ar_4 S("evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5))", 0-5) = Ar_5 S("evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-0) = Ar_0 S("evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-1) = Ar_1 S("evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-2) = Ar_2 S("evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-3) = Ar_3 S("evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-4) = Ar_4 S("evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-5) = Ar_5 orients the transitions evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5)) evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ] evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ] weakly and the transitions evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5)) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 1) evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: Ar_3 + 1, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ] (Comp: Ar_3 + 1, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ] (Comp: Ar_3 + 1, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ] (Comp: ?, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ] (Comp: 3*Ar_3 + 3, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ] (Comp: ?, Cost: 1) evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) (Comp: 3*Ar_3 + 3, Cost: 1) evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 2, Cost: 1) evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evallocalallocbb4in) = V_2 - V_6 - 1 Pol(evallocalallocbb3in) = V_2 - V_6 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-4) = Ar_4 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-5) = Ar_5 S("evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-0) = 3*Ar_3 + 243 S("evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-1) = Ar_2 S("evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-2) = Ar_2 S("evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-3) = Ar_3 S("evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-4) = Ar_4 S("evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-5) = ? S("evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5))", 0-0) = 3*Ar_3 + 27 S("evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5))", 0-1) = 0 S("evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5))", 0-2) = Ar_2 S("evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5))", 0-3) = Ar_3 S("evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5))", 0-4) = Ar_4 S("evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5))", 0-5) = ? S("evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1))", 0-0) = 3*Ar_3 + 27 S("evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1))", 0-1) = Ar_2 S("evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1))", 0-2) = Ar_2 S("evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1))", 0-3) = Ar_3 S("evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1))", 0-4) = Ar_4 S("evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1))", 0-5) = ? S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ]", 0-0) = 3*Ar_3 + 27 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ]", 0-1) = Ar_2 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ]", 0-2) = Ar_2 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ]", 0-3) = Ar_3 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ]", 0-4) = Ar_4 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ]", 0-5) = ? S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ]", 0-0) = 3*Ar_3 + 27 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ]", 0-1) = Ar_2 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ]", 0-2) = Ar_2 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ]", 0-3) = Ar_3 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ]", 0-4) = Ar_4 S("evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ]", 0-5) = ? S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ]", 0-0) = 3*Ar_3 + 27 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ]", 0-1) = Ar_2 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ]", 0-2) = Ar_2 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ]", 0-3) = Ar_3 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ]", 0-4) = Ar_4 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ]", 0-5) = ? S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ]", 0-0) = 3*Ar_3 + 27 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ]", 0-1) = Ar_2 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ]", 0-2) = Ar_2 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ]", 0-3) = Ar_3 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ]", 0-4) = Ar_4 S("evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ]", 0-5) = 0 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ]", 0-0) = 3*Ar_3 + 81 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ]", 0-1) = Ar_2 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ]", 0-2) = Ar_2 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ]", 0-3) = Ar_3 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ]", 0-4) = Ar_4 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ]", 0-5) = ? S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ]", 0-0) = 3*Ar_3 + 27 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ]", 0-1) = Ar_2 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ]", 0-2) = Ar_2 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ]", 0-3) = Ar_3 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ]", 0-4) = Ar_4 S("evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ]", 0-5) = ? S("evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5))", 0-0) = 0 S("evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5))", 0-1) = Ar_2 S("evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5))", 0-2) = Ar_2 S("evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5))", 0-3) = Ar_3 S("evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5))", 0-4) = Ar_4 S("evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5))", 0-5) = Ar_5 S("evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-0) = Ar_0 S("evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-1) = Ar_1 S("evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-2) = Ar_2 S("evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-3) = Ar_3 S("evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-4) = Ar_4 S("evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))", 0-5) = Ar_5 orients the transitions evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ] weakly and the transition evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 1) evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: Ar_3 + 1, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ] (Comp: Ar_3 + 1, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ] (Comp: Ar_3 + 1, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ] (Comp: Ar_2*Ar_3 + Ar_2, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ] (Comp: 3*Ar_3 + 3, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ] (Comp: ?, Cost: 1) evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) (Comp: 3*Ar_3 + 3, Cost: 1) evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 2, Cost: 1) evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 7 produces the following problem: 8: T: (Comp: 1, Cost: 1) evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) evallocalallocbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(0, Ar_2, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: Ar_3 + 1, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evallocalallocbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_3 ] (Comp: Ar_3 + 1, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0)) [ Ar_4 >= Ar_1 + 1 ] (Comp: Ar_3 + 1, Cost: 1) evallocalallocbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_4 ] (Comp: Ar_2*Ar_3 + Ar_2, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 + 1 ] (Comp: 3*Ar_3 + 3, Cost: 1) evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_1 ] (Comp: Ar_2*Ar_3 + Ar_2, Cost: 1) evallocalallocbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) (Comp: 3*Ar_3 + 3, Cost: 1) evallocalallocbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocbb1in(Ar_0 + 1, 0, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 2, Cost: 1) evallocalallocbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evallocalallocstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 9*Ar_3 + 2*Ar_2*Ar_3 + 2*Ar_2 + 15 Time: 0.127 sec (SMT: 0.092 sec) ---------------------------------------- (2) BOUNDS(1, n^2)