/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^6)) proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^6). (0) CpxIntTrs (1) Koat Proof [FINISHED, 189 ms] (2) BOUNDS(1, n^6) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_textbook_ex3_start(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb0_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m)) :|: TRUE eval_textbook_ex3_bb0_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb1_in(1, v_j.0, v_k.0, v_l.0, v_m)) :|: TRUE eval_textbook_ex3_bb1_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb2_in(v_i.0, 1, v_k.0, v_l.0, v_m)) :|: v_i.0 <= v_m eval_textbook_ex3_bb1_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb8_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m)) :|: v_i.0 > v_m eval_textbook_ex3_bb2_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb3_in(v_i.0, v_j.0, v_i.0 + 1, v_l.0, v_m)) :|: v_j.0 <= v_i.0 eval_textbook_ex3_bb2_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb1_in(v_i.0 + 1, v_j.0, v_k.0, v_l.0, v_m)) :|: v_j.0 > v_i.0 eval_textbook_ex3_bb3_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb4_in(v_i.0, v_j.0, v_k.0, 1, v_m)) :|: v_k.0 <= v_m eval_textbook_ex3_bb3_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb7_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m)) :|: v_k.0 > v_m eval_textbook_ex3_bb4_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb5_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m)) :|: v_l.0 <= v_k.0 eval_textbook_ex3_bb4_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb6_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m)) :|: v_l.0 > v_k.0 eval_textbook_ex3_bb5_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb4_in(v_i.0, v_j.0, v_k.0, v_l.0 + 1, v_m)) :|: TRUE eval_textbook_ex3_bb6_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb3_in(v_i.0, v_j.0, v_k.0 + 1, v_l.0, v_m)) :|: TRUE eval_textbook_ex3_bb7_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb2_in(v_i.0, v_j.0 + 1, v_k.0, v_l.0, v_m)) :|: TRUE eval_textbook_ex3_bb8_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_stop(v_i.0, v_j.0, v_k.0, v_l.0, v_m)) :|: TRUE The start-symbols are:[eval_textbook_ex3_start_5] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 134*Ar_1 + 464*Ar_1^2 + 692*Ar_1^3 + 472*Ar_1^4 + 16*Ar_1^6 + 144*Ar_1^5 + 6) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: ?, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] (Comp: ?, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: ?, Cost: 1) evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 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) evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: ?, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] (Comp: ?, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: ?, Cost: 1) evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evaltextbookex3start) = 2 Pol(evaltextbookex3bb0in) = 2 Pol(evaltextbookex3bb1in) = 2 Pol(evaltextbookex3bb2in) = 2 Pol(evaltextbookex3bb8in) = 1 Pol(evaltextbookex3bb3in) = 2 Pol(evaltextbookex3bb4in) = 2 Pol(evaltextbookex3bb7in) = 2 Pol(evaltextbookex3bb5in) = 2 Pol(evaltextbookex3bb6in) = 2 Pol(evaltextbookex3stop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ] (Comp: 2, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: ?, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] (Comp: ?, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: ?, Cost: 1) evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evaltextbookex3start) = V_2 Pol(evaltextbookex3bb0in) = V_2 Pol(evaltextbookex3bb1in) = -V_1 + V_2 + 1 Pol(evaltextbookex3bb2in) = -V_1 + V_2 Pol(evaltextbookex3bb8in) = -V_1 + V_2 + 1 Pol(evaltextbookex3bb3in) = -V_1 + V_2 Pol(evaltextbookex3bb4in) = -V_1 + V_2 Pol(evaltextbookex3bb7in) = -V_1 + V_2 Pol(evaltextbookex3bb5in) = -V_1 + V_2 Pol(evaltextbookex3bb6in) = -V_1 + V_2 Pol(evaltextbookex3stop) = -V_1 + V_2 + 1 Pol(koat_start) = V_2 orients all transitions weakly and the transition evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 1) evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: Ar_1, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ] (Comp: 2, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: ?, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] (Comp: ?, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: ?, Cost: 1) evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evaltextbookex3bb7in) = 1 Pol(evaltextbookex3bb2in) = 1 Pol(evaltextbookex3bb6in) = 1 Pol(evaltextbookex3bb3in) = 1 Pol(evaltextbookex3bb5in) = 1 Pol(evaltextbookex3bb4in) = 1 Pol(evaltextbookex3bb1in) = 0 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = ? S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = Ar_1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = Ar_1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-0) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-2) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-3) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-4) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-0) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-1) = Ar_1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-2) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-3) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-4) = 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = Ar_1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-4) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-0) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-1) = Ar_1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-2) = 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-3) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-4) = ? S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = 1 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] weakly and the transition evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 1) evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: Ar_1, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ] (Comp: 2, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_1, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] (Comp: ?, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: ?, Cost: 1) evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evaltextbookex3bb7in) = V_1 - V_3 Pol(evaltextbookex3bb2in) = V_1 - V_3 + 1 Pol(evaltextbookex3bb6in) = V_1 - V_3 Pol(evaltextbookex3bb3in) = V_1 - V_3 Pol(evaltextbookex3bb5in) = V_1 - V_3 Pol(evaltextbookex3bb4in) = V_1 - V_3 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 + 2 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = Ar_1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = Ar_1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-2) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-3) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-4) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-1) = Ar_1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-2) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-3) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-4) = 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = Ar_1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = Ar_1 + 2 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = Ar_1 + 2 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-4) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-1) = Ar_1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-2) = 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-3) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-4) = ? S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = 1 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] weakly and the transition evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 1) evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: Ar_1, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ] (Comp: 2, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] (Comp: Ar_1^2 + 3*Ar_1, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_1, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] (Comp: ?, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: ?, Cost: 1) evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evaltextbookex3bb7in) = 1 Pol(evaltextbookex3bb2in) = 0 Pol(evaltextbookex3bb6in) = 2 Pol(evaltextbookex3bb3in) = 2 Pol(evaltextbookex3bb5in) = 2 Pol(evaltextbookex3bb4in) = 2 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 + 2 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = Ar_1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = Ar_1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-2) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-3) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-4) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-1) = Ar_1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-2) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-3) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-4) = 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = Ar_1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = Ar_1 + 2 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = Ar_1 + 2 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-4) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-1) = Ar_1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-2) = 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-3) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-4) = ? S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = 1 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] weakly and the transitions evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 1) evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: Ar_1, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ] (Comp: 2, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] (Comp: Ar_1^2 + 3*Ar_1, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_1, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] (Comp: 2*Ar_1^2 + 6*Ar_1, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: 2*Ar_1^2 + 6*Ar_1, Cost: 1) evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evaltextbookex3bb6in) = V_2 - V_4 Pol(evaltextbookex3bb3in) = V_2 - V_4 + 1 Pol(evaltextbookex3bb5in) = V_2 - V_4 Pol(evaltextbookex3bb4in) = V_2 - V_4 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 + 2 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 + 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = Ar_1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = Ar_1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-3) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-4) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-1) = Ar_1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-3) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-4) = 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = Ar_1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = Ar_1 + 2 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = Ar_1 + 2 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = Ar_2 + 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-4) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-1) = Ar_1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-2) = 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-3) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-4) = ? S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = 1 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] weakly and the transition evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] strictly and produces the following problem: 8: T: (Comp: 1, Cost: 1) evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: Ar_1, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ] (Comp: 2, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] (Comp: Ar_1^2 + 3*Ar_1, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_1, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: 2*Ar_1^3 + 9*Ar_1^2 + 9*Ar_1, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] (Comp: 2*Ar_1^2 + 6*Ar_1, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: ?, Cost: 1) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: 2*Ar_1^2 + 6*Ar_1, Cost: 1) evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evaltextbookex3bb6in) = 1 Pol(evaltextbookex3bb3in) = 0 Pol(evaltextbookex3bb5in) = 2 Pol(evaltextbookex3bb4in) = 2 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 + 2 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 + 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = Ar_1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = Ar_1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-3) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-4) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-1) = Ar_1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-3) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-4) = 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = Ar_1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = Ar_1 + 2 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = Ar_1 + 2 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = Ar_2 + 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-4) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-1) = Ar_1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-2) = 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-3) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-4) = ? S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = 1 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] weakly and the transitions evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] strictly and produces the following problem: 9: T: (Comp: 1, Cost: 1) evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: Ar_1, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ] (Comp: 2, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] (Comp: Ar_1^2 + 3*Ar_1, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_1, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: 2*Ar_1^3 + 9*Ar_1^2 + 9*Ar_1, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] (Comp: 2*Ar_1^2 + 6*Ar_1, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: 4*Ar_1^3 + 18*Ar_1^2 + 18*Ar_1, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: 4*Ar_1^3 + 18*Ar_1^2 + 18*Ar_1, Cost: 1) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: 2*Ar_1^2 + 6*Ar_1, Cost: 1) evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evaltextbookex3bb5in) = V_4 - V_5 Pol(evaltextbookex3bb4in) = V_4 - V_5 + 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_1 + 2 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 + 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 + 19*Ar_1 + 4*Ar_1^3 + 18*Ar_1^2 + 2 S("evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = 19*Ar_1 + 4*Ar_1^3 + 18*Ar_1^2 + 2 S("evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-3) = 19*Ar_1 + 4*Ar_1^3 + 18*Ar_1^2 + 2 S("evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4))", 0-4) = ? S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-0) = Ar_1 + 1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-1) = Ar_1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-3) = 19*Ar_1 + 4*Ar_1^3 + 18*Ar_1^2 + 2 S("evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1))", 0-4) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-3) = 19*Ar_1 + 4*Ar_1^3 + 18*Ar_1^2 + 2 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ]", 0-4) = ? S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-1) = Ar_1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-3) = 19*Ar_1 + 4*Ar_1^3 + 18*Ar_1^2 + 2 S("evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ]", 0-4) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-3) = 19*Ar_1 + 4*Ar_1^3 + 18*Ar_1^2 + 2 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ]", 0-4) = ? S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-1) = Ar_1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-3) = 19*Ar_1 + 4*Ar_1^3 + 18*Ar_1^2 + 2 S("evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ]", 0-4) = 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-3) = Ar_3 + 19*Ar_1 + 4*Ar_1^3 + 18*Ar_1^2 + 2 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ]", 0-4) = ? S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-1) = Ar_1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-2) = 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-3) = Ar_1 + 2 S("evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ]", 0-4) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = Ar_1 + 2 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = Ar_1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = Ar_2 + 2*Ar_1^2 + 6*Ar_1 + 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = Ar_3 + 19*Ar_1 + 4*Ar_1^3 + 18*Ar_1^2 + 2 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ]", 0-4) = ? S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-0) = Ar_1 + 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-1) = Ar_1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-2) = 1 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-3) = Ar_3 + 19*Ar_1 + 4*Ar_1^3 + 18*Ar_1^2 + 2 S("evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ]", 0-4) = ? S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = 1 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] weakly and the transition evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] strictly and produces the following problem: 10: T: (Comp: 1, Cost: 1) evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: Ar_1, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ] (Comp: 2, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] (Comp: Ar_1^2 + 3*Ar_1, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_1, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: 2*Ar_1^3 + 9*Ar_1^2 + 9*Ar_1, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] (Comp: 2*Ar_1^2 + 6*Ar_1, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] (Comp: 236*Ar_1^4 + 341*Ar_1^3 + 207*Ar_1^2 + 8*Ar_1^6 + 72*Ar_1^5 + 36*Ar_1, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: 4*Ar_1^3 + 18*Ar_1^2 + 18*Ar_1, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: 4*Ar_1^3 + 18*Ar_1^2 + 18*Ar_1, Cost: 1) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: 2*Ar_1^2 + 6*Ar_1, Cost: 1) evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 10 produces the following problem: 11: T: (Comp: 1, Cost: 1) evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evaltextbookex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: Ar_1, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, 1, Ar_3, Ar_4)) [ Ar_1 >= Ar_0 ] (Comp: 2, Cost: 1) evaltextbookex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 1 ] (Comp: Ar_1^2 + 3*Ar_1, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_0 + 1, Ar_4)) [ Ar_0 >= Ar_2 ] (Comp: Ar_1, Cost: 1) evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb1in(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 + 1 ] (Comp: 2*Ar_1^3 + 9*Ar_1^2 + 9*Ar_1, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, 1)) [ Ar_1 >= Ar_3 ] (Comp: 2*Ar_1^2 + 6*Ar_1, Cost: 1) evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_1 + 1 ] (Comp: 236*Ar_1^4 + 341*Ar_1^3 + 207*Ar_1^2 + 8*Ar_1^6 + 72*Ar_1^5 + 36*Ar_1, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 ] (Comp: 4*Ar_1^3 + 18*Ar_1^2 + 18*Ar_1, Cost: 1) evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 + 1 ] (Comp: 236*Ar_1^4 + 341*Ar_1^3 + 207*Ar_1^2 + 8*Ar_1^6 + 72*Ar_1^5 + 36*Ar_1, Cost: 1) evaltextbookex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1)) (Comp: 4*Ar_1^3 + 18*Ar_1^2 + 18*Ar_1, Cost: 1) evaltextbookex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4)) (Comp: 2*Ar_1^2 + 6*Ar_1, Cost: 1) evaltextbookex3bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3bb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evaltextbookex3bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evaltextbookex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 134*Ar_1 + 464*Ar_1^2 + 692*Ar_1^3 + 472*Ar_1^4 + 16*Ar_1^6 + 144*Ar_1^5 + 6 Time: 0.219 sec (SMT: 0.150 sec) ---------------------------------------- (2) BOUNDS(1, n^6)