3.11/2.01 WORST_CASE(?, O(n^2)) 3.11/2.02 proof of /export/starexec/sandbox2/output/output_files/bench.koat 3.11/2.02 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.11/2.02 3.11/2.02 3.11/2.02 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). 3.11/2.02 3.11/2.02 (0) CpxIntTrs 3.11/2.02 (1) Koat Proof [FINISHED, 785 ms] 3.11/2.02 (2) BOUNDS(1, n^2) 3.11/2.02 3.11/2.02 3.11/2.02 ---------------------------------------- 3.11/2.02 3.11/2.02 (0) 3.11/2.02 Obligation: 3.11/2.02 Complexity Int TRS consisting of the following rules: 3.11/2.02 eval_perfectg_start(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_bb0_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2)) :|: TRUE 3.11/2.02 eval_perfectg_bb0_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_bb2_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, nondef.0)) :|: v_x <= 1 3.11/2.02 eval_perfectg_bb0_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_bb1_in(v_2, v_x, v_x, v_y2.1, v_x, v_y3.2)) :|: v_x > 1 3.11/2.02 eval_perfectg_bb1_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_bb2_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.0)) :|: v_y1.0 - 1 >= 0 && v_y1.0 - 1 <= 0 3.11/2.02 eval_perfectg_bb1_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_bb3_in(v_y1.0 - 1, v_x, v_y1.0, v_x, v_y3.0, v_y3.2)) :|: v_y1.0 - 1 < 0 3.11/2.02 eval_perfectg_bb1_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_bb3_in(v_y1.0 - 1, v_x, v_y1.0, v_x, v_y3.0, v_y3.2)) :|: v_y1.0 - 1 > 0 3.11/2.02 eval_perfectg_bb2_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_stop(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2)) :|: v_y3.2 < 0 3.11/2.02 eval_perfectg_bb2_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_stop(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2)) :|: v_y3.2 > 0 3.11/2.02 eval_perfectg_bb2_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_stop(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2)) :|: v_y3.2 >= 0 && v_y3.2 <= 0 3.11/2.02 eval_perfectg_bb3_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_bb4_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2)) :|: v_y2.1 < v_2 3.11/2.02 eval_perfectg_bb3_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_bb5_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2)) :|: v_y2.1 >= v_2 3.11/2.02 eval_perfectg_bb4_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_bb1_in(v_2, v_x, v_2, v_y2.1, v_y3.0, v_y3.2)) :|: v_y2.1 < 0 3.11/2.02 eval_perfectg_bb4_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_bb1_in(v_2, v_x, v_2, v_y2.1, v_y3.0, v_y3.2)) :|: v_y2.1 > 0 3.11/2.02 eval_perfectg_bb4_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_bb1_in(v_2, v_x, v_2, v_y2.1, v_y3.0 - v_2, v_y3.2)) :|: v_y2.1 >= 0 && v_y2.1 <= 0 3.11/2.02 eval_perfectg_bb5_in(v_2, v_x, v_y1.0, v_y2.1, v_y3.0, v_y3.2) -> Com_1(eval_perfectg_bb3_in(v_2, v_x, v_y1.0, v_y2.1 - v_2, v_y3.0, v_y3.2)) :|: TRUE 3.11/2.02 3.11/2.02 The start-symbols are:[eval_perfectg_start_6] 3.11/2.02 3.11/2.02 3.11/2.02 ---------------------------------------- 3.11/2.02 3.11/2.02 (1) Koat Proof (FINISHED) 3.11/2.02 YES(?, 4*ar_0^2 + 9*ar_0 + 11) 3.11/2.02 3.11/2.02 3.11/2.02 3.11/2.02 Initial complexity problem: 3.11/2.02 3.11/2.02 1: T: 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_2 = 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ 0 >= ar_2 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_2 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_5 = 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 3.11/2.02 3.11/2.02 start location: koat_start 3.11/2.02 3.11/2.02 leaf cost: 0 3.11/2.02 3.11/2.02 3.11/2.02 3.11/2.02 Repeatedly propagating knowledge in problem 1 produces the following problem: 3.11/2.02 3.11/2.02 2: T: 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ] 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_2 = 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ 0 >= ar_2 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_2 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_5 = 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 3.11/2.02 3.11/2.02 start location: koat_start 3.11/2.02 3.11/2.02 leaf cost: 0 3.11/2.02 3.11/2.02 3.11/2.02 3.11/2.02 A polynomial rank function with 3.11/2.02 3.11/2.02 Pol(evalperfectgstart) = 2 3.11/2.02 3.11/2.02 Pol(evalperfectgbb0in) = 2 3.11/2.02 3.11/2.02 Pol(evalperfectgbb2in) = 1 3.11/2.02 3.11/2.02 Pol(evalperfectgbb1in) = 2 3.11/2.02 3.11/2.02 Pol(evalperfectgbb3in) = 2 3.11/2.02 3.11/2.02 Pol(evalperfectgstop) = 0 3.11/2.02 3.11/2.02 Pol(evalperfectgbb4in) = 2 3.11/2.02 3.11/2.02 Pol(evalperfectgbb5in) = 2 3.11/2.02 3.11/2.02 Pol(koat_start) = 2 3.11/2.02 3.11/2.02 orients all transitions weakly and the transitions 3.11/2.02 3.11/2.02 evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ] 3.11/2.02 3.11/2.02 evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ] 3.11/2.02 3.11/2.02 evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ] 3.11/2.02 3.11/2.02 evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_2 = 1 ] 3.11/2.02 3.11/2.02 strictly and produces the following problem: 3.11/2.02 3.11/2.02 3: T: 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ] 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_2 = 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ 0 >= ar_2 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_2 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_5 = 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 3.11/2.02 3.11/2.02 start location: koat_start 3.11/2.02 3.11/2.02 leaf cost: 0 3.11/2.02 3.11/2.02 3.11/2.02 3.11/2.02 A polynomial rank function with 3.11/2.02 3.11/2.02 Pol(evalperfectgbb5in) = V_5 3.11/2.02 3.11/2.02 Pol(evalperfectgbb3in) = V_5 3.11/2.02 3.11/2.02 Pol(evalperfectgbb4in) = V_5 3.11/2.02 3.11/2.02 Pol(evalperfectgbb1in) = V_3 3.11/2.02 3.11/2.02 and size complexities 3.11/2.02 3.11/2.02 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2 3.11/2.02 3.11/2.02 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3 3.11/2.02 3.11/2.02 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4 3.11/2.02 3.11/2.02 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5 3.11/2.02 3.11/2.02 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4))", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4))", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4))", 0-2) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4))", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4))", 0-4) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4))", 0-5) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_5 = 0 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_5 = 0 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_5 = 0 ]", 0-2) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_5 = 0 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_5 = 0 ]", 0-4) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_5 = 0 ]", 0-5) = 0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]", 0-2) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]", 0-4) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]", 0-5) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]", 0-2) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]", 0-4) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]", 0-5) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]", 0-2) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]", 0-4) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]", 0-5) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]", 0-2) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]", 0-4) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]", 0-5) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-1) = 0 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-2) = ar_2 + 1 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-4) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-5) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-1) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-2) = ar_2 + 1 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-4) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-5) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-1) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-2) = ar_2 + 1 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-4) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-5) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_2 >= 2 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_2 >= 2 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_2 >= 2 ]", 0-2) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_2 >= 2 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_2 >= 2 ]", 0-4) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_2 >= 2 ]", 0-5) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ 0 >= ar_2 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ 0 >= ar_2 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ 0 >= ar_2 ]", 0-2) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ 0 >= ar_2 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ 0 >= ar_2 ]", 0-4) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ 0 >= ar_2 ]", 0-5) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_2 = 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_2 = 1 ]", 0-1) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_2 = 1 ]", 0-2) = 1 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_2 = 1 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_2 = 1 ]", 0-4) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_2 = 1 ]", 0-5) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-2) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-3) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-4) = ar_4 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-5) = ar_5 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-1) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-2) = ar_2 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-3) = ar_3 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-4) = ar_4 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-5) = ar_5 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5 3.11/2.02 3.11/2.02 orients the transitions 3.11/2.02 3.11/2.02 evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) 3.11/2.02 3.11/2.02 evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_5 = 0 ] 3.11/2.02 3.11/2.02 evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ] 3.11/2.02 3.11/2.02 evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ] 3.11/2.02 3.11/2.02 evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_2 >= 2 ] 3.11/2.02 3.11/2.02 evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ 0 >= ar_2 ] 3.11/2.02 3.11/2.02 weakly and the transition 3.11/2.02 3.11/2.02 evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_2 >= 2 ] 3.11/2.02 3.11/2.02 strictly and produces the following problem: 3.11/2.02 3.11/2.02 4: T: 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ] 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_2 = 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ 0 >= ar_2 ] 3.11/2.02 3.11/2.02 (Comp: ar_0, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_2 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_5 = 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 3.11/2.02 3.11/2.02 start location: koat_start 3.11/2.02 3.11/2.02 leaf cost: 0 3.11/2.02 3.11/2.02 3.11/2.02 3.11/2.02 Applied AI with 'oct' on problem 4 to obtain the following invariants: 3.11/2.02 3.11/2.02 For symbol evalperfectgbb1in: X_1 - X_4 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - 2 >= 0 3.11/2.02 3.11/2.02 For symbol evalperfectgbb3in: X_1 - X_6 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ -X_3 + X_5 + 1 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ X_1 - X_4 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 2 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_1 - 2 >= 0 3.11/2.02 3.11/2.02 For symbol evalperfectgbb4in: X_5 - X_6 - 1 >= 0 /\ X_3 - X_6 - 2 >= 0 /\ X_1 - X_6 - 2 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ -X_3 + X_5 + 1 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ X_1 - X_4 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 2 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_1 - 2 >= 0 3.11/2.02 3.11/2.02 For symbol evalperfectgbb5in: X_1 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 + X_6 - 3 >= 0 /\ -X_3 + X_6 + 1 >= 0 /\ X_1 + X_6 - 3 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ -X_3 + X_5 + 1 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ X_1 - X_4 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 2 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_1 - 2 >= 0 3.11/2.02 3.11/2.02 3.11/2.02 3.11/2.02 3.11/2.02 3.11/2.02 This yielded the following problem: 3.11/2.02 3.11/2.02 5: T: 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 + ar_5 - 3 >= 0 /\ -ar_2 + ar_5 + 1 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 = 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= ar_4 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ar_0, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_2 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_2 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_2 = 1 ] 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ] 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 3.11/2.02 3.11/2.02 start location: koat_start 3.11/2.02 3.11/2.02 leaf cost: 0 3.11/2.02 3.11/2.02 3.11/2.02 3.11/2.02 Testing for unsatisfiable constraints removes the following transition from problem 5: 3.11/2.02 3.11/2.02 evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_2 ] 3.11/2.02 3.11/2.02 We thus obtain the following problem: 3.11/2.02 3.11/2.02 6: T: 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 + ar_5 - 3 >= 0 /\ -ar_2 + ar_5 + 1 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 = 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= ar_4 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ar_0, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_2 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_2 = 1 ] 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ] 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 3.11/2.02 3.11/2.02 start location: koat_start 3.11/2.02 3.11/2.02 leaf cost: 0 3.11/2.02 3.11/2.02 3.11/2.02 3.11/2.02 A polynomial rank function with 3.11/2.02 3.11/2.02 Pol(evalperfectgbb5in) = 2 3.11/2.02 3.11/2.02 Pol(evalperfectgbb3in) = 2 3.11/2.02 3.11/2.02 Pol(evalperfectgbb4in) = 1 3.11/2.02 3.11/2.02 Pol(evalperfectgbb1in) = 0 3.11/2.02 3.11/2.02 and size complexities 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-1) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-2) = ar_2 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-3) = ar_3 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-4) = ar_4 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-5) = ar_5 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-2) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-3) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-4) = ar_4 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-5) = ar_5 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 1 ]", 0-1) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 1 ]", 0-2) = 1 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 1 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 1 ]", 0-4) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 1 ]", 0-5) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 2 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 2 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 2 ]", 0-2) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 2 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 2 ]", 0-4) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 2 ]", 0-5) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-1) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-2) = ar_2 + 1 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-4) = ar_0 + ar_4 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-5) = ar_0 + ar_5 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-1) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-2) = ar_2 + 1 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-4) = ar_0 + ar_4 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-5) = ar_0 + ar_5 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-1) = 0 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-2) = ar_2 + 1 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-4) = ar_0 + ar_4 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-5) = ar_0 + ar_5 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 >= ar_5 + 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 >= ar_5 + 1 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 >= ar_5 + 1 ]", 0-2) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 >= ar_5 + 1 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 >= ar_5 + 1 ]", 0-4) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 >= ar_5 + 1 ]", 0-5) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= ar_4 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= ar_4 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= ar_4 ]", 0-2) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= ar_4 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= ar_4 ]", 0-4) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= ar_4 ]", 0-5) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_5 + 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_5 + 1 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_5 + 1 ]", 0-2) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_5 + 1 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_5 + 1 ]", 0-4) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_5 + 1 ]", 0-5) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= 1 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= 1 ]", 0-2) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= 1 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= 1 ]", 0-4) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= 1 ]", 0-5) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 = 0 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 = 0 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 = 0 ]", 0-2) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 = 0 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 = 0 ]", 0-4) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 = 0 ]", 0-5) = 0 3.11/2.02 3.11/2.02 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_4 + ar_5 - 2 >= 0 /\\ -ar_4 + ar_5 >= 0 /\\ ar_2 + ar_5 - 3 >= 0 /\\ -ar_2 + ar_5 + 1 >= 0 /\\ ar_0 + ar_5 - 3 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_4 + ar_5 - 2 >= 0 /\\ -ar_4 + ar_5 >= 0 /\\ ar_2 + ar_5 - 3 >= 0 /\\ -ar_2 + ar_5 + 1 >= 0 /\\ ar_0 + ar_5 - 3 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_4 + ar_5 - 2 >= 0 /\\ -ar_4 + ar_5 >= 0 /\\ ar_2 + ar_5 - 3 >= 0 /\\ -ar_2 + ar_5 + 1 >= 0 /\\ ar_0 + ar_5 - 3 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-2) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_4 + ar_5 - 2 >= 0 /\\ -ar_4 + ar_5 >= 0 /\\ ar_2 + ar_5 - 3 >= 0 /\\ -ar_2 + ar_5 + 1 >= 0 /\\ ar_0 + ar_5 - 3 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-3) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_4 + ar_5 - 2 >= 0 /\\ -ar_4 + ar_5 >= 0 /\\ ar_2 + ar_5 - 3 >= 0 /\\ -ar_2 + ar_5 + 1 >= 0 /\\ ar_0 + ar_5 - 3 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-4) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_4 + ar_5 - 2 >= 0 /\\ -ar_4 + ar_5 >= 0 /\\ ar_2 + ar_5 - 3 >= 0 /\\ -ar_2 + ar_5 + 1 >= 0 /\\ ar_0 + ar_5 - 3 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-5) = ar_0 3.11/2.02 3.11/2.02 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2 3.11/2.02 3.11/2.02 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3 3.11/2.02 3.11/2.02 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4 3.11/2.02 3.11/2.02 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5 3.11/2.02 3.11/2.02 orients the transitions 3.11/2.02 3.11/2.02 evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 + ar_5 - 3 >= 0 /\ -ar_2 + ar_5 + 1 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 ] 3.11/2.02 3.11/2.02 evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 = 0 ] 3.11/2.02 3.11/2.02 evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= 1 ] 3.11/2.02 3.11/2.02 evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= ar_4 ] 3.11/2.02 3.11/2.02 evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 weakly and the transitions 3.11/2.02 3.11/2.02 evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 = 0 ] 3.11/2.02 3.11/2.02 evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= 1 ] 3.11/2.02 3.11/2.02 evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 strictly and produces the following problem: 3.11/2.02 3.11/2.02 7: T: 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 + ar_5 - 3 >= 0 /\ -ar_2 + ar_5 + 1 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 ] 3.11/2.02 3.11/2.02 (Comp: 2*ar_0, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 = 0 ] 3.11/2.02 3.11/2.02 (Comp: 2*ar_0, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: 2*ar_0, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= ar_4 ] 3.11/2.02 3.11/2.02 (Comp: 2*ar_0, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 >= ar_5 + 1 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ] 3.11/2.02 3.11/2.02 (Comp: ar_0, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_2 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: 2, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_2 = 1 ] 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ] 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ] 3.11/2.02 3.11/2.02 (Comp: 1, Cost: 1) evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 3.11/2.02 3.11/2.02 start location: koat_start 3.11/2.02 3.11/2.02 leaf cost: 0 3.11/2.02 3.11/2.02 3.11/2.02 3.11/2.02 A polynomial rank function with 3.11/2.02 3.11/2.02 Pol(evalperfectgbb5in) = -2*V_5 + 2*V_6 + 1 3.11/2.02 3.11/2.02 Pol(evalperfectgbb3in) = 2*V_6 3.11/2.02 3.11/2.02 and size complexities 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4 3.11/2.02 3.11/2.02 S("evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-1) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-2) = ar_2 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-3) = ar_3 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-4) = ar_4 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]", 0-5) = ar_5 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-2) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-3) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-4) = ar_4 3.11/2.02 3.11/2.02 S("evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ]", 0-5) = ar_5 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 1 ]", 0-1) = ar_0 + 2*ar_0^2 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 1 ]", 0-2) = 1 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 1 ]", 0-3) = ar_0 + 2*ar_0^2 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 1 ]", 0-4) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 1 ]", 0-5) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 2 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 2 ]", 0-1) = ar_1 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 2 ]", 0-2) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 2 ]", 0-3) = ar_0 + 2*ar_0^2 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 2 ]", 0-4) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 2 ]", 0-5) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-1) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-2) = ar_2 + 1 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-3) = ar_3 + ar_0 + 2*ar_0^2 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-4) = ar_0 + ar_4 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ]", 0-5) = ar_0 + ar_5 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-0) = ar_0 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-1) = ? 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-2) = ar_2 + 1 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-3) = ar_3 + ar_0 + 2*ar_0^2 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-4) = ar_0 + ar_4 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ]", 0-5) = ar_0 + ar_5 3.11/2.02 3.11/2.02 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-0) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-1) = 0 3.11/2.03 3.11/2.03 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-2) = ar_2 + 1 3.11/2.03 3.11/2.03 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-3) = ar_3 + ar_0 + 2*ar_0^2 3.11/2.03 3.11/2.03 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-4) = ar_0 + ar_4 3.11/2.03 3.11/2.03 S("evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ]", 0-5) = ar_0 + ar_5 3.11/2.03 3.11/2.03 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 >= ar_5 + 1 ]", 0-0) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 >= ar_5 + 1 ]", 0-1) = ar_1 3.11/2.03 3.11/2.03 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 >= ar_5 + 1 ]", 0-2) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 >= ar_5 + 1 ]", 0-3) = ar_0 + 2*ar_0^2 3.11/2.03 3.11/2.03 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 >= ar_5 + 1 ]", 0-4) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 >= ar_5 + 1 ]", 0-5) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= ar_4 ]", 0-0) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= ar_4 ]", 0-1) = ar_1 3.11/2.03 3.11/2.03 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= ar_4 ]", 0-2) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= ar_4 ]", 0-3) = ar_0 + 2*ar_0^2 3.11/2.03 3.11/2.03 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= ar_4 ]", 0-4) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= ar_4 ]", 0-5) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_5 + 1 ]", 0-0) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_5 + 1 ]", 0-1) = ar_1 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_5 + 1 ]", 0-2) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_5 + 1 ]", 0-3) = ar_0 + 2*ar_0^2 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_5 + 1 ]", 0-4) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_5 + 1 ]", 0-5) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= 1 ]", 0-0) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= 1 ]", 0-1) = ar_1 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= 1 ]", 0-2) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= 1 ]", 0-3) = ar_0 + 2*ar_0^2 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= 1 ]", 0-4) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 >= 1 ]", 0-5) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 = 0 ]", 0-0) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 = 0 ]", 0-1) = ar_1 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 = 0 ]", 0-2) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 = 0 ]", 0-3) = ar_0 + 2*ar_0^2 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 = 0 ]", 0-4) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\\ ar_2 - ar_5 - 2 >= 0 /\\ ar_0 - ar_5 - 2 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_5 = 0 ]", 0-5) = 0 3.11/2.03 3.11/2.03 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_4 + ar_5 - 2 >= 0 /\\ -ar_4 + ar_5 >= 0 /\\ ar_2 + ar_5 - 3 >= 0 /\\ -ar_2 + ar_5 + 1 >= 0 /\\ ar_0 + ar_5 - 3 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-0) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_4 + ar_5 - 2 >= 0 /\\ -ar_4 + ar_5 >= 0 /\\ ar_2 + ar_5 - 3 >= 0 /\\ -ar_2 + ar_5 + 1 >= 0 /\\ ar_0 + ar_5 - 3 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-1) = ar_1 3.11/2.03 3.11/2.03 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_4 + ar_5 - 2 >= 0 /\\ -ar_4 + ar_5 >= 0 /\\ ar_2 + ar_5 - 3 >= 0 /\\ -ar_2 + ar_5 + 1 >= 0 /\\ ar_0 + ar_5 - 3 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-2) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_4 + ar_5 - 2 >= 0 /\\ -ar_4 + ar_5 >= 0 /\\ ar_2 + ar_5 - 3 >= 0 /\\ -ar_2 + ar_5 + 1 >= 0 /\\ ar_0 + ar_5 - 3 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-3) = ar_0 + 2*ar_0^2 3.11/2.03 3.11/2.03 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_4 + ar_5 - 2 >= 0 /\\ -ar_4 + ar_5 >= 0 /\\ ar_2 + ar_5 - 3 >= 0 /\\ -ar_2 + ar_5 + 1 >= 0 /\\ ar_0 + ar_5 - 3 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-4) = ar_0 3.11/2.03 3.11/2.03 S("evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_4 + ar_5 - 2 >= 0 /\\ -ar_4 + ar_5 >= 0 /\\ ar_2 + ar_5 - 3 >= 0 /\\ -ar_2 + ar_5 + 1 >= 0 /\\ ar_0 + ar_5 - 3 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 3 >= 0 /\\ -ar_2 + ar_4 + 1 >= 0 /\\ ar_0 + ar_4 - 3 >= 0 /\\ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-5) = ar_0 3.11/2.03 3.11/2.03 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0 3.11/2.03 3.11/2.03 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1 3.11/2.03 3.11/2.03 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2 3.11/2.03 3.11/2.03 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3 3.11/2.03 3.11/2.03 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4 3.11/2.03 3.11/2.03 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5 3.11/2.03 3.11/2.03 orients the transitions 3.11/2.03 3.11/2.03 evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 + ar_5 - 3 >= 0 /\ -ar_2 + ar_5 + 1 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 ] 3.11/2.03 3.11/2.03 evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= ar_4 ] 3.11/2.03 3.11/2.03 weakly and the transitions 3.11/2.03 3.11/2.03 evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 + ar_5 - 3 >= 0 /\ -ar_2 + ar_5 + 1 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 ] 3.11/2.03 3.11/2.03 evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= ar_4 ] 3.11/2.03 3.11/2.03 strictly and produces the following problem: 3.11/2.03 3.11/2.03 8: T: 3.11/2.03 3.11/2.03 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 3.11/2.03 3.11/2.03 (Comp: 2*ar_0^2, Cost: 1) evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - ar_4)) [ ar_0 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 + ar_5 - 3 >= 0 /\ -ar_2 + ar_5 + 1 >= 0 /\ ar_0 + ar_5 - 3 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 ] 3.11/2.03 3.11/2.03 (Comp: 2*ar_0, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3 - ar_4, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 = 0 ] 3.11/2.03 3.11/2.03 (Comp: 2*ar_0, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= 1 ] 3.11/2.03 3.11/2.03 (Comp: 2*ar_0, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 - 1 >= 0 /\ ar_2 - ar_5 - 2 >= 0 /\ ar_0 - ar_5 - 2 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_5 + 1 ] 3.11/2.03 3.11/2.03 (Comp: 2*ar_0^2, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_5 >= ar_4 ] 3.11/2.03 3.11/2.03 (Comp: 2*ar_0, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_5 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 3 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 >= ar_5 + 1 ] 3.11/2.03 3.11/2.03 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 = 0 ] 3.11/2.03 3.11/2.03 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= 1 ] 3.11/2.03 3.11/2.03 (Comp: 2, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ] 3.11/2.03 3.11/2.03 (Comp: ar_0, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1, ar_0)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_2 >= 2 ] 3.11/2.03 3.11/2.03 (Comp: 2, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_2 = 1 ] 3.11/2.03 3.11/2.03 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_0, ar_0, ar_4, ar_5)) [ ar_0 >= 2 ] 3.11/2.03 3.11/2.03 (Comp: 1, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb2in(ar_0, g, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ] 3.11/2.03 3.11/2.03 (Comp: 1, Cost: 1) evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 3.11/2.03 3.11/2.03 start location: koat_start 3.11/2.03 3.11/2.03 leaf cost: 0 3.11/2.03 3.11/2.03 3.11/2.03 3.11/2.03 Complexity upper bound 4*ar_0^2 + 9*ar_0 + 11 3.11/2.03 3.11/2.03 3.11/2.03 3.11/2.03 Time: 0.771 sec (SMT: 0.577 sec) 3.11/2.03 3.11/2.03 3.11/2.03 ---------------------------------------- 3.11/2.03 3.11/2.03 (2) 3.11/2.03 BOUNDS(1, n^2) 3.11/2.04 EOF