2.95/2.08 WORST_CASE(?, O(n^1)) 2.95/2.09 proof of /export/starexec/sandbox/output/output_files/bench.koat 2.95/2.09 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.95/2.09 2.95/2.09 2.95/2.09 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 2.95/2.09 2.95/2.09 (0) CpxIntTrs 2.95/2.09 (1) Koat Proof [FINISHED, 783 ms] 2.95/2.09 (2) BOUNDS(1, n^1) 2.95/2.09 2.95/2.09 2.95/2.09 ---------------------------------------- 2.95/2.09 2.95/2.09 (0) 2.95/2.09 Obligation: 2.95/2.09 Complexity Int TRS consisting of the following rules: 2.95/2.09 eval_aaron2_start(v_.01, v_.02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb0_in(v_.01, v_.02, v_3, v_tx, v_x, v_y)) :|: TRUE 2.95/2.09 eval_aaron2_bb0_in(v_.01, v_.02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb1_in(v_x, v_y, v_3, v_tx, v_x, v_y)) :|: v_tx >= 0 2.95/2.09 eval_aaron2_bb0_in(v_.01, v_.02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb5_in(v_.01, v_.02, v_3, v_tx, v_x, v_y)) :|: v_tx < 0 2.95/2.09 eval_aaron2_bb1_in(v_.01, v_.02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb5_in(v_.01, v_.02, v_3, v_tx, v_x, v_y)) :|: v_.01 < v_.02 2.95/2.09 eval_aaron2_bb1_in(v_.01, v_.02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb5_in(v_.01, v_.02, v_3, v_tx, v_x, v_y)) :|: v_tx < 0 2.95/2.09 eval_aaron2_bb1_in(v_.01, v_.02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb2_in(v_.01, v_.02, v_3, v_tx, v_x, v_y)) :|: v_.01 >= v_.02 && v_tx >= 0 2.95/2.09 eval_aaron2_bb2_in(v_.01, v_.02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_0(v_.01, v_.02, v_3, v_tx, v_x, v_y)) :|: TRUE 2.95/2.09 eval_aaron2_0(v_.01, v_.02, v_3, v_tx, v_x, v_y) -> Com_2(eval_nondet_start(v_.01, v_.02, v_3, v_tx, v_x, v_y), eval_aaron2_1(v_.01, v_.02, nondef.0, v_tx, v_x, v_y)) :|: TRUE 2.95/2.09 eval_aaron2_1(v_.01, v_.02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb3_in(v_.01, v_.02, v_3, v_tx, v_x, v_y)) :|: v_3 > 0 2.95/2.09 eval_aaron2_1(v_.01, v_.02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb4_in(v_.01, v_.02, v_3, v_tx, v_x, v_y)) :|: v_3 <= 0 2.95/2.09 eval_aaron2_bb3_in(v_.01, v_.02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb1_in(v_.01 - v_tx - 1, v_.02, v_3, v_tx, v_x, v_y)) :|: TRUE 2.95/2.09 eval_aaron2_bb4_in(v_.01, v_.02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb1_in(v_.01, v_.02 + v_tx + 1, v_3, v_tx, v_x, v_y)) :|: TRUE 2.95/2.09 eval_aaron2_bb5_in(v_.01, v_.02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_stop(v_.01, v_.02, v_3, v_tx, v_x, v_y)) :|: TRUE 2.95/2.09 2.95/2.09 The start-symbols are:[eval_aaron2_start_6] 2.95/2.09 2.95/2.09 2.95/2.09 ---------------------------------------- 2.95/2.09 2.95/2.09 (1) Koat Proof (FINISHED) 2.95/2.09 YES(?, 63*ar_2 + 63*ar_4 + 70) 2.95/2.09 2.95/2.09 2.95/2.09 2.95/2.09 Initial complexity problem: 2.95/2.09 2.95/2.09 1: T: 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_2, ar_2, ar_4, ar_4, ar_5, ar_6)) [ ar_0 >= 0 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_1 + 1 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 >= ar_3 /\ ar_0 >= 0 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.95/2.09 2.95/2.09 start location: koat_start 2.95/2.09 2.95/2.09 leaf cost: 0 2.95/2.09 2.95/2.09 2.95/2.09 2.95/2.09 Repeatedly propagating knowledge in problem 1 produces the following problem: 2.95/2.09 2.95/2.09 2: T: 2.95/2.09 2.95/2.09 (Comp: 1, Cost: 1) evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: 1, Cost: 1) evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_2, ar_2, ar_4, ar_4, ar_5, ar_6)) [ ar_0 >= 0 ] 2.95/2.09 2.95/2.09 (Comp: 1, Cost: 1) evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_1 + 1 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 >= ar_3 /\ ar_0 >= 0 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.95/2.09 2.95/2.09 start location: koat_start 2.95/2.09 2.95/2.09 leaf cost: 0 2.95/2.09 2.95/2.09 2.95/2.09 2.95/2.09 A polynomial rank function with 2.95/2.09 2.95/2.09 Pol(evalaaron2start) = 2 2.95/2.09 2.95/2.09 Pol(evalaaron2bb0in) = 2 2.95/2.09 2.95/2.09 Pol(evalaaron2bb1in) = 2 2.95/2.09 2.95/2.09 Pol(evalaaron2bb5in) = 1 2.95/2.09 2.95/2.09 Pol(evalaaron2bb2in) = 2 2.95/2.09 2.95/2.09 Pol(evalaaron20) = 2 2.95/2.09 2.95/2.09 Pol(evalaaron200) = 0 2.95/2.09 2.95/2.09 Pol(evalnondetstart) = 0 2.95/2.09 2.95/2.09 Pol(evalaaron201) = 2 2.95/2.09 2.95/2.09 Pol(evalaaron21) = 2 2.95/2.09 2.95/2.09 Pol(evalaaron2bb3in) = 2 2.95/2.09 2.95/2.09 Pol(evalaaron2bb4in) = 2 2.95/2.09 2.95/2.09 Pol(evalaaron2stop) = 0 2.95/2.09 2.95/2.09 Pol(koat_start) = 2 2.95/2.09 2.95/2.09 orients all transitions weakly and the transitions 2.95/2.09 2.95/2.09 evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_1 + 1 ] 2.95/2.09 2.95/2.09 evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ] 2.95/2.09 2.95/2.09 strictly and produces the following problem: 2.95/2.09 2.95/2.09 3: T: 2.95/2.09 2.95/2.09 (Comp: 1, Cost: 1) evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: 1, Cost: 1) evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_2, ar_2, ar_4, ar_4, ar_5, ar_6)) [ ar_0 >= 0 ] 2.95/2.09 2.95/2.09 (Comp: 1, Cost: 1) evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ] 2.95/2.09 2.95/2.09 (Comp: 2, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_1 + 1 ] 2.95/2.09 2.95/2.09 (Comp: 2, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 >= ar_3 /\ ar_0 >= 0 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: 2, Cost: 1) evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.95/2.09 2.95/2.09 start location: koat_start 2.95/2.09 2.95/2.09 leaf cost: 0 2.95/2.09 2.95/2.09 2.95/2.09 2.95/2.09 Applied AI with 'oct' on problem 3 to obtain the following invariants: 2.95/2.09 2.95/2.09 For symbol evalaaron20: X_4 - X_5 >= 0 /\ X_3 - X_5 >= 0 /\ X_2 - X_5 >= 0 /\ X_3 - X_4 >= 0 /\ X_2 - X_4 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 >= 0 2.95/2.09 2.95/2.09 For symbol evalaaron200: X_4 - X_5 >= 0 /\ X_3 - X_5 >= 0 /\ X_2 - X_5 >= 0 /\ X_3 - X_4 >= 0 /\ X_2 - X_4 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 >= 0 2.95/2.09 2.95/2.09 For symbol evalaaron201: X_4 - X_5 >= 0 /\ X_3 - X_5 >= 0 /\ X_2 - X_5 >= 0 /\ X_3 - X_4 >= 0 /\ X_2 - X_4 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 >= 0 2.95/2.09 2.95/2.09 For symbol evalaaron21: X_6 - X_7 >= 0 /\ -X_6 + X_7 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 >= 0 /\ X_2 - X_5 >= 0 /\ X_3 - X_4 >= 0 /\ X_2 - X_4 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 >= 0 2.95/2.09 2.95/2.09 For symbol evalaaron2bb1in: X_4 - X_5 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 >= 0 2.95/2.09 2.95/2.09 For symbol evalaaron2bb2in: X_4 - X_5 >= 0 /\ X_3 - X_5 >= 0 /\ X_2 - X_5 >= 0 /\ X_3 - X_4 >= 0 /\ X_2 - X_4 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 >= 0 2.95/2.09 2.95/2.09 For symbol evalaaron2bb3in: X_6 - X_7 >= 0 /\ X_7 - 1 >= 0 /\ X_6 + X_7 - 2 >= 0 /\ -X_6 + X_7 >= 0 /\ X_1 + X_7 - 1 >= 0 /\ X_6 - 1 >= 0 /\ X_1 + X_6 - 1 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 >= 0 /\ X_2 - X_5 >= 0 /\ X_3 - X_4 >= 0 /\ X_2 - X_4 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 >= 0 2.95/2.09 2.95/2.09 For symbol evalaaron2bb4in: -X_7 >= 0 /\ X_6 - X_7 >= 0 /\ -X_6 - X_7 >= 0 /\ X_1 - X_7 >= 0 /\ -X_6 + X_7 >= 0 /\ -X_6 >= 0 /\ X_1 - X_6 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 >= 0 /\ X_2 - X_5 >= 0 /\ X_3 - X_4 >= 0 /\ X_2 - X_4 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 >= 0 2.95/2.09 2.95/2.09 2.95/2.09 2.95/2.09 2.95/2.09 2.95/2.09 This yielded the following problem: 2.95/2.09 2.95/2.09 4: T: 2.95/2.09 2.95/2.09 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.95/2.09 2.95/2.09 (Comp: 2, Cost: 1) evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) [ -ar_6 >= 0 /\ ar_5 - ar_6 >= 0 /\ -ar_5 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ -ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ ar_5 + ar_6 - 2 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_0 + ar_6 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_0 + ar_5 - 1 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_5 ] 2.95/2.09 2.95/2.09 (Comp: ?, Cost: 1) evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_5 >= 1 ] 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_3 ] 2.95/2.10 2.95/2.10 (Comp: 2, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_0 + 1 ] 2.95/2.10 2.95/2.10 (Comp: 2, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_3 >= ar_1 + 1 ] 2.95/2.10 2.95/2.10 (Comp: 1, Cost: 1) evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ] 2.95/2.10 2.95/2.10 (Comp: 1, Cost: 1) evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_2, ar_2, ar_4, ar_4, ar_5, ar_6)) [ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: 1, Cost: 1) evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.10 2.95/2.10 start location: koat_start 2.95/2.10 2.95/2.10 leaf cost: 0 2.95/2.10 2.95/2.10 2.95/2.10 2.95/2.10 Testing for unsatisfiable constraints removes the following transition from problem 4: 2.95/2.10 2.95/2.10 evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_0 + 1 ] 2.95/2.10 2.95/2.10 We thus obtain the following problem: 2.95/2.10 2.95/2.10 5: T: 2.95/2.10 2.95/2.10 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.95/2.10 2.95/2.10 (Comp: 2, Cost: 1) evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) [ -ar_6 >= 0 /\ ar_5 - ar_6 >= 0 /\ -ar_5 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ -ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ ar_5 + ar_6 - 2 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_0 + ar_6 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_0 + ar_5 - 1 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_5 ] 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_5 >= 1 ] 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: ?, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_3 ] 2.95/2.10 2.95/2.10 (Comp: 2, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_3 >= ar_1 + 1 ] 2.95/2.10 2.95/2.10 (Comp: 1, Cost: 1) evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ] 2.95/2.10 2.95/2.10 (Comp: 1, Cost: 1) evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_2, ar_2, ar_4, ar_4, ar_5, ar_6)) [ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: 1, Cost: 1) evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.10 2.95/2.10 start location: koat_start 2.95/2.10 2.95/2.10 leaf cost: 0 2.95/2.10 2.95/2.10 2.95/2.10 2.95/2.10 A polynomial rank function with 2.95/2.10 2.95/2.10 Pol(evalaaron2bb4in) = 7*V_2 - 7*V_4 + 1 2.95/2.10 2.95/2.10 Pol(evalaaron2bb1in) = 7*V_2 - 7*V_4 + 7 2.95/2.10 2.95/2.10 Pol(evalaaron2bb3in) = 7*V_2 - 7*V_4 + 1 2.95/2.10 2.95/2.10 Pol(evalaaron2bb2in) = 7*V_2 - 7*V_4 + 6 2.95/2.10 2.95/2.10 Pol(evalaaron20) = 7*V_2 - 7*V_4 + 5 2.95/2.10 2.95/2.10 Pol(evalaaron21) = 7*V_2 - 7*V_4 + 2 2.95/2.10 2.95/2.10 Pol(evalaaron201) = 7*V_2 - 7*V_4 + 3 2.95/2.10 2.95/2.10 Pol(evalaaron200) = 1 2.95/2.10 2.95/2.10 Pol(evalnondetstart) = 0 2.95/2.10 2.95/2.10 and size complexities 2.95/2.10 2.95/2.10 S("evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 2.95/2.10 2.95/2.10 S("evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 2.95/2.10 2.95/2.10 S("evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 2.95/2.10 2.95/2.10 S("evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_2, ar_2, ar_4, ar_4, ar_5, ar_6)) [ ar_0 >= 0 ]", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_2, ar_2, ar_4, ar_4, ar_5, ar_6)) [ ar_0 >= 0 ]", 0-1) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_2, ar_2, ar_4, ar_4, ar_5, ar_6)) [ ar_0 >= 0 ]", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_2, ar_2, ar_4, ar_4, ar_5, ar_6)) [ ar_0 >= 0 ]", 0-3) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_2, ar_2, ar_4, ar_4, ar_5, ar_6)) [ ar_0 >= 0 ]", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_2, ar_2, ar_4, ar_4, ar_5, ar_6)) [ ar_0 >= 0 ]", 0-5) = ar_5 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_2, ar_2, ar_4, ar_4, ar_5, ar_6)) [ ar_0 >= 0 ]", 0-6) = ar_6 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ]", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ]", 0-1) = ar_1 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ]", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ]", 0-3) = ar_3 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ]", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ]", 0-5) = ar_5 2.95/2.10 2.95/2.10 S("evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ]", 0-6) = ar_6 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= ar_1 + 1 ]", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= ar_1 + 1 ]", 0-1) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= ar_1 + 1 ]", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= ar_1 + 1 ]", 0-3) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= ar_1 + 1 ]", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= ar_1 + 1 ]", 0-5) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= ar_1 + 1 ]", 0-6) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_3 ]", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_3 ]", 0-1) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_3 ]", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_3 ]", 0-3) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_3 ]", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_3 ]", 0-5) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_3 ]", 0-6) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-5) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-6) = ? 2.95/2.10 2.95/2.10 S("evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ? 2.95/2.10 2.95/2.10 S("evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ? 2.95/2.10 2.95/2.10 S("evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-5) = ? 2.95/2.10 2.95/2.10 S("evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-6) = ? 2.95/2.10 2.95/2.10 S("evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ? 2.95/2.10 2.95/2.10 S("evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ? 2.95/2.10 2.95/2.10 S("evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-5) = ? 2.95/2.10 2.95/2.10 S("evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-6) = ? 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ? 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ? 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-5) = ? 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-6) = ? 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 1-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 1-1) = ? 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 1-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 1-3) = ? 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 1-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 1-5) = ? 2.95/2.10 2.95/2.10 S("evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 1-6) = ? 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_5 >= 1 ]", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_5 >= 1 ]", 0-1) = ? 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_5 >= 1 ]", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_5 >= 1 ]", 0-3) = ? 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_5 >= 1 ]", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_5 >= 1 ]", 0-5) = ? 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_5 >= 1 ]", 0-6) = ? 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_5 ]", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_5 ]", 0-1) = ? 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_5 ]", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_5 ]", 0-3) = ? 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_5 ]", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_5 ]", 0-5) = ? 2.95/2.10 2.95/2.10 S("evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_5 ]", 0-6) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ ar_6 - 1 >= 0 /\\ ar_5 + ar_6 - 2 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_0 + ar_6 - 1 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_0 + ar_5 - 1 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ ar_6 - 1 >= 0 /\\ ar_5 + ar_6 - 2 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_0 + ar_6 - 1 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_0 + ar_5 - 1 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ ar_6 - 1 >= 0 /\\ ar_5 + ar_6 - 2 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_0 + ar_6 - 1 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_0 + ar_5 - 1 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ ar_6 - 1 >= 0 /\\ ar_5 + ar_6 - 2 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_0 + ar_6 - 1 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_0 + ar_5 - 1 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ ar_6 - 1 >= 0 /\\ ar_5 + ar_6 - 2 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_0 + ar_6 - 1 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_0 + ar_5 - 1 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ ar_6 - 1 >= 0 /\\ ar_5 + ar_6 - 2 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_0 + ar_6 - 1 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_0 + ar_5 - 1 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-5) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\\ ar_6 - 1 >= 0 /\\ ar_5 + ar_6 - 2 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ ar_0 + ar_6 - 1 >= 0 /\\ ar_5 - 1 >= 0 /\\ ar_0 + ar_5 - 1 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-6) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) [ -ar_6 >= 0 /\\ ar_5 - ar_6 >= 0 /\\ -ar_5 - ar_6 >= 0 /\\ ar_0 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ -ar_5 >= 0 /\\ ar_0 - ar_5 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) [ -ar_6 >= 0 /\\ ar_5 - ar_6 >= 0 /\\ -ar_5 - ar_6 >= 0 /\\ ar_0 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ -ar_5 >= 0 /\\ ar_0 - ar_5 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) [ -ar_6 >= 0 /\\ ar_5 - ar_6 >= 0 /\\ -ar_5 - ar_6 >= 0 /\\ ar_0 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ -ar_5 >= 0 /\\ ar_0 - ar_5 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) [ -ar_6 >= 0 /\\ ar_5 - ar_6 >= 0 /\\ -ar_5 - ar_6 >= 0 /\\ ar_0 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ -ar_5 >= 0 /\\ ar_0 - ar_5 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) [ -ar_6 >= 0 /\\ ar_5 - ar_6 >= 0 /\\ -ar_5 - ar_6 >= 0 /\\ ar_0 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ -ar_5 >= 0 /\\ ar_0 - ar_5 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) [ -ar_6 >= 0 /\\ ar_5 - ar_6 >= 0 /\\ -ar_5 - ar_6 >= 0 /\\ ar_0 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ -ar_5 >= 0 /\\ ar_0 - ar_5 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-5) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) [ -ar_6 >= 0 /\\ ar_5 - ar_6 >= 0 /\\ -ar_5 - ar_6 >= 0 /\\ ar_0 - ar_6 >= 0 /\\ -ar_5 + ar_6 >= 0 /\\ -ar_5 >= 0 /\\ ar_0 - ar_5 >= 0 /\\ ar_3 - ar_4 >= 0 /\\ ar_2 - ar_4 >= 0 /\\ ar_1 - ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ ar_1 - ar_3 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 ]", 0-6) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ? 2.95/2.10 2.95/2.10 S("evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ? 2.95/2.10 2.95/2.10 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-0) = ar_0 2.95/2.10 2.95/2.10 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-1) = ar_1 2.95/2.10 2.95/2.10 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-2) = ar_2 2.95/2.10 2.95/2.10 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-3) = ar_3 2.95/2.10 2.95/2.10 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-4) = ar_4 2.95/2.10 2.95/2.10 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-5) = ar_5 2.95/2.10 2.95/2.10 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-6) = ar_6 2.95/2.10 2.95/2.10 orients the transitions 2.95/2.10 2.95/2.10 evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) [ -ar_6 >= 0 /\ ar_5 - ar_6 >= 0 /\ -ar_5 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ -ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ ar_5 + ar_6 - 2 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_0 + ar_6 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_0 + ar_5 - 1 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_3 ] 2.95/2.10 2.95/2.10 evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_5 ] 2.95/2.10 2.95/2.10 evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_5 >= 1 ] 2.95/2.10 2.95/2.10 evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 weakly and the transitions 2.95/2.10 2.95/2.10 evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) [ -ar_6 >= 0 /\ ar_5 - ar_6 >= 0 /\ -ar_5 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ -ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ ar_5 + ar_6 - 2 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_0 + ar_6 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_0 + ar_5 - 1 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_3 ] 2.95/2.10 2.95/2.10 evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_5 ] 2.95/2.10 2.95/2.10 evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_5 >= 1 ] 2.95/2.10 2.95/2.10 evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 strictly and produces the following problem: 2.95/2.10 2.95/2.10 6: T: 2.95/2.10 2.95/2.10 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.95/2.10 2.95/2.10 (Comp: 2, Cost: 1) evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.10 2.95/2.10 (Comp: 7*ar_2 + 7*ar_4 + 7, Cost: 1) evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3 + ar_0 + 1, ar_4, ar_5, ar_6)) [ -ar_6 >= 0 /\ ar_5 - ar_6 >= 0 /\ -ar_5 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ -ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: 7*ar_2 + 7*ar_4 + 7, Cost: 1) evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_1 - ar_0 - 1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ ar_5 + ar_6 - 2 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_0 + ar_6 - 1 >= 0 /\ ar_5 - 1 >= 0 /\ ar_0 + ar_5 - 1 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: 7*ar_2 + 7*ar_4 + 7, Cost: 1) evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_5 ] 2.95/2.10 2.95/2.10 (Comp: 7*ar_2 + 7*ar_4 + 7, Cost: 1) evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_5 >= 1 ] 2.95/2.10 2.95/2.10 (Comp: 7*ar_2 + 7*ar_4 + 7, Cost: 1) evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: 7*ar_2 + 7*ar_4 + 7, Cost: 1) evalaaron201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: 7*ar_2 + 7*ar_4 + 7, Cost: 1) evalaaron200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: 7*ar_2 + 7*ar_4 + 7, Cost: 1) evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: 7*ar_2 + 7*ar_4 + 7, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_3 ] 2.95/2.10 2.95/2.10 (Comp: 2, Cost: 1) evalaaron2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 - ar_4 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_3 >= ar_1 + 1 ] 2.95/2.10 2.95/2.10 (Comp: 1, Cost: 1) evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 ] 2.95/2.10 2.95/2.10 (Comp: 1, Cost: 1) evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb1in(ar_0, ar_2, ar_2, ar_4, ar_4, ar_5, ar_6)) [ ar_0 >= 0 ] 2.95/2.10 2.95/2.10 (Comp: 1, Cost: 1) evalaaron2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalaaron2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.95/2.10 2.95/2.10 start location: koat_start 2.95/2.10 2.95/2.10 leaf cost: 0 2.95/2.10 2.95/2.10 2.95/2.10 2.95/2.10 Complexity upper bound 63*ar_2 + 63*ar_4 + 70 2.95/2.10 2.95/2.10 2.95/2.10 2.95/2.10 Time: 0.748 sec (SMT: 0.584 sec) 2.95/2.10 2.95/2.10 2.95/2.10 ---------------------------------------- 2.95/2.10 2.95/2.10 (2) 2.95/2.10 BOUNDS(1, n^1) 3.07/2.13 EOF