7.26/3.09 WORST_CASE(Omega(n^2), O(n^2)) 7.26/3.10 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 7.26/3.10 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.26/3.10 7.26/3.10 7.26/3.10 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^2, n^2). 7.26/3.10 7.26/3.10 (0) CpxIntTrs 7.26/3.10 (1) Koat Proof [FINISHED, 638 ms] 7.26/3.10 (2) BOUNDS(1, n^2) 7.26/3.10 (3) Loat Proof [FINISHED, 1308 ms] 7.26/3.10 (4) BOUNDS(n^2, INF) 7.26/3.10 7.26/3.10 7.26/3.10 ---------------------------------------- 7.26/3.10 7.26/3.10 (0) 7.26/3.10 Obligation: 7.26/3.10 Complexity Int TRS consisting of the following rules: 7.26/3.10 eval_realbubble_start(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb0_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_bb0_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_1(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_1(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_2(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_2(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_3(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_3(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_4(v_length - 1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_4(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_5(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_5(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_6(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_6(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_7(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_7(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_8(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_8(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_9(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_9(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_10(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_10(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb1_in(v_1, v_26, v_1, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_bb1_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb2_in(v_1, v_26, v_i_0, 0, v_length, 0, v_test_1)) :|: v_i_0 > 0 7.26/3.10 eval_realbubble_bb1_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb8_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: v_i_0 <= 0 7.26/3.10 eval_realbubble_bb2_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb3_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: v_j_0 < v_i_0 7.26/3.10 eval_realbubble_bb2_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb6_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: v_j_0 >= v_i_0 7.26/3.10 eval_realbubble_bb3_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb4_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: nondef_1 > nondef_2 7.26/3.10 eval_realbubble_bb3_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb5_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_0)) :|: nondef_1 <= nondef_2 7.26/3.10 eval_realbubble_bb4_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb5_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, 1)) :|: TRUE 7.26/3.10 eval_realbubble_bb5_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb2_in(v_1, v_26, v_i_0, v_j_0 + 1, v_length, v_test_1, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_bb6_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb8_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: v_test_0 >= 0 && v_test_0 <= 0 7.26/3.10 eval_realbubble_bb6_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb7_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: v_test_0 < 0 7.26/3.10 eval_realbubble_bb6_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb7_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: v_test_0 > 0 7.26/3.10 eval_realbubble_bb7_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_31(v_1, v_i_0 - 1, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_31(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_32(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_32(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_bb1_in(v_1, v_26, v_26, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 eval_realbubble_bb8_in(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1) -> Com_1(eval_realbubble_stop(v_1, v_26, v_i_0, v_j_0, v_length, v_test_0, v_test_1)) :|: TRUE 7.26/3.10 7.26/3.10 The start-symbols are:[eval_realbubble_start_7] 7.26/3.10 7.26/3.10 7.26/3.10 ---------------------------------------- 7.26/3.10 7.26/3.10 (1) Koat Proof (FINISHED) 7.26/3.10 YES(?, 253*ar_1 + 36*ar_1^2 + 18) 7.26/3.10 7.26/3.10 7.26/3.10 7.26/3.10 Initial complexity problem: 7.26/3.10 7.26/3.10 1: T: 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.26/3.10 7.26/3.10 start location: koat_start 7.26/3.10 7.26/3.10 leaf cost: 0 7.26/3.10 7.26/3.10 7.26/3.10 7.26/3.10 Repeatedly propagating knowledge in problem 1 produces the following problem: 7.26/3.10 7.26/3.10 2: T: 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.26/3.10 7.26/3.10 start location: koat_start 7.26/3.10 7.26/3.10 leaf cost: 0 7.26/3.10 7.26/3.10 7.26/3.10 7.26/3.10 A polynomial rank function with 7.26/3.10 7.26/3.10 Pol(evalrealbubblestart) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb0in) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubble1) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubble2) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubble3) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubble4) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubble5) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubble6) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubble7) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubble8) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubble9) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubble10) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb1in) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb2in) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb8in) = 1 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb3in) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb6in) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb4in) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb5in) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb7in) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubble31) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubble32) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubblestop) = 0 7.26/3.10 7.26/3.10 Pol(koat_start) = 2 7.26/3.10 7.26/3.10 orients all transitions weakly and the transitions 7.26/3.10 7.26/3.10 evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ] 7.26/3.10 7.26/3.10 evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ] 7.26/3.10 7.26/3.10 strictly and produces the following problem: 7.26/3.10 7.26/3.10 3: T: 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ] 7.26/3.10 7.26/3.10 (Comp: 2, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 2, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 2, Cost: 1) evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.26/3.10 7.26/3.10 start location: koat_start 7.26/3.10 7.26/3.10 leaf cost: 0 7.26/3.10 7.26/3.10 7.26/3.10 7.26/3.10 A polynomial rank function with 7.26/3.10 7.26/3.10 Pol(evalrealbubblestart) = V_2 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb0in) = V_2 7.26/3.10 7.26/3.10 Pol(evalrealbubble1) = V_2 7.26/3.10 7.26/3.10 Pol(evalrealbubble2) = V_2 7.26/3.10 7.26/3.10 Pol(evalrealbubble3) = V_2 7.26/3.10 7.26/3.10 Pol(evalrealbubble4) = V_1 + 1 7.26/3.10 7.26/3.10 Pol(evalrealbubble5) = V_1 + 1 7.26/3.10 7.26/3.10 Pol(evalrealbubble6) = V_1 + 1 7.26/3.10 7.26/3.10 Pol(evalrealbubble7) = V_1 + 1 7.26/3.10 7.26/3.10 Pol(evalrealbubble8) = V_1 + 1 7.26/3.10 7.26/3.10 Pol(evalrealbubble9) = V_1 + 1 7.26/3.10 7.26/3.10 Pol(evalrealbubble10) = V_1 + 1 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb1in) = V_3 + 1 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb2in) = V_3 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb8in) = V_3 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb3in) = V_3 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb6in) = V_3 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb4in) = V_3 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb5in) = V_3 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb7in) = V_3 7.26/3.10 7.26/3.10 Pol(evalrealbubble31) = V_7 + 1 7.26/3.10 7.26/3.10 Pol(evalrealbubble32) = V_7 + 1 7.26/3.10 7.26/3.10 Pol(evalrealbubblestop) = V_3 7.26/3.10 7.26/3.10 Pol(koat_start) = V_2 7.26/3.10 7.26/3.10 orients all transitions weakly and the transition 7.26/3.10 7.26/3.10 evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ] 7.26/3.10 7.26/3.10 strictly and produces the following problem: 7.26/3.10 7.26/3.10 4: T: 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 1) evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ar_1, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ] 7.26/3.10 7.26/3.10 (Comp: 2, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 2, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: ?, Cost: 1) evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 2, Cost: 1) evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.10 7.26/3.10 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.26/3.10 7.26/3.10 start location: koat_start 7.26/3.10 7.26/3.10 leaf cost: 0 7.26/3.10 7.26/3.10 7.26/3.10 7.26/3.10 A polynomial rank function with 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb7in) = 3 7.26/3.10 7.26/3.10 Pol(evalrealbubble31) = 2 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb6in) = 4 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb5in) = 5 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb2in) = 5 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb4in) = 5 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb3in) = 5 7.26/3.10 7.26/3.10 Pol(evalrealbubble32) = 1 7.26/3.10 7.26/3.10 Pol(evalrealbubblebb1in) = 0 7.26/3.10 7.26/3.10 and size complexities 7.26/3.10 7.26/3.10 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-0) = ar_0 7.26/3.10 7.26/3.10 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 + 2 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-4) = 0 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-5) = ar_5 + 2 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-5) = ar_5 + 2 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-4) = ar_4 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-5) = ar_5 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-2) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-3) = 0 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-4) = 0 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-5) = ar_5 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-6) = ? 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 orients the transitions 7.26/3.11 7.26/3.11 evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1)) 7.26/3.11 7.26/3.11 evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.26/3.11 7.26/3.11 evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ] 7.26/3.11 7.26/3.11 evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6)) 7.26/3.11 7.26/3.11 evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6)) 7.26/3.11 7.26/3.11 evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ] 7.26/3.11 7.26/3.11 evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ] 7.26/3.11 7.26/3.11 evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ] 7.26/3.11 7.26/3.11 evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ] 7.26/3.11 7.26/3.11 evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 weakly and the transitions 7.26/3.11 7.26/3.11 evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1)) 7.26/3.11 7.26/3.11 evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.26/3.11 7.26/3.11 evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ] 7.26/3.11 7.26/3.11 evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ] 7.26/3.11 7.26/3.11 evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 strictly and produces the following problem: 7.26/3.11 7.26/3.11 5: T: 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: ar_1, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ] 7.26/3.11 7.26/3.11 (Comp: 2, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ] 7.26/3.11 7.26/3.11 (Comp: ?, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ] 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ] 7.26/3.11 7.26/3.11 (Comp: ?, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ] 7.26/3.11 7.26/3.11 (Comp: ?, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ] 7.26/3.11 7.26/3.11 (Comp: ?, Cost: 1) evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6)) 7.26/3.11 7.26/3.11 (Comp: ?, Cost: 1) evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 2, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ] 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ] 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1)) 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 2, Cost: 1) evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.26/3.11 7.26/3.11 start location: koat_start 7.26/3.11 7.26/3.11 leaf cost: 0 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 A polynomial rank function with 7.26/3.11 7.26/3.11 Pol(evalrealbubblebb5in) = V_3 - V_4 7.26/3.11 7.26/3.11 Pol(evalrealbubblebb2in) = V_3 - V_4 + 1 7.26/3.11 7.26/3.11 Pol(evalrealbubblebb4in) = V_3 - V_4 7.26/3.11 7.26/3.11 Pol(evalrealbubblebb3in) = V_3 - V_4 7.26/3.11 7.26/3.11 and size complexities 7.26/3.11 7.26/3.11 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-0) = ar_0 7.26/3.11 7.26/3.11 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = 6*ar_1 + 1296 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 + 2 7.26/3.11 7.26/3.11 S("evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = 6*ar_1 + 6*ar_6 + 1679616 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-2) = 6*ar_1 + 36 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6))", 0-6) = 6*ar_1 + 216 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = 6*ar_1 + 1296 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = 6*ar_1 + 36 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-2) = 6*ar_1 + 216 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1))", 0-6) = 6*ar_1 + 36 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-2) = 6*ar_1 + 36 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-6) = 6*ar_1 + 6*ar_6 + 279936 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-2) = 6*ar_1 + 36 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ]", 0-6) = 6*ar_1 + 6*ar_6 + 279936 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-2) = 6*ar_1 + 216 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-4) = 0 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ]", 0-6) = 6*ar_1 + 6*ar_6 + 279936 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-2) = 6*ar_1 + 36 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6))", 0-6) = 6*ar_1 + 6*ar_6 + 7776 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-2) = 6*ar_1 + 36 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6))", 0-6) = 6*ar_1 + 6*ar_6 + 7776 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-2) = 6*ar_1 + 36 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ]", 0-6) = 6*ar_1 + 6*ar_6 + 7776 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-2) = 6*ar_1 + 36 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-5) = ar_5 + 2 7.26/3.11 7.26/3.11 S("evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ]", 0-6) = 6*ar_1 + 6*ar_6 + 7776 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-2) = 6*ar_1 + 36 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-5) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ]", 0-6) = 6*ar_1 + 6*ar_6 + 46656 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-2) = 6*ar_1 + 36 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-4) = 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-5) = ar_5 + 2 7.26/3.11 7.26/3.11 S("evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ]", 0-6) = 6*ar_1 + 6*ar_6 + 7776 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-2) = 6*ar_1 + 216 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-3) = ? 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-4) = ar_4 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-5) = ar_5 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]", 0-6) = 6*ar_1 + 6*ar_6 + 1296 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-2) = 6*ar_1 + 36 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-3) = 0 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-4) = 0 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-5) = ar_5 + 1 7.26/3.11 7.26/3.11 S("evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ]", 0-6) = 6*ar_1 + 6*ar_6 + 1296 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 + 1 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.26/3.11 7.26/3.11 S("evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.26/3.11 7.26/3.11 orients the transitions 7.26/3.11 7.26/3.11 evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6)) 7.26/3.11 7.26/3.11 evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6)) 7.26/3.11 7.26/3.11 evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ] 7.26/3.11 7.26/3.11 evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ] 7.26/3.11 7.26/3.11 evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ] 7.26/3.11 7.26/3.11 weakly and the transition 7.26/3.11 7.26/3.11 evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ] 7.26/3.11 7.26/3.11 strictly and produces the following problem: 7.26/3.11 7.26/3.11 6: T: 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: ar_1, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ] 7.26/3.11 7.26/3.11 (Comp: 2, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ] 7.26/3.11 7.26/3.11 (Comp: 6*ar_1^2 + 37*ar_1, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ] 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ] 7.26/3.11 7.26/3.11 (Comp: ?, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ] 7.26/3.11 7.26/3.11 (Comp: ?, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ] 7.26/3.11 7.26/3.11 (Comp: ?, Cost: 1) evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6)) 7.26/3.11 7.26/3.11 (Comp: ?, Cost: 1) evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 2, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ] 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ] 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1)) 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 2, Cost: 1) evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.26/3.11 7.26/3.11 start location: koat_start 7.26/3.11 7.26/3.11 leaf cost: 0 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Repeatedly propagating knowledge in problem 6 produces the following problem: 7.26/3.11 7.26/3.11 7: T: 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble4(ar_1 - 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 1) evalrealbubble10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: ar_1, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, 0, 0, ar_5, ar_6)) [ ar_2 >= 1 ] 7.26/3.11 7.26/3.11 (Comp: 2, Cost: 1) evalrealbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ] 7.26/3.11 7.26/3.11 (Comp: 6*ar_1^2 + 37*ar_1, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 + 1 ] 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= ar_2 ] 7.26/3.11 7.26/3.11 (Comp: 6*ar_1^2 + 37*ar_1, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ h >= i + 1 ] 7.26/3.11 7.26/3.11 (Comp: 6*ar_1^2 + 37*ar_1, Cost: 1) evalrealbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4, ar_6)) [ i >= h ] 7.26/3.11 7.26/3.11 (Comp: 6*ar_1^2 + 37*ar_1, Cost: 1) evalrealbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, 1, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 12*ar_1^2 + 74*ar_1, Cost: 1) evalrealbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_5, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 2, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 = 0 ] 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_4 + 1 ] 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2 - 1)) 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubble31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 5*ar_1, Cost: 1) evalrealbubble32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblebb1in(ar_0, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 2, Cost: 1) evalrealbubblebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.26/3.11 7.26/3.11 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrealbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.26/3.11 7.26/3.11 start location: koat_start 7.26/3.11 7.26/3.11 leaf cost: 0 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Complexity upper bound 253*ar_1 + 36*ar_1^2 + 18 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Time: 0.575 sec (SMT: 0.311 sec) 7.26/3.11 7.26/3.11 7.26/3.11 ---------------------------------------- 7.26/3.11 7.26/3.11 (2) 7.26/3.11 BOUNDS(1, n^2) 7.26/3.11 7.26/3.11 ---------------------------------------- 7.26/3.11 7.26/3.11 (3) Loat Proof (FINISHED) 7.26/3.11 7.26/3.11 7.26/3.11 ### Pre-processing the ITS problem ### 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Initial linear ITS problem 7.26/3.11 7.26/3.11 Start location: evalrealbubblestart 7.26/3.11 7.26/3.11 0: evalrealbubblestart -> evalrealbubblebb0in : [], cost: 1 7.26/3.11 7.26/3.11 1: evalrealbubblebb0in -> evalrealbubble1 : [], cost: 1 7.26/3.11 7.26/3.11 2: evalrealbubble1 -> evalrealbubble2 : [], cost: 1 7.26/3.11 7.26/3.11 3: evalrealbubble2 -> evalrealbubble3 : [], cost: 1 7.26/3.11 7.26/3.11 4: evalrealbubble3 -> evalrealbubble4 : A'=-1+B, [], cost: 1 7.26/3.11 7.26/3.11 5: evalrealbubble4 -> evalrealbubble5 : [], cost: 1 7.26/3.11 7.26/3.11 6: evalrealbubble5 -> evalrealbubble6 : [], cost: 1 7.26/3.11 7.26/3.11 7: evalrealbubble6 -> evalrealbubble7 : [], cost: 1 7.26/3.11 7.26/3.11 8: evalrealbubble7 -> evalrealbubble8 : [], cost: 1 7.26/3.11 7.26/3.11 9: evalrealbubble8 -> evalrealbubble9 : [], cost: 1 7.26/3.11 7.26/3.11 10: evalrealbubble9 -> evalrealbubble10 : [], cost: 1 7.26/3.11 7.26/3.11 11: evalrealbubble10 -> evalrealbubblebb1in : C'=A, [], cost: 1 7.26/3.11 7.26/3.11 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 7.26/3.11 7.26/3.11 13: evalrealbubblebb1in -> evalrealbubblebb8in : [ 0>=C ], cost: 1 7.26/3.11 7.26/3.11 14: evalrealbubblebb2in -> evalrealbubblebb3in : [ C>=1+D ], cost: 1 7.26/3.11 7.26/3.11 15: evalrealbubblebb2in -> evalrealbubblebb6in : [ D>=C ], cost: 1 7.26/3.11 7.26/3.11 16: evalrealbubblebb3in -> evalrealbubblebb4in : [ free_1>=1+free ], cost: 1 7.26/3.11 7.26/3.11 17: evalrealbubblebb3in -> evalrealbubblebb5in : F'=E, [ free_2>=free_3 ], cost: 1 7.26/3.11 7.26/3.11 18: evalrealbubblebb4in -> evalrealbubblebb5in : F'=1, [], cost: 1 7.26/3.11 7.26/3.11 19: evalrealbubblebb5in -> evalrealbubblebb2in : D'=1+D, E'=F, [], cost: 1 7.26/3.11 7.26/3.11 20: evalrealbubblebb6in -> evalrealbubblebb8in : [ E==0 ], cost: 1 7.26/3.11 7.26/3.11 21: evalrealbubblebb6in -> evalrealbubblebb7in : [ 0>=1+E ], cost: 1 7.26/3.11 7.26/3.11 22: evalrealbubblebb6in -> evalrealbubblebb7in : [ E>=1 ], cost: 1 7.26/3.11 7.26/3.11 23: evalrealbubblebb7in -> evalrealbubble31 : G'=-1+C, [], cost: 1 7.26/3.11 7.26/3.11 24: evalrealbubble31 -> evalrealbubble32 : [], cost: 1 7.26/3.11 7.26/3.11 25: evalrealbubble32 -> evalrealbubblebb1in : C'=G, [], cost: 1 7.26/3.11 7.26/3.11 26: evalrealbubblebb8in -> evalrealbubblestop : [], cost: 1 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Removed unreachable and leaf rules: 7.26/3.11 7.26/3.11 Start location: evalrealbubblestart 7.26/3.11 7.26/3.11 0: evalrealbubblestart -> evalrealbubblebb0in : [], cost: 1 7.26/3.11 7.26/3.11 1: evalrealbubblebb0in -> evalrealbubble1 : [], cost: 1 7.26/3.11 7.26/3.11 2: evalrealbubble1 -> evalrealbubble2 : [], cost: 1 7.26/3.11 7.26/3.11 3: evalrealbubble2 -> evalrealbubble3 : [], cost: 1 7.26/3.11 7.26/3.11 4: evalrealbubble3 -> evalrealbubble4 : A'=-1+B, [], cost: 1 7.26/3.11 7.26/3.11 5: evalrealbubble4 -> evalrealbubble5 : [], cost: 1 7.26/3.11 7.26/3.11 6: evalrealbubble5 -> evalrealbubble6 : [], cost: 1 7.26/3.11 7.26/3.11 7: evalrealbubble6 -> evalrealbubble7 : [], cost: 1 7.26/3.11 7.26/3.11 8: evalrealbubble7 -> evalrealbubble8 : [], cost: 1 7.26/3.11 7.26/3.11 9: evalrealbubble8 -> evalrealbubble9 : [], cost: 1 7.26/3.11 7.26/3.11 10: evalrealbubble9 -> evalrealbubble10 : [], cost: 1 7.26/3.11 7.26/3.11 11: evalrealbubble10 -> evalrealbubblebb1in : C'=A, [], cost: 1 7.26/3.11 7.26/3.11 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 7.26/3.11 7.26/3.11 14: evalrealbubblebb2in -> evalrealbubblebb3in : [ C>=1+D ], cost: 1 7.26/3.11 7.26/3.11 15: evalrealbubblebb2in -> evalrealbubblebb6in : [ D>=C ], cost: 1 7.26/3.11 7.26/3.11 16: evalrealbubblebb3in -> evalrealbubblebb4in : [ free_1>=1+free ], cost: 1 7.26/3.11 7.26/3.11 17: evalrealbubblebb3in -> evalrealbubblebb5in : F'=E, [ free_2>=free_3 ], cost: 1 7.26/3.11 7.26/3.11 18: evalrealbubblebb4in -> evalrealbubblebb5in : F'=1, [], cost: 1 7.26/3.11 7.26/3.11 19: evalrealbubblebb5in -> evalrealbubblebb2in : D'=1+D, E'=F, [], cost: 1 7.26/3.11 7.26/3.11 21: evalrealbubblebb6in -> evalrealbubblebb7in : [ 0>=1+E ], cost: 1 7.26/3.11 7.26/3.11 22: evalrealbubblebb6in -> evalrealbubblebb7in : [ E>=1 ], cost: 1 7.26/3.11 7.26/3.11 23: evalrealbubblebb7in -> evalrealbubble31 : G'=-1+C, [], cost: 1 7.26/3.11 7.26/3.11 24: evalrealbubble31 -> evalrealbubble32 : [], cost: 1 7.26/3.11 7.26/3.11 25: evalrealbubble32 -> evalrealbubblebb1in : C'=G, [], cost: 1 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Simplified all rules, resulting in: 7.26/3.11 7.26/3.11 Start location: evalrealbubblestart 7.26/3.11 7.26/3.11 0: evalrealbubblestart -> evalrealbubblebb0in : [], cost: 1 7.26/3.11 7.26/3.11 1: evalrealbubblebb0in -> evalrealbubble1 : [], cost: 1 7.26/3.11 7.26/3.11 2: evalrealbubble1 -> evalrealbubble2 : [], cost: 1 7.26/3.11 7.26/3.11 3: evalrealbubble2 -> evalrealbubble3 : [], cost: 1 7.26/3.11 7.26/3.11 4: evalrealbubble3 -> evalrealbubble4 : A'=-1+B, [], cost: 1 7.26/3.11 7.26/3.11 5: evalrealbubble4 -> evalrealbubble5 : [], cost: 1 7.26/3.11 7.26/3.11 6: evalrealbubble5 -> evalrealbubble6 : [], cost: 1 7.26/3.11 7.26/3.11 7: evalrealbubble6 -> evalrealbubble7 : [], cost: 1 7.26/3.11 7.26/3.11 8: evalrealbubble7 -> evalrealbubble8 : [], cost: 1 7.26/3.11 7.26/3.11 9: evalrealbubble8 -> evalrealbubble9 : [], cost: 1 7.26/3.11 7.26/3.11 10: evalrealbubble9 -> evalrealbubble10 : [], cost: 1 7.26/3.11 7.26/3.11 11: evalrealbubble10 -> evalrealbubblebb1in : C'=A, [], cost: 1 7.26/3.11 7.26/3.11 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 7.26/3.11 7.26/3.11 14: evalrealbubblebb2in -> evalrealbubblebb3in : [ C>=1+D ], cost: 1 7.26/3.11 7.26/3.11 15: evalrealbubblebb2in -> evalrealbubblebb6in : [ D>=C ], cost: 1 7.26/3.11 7.26/3.11 16: evalrealbubblebb3in -> evalrealbubblebb4in : [], cost: 1 7.26/3.11 7.26/3.11 17: evalrealbubblebb3in -> evalrealbubblebb5in : F'=E, [], cost: 1 7.26/3.11 7.26/3.11 18: evalrealbubblebb4in -> evalrealbubblebb5in : F'=1, [], cost: 1 7.26/3.11 7.26/3.11 19: evalrealbubblebb5in -> evalrealbubblebb2in : D'=1+D, E'=F, [], cost: 1 7.26/3.11 7.26/3.11 21: evalrealbubblebb6in -> evalrealbubblebb7in : [ 0>=1+E ], cost: 1 7.26/3.11 7.26/3.11 22: evalrealbubblebb6in -> evalrealbubblebb7in : [ E>=1 ], cost: 1 7.26/3.11 7.26/3.11 23: evalrealbubblebb7in -> evalrealbubble31 : G'=-1+C, [], cost: 1 7.26/3.11 7.26/3.11 24: evalrealbubble31 -> evalrealbubble32 : [], cost: 1 7.26/3.11 7.26/3.11 25: evalrealbubble32 -> evalrealbubblebb1in : C'=G, [], cost: 1 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 ### Simplification by acceleration and chaining ### 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Eliminated locations (on linear paths): 7.26/3.11 7.26/3.11 Start location: evalrealbubblestart 7.26/3.11 7.26/3.11 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 7.26/3.11 7.26/3.11 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 7.26/3.11 7.26/3.11 14: evalrealbubblebb2in -> evalrealbubblebb3in : [ C>=1+D ], cost: 1 7.26/3.11 7.26/3.11 15: evalrealbubblebb2in -> evalrealbubblebb6in : [ D>=C ], cost: 1 7.26/3.11 7.26/3.11 17: evalrealbubblebb3in -> evalrealbubblebb5in : F'=E, [], cost: 1 7.26/3.11 7.26/3.11 38: evalrealbubblebb3in -> evalrealbubblebb5in : F'=1, [], cost: 2 7.26/3.11 7.26/3.11 19: evalrealbubblebb5in -> evalrealbubblebb2in : D'=1+D, E'=F, [], cost: 1 7.26/3.11 7.26/3.11 21: evalrealbubblebb6in -> evalrealbubblebb7in : [ 0>=1+E ], cost: 1 7.26/3.11 7.26/3.11 22: evalrealbubblebb6in -> evalrealbubblebb7in : [ E>=1 ], cost: 1 7.26/3.11 7.26/3.11 40: evalrealbubblebb7in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [], cost: 3 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Eliminated locations (on tree-shaped paths): 7.26/3.11 7.26/3.11 Start location: evalrealbubblestart 7.26/3.11 7.26/3.11 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 7.26/3.11 7.26/3.11 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 7.26/3.11 7.26/3.11 41: evalrealbubblebb2in -> evalrealbubblebb5in : F'=E, [ C>=1+D ], cost: 2 7.26/3.11 7.26/3.11 42: evalrealbubblebb2in -> evalrealbubblebb5in : F'=1, [ C>=1+D ], cost: 3 7.26/3.11 7.26/3.11 43: evalrealbubblebb2in -> evalrealbubblebb7in : [ D>=C && 0>=1+E ], cost: 2 7.26/3.11 7.26/3.11 44: evalrealbubblebb2in -> evalrealbubblebb7in : [ D>=C && E>=1 ], cost: 2 7.26/3.11 7.26/3.11 19: evalrealbubblebb5in -> evalrealbubblebb2in : D'=1+D, E'=F, [], cost: 1 7.26/3.11 7.26/3.11 40: evalrealbubblebb7in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [], cost: 3 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Eliminated locations (on tree-shaped paths): 7.26/3.11 7.26/3.11 Start location: evalrealbubblestart 7.26/3.11 7.26/3.11 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 7.26/3.11 7.26/3.11 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 7.26/3.11 7.26/3.11 45: evalrealbubblebb2in -> evalrealbubblebb2in : D'=1+D, E'=E, F'=E, [ C>=1+D ], cost: 3 7.26/3.11 7.26/3.11 46: evalrealbubblebb2in -> evalrealbubblebb2in : D'=1+D, E'=1, F'=1, [ C>=1+D ], cost: 4 7.26/3.11 7.26/3.11 47: evalrealbubblebb2in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [ D>=C && 0>=1+E ], cost: 5 7.26/3.11 7.26/3.11 48: evalrealbubblebb2in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [ D>=C && E>=1 ], cost: 5 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Accelerating simple loops of location 13. 7.26/3.11 7.26/3.11 Simplified some of the simple loops (and removed duplicate rules). 7.26/3.11 7.26/3.11 Accelerating the following rules: 7.26/3.11 7.26/3.11 45: evalrealbubblebb2in -> evalrealbubblebb2in : D'=1+D, F'=E, [ C>=1+D ], cost: 3 7.26/3.11 7.26/3.11 46: evalrealbubblebb2in -> evalrealbubblebb2in : D'=1+D, E'=1, F'=1, [ C>=1+D ], cost: 4 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Accelerated rule 45 with metering function C-D, yielding the new rule 49. 7.26/3.11 7.26/3.11 Accelerated rule 46 with metering function C-D, yielding the new rule 50. 7.26/3.11 7.26/3.11 Removing the simple loops: 45 46. 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Accelerated all simple loops using metering functions (where possible): 7.26/3.11 7.26/3.11 Start location: evalrealbubblestart 7.26/3.11 7.26/3.11 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 7.26/3.11 7.26/3.11 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 7.26/3.11 7.26/3.11 47: evalrealbubblebb2in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [ D>=C && 0>=1+E ], cost: 5 7.26/3.11 7.26/3.11 48: evalrealbubblebb2in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [ D>=C && E>=1 ], cost: 5 7.26/3.11 7.26/3.11 49: evalrealbubblebb2in -> evalrealbubblebb2in : D'=C, F'=E, [ C>=1+D ], cost: 3*C-3*D 7.26/3.11 7.26/3.11 50: evalrealbubblebb2in -> evalrealbubblebb2in : D'=C, E'=1, F'=1, [ C>=1+D ], cost: 4*C-4*D 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Chained accelerated rules (with incoming rules): 7.26/3.11 7.26/3.11 Start location: evalrealbubblestart 7.26/3.11 7.26/3.11 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 7.26/3.11 7.26/3.11 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 7.26/3.11 7.26/3.11 51: evalrealbubblebb1in -> evalrealbubblebb2in : D'=C, E'=0, F'=0, [ C>=1 ], cost: 1+3*C 7.26/3.11 7.26/3.11 52: evalrealbubblebb1in -> evalrealbubblebb2in : D'=C, E'=1, F'=1, [ C>=1 ], cost: 1+4*C 7.26/3.11 7.26/3.11 47: evalrealbubblebb2in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [ D>=C && 0>=1+E ], cost: 5 7.26/3.11 7.26/3.11 48: evalrealbubblebb2in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [ D>=C && E>=1 ], cost: 5 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Eliminated locations (on tree-shaped paths): 7.26/3.11 7.26/3.11 Start location: evalrealbubblestart 7.26/3.11 7.26/3.11 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 7.26/3.11 7.26/3.11 53: evalrealbubblebb1in -> evalrealbubblebb1in : C'=-1+C, D'=C, E'=1, F'=1, G'=-1+C, [ C>=1 ], cost: 6+4*C 7.26/3.11 7.26/3.11 54: evalrealbubblebb1in -> [24] : [ C>=1 ], cost: 1+3*C 7.26/3.11 7.26/3.11 55: evalrealbubblebb1in -> [24] : [ C>=1 ], cost: 1+4*C 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Accelerating simple loops of location 12. 7.26/3.11 7.26/3.11 Accelerating the following rules: 7.26/3.11 7.26/3.11 53: evalrealbubblebb1in -> evalrealbubblebb1in : C'=-1+C, D'=C, E'=1, F'=1, G'=-1+C, [ C>=1 ], cost: 6+4*C 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Accelerated rule 53 with metering function C, yielding the new rule 56. 7.26/3.11 7.26/3.11 Removing the simple loops: 53. 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Accelerated all simple loops using metering functions (where possible): 7.26/3.11 7.26/3.11 Start location: evalrealbubblestart 7.26/3.11 7.26/3.11 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 7.26/3.11 7.26/3.11 54: evalrealbubblebb1in -> [24] : [ C>=1 ], cost: 1+3*C 7.26/3.11 7.26/3.11 55: evalrealbubblebb1in -> [24] : [ C>=1 ], cost: 1+4*C 7.26/3.11 7.26/3.11 56: evalrealbubblebb1in -> evalrealbubblebb1in : C'=0, D'=1, E'=1, F'=1, G'=0, [ C>=1 ], cost: 2*C^2+8*C 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Chained accelerated rules (with incoming rules): 7.26/3.11 7.26/3.11 Start location: evalrealbubblestart 7.26/3.11 7.26/3.11 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 7.26/3.11 7.26/3.11 57: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=0, D'=1, E'=1, F'=1, G'=0, [ -1+B>=1 ], cost: 4+2*(-1+B)^2+8*B 7.26/3.11 7.26/3.11 54: evalrealbubblebb1in -> [24] : [ C>=1 ], cost: 1+3*C 7.26/3.11 7.26/3.11 55: evalrealbubblebb1in -> [24] : [ C>=1 ], cost: 1+4*C 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Eliminated locations (on tree-shaped paths): 7.26/3.11 7.26/3.11 Start location: evalrealbubblestart 7.26/3.11 7.26/3.11 58: evalrealbubblestart -> [24] : A'=-1+B, C'=-1+B, [ -1+B>=1 ], cost: 10+3*B 7.26/3.11 7.26/3.11 59: evalrealbubblestart -> [24] : A'=-1+B, C'=-1+B, [ -1+B>=1 ], cost: 9+4*B 7.26/3.11 7.26/3.11 60: evalrealbubblestart -> [26] : [ -1+B>=1 ], cost: 4+2*(-1+B)^2+8*B 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 ### Computing asymptotic complexity ### 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Fully simplified ITS problem 7.26/3.11 7.26/3.11 Start location: evalrealbubblestart 7.26/3.11 7.26/3.11 58: evalrealbubblestart -> [24] : A'=-1+B, C'=-1+B, [ -1+B>=1 ], cost: 10+3*B 7.26/3.11 7.26/3.11 59: evalrealbubblestart -> [24] : A'=-1+B, C'=-1+B, [ -1+B>=1 ], cost: 9+4*B 7.26/3.11 7.26/3.11 60: evalrealbubblestart -> [26] : [ -1+B>=1 ], cost: 4+2*(-1+B)^2+8*B 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Computing asymptotic complexity for rule 58 7.26/3.11 7.26/3.11 Solved the limit problem by the following transformations: 7.26/3.11 7.26/3.11 Created initial limit problem: 7.26/3.11 7.26/3.11 -1+B (+/+!), 10+3*B (+) [not solved] 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 removing all constraints (solved by SMT) 7.26/3.11 7.26/3.11 resulting limit problem: [solved] 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 applying transformation rule (C) using substitution {B==n} 7.26/3.11 7.26/3.11 resulting limit problem: 7.26/3.11 7.26/3.11 [solved] 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Solution: 7.26/3.11 7.26/3.11 B / n 7.26/3.11 7.26/3.11 Resulting cost 10+3*n has complexity: Poly(n^1) 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Found new complexity Poly(n^1). 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Computing asymptotic complexity for rule 60 7.26/3.11 7.26/3.11 Solved the limit problem by the following transformations: 7.26/3.11 7.26/3.11 Created initial limit problem: 7.26/3.11 7.26/3.11 -1+B (+/+!), 6+2*B^2+4*B (+) [not solved] 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 removing all constraints (solved by SMT) 7.26/3.11 7.26/3.11 resulting limit problem: [solved] 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 applying transformation rule (C) using substitution {B==n} 7.26/3.11 7.26/3.11 resulting limit problem: 7.26/3.11 7.26/3.11 [solved] 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Solution: 7.26/3.11 7.26/3.11 B / n 7.26/3.11 7.26/3.11 Resulting cost 6+4*n+2*n^2 has complexity: Poly(n^2) 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Found new complexity Poly(n^2). 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 Obtained the following overall complexity (w.r.t. the length of the input n): 7.26/3.11 7.26/3.11 Complexity: Poly(n^2) 7.26/3.11 7.26/3.11 Cpx degree: 2 7.26/3.11 7.26/3.11 Solved cost: 6+4*n+2*n^2 7.26/3.11 7.26/3.11 Rule cost: 4+2*(-1+B)^2+8*B 7.26/3.11 7.26/3.11 Rule guard: [ -1+B>=1 ] 7.26/3.11 7.26/3.11 7.26/3.11 7.26/3.11 WORST_CASE(Omega(n^2),?) 7.26/3.11 7.26/3.11 7.26/3.11 ---------------------------------------- 7.26/3.11 7.26/3.11 (4) 7.26/3.11 BOUNDS(n^2, INF) 7.26/3.13 EOF