/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^2), O(n^2)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^2, n^2). (0) CpxIntTrs (1) Koat Proof [FINISHED, 493 ms] (2) BOUNDS(1, n^2) (3) Loat Proof [FINISHED, 1412 ms] (4) BOUNDS(n^2, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 The start-symbols are:[eval_realbubble_start_7] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 253*Ar_1 + 36*Ar_1^2 + 18) Initial complexity problem: 1: T: (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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)) (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)) (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 ] (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 ] (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 ] (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)) (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)) (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)) (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)) (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 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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)) (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)) (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 ] (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 ] (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 ] (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)) (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)) (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)) (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)) (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 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealbubblestart) = 2 Pol(evalrealbubblebb0in) = 2 Pol(evalrealbubble1) = 2 Pol(evalrealbubble2) = 2 Pol(evalrealbubble3) = 2 Pol(evalrealbubble4) = 2 Pol(evalrealbubble5) = 2 Pol(evalrealbubble6) = 2 Pol(evalrealbubble7) = 2 Pol(evalrealbubble8) = 2 Pol(evalrealbubble9) = 2 Pol(evalrealbubble10) = 2 Pol(evalrealbubblebb1in) = 2 Pol(evalrealbubblebb2in) = 2 Pol(evalrealbubblebb8in) = 1 Pol(evalrealbubblebb3in) = 2 Pol(evalrealbubblebb6in) = 2 Pol(evalrealbubblebb4in) = 2 Pol(evalrealbubblebb5in) = 2 Pol(evalrealbubblebb7in) = 2 Pol(evalrealbubble31) = 2 Pol(evalrealbubble32) = 2 Pol(evalrealbubblestop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions 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)) 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 ] 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 ] strictly and produces the following problem: 3: T: (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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)) (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)) (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 ] (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 ] (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 ] (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)) (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)) (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)) (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)) (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 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealbubblestart) = V_2 Pol(evalrealbubblebb0in) = V_2 Pol(evalrealbubble1) = V_2 Pol(evalrealbubble2) = V_2 Pol(evalrealbubble3) = V_2 Pol(evalrealbubble4) = V_1 + 1 Pol(evalrealbubble5) = V_1 + 1 Pol(evalrealbubble6) = V_1 + 1 Pol(evalrealbubble7) = V_1 + 1 Pol(evalrealbubble8) = V_1 + 1 Pol(evalrealbubble9) = V_1 + 1 Pol(evalrealbubble10) = V_1 + 1 Pol(evalrealbubblebb1in) = V_3 Pol(evalrealbubblebb2in) = V_3 - 1 Pol(evalrealbubblebb8in) = V_3 - 1 Pol(evalrealbubblebb3in) = V_3 - 1 Pol(evalrealbubblebb6in) = V_3 - 1 Pol(evalrealbubblebb4in) = V_3 - 1 Pol(evalrealbubblebb5in) = V_3 - 1 Pol(evalrealbubblebb7in) = V_3 - 1 Pol(evalrealbubble31) = V_7 Pol(evalrealbubble32) = V_7 Pol(evalrealbubblestop) = V_3 - 1 Pol(koat_start) = V_2 orients all transitions weakly and the transition 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 ] strictly and produces the following problem: 4: T: (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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)) (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)) (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 ] (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 ] (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 ] (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)) (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)) (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)) (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)) (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 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealbubblebb7in) = 3 Pol(evalrealbubble31) = 2 Pol(evalrealbubblebb6in) = 4 Pol(evalrealbubblebb5in) = 5 Pol(evalrealbubblebb2in) = 5 Pol(evalrealbubblebb4in) = 5 Pol(evalrealbubblebb3in) = 5 Pol(evalrealbubble32) = 1 Pol(evalrealbubblebb1in) = 0 and size complexities 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 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 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 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 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 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 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 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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) = ? 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 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 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) = ? 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 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 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) = ? 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 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 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 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) = ? 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 orients the transitions 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)) 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 ] 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 ] 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)) 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)) 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 ] 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 ] 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 ] 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 ] 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)) 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)) weakly and the transitions 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)) 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 ] 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 ] 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 ] 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)) 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)) strictly and produces the following problem: 5: T: (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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)) (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)) (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 ] (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 ] (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 ] (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)) (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)) (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)) (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)) (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 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealbubblebb5in) = V_3 - V_4 Pol(evalrealbubblebb2in) = V_3 - V_4 + 1 Pol(evalrealbubblebb4in) = V_3 - V_4 Pol(evalrealbubblebb3in) = V_3 - V_4 and size complexities 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 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 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 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 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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) = ? 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 orients the transitions 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)) 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)) 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 ] 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 ] 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 ] weakly and the transition 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 ] strictly and produces the following problem: 6: T: (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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)) (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)) (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 ] (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 ] (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 ] (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)) (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)) (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)) (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)) (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 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 6 produces the following problem: 7: T: (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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)) (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)) (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 ] (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 ] (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 ] (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)) (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)) (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)) (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)) (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 ] start location: koat_start leaf cost: 0 Complexity upper bound 253*Ar_1 + 36*Ar_1^2 + 18 Time: 0.490 sec (SMT: 0.229 sec) ---------------------------------------- (2) BOUNDS(1, n^2) ---------------------------------------- (3) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: evalrealbubblestart 0: evalrealbubblestart -> evalrealbubblebb0in : [], cost: 1 1: evalrealbubblebb0in -> evalrealbubble1 : [], cost: 1 2: evalrealbubble1 -> evalrealbubble2 : [], cost: 1 3: evalrealbubble2 -> evalrealbubble3 : [], cost: 1 4: evalrealbubble3 -> evalrealbubble4 : A'=-1+B, [], cost: 1 5: evalrealbubble4 -> evalrealbubble5 : [], cost: 1 6: evalrealbubble5 -> evalrealbubble6 : [], cost: 1 7: evalrealbubble6 -> evalrealbubble7 : [], cost: 1 8: evalrealbubble7 -> evalrealbubble8 : [], cost: 1 9: evalrealbubble8 -> evalrealbubble9 : [], cost: 1 10: evalrealbubble9 -> evalrealbubble10 : [], cost: 1 11: evalrealbubble10 -> evalrealbubblebb1in : C'=A, [], cost: 1 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 13: evalrealbubblebb1in -> evalrealbubblebb8in : [ 0>=C ], cost: 1 14: evalrealbubblebb2in -> evalrealbubblebb3in : [ C>=1+D ], cost: 1 15: evalrealbubblebb2in -> evalrealbubblebb6in : [ D>=C ], cost: 1 16: evalrealbubblebb3in -> evalrealbubblebb4in : [ free>=1+free_1 ], cost: 1 17: evalrealbubblebb3in -> evalrealbubblebb5in : F'=E, [ free_3>=free_2 ], cost: 1 18: evalrealbubblebb4in -> evalrealbubblebb5in : F'=1, [], cost: 1 19: evalrealbubblebb5in -> evalrealbubblebb2in : D'=1+D, E'=F, [], cost: 1 20: evalrealbubblebb6in -> evalrealbubblebb8in : [ E==0 ], cost: 1 21: evalrealbubblebb6in -> evalrealbubblebb7in : [ 0>=1+E ], cost: 1 22: evalrealbubblebb6in -> evalrealbubblebb7in : [ E>=1 ], cost: 1 23: evalrealbubblebb7in -> evalrealbubble31 : G'=-1+C, [], cost: 1 24: evalrealbubble31 -> evalrealbubble32 : [], cost: 1 25: evalrealbubble32 -> evalrealbubblebb1in : C'=G, [], cost: 1 26: evalrealbubblebb8in -> evalrealbubblestop : [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 0: evalrealbubblestart -> evalrealbubblebb0in : [], cost: 1 Removed unreachable and leaf rules: Start location: evalrealbubblestart 0: evalrealbubblestart -> evalrealbubblebb0in : [], cost: 1 1: evalrealbubblebb0in -> evalrealbubble1 : [], cost: 1 2: evalrealbubble1 -> evalrealbubble2 : [], cost: 1 3: evalrealbubble2 -> evalrealbubble3 : [], cost: 1 4: evalrealbubble3 -> evalrealbubble4 : A'=-1+B, [], cost: 1 5: evalrealbubble4 -> evalrealbubble5 : [], cost: 1 6: evalrealbubble5 -> evalrealbubble6 : [], cost: 1 7: evalrealbubble6 -> evalrealbubble7 : [], cost: 1 8: evalrealbubble7 -> evalrealbubble8 : [], cost: 1 9: evalrealbubble8 -> evalrealbubble9 : [], cost: 1 10: evalrealbubble9 -> evalrealbubble10 : [], cost: 1 11: evalrealbubble10 -> evalrealbubblebb1in : C'=A, [], cost: 1 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 14: evalrealbubblebb2in -> evalrealbubblebb3in : [ C>=1+D ], cost: 1 15: evalrealbubblebb2in -> evalrealbubblebb6in : [ D>=C ], cost: 1 16: evalrealbubblebb3in -> evalrealbubblebb4in : [ free>=1+free_1 ], cost: 1 17: evalrealbubblebb3in -> evalrealbubblebb5in : F'=E, [ free_3>=free_2 ], cost: 1 18: evalrealbubblebb4in -> evalrealbubblebb5in : F'=1, [], cost: 1 19: evalrealbubblebb5in -> evalrealbubblebb2in : D'=1+D, E'=F, [], cost: 1 21: evalrealbubblebb6in -> evalrealbubblebb7in : [ 0>=1+E ], cost: 1 22: evalrealbubblebb6in -> evalrealbubblebb7in : [ E>=1 ], cost: 1 23: evalrealbubblebb7in -> evalrealbubble31 : G'=-1+C, [], cost: 1 24: evalrealbubble31 -> evalrealbubble32 : [], cost: 1 25: evalrealbubble32 -> evalrealbubblebb1in : C'=G, [], cost: 1 Simplified all rules, resulting in: Start location: evalrealbubblestart 0: evalrealbubblestart -> evalrealbubblebb0in : [], cost: 1 1: evalrealbubblebb0in -> evalrealbubble1 : [], cost: 1 2: evalrealbubble1 -> evalrealbubble2 : [], cost: 1 3: evalrealbubble2 -> evalrealbubble3 : [], cost: 1 4: evalrealbubble3 -> evalrealbubble4 : A'=-1+B, [], cost: 1 5: evalrealbubble4 -> evalrealbubble5 : [], cost: 1 6: evalrealbubble5 -> evalrealbubble6 : [], cost: 1 7: evalrealbubble6 -> evalrealbubble7 : [], cost: 1 8: evalrealbubble7 -> evalrealbubble8 : [], cost: 1 9: evalrealbubble8 -> evalrealbubble9 : [], cost: 1 10: evalrealbubble9 -> evalrealbubble10 : [], cost: 1 11: evalrealbubble10 -> evalrealbubblebb1in : C'=A, [], cost: 1 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 14: evalrealbubblebb2in -> evalrealbubblebb3in : [ C>=1+D ], cost: 1 15: evalrealbubblebb2in -> evalrealbubblebb6in : [ D>=C ], cost: 1 16: evalrealbubblebb3in -> evalrealbubblebb4in : [], cost: 1 17: evalrealbubblebb3in -> evalrealbubblebb5in : F'=E, [], cost: 1 18: evalrealbubblebb4in -> evalrealbubblebb5in : F'=1, [], cost: 1 19: evalrealbubblebb5in -> evalrealbubblebb2in : D'=1+D, E'=F, [], cost: 1 21: evalrealbubblebb6in -> evalrealbubblebb7in : [ 0>=1+E ], cost: 1 22: evalrealbubblebb6in -> evalrealbubblebb7in : [ E>=1 ], cost: 1 23: evalrealbubblebb7in -> evalrealbubble31 : G'=-1+C, [], cost: 1 24: evalrealbubble31 -> evalrealbubble32 : [], cost: 1 25: evalrealbubble32 -> evalrealbubblebb1in : C'=G, [], cost: 1 ### Simplification by acceleration and chaining ### Eliminated locations (on linear paths): Start location: evalrealbubblestart 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 14: evalrealbubblebb2in -> evalrealbubblebb3in : [ C>=1+D ], cost: 1 15: evalrealbubblebb2in -> evalrealbubblebb6in : [ D>=C ], cost: 1 17: evalrealbubblebb3in -> evalrealbubblebb5in : F'=E, [], cost: 1 38: evalrealbubblebb3in -> evalrealbubblebb5in : F'=1, [], cost: 2 19: evalrealbubblebb5in -> evalrealbubblebb2in : D'=1+D, E'=F, [], cost: 1 21: evalrealbubblebb6in -> evalrealbubblebb7in : [ 0>=1+E ], cost: 1 22: evalrealbubblebb6in -> evalrealbubblebb7in : [ E>=1 ], cost: 1 40: evalrealbubblebb7in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [], cost: 3 Eliminated locations (on tree-shaped paths): Start location: evalrealbubblestart 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 41: evalrealbubblebb2in -> evalrealbubblebb5in : F'=E, [ C>=1+D ], cost: 2 42: evalrealbubblebb2in -> evalrealbubblebb5in : F'=1, [ C>=1+D ], cost: 3 43: evalrealbubblebb2in -> evalrealbubblebb7in : [ D>=C && 0>=1+E ], cost: 2 44: evalrealbubblebb2in -> evalrealbubblebb7in : [ D>=C && E>=1 ], cost: 2 19: evalrealbubblebb5in -> evalrealbubblebb2in : D'=1+D, E'=F, [], cost: 1 40: evalrealbubblebb7in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [], cost: 3 Eliminated locations (on tree-shaped paths): Start location: evalrealbubblestart 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 45: evalrealbubblebb2in -> evalrealbubblebb2in : D'=1+D, E'=E, F'=E, [ C>=1+D ], cost: 3 46: evalrealbubblebb2in -> evalrealbubblebb2in : D'=1+D, E'=1, F'=1, [ C>=1+D ], cost: 4 47: evalrealbubblebb2in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [ D>=C && 0>=1+E ], cost: 5 48: evalrealbubblebb2in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [ D>=C && E>=1 ], cost: 5 Accelerating simple loops of location 13. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 45: evalrealbubblebb2in -> evalrealbubblebb2in : D'=1+D, F'=E, [ C>=1+D ], cost: 3 46: evalrealbubblebb2in -> evalrealbubblebb2in : D'=1+D, E'=1, F'=1, [ C>=1+D ], cost: 4 Accelerated rule 45 with metering function C-D, yielding the new rule 49. Accelerated rule 46 with metering function C-D, yielding the new rule 50. Removing the simple loops: 45 46. Accelerated all simple loops using metering functions (where possible): Start location: evalrealbubblestart 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 47: evalrealbubblebb2in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [ D>=C && 0>=1+E ], cost: 5 48: evalrealbubblebb2in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [ D>=C && E>=1 ], cost: 5 49: evalrealbubblebb2in -> evalrealbubblebb2in : D'=C, F'=E, [ C>=1+D ], cost: 3*C-3*D 50: evalrealbubblebb2in -> evalrealbubblebb2in : D'=C, E'=1, F'=1, [ C>=1+D ], cost: 4*C-4*D Chained accelerated rules (with incoming rules): Start location: evalrealbubblestart 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 12: evalrealbubblebb1in -> evalrealbubblebb2in : D'=0, E'=0, [ C>=1 ], cost: 1 51: evalrealbubblebb1in -> evalrealbubblebb2in : D'=C, E'=0, F'=0, [ C>=1 ], cost: 1+3*C 52: evalrealbubblebb1in -> evalrealbubblebb2in : D'=C, E'=1, F'=1, [ C>=1 ], cost: 1+4*C 47: evalrealbubblebb2in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [ D>=C && 0>=1+E ], cost: 5 48: evalrealbubblebb2in -> evalrealbubblebb1in : C'=-1+C, G'=-1+C, [ D>=C && E>=1 ], cost: 5 Eliminated locations (on tree-shaped paths): Start location: evalrealbubblestart 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 53: evalrealbubblebb1in -> evalrealbubblebb1in : C'=-1+C, D'=C, E'=1, F'=1, G'=-1+C, [ C>=1 ], cost: 6+4*C 54: evalrealbubblebb1in -> [24] : [ C>=1 ], cost: 1+3*C 55: evalrealbubblebb1in -> [24] : [ C>=1 ], cost: 1+4*C Accelerating simple loops of location 12. Accelerating the following rules: 53: evalrealbubblebb1in -> evalrealbubblebb1in : C'=-1+C, D'=C, E'=1, F'=1, G'=-1+C, [ C>=1 ], cost: 6+4*C Accelerated rule 53 with metering function C, yielding the new rule 56. Removing the simple loops: 53. Accelerated all simple loops using metering functions (where possible): Start location: evalrealbubblestart 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 54: evalrealbubblebb1in -> [24] : [ C>=1 ], cost: 1+3*C 55: evalrealbubblebb1in -> [24] : [ C>=1 ], cost: 1+4*C 56: evalrealbubblebb1in -> evalrealbubblebb1in : C'=0, D'=1, E'=1, F'=1, G'=0, [ C>=1 ], cost: 8*C+2*C^2 Chained accelerated rules (with incoming rules): Start location: evalrealbubblestart 37: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=-1+B, [], cost: 12 57: evalrealbubblestart -> evalrealbubblebb1in : A'=-1+B, C'=0, D'=1, E'=1, F'=1, G'=0, [ -1+B>=1 ], cost: 4+8*B+2*(-1+B)^2 54: evalrealbubblebb1in -> [24] : [ C>=1 ], cost: 1+3*C 55: evalrealbubblebb1in -> [24] : [ C>=1 ], cost: 1+4*C Eliminated locations (on tree-shaped paths): Start location: evalrealbubblestart 58: evalrealbubblestart -> [24] : A'=-1+B, C'=-1+B, [ -1+B>=1 ], cost: 10+3*B 59: evalrealbubblestart -> [24] : A'=-1+B, C'=-1+B, [ -1+B>=1 ], cost: 9+4*B 60: evalrealbubblestart -> [26] : [ -1+B>=1 ], cost: 4+8*B+2*(-1+B)^2 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: evalrealbubblestart 58: evalrealbubblestart -> [24] : A'=-1+B, C'=-1+B, [ -1+B>=1 ], cost: 10+3*B 59: evalrealbubblestart -> [24] : A'=-1+B, C'=-1+B, [ -1+B>=1 ], cost: 9+4*B 60: evalrealbubblestart -> [26] : [ -1+B>=1 ], cost: 4+8*B+2*(-1+B)^2 Computing asymptotic complexity for rule 58 Solved the limit problem by the following transformations: Created initial limit problem: 10+3*B (+), -1+B (+/+!) [not solved] removing all constraints (solved by SMT) resulting limit problem: [solved] applying transformation rule (C) using substitution {B==n} resulting limit problem: [solved] Solution: B / n Resulting cost 10+3*n has complexity: Poly(n^1) Found new complexity Poly(n^1). Computing asymptotic complexity for rule 60 Solved the limit problem by the following transformations: Created initial limit problem: -1+B (+/+!), 6+4*B+2*B^2 (+) [not solved] removing all constraints (solved by SMT) resulting limit problem: [solved] applying transformation rule (C) using substitution {B==n} resulting limit problem: [solved] Solution: B / n Resulting cost 6+4*n+2*n^2 has complexity: Poly(n^2) Found new complexity Poly(n^2). Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Poly(n^2) Cpx degree: 2 Solved cost: 6+4*n+2*n^2 Rule cost: 4+8*B+2*(-1+B)^2 Rule guard: [ -1+B>=1 ] WORST_CASE(Omega(n^2),?) ---------------------------------------- (4) BOUNDS(n^2, INF)