3.59/2.68 WORST_CASE(?, O(n^1)) 3.59/2.69 proof of /export/starexec/sandbox/output/output_files/bench.koat 3.59/2.69 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.59/2.69 3.59/2.69 3.59/2.69 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 3.59/2.69 3.59/2.69 (0) CpxIntTrs 3.59/2.69 (1) Koat Proof [FINISHED, 1376 ms] 3.59/2.69 (2) BOUNDS(1, n^1) 3.59/2.69 3.59/2.69 3.59/2.69 ---------------------------------------- 3.59/2.69 3.59/2.69 (0) 3.59/2.69 Obligation: 3.59/2.69 Complexity Int TRS consisting of the following rules: 3.59/2.69 eval_Loopus2014_ex2_start(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb0_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: TRUE 3.59/2.69 eval_Loopus2014_ex2_bb0_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_.critedge_in(v_1, v_2, v_6, v_m, v_m, 0, v_n.1)) :|: TRUE 3.59/2.69 eval_Loopus2014_ex2_.critedge_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb1_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: v_i.0 > 0 3.59/2.69 eval_Loopus2014_ex2_.critedge_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb6_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: v_i.0 <= 0 3.59/2.69 eval_Loopus2014_ex2_bb1_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_1(v_i.0 - 1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: TRUE 3.59/2.69 eval_Loopus2014_ex2_1(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_2(eval_nondet_start(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1), eval_Loopus2014_ex2_2(v_1, nondef.0, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: TRUE 3.59/2.69 eval_Loopus2014_ex2_2(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb2_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: v_2 > 0 3.59/2.69 eval_Loopus2014_ex2_2(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb3_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.0)) :|: v_2 <= 0 3.59/2.69 eval_Loopus2014_ex2_bb2_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_.critedge_in(v_1, v_2, v_6, v_1, v_m, v_n.0 + 1, v_n.1)) :|: TRUE 3.59/2.69 eval_Loopus2014_ex2_bb3_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb4_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: v_n.1 > 0 3.59/2.69 eval_Loopus2014_ex2_bb3_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_.critedge_in(v_1, v_2, v_6, v_1, v_m, v_n.1, v_n.1)) :|: v_n.1 <= 0 3.59/2.69 eval_Loopus2014_ex2_bb4_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_5(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: TRUE 3.59/2.69 eval_Loopus2014_ex2_5(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_2(eval_nondet_start(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1), eval_Loopus2014_ex2_6(v_1, v_2, nondef.1, v_i.0, v_m, v_n.0, v_n.1)) :|: TRUE 3.59/2.69 eval_Loopus2014_ex2_6(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb5_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: v_6 > 0 3.59/2.69 eval_Loopus2014_ex2_6(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_.critedge_in(v_1, v_2, v_6, v_1, v_m, v_n.1, v_n.1)) :|: v_6 <= 0 3.59/2.69 eval_Loopus2014_ex2_bb5_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb3_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1 - 1)) :|: TRUE 3.59/2.69 eval_Loopus2014_ex2_bb6_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_stop(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: TRUE 3.59/2.69 3.59/2.69 The start-symbols are:[eval_Loopus2014_ex2_start_7] 3.59/2.69 3.59/2.69 3.59/2.69 ---------------------------------------- 3.59/2.69 3.59/2.69 (1) Koat Proof (FINISHED) 3.59/2.69 YES(?, 238*ar_1 + 6) 3.59/2.69 3.59/2.69 3.59/2.69 3.59/2.69 Initial complexity problem: 3.59/2.69 3.59/2.69 1: T: 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2, ar_7)) [ 0 >= ar_4 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_7 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_7 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - 1, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.59/2.69 3.59/2.69 start location: koat_start 3.59/2.69 3.59/2.69 leaf cost: 0 3.59/2.69 3.59/2.69 3.59/2.69 3.59/2.69 Repeatedly propagating knowledge in problem 1 produces the following problem: 3.59/2.69 3.59/2.69 2: T: 3.59/2.69 3.59/2.69 (Comp: 1, Cost: 1) evalLoopus2014ex2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: 1, Cost: 1) evalLoopus2014ex2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2, ar_7)) [ 0 >= ar_4 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_7 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_7 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - 1, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.59/2.69 3.59/2.69 start location: koat_start 3.59/2.69 3.59/2.69 leaf cost: 0 3.59/2.69 3.59/2.69 3.59/2.69 3.59/2.69 A polynomial rank function with 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2start) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb0in) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2critedgein) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb1in) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb6in) = 1 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex21) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex210) = 0 3.59/2.69 3.59/2.69 Pol(evalnondetstart) = 0 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex211) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex22) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb2in) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb3in) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb4in) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex25) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex250) = 0 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex251) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex26) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb5in) = 2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2stop) = 0 3.59/2.69 3.59/2.69 Pol(koat_start) = 2 3.59/2.69 3.59/2.69 orients all transitions weakly and the transitions 3.59/2.69 3.59/2.69 evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_0 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 strictly and produces the following problem: 3.59/2.69 3.59/2.69 3: T: 3.59/2.69 3.59/2.69 (Comp: 1, Cost: 1) evalLoopus2014ex2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: 1, Cost: 1) evalLoopus2014ex2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: 2, Cost: 1) evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2, ar_7)) [ 0 >= ar_4 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_7 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_7 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - 1, ar_7)) 3.59/2.69 3.59/2.69 (Comp: 2, Cost: 1) evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.59/2.69 3.59/2.69 start location: koat_start 3.59/2.69 3.59/2.69 leaf cost: 0 3.59/2.69 3.59/2.69 3.59/2.69 3.59/2.69 Applied AI with 'oct' on problem 3 to obtain the following invariants: 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex21: X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex210: X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex211: X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex22: X_5 - X_6 >= 0 /\ -X_5 + X_6 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex25: X_3 - X_7 >= 0 /\ X_7 - 1 >= 0 /\ -X_5 + X_7 - 1 >= 0 /\ X_4 + X_7 - 1 >= 0 /\ X_3 + X_7 - 2 >= 0 /\ X_2 + X_7 - 2 >= 0 /\ X_1 + X_7 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex250: X_3 - X_7 >= 0 /\ X_7 - 1 >= 0 /\ -X_5 + X_7 - 1 >= 0 /\ X_4 + X_7 - 1 >= 0 /\ X_3 + X_7 - 2 >= 0 /\ X_2 + X_7 - 2 >= 0 /\ X_1 + X_7 - 2 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex251: X_3 - X_7 >= 0 /\ X_7 - 1 >= 0 /\ -X_5 + X_7 - 1 >= 0 /\ X_4 + X_7 - 1 >= 0 /\ X_3 + X_7 - 2 >= 0 /\ X_2 + X_7 - 2 >= 0 /\ X_1 + X_7 - 2 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex26: X_6 - X_8 >= 0 /\ -X_6 + X_8 >= 0 /\ X_3 - X_7 >= 0 /\ X_7 - 1 >= 0 /\ -X_5 + X_7 - 1 >= 0 /\ X_4 + X_7 - 1 >= 0 /\ X_3 + X_7 - 2 >= 0 /\ X_2 + X_7 - 2 >= 0 /\ X_1 + X_7 - 2 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex2bb1in: X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex2bb2in: X_5 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 1 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex2bb3in: X_3 - X_7 >= 0 /\ X_7 >= 0 /\ -X_5 + X_7 >= 0 /\ X_4 + X_7 >= 0 /\ X_3 + X_7 >= 0 /\ X_2 + X_7 - 1 >= 0 /\ X_1 + X_7 - 1 >= 0 /\ -X_5 + X_6 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex2bb4in: X_3 - X_7 >= 0 /\ X_7 - 1 >= 0 /\ -X_5 + X_7 - 1 >= 0 /\ X_4 + X_7 - 1 >= 0 /\ X_3 + X_7 - 2 >= 0 /\ X_2 + X_7 - 2 >= 0 /\ X_1 + X_7 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex2bb5in: X_6 - X_8 >= 0 /\ X_8 - 1 >= 0 /\ X_7 + X_8 - 2 >= 0 /\ X_6 + X_8 - 2 >= 0 /\ -X_6 + X_8 >= 0 /\ -X_5 + X_8 - 1 >= 0 /\ X_4 + X_8 - 1 >= 0 /\ X_3 + X_8 - 2 >= 0 /\ X_2 + X_8 - 2 >= 0 /\ X_1 + X_8 - 2 >= 0 /\ X_3 - X_7 >= 0 /\ X_7 - 1 >= 0 /\ X_6 + X_7 - 2 >= 0 /\ -X_5 + X_7 - 1 >= 0 /\ X_4 + X_7 - 1 >= 0 /\ X_3 + X_7 - 2 >= 0 /\ X_2 + X_7 - 2 >= 0 /\ X_1 + X_7 - 2 >= 0 /\ X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex2bb6in: X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ -X_1 + X_2 >= 0 /\ -X_1 >= 0 3.59/2.69 3.59/2.69 For symbol evalLoopus2014ex2critedgein: X_3 >= 0 /\ -X_1 + X_2 >= 0 3.59/2.69 3.59/2.69 3.59/2.69 3.59/2.69 3.59/2.69 3.59/2.69 This yielded the following problem: 3.59/2.69 3.59/2.69 4: T: 3.59/2.69 3.59/2.69 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.59/2.69 3.59/2.69 (Comp: 2, Cost: 1) evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ -ar_0 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - 1, ar_7)) [ ar_5 - ar_7 >= 0 /\ ar_7 - 1 >= 0 /\ ar_6 + ar_7 - 2 >= 0 /\ ar_5 + ar_7 - 2 >= 0 /\ -ar_5 + ar_7 >= 0 /\ -ar_4 + ar_7 - 1 >= 0 /\ ar_3 + ar_7 - 1 >= 0 /\ ar_2 + ar_7 - 2 >= 0 /\ ar_1 + ar_7 - 2 >= 0 /\ ar_0 + ar_7 - 2 >= 0 /\ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ ar_5 + ar_6 - 2 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_7 >= 0 /\ -ar_5 + ar_7 >= 0 /\ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_7 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_7 >= 0 /\ -ar_5 + ar_7 >= 0 /\ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_7 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5)) [ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 >= 0 /\ -ar_4 + ar_6 >= 0 /\ ar_3 + ar_6 >= 0 /\ ar_2 + ar_6 >= 0 /\ ar_1 + ar_6 - 1 >= 0 /\ ar_0 + ar_6 - 1 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_6 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 >= 0 /\ -ar_4 + ar_6 >= 0 /\ ar_3 + ar_6 >= 0 /\ ar_2 + ar_6 >= 0 /\ ar_1 + ar_6 - 1 >= 0 /\ ar_0 + ar_6 - 1 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_6 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_4 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_4 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: 2, Cost: 1) evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 ] 3.59/2.69 3.59/2.69 (Comp: ?, Cost: 1) evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: 1, Cost: 1) evalLoopus2014ex2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: 1, Cost: 1) evalLoopus2014ex2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 start location: koat_start 3.59/2.69 3.59/2.69 leaf cost: 0 3.59/2.69 3.59/2.69 3.59/2.69 3.59/2.69 A polynomial rank function with 3.59/2.69 3.59/2.69 Pol(koat_start) = 14*V_2 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2start) = 14*V_2 - 7 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb6in) = 14*V_1 + 7*V_3 - 7 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2stop) = 14*V_1 - 7 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb5in) = 14*V_4 + 7*V_7 - 5 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb3in) = 14*V_1 + 7*V_7 - 13 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex26) = 14*V_4 + 7*V_7 - 4 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2critedgein) = 14*V_1 + 7*V_3 - 7 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex25) = 14*V_1 + 7*V_7 - 15 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex250) = 1 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex251) = 14*V_4 + 7*V_7 - 3 3.59/2.69 3.59/2.69 Pol(evalnondetstart) = 0 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb4in) = 14*V_1 + 7*V_7 - 14 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb2in) = 7*V_3 + 14*V_4 + 1 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex22) = 2*V_1 + 7*V_3 + 12*V_4 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex21) = 5*V_1 + 7*V_3 + 9*V_4 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex210) = 1 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex211) = 2*V_1 + 7*V_3 + 12*V_4 + 1 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb1in) = 14*V_1 + 7*V_3 - 8 3.59/2.69 3.59/2.69 Pol(evalLoopus2014ex2bb0in) = 14*V_2 - 7 3.59/2.69 3.59/2.69 orients all transitions weakly and the transitions 3.59/2.69 3.59/2.69 evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - 1, ar_7)) [ ar_5 - ar_7 >= 0 /\ ar_7 - 1 >= 0 /\ ar_6 + ar_7 - 2 >= 0 /\ ar_5 + ar_7 - 2 >= 0 /\ -ar_5 + ar_7 >= 0 /\ -ar_4 + ar_7 - 1 >= 0 /\ ar_3 + ar_7 - 1 >= 0 /\ ar_2 + ar_7 - 2 >= 0 /\ ar_1 + ar_7 - 2 >= 0 /\ ar_0 + ar_7 - 2 >= 0 /\ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ ar_5 + ar_6 - 2 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 >= 0 /\ -ar_4 + ar_6 >= 0 /\ ar_3 + ar_6 >= 0 /\ ar_2 + ar_6 >= 0 /\ ar_1 + ar_6 - 1 >= 0 /\ ar_0 + ar_6 - 1 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_6 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 >= 0 /\ -ar_4 + ar_6 >= 0 /\ ar_3 + ar_6 >= 0 /\ ar_2 + ar_6 >= 0 /\ ar_1 + ar_6 - 1 >= 0 /\ ar_0 + ar_6 - 1 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_6 >= 1 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_7 >= 0 /\ -ar_5 + ar_7 >= 0 /\ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_7 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_7 >= 0 /\ -ar_5 + ar_7 >= 0 /\ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_7 >= 1 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5)) [ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_4 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_4 >= 1 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 strictly and produces the following problem: 3.59/2.69 3.59/2.69 5: T: 3.59/2.69 3.59/2.69 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.59/2.69 3.59/2.69 (Comp: 2, Cost: 1) evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ -ar_0 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - 1, ar_7)) [ ar_5 - ar_7 >= 0 /\ ar_7 - 1 >= 0 /\ ar_6 + ar_7 - 2 >= 0 /\ ar_5 + ar_7 - 2 >= 0 /\ -ar_5 + ar_7 >= 0 /\ -ar_4 + ar_7 - 1 >= 0 /\ ar_3 + ar_7 - 1 >= 0 /\ ar_2 + ar_7 - 2 >= 0 /\ ar_1 + ar_7 - 2 >= 0 /\ ar_0 + ar_7 - 2 >= 0 /\ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ ar_5 + ar_6 - 2 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_7 >= 0 /\ -ar_5 + ar_7 >= 0 /\ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_7 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_7 >= 0 /\ -ar_5 + ar_7 >= 0 /\ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_7 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5)) [ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 - 1 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 >= 0 /\ -ar_4 + ar_6 >= 0 /\ ar_3 + ar_6 >= 0 /\ ar_2 + ar_6 >= 0 /\ ar_1 + ar_6 - 1 >= 0 /\ ar_0 + ar_6 - 1 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_6 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_6 >= 0 /\ ar_6 >= 0 /\ -ar_4 + ar_6 >= 0 /\ ar_3 + ar_6 >= 0 /\ ar_2 + ar_6 >= 0 /\ ar_1 + ar_6 - 1 >= 0 /\ ar_0 + ar_6 - 1 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_6 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 1 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_4 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_4 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 3.59/2.69 3.59/2.69 (Comp: 2, Cost: 1) evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 ] 3.59/2.69 3.59/2.69 (Comp: 14*ar_1, Cost: 1) evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ] 3.59/2.69 3.59/2.69 (Comp: 1, Cost: 1) evalLoopus2014ex2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 (Comp: 1, Cost: 1) evalLoopus2014ex2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.59/2.69 3.59/2.69 start location: koat_start 3.59/2.69 3.59/2.69 leaf cost: 0 3.59/2.69 3.59/2.69 3.59/2.69 3.59/2.69 Complexity upper bound 238*ar_1 + 6 3.59/2.69 3.59/2.69 3.59/2.69 3.59/2.69 Time: 1.388 sec (SMT: 0.953 sec) 3.59/2.69 3.59/2.69 3.59/2.69 ---------------------------------------- 3.59/2.69 3.59/2.69 (2) 3.59/2.69 BOUNDS(1, n^1) 3.74/2.71 EOF