NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f31_0_loop_EQ : arg1'=arg1P_1, arg2'=arg2P_1, [ arg1>0 && arg2>-1 && arg2==arg1P_1 ], cost: 1 1: f31_0_loop_EQ -> f31_0_loop_EQ : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>5 && 1+arg1==arg1P_2 ], cost: 1 2: f31_0_loop_EQ -> f31_0_loop_EQ : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1>0 && arg1<6 && 0==arg1P_3 ], cost: 1 3: __init -> f1_0_main_Load : arg1'=arg1P_4, arg2'=arg2P_4, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 3: __init -> f1_0_main_Load : arg1'=arg1P_4, arg2'=arg2P_4, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f31_0_loop_EQ : arg1'=arg2, arg2'=arg2P_1, [ arg1>0 && arg2>-1 ], cost: 1 1: f31_0_loop_EQ -> f31_0_loop_EQ : arg1'=1+arg1, arg2'=arg2P_2, [ arg1>5 ], cost: 1 2: f31_0_loop_EQ -> f31_0_loop_EQ : arg1'=0, arg2'=arg2P_3, [ arg1>0 && arg1<6 ], cost: 1 3: __init -> f1_0_main_Load : arg1'=arg1P_4, arg2'=arg2P_4, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 1. Accelerating the following rules: 1: f31_0_loop_EQ -> f31_0_loop_EQ : arg1'=1+arg1, arg2'=arg2P_2, [ arg1>5 ], cost: 1 2: f31_0_loop_EQ -> f31_0_loop_EQ : arg1'=0, arg2'=arg2P_3, [ arg1>0 && arg1<6 ], cost: 1 Accelerated rule 1 with NONTERM, yielding the new rule 4. Accelerated rule 2 with metering function meter (where 5*meter==arg1), yielding the new rule 5. Removing the simple loops: 1 2. Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f31_0_loop_EQ : arg1'=arg2, arg2'=arg2P_1, [ arg1>0 && arg2>-1 ], cost: 1 4: f31_0_loop_EQ -> [3] : [ arg1>5 ], cost: NONTERM 5: f31_0_loop_EQ -> f31_0_loop_EQ : arg1'=0, arg2'=arg2P_3, [ arg1>0 && arg1<6 && 5*meter==arg1 && meter>=1 ], cost: meter 3: __init -> f1_0_main_Load : arg1'=arg1P_4, arg2'=arg2P_4, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f31_0_loop_EQ : arg1'=arg2, arg2'=arg2P_1, [ arg1>0 && arg2>-1 ], cost: 1 6: f1_0_main_Load -> [3] : arg1'=arg2, arg2'=arg2P_1, [ arg1>0 && arg2>5 ], cost: NONTERM 7: f1_0_main_Load -> f31_0_loop_EQ : arg1'=0, arg2'=arg2P_3, [ arg1>0 && arg2>0 && arg2<6 && 5*meter==arg2 && meter>=1 ], cost: 1+meter 3: __init -> f1_0_main_Load : arg1'=arg1P_4, arg2'=arg2P_4, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 6: f1_0_main_Load -> [3] : arg1'=arg2, arg2'=arg2P_1, [ arg1>0 && arg2>5 ], cost: NONTERM 7: f1_0_main_Load -> f31_0_loop_EQ : arg1'=0, arg2'=arg2P_3, [ arg1>0 && arg2>0 && arg2<6 && 5*meter==arg2 && meter>=1 ], cost: 1+meter 3: __init -> f1_0_main_Load : arg1'=arg1P_4, arg2'=arg2P_4, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 8: __init -> [3] : arg1'=arg2P_4, arg2'=arg2P_1, [ arg1P_4>0 && arg2P_4>5 ], cost: NONTERM 9: __init -> f31_0_loop_EQ : arg1'=0, arg2'=arg2P_3, [ arg1P_4>0 && arg2P_4>0 && arg2P_4<6 && 5*meter==arg2P_4 && meter>=1 ], cost: 2+meter ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 8: __init -> [3] : arg1'=arg2P_4, arg2'=arg2P_1, [ arg1P_4>0 && arg2P_4>5 ], cost: NONTERM 9: __init -> f31_0_loop_EQ : arg1'=0, arg2'=arg2P_3, [ arg1P_4>0 && arg2P_4>0 && arg2P_4<6 && 5*meter==arg2P_4 && meter>=1 ], cost: 2+meter Computing asymptotic complexity for rule 8 Guard is satisfiable, yielding nontermination Resulting cost NONTERM has complexity: Nonterm Found new complexity Nonterm. Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: [ arg1P_4>0 && arg2P_4>5 ] NO