NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P_1, arg2'=arg2P_1, [ x7_1>-1 && arg2>1 && x8_1-2*x9_1==0 && x8_1>-1 && arg1>0 && arg1==arg1P_1 && arg2==arg2P_1 ], cost: 1 1: f1_0_main_Load\' -> f128_0_loop_GE : arg1'=arg1P_2, arg2'=arg2P_2, [ x12_1>-1 && arg2>1 && x13_1-2*x14_1==0 && x13_1>-1 && arg1>0 && x13_1-2*x14_1<2 && x13_1-2*x14_1>=0 && -x12_1==arg1P_2 ], cost: 1 2: f128_0_loop_GE -> f128_0_loop_GE : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1<0 && -1+arg1==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 -> f1_0_main_Load\' : [ arg2>1 && 2*x9_1>-1 && arg1>0 ], cost: 1 1: f1_0_main_Load\' -> f128_0_loop_GE : arg1'=-x12_1, arg2'=arg2P_2, [ x12_1>-1 && arg2>1 && 2*x14_1>-1 && arg1>0 ], cost: 1 2: f128_0_loop_GE -> f128_0_loop_GE : arg1'=-1+arg1, arg2'=arg2P_3, [ arg1<0 ], 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 2. Accelerating the following rules: 2: f128_0_loop_GE -> f128_0_loop_GE : arg1'=-1+arg1, arg2'=arg2P_3, [ arg1<0 ], cost: 1 Accelerated rule 2 with non-termination, yielding the new rule 4. [accelerate] Nesting with 0 inner and 0 outer candidates Removing the simple loops: 2. Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f1_0_main_Load\' : [ arg2>1 && 2*x9_1>-1 && arg1>0 ], cost: 1 1: f1_0_main_Load\' -> f128_0_loop_GE : arg1'=-x12_1, arg2'=arg2P_2, [ x12_1>-1 && arg2>1 && 2*x14_1>-1 && arg1>0 ], cost: 1 4: f128_0_loop_GE -> [4] : [ arg1<0 ], cost: NONTERM 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 -> f1_0_main_Load\' : [ arg2>1 && 2*x9_1>-1 && arg1>0 ], cost: 1 1: f1_0_main_Load\' -> f128_0_loop_GE : arg1'=-x12_1, arg2'=arg2P_2, [ x12_1>-1 && arg2>1 && 2*x14_1>-1 && arg1>0 ], cost: 1 5: f1_0_main_Load\' -> [4] : [ arg2>1 && 2*x14_1>-1 && arg1>0 ], cost: NONTERM 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 0: f1_0_main_Load -> f1_0_main_Load\' : [ arg2>1 && 2*x9_1>-1 && arg1>0 ], cost: 1 5: f1_0_main_Load\' -> [4] : [ arg2>1 && 2*x14_1>-1 && arg1>0 ], cost: NONTERM 3: __init -> f1_0_main_Load : arg1'=arg1P_4, arg2'=arg2P_4, [], cost: 1 Eliminated locations (on linear paths): Start location: __init 7: __init -> [4] : [ arg2P_4>1 && 2*x9_1>-1 && arg1P_4>0 && 2*x14_1>-1 ], cost: NONTERM ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 7: __init -> [4] : [ arg2P_4>1 && 2*x9_1>-1 && arg1P_4>0 && 2*x14_1>-1 ], cost: NONTERM Computing asymptotic complexity for rule 7 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: [ arg2P_4>1 && 2*x9_1>-1 && arg1P_4>0 && 2*x14_1>-1 ] NO