NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f53_0_loop_EQ : arg1'=arg1P_1, arg2'=arg2P_1, [ arg1>0 && arg2>-1 && arg2==arg1P_1 ], cost: 1 1: f53_0_loop_EQ -> f53_0_loop_EQ : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>35 && 0==arg1P_2 ], cost: 1 2: f53_0_loop_EQ -> f53_0_loop_EQ : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1<31 && arg1<36 && arg1>0 && -1+arg1==arg1P_3 ], cost: 1 3: f53_0_loop_EQ -> f53_0_loop_EQ : arg1'=arg1P_4, arg2'=arg2P_4, [ arg1>30 && arg1<36 && 35==arg1P_4 ], cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1P_5, arg2'=arg2P_5, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 4: __init -> f1_0_main_Load : arg1'=arg1P_5, arg2'=arg2P_5, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f53_0_loop_EQ : arg1'=arg2, arg2'=arg2P_1, [ arg1>0 && arg2>-1 ], cost: 1 1: f53_0_loop_EQ -> f53_0_loop_EQ : arg1'=0, arg2'=arg2P_2, [ arg1>35 ], cost: 1 2: f53_0_loop_EQ -> f53_0_loop_EQ : arg1'=-1+arg1, arg2'=arg2P_3, [ arg1<31 && arg1>0 ], cost: 1 3: f53_0_loop_EQ -> f53_0_loop_EQ : arg1'=35, arg2'=arg2P_4, [ arg1>30 && arg1<36 ], cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1P_5, arg2'=arg2P_5, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 1. Accelerating the following rules: 1: f53_0_loop_EQ -> f53_0_loop_EQ : arg1'=0, arg2'=arg2P_2, [ arg1>35 ], cost: 1 2: f53_0_loop_EQ -> f53_0_loop_EQ : arg1'=-1+arg1, arg2'=arg2P_3, [ arg1<31 && arg1>0 ], cost: 1 3: f53_0_loop_EQ -> f53_0_loop_EQ : arg1'=35, arg2'=arg2P_4, [ arg1>30 && arg1<36 ], cost: 1 Failed to prove monotonicity of the guard of rule 1. Accelerated rule 2 with backward acceleration, yielding the new rule 5. Accelerated rule 3 with non-termination, yielding the new rule 6. [accelerate] Nesting with 2 inner and 2 outer candidates Removing the simple loops: 2 3. Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f53_0_loop_EQ : arg1'=arg2, arg2'=arg2P_1, [ arg1>0 && arg2>-1 ], cost: 1 1: f53_0_loop_EQ -> f53_0_loop_EQ : arg1'=0, arg2'=arg2P_2, [ arg1>35 ], cost: 1 5: f53_0_loop_EQ -> f53_0_loop_EQ : arg1'=0, arg2'=arg2P_3, [ arg1<31 && arg1>=1 ], cost: arg1 6: f53_0_loop_EQ -> [3] : [ arg1>30 && arg1<36 ], cost: NONTERM 4: __init -> f1_0_main_Load : arg1'=arg1P_5, arg2'=arg2P_5, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f53_0_loop_EQ : arg1'=arg2, arg2'=arg2P_1, [ arg1>0 && arg2>-1 ], cost: 1 7: f1_0_main_Load -> f53_0_loop_EQ : arg1'=0, arg2'=arg2P_2, [ arg1>0 && arg2>35 ], cost: 2 8: f1_0_main_Load -> f53_0_loop_EQ : arg1'=0, arg2'=arg2P_3, [ arg1>0 && arg2<31 && arg2>=1 ], cost: 1+arg2 9: f1_0_main_Load -> [3] : [ arg1>0 && arg2>30 && arg2<36 ], cost: NONTERM 4: __init -> f1_0_main_Load : arg1'=arg1P_5, arg2'=arg2P_5, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 8: f1_0_main_Load -> f53_0_loop_EQ : arg1'=0, arg2'=arg2P_3, [ arg1>0 && arg2<31 && arg2>=1 ], cost: 1+arg2 9: f1_0_main_Load -> [3] : [ arg1>0 && arg2>30 && arg2<36 ], cost: NONTERM 4: __init -> f1_0_main_Load : arg1'=arg1P_5, arg2'=arg2P_5, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 10: __init -> f53_0_loop_EQ : arg1'=0, arg2'=arg2P_3, [ arg1P_5>0 && arg2P_5<31 && arg2P_5>=1 ], cost: 2+arg2P_5 11: __init -> [3] : [ arg1P_5>0 && arg2P_5>30 && arg2P_5<36 ], cost: NONTERM ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 10: __init -> f53_0_loop_EQ : arg1'=0, arg2'=arg2P_3, [ arg1P_5>0 && arg2P_5<31 && arg2P_5>=1 ], cost: 2+arg2P_5 11: __init -> [3] : [ arg1P_5>0 && arg2P_5>30 && arg2P_5<36 ], cost: NONTERM Computing asymptotic complexity for rule 11 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_5>0 && arg2P_5>30 && arg2P_5<36 ] NO