NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f49_0_loop_LE : arg1'=arg1P_1, arg2'=arg2P_1, [ arg1>0 && arg2>-1 && arg2==arg1P_1 ], cost: 1 1: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1P_2, arg2'=arg2P_2, [ -5*x5_1+arg1==0 && arg1>2 && arg1==arg1P_2 ], cost: 1 3: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1P_4, arg2'=arg2P_4, [ -5*x9_1+arg1>0 && arg1>2 && arg1==arg1P_4 ], cost: 1 2: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1>2 && arg1-5*x7_1==0 && arg1-5*x7_1<5 && arg1-5*x7_1>=0 && arg1==arg1P_3 ], cost: 1 4: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1P_5, arg2'=arg2P_5, [ -5*x11_1+arg1>0 && -5*x11_1+arg1<5 && arg1>2 && -1+arg1==arg1P_5 ], cost: 1 5: __init -> f1_0_main_Load : arg1'=arg1P_6, arg2'=arg2P_6, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 5: __init -> f1_0_main_Load : arg1'=arg1P_6, arg2'=arg2P_6, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f49_0_loop_LE : arg1'=arg2, arg2'=arg2P_1, [ arg1>0 && arg2>-1 ], cost: 1 1: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2P_2, [ -5*x5_1+arg1==0 && arg1>2 ], cost: 1 3: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2P_4, [ -5*x9_1+arg1>0 && arg1>2 ], cost: 1 2: f49_0_loop_LE\' -> f49_0_loop_LE : arg2'=arg2P_3, [ arg1>2 && arg1-5*x7_1==0 ], cost: 1 4: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2P_5, [ -5*x11_1+arg1>0 && -5*x11_1+arg1<5 && arg1>2 ], cost: 1 5: __init -> f1_0_main_Load : arg1'=arg1P_6, arg2'=arg2P_6, [], cost: 1 ### Simplification by acceleration and chaining ### Eliminated locations (on linear paths): Start location: __init 1: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2P_2, [ -5*x5_1+arg1==0 && arg1>2 ], cost: 1 3: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2P_4, [ -5*x9_1+arg1>0 && arg1>2 ], cost: 1 2: f49_0_loop_LE\' -> f49_0_loop_LE : arg2'=arg2P_3, [ arg1>2 && arg1-5*x7_1==0 ], cost: 1 4: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2P_5, [ -5*x11_1+arg1>0 && -5*x11_1+arg1<5 && arg1>2 ], cost: 1 6: __init -> f49_0_loop_LE : arg1'=arg2P_6, arg2'=arg2P_1, [ arg1P_6>0 && arg2P_6>-1 ], cost: 2 Eliminated locations (on tree-shaped paths): Start location: __init 7: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P_3, [ -5*x5_1+arg1==0 && arg1>2 && arg1-5*x7_1==0 ], cost: 2 8: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P_3, [ -5*x9_1+arg1>0 && arg1>2 && arg1-5*x7_1==0 ], cost: 2 9: f49_0_loop_LE -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2P_5, [ -5*x9_1+arg1>0 && arg1>2 && -5*x11_1+arg1>0 && -5*x11_1+arg1<5 ], cost: 2 6: __init -> f49_0_loop_LE : arg1'=arg2P_6, arg2'=arg2P_1, [ arg1P_6>0 && arg2P_6>-1 ], cost: 2 Accelerating simple loops of location 1. Accelerating the following rules: 7: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P_3, [ -5*x5_1+arg1==0 && arg1>2 && arg1-5*x7_1==0 ], cost: 2 8: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P_3, [ -5*x9_1+arg1>0 && arg1>2 && arg1-5*x7_1==0 ], cost: 2 9: f49_0_loop_LE -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2P_5, [ -5*x9_1+arg1>0 && arg1>2 && -5*x11_1+arg1>0 && -5*x11_1+arg1<5 ], cost: 2 Accelerated rule 7 with non-termination, yielding the new rule 10. Accelerated rule 8 with non-termination, yielding the new rule 11. Accelerated rule 9 with backward acceleration, yielding the new rule 12. Accelerated rule 9 with backward acceleration, yielding the new rule 13. Accelerated rule 9 with backward acceleration, yielding the new rule 14. [accelerate] Nesting with 3 inner and 1 outer candidates Removing the simple loops: 7 8 9. Accelerated all simple loops using metering functions (where possible): Start location: __init 10: f49_0_loop_LE -> [4] : [ -5*x5_1+arg1==0 && arg1>2 && arg1-5*x7_1==0 ], cost: NONTERM 11: f49_0_loop_LE -> [4] : [ -5*x9_1+arg1>0 && arg1>2 && arg1-5*x7_1==0 ], cost: NONTERM 12: f49_0_loop_LE -> f49_0_loop_LE : arg1'=5*x9_1, arg2'=arg2P_5, [ -5*x11_1+arg1<5 && -5*x9_1+arg1>=1 && 1+5*x9_1>2 && 1+5*x9_1-5*x11_1>0 ], cost: -10*x9_1+2*arg1 13: f49_0_loop_LE -> f49_0_loop_LE : arg1'=2, arg2'=arg2P_5, [ -5*x11_1+arg1<5 && -2+arg1>=1 && 3-5*x9_1>0 && 3-5*x11_1>0 ], cost: -4+2*arg1 14: f49_0_loop_LE -> f49_0_loop_LE : arg1'=5*x11_1, arg2'=arg2P_5, [ -5*x11_1+arg1<5 && -5*x11_1+arg1>=1 && 1-5*x9_1+5*x11_1>0 && 1+5*x11_1>2 ], cost: -10*x11_1+2*arg1 6: __init -> f49_0_loop_LE : arg1'=arg2P_6, arg2'=arg2P_1, [ arg1P_6>0 && arg2P_6>-1 ], cost: 2 Chained accelerated rules (with incoming rules): Start location: __init 6: __init -> f49_0_loop_LE : arg1'=arg2P_6, arg2'=arg2P_1, [ arg1P_6>0 && arg2P_6>-1 ], cost: 2 15: __init -> [4] : [ 5*x7_1>2 ], cost: NONTERM 16: __init -> [4] : [ -5*x9_1+5*x7_1>0 && 5*x7_1>2 ], cost: NONTERM 17: __init -> f49_0_loop_LE : arg1'=5*x9_1, arg2'=arg2P_5, [ arg2P_6>-1 && arg2P_6-5*x11_1<5 && arg2P_6-5*x9_1>=1 && 1+5*x9_1>2 && 1+5*x9_1-5*x11_1>0 ], cost: 2+2*arg2P_6-10*x9_1 18: __init -> f49_0_loop_LE : arg1'=2, arg2'=arg2P_5, [ arg2P_6-5*x11_1<5 && -2+arg2P_6>=1 && 3-5*x9_1>0 && 3-5*x11_1>0 ], cost: -2+2*arg2P_6 19: __init -> f49_0_loop_LE : arg1'=5*x11_1, arg2'=arg2P_5, [ arg2P_6>-1 && arg2P_6-5*x11_1<5 && arg2P_6-5*x11_1>=1 && 1-5*x9_1+5*x11_1>0 && 1+5*x11_1>2 ], cost: 2+2*arg2P_6-10*x11_1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 15: __init -> [4] : [ 5*x7_1>2 ], cost: NONTERM 16: __init -> [4] : [ -5*x9_1+5*x7_1>0 && 5*x7_1>2 ], cost: NONTERM 17: __init -> f49_0_loop_LE : arg1'=5*x9_1, arg2'=arg2P_5, [ arg2P_6>-1 && arg2P_6-5*x11_1<5 && arg2P_6-5*x9_1>=1 && 1+5*x9_1>2 && 1+5*x9_1-5*x11_1>0 ], cost: 2+2*arg2P_6-10*x9_1 18: __init -> f49_0_loop_LE : arg1'=2, arg2'=arg2P_5, [ arg2P_6-5*x11_1<5 && -2+arg2P_6>=1 && 3-5*x9_1>0 && 3-5*x11_1>0 ], cost: -2+2*arg2P_6 19: __init -> f49_0_loop_LE : arg1'=5*x11_1, arg2'=arg2P_5, [ arg2P_6>-1 && arg2P_6-5*x11_1<5 && arg2P_6-5*x11_1>=1 && 1-5*x9_1+5*x11_1>0 && 1+5*x11_1>2 ], cost: 2+2*arg2P_6-10*x11_1 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 15: __init -> [4] : [ 5*x7_1>2 ], cost: NONTERM 16: __init -> [4] : [ -5*x9_1+5*x7_1>0 && 5*x7_1>2 ], cost: NONTERM 17: __init -> f49_0_loop_LE : arg1'=5*x9_1, arg2'=arg2P_5, [ arg2P_6>-1 && arg2P_6-5*x11_1<5 && arg2P_6-5*x9_1>=1 && 1+5*x9_1>2 && 1+5*x9_1-5*x11_1>0 ], cost: 2+2*arg2P_6-10*x9_1 18: __init -> f49_0_loop_LE : arg1'=2, arg2'=arg2P_5, [ arg2P_6-5*x11_1<5 && -2+arg2P_6>=1 && 3-5*x9_1>0 && 3-5*x11_1>0 ], cost: -2+2*arg2P_6 19: __init -> f49_0_loop_LE : arg1'=5*x11_1, arg2'=arg2P_5, [ arg2P_6>-1 && arg2P_6-5*x11_1<5 && arg2P_6-5*x11_1>=1 && 1-5*x9_1+5*x11_1>0 && 1+5*x11_1>2 ], cost: 2+2*arg2P_6-10*x11_1 Computing asymptotic complexity for rule 15 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: [ 5*x7_1>2 ] NO