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, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ x45_1>-1 && arg2>3 && x46_1>-1 && x47_1>-1 && x47_1-2*x48_1==1 && x49_1-2*x50_1==0 && x49_1>-1 && arg1>0 && arg1==arg1P_1 && arg2==arg2P_1 ], cost: 1 2: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ x61_1>-1 && arg2>3 && x62_1>-1 && x63_1>-1 && -2*x64_1+x63_1==1 && x65_1-2*x66_1==1 && x65_1>-1 && arg1>0 && arg1==arg1P_3 && arg2==arg2P_3 ], cost: 1 5: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ x77_1>-1 && arg2>3 && x78_1>-1 && x79_1>-1 && x79_1-2*x80_1==0 && x81_1-2*x82_1==1 && x81_1>-1 && arg1>0 && arg1==arg1P_6 && arg2==arg2P_6 ], cost: 1 7: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ x93_1>-1 && arg2>3 && x94_1>-1 && x95_1>-1 && x95_1-2*x96_1==0 && x97_1-2*x98_1==0 && x97_1>-1 && arg1>0 && arg1==arg1P_8 && arg2==arg2P_8 ], cost: 1 1: f1_0_main_Load\' -> f387_0_lcm_EQ : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg3P_2>-1 && arg2>3 && x53_1>-1 && x55_1>-1 && -2*x56_1+x55_1==1 && -2*x58_1+x57_1==0 && x57_1>-1 && arg1>0 && -2*x56_1+x55_1>=0 && -2*x56_1+x55_1<2 && -2*x58_1+x57_1<2 && -2*x58_1+x57_1>=0 && -x53_1==arg1P_2 && -x53_1==arg2P_2 && -x53_1==arg4P_2 ], cost: 1 3: f1_0_main_Load\' -> f454_0_lcm_EQ : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg1P_4>-1 && arg2>3 && arg2P_4>-1 && x71_1>-1 && x71_1-2*x72_1==1 && -2*x74_1+x73_1==1 && x73_1>-1 && arg1>0 && x71_1-2*x72_1>=0 && x71_1-2*x72_1<2 && -2*x74_1+x73_1<2 && -2*x74_1+x73_1>=0 && arg1P_4==arg3P_4 && arg2P_4==arg4P_4 && arg1P_4==arg5P_4 && arg2P_4==arg6P_4 ], cost: 1 6: f1_0_main_Load\' -> f481_0_lcm_EQ : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ x85_1>-1 && arg2>3 && arg2P_7>-1 && x87_1>-1 && -2*x88_1+x87_1==0 && -2*x90_1+x89_1==1 && x89_1>-1 && arg1>0 && -2*x88_1+x87_1>=0 && -2*x88_1+x87_1<2 && -2*x90_1+x89_1<2 && -2*x90_1+x89_1>=0 && -x85_1==arg1P_7 && -x85_1==arg3P_7 && arg2P_7==arg4P_7 && -x85_1==arg5P_7 && arg2P_7==arg6P_7 ], cost: 1 8: f1_0_main_Load\' -> f481_0_lcm_EQ : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ x101_1>-1 && arg2>3 && x102_1>-1 && x103_1>-1 && -2*x104_1+x103_1==0 && -2*x106_1+x105_1==0 && x105_1>-1 && arg1>0 && -2*x104_1+x103_1>=0 && -2*x104_1+x103_1<2 && -2*x106_1+x105_1<2 && -2*x106_1+x105_1>=0 && -x101_1==arg1P_9 && -x102_1==arg2P_9 && -x101_1==arg3P_9 && -x102_1==arg4P_9 && -x101_1==arg5P_9 && -x102_1==arg6P_9 ], cost: 1 4: f387_0_lcm_EQ -> f387_0_lcm_EQ : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2<1 && arg1<1 && arg3>arg2 && arg2==arg4 && arg1==arg1P_5 && arg1+arg2==arg2P_5 && arg3==arg3P_5 && arg1+arg2==arg4P_5 ], cost: 1 9: f454_0_lcm_EQ -> f454_0_lcm_EQ : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>-1 && arg1>-1 && arg4>arg3 && arg3==arg5 && arg4==arg6 && arg1==arg1P_10 && arg2==arg2P_10 && arg3+arg1==arg3P_10 && arg4==arg4P_10 && arg3+arg1==arg5P_10 && arg4==arg6P_10 ], cost: 1 10: f454_0_lcm_EQ -> f454_0_lcm_EQ : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ arg4>-1 && arg2>-1 && arg4 f481_0_lcm_EQ : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, [ arg3<1 && arg1<1 && arg4>arg3 && arg3==arg5 && arg4==arg6 && arg1==arg1P_12 && arg2==arg2P_12 && arg3+arg1==arg3P_12 && arg4==arg4P_12 && arg3+arg1==arg5P_12 && arg4==arg6P_12 ], cost: 1 12: f481_0_lcm_EQ -> f481_0_lcm_EQ : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg4 f1_0_main_Load : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 13: __init -> f1_0_main_Load : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg2>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1>0 ], cost: 1 2: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg2>3 && 1+2*x64_1>-1 && 1+2*x66_1>-1 && arg1>0 ], cost: 1 5: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1>0 ], cost: 1 7: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg2>3 && 2*x96_1>-1 && 2*x98_1>-1 && arg1>0 ], cost: 1 1: f1_0_main_Load\' -> f387_0_lcm_EQ : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg3P_2>-1 && arg2>3 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg1>0 ], cost: 1 3: f1_0_main_Load\' -> f454_0_lcm_EQ : arg1'=arg1P_4, arg2'=arg6P_4, arg3'=arg1P_4, arg4'=arg6P_4, arg5'=arg1P_4, arg6'=arg6P_4, [ arg1P_4>-1 && arg2>3 && arg6P_4>-1 && 1+2*x72_1>-1 && 1+2*x74_1>-1 && arg1>0 ], cost: 1 6: f1_0_main_Load\' -> f481_0_lcm_EQ : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ x85_1>-1 && arg2>3 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg1>0 ], cost: 1 8: f1_0_main_Load\' -> f481_0_lcm_EQ : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ x101_1>-1 && arg2>3 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && arg1>0 ], cost: 1 4: f387_0_lcm_EQ -> f387_0_lcm_EQ : arg2'=arg1+arg2, arg4'=arg1+arg2, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2<1 && arg1<1 && arg3>arg2 && arg2==arg4 ], cost: 1 9: f454_0_lcm_EQ -> f454_0_lcm_EQ : arg3'=arg3+arg1, arg5'=arg3+arg1, arg6'=arg4, [ arg3>-1 && arg1>-1 && arg4>arg3 && arg3==arg5 && arg4==arg6 ], cost: 1 10: f454_0_lcm_EQ -> f454_0_lcm_EQ : arg4'=arg4+arg2, arg5'=arg3, arg6'=arg4+arg2, [ arg4>-1 && arg2>-1 && arg4 f481_0_lcm_EQ : arg3'=arg3+arg1, arg5'=arg3+arg1, arg6'=arg4, [ arg3<1 && arg1<1 && arg4>arg3 && arg3==arg5 && arg4==arg6 ], cost: 1 12: f481_0_lcm_EQ -> f481_0_lcm_EQ : arg4'=arg4+arg2, arg5'=arg3, arg6'=arg4+arg2, [ arg4 f1_0_main_Load : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 2. Accelerating the following rules: 4: f387_0_lcm_EQ -> f387_0_lcm_EQ : arg2'=arg1+arg2, arg4'=arg1+arg2, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2<1 && arg1<1 && arg3>arg2 && arg2==arg4 ], cost: 1 Accelerated rule 4 with NONTERM, yielding the new rule 14. Removing the simple loops: 4. Accelerating simple loops of location 3. Accelerating the following rules: 9: f454_0_lcm_EQ -> f454_0_lcm_EQ : arg3'=arg3+arg1, arg5'=arg3+arg1, arg6'=arg4, [ arg3>-1 && arg1>-1 && arg4>arg3 && arg3==arg5 && arg4==arg6 ], cost: 1 10: f454_0_lcm_EQ -> f454_0_lcm_EQ : arg4'=arg4+arg2, arg5'=arg3, arg6'=arg4+arg2, [ arg4>-1 && arg2>-1 && arg4 f481_0_lcm_EQ : arg3'=arg3+arg1, arg5'=arg3+arg1, arg6'=arg4, [ arg3<1 && arg1<1 && arg4>arg3 && arg3==arg5 && arg4==arg6 ], cost: 1 12: f481_0_lcm_EQ -> f481_0_lcm_EQ : arg4'=arg4+arg2, arg5'=arg3, arg6'=arg4+arg2, [ arg4 f1_0_main_Load\' : arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg2>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1>0 ], cost: 1 2: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg2>3 && 1+2*x64_1>-1 && 1+2*x66_1>-1 && arg1>0 ], cost: 1 5: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1>0 ], cost: 1 7: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg2>3 && 2*x96_1>-1 && 2*x98_1>-1 && arg1>0 ], cost: 1 1: f1_0_main_Load\' -> f387_0_lcm_EQ : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg3P_2>-1 && arg2>3 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg1>0 ], cost: 1 3: f1_0_main_Load\' -> f454_0_lcm_EQ : arg1'=arg1P_4, arg2'=arg6P_4, arg3'=arg1P_4, arg4'=arg6P_4, arg5'=arg1P_4, arg6'=arg6P_4, [ arg1P_4>-1 && arg2>3 && arg6P_4>-1 && 1+2*x72_1>-1 && 1+2*x74_1>-1 && arg1>0 ], cost: 1 6: f1_0_main_Load\' -> f481_0_lcm_EQ : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ x85_1>-1 && arg2>3 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg1>0 ], cost: 1 8: f1_0_main_Load\' -> f481_0_lcm_EQ : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ x101_1>-1 && arg2>3 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && arg1>0 ], cost: 1 14: f387_0_lcm_EQ -> [6] : [ arg2<1 && arg1<1 && arg3>arg2 && arg2==arg4 ], cost: NONTERM 9: f454_0_lcm_EQ -> f454_0_lcm_EQ : arg3'=arg3+arg1, arg5'=arg3+arg1, arg6'=arg4, [ arg3>-1 && arg1>-1 && arg4>arg3 && arg3==arg5 && arg4==arg6 ], cost: 1 10: f454_0_lcm_EQ -> f454_0_lcm_EQ : arg4'=arg4+arg2, arg5'=arg3, arg6'=arg4+arg2, [ arg4>-1 && arg2>-1 && arg4 f481_0_lcm_EQ : arg4'=arg4+arg2, arg5'=arg3, arg6'=arg4+arg2, [ arg4 [8] : [ arg3<1 && arg1<1 && arg4>arg3 && arg3==arg5 && arg4==arg6 ], cost: NONTERM 13: __init -> f1_0_main_Load : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg2>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1>0 ], cost: 1 2: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg2>3 && 1+2*x64_1>-1 && 1+2*x66_1>-1 && arg1>0 ], cost: 1 5: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1>0 ], cost: 1 7: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg2>3 && 2*x96_1>-1 && 2*x98_1>-1 && arg1>0 ], cost: 1 1: f1_0_main_Load\' -> f387_0_lcm_EQ : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg3P_2>-1 && arg2>3 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg1>0 ], cost: 1 3: f1_0_main_Load\' -> f454_0_lcm_EQ : arg1'=arg1P_4, arg2'=arg6P_4, arg3'=arg1P_4, arg4'=arg6P_4, arg5'=arg1P_4, arg6'=arg6P_4, [ arg1P_4>-1 && arg2>3 && arg6P_4>-1 && 1+2*x72_1>-1 && 1+2*x74_1>-1 && arg1>0 ], cost: 1 6: f1_0_main_Load\' -> f481_0_lcm_EQ : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ x85_1>-1 && arg2>3 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg1>0 ], cost: 1 8: f1_0_main_Load\' -> f481_0_lcm_EQ : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ x101_1>-1 && arg2>3 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && arg1>0 ], cost: 1 16: f1_0_main_Load\' -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg3P_2>-1 && arg2>3 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg1>0 && arg3P_2>-x53_1 ], cost: NONTERM 17: f1_0_main_Load\' -> f454_0_lcm_EQ : arg1'=arg1P_4, arg2'=arg6P_4, arg3'=2*arg1P_4, arg4'=arg6P_4, arg5'=2*arg1P_4, arg6'=arg6P_4, [ arg1P_4>-1 && arg2>3 && arg6P_4>-1 && 1+2*x72_1>-1 && 1+2*x74_1>-1 && arg1>0 && arg6P_4>arg1P_4 ], cost: 2 18: f1_0_main_Load\' -> f454_0_lcm_EQ : arg1'=arg1P_4, arg2'=arg6P_4, arg3'=arg1P_4, arg4'=2*arg6P_4, arg5'=arg1P_4, arg6'=2*arg6P_4, [ arg1P_4>-1 && arg2>3 && arg6P_4>-1 && 1+2*x72_1>-1 && 1+2*x74_1>-1 && arg1>0 && arg6P_4 f481_0_lcm_EQ : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-2*x102_1, arg5'=-x101_1, arg6'=-2*x102_1, [ x101_1>-1 && arg2>3 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && arg1>0 && -x102_1<-x101_1 ], cost: 2 20: f1_0_main_Load\' -> [8] : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ x85_1>-1 && arg2>3 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg1>0 && arg2P_7>-x85_1 ], cost: NONTERM 21: f1_0_main_Load\' -> [8] : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ x101_1>-1 && arg2>3 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && arg1>0 && -x102_1>-x101_1 ], cost: NONTERM 13: __init -> f1_0_main_Load : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 0: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg2>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1>0 ], cost: 1 2: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg2>3 && 1+2*x64_1>-1 && 1+2*x66_1>-1 && arg1>0 ], cost: 1 5: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1>0 ], cost: 1 7: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg2>3 && 2*x96_1>-1 && 2*x98_1>-1 && arg1>0 ], cost: 1 16: f1_0_main_Load\' -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg3P_2>-1 && arg2>3 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg1>0 && arg3P_2>-x53_1 ], cost: NONTERM 20: f1_0_main_Load\' -> [8] : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ x85_1>-1 && arg2>3 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg1>0 && arg2P_7>-x85_1 ], cost: NONTERM 21: f1_0_main_Load\' -> [8] : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ x101_1>-1 && arg2>3 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && arg1>0 && -x102_1>-x101_1 ], cost: NONTERM 13: __init -> f1_0_main_Load : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 16: f1_0_main_Load\' -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg3P_2>-1 && arg2>3 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg1>0 && arg3P_2>-x53_1 ], cost: NONTERM 20: f1_0_main_Load\' -> [8] : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ x85_1>-1 && arg2>3 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg1>0 && arg2P_7>-x85_1 ], cost: NONTERM 21: f1_0_main_Load\' -> [8] : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ x101_1>-1 && arg2>3 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && arg1>0 && -x102_1>-x101_1 ], cost: NONTERM 22: __init -> f1_0_main_Load\' : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg2P_14>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1P_14>0 ], cost: 2 23: __init -> f1_0_main_Load\' : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg2P_14>3 && 1+2*x64_1>-1 && 1+2*x66_1>-1 && arg1P_14>0 ], cost: 2 24: __init -> f1_0_main_Load\' : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2P_14>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1P_14>0 ], cost: 2 25: __init -> f1_0_main_Load\' : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg2P_14>3 && 2*x96_1>-1 && 2*x98_1>-1 && arg1P_14>0 ], cost: 2 Eliminated locations (on tree-shaped paths): Start location: __init 26: __init -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_14>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1P_14>0 && arg3P_2>-1 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg3P_2>-x53_1 ], cost: NONTERM 27: __init -> [8] : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ arg2P_14>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1P_14>0 && x85_1>-1 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg2P_7>-x85_1 ], cost: NONTERM 28: __init -> [8] : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ arg2P_14>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1P_14>0 && x101_1>-1 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && -x102_1>-x101_1 ], cost: NONTERM 29: __init -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_14>3 && 1+2*x64_1>-1 && 1+2*x66_1>-1 && arg1P_14>0 && arg3P_2>-1 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg3P_2>-x53_1 ], cost: NONTERM 30: __init -> [8] : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ arg2P_14>3 && 1+2*x64_1>-1 && 1+2*x66_1>-1 && arg1P_14>0 && x85_1>-1 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg2P_7>-x85_1 ], cost: NONTERM 31: __init -> [8] : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ arg2P_14>3 && 1+2*x64_1>-1 && 1+2*x66_1>-1 && arg1P_14>0 && x101_1>-1 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && -x102_1>-x101_1 ], cost: NONTERM 32: __init -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_14>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1P_14>0 && arg3P_2>-1 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg3P_2>-x53_1 ], cost: NONTERM 33: __init -> [8] : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ arg2P_14>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1P_14>0 && x85_1>-1 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg2P_7>-x85_1 ], cost: NONTERM 34: __init -> [8] : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ arg2P_14>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1P_14>0 && x101_1>-1 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && -x102_1>-x101_1 ], cost: NONTERM 35: __init -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_14>3 && 2*x96_1>-1 && 2*x98_1>-1 && arg1P_14>0 && arg3P_2>-1 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg3P_2>-x53_1 ], cost: NONTERM 36: __init -> [8] : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ arg2P_14>3 && 2*x96_1>-1 && 2*x98_1>-1 && arg1P_14>0 && x85_1>-1 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg2P_7>-x85_1 ], cost: NONTERM 37: __init -> [8] : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ arg2P_14>3 && 2*x96_1>-1 && 2*x98_1>-1 && arg1P_14>0 && x101_1>-1 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && -x102_1>-x101_1 ], cost: NONTERM Applied pruning (of leafs and parallel rules): Start location: __init 26: __init -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_14>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1P_14>0 && arg3P_2>-1 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg3P_2>-x53_1 ], cost: NONTERM 27: __init -> [8] : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ arg2P_14>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1P_14>0 && x85_1>-1 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg2P_7>-x85_1 ], cost: NONTERM 28: __init -> [8] : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ arg2P_14>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1P_14>0 && x101_1>-1 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && -x102_1>-x101_1 ], cost: NONTERM 29: __init -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_14>3 && 1+2*x64_1>-1 && 1+2*x66_1>-1 && arg1P_14>0 && arg3P_2>-1 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg3P_2>-x53_1 ], cost: NONTERM 31: __init -> [8] : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ arg2P_14>3 && 1+2*x64_1>-1 && 1+2*x66_1>-1 && arg1P_14>0 && x101_1>-1 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && -x102_1>-x101_1 ], cost: NONTERM 32: __init -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_14>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1P_14>0 && arg3P_2>-1 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg3P_2>-x53_1 ], cost: NONTERM 33: __init -> [8] : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ arg2P_14>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1P_14>0 && x85_1>-1 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg2P_7>-x85_1 ], cost: NONTERM 34: __init -> [8] : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ arg2P_14>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1P_14>0 && x101_1>-1 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && -x102_1>-x101_1 ], cost: NONTERM 35: __init -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_14>3 && 2*x96_1>-1 && 2*x98_1>-1 && arg1P_14>0 && arg3P_2>-1 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg3P_2>-x53_1 ], cost: NONTERM ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 26: __init -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_14>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1P_14>0 && arg3P_2>-1 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg3P_2>-x53_1 ], cost: NONTERM 27: __init -> [8] : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ arg2P_14>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1P_14>0 && x85_1>-1 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg2P_7>-x85_1 ], cost: NONTERM 28: __init -> [8] : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ arg2P_14>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1P_14>0 && x101_1>-1 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && -x102_1>-x101_1 ], cost: NONTERM 29: __init -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_14>3 && 1+2*x64_1>-1 && 1+2*x66_1>-1 && arg1P_14>0 && arg3P_2>-1 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg3P_2>-x53_1 ], cost: NONTERM 31: __init -> [8] : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ arg2P_14>3 && 1+2*x64_1>-1 && 1+2*x66_1>-1 && arg1P_14>0 && x101_1>-1 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && -x102_1>-x101_1 ], cost: NONTERM 32: __init -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_14>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1P_14>0 && arg3P_2>-1 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg3P_2>-x53_1 ], cost: NONTERM 33: __init -> [8] : arg1'=-x85_1, arg2'=arg2P_7, arg3'=-x85_1, arg4'=arg2P_7, arg5'=-x85_1, arg6'=arg2P_7, [ arg2P_14>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1P_14>0 && x85_1>-1 && arg2P_7>-1 && 2*x88_1>-1 && 1+2*x90_1>-1 && arg2P_7>-x85_1 ], cost: NONTERM 34: __init -> [8] : arg1'=-x101_1, arg2'=-x102_1, arg3'=-x101_1, arg4'=-x102_1, arg5'=-x101_1, arg6'=-x102_1, [ arg2P_14>3 && 2*x80_1>-1 && 1+2*x82_1>-1 && arg1P_14>0 && x101_1>-1 && x102_1>-1 && 2*x104_1>-1 && 2*x106_1>-1 && -x102_1>-x101_1 ], cost: NONTERM 35: __init -> [6] : arg1'=-x53_1, arg2'=-x53_1, arg3'=arg3P_2, arg4'=-x53_1, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_14>3 && 2*x96_1>-1 && 2*x98_1>-1 && arg1P_14>0 && arg3P_2>-1 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg3P_2>-x53_1 ], cost: NONTERM Computing asymptotic complexity for rule 26 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_14>3 && 1+2*x48_1>-1 && 2*x50_1>-1 && arg1P_14>0 && arg3P_2>-1 && x53_1>-1 && 1+2*x56_1>-1 && 2*x58_1>-1 && arg3P_2>-x53_1 ] NO