NO Initial ITS Start location: __init 0: f1_0_main_New -> f216_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ -1-arg1+arg2P0 <= 0 /\ -arg1+arg1P0 <= 0 /\ -arg3P0 == 0 /\ -1+arg2P0 > 0 /\ arg1P0 > 0 /\ -arg5P0 == 0 /\ 1-arg4P0+arg2 == 0 /\ 1+arg2 > 0 /\ arg2-arg6P0 == 0), cost: 1 1: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg3P1, arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ -arg1P1+arg2 >= 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ arg5 > 0 /\ arg2 > 0 /\ 1+arg6-arg4P1 == 0 /\ 1+arg6 > 0 /\ arg2P1 > 0 /\ 1-arg3P1+arg3 == 0 /\ -arg3+arg4 > 0 /\ arg5-arg5P1 < 0 /\ arg6-arg6P1 == 0), cost: 1 2: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg1 > 0 /\ -arg1+arg1P2 <= 0 /\ arg1P2 > 0 /\ 1+arg6-arg4P2 == 0 /\ -1+arg2 > 0 /\ arg6-arg6P2 == 0 /\ -2-arg2+arg2P2 <= 0 /\ 1+arg6 > 0 /\ -3+arg2P2 > 0 /\ 1+arg3-arg3P2 == 0 /\ 1+arg1P2-arg2 <= 0 /\ -arg3+arg4 > 0 /\ -3-arg1+arg2P2 <= 0 /\ 1-arg5P2 == 0), cost: 1 4: f216_0_main_GE -> f339_0_length_Load : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, (arg1 > 0 /\ 1-arg2+arg1P4 <= 0 /\ -arg1+arg1P4 <= 0 /\ -1+arg2 > 0 /\ arg6-arg3P4 == 0 /\ -arg3+arg4 <= 0 /\ 1-arg2P4 == 0 /\ arg1P4 > 0), cost: 1 5: f216_0_main_GE -> f340_0_length_FieldAccess : arg1'=arg1P5, arg6'=arg6P5, arg3'=arg3P5, arg5'=arg5P5, arg2'=arg2P5, arg4'=arg4P5, (arg1 > 0 /\ -arg4P5 == 0 /\ arg5 > 0 /\ -arg5P5 == 0 /\ arg2 > 0 /\ -arg3P5 == 0 /\ -arg2P5+arg5 == 0 /\ -arg6P5+arg5 == 0 /\ arg1P5 > 0 /\ -arg3+arg4 <= 0), cost: 1 3: f339_0_length_Load -> f339_0_length_Load : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ arg1P3 > 0 /\ 1-arg2P3+arg2 == 0 /\ arg3-arg3P3 == 0 /\ -arg1+arg1P3 <= 0), cost: 1 6: f340_0_length_FieldAccess -> f340_0_length_FieldAccess : arg1'=arg1P6, arg6'=arg6P6, arg3'=arg3P6, arg5'=arg5P6, arg2'=arg2P6, arg4'=arg4P6, (arg2-arg2P6 == 0 /\ arg5-arg2 < 0 /\ arg3 > 0 /\ arg1P6 > 0 /\ arg5 > 0 /\ -arg3P6+arg3 == 0 /\ -arg3+arg5 < 0 /\ -2+arg1 > 0 /\ -arg5+arg5P6 > 0 /\ arg4 > 0 /\ arg4P6-arg4 < 0), cost: 1 7: f340_0_length_FieldAccess -> f340_0_length_FieldAccess : arg1'=arg1P7, arg6'=arg6P7, arg3'=arg3P7, arg5'=arg5P7, arg2'=arg2P7, arg4'=arg4P7, (arg1P7 > 0 /\ 1-arg5P7 == 0 /\ -3+arg1-x540 >= 0 /\ 1+arg2 > 0 /\ -arg3+arg4P7 < 0 /\ -2+arg1 > 0 /\ -arg3P7 == 0 /\ arg6P7-arg2 < 0 /\ 1+arg3 > 0 /\ -arg6+arg2 == 0), cost: 1 8: __init -> f1_0_main_New : arg1'=arg1P8, arg6'=arg6P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_New -> f216_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ -1-arg1+arg2P0 <= 0 /\ -arg1+arg1P0 <= 0 /\ -arg3P0 == 0 /\ -1+arg2P0 > 0 /\ arg1P0 > 0 /\ -arg5P0 == 0 /\ 1-arg4P0+arg2 == 0 /\ 1+arg2 > 0 /\ arg2-arg6P0 == 0), cost: 1 New rule: f1_0_main_New -> f216_0_main_GE : arg1'=arg1P0, arg6'=arg2, arg3'=0, arg5'=0, arg2'=arg2P0, arg4'=1+arg2, (-1-arg1+arg2P0 <= 0 /\ -arg1+arg1P0 <= 0 /\ -1+arg2P0 > 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg3P1, arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ -arg1P1+arg2 >= 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ arg5 > 0 /\ arg2 > 0 /\ 1+arg6-arg4P1 == 0 /\ 1+arg6 > 0 /\ arg2P1 > 0 /\ 1-arg3P1+arg3 == 0 /\ -arg3+arg4 > 0 /\ arg5-arg5P1 < 0 /\ arg6-arg6P1 == 0), cost: 1 New rule: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P1, arg3'=1+arg3, arg5'=arg5P1, arg2'=arg2P1, arg4'=1+arg6, (-arg1P1+arg2 >= 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ arg5 > 0 /\ -arg5+arg5P1 > 0 /\ 1+arg6 > 0 /\ arg2P1 > 0 /\ -arg3+arg4 > 0), cost: 1 Applied preprocessing Original rule: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg1 > 0 /\ -arg1+arg1P2 <= 0 /\ arg1P2 > 0 /\ 1+arg6-arg4P2 == 0 /\ -1+arg2 > 0 /\ arg6-arg6P2 == 0 /\ -2-arg2+arg2P2 <= 0 /\ 1+arg6 > 0 /\ -3+arg2P2 > 0 /\ 1+arg3-arg3P2 == 0 /\ 1+arg1P2-arg2 <= 0 /\ -arg3+arg4 > 0 /\ -3-arg1+arg2P2 <= 0 /\ 1-arg5P2 == 0), cost: 1 New rule: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P2, arg3'=1+arg3, arg5'=1, arg2'=arg2P2, arg4'=1+arg6, (-arg1+arg1P2 <= 0 /\ arg1P2 > 0 /\ -2-arg2+arg2P2 <= 0 /\ 1+arg6 > 0 /\ -3+arg2P2 > 0 /\ 1+arg1P2-arg2 <= 0 /\ -arg3+arg4 > 0 /\ -3-arg1+arg2P2 <= 0), cost: 1 Applied preprocessing Original rule: f339_0_length_Load -> f339_0_length_Load : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ arg1P3 > 0 /\ 1-arg2P3+arg2 == 0 /\ arg3-arg3P3 == 0 /\ -arg1+arg1P3 <= 0), cost: 1 New rule: f339_0_length_Load -> f339_0_length_Load : arg1'=arg1P3, arg6'=arg6P3, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0), cost: 1 Applied preprocessing Original rule: f216_0_main_GE -> f339_0_length_Load : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, (arg1 > 0 /\ 1-arg2+arg1P4 <= 0 /\ -arg1+arg1P4 <= 0 /\ -1+arg2 > 0 /\ arg6-arg3P4 == 0 /\ -arg3+arg4 <= 0 /\ 1-arg2P4 == 0 /\ arg1P4 > 0), cost: 1 New rule: f216_0_main_GE -> f339_0_length_Load : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg6, arg5'=arg5P4, arg2'=1, arg4'=arg4P4, (1-arg2+arg1P4 <= 0 /\ -arg1+arg1P4 <= 0 /\ -arg3+arg4 <= 0 /\ arg1P4 > 0), cost: 1 Applied preprocessing Original rule: f216_0_main_GE -> f340_0_length_FieldAccess : arg1'=arg1P5, arg6'=arg6P5, arg3'=arg3P5, arg5'=arg5P5, arg2'=arg2P5, arg4'=arg4P5, (arg1 > 0 /\ -arg4P5 == 0 /\ arg5 > 0 /\ -arg5P5 == 0 /\ arg2 > 0 /\ -arg3P5 == 0 /\ -arg2P5+arg5 == 0 /\ -arg6P5+arg5 == 0 /\ arg1P5 > 0 /\ -arg3+arg4 <= 0), cost: 1 New rule: f216_0_main_GE -> f340_0_length_FieldAccess : arg1'=arg1P5, arg6'=arg5, arg3'=0, arg5'=0, arg2'=arg5, arg4'=0, (arg1 > 0 /\ arg5 > 0 /\ arg2 > 0 /\ arg1P5 > 0 /\ -arg3+arg4 <= 0), cost: 1 Applied preprocessing Original rule: f340_0_length_FieldAccess -> f340_0_length_FieldAccess : arg1'=arg1P6, arg6'=arg6P6, arg3'=arg3P6, arg5'=arg5P6, arg2'=arg2P6, arg4'=arg4P6, (arg2-arg2P6 == 0 /\ arg5-arg2 < 0 /\ arg3 > 0 /\ arg1P6 > 0 /\ arg5 > 0 /\ -arg3P6+arg3 == 0 /\ -arg3+arg5 < 0 /\ -2+arg1 > 0 /\ -arg5+arg5P6 > 0 /\ arg4 > 0 /\ arg4P6-arg4 < 0), cost: 1 New rule: f340_0_length_FieldAccess -> f340_0_length_FieldAccess : arg1'=arg1P6, arg6'=arg6P6, arg5'=arg5P6, arg4'=arg4P6, (-arg5+arg2 > 0 /\ arg1P6 > 0 /\ arg5 > 0 /\ -2+arg1 > 0 /\ -arg4P6+arg4 > 0 /\ -arg5+arg5P6 > 0 /\ arg4 > 0 /\ arg3-arg5 > 0), cost: 1 Applied preprocessing Original rule: f340_0_length_FieldAccess -> f340_0_length_FieldAccess : arg1'=arg1P7, arg6'=arg6P7, arg3'=arg3P7, arg5'=arg5P7, arg2'=arg2P7, arg4'=arg4P7, (arg1P7 > 0 /\ 1-arg5P7 == 0 /\ -3+arg1-x540 >= 0 /\ 1+arg2 > 0 /\ -arg3+arg4P7 < 0 /\ -2+arg1 > 0 /\ -arg3P7 == 0 /\ arg6P7-arg2 < 0 /\ 1+arg3 > 0 /\ -arg6+arg2 == 0), cost: 1 New rule: f340_0_length_FieldAccess -> f340_0_length_FieldAccess : arg1'=arg1P7, arg6'=arg6P7, arg3'=0, arg5'=1, arg2'=arg2P7, arg4'=arg4P7, (arg1P7 > 0 /\ -arg6P7+arg2 > 0 /\ 1+arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg3 > 0 /\ -arg6+arg2 == 0 /\ arg3-arg4P7 > 0), cost: 1 Simplified rules Start location: __init 9: f1_0_main_New -> f216_0_main_GE : arg1'=arg1P0, arg6'=arg2, arg3'=0, arg5'=0, arg2'=arg2P0, arg4'=1+arg2, (-1-arg1+arg2P0 <= 0 /\ -arg1+arg1P0 <= 0 /\ -1+arg2P0 > 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 10: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P1, arg3'=1+arg3, arg5'=arg5P1, arg2'=arg2P1, arg4'=1+arg6, (-arg1P1+arg2 >= 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ arg5 > 0 /\ -arg5+arg5P1 > 0 /\ 1+arg6 > 0 /\ arg2P1 > 0 /\ -arg3+arg4 > 0), cost: 1 11: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P2, arg3'=1+arg3, arg5'=1, arg2'=arg2P2, arg4'=1+arg6, (-arg1+arg1P2 <= 0 /\ arg1P2 > 0 /\ -2-arg2+arg2P2 <= 0 /\ 1+arg6 > 0 /\ -3+arg2P2 > 0 /\ 1+arg1P2-arg2 <= 0 /\ -arg3+arg4 > 0 /\ -3-arg1+arg2P2 <= 0), cost: 1 13: f216_0_main_GE -> f339_0_length_Load : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg6, arg5'=arg5P4, arg2'=1, arg4'=arg4P4, (1-arg2+arg1P4 <= 0 /\ -arg1+arg1P4 <= 0 /\ -arg3+arg4 <= 0 /\ arg1P4 > 0), cost: 1 14: f216_0_main_GE -> f340_0_length_FieldAccess : arg1'=arg1P5, arg6'=arg5, arg3'=0, arg5'=0, arg2'=arg5, arg4'=0, (arg1 > 0 /\ arg5 > 0 /\ arg2 > 0 /\ arg1P5 > 0 /\ -arg3+arg4 <= 0), cost: 1 12: f339_0_length_Load -> f339_0_length_Load : arg1'=arg1P3, arg6'=arg6P3, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0), cost: 1 15: f340_0_length_FieldAccess -> f340_0_length_FieldAccess : arg1'=arg1P6, arg6'=arg6P6, arg5'=arg5P6, arg4'=arg4P6, (-arg5+arg2 > 0 /\ arg1P6 > 0 /\ arg5 > 0 /\ -2+arg1 > 0 /\ -arg4P6+arg4 > 0 /\ -arg5+arg5P6 > 0 /\ arg4 > 0 /\ arg3-arg5 > 0), cost: 1 16: f340_0_length_FieldAccess -> f340_0_length_FieldAccess : arg1'=arg1P7, arg6'=arg6P7, arg3'=0, arg5'=1, arg2'=arg2P7, arg4'=arg4P7, (arg1P7 > 0 /\ -arg6P7+arg2 > 0 /\ 1+arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg3 > 0 /\ -arg6+arg2 == 0 /\ arg3-arg4P7 > 0), cost: 1 8: __init -> f1_0_main_New : arg1'=arg1P8, arg6'=arg6P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, TRUE, cost: 1 Applied acceleration Original rule: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P2, arg3'=1+arg3, arg5'=1, arg2'=arg2P2, arg4'=1+arg6, (-arg1+arg1P2 <= 0 /\ arg1P2 > 0 /\ -2-arg2+arg2P2 <= 0 /\ 1+arg6 > 0 /\ -3+arg2P2 > 0 /\ 1+arg1P2-arg2 <= 0 /\ -arg3+arg4 > 0 /\ -3-arg1+arg2P2 <= 0), cost: 1 New rule: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P2, arg3'=arg3+n2, arg5'=1, arg2'=arg2P2, arg4'=1+arg6, (-1-arg1P2+arg2P2 >= 0 /\ arg1P2 > 0 /\ -1-arg1P2+arg2 >= 0 /\ arg1-arg1P2 >= 0 /\ 2+arg2-arg2P2 >= 0 /\ 1+arg6 > 0 /\ -3+arg2P2 > 0 /\ -arg3+arg4 > 0 /\ -1+n2 >= 0 /\ 2+arg6-arg3-n2 > 0 /\ ((3+arg1P2-arg2P2 >= 0 /\ 3+arg1-arg2P2 >= 0) \/ (arg1-arg1P2 >= 0 /\ 3+arg1P2-arg2P2 >= 0))), cost: n2 Applied instantiation Original rule: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P2, arg3'=arg3+n2, arg5'=1, arg2'=arg2P2, arg4'=1+arg6, (-1-arg1P2+arg2P2 >= 0 /\ arg1P2 > 0 /\ -1-arg1P2+arg2 >= 0 /\ arg1-arg1P2 >= 0 /\ 2+arg2-arg2P2 >= 0 /\ 1+arg6 > 0 /\ -3+arg2P2 > 0 /\ -arg3+arg4 > 0 /\ -1+n2 >= 0 /\ 2+arg6-arg3-n2 > 0 /\ ((3+arg1P2-arg2P2 >= 0 /\ 3+arg1-arg2P2 >= 0) \/ (arg1-arg1P2 >= 0 /\ 3+arg1P2-arg2P2 >= 0))), cost: n2 New rule: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P2, arg3'=1+arg6, arg5'=1, arg2'=arg2P2, arg4'=1+arg6, (1 > 0 /\ -1-arg1P2+arg2P2 >= 0 /\ arg1P2 > 0 /\ -1-arg1P2+arg2 >= 0 /\ arg1-arg1P2 >= 0 /\ 2+arg2-arg2P2 >= 0 /\ 1+arg6 > 0 /\ -3+arg2P2 > 0 /\ -arg3+arg4 > 0 /\ arg6-arg3 >= 0 /\ ((3+arg1P2-arg2P2 >= 0 /\ 3+arg1-arg2P2 >= 0) \/ (arg1-arg1P2 >= 0 /\ 3+arg1P2-arg2P2 >= 0))), cost: 1+arg6-arg3 Applied simplification Original rule: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P2, arg3'=1+arg6, arg5'=1, arg2'=arg2P2, arg4'=1+arg6, (1 > 0 /\ -1-arg1P2+arg2P2 >= 0 /\ arg1P2 > 0 /\ -1-arg1P2+arg2 >= 0 /\ arg1-arg1P2 >= 0 /\ 2+arg2-arg2P2 >= 0 /\ 1+arg6 > 0 /\ -3+arg2P2 > 0 /\ -arg3+arg4 > 0 /\ arg6-arg3 >= 0 /\ ((3+arg1P2-arg2P2 >= 0 /\ 3+arg1-arg2P2 >= 0) \/ (arg1-arg1P2 >= 0 /\ 3+arg1P2-arg2P2 >= 0))), cost: 1+arg6-arg3 New rule: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P2, arg3'=1+arg6, arg5'=1, arg2'=arg2P2, arg4'=1+arg6, (-1-arg1P2+arg2P2 >= 0 /\ -1-arg1P2+arg2 >= 0 /\ arg1-arg1P2 >= 0 /\ 1+arg6 > 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0 /\ -arg3+arg4 > 0 /\ arg6-arg3 >= 0), cost: 1+arg6-arg3 Applied deletion Removed the following rules: 11 Applied nonterm Original rule: f339_0_length_Load -> f339_0_length_Load : arg1'=arg1P3, arg6'=arg6P3, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0), cost: 1 New rule: f339_0_length_Load -> [6] : (arg1P3 > 0 /\ arg1-arg1P3 >= 0), cost: NONTERM Applied acceleration Original rule: f339_0_length_Load -> f339_0_length_Load : arg1'=arg1P3, arg6'=arg6P3, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0), cost: 1 New rule: f339_0_length_Load -> f339_0_length_Load : arg1'=arg1P3, arg6'=arg6P3, arg5'=arg5P3, arg2'=arg2+n10, arg4'=arg4P3, (arg1P3 > 0 /\ arg1-arg1P3 >= 0), cost: n10 Applied deletion Removed the following rules: 12 Accelerated simple loops Start location: __init 9: f1_0_main_New -> f216_0_main_GE : arg1'=arg1P0, arg6'=arg2, arg3'=0, arg5'=0, arg2'=arg2P0, arg4'=1+arg2, (-1-arg1+arg2P0 <= 0 /\ -arg1+arg1P0 <= 0 /\ -1+arg2P0 > 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 10: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P1, arg3'=1+arg3, arg5'=arg5P1, arg2'=arg2P1, arg4'=1+arg6, (-arg1P1+arg2 >= 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ arg5 > 0 /\ -arg5+arg5P1 > 0 /\ 1+arg6 > 0 /\ arg2P1 > 0 /\ -arg3+arg4 > 0), cost: 1 13: f216_0_main_GE -> f339_0_length_Load : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg6, arg5'=arg5P4, arg2'=1, arg4'=arg4P4, (1-arg2+arg1P4 <= 0 /\ -arg1+arg1P4 <= 0 /\ -arg3+arg4 <= 0 /\ arg1P4 > 0), cost: 1 14: f216_0_main_GE -> f340_0_length_FieldAccess : arg1'=arg1P5, arg6'=arg5, arg3'=0, arg5'=0, arg2'=arg5, arg4'=0, (arg1 > 0 /\ arg5 > 0 /\ arg2 > 0 /\ arg1P5 > 0 /\ -arg3+arg4 <= 0), cost: 1 18: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P2, arg3'=1+arg6, arg5'=1, arg2'=arg2P2, arg4'=1+arg6, (-1-arg1P2+arg2P2 >= 0 /\ -1-arg1P2+arg2 >= 0 /\ arg1-arg1P2 >= 0 /\ 1+arg6 > 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0 /\ -arg3+arg4 > 0 /\ arg6-arg3 >= 0), cost: 1+arg6-arg3 19: f339_0_length_Load -> [6] : (arg1P3 > 0 /\ arg1-arg1P3 >= 0), cost: NONTERM 20: f339_0_length_Load -> f339_0_length_Load : arg1'=arg1P3, arg6'=arg6P3, arg5'=arg5P3, arg2'=arg2+n10, arg4'=arg4P3, (arg1P3 > 0 /\ arg1-arg1P3 >= 0), cost: n10 15: f340_0_length_FieldAccess -> f340_0_length_FieldAccess : arg1'=arg1P6, arg6'=arg6P6, arg5'=arg5P6, arg4'=arg4P6, (-arg5+arg2 > 0 /\ arg1P6 > 0 /\ arg5 > 0 /\ -2+arg1 > 0 /\ -arg4P6+arg4 > 0 /\ -arg5+arg5P6 > 0 /\ arg4 > 0 /\ arg3-arg5 > 0), cost: 1 16: f340_0_length_FieldAccess -> f340_0_length_FieldAccess : arg1'=arg1P7, arg6'=arg6P7, arg3'=0, arg5'=1, arg2'=arg2P7, arg4'=arg4P7, (arg1P7 > 0 /\ -arg6P7+arg2 > 0 /\ 1+arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg3 > 0 /\ -arg6+arg2 == 0 /\ arg3-arg4P7 > 0), cost: 1 8: __init -> f1_0_main_New : arg1'=arg1P8, arg6'=arg6P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, TRUE, cost: 1 Applied chaining First rule: f1_0_main_New -> f216_0_main_GE : arg1'=arg1P0, arg6'=arg2, arg3'=0, arg5'=0, arg2'=arg2P0, arg4'=1+arg2, (-1-arg1+arg2P0 <= 0 /\ -arg1+arg1P0 <= 0 /\ -1+arg2P0 > 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 Second rule: f216_0_main_GE -> f216_0_main_GE : arg1'=arg1P2, arg3'=1+arg6, arg5'=1, arg2'=arg2P2, arg4'=1+arg6, (-1-arg1P2+arg2P2 >= 0 /\ -1-arg1P2+arg2 >= 0 /\ arg1-arg1P2 >= 0 /\ 1+arg6 > 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0 /\ -arg3+arg4 > 0 /\ arg6-arg3 >= 0), cost: 1+arg6-arg3 New rule: f1_0_main_New -> f216_0_main_GE : arg1'=arg1P2, arg6'=arg2, arg3'=1+arg2, arg5'=1, arg2'=arg2P2, arg4'=1+arg2, (-arg1+arg1P2 <= 0 /\ -1-arg1P2+arg2P2 >= 0 /\ 1+arg2 > 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0), cost: 2+arg2 Applied deletion Removed the following rules: 10 18 Applied chaining First rule: f216_0_main_GE -> f339_0_length_Load : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg6, arg5'=arg5P4, arg2'=1, arg4'=arg4P4, (1-arg2+arg1P4 <= 0 /\ -arg1+arg1P4 <= 0 /\ -arg3+arg4 <= 0 /\ arg1P4 > 0), cost: 1 Second rule: f339_0_length_Load -> [6] : (arg1P3 > 0 /\ arg1-arg1P3 >= 0), cost: NONTERM New rule: f216_0_main_GE -> [6] : (-1+arg1 >= 0 /\ -2+arg2 >= 0 /\ -arg3+arg4 <= 0), cost: NONTERM Applied chaining First rule: f216_0_main_GE -> f339_0_length_Load : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg6, arg5'=arg5P4, arg2'=1, arg4'=arg4P4, (1-arg2+arg1P4 <= 0 /\ -arg1+arg1P4 <= 0 /\ -arg3+arg4 <= 0 /\ arg1P4 > 0), cost: 1 Second rule: f339_0_length_Load -> f339_0_length_Load : arg1'=arg1P3, arg6'=arg6P3, arg5'=arg5P3, arg2'=arg2+n10, arg4'=arg4P3, (arg1P3 > 0 /\ arg1-arg1P3 >= 0), cost: n10 New rule: f216_0_main_GE -> f339_0_length_Load : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg6, arg5'=arg5P3, arg2'=1+n10, arg4'=arg4P3, (arg1P3 > 0 /\ 1+arg1P3-arg2 <= 0 /\ -arg1+arg1P3 <= 0 /\ -arg3+arg4 <= 0), cost: 1+n10 Applied deletion Removed the following rules: 19 20 Applied chaining First rule: f216_0_main_GE -> f340_0_length_FieldAccess : arg1'=arg1P5, arg6'=arg5, arg3'=0, arg5'=0, arg2'=arg5, arg4'=0, (arg1 > 0 /\ arg5 > 0 /\ arg2 > 0 /\ arg1P5 > 0 /\ -arg3+arg4 <= 0), cost: 1 Second rule: f340_0_length_FieldAccess -> f340_0_length_FieldAccess : arg1'=arg1P7, arg6'=arg6P7, arg3'=0, arg5'=1, arg2'=arg2P7, arg4'=arg4P7, (arg1P7 > 0 /\ -arg6P7+arg2 > 0 /\ 1+arg2 > 0 /\ -2+arg1 > 0 /\ 1+arg3 > 0 /\ -arg6+arg2 == 0 /\ arg3-arg4P7 > 0), cost: 1 New rule: f216_0_main_GE -> f340_0_length_FieldAccess : arg1'=arg1P7, arg6'=arg6P7, arg3'=0, arg5'=1, arg2'=arg2P7, arg4'=arg4P7, (arg1 > 0 /\ arg5-arg6P7 > 0 /\ arg1P7 > 0 /\ arg5 > 0 /\ arg2 > 0 /\ -arg4P7 > 0 /\ -arg3+arg4 <= 0), cost: 2 Applied deletion Removed the following rules: 15 16 Chained accelerated rules with incoming rules Start location: __init 9: f1_0_main_New -> f216_0_main_GE : arg1'=arg1P0, arg6'=arg2, arg3'=0, arg5'=0, arg2'=arg2P0, arg4'=1+arg2, (-1-arg1+arg2P0 <= 0 /\ -arg1+arg1P0 <= 0 /\ -1+arg2P0 > 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 21: f1_0_main_New -> f216_0_main_GE : arg1'=arg1P2, arg6'=arg2, arg3'=1+arg2, arg5'=1, arg2'=arg2P2, arg4'=1+arg2, (-arg1+arg1P2 <= 0 /\ -1-arg1P2+arg2P2 >= 0 /\ 1+arg2 > 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0), cost: 2+arg2 13: f216_0_main_GE -> f339_0_length_Load : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg6, arg5'=arg5P4, arg2'=1, arg4'=arg4P4, (1-arg2+arg1P4 <= 0 /\ -arg1+arg1P4 <= 0 /\ -arg3+arg4 <= 0 /\ arg1P4 > 0), cost: 1 14: f216_0_main_GE -> f340_0_length_FieldAccess : arg1'=arg1P5, arg6'=arg5, arg3'=0, arg5'=0, arg2'=arg5, arg4'=0, (arg1 > 0 /\ arg5 > 0 /\ arg2 > 0 /\ arg1P5 > 0 /\ -arg3+arg4 <= 0), cost: 1 22: f216_0_main_GE -> [6] : (-1+arg1 >= 0 /\ -2+arg2 >= 0 /\ -arg3+arg4 <= 0), cost: NONTERM 23: f216_0_main_GE -> f339_0_length_Load : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg6, arg5'=arg5P3, arg2'=1+n10, arg4'=arg4P3, (arg1P3 > 0 /\ 1+arg1P3-arg2 <= 0 /\ -arg1+arg1P3 <= 0 /\ -arg3+arg4 <= 0), cost: 1+n10 24: f216_0_main_GE -> f340_0_length_FieldAccess : arg1'=arg1P7, arg6'=arg6P7, arg3'=0, arg5'=1, arg2'=arg2P7, arg4'=arg4P7, (arg1 > 0 /\ arg5-arg6P7 > 0 /\ arg1P7 > 0 /\ arg5 > 0 /\ arg2 > 0 /\ -arg4P7 > 0 /\ -arg3+arg4 <= 0), cost: 2 8: __init -> f1_0_main_New : arg1'=arg1P8, arg6'=arg6P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 9: f1_0_main_New -> f216_0_main_GE : arg1'=arg1P0, arg6'=arg2, arg3'=0, arg5'=0, arg2'=arg2P0, arg4'=1+arg2, (-1-arg1+arg2P0 <= 0 /\ -arg1+arg1P0 <= 0 /\ -1+arg2P0 > 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 21: f1_0_main_New -> f216_0_main_GE : arg1'=arg1P2, arg6'=arg2, arg3'=1+arg2, arg5'=1, arg2'=arg2P2, arg4'=1+arg2, (-arg1+arg1P2 <= 0 /\ -1-arg1P2+arg2P2 >= 0 /\ 1+arg2 > 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0), cost: 2+arg2 22: f216_0_main_GE -> [6] : (-1+arg1 >= 0 /\ -2+arg2 >= 0 /\ -arg3+arg4 <= 0), cost: NONTERM 8: __init -> f1_0_main_New : arg1'=arg1P8, arg6'=arg6P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, TRUE, cost: 1 Eliminating location f1_0_main_New by chaining: Applied chaining First rule: __init -> f1_0_main_New : arg1'=arg1P8, arg6'=arg6P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, TRUE, cost: 1 Second rule: f1_0_main_New -> f216_0_main_GE : arg1'=arg1P0, arg6'=arg2, arg3'=0, arg5'=0, arg2'=arg2P0, arg4'=1+arg2, (-1-arg1+arg2P0 <= 0 /\ -arg1+arg1P0 <= 0 /\ -1+arg2P0 > 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 New rule: __init -> f216_0_main_GE : arg1'=arg1P0, arg6'=arg2P8, arg3'=0, arg5'=0, arg2'=arg2P0, arg4'=1+arg2P8, (-1+arg2P0 > 0 /\ arg1P0 > 0 /\ -1-arg1P8+arg2P0 <= 0 /\ 1+arg2P8 > 0 /\ -arg1P8+arg1P0 <= 0), cost: 2 Applied chaining First rule: __init -> f1_0_main_New : arg1'=arg1P8, arg6'=arg6P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, TRUE, cost: 1 Second rule: f1_0_main_New -> f216_0_main_GE : arg1'=arg1P2, arg6'=arg2, arg3'=1+arg2, arg5'=1, arg2'=arg2P2, arg4'=1+arg2, (-arg1+arg1P2 <= 0 /\ -1-arg1P2+arg2P2 >= 0 /\ 1+arg2 > 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0), cost: 2+arg2 New rule: __init -> f216_0_main_GE : arg1'=arg1P2, arg6'=arg2P8, arg3'=1+arg2P8, arg5'=1, arg2'=arg2P2, arg4'=1+arg2P8, (-1-arg1P2+arg2P2 >= 0 /\ -arg1P8+arg1P2 <= 0 /\ 1+arg2P8 > 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0), cost: 3+arg2P8 Applied deletion Removed the following rules: 8 9 21 Eliminated locations on tree-shaped paths Start location: __init 22: f216_0_main_GE -> [6] : (-1+arg1 >= 0 /\ -2+arg2 >= 0 /\ -arg3+arg4 <= 0), cost: NONTERM 25: __init -> f216_0_main_GE : arg1'=arg1P0, arg6'=arg2P8, arg3'=0, arg5'=0, arg2'=arg2P0, arg4'=1+arg2P8, (-1+arg2P0 > 0 /\ arg1P0 > 0 /\ -1-arg1P8+arg2P0 <= 0 /\ 1+arg2P8 > 0 /\ -arg1P8+arg1P0 <= 0), cost: 2 26: __init -> f216_0_main_GE : arg1'=arg1P2, arg6'=arg2P8, arg3'=1+arg2P8, arg5'=1, arg2'=arg2P2, arg4'=1+arg2P8, (-1-arg1P2+arg2P2 >= 0 /\ -arg1P8+arg1P2 <= 0 /\ 1+arg2P8 > 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0), cost: 3+arg2P8 Eliminating location f216_0_main_GE by chaining: Applied chaining First rule: __init -> f216_0_main_GE : arg1'=arg1P2, arg6'=arg2P8, arg3'=1+arg2P8, arg5'=1, arg2'=arg2P2, arg4'=1+arg2P8, (-1-arg1P2+arg2P2 >= 0 /\ -arg1P8+arg1P2 <= 0 /\ 1+arg2P8 > 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0), cost: 3+arg2P8 Second rule: f216_0_main_GE -> [6] : (-1+arg1 >= 0 /\ -2+arg2 >= 0 /\ -arg3+arg4 <= 0), cost: NONTERM New rule: __init -> [6] : (0 <= 0 /\ -1-arg1P2+arg2P2 >= 0 /\ -arg1P8+arg1P2 <= 0 /\ 1+arg2P8 > 0 /\ -1+arg1P2 >= 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0 /\ -2+arg2P2 >= 0), cost: NONTERM Applied simplification Original rule: __init -> [6] : (0 <= 0 /\ -1-arg1P2+arg2P2 >= 0 /\ -arg1P8+arg1P2 <= 0 /\ 1+arg2P8 > 0 /\ -1+arg1P2 >= 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0 /\ -2+arg2P2 >= 0), cost: NONTERM New rule: __init -> [6] : (-1-arg1P2+arg2P2 >= 0 /\ -arg1P8+arg1P2 <= 0 /\ 1+arg2P8 > 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0), cost: NONTERM Applied deletion Removed the following rules: 22 25 26 Eliminated locations on tree-shaped paths Start location: __init 27: __init -> [6] : (-1-arg1P2+arg2P2 >= 0 /\ -arg1P8+arg1P2 <= 0 /\ 1+arg2P8 > 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 27 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (-1-arg1P2+arg2P2 >= 0 /\ -arg1P8+arg1P2 <= 0 /\ 1+arg2P8 > 0 /\ -3+arg2P2 > 0 /\ 3+arg1P2-arg2P2 >= 0)