NO Initial ITS Start location: __init 0: f1_0_main_Load -> f49_0_loop_LE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ -arg1P0+arg2 == 0 /\ 1+arg2 > 0), cost: 1 1: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1P1, arg2'=arg2P1, (arg1-5*x50 == 0 /\ -2+arg1 > 0 /\ arg1-arg1P1 == 0), cost: 1 3: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1P3, arg2'=arg2P3, (-2+arg1 > 0 /\ arg1-5*x90 > 0 /\ arg1-arg1P3 == 0), cost: 1 2: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1P2, arg2'=arg2P2, (-5+arg1-5*x70 < 0 /\ arg1-arg1P2 == 0 /\ arg1-5*x70 >= 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 1 4: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1P4, arg2'=arg2P4, (arg1-5*x110 > 0 /\ -5+arg1-5*x110 < 0 /\ -1+arg1-arg1P4 == 0 /\ -2+arg1 > 0), cost: 1 5: __init -> f1_0_main_Load : arg1'=arg1P5, arg2'=arg2P5, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f49_0_loop_LE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ -arg1P0+arg2 == 0 /\ 1+arg2 > 0), cost: 1 New rule: f1_0_main_Load -> f49_0_loop_LE : arg1'=arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1P1, arg2'=arg2P1, (arg1-5*x50 == 0 /\ -2+arg1 > 0 /\ arg1-arg1P1 == 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2P1, (arg1-5*x50 == 0 /\ -2+arg1 > 0), cost: 1 Applied preprocessing Original rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1P2, arg2'=arg2P2, (-5+arg1-5*x70 < 0 /\ arg1-arg1P2 == 0 /\ arg1-5*x70 >= 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 1 New rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 1 Applied preprocessing Original rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1P3, arg2'=arg2P3, (-2+arg1 > 0 /\ arg1-5*x90 > 0 /\ arg1-arg1P3 == 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2P3, (-2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 1 Applied preprocessing Original rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1P4, arg2'=arg2P4, (arg1-5*x110 > 0 /\ -5+arg1-5*x110 < 0 /\ -1+arg1-arg1P4 == 0 /\ -2+arg1 > 0), cost: 1 New rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2P4, (arg1-5*x110 > 0 /\ -2+arg1 > 0 /\ 5-arg1+5*x110 > 0), cost: 1 Simplified rules Start location: __init 6: f1_0_main_Load -> f49_0_loop_LE : arg1'=arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 7: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2P1, (arg1-5*x50 == 0 /\ -2+arg1 > 0), cost: 1 9: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2P3, (-2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 1 8: f49_0_loop_LE\' -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 1 10: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2P4, (arg1-5*x110 > 0 /\ -2+arg1 > 0 /\ 5-arg1+5*x110 > 0), cost: 1 5: __init -> f1_0_main_Load : arg1'=arg1P5, arg2'=arg2P5, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1P5, arg2'=arg2P5, TRUE, cost: 1 Second rule: f1_0_main_Load -> f49_0_loop_LE : arg1'=arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 New rule: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Applied deletion Removed the following rules: 5 6 Eliminated locations on linear paths Start location: __init 7: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2P1, (arg1-5*x50 == 0 /\ -2+arg1 > 0), cost: 1 9: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2P3, (-2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 1 8: f49_0_loop_LE\' -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 1 10: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2P4, (arg1-5*x110 > 0 /\ -2+arg1 > 0 /\ 5-arg1+5*x110 > 0), cost: 1 11: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Eliminating location f49_0_loop_LE\' by chaining: Applied chaining First rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2P1, (arg1-5*x50 == 0 /\ -2+arg1 > 0), cost: 1 Second rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 2 Applied chaining First rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2P3, (-2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 1 Second rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 2 Applied chaining First rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2P3, (-2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 1 Second rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2P4, (arg1-5*x110 > 0 /\ -2+arg1 > 0 /\ 5-arg1+5*x110 > 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2P4, (arg1-5*x110 > 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0 /\ 5-arg1+5*x110 > 0), cost: 2 Applied deletion Removed the following rules: 7 8 9 10 Eliminated locations on tree-shaped paths Start location: __init 12: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 2 13: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 2 14: f49_0_loop_LE -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2P4, (arg1-5*x110 > 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0 /\ 5-arg1+5*x110 > 0), cost: 2 11: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Applied nonterm Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 2 New rule: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0), cost: NONTERM Applied acceleration Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 2 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0), cost: 2*n2 Applied nonterm Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 2 New rule: f49_0_loop_LE -> [4] : (-arg1+5*x70 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM Applied acceleration Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 2 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (-arg1+5*x70 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 2*n4 Applied acceleration Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2P4, (arg1-5*x110 > 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0 /\ 5-arg1+5*x110 > 0), cost: 2 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=arg1-n6, arg2'=arg2P4, (-1+n6 >= 0 /\ 1+arg1-n6-5*x110 > 0 /\ -1+arg1-n6 > 0 /\ 1+arg1-n6-5*x90 > 0 /\ 5-arg1+5*x110 > 0), cost: 2*n6 Applied instantiation Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=arg1-n6, arg2'=arg2P4, (-1+n6 >= 0 /\ 1+arg1-n6-5*x110 > 0 /\ -1+arg1-n6 > 0 /\ 1+arg1-n6-5*x90 > 0 /\ 5-arg1+5*x110 > 0), cost: 2*n6 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=5*x110, arg2'=arg2P4, (1 > 0 /\ 1+5*x110-5*x90 > 0 /\ -1+5*x110 > 0 /\ -1+arg1-5*x110 >= 0 /\ 5-arg1+5*x110 > 0), cost: 2*arg1-10*x110 Applied instantiation Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=arg1-n6, arg2'=arg2P4, (-1+n6 >= 0 /\ 1+arg1-n6-5*x110 > 0 /\ -1+arg1-n6 > 0 /\ 1+arg1-n6-5*x90 > 0 /\ 5-arg1+5*x110 > 0), cost: 2*n6 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=2, arg2'=arg2P4, (1 > 0 /\ 3-5*x90 > 0 /\ -3+arg1 >= 0 /\ 5-arg1+5*x110 > 0 /\ 3-5*x110 > 0), cost: -4+2*arg1 Applied instantiation Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=arg1-n6, arg2'=arg2P4, (-1+n6 >= 0 /\ 1+arg1-n6-5*x110 > 0 /\ -1+arg1-n6 > 0 /\ 1+arg1-n6-5*x90 > 0 /\ 5-arg1+5*x110 > 0), cost: 2*n6 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=5*x90, arg2'=arg2P4, (-1+arg1-5*x90 >= 0 /\ 1 > 0 /\ 1-5*x110+5*x90 > 0 /\ -1+5*x90 > 0 /\ 5-arg1+5*x110 > 0), cost: 2*arg1-10*x90 Applied chaining First rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 2 Second rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 2 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 4 Applied nonterm Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 4 New rule: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM Applied acceleration Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 4 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 4*n10 Applied chaining First rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 2 Second rule: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM New rule: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM Heuristically decided not to add the following rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 4*n10 Applied chaining First rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 2 Second rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 2 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 4 Applied nonterm Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 4 New rule: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM Applied acceleration Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 4 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 4*n12 Applied chaining First rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0), cost: 2 Second rule: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM New rule: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ arg1-5*x50 == 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM Heuristically decided not to add the following rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 4*n12 Applied simplification Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=5*x110, arg2'=arg2P4, (1 > 0 /\ 1+5*x110-5*x90 > 0 /\ -1+5*x110 > 0 /\ -1+arg1-5*x110 >= 0 /\ 5-arg1+5*x110 > 0), cost: 2*arg1-10*x110 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=5*x110, arg2'=arg2P4, (1+5*x110-5*x90 > 0 /\ -1+5*x110 > 0 /\ -1+arg1-5*x110 >= 0 /\ 5-arg1+5*x110 > 0), cost: 2*arg1-10*x110 Applied simplification Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=2, arg2'=arg2P4, (1 > 0 /\ 3-5*x90 > 0 /\ -3+arg1 >= 0 /\ 5-arg1+5*x110 > 0 /\ 3-5*x110 > 0), cost: -4+2*arg1 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=2, arg2'=arg2P4, (3-5*x90 > 0 /\ -3+arg1 >= 0 /\ 5-arg1+5*x110 > 0 /\ 3-5*x110 > 0), cost: -4+2*arg1 Applied simplification Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=5*x90, arg2'=arg2P4, (-1+arg1-5*x90 >= 0 /\ 1 > 0 /\ 1-5*x110+5*x90 > 0 /\ -1+5*x90 > 0 /\ 5-arg1+5*x110 > 0), cost: 2*arg1-10*x90 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=5*x90, arg2'=arg2P4, (-1+arg1-5*x90 >= 0 /\ 1-5*x110+5*x90 > 0 /\ -1+5*x90 > 0 /\ 5-arg1+5*x110 > 0), cost: 2*arg1-10*x90 Applied simplification Original rule: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM New rule: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM Applied simplification Original rule: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ arg1-5*x50 == 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM New rule: f49_0_loop_LE -> [4] : (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM Applied deletion Removed the following rules: 12 13 14 Applied deletion Removed the following rules: 22 Accelerated simple loops Start location: __init 15: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0), cost: NONTERM 16: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0), cost: 2*n2 17: f49_0_loop_LE -> [4] : (-arg1+5*x70 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM 18: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (-arg1+5*x70 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 2*n4 24: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM 26: f49_0_loop_LE -> f49_0_loop_LE : arg1'=5*x110, arg2'=arg2P4, (1+5*x110-5*x90 > 0 /\ -1+5*x110 > 0 /\ -1+arg1-5*x110 >= 0 /\ 5-arg1+5*x110 > 0), cost: 2*arg1-10*x110 27: f49_0_loop_LE -> f49_0_loop_LE : arg1'=2, arg2'=arg2P4, (3-5*x90 > 0 /\ -3+arg1 >= 0 /\ 5-arg1+5*x110 > 0 /\ 3-5*x110 > 0), cost: -4+2*arg1 28: f49_0_loop_LE -> f49_0_loop_LE : arg1'=5*x90, arg2'=arg2P4, (-1+arg1-5*x90 >= 0 /\ 1-5*x110+5*x90 > 0 /\ -1+5*x90 > 0 /\ 5-arg1+5*x110 > 0), cost: 2*arg1-10*x90 29: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM 30: f49_0_loop_LE -> [4] : (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM 11: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Applied chaining First rule: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Second rule: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0), cost: NONTERM New rule: __init -> [4] : -2+5*x50 > 0, cost: NONTERM Applied chaining First rule: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Second rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0), cost: 2*n2 New rule: __init -> f49_0_loop_LE : arg1'=5*x50, arg2'=arg2P2, -2+5*x50 > 0, cost: 2+2*n2 Applied chaining First rule: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Second rule: f49_0_loop_LE -> [4] : (-arg1+5*x70 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM New rule: __init -> [4] : (-2+5*x70 > 0 /\ 5*x70-5*x90 > 0), cost: NONTERM Applied chaining First rule: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Second rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, (-arg1+5*x70 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: 2*n4 New rule: __init -> f49_0_loop_LE : arg1'=5*x70, arg2'=arg2P2, (-2+5*x70 > 0 /\ 5*x70-5*x90 > 0), cost: 2+2*n4 Applied chaining First rule: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Second rule: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x70 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 >= 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM New rule: __init -> [4] : (-2+5*x50 > 0 /\ 5*x50-5*x90 > 0), cost: NONTERM Applied chaining First rule: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Second rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=5*x110, arg2'=arg2P4, (1+5*x110-5*x90 > 0 /\ -1+5*x110 > 0 /\ -1+arg1-5*x110 >= 0 /\ 5-arg1+5*x110 > 0), cost: 2*arg1-10*x110 New rule: __init -> f49_0_loop_LE : arg1'=5*x110, arg2'=arg2P4, (5+5*x110-arg2P5 > 0 /\ 1+5*x110-5*x90 > 0 /\ -1-5*x110+arg2P5 >= 0 /\ -1+5*x110 > 0), cost: 2-10*x110+2*arg2P5 Applied chaining First rule: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Second rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=2, arg2'=arg2P4, (3-5*x90 > 0 /\ -3+arg1 >= 0 /\ 5-arg1+5*x110 > 0 /\ 3-5*x110 > 0), cost: -4+2*arg1 New rule: __init -> f49_0_loop_LE : arg1'=2, arg2'=arg2P4, (-3+arg2P5 >= 0 /\ 5+5*x110-arg2P5 > 0 /\ 3-5*x90 > 0 /\ 3-5*x110 > 0), cost: -2+2*arg2P5 Applied chaining First rule: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Second rule: f49_0_loop_LE -> f49_0_loop_LE : arg1'=5*x90, arg2'=arg2P4, (-1+arg1-5*x90 >= 0 /\ 1-5*x110+5*x90 > 0 /\ -1+5*x90 > 0 /\ 5-arg1+5*x110 > 0), cost: 2*arg1-10*x90 New rule: __init -> f49_0_loop_LE : arg1'=5*x90, arg2'=arg2P4, (5+5*x110-arg2P5 > 0 /\ 1-5*x110+5*x90 > 0 /\ -1+5*x90 > 0 /\ -1-5*x90+arg2P5 >= 0), cost: 2-10*x90+2*arg2P5 Applied chaining First rule: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Second rule: f49_0_loop_LE -> [4] : (arg1-5*x50 >= 0 /\ -arg1+5*x50 >= 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM New rule: __init -> [4] : (-2+5*x50 > 0 /\ 5*x50-5*x90 > 0), cost: NONTERM Applied chaining First rule: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Second rule: f49_0_loop_LE -> [4] : (arg1-5*x50 == 0 /\ arg1-5*x70 == 0 /\ -2+arg1 > 0 /\ arg1-5*x90 > 0), cost: NONTERM New rule: __init -> [4] : (-2+5*x50 > 0 /\ 5*x50-5*x90 > 0), cost: NONTERM Applied deletion Removed the following rules: 15 16 17 18 24 26 27 28 29 30 Chained accelerated rules with incoming rules Start location: __init 11: __init -> f49_0_loop_LE : arg1'=arg2P5, arg2'=arg2P0, (1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 31: __init -> [4] : -2+5*x50 > 0, cost: NONTERM 32: __init -> f49_0_loop_LE : arg1'=5*x50, arg2'=arg2P2, -2+5*x50 > 0, cost: 2+2*n2 33: __init -> [4] : (-2+5*x70 > 0 /\ 5*x70-5*x90 > 0), cost: NONTERM 34: __init -> f49_0_loop_LE : arg1'=5*x70, arg2'=arg2P2, (-2+5*x70 > 0 /\ 5*x70-5*x90 > 0), cost: 2+2*n4 35: __init -> [4] : (-2+5*x50 > 0 /\ 5*x50-5*x90 > 0), cost: NONTERM 36: __init -> f49_0_loop_LE : arg1'=5*x110, arg2'=arg2P4, (5+5*x110-arg2P5 > 0 /\ 1+5*x110-5*x90 > 0 /\ -1-5*x110+arg2P5 >= 0 /\ -1+5*x110 > 0), cost: 2-10*x110+2*arg2P5 37: __init -> f49_0_loop_LE : arg1'=2, arg2'=arg2P4, (-3+arg2P5 >= 0 /\ 5+5*x110-arg2P5 > 0 /\ 3-5*x90 > 0 /\ 3-5*x110 > 0), cost: -2+2*arg2P5 38: __init -> f49_0_loop_LE : arg1'=5*x90, arg2'=arg2P4, (5+5*x110-arg2P5 > 0 /\ 1-5*x110+5*x90 > 0 /\ -1+5*x90 > 0 /\ -1-5*x90+arg2P5 >= 0), cost: 2-10*x90+2*arg2P5 39: __init -> [4] : (-2+5*x50 > 0 /\ 5*x50-5*x90 > 0), cost: NONTERM 40: __init -> [4] : (-2+5*x50 > 0 /\ 5*x50-5*x90 > 0), cost: NONTERM Removed unreachable locations and irrelevant leafs Start location: __init 31: __init -> [4] : -2+5*x50 > 0, cost: NONTERM 33: __init -> [4] : (-2+5*x70 > 0 /\ 5*x70-5*x90 > 0), cost: NONTERM 35: __init -> [4] : (-2+5*x50 > 0 /\ 5*x50-5*x90 > 0), cost: NONTERM 39: __init -> [4] : (-2+5*x50 > 0 /\ 5*x50-5*x90 > 0), cost: NONTERM 40: __init -> [4] : (-2+5*x50 > 0 /\ 5*x50-5*x90 > 0), cost: NONTERM Removed duplicate rules (ignoring updates) Start location: __init 31: __init -> [4] : -2+5*x50 > 0, cost: NONTERM 33: __init -> [4] : (-2+5*x70 > 0 /\ 5*x70-5*x90 > 0), cost: NONTERM 40: __init -> [4] : (-2+5*x50 > 0 /\ 5*x50-5*x90 > 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 31 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: -2+5*x50 > 0