NO Initial ITS Start location: __init 0: f1_0_main_Load -> f51_0_increase_GE : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0 /\ -arg1P0+arg2 == 0), cost: 1 1: f51_0_increase_GE -> f83_0_increase_LE : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1-arg2P1 == 0 /\ -10+arg1 < 0 /\ arg1-arg1P1 == 0 /\ arg1-arg3P1 == 0), cost: 1 2: f83_0_increase_LE -> f51_0_increase_GE : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (-arg3+arg2 == 0 /\ 1+arg1-arg1P2 == 0 /\ -6+arg2 < 0), cost: 1 3: f83_0_increase_LE -> f83_0_increase_LE : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (1+arg2-arg2P3 == 0 /\ -arg3+arg2 == 0 /\ 1-arg3P3+arg2 == 0 /\ -5+arg2 > 0 /\ arg1-arg1P3 == 0), cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f51_0_increase_GE : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0 /\ -arg1P0+arg2 == 0), cost: 1 New rule: f1_0_main_Load -> f51_0_increase_GE : arg1'=arg2, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f51_0_increase_GE -> f83_0_increase_LE : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1-arg2P1 == 0 /\ -10+arg1 < 0 /\ arg1-arg1P1 == 0 /\ arg1-arg3P1 == 0), cost: 1 New rule: f51_0_increase_GE -> f83_0_increase_LE : arg3'=arg1, arg2'=arg1, 10-arg1 > 0, cost: 1 Applied preprocessing Original rule: f83_0_increase_LE -> f51_0_increase_GE : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (-arg3+arg2 == 0 /\ 1+arg1-arg1P2 == 0 /\ -6+arg2 < 0), cost: 1 New rule: f83_0_increase_LE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (-arg3+arg2 == 0 /\ 6-arg2 > 0), cost: 1 Applied preprocessing Original rule: f83_0_increase_LE -> f83_0_increase_LE : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (1+arg2-arg2P3 == 0 /\ -arg3+arg2 == 0 /\ 1-arg3P3+arg2 == 0 /\ -5+arg2 > 0 /\ arg1-arg1P3 == 0), cost: 1 New rule: f83_0_increase_LE -> f83_0_increase_LE : arg3'=1+arg2, arg2'=1+arg2, (-arg3+arg2 == 0 /\ -5+arg2 > 0), cost: 1 Simplified rules Start location: __init 5: f1_0_main_Load -> f51_0_increase_GE : arg1'=arg2, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 6: f51_0_increase_GE -> f83_0_increase_LE : arg3'=arg1, arg2'=arg1, 10-arg1 > 0, cost: 1 7: f83_0_increase_LE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (-arg3+arg2 == 0 /\ 6-arg2 > 0), cost: 1 8: f83_0_increase_LE -> f83_0_increase_LE : arg3'=1+arg2, arg2'=1+arg2, (-arg3+arg2 == 0 /\ -5+arg2 > 0), cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, TRUE, cost: 1 Applied nonterm Original rule: f83_0_increase_LE -> f83_0_increase_LE : arg3'=1+arg2, arg2'=1+arg2, (-arg3+arg2 == 0 /\ -5+arg2 > 0), cost: 1 New rule: f83_0_increase_LE -> [4] : (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ -5+arg2 > 0), cost: NONTERM Applied acceleration Original rule: f83_0_increase_LE -> f83_0_increase_LE : arg3'=1+arg2, arg2'=1+arg2, (-arg3+arg2 == 0 /\ -5+arg2 > 0), cost: 1 New rule: f83_0_increase_LE -> f83_0_increase_LE : arg3'=n0+arg2, arg2'=n0+arg2, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ -5+arg2 > 0), cost: n0 Applied deletion Removed the following rules: 8 Accelerated simple loops Start location: __init 5: f1_0_main_Load -> f51_0_increase_GE : arg1'=arg2, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 6: f51_0_increase_GE -> f83_0_increase_LE : arg3'=arg1, arg2'=arg1, 10-arg1 > 0, cost: 1 7: f83_0_increase_LE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (-arg3+arg2 == 0 /\ 6-arg2 > 0), cost: 1 9: f83_0_increase_LE -> [4] : (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ -5+arg2 > 0), cost: NONTERM 10: f83_0_increase_LE -> f83_0_increase_LE : arg3'=n0+arg2, arg2'=n0+arg2, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ -5+arg2 > 0), cost: n0 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, TRUE, cost: 1 Applied chaining First rule: f51_0_increase_GE -> f83_0_increase_LE : arg3'=arg1, arg2'=arg1, 10-arg1 > 0, cost: 1 Second rule: f83_0_increase_LE -> [4] : (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ -5+arg2 > 0), cost: NONTERM New rule: f51_0_increase_GE -> [4] : (10-arg1 > 0 /\ -5+arg1 > 0), cost: NONTERM Applied chaining First rule: f51_0_increase_GE -> f83_0_increase_LE : arg3'=arg1, arg2'=arg1, 10-arg1 > 0, cost: 1 Second rule: f83_0_increase_LE -> f83_0_increase_LE : arg3'=n0+arg2, arg2'=n0+arg2, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ -5+arg2 > 0), cost: n0 New rule: f51_0_increase_GE -> f83_0_increase_LE : arg3'=arg1+n0, arg2'=arg1+n0, (10-arg1 > 0 /\ -5+arg1 > 0), cost: 1+n0 Applied deletion Removed the following rules: 9 10 Chained accelerated rules with incoming rules Start location: __init 5: f1_0_main_Load -> f51_0_increase_GE : arg1'=arg2, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 6: f51_0_increase_GE -> f83_0_increase_LE : arg3'=arg1, arg2'=arg1, 10-arg1 > 0, cost: 1 11: f51_0_increase_GE -> [4] : (10-arg1 > 0 /\ -5+arg1 > 0), cost: NONTERM 12: f51_0_increase_GE -> f83_0_increase_LE : arg3'=arg1+n0, arg2'=arg1+n0, (10-arg1 > 0 /\ -5+arg1 > 0), cost: 1+n0 7: f83_0_increase_LE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (-arg3+arg2 == 0 /\ 6-arg2 > 0), cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, TRUE, cost: 1 Second rule: f1_0_main_Load -> f51_0_increase_GE : arg1'=arg2, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 New rule: __init -> f51_0_increase_GE : arg1'=arg2P4, arg3'=arg3P0, arg2'=arg2P0, (arg1P4 > 0 /\ 1+arg2P4 > 0), cost: 2 Applied deletion Removed the following rules: 4 5 Eliminated locations on linear paths Start location: __init 6: f51_0_increase_GE -> f83_0_increase_LE : arg3'=arg1, arg2'=arg1, 10-arg1 > 0, cost: 1 11: f51_0_increase_GE -> [4] : (10-arg1 > 0 /\ -5+arg1 > 0), cost: NONTERM 12: f51_0_increase_GE -> f83_0_increase_LE : arg3'=arg1+n0, arg2'=arg1+n0, (10-arg1 > 0 /\ -5+arg1 > 0), cost: 1+n0 7: f83_0_increase_LE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (-arg3+arg2 == 0 /\ 6-arg2 > 0), cost: 1 13: __init -> f51_0_increase_GE : arg1'=arg2P4, arg3'=arg3P0, arg2'=arg2P0, (arg1P4 > 0 /\ 1+arg2P4 > 0), cost: 2 Eliminating location f83_0_increase_LE by chaining: Applied chaining First rule: f51_0_increase_GE -> f83_0_increase_LE : arg3'=arg1, arg2'=arg1, 10-arg1 > 0, cost: 1 Second rule: f83_0_increase_LE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (-arg3+arg2 == 0 /\ 6-arg2 > 0), cost: 1 New rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (0 == 0 /\ 10-arg1 > 0 /\ 6-arg1 > 0), cost: 2 Applied simplification Original rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (0 == 0 /\ 10-arg1 > 0 /\ 6-arg1 > 0), cost: 2 New rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, 6-arg1 > 0, cost: 2 Applied chaining First rule: f51_0_increase_GE -> f83_0_increase_LE : arg3'=arg1+n0, arg2'=arg1+n0, (10-arg1 > 0 /\ -5+arg1 > 0), cost: 1+n0 Second rule: f83_0_increase_LE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (-arg3+arg2 == 0 /\ 6-arg2 > 0), cost: 1 New rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (0 == 0 /\ 10-arg1 > 0 /\ 6-arg1-n0 > 0 /\ -5+arg1 > 0), cost: 2+n0 Applied simplification Original rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (0 == 0 /\ 10-arg1 > 0 /\ 6-arg1-n0 > 0 /\ -5+arg1 > 0), cost: 2+n0 New rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (10-arg1 > 0 /\ 6-arg1-n0 > 0 /\ -5+arg1 > 0), cost: 2+n0 Applied deletion Removed the following rules: 6 7 12 Eliminated locations on tree-shaped paths Start location: __init 11: f51_0_increase_GE -> [4] : (10-arg1 > 0 /\ -5+arg1 > 0), cost: NONTERM 14: f51_0_increase_GE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, 6-arg1 > 0, cost: 2 15: f51_0_increase_GE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (10-arg1 > 0 /\ 6-arg1-n0 > 0 /\ -5+arg1 > 0), cost: 2+n0 13: __init -> f51_0_increase_GE : arg1'=arg2P4, arg3'=arg3P0, arg2'=arg2P0, (arg1P4 > 0 /\ 1+arg2P4 > 0), cost: 2 Applied acceleration Original rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, 6-arg1 > 0, cost: 2 New rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=arg1+n4, arg3'=arg3P2, arg2'=arg2P2, (-1+n4 >= 0 /\ 7-arg1-n4 > 0), cost: 2*n4 Applied instantiation Original rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=arg1+n4, arg3'=arg3P2, arg2'=arg2P2, (-1+n4 >= 0 /\ 7-arg1-n4 > 0), cost: 2*n4 New rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=6, arg3'=arg3P2, arg2'=arg2P2, (1 > 0 /\ 5-arg1 >= 0), cost: 12-2*arg1 Applied acceleration Original rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=1+arg1, arg3'=arg3P2, arg2'=arg2P2, (10-arg1 > 0 /\ 6-arg1-n0 > 0 /\ -5+arg1 > 0), cost: 2+n0 New rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=arg1+n6, arg3'=arg3P2, arg2'=arg2P2, (-1+n6 >= 0 /\ 11-arg1-n6 > 0 /\ 7-arg1-n0-n6 > 0 /\ -5+arg1 > 0), cost: n0*n6+2*n6 Applied instantiation Original rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=arg1+n6, arg3'=arg3P2, arg2'=arg2P2, (-1+n6 >= 0 /\ 11-arg1-n6 > 0 /\ 7-arg1-n0-n6 > 0 /\ -5+arg1 > 0), cost: n0*n6+2*n6 New rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=10, arg3'=arg3P2, arg2'=arg2P2, (1 > 0 /\ 9-arg1 >= 0 /\ -3-n0 > 0 /\ -5+arg1 > 0), cost: 20-2*arg1-n0*(-10+arg1) Applied instantiation Original rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=arg1+n6, arg3'=arg3P2, arg2'=arg2P2, (-1+n6 >= 0 /\ 11-arg1-n6 > 0 /\ 7-arg1-n0-n6 > 0 /\ -5+arg1 > 0), cost: n0*n6+2*n6 New rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=6-n0, arg3'=arg3P2, arg2'=arg2P2, (5+n0 > 0 /\ 1 > 0 /\ 5-arg1-n0 >= 0 /\ -5+arg1 > 0), cost: 12-2*arg1-2*n0-n0*(-6+arg1+n0) Applied simplification Original rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=6, arg3'=arg3P2, arg2'=arg2P2, (1 > 0 /\ 5-arg1 >= 0), cost: 12-2*arg1 New rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=6, arg3'=arg3P2, arg2'=arg2P2, -5+arg1 <= 0, cost: 12-2*arg1 Applied simplification Original rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=10, arg3'=arg3P2, arg2'=arg2P2, (1 > 0 /\ 9-arg1 >= 0 /\ -3-n0 > 0 /\ -5+arg1 > 0), cost: 20-2*arg1-n0*(-10+arg1) New rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=10, arg3'=arg3P2, arg2'=arg2P2, (-3-n0 > 0 /\ -9+arg1 <= 0 /\ -5+arg1 > 0), cost: 20-2*arg1-n0*(-10+arg1) Applied simplification Original rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=6-n0, arg3'=arg3P2, arg2'=arg2P2, (5+n0 > 0 /\ 1 > 0 /\ 5-arg1-n0 >= 0 /\ -5+arg1 > 0), cost: 12-2*arg1-2*n0-n0*(-6+arg1+n0) New rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=6-n0, arg3'=arg3P2, arg2'=arg2P2, (5+n0 > 0 /\ 5-arg1-n0 >= 0 /\ -5+arg1 > 0), cost: 12-2*arg1-2*n0-n0*(-6+arg1+n0) Applied deletion Removed the following rules: 14 15 Accelerated simple loops Start location: __init 11: f51_0_increase_GE -> [4] : (10-arg1 > 0 /\ -5+arg1 > 0), cost: NONTERM 19: f51_0_increase_GE -> f51_0_increase_GE : arg1'=6, arg3'=arg3P2, arg2'=arg2P2, -5+arg1 <= 0, cost: 12-2*arg1 20: f51_0_increase_GE -> f51_0_increase_GE : arg1'=10, arg3'=arg3P2, arg2'=arg2P2, (-3-n0 > 0 /\ -9+arg1 <= 0 /\ -5+arg1 > 0), cost: 20-2*arg1-n0*(-10+arg1) 21: f51_0_increase_GE -> f51_0_increase_GE : arg1'=6-n0, arg3'=arg3P2, arg2'=arg2P2, (5+n0 > 0 /\ 5-arg1-n0 >= 0 /\ -5+arg1 > 0), cost: 12-2*arg1-2*n0-n0*(-6+arg1+n0) 13: __init -> f51_0_increase_GE : arg1'=arg2P4, arg3'=arg3P0, arg2'=arg2P0, (arg1P4 > 0 /\ 1+arg2P4 > 0), cost: 2 Applied chaining First rule: __init -> f51_0_increase_GE : arg1'=arg2P4, arg3'=arg3P0, arg2'=arg2P0, (arg1P4 > 0 /\ 1+arg2P4 > 0), cost: 2 Second rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=6, arg3'=arg3P2, arg2'=arg2P2, -5+arg1 <= 0, cost: 12-2*arg1 New rule: __init -> f51_0_increase_GE : arg1'=6, arg3'=arg3P2, arg2'=arg2P2, (-5+arg2P4 <= 0 /\ 1+arg2P4 > 0), cost: 14-2*arg2P4 Applied chaining First rule: __init -> f51_0_increase_GE : arg1'=arg2P4, arg3'=arg3P0, arg2'=arg2P0, (arg1P4 > 0 /\ 1+arg2P4 > 0), cost: 2 Second rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=10, arg3'=arg3P2, arg2'=arg2P2, (-3-n0 > 0 /\ -9+arg1 <= 0 /\ -5+arg1 > 0), cost: 20-2*arg1-n0*(-10+arg1) New rule: __init -> f51_0_increase_GE : arg1'=10, arg3'=arg3P2, arg2'=arg2P2, (-3-n0 > 0 /\ -5+arg2P4 > 0 /\ -9+arg2P4 <= 0), cost: 22-2*arg2P4-n0*(-10+arg2P4) Applied chaining First rule: __init -> f51_0_increase_GE : arg1'=arg2P4, arg3'=arg3P0, arg2'=arg2P0, (arg1P4 > 0 /\ 1+arg2P4 > 0), cost: 2 Second rule: f51_0_increase_GE -> f51_0_increase_GE : arg1'=6-n0, arg3'=arg3P2, arg2'=arg2P2, (5+n0 > 0 /\ 5-arg1-n0 >= 0 /\ -5+arg1 > 0), cost: 12-2*arg1-2*n0-n0*(-6+arg1+n0) New rule: __init -> f51_0_increase_GE : arg1'=6-n0, arg3'=arg3P2, arg2'=arg2P2, (5+n0 > 0 /\ -5+arg2P4 > 0 /\ 5-n0-arg2P4 >= 0), cost: 14-2*n0-n0*(-6+n0+arg2P4)-2*arg2P4 Applied deletion Removed the following rules: 19 20 21 Chained accelerated rules with incoming rules Start location: __init 11: f51_0_increase_GE -> [4] : (10-arg1 > 0 /\ -5+arg1 > 0), cost: NONTERM 13: __init -> f51_0_increase_GE : arg1'=arg2P4, arg3'=arg3P0, arg2'=arg2P0, (arg1P4 > 0 /\ 1+arg2P4 > 0), cost: 2 22: __init -> f51_0_increase_GE : arg1'=6, arg3'=arg3P2, arg2'=arg2P2, (-5+arg2P4 <= 0 /\ 1+arg2P4 > 0), cost: 14-2*arg2P4 23: __init -> f51_0_increase_GE : arg1'=10, arg3'=arg3P2, arg2'=arg2P2, (-3-n0 > 0 /\ -5+arg2P4 > 0 /\ -9+arg2P4 <= 0), cost: 22-2*arg2P4-n0*(-10+arg2P4) 24: __init -> f51_0_increase_GE : arg1'=6-n0, arg3'=arg3P2, arg2'=arg2P2, (5+n0 > 0 /\ -5+arg2P4 > 0 /\ 5-n0-arg2P4 >= 0), cost: 14-2*n0-n0*(-6+n0+arg2P4)-2*arg2P4 Eliminating location f51_0_increase_GE by chaining: Applied chaining First rule: __init -> f51_0_increase_GE : arg1'=arg2P4, arg3'=arg3P0, arg2'=arg2P0, (arg1P4 > 0 /\ 1+arg2P4 > 0), cost: 2 Second rule: f51_0_increase_GE -> [4] : (10-arg1 > 0 /\ -5+arg1 > 0), cost: NONTERM New rule: __init -> [4] : (arg1P4 > 0 /\ -5+arg2P4 > 0 /\ 10-arg2P4 > 0 /\ 1+arg2P4 > 0), cost: NONTERM Applied simplification Original rule: __init -> [4] : (arg1P4 > 0 /\ -5+arg2P4 > 0 /\ 10-arg2P4 > 0 /\ 1+arg2P4 > 0), cost: NONTERM New rule: __init -> [4] : (arg1P4 > 0 /\ -5+arg2P4 > 0 /\ 10-arg2P4 > 0), cost: NONTERM Applied chaining First rule: __init -> f51_0_increase_GE : arg1'=6, arg3'=arg3P2, arg2'=arg2P2, (-5+arg2P4 <= 0 /\ 1+arg2P4 > 0), cost: 14-2*arg2P4 Second rule: f51_0_increase_GE -> [4] : (10-arg1 > 0 /\ -5+arg1 > 0), cost: NONTERM New rule: __init -> [4] : (1 > 0 /\ -5+arg2P4 <= 0 /\ 4 > 0 /\ 1+arg2P4 > 0), cost: NONTERM Applied simplification Original rule: __init -> [4] : (1 > 0 /\ -5+arg2P4 <= 0 /\ 4 > 0 /\ 1+arg2P4 > 0), cost: NONTERM New rule: __init -> [4] : (-5+arg2P4 <= 0 /\ 1+arg2P4 > 0), cost: NONTERM Applied chaining First rule: __init -> f51_0_increase_GE : arg1'=6-n0, arg3'=arg3P2, arg2'=arg2P2, (5+n0 > 0 /\ -5+arg2P4 > 0 /\ 5-n0-arg2P4 >= 0), cost: 14-2*n0-n0*(-6+n0+arg2P4)-2*arg2P4 Second rule: f51_0_increase_GE -> [4] : (10-arg1 > 0 /\ -5+arg1 > 0), cost: NONTERM New rule: __init -> [4] : (5+n0 > 0 /\ 4+n0 > 0 /\ 1-n0 > 0 /\ -5+arg2P4 > 0 /\ 5-n0-arg2P4 >= 0), cost: NONTERM Applied simplification Original rule: __init -> [4] : (5+n0 > 0 /\ 4+n0 > 0 /\ 1-n0 > 0 /\ -5+arg2P4 > 0 /\ 5-n0-arg2P4 >= 0), cost: NONTERM New rule: __init -> [4] : (4+n0 > 0 /\ -5+arg2P4 > 0 /\ 5-n0-arg2P4 >= 0), cost: NONTERM Applied partial deletion Original rule: __init -> f51_0_increase_GE : arg1'=10, arg3'=arg3P2, arg2'=arg2P2, (-3-n0 > 0 /\ -5+arg2P4 > 0 /\ -9+arg2P4 <= 0), cost: 22-2*arg2P4-n0*(-10+arg2P4) New rule: __init -> [6] : (-3-n0 > 0 /\ -5+arg2P4 > 0 /\ -9+arg2P4 <= 0), cost: 22-2*arg2P4-n0*(-10+arg2P4) Applied deletion Removed the following rules: 11 13 22 23 24 Eliminated locations on tree-shaped paths Start location: __init 25: __init -> [4] : (arg1P4 > 0 /\ -5+arg2P4 > 0 /\ 10-arg2P4 > 0), cost: NONTERM 26: __init -> [4] : (-5+arg2P4 <= 0 /\ 1+arg2P4 > 0), cost: NONTERM 27: __init -> [4] : (4+n0 > 0 /\ -5+arg2P4 > 0 /\ 5-n0-arg2P4 >= 0), cost: NONTERM 28: __init -> [6] : (-3-n0 > 0 /\ -5+arg2P4 > 0 /\ -9+arg2P4 <= 0), cost: 22-2*arg2P4-n0*(-10+arg2P4) Computing asymptotic complexity Proved nontermination of rule 25 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (arg1P4 > 0 /\ -5+arg2P4 > 0 /\ 10-arg2P4 > 0)