WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+x20 > 0 /\ arg2 > 0 /\ arg1-arg1P0 == 0 /\ arg2-arg2P0 == 0), cost: 1 1: f1_0_main_Load\' -> f134_0_test_GT : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ -arg2P1+arg2 == 0 /\ 1+x70 > 0 /\ -100*x80-arg1P1+x70 == 0 /\ -100*x80+x70 >= 0 /\ arg2 > 0 /\ -100-100*x80+x70 < 0), cost: 1 2: f134_0_test_GT -> f134_0_test_GT : arg1'=arg1P2, arg2'=arg2P2, (arg1 > 0 /\ arg2-arg2P2 == 0 /\ arg2 > 0 /\ -1+arg1-arg1P2 == 0 /\ -1 < 0), cost: 1 3: __init -> f1_0_main_Load : arg1'=arg1P3, arg2'=arg2P3, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+x20 > 0 /\ arg2 > 0 /\ arg1-arg1P0 == 0 /\ arg2-arg2P0 == 0), cost: 1 New rule: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load\' -> f134_0_test_GT : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ -arg2P1+arg2 == 0 /\ 1+x70 > 0 /\ -100*x80-arg1P1+x70 == 0 /\ -100*x80+x70 >= 0 /\ arg2 > 0 /\ -100-100*x80+x70 < 0), cost: 1 New rule: f1_0_main_Load\' -> f134_0_test_GT : arg1'=-100*x80+x70, (arg1 > 0 /\ 100+100*x80-x70 > 0 /\ 1+x70 > 0 /\ -100*x80+x70 >= 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f134_0_test_GT -> f134_0_test_GT : arg1'=arg1P2, arg2'=arg2P2, (arg1 > 0 /\ arg2-arg2P2 == 0 /\ arg2 > 0 /\ -1+arg1-arg1P2 == 0 /\ -1 < 0), cost: 1 New rule: f134_0_test_GT -> f134_0_test_GT : arg1'=-1+arg1, (arg1 > 0 /\ arg2 > 0), cost: 1 Simplified rules Start location: __init 4: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ arg2 > 0), cost: 1 5: f1_0_main_Load\' -> f134_0_test_GT : arg1'=-100*x80+x70, (arg1 > 0 /\ 100+100*x80-x70 > 0 /\ 1+x70 > 0 /\ -100*x80+x70 >= 0 /\ arg2 > 0), cost: 1 6: f134_0_test_GT -> f134_0_test_GT : arg1'=-1+arg1, (arg1 > 0 /\ arg2 > 0), cost: 1 3: __init -> f1_0_main_Load : arg1'=arg1P3, arg2'=arg2P3, TRUE, cost: 1 Applied acceleration Original rule: f134_0_test_GT -> f134_0_test_GT : arg1'=-1+arg1, (arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f134_0_test_GT -> f134_0_test_GT : arg1'=arg1-n0, (1+arg1-n0 > 0 /\ n0 >= 0 /\ arg2 > 0), cost: n0 Applied instantiation Original rule: f134_0_test_GT -> f134_0_test_GT : arg1'=arg1-n0, (1+arg1-n0 > 0 /\ n0 >= 0 /\ arg2 > 0), cost: n0 New rule: f134_0_test_GT -> f134_0_test_GT : arg1'=0, (arg1 >= 0 /\ 1 > 0 /\ arg2 > 0), cost: arg1 Applied simplification Original rule: f134_0_test_GT -> f134_0_test_GT : arg1'=0, (arg1 >= 0 /\ 1 > 0 /\ arg2 > 0), cost: arg1 New rule: f134_0_test_GT -> f134_0_test_GT : arg1'=0, (arg1 >= 0 /\ arg2 > 0), cost: arg1 Applied deletion Removed the following rules: 6 Accelerated simple loops Start location: __init 4: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ arg2 > 0), cost: 1 5: f1_0_main_Load\' -> f134_0_test_GT : arg1'=-100*x80+x70, (arg1 > 0 /\ 100+100*x80-x70 > 0 /\ 1+x70 > 0 /\ -100*x80+x70 >= 0 /\ arg2 > 0), cost: 1 8: f134_0_test_GT -> f134_0_test_GT : arg1'=0, (arg1 >= 0 /\ arg2 > 0), cost: arg1 3: __init -> f1_0_main_Load : arg1'=arg1P3, arg2'=arg2P3, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load\' -> f134_0_test_GT : arg1'=-100*x80+x70, (arg1 > 0 /\ 100+100*x80-x70 > 0 /\ 1+x70 > 0 /\ -100*x80+x70 >= 0 /\ arg2 > 0), cost: 1 Second rule: f134_0_test_GT -> f134_0_test_GT : arg1'=0, (arg1 >= 0 /\ arg2 > 0), cost: arg1 New rule: f1_0_main_Load\' -> f134_0_test_GT : arg1'=0, (arg1 > 0 /\ 100+100*x80-x70 > 0 /\ 1+x70 > 0 /\ -100*x80+x70 >= 0 /\ arg2 > 0), cost: 1-100*x80+x70 Applied deletion Removed the following rules: 8 Chained accelerated rules with incoming rules Start location: __init 4: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ arg2 > 0), cost: 1 5: f1_0_main_Load\' -> f134_0_test_GT : arg1'=-100*x80+x70, (arg1 > 0 /\ 100+100*x80-x70 > 0 /\ 1+x70 > 0 /\ -100*x80+x70 >= 0 /\ arg2 > 0), cost: 1 9: f1_0_main_Load\' -> f134_0_test_GT : arg1'=0, (arg1 > 0 /\ 100+100*x80-x70 > 0 /\ 1+x70 > 0 /\ -100*x80+x70 >= 0 /\ arg2 > 0), cost: 1-100*x80+x70 3: __init -> f1_0_main_Load : arg1'=arg1P3, arg2'=arg2P3, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0