WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f1_0_main_Load\' : arg2'=arg2P0, arg1'=arg1P0, (arg2 > 0 /\ -arg1P0+arg1 == 0 /\ 1+x20 > 0 /\ arg1 > 0 /\ arg2-arg2P0 == 0), cost: 1 1: f1_0_main_Load\' -> f126_0_test_LE : arg2'=arg2P1, arg1'=arg1P1, (arg2 > 0 /\ -100*x70+x60 >= 0 /\ arg1 > 0 /\ 1+x60 > 0 /\ -100-100*x70+x60 < 0 /\ -100*x70-arg1P1+x60 == 0), cost: 1 2: f126_0_test_LE -> f126_0_test_LE : arg2'=arg2P2, arg1'=arg1P2, (arg1 > 0 /\ -1-arg1P2+arg1 == 0), cost: 1 3: __init -> f1_0_main_Load : arg2'=arg2P3, arg1'=arg1P3, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f1_0_main_Load\' : arg2'=arg2P0, arg1'=arg1P0, (arg2 > 0 /\ -arg1P0+arg1 == 0 /\ 1+x20 > 0 /\ arg1 > 0 /\ arg2-arg2P0 == 0), cost: 1 New rule: f1_0_main_Load -> f1_0_main_Load\' : (arg2 > 0 /\ arg1 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load\' -> f126_0_test_LE : arg2'=arg2P1, arg1'=arg1P1, (arg2 > 0 /\ -100*x70+x60 >= 0 /\ arg1 > 0 /\ 1+x60 > 0 /\ -100-100*x70+x60 < 0 /\ -100*x70-arg1P1+x60 == 0), cost: 1 New rule: f1_0_main_Load\' -> f126_0_test_LE : arg2'=arg2P1, arg1'=-100*x70+x60, (arg2 > 0 /\ -100*x70+x60 >= 0 /\ 100+100*x70-x60 > 0 /\ arg1 > 0 /\ 1+x60 > 0), cost: 1 Applied preprocessing Original rule: f126_0_test_LE -> f126_0_test_LE : arg2'=arg2P2, arg1'=arg1P2, (arg1 > 0 /\ -1-arg1P2+arg1 == 0), cost: 1 New rule: f126_0_test_LE -> f126_0_test_LE : arg2'=arg2P2, arg1'=-1+arg1, arg1 > 0, cost: 1 Simplified rules Start location: __init 4: f1_0_main_Load -> f1_0_main_Load\' : (arg2 > 0 /\ arg1 > 0), cost: 1 5: f1_0_main_Load\' -> f126_0_test_LE : arg2'=arg2P1, arg1'=-100*x70+x60, (arg2 > 0 /\ -100*x70+x60 >= 0 /\ 100+100*x70-x60 > 0 /\ arg1 > 0 /\ 1+x60 > 0), cost: 1 6: f126_0_test_LE -> f126_0_test_LE : arg2'=arg2P2, arg1'=-1+arg1, arg1 > 0, cost: 1 3: __init -> f1_0_main_Load : arg2'=arg2P3, arg1'=arg1P3, TRUE, cost: 1 Applied acceleration Original rule: f126_0_test_LE -> f126_0_test_LE : arg2'=arg2P2, arg1'=-1+arg1, arg1 > 0, cost: 1 New rule: f126_0_test_LE -> f126_0_test_LE : arg2'=arg2P2, arg1'=-n+arg1, (-1+n >= 0 /\ 1-n+arg1 > 0), cost: n Sub-proof via acceration calculus written to file:///tmp/tmpnam_PMCLJN.txt Applied instantiation Original rule: f126_0_test_LE -> f126_0_test_LE : arg2'=arg2P2, arg1'=-n+arg1, (-1+n >= 0 /\ 1-n+arg1 > 0), cost: n New rule: f126_0_test_LE -> f126_0_test_LE : arg2'=arg2P2, arg1'=0, (1 > 0 /\ -1+arg1 >= 0), cost: arg1 Applied simplification Original rule: f126_0_test_LE -> f126_0_test_LE : arg2'=arg2P2, arg1'=0, (1 > 0 /\ -1+arg1 >= 0), cost: arg1 New rule: f126_0_test_LE -> f126_0_test_LE : arg2'=arg2P2, arg1'=0, -1+arg1 >= 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\' : (arg2 > 0 /\ arg1 > 0), cost: 1 5: f1_0_main_Load\' -> f126_0_test_LE : arg2'=arg2P1, arg1'=-100*x70+x60, (arg2 > 0 /\ -100*x70+x60 >= 0 /\ 100+100*x70-x60 > 0 /\ arg1 > 0 /\ 1+x60 > 0), cost: 1 8: f126_0_test_LE -> f126_0_test_LE : arg2'=arg2P2, arg1'=0, -1+arg1 >= 0, cost: arg1 3: __init -> f1_0_main_Load : arg2'=arg2P3, arg1'=arg1P3, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load\' -> f126_0_test_LE : arg2'=arg2P1, arg1'=-100*x70+x60, (arg2 > 0 /\ -100*x70+x60 >= 0 /\ 100+100*x70-x60 > 0 /\ arg1 > 0 /\ 1+x60 > 0), cost: 1 Second rule: f126_0_test_LE -> f126_0_test_LE : arg2'=arg2P2, arg1'=0, -1+arg1 >= 0, cost: arg1 New rule: f1_0_main_Load\' -> f126_0_test_LE : arg2'=arg2P2, arg1'=0, (arg2 > 0 /\ 100+100*x70-x60 > 0 /\ arg1 > 0 /\ 1+x60 > 0 /\ -1-100*x70+x60 >= 0), cost: 1-100*x70+x60 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\' : (arg2 > 0 /\ arg1 > 0), cost: 1 5: f1_0_main_Load\' -> f126_0_test_LE : arg2'=arg2P1, arg1'=-100*x70+x60, (arg2 > 0 /\ -100*x70+x60 >= 0 /\ 100+100*x70-x60 > 0 /\ arg1 > 0 /\ 1+x60 > 0), cost: 1 9: f1_0_main_Load\' -> f126_0_test_LE : arg2'=arg2P2, arg1'=0, (arg2 > 0 /\ 100+100*x70-x60 > 0 /\ arg1 > 0 /\ 1+x60 > 0 /\ -1-100*x70+x60 >= 0), cost: 1-100*x70+x60 3: __init -> f1_0_main_Load : arg2'=arg2P3, arg1'=arg1P3, 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