WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f293_0_loop_LT : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg3'=arg3P0, (-arg4P0 == 0 /\ -arg1P0 == 0 /\ -arg5P0 == 0 /\ -arg2 == 0 /\ arg1 > 0 /\ -arg2P0 == 0 /\ -arg3P0 == 0), cost: 1 1: f1_0_main_Load -> f293_0_loop_LT : arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, arg1'=arg1P1, arg3'=arg3P1, (1-arg5P1 == 0 /\ 1+arg1P1 > 0 /\ arg1 > 0 /\ 1-arg2 == 0 /\ -arg2P1 == 0 /\ -arg3P1 == 0 /\ 1-arg4P1 == 0), cost: 1 2: f1_0_main_Load -> f293_0_loop_LT : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg3'=arg3P2, (1+arg3P2 > 0 /\ 2-arg5P2 == 0 /\ 2-arg4P2 == 0 /\ arg1 > 0 /\ -arg2P2 == 0 /\ 1+arg1P2 > 0 /\ 2-arg2 == 0), cost: 1 3: f1_0_main_Load -> f293_0_loop_LT : arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg3P3, (1+arg2P3 > 0 /\ 1+arg1P3 > 0 /\ -2+arg2 > 0 /\ 3-arg5P3 == 0 /\ arg1 > 0 /\ 1+x100 > 0 /\ x100-arg3P3-arg2P3 == 0 /\ arg2-arg4P3 == 0), cost: 1 4: f293_0_loop_LT -> f293_0_loop_LT : arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, arg1'=arg1P4, arg3'=arg3P4, (arg4-arg4P4 == 0 /\ arg5-arg5P4 == 0 /\ 1 > 0 /\ 1+arg1 > 0 /\ 1+arg1-arg1P4 == 0 /\ -arg2+arg1 == 0 /\ arg5-arg4 >= 0 /\ 9-arg3P4-arg1 == 0 /\ arg3 > 0 /\ 1-arg2P4+arg1 == 0 /\ 1+arg4 > 0), cost: 1 5: f293_0_loop_LT -> f293_0_loop_LT : arg5'=arg5P5, arg2'=arg2P5, arg4'=arg4P5, arg1'=arg1P5, arg3'=arg3P5, (arg1+x190 >= 0 /\ 9-arg1-arg3P5-x190 == 0 /\ 1-arg1P5+arg1+x190 == 0 /\ 1+arg1 > 0 /\ -arg4P5+arg4 == 0 /\ 1+arg5 > 0 /\ 1+x190 > 0 /\ -arg2+arg1 == 0 /\ arg5-arg4 < 0 /\ 1+arg5-arg5P5 == 0 /\ 1-arg2P5+arg1+x190 == 0 /\ arg3 > 0 /\ 1+arg4 > 0), cost: 1 6: __init -> f1_0_main_Load : arg5'=arg5P6, arg2'=arg2P6, arg4'=arg4P6, arg1'=arg1P6, arg3'=arg3P6, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg3'=arg3P0, (-arg4P0 == 0 /\ -arg1P0 == 0 /\ -arg5P0 == 0 /\ -arg2 == 0 /\ arg1 > 0 /\ -arg2P0 == 0 /\ -arg3P0 == 0), cost: 1 New rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=0, arg2'=0, arg4'=0, arg1'=0, arg3'=0, (arg2 == 0 /\ arg1 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, arg1'=arg1P1, arg3'=arg3P1, (1-arg5P1 == 0 /\ 1+arg1P1 > 0 /\ arg1 > 0 /\ 1-arg2 == 0 /\ -arg2P1 == 0 /\ -arg3P1 == 0 /\ 1-arg4P1 == 0), cost: 1 New rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=1, arg2'=0, arg4'=1, arg1'=arg1P1, arg3'=0, (1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 == 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg3'=arg3P2, (1+arg3P2 > 0 /\ 2-arg5P2 == 0 /\ 2-arg4P2 == 0 /\ arg1 > 0 /\ -arg2P2 == 0 /\ 1+arg1P2 > 0 /\ 2-arg2 == 0), cost: 1 New rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=2, arg2'=0, arg4'=2, arg1'=arg1P2, arg3'=arg3P2, (1+arg3P2 > 0 /\ -2+arg2 == 0 /\ arg1 > 0 /\ 1+arg1P2 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, arg1'=arg1P3, arg3'=arg3P3, (1+arg2P3 > 0 /\ 1+arg1P3 > 0 /\ -2+arg2 > 0 /\ 3-arg5P3 == 0 /\ arg1 > 0 /\ 1+x100 > 0 /\ x100-arg3P3-arg2P3 == 0 /\ arg2-arg4P3 == 0), cost: 1 New rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=3, arg2'=arg2P3, arg4'=arg2, arg1'=arg1P3, arg3'=x100-arg2P3, (1+arg2P3 > 0 /\ 1+arg1P3 > 0 /\ -2+arg2 > 0 /\ arg1 > 0 /\ 1+x100 > 0), cost: 1 Applied preprocessing Original rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, arg1'=arg1P4, arg3'=arg3P4, (arg4-arg4P4 == 0 /\ arg5-arg5P4 == 0 /\ 1 > 0 /\ 1+arg1 > 0 /\ 1+arg1-arg1P4 == 0 /\ -arg2+arg1 == 0 /\ arg5-arg4 >= 0 /\ 9-arg3P4-arg1 == 0 /\ arg3 > 0 /\ 1-arg2P4+arg1 == 0 /\ 1+arg4 > 0), cost: 1 New rule: f293_0_loop_LT -> f293_0_loop_LT : arg2'=1+arg1, arg1'=1+arg1, arg3'=9-arg1, (1+arg1 > 0 /\ -arg2+arg1 == 0 /\ arg5-arg4 >= 0 /\ arg3 > 0 /\ 1+arg4 > 0), cost: 1 Applied preprocessing Original rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=arg5P5, arg2'=arg2P5, arg4'=arg4P5, arg1'=arg1P5, arg3'=arg3P5, (arg1+x190 >= 0 /\ 9-arg1-arg3P5-x190 == 0 /\ 1-arg1P5+arg1+x190 == 0 /\ 1+arg1 > 0 /\ -arg4P5+arg4 == 0 /\ 1+arg5 > 0 /\ 1+x190 > 0 /\ -arg2+arg1 == 0 /\ arg5-arg4 < 0 /\ 1+arg5-arg5P5 == 0 /\ 1-arg2P5+arg1+x190 == 0 /\ arg3 > 0 /\ 1+arg4 > 0), cost: 1 New rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=1+arg5, arg2'=1+arg1+x190, arg1'=1+arg1+x190, arg3'=9-arg1-x190, (1+arg1 > 0 /\ 1+arg5 > 0 /\ -arg5+arg4 > 0 /\ 1+x190 > 0 /\ -arg2+arg1 == 0 /\ arg3 > 0), cost: 1 Simplified rules Start location: __init 7: f1_0_main_Load -> f293_0_loop_LT : arg5'=0, arg2'=0, arg4'=0, arg1'=0, arg3'=0, (arg2 == 0 /\ arg1 > 0), cost: 1 8: f1_0_main_Load -> f293_0_loop_LT : arg5'=1, arg2'=0, arg4'=1, arg1'=arg1P1, arg3'=0, (1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 == 0), cost: 1 9: f1_0_main_Load -> f293_0_loop_LT : arg5'=2, arg2'=0, arg4'=2, arg1'=arg1P2, arg3'=arg3P2, (1+arg3P2 > 0 /\ -2+arg2 == 0 /\ arg1 > 0 /\ 1+arg1P2 > 0), cost: 1 10: f1_0_main_Load -> f293_0_loop_LT : arg5'=3, arg2'=arg2P3, arg4'=arg2, arg1'=arg1P3, arg3'=x100-arg2P3, (1+arg2P3 > 0 /\ 1+arg1P3 > 0 /\ -2+arg2 > 0 /\ arg1 > 0 /\ 1+x100 > 0), cost: 1 11: f293_0_loop_LT -> f293_0_loop_LT : arg2'=1+arg1, arg1'=1+arg1, arg3'=9-arg1, (1+arg1 > 0 /\ -arg2+arg1 == 0 /\ arg5-arg4 >= 0 /\ arg3 > 0 /\ 1+arg4 > 0), cost: 1 12: f293_0_loop_LT -> f293_0_loop_LT : arg5'=1+arg5, arg2'=1+arg1+x190, arg1'=1+arg1+x190, arg3'=9-arg1-x190, (1+arg1 > 0 /\ 1+arg5 > 0 /\ -arg5+arg4 > 0 /\ 1+x190 > 0 /\ -arg2+arg1 == 0 /\ arg3 > 0), cost: 1 6: __init -> f1_0_main_Load : arg5'=arg5P6, arg2'=arg2P6, arg4'=arg4P6, arg1'=arg1P6, arg3'=arg3P6, TRUE, cost: 1 Applied acceleration Original rule: f293_0_loop_LT -> f293_0_loop_LT : arg2'=1+arg1, arg1'=1+arg1, arg3'=9-arg1, (1+arg1 > 0 /\ -arg2+arg1 == 0 /\ arg5-arg4 >= 0 /\ arg3 > 0 /\ 1+arg4 > 0), cost: 1 New rule: f293_0_loop_LT -> f293_0_loop_LT : arg2'=n+arg1, arg1'=n+arg1, arg3'=10-n-arg1, (1+arg1 > 0 /\ -1+n >= 0 /\ arg2-arg1 >= 0 /\ -arg2+arg1 >= 0 /\ arg5-arg4 >= 0 /\ arg3 > 0 /\ 11-n-arg1 > 0 /\ 1+arg4 > 0), cost: n Sub-proof via acceration calculus written to file:///tmp/tmpnam_haoicM.txt Applied instantiation Original rule: f293_0_loop_LT -> f293_0_loop_LT : arg2'=n+arg1, arg1'=n+arg1, arg3'=10-n-arg1, (1+arg1 > 0 /\ -1+n >= 0 /\ arg2-arg1 >= 0 /\ -arg2+arg1 >= 0 /\ arg5-arg4 >= 0 /\ arg3 > 0 /\ 11-n-arg1 > 0 /\ 1+arg4 > 0), cost: n New rule: f293_0_loop_LT -> f293_0_loop_LT : arg2'=10, arg1'=10, arg3'=0, (1 > 0 /\ 1+arg1 > 0 /\ arg2-arg1 >= 0 /\ -arg2+arg1 >= 0 /\ arg5-arg4 >= 0 /\ 9-arg1 >= 0 /\ arg3 > 0 /\ 1+arg4 > 0), cost: 10-arg1 Applied acceleration Original rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=1+arg5, arg2'=1+arg1+x190, arg1'=1+arg1+x190, arg3'=9-arg1-x190, (1+arg1 > 0 /\ 1+arg5 > 0 /\ -arg5+arg4 > 0 /\ 1+x190 > 0 /\ -arg2+arg1 == 0 /\ arg3 > 0), cost: 1 New rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=arg5+n0, arg2'=(-1+n0)*x190+n0+arg1+x190, arg1'=n0+arg1+n0*x190, arg3'=10-(-1+n0)*x190-n0-arg1-x190, (1+arg1 > 0 /\ 1+arg5 > 0 /\ arg2-arg1 >= 0 /\ 11-n0-arg1-x190-(-2+n0)*x190 > 0 /\ 1+x190 > 0 /\ 1-arg5-n0+arg4 > 0 /\ -arg2+arg1 >= 0 /\ -1+n0 >= 0 /\ arg3 > 0), cost: n0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_icGkOo.txt Applied instantiation Original rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=arg5+n0, arg2'=(-1+n0)*x190+n0+arg1+x190, arg1'=n0+arg1+n0*x190, arg3'=10-(-1+n0)*x190-n0-arg1-x190, (1+arg1 > 0 /\ 1+arg5 > 0 /\ arg2-arg1 >= 0 /\ 11-n0-arg1-x190-(-2+n0)*x190 > 0 /\ 1+x190 > 0 /\ 1-arg5-n0+arg4 > 0 /\ -arg2+arg1 >= 0 /\ -1+n0 >= 0 /\ arg3 > 0), cost: n0 New rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=10+arg5-arg1, arg2'=10, arg1'=10, arg3'=0, (1 > 0 /\ 1+arg1 > 0 /\ 1+arg5 > 0 /\ arg2-arg1 >= 0 /\ -9-arg5+arg4+arg1 > 0 /\ -arg2+arg1 >= 0 /\ 9-arg1 >= 0 /\ arg3 > 0), cost: 10-arg1 Applied instantiation Original rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=arg5+n0, arg2'=(-1+n0)*x190+n0+arg1+x190, arg1'=n0+arg1+n0*x190, arg3'=10-(-1+n0)*x190-n0-arg1-x190, (1+arg1 > 0 /\ 1+arg5 > 0 /\ arg2-arg1 >= 0 /\ 11-n0-arg1-x190-(-2+n0)*x190 > 0 /\ 1+x190 > 0 /\ 1-arg5-n0+arg4 > 0 /\ -arg2+arg1 >= 0 /\ -1+n0 >= 0 /\ arg3 > 0), cost: n0 New rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=arg4, arg2'=-arg5+arg4+arg1, arg1'=-arg5+arg4+arg1, arg3'=10+arg5-arg4-arg1, (1 > 0 /\ 1+arg1 > 0 /\ 1+arg5 > 0 /\ arg2-arg1 >= 0 /\ 11+arg5-arg4-arg1 > 0 /\ -arg2+arg1 >= 0 /\ arg3 > 0 /\ -1-arg5+arg4 >= 0), cost: -arg5+arg4 Applied simplification Original rule: f293_0_loop_LT -> f293_0_loop_LT : arg2'=10, arg1'=10, arg3'=0, (1 > 0 /\ 1+arg1 > 0 /\ arg2-arg1 >= 0 /\ -arg2+arg1 >= 0 /\ arg5-arg4 >= 0 /\ 9-arg1 >= 0 /\ arg3 > 0 /\ 1+arg4 > 0), cost: 10-arg1 New rule: f293_0_loop_LT -> f293_0_loop_LT : arg2'=10, arg1'=10, arg3'=0, (1+arg1 > 0 /\ arg2-arg1 >= 0 /\ -arg2+arg1 >= 0 /\ arg5-arg4 >= 0 /\ 9-arg1 >= 0 /\ arg3 > 0 /\ 1+arg4 > 0), cost: 10-arg1 Applied simplification Original rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=10+arg5-arg1, arg2'=10, arg1'=10, arg3'=0, (1 > 0 /\ 1+arg1 > 0 /\ 1+arg5 > 0 /\ arg2-arg1 >= 0 /\ -9-arg5+arg4+arg1 > 0 /\ -arg2+arg1 >= 0 /\ 9-arg1 >= 0 /\ arg3 > 0), cost: 10-arg1 New rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=10+arg5-arg1, arg2'=10, arg1'=10, arg3'=0, (1+arg1 > 0 /\ 1+arg5 > 0 /\ arg2-arg1 >= 0 /\ -9-arg5+arg4+arg1 > 0 /\ -arg2+arg1 >= 0 /\ 9-arg1 >= 0 /\ arg3 > 0), cost: 10-arg1 Applied simplification Original rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=arg4, arg2'=-arg5+arg4+arg1, arg1'=-arg5+arg4+arg1, arg3'=10+arg5-arg4-arg1, (1 > 0 /\ 1+arg1 > 0 /\ 1+arg5 > 0 /\ arg2-arg1 >= 0 /\ 11+arg5-arg4-arg1 > 0 /\ -arg2+arg1 >= 0 /\ arg3 > 0 /\ -1-arg5+arg4 >= 0), cost: -arg5+arg4 New rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=arg4, arg2'=-arg5+arg4+arg1, arg1'=-arg5+arg4+arg1, arg3'=10+arg5-arg4-arg1, (1+arg1 > 0 /\ 1+arg5 > 0 /\ arg2-arg1 >= 0 /\ 11+arg5-arg4-arg1 > 0 /\ -arg2+arg1 >= 0 /\ arg3 > 0 /\ -1-arg5+arg4 >= 0), cost: -arg5+arg4 Applied deletion Removed the following rules: 11 12 Accelerated simple loops Start location: __init 7: f1_0_main_Load -> f293_0_loop_LT : arg5'=0, arg2'=0, arg4'=0, arg1'=0, arg3'=0, (arg2 == 0 /\ arg1 > 0), cost: 1 8: f1_0_main_Load -> f293_0_loop_LT : arg5'=1, arg2'=0, arg4'=1, arg1'=arg1P1, arg3'=0, (1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 == 0), cost: 1 9: f1_0_main_Load -> f293_0_loop_LT : arg5'=2, arg2'=0, arg4'=2, arg1'=arg1P2, arg3'=arg3P2, (1+arg3P2 > 0 /\ -2+arg2 == 0 /\ arg1 > 0 /\ 1+arg1P2 > 0), cost: 1 10: f1_0_main_Load -> f293_0_loop_LT : arg5'=3, arg2'=arg2P3, arg4'=arg2, arg1'=arg1P3, arg3'=x100-arg2P3, (1+arg2P3 > 0 /\ 1+arg1P3 > 0 /\ -2+arg2 > 0 /\ arg1 > 0 /\ 1+x100 > 0), cost: 1 16: f293_0_loop_LT -> f293_0_loop_LT : arg2'=10, arg1'=10, arg3'=0, (1+arg1 > 0 /\ arg2-arg1 >= 0 /\ -arg2+arg1 >= 0 /\ arg5-arg4 >= 0 /\ 9-arg1 >= 0 /\ arg3 > 0 /\ 1+arg4 > 0), cost: 10-arg1 17: f293_0_loop_LT -> f293_0_loop_LT : arg5'=10+arg5-arg1, arg2'=10, arg1'=10, arg3'=0, (1+arg1 > 0 /\ 1+arg5 > 0 /\ arg2-arg1 >= 0 /\ -9-arg5+arg4+arg1 > 0 /\ -arg2+arg1 >= 0 /\ 9-arg1 >= 0 /\ arg3 > 0), cost: 10-arg1 18: f293_0_loop_LT -> f293_0_loop_LT : arg5'=arg4, arg2'=-arg5+arg4+arg1, arg1'=-arg5+arg4+arg1, arg3'=10+arg5-arg4-arg1, (1+arg1 > 0 /\ 1+arg5 > 0 /\ arg2-arg1 >= 0 /\ 11+arg5-arg4-arg1 > 0 /\ -arg2+arg1 >= 0 /\ arg3 > 0 /\ -1-arg5+arg4 >= 0), cost: -arg5+arg4 6: __init -> f1_0_main_Load : arg5'=arg5P6, arg2'=arg2P6, arg4'=arg4P6, arg1'=arg1P6, arg3'=arg3P6, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=2, arg2'=0, arg4'=2, arg1'=arg1P2, arg3'=arg3P2, (1+arg3P2 > 0 /\ -2+arg2 == 0 /\ arg1 > 0 /\ 1+arg1P2 > 0), cost: 1 Second rule: f293_0_loop_LT -> f293_0_loop_LT : arg2'=10, arg1'=10, arg3'=0, (1+arg1 > 0 /\ arg2-arg1 >= 0 /\ -arg2+arg1 >= 0 /\ arg5-arg4 >= 0 /\ 9-arg1 >= 0 /\ arg3 > 0 /\ 1+arg4 > 0), cost: 10-arg1 New rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=2, arg2'=10, arg4'=2, arg1'=10, arg3'=0, (-2+arg2 == 0 /\ arg1 > 0), cost: 11 Applied chaining First rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=3, arg2'=arg2P3, arg4'=arg2, arg1'=arg1P3, arg3'=x100-arg2P3, (1+arg2P3 > 0 /\ 1+arg1P3 > 0 /\ -2+arg2 > 0 /\ arg1 > 0 /\ 1+x100 > 0), cost: 1 Second rule: f293_0_loop_LT -> f293_0_loop_LT : arg2'=10, arg1'=10, arg3'=0, (1+arg1 > 0 /\ arg2-arg1 >= 0 /\ -arg2+arg1 >= 0 /\ arg5-arg4 >= 0 /\ 9-arg1 >= 0 /\ arg3 > 0 /\ 1+arg4 > 0), cost: 10-arg1 New rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=3, arg2'=10, arg4'=arg2, arg1'=10, arg3'=0, (-3+arg2 == 0 /\ arg1 > 0), cost: 11-arg2P3 Applied chaining First rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=3, arg2'=arg2P3, arg4'=arg2, arg1'=arg1P3, arg3'=x100-arg2P3, (1+arg2P3 > 0 /\ 1+arg1P3 > 0 /\ -2+arg2 > 0 /\ arg1 > 0 /\ 1+x100 > 0), cost: 1 Second rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=10+arg5-arg1, arg2'=10, arg1'=10, arg3'=0, (1+arg1 > 0 /\ 1+arg5 > 0 /\ arg2-arg1 >= 0 /\ -9-arg5+arg4+arg1 > 0 /\ -arg2+arg1 >= 0 /\ 9-arg1 >= 0 /\ arg3 > 0), cost: 10-arg1 New rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=13-arg2P3, arg2'=10, arg4'=arg2, arg1'=10, arg3'=0, (1+arg2P3 > 0 /\ -9+arg2P3 <= 0 /\ -12+arg2+arg2P3 > 0 /\ arg1 > 0), cost: 11-arg2P3 Applied chaining First rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=3, arg2'=arg2P3, arg4'=arg2, arg1'=arg1P3, arg3'=x100-arg2P3, (1+arg2P3 > 0 /\ 1+arg1P3 > 0 /\ -2+arg2 > 0 /\ arg1 > 0 /\ 1+x100 > 0), cost: 1 Second rule: f293_0_loop_LT -> f293_0_loop_LT : arg5'=arg4, arg2'=-arg5+arg4+arg1, arg1'=-arg5+arg4+arg1, arg3'=10+arg5-arg4-arg1, (1+arg1 > 0 /\ 1+arg5 > 0 /\ arg2-arg1 >= 0 /\ 11+arg5-arg4-arg1 > 0 /\ -arg2+arg1 >= 0 /\ arg3 > 0 /\ -1-arg5+arg4 >= 0), cost: -arg5+arg4 New rule: f1_0_main_Load -> f293_0_loop_LT : arg5'=arg2, arg2'=-3+arg2+arg2P3, arg4'=arg2, arg1'=-3+arg2+arg2P3, arg3'=13-arg2-arg2P3, (1+arg2P3 > 0 /\ -4+arg2 >= 0 /\ 14-arg2-arg2P3 > 0 /\ arg1 > 0), cost: -2+arg2 Applied deletion Removed the following rules: 16 17 18 Chained accelerated rules with incoming rules Start location: __init 7: f1_0_main_Load -> f293_0_loop_LT : arg5'=0, arg2'=0, arg4'=0, arg1'=0, arg3'=0, (arg2 == 0 /\ arg1 > 0), cost: 1 8: f1_0_main_Load -> f293_0_loop_LT : arg5'=1, arg2'=0, arg4'=1, arg1'=arg1P1, arg3'=0, (1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 == 0), cost: 1 9: f1_0_main_Load -> f293_0_loop_LT : arg5'=2, arg2'=0, arg4'=2, arg1'=arg1P2, arg3'=arg3P2, (1+arg3P2 > 0 /\ -2+arg2 == 0 /\ arg1 > 0 /\ 1+arg1P2 > 0), cost: 1 10: f1_0_main_Load -> f293_0_loop_LT : arg5'=3, arg2'=arg2P3, arg4'=arg2, arg1'=arg1P3, arg3'=x100-arg2P3, (1+arg2P3 > 0 /\ 1+arg1P3 > 0 /\ -2+arg2 > 0 /\ arg1 > 0 /\ 1+x100 > 0), cost: 1 19: f1_0_main_Load -> f293_0_loop_LT : arg5'=2, arg2'=10, arg4'=2, arg1'=10, arg3'=0, (-2+arg2 == 0 /\ arg1 > 0), cost: 11 20: f1_0_main_Load -> f293_0_loop_LT : arg5'=3, arg2'=10, arg4'=arg2, arg1'=10, arg3'=0, (-3+arg2 == 0 /\ arg1 > 0), cost: 11-arg2P3 21: f1_0_main_Load -> f293_0_loop_LT : arg5'=13-arg2P3, arg2'=10, arg4'=arg2, arg1'=10, arg3'=0, (1+arg2P3 > 0 /\ -9+arg2P3 <= 0 /\ -12+arg2+arg2P3 > 0 /\ arg1 > 0), cost: 11-arg2P3 22: f1_0_main_Load -> f293_0_loop_LT : arg5'=arg2, arg2'=-3+arg2+arg2P3, arg4'=arg2, arg1'=-3+arg2+arg2P3, arg3'=13-arg2-arg2P3, (1+arg2P3 > 0 /\ -4+arg2 >= 0 /\ 14-arg2-arg2P3 > 0 /\ arg1 > 0), cost: -2+arg2 6: __init -> f1_0_main_Load : arg5'=arg5P6, arg2'=arg2P6, arg4'=arg4P6, arg1'=arg1P6, arg3'=arg3P6, 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