NO Initial ITS Start location: __init 0: f1_0_main_Load -> f1_0_main_Load\' : arg2'=arg2P0, arg1'=arg1P0, (arg2-arg2P0 == 0 /\ -arg1P0+arg1 == 0 /\ arg1 > 0 /\ 1+x120 > 0 /\ -1+arg2 > 0 /\ -1-2*x140+x130 == 0 /\ 1+x130 > 0), cost: 1 3: f1_0_main_Load -> f1_0_main_Load\' : arg2'=arg2P3, arg1'=arg1P3, (arg2-arg2P3 == 0 /\ arg1-arg1P3 == 0 /\ arg1 > 0 /\ -2*x240+x230 == 0 /\ 1+x220 > 0 /\ -1+arg2 > 0 /\ 1+x230 > 0), cost: 1 1: f1_0_main_Load\' -> f122_0_even_EQ : arg2'=arg2P1, arg1'=arg1P1, (-2-2*x190+x180 < 0 /\ -2*x190+x180 >= 0 /\ 1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 1+x180 > 0 /\ -1-2*x190+x180 == 0), cost: 1 4: f1_0_main_Load\' -> f146_0_even_EQ : arg2'=arg2P4, arg1'=arg1P4, (1+x280 > 0 /\ x280-2*x290 >= 0 /\ x280-2*x290 == 0 /\ -2+x280-2*x290 < 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 1+x270 > 0 /\ -arg1P4-x270 == 0), cost: 1 2: f122_0_even_EQ -> f146_0_even_EQ : arg2'=arg2P2, arg1'=arg1P2, (-arg1P2 == 0 /\ -arg1 == 0), cost: 1 5: f122_0_even_EQ -> f122_0_even_EQ : arg2'=arg2P5, arg1'=arg1P5, (-1+arg1 > 0 /\ -2+arg1-arg1P5 == 0), cost: 1 6: f146_0_even_EQ -> f146_0_even_EQ : arg2'=arg2P6, arg1'=arg1P6, (-3+arg1 < 0 /\ arg1 < 0 /\ -2-arg1P6+arg1 == 0), cost: 1 7: __init -> f1_0_main_Load : arg2'=arg2P7, arg1'=arg1P7, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f1_0_main_Load\' : arg2'=arg2P0, arg1'=arg1P0, (arg2-arg2P0 == 0 /\ -arg1P0+arg1 == 0 /\ arg1 > 0 /\ 1+x120 > 0 /\ -1+arg2 > 0 /\ -1-2*x140+x130 == 0 /\ 1+x130 > 0), cost: 1 New rule: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ -1+arg2 > 0 /\ 2+2*x140 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load\' -> f122_0_even_EQ : arg2'=arg2P1, arg1'=arg1P1, (-2-2*x190+x180 < 0 /\ -2*x190+x180 >= 0 /\ 1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 1+x180 > 0 /\ -1-2*x190+x180 == 0), cost: 1 New rule: f1_0_main_Load\' -> f122_0_even_EQ : arg2'=arg2P1, arg1'=arg1P1, (1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 2+2*x190 > 0), cost: 1 Applied preprocessing Original rule: f122_0_even_EQ -> f146_0_even_EQ : arg2'=arg2P2, arg1'=arg1P2, (-arg1P2 == 0 /\ -arg1 == 0), cost: 1 New rule: f122_0_even_EQ -> f146_0_even_EQ : arg2'=arg2P2, arg1'=0, arg1 == 0, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f1_0_main_Load\' : arg2'=arg2P3, arg1'=arg1P3, (arg2-arg2P3 == 0 /\ arg1-arg1P3 == 0 /\ arg1 > 0 /\ -2*x240+x230 == 0 /\ 1+x220 > 0 /\ -1+arg2 > 0 /\ 1+x230 > 0), cost: 1 New rule: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ -1+arg2 > 0 /\ 1+2*x240 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load\' -> f146_0_even_EQ : arg2'=arg2P4, arg1'=arg1P4, (1+x280 > 0 /\ x280-2*x290 >= 0 /\ x280-2*x290 == 0 /\ -2+x280-2*x290 < 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 1+x270 > 0 /\ -arg1P4-x270 == 0), cost: 1 New rule: f1_0_main_Load\' -> f146_0_even_EQ : arg2'=arg2P4, arg1'=-x270, (1+2*x290 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 1+x270 > 0), cost: 1 Applied preprocessing Original rule: f122_0_even_EQ -> f122_0_even_EQ : arg2'=arg2P5, arg1'=arg1P5, (-1+arg1 > 0 /\ -2+arg1-arg1P5 == 0), cost: 1 New rule: f122_0_even_EQ -> f122_0_even_EQ : arg2'=arg2P5, arg1'=-2+arg1, -1+arg1 > 0, cost: 1 Applied preprocessing Original rule: f146_0_even_EQ -> f146_0_even_EQ : arg2'=arg2P6, arg1'=arg1P6, (-3+arg1 < 0 /\ arg1 < 0 /\ -2-arg1P6+arg1 == 0), cost: 1 New rule: f146_0_even_EQ -> f146_0_even_EQ : arg2'=arg2P6, arg1'=-2+arg1, -arg1 > 0, cost: 1 Simplified rules Start location: __init 8: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ -1+arg2 > 0 /\ 2+2*x140 > 0), cost: 1 11: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ -1+arg2 > 0 /\ 1+2*x240 > 0), cost: 1 9: f1_0_main_Load\' -> f122_0_even_EQ : arg2'=arg2P1, arg1'=arg1P1, (1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 2+2*x190 > 0), cost: 1 12: f1_0_main_Load\' -> f146_0_even_EQ : arg2'=arg2P4, arg1'=-x270, (1+2*x290 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 1+x270 > 0), cost: 1 10: f122_0_even_EQ -> f146_0_even_EQ : arg2'=arg2P2, arg1'=0, arg1 == 0, cost: 1 13: f122_0_even_EQ -> f122_0_even_EQ : arg2'=arg2P5, arg1'=-2+arg1, -1+arg1 > 0, cost: 1 14: f146_0_even_EQ -> f146_0_even_EQ : arg2'=arg2P6, arg1'=-2+arg1, -arg1 > 0, cost: 1 7: __init -> f1_0_main_Load : arg2'=arg2P7, arg1'=arg1P7, TRUE, cost: 1 Applied acceleration Original rule: f122_0_even_EQ -> f122_0_even_EQ : arg2'=arg2P5, arg1'=-2+arg1, -1+arg1 > 0, cost: 1 New rule: f122_0_even_EQ -> f122_0_even_EQ : arg2'=arg2P5, arg1'=-2*n+arg1, (1-2*n+arg1 > 0 /\ -1+n >= 0), cost: n Sub-proof via acceration calculus written to file:///tmp/tmpnam_Hceiod.txt Applied deletion Removed the following rules: 13 Applied nonterm Original rule: f146_0_even_EQ -> f146_0_even_EQ : arg2'=arg2P6, arg1'=-2+arg1, -arg1 > 0, cost: 1 New rule: f146_0_even_EQ -> [6] : (-arg1 > 0 /\ -1+n0 >= 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_bFjmLn.txt Applied deletion Removed the following rules: 14 Accelerated simple loops Start location: __init 8: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ -1+arg2 > 0 /\ 2+2*x140 > 0), cost: 1 11: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ -1+arg2 > 0 /\ 1+2*x240 > 0), cost: 1 9: f1_0_main_Load\' -> f122_0_even_EQ : arg2'=arg2P1, arg1'=arg1P1, (1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 2+2*x190 > 0), cost: 1 12: f1_0_main_Load\' -> f146_0_even_EQ : arg2'=arg2P4, arg1'=-x270, (1+2*x290 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 1+x270 > 0), cost: 1 10: f122_0_even_EQ -> f146_0_even_EQ : arg2'=arg2P2, arg1'=0, arg1 == 0, cost: 1 15: f122_0_even_EQ -> f122_0_even_EQ : arg2'=arg2P5, arg1'=-2*n+arg1, (1-2*n+arg1 > 0 /\ -1+n >= 0), cost: n 16: f146_0_even_EQ -> [6] : (-arg1 > 0 /\ -1+n0 >= 0), cost: NONTERM 7: __init -> f1_0_main_Load : arg2'=arg2P7, arg1'=arg1P7, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load\' -> f122_0_even_EQ : arg2'=arg2P1, arg1'=arg1P1, (1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 2+2*x190 > 0), cost: 1 Second rule: f122_0_even_EQ -> f122_0_even_EQ : arg2'=arg2P5, arg1'=-2*n+arg1, (1-2*n+arg1 > 0 /\ -1+n >= 0), cost: n New rule: f1_0_main_Load\' -> f122_0_even_EQ : arg2'=arg2P5, arg1'=-2*n+arg1P1, (-1+n >= 0 /\ 1-2*n+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 2+2*x190 > 0), cost: 1+n Applied deletion Removed the following rules: 15 Applied chaining First rule: f1_0_main_Load\' -> f146_0_even_EQ : arg2'=arg2P4, arg1'=-x270, (1+2*x290 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 1+x270 > 0), cost: 1 Second rule: f146_0_even_EQ -> [6] : (-arg1 > 0 /\ -1+n0 >= 0), cost: NONTERM New rule: f1_0_main_Load\' -> [6] : (1+2*x290 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: NONTERM Applied deletion Removed the following rules: 16 Chained accelerated rules with incoming rules Start location: __init 8: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ -1+arg2 > 0 /\ 2+2*x140 > 0), cost: 1 11: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ -1+arg2 > 0 /\ 1+2*x240 > 0), cost: 1 9: f1_0_main_Load\' -> f122_0_even_EQ : arg2'=arg2P1, arg1'=arg1P1, (1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 2+2*x190 > 0), cost: 1 12: f1_0_main_Load\' -> f146_0_even_EQ : arg2'=arg2P4, arg1'=-x270, (1+2*x290 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 1+x270 > 0), cost: 1 17: f1_0_main_Load\' -> f122_0_even_EQ : arg2'=arg2P5, arg1'=-2*n+arg1P1, (-1+n >= 0 /\ 1-2*n+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0 /\ 2+2*x190 > 0), cost: 1+n 18: f1_0_main_Load\' -> [6] : (1+2*x290 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: NONTERM 10: f122_0_even_EQ -> f146_0_even_EQ : arg2'=arg2P2, arg1'=0, arg1 == 0, cost: 1 7: __init -> f1_0_main_Load : arg2'=arg2P7, arg1'=arg1P7, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 8: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ -1+arg2 > 0 /\ 2+2*x140 > 0), cost: 1 11: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ -1+arg2 > 0 /\ 1+2*x240 > 0), cost: 1 18: f1_0_main_Load\' -> [6] : (1+2*x290 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: NONTERM 7: __init -> f1_0_main_Load : arg2'=arg2P7, arg1'=arg1P7, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg2'=arg2P7, arg1'=arg1P7, TRUE, cost: 1 Second rule: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ -1+arg2 > 0 /\ 2+2*x140 > 0), cost: 1 New rule: __init -> f1_0_main_Load\' : arg2'=arg2P7, arg1'=arg1P7, (-1+arg2P7 > 0 /\ 2+2*x140 > 0 /\ arg1P7 > 0), cost: 2 Applied chaining First rule: __init -> f1_0_main_Load : arg2'=arg2P7, arg1'=arg1P7, TRUE, cost: 1 Second rule: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ -1+arg2 > 0 /\ 1+2*x240 > 0), cost: 1 New rule: __init -> f1_0_main_Load\' : arg2'=arg2P7, arg1'=arg1P7, (-1+arg2P7 > 0 /\ 1+2*x240 > 0 /\ arg1P7 > 0), cost: 2 Applied deletion Removed the following rules: 7 8 11 Eliminated locations on tree-shaped paths Start location: __init 18: f1_0_main_Load\' -> [6] : (1+2*x290 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: NONTERM 19: __init -> f1_0_main_Load\' : arg2'=arg2P7, arg1'=arg1P7, (-1+arg2P7 > 0 /\ 2+2*x140 > 0 /\ arg1P7 > 0), cost: 2 20: __init -> f1_0_main_Load\' : arg2'=arg2P7, arg1'=arg1P7, (-1+arg2P7 > 0 /\ 1+2*x240 > 0 /\ arg1P7 > 0), cost: 2 Eliminating location f1_0_main_Load\' by chaining: Applied chaining First rule: __init -> f1_0_main_Load\' : arg2'=arg2P7, arg1'=arg1P7, (-1+arg2P7 > 0 /\ 2+2*x140 > 0 /\ arg1P7 > 0), cost: 2 Second rule: f1_0_main_Load\' -> [6] : (1+2*x290 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: NONTERM New rule: __init -> [6] : (1+2*x290 > 0 /\ -1+arg2P7 > 0 /\ 2+2*x140 > 0 /\ arg1P7 > 0), cost: NONTERM Applied chaining First rule: __init -> f1_0_main_Load\' : arg2'=arg2P7, arg1'=arg1P7, (-1+arg2P7 > 0 /\ 1+2*x240 > 0 /\ arg1P7 > 0), cost: 2 Second rule: f1_0_main_Load\' -> [6] : (1+2*x290 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: NONTERM New rule: __init -> [6] : (1+2*x290 > 0 /\ -1+arg2P7 > 0 /\ 1+2*x240 > 0 /\ arg1P7 > 0), cost: NONTERM Applied deletion Removed the following rules: 18 19 20 Eliminated locations on tree-shaped paths Start location: __init 21: __init -> [6] : (1+2*x290 > 0 /\ -1+arg2P7 > 0 /\ 2+2*x140 > 0 /\ arg1P7 > 0), cost: NONTERM 22: __init -> [6] : (1+2*x290 > 0 /\ -1+arg2P7 > 0 /\ 1+2*x240 > 0 /\ arg1P7 > 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 21 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (1+2*x290 > 0 /\ -1+arg2P7 > 0 /\ 2+2*x140 > 0 /\ arg1P7 > 0)