NO Initial ITS Start location: __init 0: f1_0_main_Load -> f49_0_loop_LE : arg2'=arg2P0, arg1'=arg1P0, (1+arg2 > 0 /\ arg1 > 0 /\ arg2-arg1P0 == 0), cost: 1 1: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P1, arg1'=arg1P1, (5-arg1 == 0 /\ 5-arg1P1 == 0), cost: 1 2: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, arg1'=arg1P2, (-1+arg1-arg1P2 == 0 /\ -5+arg1 < 0 /\ arg1 > 0), cost: 1 3: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P3, arg1'=arg1P3, (-1-arg1P3+arg1 == 0 /\ -5+arg1 > 0), cost: 1 4: __init -> f1_0_main_Load : arg2'=arg2P4, arg1'=arg1P4, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f49_0_loop_LE : arg2'=arg2P0, arg1'=arg1P0, (1+arg2 > 0 /\ arg1 > 0 /\ arg2-arg1P0 == 0), cost: 1 New rule: f1_0_main_Load -> f49_0_loop_LE : arg2'=arg2P0, arg1'=arg2, (1+arg2 > 0 /\ arg1 > 0), cost: 1 Applied preprocessing Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P1, arg1'=arg1P1, (5-arg1 == 0 /\ 5-arg1P1 == 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P1, arg1'=5, -5+arg1 == 0, cost: 1 Applied preprocessing Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, arg1'=arg1P2, (-1+arg1-arg1P2 == 0 /\ -5+arg1 < 0 /\ arg1 > 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, arg1'=-1+arg1, (5-arg1 > 0 /\ arg1 > 0), cost: 1 Applied preprocessing Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P3, arg1'=arg1P3, (-1-arg1P3+arg1 == 0 /\ -5+arg1 > 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P3, arg1'=-1+arg1, -5+arg1 > 0, cost: 1 Simplified rules Start location: __init 5: f1_0_main_Load -> f49_0_loop_LE : arg2'=arg2P0, arg1'=arg2, (1+arg2 > 0 /\ arg1 > 0), cost: 1 6: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P1, arg1'=5, -5+arg1 == 0, cost: 1 7: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, arg1'=-1+arg1, (5-arg1 > 0 /\ arg1 > 0), cost: 1 8: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P3, arg1'=-1+arg1, -5+arg1 > 0, cost: 1 4: __init -> f1_0_main_Load : arg2'=arg2P4, arg1'=arg1P4, TRUE, cost: 1 Applied nonterm Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P1, arg1'=5, -5+arg1 == 0, cost: 1 New rule: f49_0_loop_LE -> [3] : (-5+arg1 >= 0 /\ 5-arg1 >= 0 /\ -1+n >= 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_LMGAlG.txt Applied acceleration Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, arg1'=-1+arg1, (5-arg1 > 0 /\ arg1 > 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, arg1'=-n0+arg1, (-1+n0 >= 0 /\ 1-n0+arg1 > 0 /\ 5-arg1 > 0), cost: n0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_CoIMAj.txt Applied instantiation Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, arg1'=-n0+arg1, (-1+n0 >= 0 /\ 1-n0+arg1 > 0 /\ 5-arg1 > 0), cost: n0 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, arg1'=0, (1 > 0 /\ 5-arg1 > 0 /\ -1+arg1 >= 0), cost: arg1 Applied acceleration Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P3, arg1'=-1+arg1, -5+arg1 > 0, cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P3, arg1'=arg1-n1, (-4+arg1-n1 > 0 /\ -1+n1 >= 0), cost: n1 Sub-proof via acceration calculus written to file:///tmp/tmpnam_CMpMFe.txt Applied instantiation Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P3, arg1'=arg1-n1, (-4+arg1-n1 > 0 /\ -1+n1 >= 0), cost: n1 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P3, arg1'=5, (1 > 0 /\ -6+arg1 >= 0), cost: -5+arg1 Applied simplification Original rule: f49_0_loop_LE -> [3] : (-5+arg1 >= 0 /\ 5-arg1 >= 0 /\ -1+n >= 0), cost: NONTERM New rule: f49_0_loop_LE -> [3] : (-5+arg1 <= 0 /\ -5+arg1 >= 0 /\ -1+n >= 0), cost: NONTERM Applied simplification Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, arg1'=0, (1 > 0 /\ 5-arg1 > 0 /\ -1+arg1 >= 0), cost: arg1 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, arg1'=0, (5-arg1 > 0 /\ -1+arg1 >= 0), cost: arg1 Applied simplification Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P3, arg1'=5, (1 > 0 /\ -6+arg1 >= 0), cost: -5+arg1 New rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P3, arg1'=5, -6+arg1 >= 0, cost: -5+arg1 Applied deletion Removed the following rules: 6 7 8 Accelerated simple loops Start location: __init 5: f1_0_main_Load -> f49_0_loop_LE : arg2'=arg2P0, arg1'=arg2, (1+arg2 > 0 /\ arg1 > 0), cost: 1 12: f49_0_loop_LE -> [3] : (-5+arg1 <= 0 /\ -5+arg1 >= 0 /\ -1+n >= 0), cost: NONTERM 13: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, arg1'=0, (5-arg1 > 0 /\ -1+arg1 >= 0), cost: arg1 14: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P3, arg1'=5, -6+arg1 >= 0, cost: -5+arg1 4: __init -> f1_0_main_Load : arg2'=arg2P4, arg1'=arg1P4, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f49_0_loop_LE : arg2'=arg2P0, arg1'=arg2, (1+arg2 > 0 /\ arg1 > 0), cost: 1 Second rule: f49_0_loop_LE -> [3] : (-5+arg1 <= 0 /\ -5+arg1 >= 0 /\ -1+n >= 0), cost: NONTERM New rule: f1_0_main_Load -> [3] : (-5+arg2 == 0 /\ arg1 > 0), cost: NONTERM Applied chaining First rule: f1_0_main_Load -> f49_0_loop_LE : arg2'=arg2P0, arg1'=arg2, (1+arg2 > 0 /\ arg1 > 0), cost: 1 Second rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P2, arg1'=0, (5-arg1 > 0 /\ -1+arg1 >= 0), cost: arg1 New rule: f1_0_main_Load -> f49_0_loop_LE : arg2'=arg2P2, arg1'=0, (5-arg2 > 0 /\ arg1 > 0 /\ -1+arg2 >= 0), cost: 1+arg2 Applied chaining First rule: f1_0_main_Load -> f49_0_loop_LE : arg2'=arg2P0, arg1'=arg2, (1+arg2 > 0 /\ arg1 > 0), cost: 1 Second rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2P3, arg1'=5, -6+arg1 >= 0, cost: -5+arg1 New rule: f1_0_main_Load -> f49_0_loop_LE : arg2'=arg2P3, arg1'=5, (-6+arg2 >= 0 /\ arg1 > 0), cost: -4+arg2 Applied deletion Removed the following rules: 12 13 14 Chained accelerated rules with incoming rules Start location: __init 5: f1_0_main_Load -> f49_0_loop_LE : arg2'=arg2P0, arg1'=arg2, (1+arg2 > 0 /\ arg1 > 0), cost: 1 15: f1_0_main_Load -> [3] : (-5+arg2 == 0 /\ arg1 > 0), cost: NONTERM 16: f1_0_main_Load -> f49_0_loop_LE : arg2'=arg2P2, arg1'=0, (5-arg2 > 0 /\ arg1 > 0 /\ -1+arg2 >= 0), cost: 1+arg2 17: f1_0_main_Load -> f49_0_loop_LE : arg2'=arg2P3, arg1'=5, (-6+arg2 >= 0 /\ arg1 > 0), cost: -4+arg2 4: __init -> f1_0_main_Load : arg2'=arg2P4, arg1'=arg1P4, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 15: f1_0_main_Load -> [3] : (-5+arg2 == 0 /\ arg1 > 0), cost: NONTERM 4: __init -> f1_0_main_Load : arg2'=arg2P4, arg1'=arg1P4, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg2'=arg2P4, arg1'=arg1P4, TRUE, cost: 1 Second rule: f1_0_main_Load -> [3] : (-5+arg2 == 0 /\ arg1 > 0), cost: NONTERM New rule: __init -> [3] : (-5+arg2P4 == 0 /\ arg1P4 > 0), cost: NONTERM Applied deletion Removed the following rules: 4 15 Eliminated locations on linear paths Start location: __init 18: __init -> [3] : (-5+arg2P4 == 0 /\ arg1P4 > 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 18 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (-5+arg2P4 == 0 /\ arg1P4 > 0)