NO Initial ITS Start location: __init 0: f1_0_main_Load -> f62_0_loop_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 28 > 0 /\ 28-arg1P0+arg2 == 0 /\ 1+arg2 > 0), cost: 1 1: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=arg1P1, arg2'=arg2P1, (-arg1P1 == 0 /\ -35+arg1 > 0), cost: 1 2: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=arg1P2, arg2'=arg2P2, (arg1 > 0 /\ -31+arg1 < 0 /\ -36+arg1 < 0 /\ -1+arg1-arg1P2 == 0), cost: 1 3: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=arg1P3, arg2'=arg2P3, (-36+arg1 < 0 /\ 35-arg1P3 == 0 /\ -30+arg1 > 0), cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f62_0_loop_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 28 > 0 /\ 28-arg1P0+arg2 == 0 /\ 1+arg2 > 0), cost: 1 New rule: f1_0_main_Load -> f62_0_loop_EQ : arg1'=28+arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=arg1P1, arg2'=arg2P1, (-arg1P1 == 0 /\ -35+arg1 > 0), cost: 1 New rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=0, arg2'=arg2P1, -35+arg1 > 0, cost: 1 Applied preprocessing Original rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=arg1P2, arg2'=arg2P2, (arg1 > 0 /\ -31+arg1 < 0 /\ -36+arg1 < 0 /\ -1+arg1-arg1P2 == 0), cost: 1 New rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=-1+arg1, arg2'=arg2P2, (arg1 > 0 /\ 31-arg1 > 0), cost: 1 Applied preprocessing Original rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=arg1P3, arg2'=arg2P3, (-36+arg1 < 0 /\ 35-arg1P3 == 0 /\ -30+arg1 > 0), cost: 1 New rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=35, arg2'=arg2P3, (36-arg1 > 0 /\ -30+arg1 > 0), cost: 1 Simplified rules Start location: __init 5: f1_0_main_Load -> f62_0_loop_EQ : arg1'=28+arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 6: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=0, arg2'=arg2P1, -35+arg1 > 0, cost: 1 7: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=-1+arg1, arg2'=arg2P2, (arg1 > 0 /\ 31-arg1 > 0), cost: 1 8: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=35, arg2'=arg2P3, (36-arg1 > 0 /\ -30+arg1 > 0), cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Applied acceleration Original rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=-1+arg1, arg2'=arg2P2, (arg1 > 0 /\ 31-arg1 > 0), cost: 1 New rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=arg1-n3, arg2'=arg2P2, (1+arg1-n3 > 0 /\ -1+n3 >= 0 /\ 31-arg1 > 0), cost: n3 Applied instantiation Original rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=arg1-n3, arg2'=arg2P2, (1+arg1-n3 > 0 /\ -1+n3 >= 0 /\ 31-arg1 > 0), cost: n3 New rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=0, arg2'=arg2P2, (1 > 0 /\ -1+arg1 >= 0 /\ 31-arg1 > 0), cost: arg1 Applied nonterm Original rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=35, arg2'=arg2P3, (36-arg1 > 0 /\ -30+arg1 > 0), cost: 1 New rule: f62_0_loop_EQ -> [3] : (36-arg1 > 0 /\ -30+arg1 > 0), cost: NONTERM Applied acceleration Original rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=35, arg2'=arg2P3, (36-arg1 > 0 /\ -30+arg1 > 0), cost: 1 New rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=35, arg2'=arg2P3, (36-arg1 > 0 /\ -30+arg1 > 0), cost: n5 Applied simplification Original rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=0, arg2'=arg2P2, (1 > 0 /\ -1+arg1 >= 0 /\ 31-arg1 > 0), cost: arg1 New rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=0, arg2'=arg2P2, (-1+arg1 >= 0 /\ 31-arg1 > 0), cost: arg1 Applied deletion Removed the following rules: 7 8 Accelerated simple loops Start location: __init 5: f1_0_main_Load -> f62_0_loop_EQ : arg1'=28+arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 6: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=0, arg2'=arg2P1, -35+arg1 > 0, cost: 1 10: f62_0_loop_EQ -> [3] : (36-arg1 > 0 /\ -30+arg1 > 0), cost: NONTERM 11: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=35, arg2'=arg2P3, (36-arg1 > 0 /\ -30+arg1 > 0), cost: n5 12: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=0, arg2'=arg2P2, (-1+arg1 >= 0 /\ 31-arg1 > 0), cost: arg1 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f62_0_loop_EQ : arg1'=28+arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Second rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=0, arg2'=arg2P1, -35+arg1 > 0, cost: 1 New rule: f1_0_main_Load -> f62_0_loop_EQ : arg1'=0, arg2'=arg2P1, (arg1 > 0 /\ -7+arg2 > 0), cost: 2 Applied chaining First rule: f1_0_main_Load -> f62_0_loop_EQ : arg1'=28+arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Second rule: f62_0_loop_EQ -> [3] : (36-arg1 > 0 /\ -30+arg1 > 0), cost: NONTERM New rule: f1_0_main_Load -> [3] : (arg1 > 0 /\ 8-arg2 > 0 /\ -2+arg2 > 0), cost: NONTERM Applied chaining First rule: f1_0_main_Load -> f62_0_loop_EQ : arg1'=28+arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Second rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=35, arg2'=arg2P3, (36-arg1 > 0 /\ -30+arg1 > 0), cost: n5 New rule: f1_0_main_Load -> f62_0_loop_EQ : arg1'=35, arg2'=arg2P3, (arg1 > 0 /\ 8-arg2 > 0 /\ -2+arg2 > 0), cost: 1+n5 Applied chaining First rule: f1_0_main_Load -> f62_0_loop_EQ : arg1'=28+arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Second rule: f62_0_loop_EQ -> f62_0_loop_EQ : arg1'=0, arg2'=arg2P2, (-1+arg1 >= 0 /\ 31-arg1 > 0), cost: arg1 New rule: f1_0_main_Load -> f62_0_loop_EQ : arg1'=0, arg2'=arg2P2, (arg1 > 0 /\ 3-arg2 > 0 /\ 1+arg2 > 0), cost: 29+arg2 Applied deletion Removed the following rules: 6 10 11 12 Chained accelerated rules with incoming rules Start location: __init 5: f1_0_main_Load -> f62_0_loop_EQ : arg1'=28+arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 13: f1_0_main_Load -> f62_0_loop_EQ : arg1'=0, arg2'=arg2P1, (arg1 > 0 /\ -7+arg2 > 0), cost: 2 14: f1_0_main_Load -> [3] : (arg1 > 0 /\ 8-arg2 > 0 /\ -2+arg2 > 0), cost: NONTERM 15: f1_0_main_Load -> f62_0_loop_EQ : arg1'=35, arg2'=arg2P3, (arg1 > 0 /\ 8-arg2 > 0 /\ -2+arg2 > 0), cost: 1+n5 16: f1_0_main_Load -> f62_0_loop_EQ : arg1'=0, arg2'=arg2P2, (arg1 > 0 /\ 3-arg2 > 0 /\ 1+arg2 > 0), cost: 29+arg2 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 14: f1_0_main_Load -> [3] : (arg1 > 0 /\ 8-arg2 > 0 /\ -2+arg2 > 0), cost: NONTERM 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Second rule: f1_0_main_Load -> [3] : (arg1 > 0 /\ 8-arg2 > 0 /\ -2+arg2 > 0), cost: NONTERM New rule: __init -> [3] : (-2+arg2P4 > 0 /\ 8-arg2P4 > 0 /\ arg1P4 > 0), cost: NONTERM Applied deletion Removed the following rules: 4 14 Eliminated locations on linear paths Start location: __init 17: __init -> [3] : (-2+arg2P4 > 0 /\ 8-arg2P4 > 0 /\ arg1P4 > 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 17 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (-2+arg2P4 > 0 /\ 8-arg2P4 > 0 /\ arg1P4 > 0)