/export/starexec/sandbox/solver/bin/starexec_run_loat_nonterm_proofout /export/starexec/sandbox/benchmark/theBenchmark.smt2 /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO Initial ITS Start location: __init 0: f1_0_main_ConstantStackPush -> f68_0_main_GE : arg1'=arg1P0, arg2'=arg2P0, (17-arg2P0 == 0 /\ 13-arg1P0 == 0), cost: 1 1: f68_0_main_GE -> f68_0_main_GE : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ 2-arg1P1 == 0 /\ 1+arg1-arg2P1 == 0 /\ -2+arg2 > 0 /\ -arg1+arg2 > 0), cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_ConstantStackPush -> f68_0_main_GE : arg1'=arg1P0, arg2'=arg2P0, (17-arg2P0 == 0 /\ 13-arg1P0 == 0), cost: 1 New rule: f1_0_main_ConstantStackPush -> f68_0_main_GE : arg1'=13, arg2'=17, TRUE, cost: 1 Applied preprocessing Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ 2-arg1P1 == 0 /\ 1+arg1-arg2P1 == 0 /\ -2+arg2 > 0 /\ -arg1+arg2 > 0), cost: 1 New rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=1+arg1, (arg1 > 0 /\ -2+arg2 > 0 /\ -arg1+arg2 > 0), cost: 1 Simplified rules Start location: __init 3: f1_0_main_ConstantStackPush -> f68_0_main_GE : arg1'=13, arg2'=17, TRUE, cost: 1 4: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=1+arg1, (arg1 > 0 /\ -2+arg2 > 0 /\ -arg1+arg2 > 0), cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1 Applied unrolling Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=1+arg1, (arg1 > 0 /\ -2+arg2 > 0 /\ -arg1+arg2 > 0), cost: 1 New rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (arg1 > 0 /\ -1+arg1 > 0 /\ 2 > 0 /\ -2+arg2 > 0 /\ -arg1+arg2 > 0), cost: 2 Applied nonterm Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (arg1 > 0 /\ -1+arg1 > 0 /\ 2 > 0 /\ -2+arg2 > 0 /\ -arg1+arg2 > 0), cost: 2 New rule: f68_0_main_GE -> [3] : (arg1 > 0 /\ -1+arg1 > 0 /\ 2 > 0 /\ -2+arg2 > 0 /\ -arg1+arg2 > 0), cost: NONTERM Applied acceleration Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (arg1 > 0 /\ -1+arg1 > 0 /\ 2 > 0 /\ -2+arg2 > 0 /\ -arg1+arg2 > 0), cost: 2 New rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (arg1 > 0 /\ -1+arg1 > 0 /\ 2 > 0 /\ -2+arg2 > 0 /\ -arg1+arg2 > 0), cost: 2*n0 Applied simplification Original rule: f68_0_main_GE -> [3] : (arg1 > 0 /\ -1+arg1 > 0 /\ 2 > 0 /\ -2+arg2 > 0 /\ -arg1+arg2 > 0), cost: NONTERM New rule: f68_0_main_GE -> [3] : (-1+arg1 > 0 /\ -arg1+arg2 > 0), cost: NONTERM Applied simplification Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (arg1 > 0 /\ -1+arg1 > 0 /\ 2 > 0 /\ -2+arg2 > 0 /\ -arg1+arg2 > 0), cost: 2*n0 New rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-1+arg1 > 0 /\ -arg1+arg2 > 0), cost: 2*n0 Applied deletion Removed the following rules: 4 Accelerated simple loops Start location: __init 3: f1_0_main_ConstantStackPush -> f68_0_main_GE : arg1'=13, arg2'=17, TRUE, cost: 1 7: f68_0_main_GE -> [3] : (-1+arg1 > 0 /\ -arg1+arg2 > 0), cost: NONTERM 8: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-1+arg1 > 0 /\ -arg1+arg2 > 0), cost: 2*n0 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1 Applied chaining First rule: f1_0_main_ConstantStackPush -> f68_0_main_GE : arg1'=13, arg2'=17, TRUE, cost: 1 Second rule: f68_0_main_GE -> [3] : (-1+arg1 > 0 /\ -arg1+arg2 > 0), cost: NONTERM New rule: f1_0_main_ConstantStackPush -> [3] : (4 > 0 /\ 12 > 0), cost: NONTERM Applied chaining First rule: f1_0_main_ConstantStackPush -> f68_0_main_GE : arg1'=13, arg2'=17, TRUE, cost: 1 Second rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-1+arg1 > 0 /\ -arg1+arg2 > 0), cost: 2*n0 New rule: f1_0_main_ConstantStackPush -> f68_0_main_GE : arg1'=2, arg2'=3, (4 > 0 /\ 12 > 0), cost: 1+2*n0 Applied deletion Removed the following rules: 7 8 Chained accelerated rules with incoming rules Start location: __init 3: f1_0_main_ConstantStackPush -> f68_0_main_GE : arg1'=13, arg2'=17, TRUE, cost: 1 9: f1_0_main_ConstantStackPush -> [3] : (4 > 0 /\ 12 > 0), cost: NONTERM 10: f1_0_main_ConstantStackPush -> f68_0_main_GE : arg1'=2, arg2'=3, (4 > 0 /\ 12 > 0), cost: 1+2*n0 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 9: f1_0_main_ConstantStackPush -> [3] : (4 > 0 /\ 12 > 0), cost: NONTERM 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1 Eliminating location f1_0_main_ConstantStackPush by chaining: Applied chaining First rule: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1 Second rule: f1_0_main_ConstantStackPush -> [3] : (4 > 0 /\ 12 > 0), cost: NONTERM New rule: __init -> [3] : (4 > 0 /\ 12 > 0), cost: NONTERM Applied deletion Removed the following rules: 2 9 Eliminated locations on linear paths Start location: __init 11: __init -> [3] : (4 > 0 /\ 12 > 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 11 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (4 > 0 /\ 12 > 0)