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ITS pair #487100055
details
property
value
status
complete
benchmark
Collatz.jar-obl-8.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
From_AProVE_2014
run statistics
property
value
solver
LoAT
configuration
loat_nonterm_proofout
runtime (wallclock)
1.08945 seconds
cpu usage
1.09423
user time
1.05446
system time
0.039773
max virtual memory
292752.0
max residence set size
27904.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(0),?)
output
WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f84_0_main_LE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 1: f84_0_main_LE -> f84_0_main_LE\' : arg1'=arg1P1, arg2'=arg2P1, (arg1-x70 > 0 /\ -1+arg1 > 0 /\ arg1-arg1P1 == 0 /\ arg1-2*x60 == 0), cost: 1 3: f84_0_main_LE -> f84_0_main_LE\' : arg1'=arg1P3, arg2'=arg2P3, (-1+arg1 > 0 /\ -1+arg1-2*x120 == 0 /\ 3*arg1 > 0 /\ arg1-arg1P3 == 0), cost: 1 2: f84_0_main_LE\' -> f84_0_main_LE : arg1'=arg1P2, arg2'=arg2P2, (arg1-2*arg1P2 >= 0 /\ -1+arg1 > 0 /\ -2+arg1-2*arg1P2 < 0 /\ arg1-arg1P2 > 0 /\ -2+arg1-2*x100 < 0 /\ arg1-2*x100 >= 0 /\ arg1-2*x100 == 0), cost: 1 4: f84_0_main_LE\' -> f84_0_main_LE : arg1'=arg1P4, arg2'=arg2P4, (-1+arg1 > 0 /\ -1+arg1-2*x140 == 0 /\ arg1-2*x140 >= 0 /\ -2+arg1-2*x140 < 0 /\ 1+3*arg1-arg1P4 == 0 /\ 3*arg1 > 0), cost: 1 5: __init -> f1_0_main_Load : arg1'=arg1P5, arg2'=arg2P5, TRUE, cost: 1 Applied preprocessing Original rule: f84_0_main_LE -> f84_0_main_LE\' : arg1'=arg1P1, arg2'=arg2P1, (arg1-x70 > 0 /\ -1+arg1 > 0 /\ arg1-arg1P1 == 0 /\ arg1-2*x60 == 0), cost: 1 New rule: f84_0_main_LE -> f84_0_main_LE\' : arg2'=arg2P1, (-1+arg1 > 0 /\ arg1-2*x60 == 0), cost: 1 Applied preprocessing Original rule: f84_0_main_LE\' -> f84_0_main_LE : arg1'=arg1P2, arg2'=arg2P2, (arg1-2*arg1P2 >= 0 /\ -1+arg1 > 0 /\ -2+arg1-2*arg1P2 < 0 /\ arg1-arg1P2 > 0 /\ -2+arg1-2*x100 < 0 /\ arg1-2*x100 >= 0 /\ arg1-2*x100 == 0), cost: 1 New rule: f84_0_main_LE\' -> f84_0_main_LE : arg1'=arg1P2, arg2'=arg2P2, (arg1-2*arg1P2 >= 0 /\ arg1-arg1P2 > 0 /\ 2-arg1+2*arg1P2 > 0 /\ arg1-2*x100 == 0), cost: 1 Applied preprocessing Original rule: f84_0_main_LE -> f84_0_main_LE\' : arg1'=arg1P3, arg2'=arg2P3, (-1+arg1 > 0 /\ -1+arg1-2*x120 == 0 /\ 3*arg1 > 0 /\ arg1-arg1P3 == 0), cost: 1 New rule: f84_0_main_LE -> f84_0_main_LE\' : arg2'=arg2P3, (-1+arg1 > 0 /\ -1+arg1-2*x120 == 0), cost: 1 Applied preprocessing Original rule: f84_0_main_LE\' -> f84_0_main_LE : arg1'=arg1P4, arg2'=arg2P4, (-1+arg1 > 0 /\ -1+arg1-2*x140 == 0 /\ arg1-2*x140 >= 0 /\ -2+arg1-2*x140 < 0 /\ 1+3*arg1-arg1P4 == 0 /\ 3*arg1 > 0), cost: 1 New rule: f84_0_main_LE\' -> f84_0_main_LE : arg1'=1+3*arg1, arg2'=arg2P4, (-1+arg1 > 0 /\ -1+arg1-2*x140 == 0), cost: 1 Simplified rules Start location: __init 0: f1_0_main_Load -> f84_0_main_LE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 6: f84_0_main_LE -> f84_0_main_LE\' : arg2'=arg2P1, (-1+arg1 > 0 /\ arg1-2*x60 == 0), cost: 1 8: f84_0_main_LE -> f84_0_main_LE\' : arg2'=arg2P3, (-1+arg1 > 0 /\ -1+arg1-2*x120 == 0), cost: 1 7: f84_0_main_LE\' -> f84_0_main_LE : arg1'=arg1P2, arg2'=arg2P2, (arg1-2*arg1P2 >= 0 /\ arg1-arg1P2 > 0 /\ 2-arg1+2*arg1P2 > 0 /\ arg1-2*x100 == 0), cost: 1 9: f84_0_main_LE\' -> f84_0_main_LE : arg1'=1+3*arg1, arg2'=arg2P4, (-1+arg1 > 0 /\ -1+arg1-2*x140 == 0), cost: 1 5: __init -> f1_0_main_Load : arg1'=arg1P5, arg2'=arg2P5, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1P5, arg2'=arg2P5, TRUE, cost: 1 Second rule: f1_0_main_Load -> f84_0_main_LE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 New rule: __init -> f84_0_main_LE : arg1'=arg1P0, arg2'=arg2P0, (arg1P5 > 0 /\ 1+arg1P0 > 0 /\ 1+arg2P5 > 0), cost: 2 Applied deletion Removed the following rules: 0 5 Eliminated locations on linear paths Start location: __init 6: f84_0_main_LE -> f84_0_main_LE\' : arg2'=arg2P1, (-1+arg1 > 0 /\ arg1-2*x60 == 0), cost: 1 8: f84_0_main_LE -> f84_0_main_LE\' : arg2'=arg2P3, (-1+arg1 > 0 /\ -1+arg1-2*x120 == 0), cost: 1 7: f84_0_main_LE\' -> f84_0_main_LE : arg1'=arg1P2, arg2'=arg2P2, (arg1-2*arg1P2 >= 0 /\ arg1-arg1P2 > 0 /\ 2-arg1+2*arg1P2 > 0 /\ arg1-2*x100 == 0), cost: 1 9: f84_0_main_LE\' -> f84_0_main_LE : arg1'=1+3*arg1, arg2'=arg2P4, (-1+arg1 > 0 /\ -1+arg1-2*x140 == 0), cost: 1 10: __init -> f84_0_main_LE : arg1'=arg1P0, arg2'=arg2P0, (arg1P5 > 0 /\ 1+arg1P0 > 0 /\ 1+arg2P5 > 0), cost: 2 Eliminating location f84_0_main_LE\' by chaining: Applied chaining First rule: f84_0_main_LE -> f84_0_main_LE\' : arg2'=arg2P1, (-1+arg1 > 0 /\ arg1-2*x60 == 0), cost: 1 Second rule: f84_0_main_LE\' -> f84_0_main_LE : arg1'=arg1P2, arg2'=arg2P2, (arg1-2*arg1P2 >= 0 /\ arg1-arg1P2 > 0 /\ 2-arg1+2*arg1P2 > 0 /\ arg1-2*x100 == 0), cost: 1 New rule: f84_0_main_LE -> f84_0_main_LE : arg1'=arg1P2, arg2'=arg2P2, (arg1-2*arg1P2 >= 0 /\ -1+arg1 > 0 /\ arg1-arg1P2 > 0 /\ 2-arg1+2*arg1P2 > 0 /\ arg1-2*x100 == 0 /\ arg1-2*x60 == 0), cost: 2 Applied simplification Original rule: f84_0_main_LE -> f84_0_main_LE : arg1'=arg1P2, arg2'=arg2P2, (arg1-2*arg1P2 >= 0 /\ -1+arg1 > 0 /\ arg1-arg1P2 > 0 /\ 2-arg1+2*arg1P2 > 0 /\ arg1-2*x100 == 0 /\ arg1-2*x60 == 0), cost: 2 New rule: f84_0_main_LE -> f84_0_main_LE : arg1'=arg1P2, arg2'=arg2P2, (arg1-2*arg1P2 >= 0 /\ arg1-arg1P2 > 0 /\ 2-arg1+2*arg1P2 > 0 /\ arg1-2*x100 == 0 /\ arg1-2*x60 == 0), cost: 2 Applied chaining First rule: f84_0_main_LE -> f84_0_main_LE\' : arg2'=arg2P3, (-1+arg1 > 0 /\ -1+arg1-2*x120 == 0), cost: 1 Second rule: f84_0_main_LE\' -> f84_0_main_LE : arg1'=1+3*arg1, arg2'=arg2P4, (-1+arg1 > 0 /\ -1+arg1-2*x140 == 0), cost: 1 New rule: f84_0_main_LE -> f84_0_main_LE : arg1'=1+3*arg1, arg2'=arg2P4, (-1+arg1 > 0 /\ -1+arg1-2*x140 == 0 /\ -1+arg1-2*x120 == 0), cost: 2 Applied deletion Removed the following rules: 6 7 8 9 Eliminated locations on tree-shaped paths Start location: __init 11: f84_0_main_LE -> f84_0_main_LE : arg1'=arg1P2, arg2'=arg2P2, (arg1-2*arg1P2 >= 0 /\ arg1-arg1P2 > 0 /\ 2-arg1+2*arg1P2 > 0 /\ arg1-2*x100 == 0 /\ arg1-2*x60 == 0), cost: 2 12: f84_0_main_LE -> f84_0_main_LE : arg1'=1+3*arg1, arg2'=arg2P4, (-1+arg1 > 0 /\ -1+arg1-2*x140 == 0 /\ -1+arg1-2*x120 == 0), cost: 2 10: __init -> f84_0_main_LE : arg1'=arg1P0, arg2'=arg2P0, (arg1P5 > 0 /\ 1+arg1P0 > 0 /\ 1+arg2P5 > 0), cost: 2
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