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ITS pair #487100358
details
property
value
status
complete
benchmark
FactSumList.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)
0.737832 seconds
cpu usage
0.739917
user time
0.713513
system time
0.026404
max virtual memory
278168.0
max residence set size
23064.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(0),?)
output
WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_New -> f83_0_doSum_NONNULL : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, -3+arg1P0 > 0, cost: 1 1: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg3P1, arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ 2-arg1+arg5P1 <= 0 /\ 1-arg3P1 == 0 /\ arg1P1 > 0 /\ 1-arg4P1 == 0 /\ -arg1+arg1P1 <= 0 /\ 1-arg1+arg6P1 <= 0 /\ 1-arg2P1 == 0 /\ 1+arg6P1 > 0), cost: 1 2: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg1 > 0 /\ arg6-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2-arg1+arg5 <= 0 /\ arg2 > 0 /\ -arg3+arg5 < 0 /\ arg3-arg4 == 0 /\ -1+arg1-arg1P2 >= 0 /\ 1+arg6 > 0), cost: 1 3: f160_0_factorial_GT -> f160_0_factorial_GT : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ -arg2P3+arg3*arg2 == 0 /\ arg1P3 > 0 /\ -arg6+arg6P3 <= 0 /\ 2-arg1+arg5 <= 0 /\ arg3 > 0 /\ 1-arg1+arg6P3 <= 0 /\ 1+arg6P3 > 0 /\ 1+arg3-arg3P3 == 0 /\ -arg5P3+arg5 == 0 /\ arg2 > 0 /\ -arg3+arg5 >= 0 /\ 1+arg3-arg4P3 == 0 /\ arg3-arg4 == 0 /\ 1+arg6 > 0 /\ -arg1+arg1P3 <= 0), cost: 1 4: __init -> f1_0_main_New : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, TRUE, cost: 1 Applied preprocessing Original rule: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg3P1, arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ 2-arg1+arg5P1 <= 0 /\ 1-arg3P1 == 0 /\ arg1P1 > 0 /\ 1-arg4P1 == 0 /\ -arg1+arg1P1 <= 0 /\ 1-arg1+arg6P1 <= 0 /\ 1-arg2P1 == 0 /\ 1+arg6P1 > 0), cost: 1 New rule: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg1'=arg1P1, arg6'=arg6P1, arg3'=1, arg5'=arg5P1, arg2'=1, arg4'=1, (2-arg1+arg5P1 <= 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0 /\ 1-arg1+arg6P1 <= 0 /\ 1+arg6P1 > 0), cost: 1 Applied preprocessing Original rule: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg1 > 0 /\ arg6-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2-arg1+arg5 <= 0 /\ arg2 > 0 /\ -arg3+arg5 < 0 /\ arg3-arg4 == 0 /\ -1+arg1-arg1P2 >= 0 /\ 1+arg6 > 0), cost: 1 New rule: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg6-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2-arg1+arg5 <= 0 /\ arg2 > 0 /\ arg3-arg4 == 0 /\ -1+arg1-arg1P2 >= 0 /\ arg3-arg5 > 0), cost: 1 Applied preprocessing Original rule: f160_0_factorial_GT -> f160_0_factorial_GT : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, (arg1 > 0 /\ -arg2P3+arg3*arg2 == 0 /\ arg1P3 > 0 /\ -arg6+arg6P3 <= 0 /\ 2-arg1+arg5 <= 0 /\ arg3 > 0 /\ 1-arg1+arg6P3 <= 0 /\ 1+arg6P3 > 0 /\ 1+arg3-arg3P3 == 0 /\ -arg5P3+arg5 == 0 /\ arg2 > 0 /\ -arg3+arg5 >= 0 /\ 1+arg3-arg4P3 == 0 /\ arg3-arg4 == 0 /\ 1+arg6 > 0 /\ -arg1+arg1P3 <= 0), cost: 1 New rule: f160_0_factorial_GT -> f160_0_factorial_GT : arg1'=arg1P3, arg6'=arg6P3, arg3'=1+arg3, arg2'=arg3*arg2, arg4'=1+arg3, (arg1P3 > 0 /\ -arg6+arg6P3 <= 0 /\ 2-arg1+arg5 <= 0 /\ arg3 > 0 /\ 1-arg1+arg6P3 <= 0 /\ 1+arg6P3 > 0 /\ arg2 > 0 /\ -arg3+arg5 >= 0 /\ arg3-arg4 == 0 /\ -arg1+arg1P3 <= 0), cost: 1 Simplified rules Start location: __init 0: f1_0_main_New -> f83_0_doSum_NONNULL : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, -3+arg1P0 > 0, cost: 1 5: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg1'=arg1P1, arg6'=arg6P1, arg3'=1, arg5'=arg5P1, arg2'=1, arg4'=1, (2-arg1+arg5P1 <= 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0 /\ 1-arg1+arg6P1 <= 0 /\ 1+arg6P1 > 0), cost: 1 6: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg6-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2-arg1+arg5 <= 0 /\ arg2 > 0 /\ arg3-arg4 == 0 /\ -1+arg1-arg1P2 >= 0 /\ arg3-arg5 > 0), cost: 1 7: f160_0_factorial_GT -> f160_0_factorial_GT : arg1'=arg1P3, arg6'=arg6P3, arg3'=1+arg3, arg2'=arg3*arg2, arg4'=1+arg3, (arg1P3 > 0 /\ -arg6+arg6P3 <= 0 /\ 2-arg1+arg5 <= 0 /\ arg3 > 0 /\ 1-arg1+arg6P3 <= 0 /\ 1+arg6P3 > 0 /\ arg2 > 0 /\ -arg3+arg5 >= 0 /\ arg3-arg4 == 0 /\ -arg1+arg1P3 <= 0), cost: 1 4: __init -> f1_0_main_New : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, TRUE, cost: 1 Accelerated simple loops Start location: __init 0: f1_0_main_New -> f83_0_doSum_NONNULL : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, -3+arg1P0 > 0, cost: 1 5: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg1'=arg1P1, arg6'=arg6P1, arg3'=1, arg5'=arg5P1, arg2'=1, arg4'=1, (2-arg1+arg5P1 <= 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0 /\ 1-arg1+arg6P1 <= 0 /\ 1+arg6P1 > 0), cost: 1 6: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg6-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2-arg1+arg5 <= 0 /\ arg2 > 0 /\ arg3-arg4 == 0 /\ -1+arg1-arg1P2 >= 0 /\ arg3-arg5 > 0), cost: 1 7: f160_0_factorial_GT -> f160_0_factorial_GT : arg1'=arg1P3, arg6'=arg6P3, arg3'=1+arg3, arg2'=arg3*arg2, arg4'=1+arg3, (arg1P3 > 0 /\ -arg6+arg6P3 <= 0 /\ 2-arg1+arg5 <= 0 /\ arg3 > 0 /\ 1-arg1+arg6P3 <= 0 /\ 1+arg6P3 > 0 /\ arg2 > 0 /\ -arg3+arg5 >= 0 /\ arg3-arg4 == 0 /\ -arg1+arg1P3 <= 0), cost: 1 4: __init -> f1_0_main_New : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, TRUE, cost: 1 Applied chaining First rule: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg1'=arg1P1, arg6'=arg6P1, arg3'=1, arg5'=arg5P1, arg2'=1, arg4'=1, (2-arg1+arg5P1 <= 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0 /\ 1-arg1+arg6P1 <= 0 /\ 1+arg6P1 > 0), cost: 1 Second rule: f160_0_factorial_GT -> f160_0_factorial_GT : arg1'=arg1P3, arg6'=arg6P3, arg3'=1+arg3, arg2'=arg3*arg2, arg4'=1+arg3, (arg1P3 > 0 /\ -arg6+arg6P3 <= 0 /\ 2-arg1+arg5 <= 0 /\ arg3 > 0 /\ 1-arg1+arg6P3 <= 0 /\ 1+arg6P3 > 0 /\ arg2 > 0 /\ -arg3+arg5 >= 0 /\ arg3-arg4 == 0 /\ -arg1+arg1P3 <= 0), cost: 1 New rule: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg1'=arg1P3, arg6'=arg6P3, arg3'=2, arg5'=arg5P1, arg2'=1, arg4'=2, (arg1P3 > 0 /\ 2-arg1+arg5P1 <= 0 /\ 1-arg1+arg6P3 <= 0 /\ 1+arg6P3 > 0 /\ -1+arg5P1 >= 0 /\ -arg1+arg1P3 <= 0), cost: 2 Applied deletion Removed the following rules: 7 Chained accelerated rules with incoming rules Start location: __init 0: f1_0_main_New -> f83_0_doSum_NONNULL : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, -3+arg1P0 > 0, cost: 1 5: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg1'=arg1P1, arg6'=arg6P1, arg3'=1, arg5'=arg5P1, arg2'=1, arg4'=1, (2-arg1+arg5P1 <= 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0 /\ 1-arg1+arg6P1 <= 0 /\ 1+arg6P1 > 0), cost: 1 8: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg1'=arg1P3, arg6'=arg6P3, arg3'=2, arg5'=arg5P1, arg2'=1, arg4'=2, (arg1P3 > 0 /\ 2-arg1+arg5P1 <= 0 /\ 1-arg1+arg6P3 <= 0 /\ 1+arg6P3 > 0 /\ -1+arg5P1 >= 0 /\ -arg1+arg1P3 <= 0), cost: 2 6: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg6-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2-arg1+arg5 <= 0 /\ arg2 > 0 /\ arg3-arg4 == 0 /\ -1+arg1-arg1P2 >= 0 /\ arg3-arg5 > 0), cost: 1 4: __init -> f1_0_main_New : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, TRUE, cost: 1 Eliminating location f1_0_main_New by chaining: Applied chaining First rule: __init -> f1_0_main_New : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, TRUE, cost: 1 Second rule: f1_0_main_New -> f83_0_doSum_NONNULL : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, -3+arg1P0 > 0, cost: 1 New rule: __init -> f83_0_doSum_NONNULL : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, -3+arg1P0 > 0, cost: 2 Applied deletion Removed the following rules: 0 4 Eliminated locations on linear paths Start location: __init 5: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg1'=arg1P1, arg6'=arg6P1, arg3'=1, arg5'=arg5P1, arg2'=1, arg4'=1, (2-arg1+arg5P1 <= 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0 /\ 1-arg1+arg6P1 <= 0 /\ 1+arg6P1 > 0), cost: 1 8: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg1'=arg1P3, arg6'=arg6P3, arg3'=2, arg5'=arg5P1, arg2'=1, arg4'=2, (arg1P3 > 0 /\ 2-arg1+arg5P1 <= 0 /\ 1-arg1+arg6P3 <= 0 /\ 1+arg6P3 > 0 /\ -1+arg5P1 >= 0 /\ -arg1+arg1P3 <= 0), cost: 2 6: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg6-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2-arg1+arg5 <= 0 /\ arg2 > 0 /\ arg3-arg4 == 0 /\ -1+arg1-arg1P2 >= 0 /\ arg3-arg5 > 0), cost: 1 9: __init -> f83_0_doSum_NONNULL : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, -3+arg1P0 > 0, cost: 2 Eliminating location f160_0_factorial_GT by chaining: Applied chaining First rule: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg1'=arg1P1, arg6'=arg6P1, arg3'=1, arg5'=arg5P1, arg2'=1, arg4'=1, (2-arg1+arg5P1 <= 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0 /\ 1-arg1+arg6P1 <= 0 /\ 1+arg6P1 > 0), cost: 1 Second rule: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg6-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2-arg1+arg5 <= 0 /\ arg2 > 0 /\ arg3-arg4 == 0 /\ -1+arg1-arg1P2 >= 0 /\ arg3-arg5 > 0), cost: 1 New rule: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (0 == 0 /\ 1+arg1P2 > 0 /\ 1 > 0 /\ 2-arg1+arg5P1 <= 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0 /\ 2-arg1P1+arg5P1 <= 0 /\ 1-arg5P1 > 0 /\ -1-arg1P2+arg1P1 >= 0 /\ -arg1P2+arg6P1 >= 0 /\ 1-arg1+arg6P1 <= 0 /\ 1+arg6P1 > 0), cost: 2 Applied simplification Original rule:
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