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ITS pair #487096944
details
property
value
status
complete
benchmark
fun4.t2_fixed.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
From_T2
run statistics
property
value
solver
LoAT
configuration
loat_nonterm_proofout
runtime (wallclock)
0.153563 seconds
cpu usage
0.155431
user time
0.132598
system time
0.022833
max virtual memory
113188.0
max residence set size
19180.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(0),?)
output
WORST_CASE(Omega(0),?) Initial ITS Start location: l4 0: l0 -> l2 : c0^0'=c0^post0, deltaext_new^0'=deltaext_new^post0, deltaext^0'=deltaext^post0, wnt^0'=wnt^post0, (-wnt^post0+wnt^0 == 0 /\ 1-deltaext_new^0+deltaext^0 <= 0 /\ deltaext^0-deltaext^post0 == 0 /\ c0^0-c0^post0 == 0 /\ deltaext_new^0-deltaext_new^post0 == 0), cost: 1 1: l0 -> l2 : c0^0'=c0^post1, deltaext_new^0'=deltaext_new^post1, deltaext^0'=deltaext^post1, wnt^0'=wnt^post1, (-deltaext^post1+deltaext^0 == 0 /\ 1+deltaext_new^0-deltaext^0 <= 0 /\ c0^0-c0^post1 == 0 /\ -deltaext_new^post1+deltaext_new^0 == 0 /\ -wnt^post1+wnt^0 == 0), cost: 1 2: l2 -> l1 : c0^0'=c0^post2, deltaext_new^0'=deltaext_new^post2, deltaext^0'=deltaext^post2, wnt^0'=wnt^post2, (-deltaext_new^0+deltaext^post2 == 0 /\ deltaext_new^0-deltaext_new^post2 == 0 /\ -wnt^post2+wnt^0 == 0 /\ c0^0-c0^post2 == 0), cost: 1 3: l1 -> l0 : c0^0'=c0^post3, deltaext_new^0'=deltaext_new^post3, deltaext^0'=deltaext^post3, wnt^0'=wnt^post3, (c0^0-c0^post3 == 0 /\ -deltaext^0+deltaext_new^post3 == 0 /\ -1-c0^0+2*deltaext^0-wnt^0 <= 0 /\ deltaext^0-deltaext^post3 == 0 /\ -wnt^post3+wnt^0 == 0 /\ c0^0-2*deltaext^0+wnt^0 <= 0), cost: 1 4: l1 -> l0 : c0^0'=c0^post4, deltaext_new^0'=deltaext_new^post4, deltaext^0'=deltaext^post4, wnt^0'=wnt^post4, (2+c0^0-2*deltaext^0+wnt^0 <= 0 /\ c0^0-c0^post4 == 0 /\ -wnt^post4+wnt^0 == 0 /\ -deltaext^post4+deltaext^0 == 0 /\ 1+deltaext_new^post4-deltaext^0 == 0), cost: 1 5: l1 -> l0 : c0^0'=c0^post5, deltaext_new^0'=deltaext_new^post5, deltaext^0'=deltaext^post5, wnt^0'=wnt^post5, (-1+deltaext_new^post5-deltaext^0 == 0 /\ c0^0-c0^post5 == 0 /\ 1-c0^0+2*deltaext^0-wnt^0 <= 0 /\ -wnt^post5+wnt^0 == 0 /\ -deltaext^post5+deltaext^0 == 0), cost: 1 6: l3 -> l1 : c0^0'=c0^post6, deltaext_new^0'=deltaext_new^post6, deltaext^0'=deltaext^post6, wnt^0'=wnt^post6, (deltaext_new^0-deltaext_new^post6 == 0 /\ -3+wnt^0 <= 0 /\ wnt^0-wnt^post6 == 0 /\ -deltaext^0 <= 0 /\ -3+deltaext^0 <= 0 /\ -deltaext^post6+deltaext^0 == 0 /\ -2+c0^post6 == 0 /\ -wnt^0 <= 0), cost: 1 7: l4 -> l3 : c0^0'=c0^post7, deltaext_new^0'=deltaext_new^post7, deltaext^0'=deltaext^post7, wnt^0'=wnt^post7, (c0^0-c0^post7 == 0 /\ deltaext^0-deltaext^post7 == 0 /\ deltaext_new^0-deltaext_new^post7 == 0 /\ -wnt^post7+wnt^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l2 : c0^0'=c0^post0, deltaext_new^0'=deltaext_new^post0, deltaext^0'=deltaext^post0, wnt^0'=wnt^post0, (-wnt^post0+wnt^0 == 0 /\ 1-deltaext_new^0+deltaext^0 <= 0 /\ deltaext^0-deltaext^post0 == 0 /\ c0^0-c0^post0 == 0 /\ deltaext_new^0-deltaext_new^post0 == 0), cost: 1 New rule: l0 -> l2 : 1-deltaext_new^0+deltaext^0 <= 0, cost: 1 Applied preprocessing Original rule: l0 -> l2 : c0^0'=c0^post1, deltaext_new^0'=deltaext_new^post1, deltaext^0'=deltaext^post1, wnt^0'=wnt^post1, (-deltaext^post1+deltaext^0 == 0 /\ 1+deltaext_new^0-deltaext^0 <= 0 /\ c0^0-c0^post1 == 0 /\ -deltaext_new^post1+deltaext_new^0 == 0 /\ -wnt^post1+wnt^0 == 0), cost: 1 New rule: l0 -> l2 : 1+deltaext_new^0-deltaext^0 <= 0, cost: 1 Applied preprocessing Original rule: l2 -> l1 : c0^0'=c0^post2, deltaext_new^0'=deltaext_new^post2, deltaext^0'=deltaext^post2, wnt^0'=wnt^post2, (-deltaext_new^0+deltaext^post2 == 0 /\ deltaext_new^0-deltaext_new^post2 == 0 /\ -wnt^post2+wnt^0 == 0 /\ c0^0-c0^post2 == 0), cost: 1 New rule: l2 -> l1 : deltaext^0'=deltaext_new^0, TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l0 : c0^0'=c0^post3, deltaext_new^0'=deltaext_new^post3, deltaext^0'=deltaext^post3, wnt^0'=wnt^post3, (c0^0-c0^post3 == 0 /\ -deltaext^0+deltaext_new^post3 == 0 /\ -1-c0^0+2*deltaext^0-wnt^0 <= 0 /\ deltaext^0-deltaext^post3 == 0 /\ -wnt^post3+wnt^0 == 0 /\ c0^0-2*deltaext^0+wnt^0 <= 0), cost: 1 New rule: l1 -> l0 : deltaext_new^0'=deltaext^0, (-1-c0^0+2*deltaext^0-wnt^0 <= 0 /\ c0^0-2*deltaext^0+wnt^0 <= 0), cost: 1 Applied preprocessing Original rule: l1 -> l0 : c0^0'=c0^post4, deltaext_new^0'=deltaext_new^post4, deltaext^0'=deltaext^post4, wnt^0'=wnt^post4, (2+c0^0-2*deltaext^0+wnt^0 <= 0 /\ c0^0-c0^post4 == 0 /\ -wnt^post4+wnt^0 == 0 /\ -deltaext^post4+deltaext^0 == 0 /\ 1+deltaext_new^post4-deltaext^0 == 0), cost: 1 New rule: l1 -> l0 : deltaext_new^0'=-1+deltaext^0, 2+c0^0-2*deltaext^0+wnt^0 <= 0, cost: 1 Applied preprocessing Original rule: l1 -> l0 : c0^0'=c0^post5, deltaext_new^0'=deltaext_new^post5, deltaext^0'=deltaext^post5, wnt^0'=wnt^post5, (-1+deltaext_new^post5-deltaext^0 == 0 /\ c0^0-c0^post5 == 0 /\ 1-c0^0+2*deltaext^0-wnt^0 <= 0 /\ -wnt^post5+wnt^0 == 0 /\ -deltaext^post5+deltaext^0 == 0), cost: 1 New rule: l1 -> l0 : deltaext_new^0'=1+deltaext^0, 1-c0^0+2*deltaext^0-wnt^0 <= 0, cost: 1 Applied preprocessing Original rule: l3 -> l1 : c0^0'=c0^post6, deltaext_new^0'=deltaext_new^post6, deltaext^0'=deltaext^post6, wnt^0'=wnt^post6, (deltaext_new^0-deltaext_new^post6 == 0 /\ -3+wnt^0 <= 0 /\ wnt^0-wnt^post6 == 0 /\ -deltaext^0 <= 0 /\ -3+deltaext^0 <= 0 /\ -deltaext^post6+deltaext^0 == 0 /\ -2+c0^post6 == 0 /\ -wnt^0 <= 0), cost: 1 New rule: l3 -> l1 : c0^0'=2, (-3+wnt^0 <= 0 /\ deltaext^0 >= 0 /\ -3+deltaext^0 <= 0 /\ wnt^0 >= 0), cost: 1 Applied preprocessing Original rule: l4 -> l3 : c0^0'=c0^post7, deltaext_new^0'=deltaext_new^post7, deltaext^0'=deltaext^post7, wnt^0'=wnt^post7, (c0^0-c0^post7 == 0 /\ deltaext^0-deltaext^post7 == 0 /\ deltaext_new^0-deltaext_new^post7 == 0 /\ -wnt^post7+wnt^0 == 0), cost: 1 New rule: l4 -> l3 : TRUE, cost: 1 Simplified rules Start location: l4 8: l0 -> l2 : 1-deltaext_new^0+deltaext^0 <= 0, cost: 1 9: l0 -> l2 : 1+deltaext_new^0-deltaext^0 <= 0, cost: 1 10: l2 -> l1 : deltaext^0'=deltaext_new^0, TRUE, cost: 1 11: l1 -> l0 : deltaext_new^0'=deltaext^0, (-1-c0^0+2*deltaext^0-wnt^0 <= 0 /\ c0^0-2*deltaext^0+wnt^0 <= 0), cost: 1 12: l1 -> l0 : deltaext_new^0'=-1+deltaext^0, 2+c0^0-2*deltaext^0+wnt^0 <= 0, cost: 1 13: l1 -> l0 : deltaext_new^0'=1+deltaext^0, 1-c0^0+2*deltaext^0-wnt^0 <= 0, cost: 1 14: l3 -> l1 : c0^0'=2, (-3+wnt^0 <= 0 /\ deltaext^0 >= 0 /\ -3+deltaext^0 <= 0 /\ wnt^0 >= 0), cost: 1 15: l4 -> l3 : TRUE, cost: 1 Eliminating location l3 by chaining: Applied chaining First rule: l4 -> l3 : TRUE, cost: 1 Second rule: l3 -> l1 : c0^0'=2, (-3+wnt^0 <= 0 /\ deltaext^0 >= 0 /\ -3+deltaext^0 <= 0 /\ wnt^0 >= 0), cost: 1 New rule: l4 -> l1 : c0^0'=2, (-3+wnt^0 <= 0 /\ deltaext^0 >= 0 /\ -3+deltaext^0 <= 0 /\ wnt^0 >= 0), cost: 2 Applied deletion Removed the following rules: 14 15 Eliminated locations on linear paths Start location: l4 8: l0 -> l2 : 1-deltaext_new^0+deltaext^0 <= 0, cost: 1 9: l0 -> l2 : 1+deltaext_new^0-deltaext^0 <= 0, cost: 1 10: l2 -> l1 : deltaext^0'=deltaext_new^0, TRUE, cost: 1 11: l1 -> l0 : deltaext_new^0'=deltaext^0, (-1-c0^0+2*deltaext^0-wnt^0 <= 0 /\ c0^0-2*deltaext^0+wnt^0 <= 0), cost: 1 12: l1 -> l0 : deltaext_new^0'=-1+deltaext^0, 2+c0^0-2*deltaext^0+wnt^0 <= 0, cost: 1 13: l1 -> l0 : deltaext_new^0'=1+deltaext^0, 1-c0^0+2*deltaext^0-wnt^0 <= 0, cost: 1 16: l4 -> l1 : c0^0'=2, (-3+wnt^0 <= 0 /\ deltaext^0 >= 0 /\ -3+deltaext^0 <= 0 /\ wnt^0 >= 0), cost: 2 Eliminating location l0 by chaining:
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