Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS_Conditional 2019-03-28 22.59 pair #432272535
details
property
value
status
complete
benchmark
323.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n045.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.72362 seconds
cpu usage
3.61217
user time
3.45293
system time
0.159245
max virtual memory
3.6573528E7
max residence set size
236112.0
stage attributes
key
value
starexec-result
YES
output
3.55/1.69 YES 3.55/1.70 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.55/1.70 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.55/1.70 3.55/1.70 3.55/1.70 Quasi decreasingness of the given CTRS could be proven: 3.55/1.70 3.55/1.70 (0) CTRS 3.55/1.70 (1) CTRSToQTRSProof [SOUND, 0 ms] 3.55/1.70 (2) QTRS 3.55/1.70 (3) QTRSRRRProof [EQUIVALENT, 46 ms] 3.55/1.70 (4) QTRS 3.55/1.70 (5) RisEmptyProof [EQUIVALENT, 0 ms] 3.55/1.70 (6) YES 3.55/1.70 3.55/1.70 3.55/1.70 ---------------------------------------- 3.55/1.70 3.55/1.70 (0) 3.55/1.70 Obligation: 3.55/1.70 Conditional term rewrite system: 3.55/1.70 The TRS R consists of the following rules: 3.55/1.70 3.55/1.70 a -> b 3.55/1.70 g(a) -> h(b) 3.55/1.70 3.55/1.70 The conditional TRS C consists of the following conditional rules: 3.55/1.70 3.55/1.70 f(x) -> c(x, y) <= g(x) -> y, y -> h(x) 3.55/1.70 3.55/1.70 3.55/1.70 ---------------------------------------- 3.55/1.70 3.55/1.70 (1) CTRSToQTRSProof (SOUND) 3.55/1.70 The conditional rules have been transormed into unconditional rules according to [CTRS,AAECCNOC]. 3.55/1.70 ---------------------------------------- 3.55/1.70 3.55/1.70 (2) 3.55/1.70 Obligation: 3.55/1.70 Q restricted rewrite system: 3.55/1.70 The TRS R consists of the following rules: 3.55/1.70 3.55/1.70 f(x) -> U1(g(x), x) 3.55/1.70 U1(y, x) -> U2(y, x, y) 3.55/1.70 U2(h(x), x, y) -> c(x, y) 3.55/1.70 a -> b 3.55/1.70 g(a) -> h(b) 3.55/1.70 3.55/1.70 Q is empty. 3.55/1.70 3.55/1.70 ---------------------------------------- 3.55/1.70 3.55/1.70 (3) QTRSRRRProof (EQUIVALENT) 3.55/1.70 Used ordering: 3.55/1.70 f/1(YES) 3.55/1.70 U1/2(YES,YES) 3.55/1.70 g/1)YES( 3.55/1.70 U2/3(YES,YES,YES) 3.55/1.70 h/1(YES) 3.55/1.70 c/2(YES,YES) 3.55/1.70 a/0) 3.55/1.70 b/0) 3.55/1.70 3.55/1.70 Quasi precedence: 3.55/1.70 f_1 > U1_2 > U2_3 > c_2 3.55/1.70 a > h_1 > c_2 3.55/1.70 a > b > c_2 3.55/1.70 3.55/1.70 3.55/1.70 Status: 3.55/1.70 f_1: [1] 3.55/1.70 U1_2: [2,1] 3.55/1.70 U2_3: [2,1,3] 3.55/1.70 h_1: multiset status 3.55/1.70 c_2: [2,1] 3.55/1.70 a: multiset status 3.55/1.70 b: multiset status 3.55/1.70 3.55/1.70 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 3.55/1.70 3.55/1.70 f(x) -> U1(g(x), x) 3.55/1.70 U1(y, x) -> U2(y, x, y) 3.55/1.70 U2(h(x), x, y) -> c(x, y) 3.55/1.70 a -> b 3.55/1.70 g(a) -> h(b) 3.55/1.70 3.55/1.70 3.55/1.70 3.55/1.70 3.55/1.70 ---------------------------------------- 3.55/1.70 3.55/1.70 (4) 3.55/1.70 Obligation: 3.55/1.70 Q restricted rewrite system: 3.55/1.70 R is empty. 3.55/1.70 Q is empty. 3.55/1.70 3.55/1.70 ---------------------------------------- 3.55/1.70 3.55/1.70 (5) RisEmptyProof (EQUIVALENT)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS_Conditional 2019-03-28 22.59