Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Standard 2019-03-29 03.29 pair #432292303
details
property
value
status
complete
benchmark
z051.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n059.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.66812 seconds
cpu usage
3.52878
user time
3.38087
system time
0.14791
max virtual memory
1.8478076E7
max residence set size
245692.0
stage attributes
key
value
starexec-result
YES
output
3.42/1.63 YES 3.42/1.64 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.42/1.64 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.42/1.64 3.42/1.64 3.42/1.64 Termination w.r.t. Q of the given QTRS could be proven: 3.42/1.64 3.42/1.64 (0) QTRS 3.42/1.64 (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.42/1.64 (2) YES 3.42/1.64 3.42/1.64 3.42/1.64 ---------------------------------------- 3.42/1.64 3.42/1.64 (0) 3.42/1.64 Obligation: 3.42/1.64 Q restricted rewrite system: 3.42/1.64 The TRS R consists of the following rules: 3.42/1.64 3.42/1.64 b(a(a(b(b(x1))))) -> a(a(b(b(b(a(a(x1))))))) 3.42/1.64 3.42/1.64 Q is empty. 3.42/1.64 3.42/1.64 ---------------------------------------- 3.42/1.64 3.42/1.64 (1) RFCMatchBoundsTRSProof (EQUIVALENT) 3.42/1.64 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. 3.42/1.64 The following rules were used to construct the certificate: 3.42/1.64 3.42/1.64 b(a(a(b(b(x1))))) -> a(a(b(b(b(a(a(x1))))))) 3.42/1.64 3.42/1.64 The certificate found is represented by the following graph. 3.42/1.64 The certificate consists of the following enumerated nodes: 3.42/1.64 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38 3.42/1.64 3.42/1.64 Node 1 is start node and node 2 is final node. 3.42/1.64 3.42/1.64 Those nodes are connected through the following edges: 3.42/1.64 3.42/1.64 * 1 to 3 labelled a_1(0)* 2 to 2 labelled #_1(0)* 3 to 4 labelled a_1(0)* 4 to 5 labelled b_1(0)* 4 to 21 labelled a_1(1)* 5 to 6 labelled b_1(0)* 5 to 15 labelled a_1(1)* 6 to 7 labelled b_1(0)* 6 to 9 labelled a_1(1)* 7 to 8 labelled a_1(0)* 8 to 2 labelled a_1(0)* 9 to 10 labelled a_1(1)* 10 to 11 labelled b_1(1)* 10 to 33 labelled a_1(2)* 11 to 12 labelled b_1(1)* 11 to 27 labelled a_1(2)* 12 to 13 labelled b_1(1)* 12 to 9 labelled a_1(1)* 13 to 14 labelled a_1(1)* 14 to 2 labelled a_1(1)* 15 to 16 labelled a_1(1)* 16 to 17 labelled b_1(1)* 17 to 18 labelled b_1(1)* 18 to 19 labelled b_1(1)* 19 to 20 labelled a_1(1)* 20 to 12 labelled a_1(1)* 21 to 22 labelled a_1(1)* 22 to 23 labelled b_1(1)* 23 to 24 labelled b_1(1)* 24 to 25 labelled b_1(1)* 25 to 26 labelled a_1(1)* 26 to 18 labelled a_1(1)* 27 to 28 labelled a_1(2)* 28 to 29 labelled b_1(2)* 29 to 30 labelled b_1(2)* 30 to 31 labelled b_1(2)* 31 to 32 labelled a_1(2)* 32 to 12 labelled a_1(2)* 33 to 34 labelled a_1(2)* 34 to 35 labelled b_1(2)* 35 to 36 labelled b_1(2)* 36 to 37 labelled b_1(2)* 37 to 38 labelled a_1(2)* 38 to 30 labelled a_1(2) 3.42/1.64 3.42/1.64 3.42/1.64 ---------------------------------------- 3.42/1.64 3.42/1.64 (2) 3.42/1.64 YES 3.42/1.66 EOF
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS_Standard 2019-03-29 03.29