Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Standard pair #487519967
details
property
value
status
complete
benchmark
z032.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n005.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.12402701378 seconds
cpu usage
3.714182999
max memory
2.59842048E8
stage attributes
key
value
output-size
2619
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(a(b(a(a(x1))))) -> a(a(b(b(a(b(a(b(a(x1))))))))) Q is empty. ---------------------------------------- (1) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(b(a(b(x1))))) -> a(b(a(b(a(b(b(a(a(x1))))))))) Q is empty. ---------------------------------------- (3) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. The following rules were used to construct the certificate: a(a(b(a(b(x1))))) -> a(b(a(b(a(b(b(a(a(x1))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 5, 6, 22, 23, 24, 25, 26, 27, 28, 29, 46, 47, 48, 49, 50, 51, 52, 53, 70, 71, 72, 73, 74, 75, 76, 77 Node 5 is start node and node 6 is final node. Those nodes are connected through the following edges: * 5 to 22 labelled a_1(0)* 6 to 6 labelled #_1(0)* 22 to 23 labelled b_1(0)* 23 to 24 labelled a_1(0)* 24 to 25 labelled b_1(0)* 25 to 26 labelled a_1(0)* 26 to 27 labelled b_1(0)* 27 to 28 labelled b_1(0)* 28 to 29 labelled a_1(0)* 28 to 46 labelled a_1(1)* 29 to 6 labelled a_1(0)* 29 to 46 labelled a_1(1)* 46 to 47 labelled b_1(1)* 47 to 48 labelled a_1(1)* 48 to 49 labelled b_1(1)* 49 to 50 labelled a_1(1)* 50 to 51 labelled b_1(1)* 51 to 52 labelled b_1(1)* 52 to 53 labelled a_1(1)* 52 to 46 labelled a_1(1)* 52 to 70 labelled a_1(2)* 53 to 6 labelled a_1(1)* 53 to 46 labelled a_1(1)* 53 to 49 labelled a_1(1)* 70 to 71 labelled b_1(2)* 71 to 72 labelled a_1(2)* 72 to 73 labelled b_1(2)* 73 to 74 labelled a_1(2)* 74 to 75 labelled b_1(2)* 75 to 76 labelled b_1(2)* 76 to 77 labelled a_1(2)* 77 to 49 labelled a_1(2) ---------------------------------------- (4) YES
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS Standard