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SRS Stand 10685 pair #381720200
details
property
value
status
complete
benchmark
z006.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n039.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.79530787468 seconds
cpu usage
4.139143642
max memory
2.28540416E8
stage attributes
key
value
output-size
1871
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 17 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(x1)) -> b(a(x1)) b(a(x1)) -> a(c(b(x1))) Q is empty. ---------------------------------------- (1) 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(b(x1)) -> b(a(x1)) b(a(x1)) -> a(c(b(x1))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 5, 6, 7, 8, 9, 10, 11, 12 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 5 labelled b_1(0)* 1 to 6 labelled a_1(0)* 1 to 8 labelled a_1(1)* 2 to 2 labelled #_1(0)* 5 to 2 labelled a_1(0)* 5 to 10 labelled b_1(1)* 5 to 11 labelled a_1(2)* 6 to 7 labelled c_1(0)* 7 to 2 labelled b_1(0)* 7 to 8 labelled a_1(1)* 8 to 9 labelled c_1(1)* 9 to 2 labelled b_1(1)* 9 to 8 labelled a_1(1)* 9 to 11 labelled b_1(1)* 10 to 2 labelled a_1(1)* 10 to 10 labelled b_1(1)* 10 to 11 labelled a_1(2)* 11 to 12 labelled c_1(2)* 12 to 2 labelled b_1(2)* 12 to 8 labelled a_1(1)* 12 to 11 labelled b_1(2) ---------------------------------------- (2) YES
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