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TRS Stand 20472 pair #381710803
details
property
value
status
complete
benchmark
pair2simple1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n095.star.cs.uiowa.edu
space
Endrullis_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.68507194519 seconds
cpu usage
3.655021202
max memory
1.91062016E8
stage attributes
key
value
output-size
1437
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 77 ms] (2) QTRS (3) RisEmptyProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: p(a(x0), p(a(b(x1)), x2)) -> p(a(b(a(x2))), p(a(a(x1)), x2)) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Quasi precedence: [p_2, b_1] > a_1 Status: p_2: [2,1] a_1: multiset status b_1: [1] With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: p(a(x0), p(a(b(x1)), x2)) -> p(a(b(a(x2))), p(a(a(x1)), x2)) ---------------------------------------- (2) Obligation: Q restricted rewrite system: R is empty. Q is empty. ---------------------------------------- (3) RisEmptyProof (EQUIVALENT) The TRS R is empty. Hence, termination is trivially proven. ---------------------------------------- (4) YES
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