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SRS Standard pair #487512521
details
property
value
status
complete
benchmark
size-12-alpha-3-num-74.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.07104110718 seconds
cpu usage
24.787492112
max memory
3.630051328E9
stage attributes
key
value
output-size
25893
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) FlatCCProof [EQUIVALENT, 0 ms] (4) QTRS (5) RootLabelingProof [EQUIVALENT, 2 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 34 ms] (8) QTRS (9) DependencyPairsProof [EQUIVALENT, 17 ms] (10) QDP (11) DependencyGraphProof [EQUIVALENT, 0 ms] (12) QDP (13) QDPOrderProof [EQUIVALENT, 31 ms] (14) QDP (15) DependencyGraphProof [EQUIVALENT, 0 ms] (16) AND (17) QDP (18) UsableRulesProof [EQUIVALENT, 2 ms] (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES (22) QDP (23) UsableRulesProof [EQUIVALENT, 1 ms] (24) QDP (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] (26) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> c(x1) b(c(x1)) -> c(b(a(x1))) c(x1) -> 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(x1) -> x1 a(a(x1)) -> b(x1) b(x1) -> c(x1) c(b(x1)) -> a(b(c(x1))) c(x1) -> x1 Q is empty. ---------------------------------------- (3) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB] As Q is empty the flat context closure was sound AND complete. ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(x1)) -> a(x1) b(a(x1)) -> b(x1) c(a(x1)) -> c(x1) a(a(a(x1))) -> a(b(x1)) b(a(a(x1))) -> b(b(x1)) c(a(a(x1))) -> c(b(x1)) a(b(x1)) -> a(c(x1)) b(b(x1)) -> b(c(x1)) c(b(x1)) -> c(c(x1)) a(c(b(x1))) -> a(a(b(c(x1)))) b(c(b(x1))) -> b(a(b(c(x1))))
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