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TRS Standard pair #487069878
details
property
value
status
complete
benchmark
Ex6_GM04_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n185.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.95918 seconds
cpu usage
8.21656
user time
7.83062
system time
0.385941
max virtual memory
7.837186E7
max residence set size
876724.0
stage attributes
key
value
starexec-result
NO
output
NO 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 41 ms] (2) QTRS (3) Overlay + Local Confluence [EQUIVALENT, 0 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 10 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 1 ms] (8) QDP (9) UsableRulesProof [EQUIVALENT, 0 ms] (10) QDP (11) QReductionProof [EQUIVALENT, 0 ms] (12) QDP (13) NonTerminationLoopProof [COMPLETE, 0 ms] (14) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: c -> f(n__g(n__c)) f(n__g(X)) -> g(activate(X)) g(X) -> n__g(X) c -> n__c activate(n__g(X)) -> g(X) activate(n__c) -> c activate(X) -> X Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(activate(x_1)) = 1 + x_1 POL(c) = 1 POL(f(x_1)) = 1 + x_1 POL(g(x_1)) = x_1 POL(n__c) = 0 POL(n__g(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: c -> n__c activate(n__g(X)) -> g(X) activate(X) -> X ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: c -> f(n__g(n__c)) f(n__g(X)) -> g(activate(X)) g(X) -> n__g(X) activate(n__c) -> c Q is empty. ---------------------------------------- (3) Overlay + Local Confluence (EQUIVALENT) The TRS is overlay and locally confluent. By [NOC] we can switch to innermost. ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: c -> f(n__g(n__c)) f(n__g(X)) -> g(activate(X)) g(X) -> n__g(X) activate(n__c) -> c The set Q consists of the following terms: c f(n__g(x0)) g(x0) activate(n__c)
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