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TRS Standard pair #516961720
details
property
value
status
complete
benchmark
Ex25_Luc06_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n167.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
4.9300699234 seconds
cpu usage
16.232398882
max memory
1.276706816E9
stage attributes
key
value
output-size
10319
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 27 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 19 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) AND (9) QDP (10) UsableRulesProof [EQUIVALENT, 1 ms] (11) QDP (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] (13) YES (14) QDP (15) UsableRulesProof [EQUIVALENT, 1 ms] (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) QDPOrderProof [EQUIVALENT, 25 ms] (21) QDP (22) UsableRulesProof [EQUIVALENT, 0 ms] (23) QDP (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] (25) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(f(X)) -> c(n__f(n__g(n__f(X)))) c(X) -> d(activate(X)) h(X) -> c(n__d(X)) f(X) -> n__f(X) g(X) -> n__g(X) d(X) -> n__d(X) activate(n__f(X)) -> f(activate(X)) activate(n__g(X)) -> g(X) activate(n__d(X)) -> d(X) activate(X) -> X 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: f(f(X)) -> n__f(n__g(n__f(c(X)))) c(X) -> activate(d(X)) h(X) -> n__d(c(X)) f(X) -> n__f(X) g(X) -> n__g(X) d(X) -> n__d(X) n__f(activate(X)) -> activate(f(X)) n__g(activate(X)) -> g(X) n__d(activate(X)) -> d(X) activate(X) -> X Q is empty. ---------------------------------------- (3) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(activate(x_1)) = x_1 POL(c(x_1)) = x_1 POL(d(x_1)) = x_1 POL(f(x_1)) = x_1 POL(g(x_1)) = x_1 POL(h(x_1)) = 1 + x_1 POL(n__d(x_1)) = x_1 POL(n__f(x_1)) = x_1 POL(n__g(x_1)) = x_1
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