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TRS Stand 20472 pair #381716982
details
property
value
status
complete
benchmark
Ex5_DLMMU04_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n013.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
10.2392818928 seconds
cpu usage
25.618508493
max memory
1.985368064E9
stage attributes
key
value
output-size
41279
starexec-result
NO
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 123 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 43 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 23 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 23 ms] (8) QTRS (9) DependencyPairsProof [EQUIVALENT, 33 ms] (10) QDP (11) DependencyGraphProof [EQUIVALENT, 0 ms] (12) QDP (13) MRRProof [EQUIVALENT, 34 ms] (14) QDP (15) MRRProof [EQUIVALENT, 31 ms] (16) QDP (17) MRRProof [EQUIVALENT, 0 ms] (18) QDP (19) DependencyGraphProof [EQUIVALENT, 0 ms] (20) QDP (21) TransformationProof [EQUIVALENT, 0 ms] (22) QDP (23) QDPOrderProof [EQUIVALENT, 128 ms] (24) QDP (25) TransformationProof [EQUIVALENT, 0 ms] (26) QDP (27) MRRProof [EQUIVALENT, 21 ms] (28) QDP (29) MRRProof [EQUIVALENT, 18 ms] (30) QDP (31) MRRProof [EQUIVALENT, 0 ms] (32) QDP (33) NonTerminationLoopProof [COMPLETE, 51 ms] (34) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: pairNs -> cons(0, n__incr(n__oddNs)) oddNs -> incr(pairNs) incr(cons(X, XS)) -> cons(s(X), n__incr(activate(XS))) take(0, XS) -> nil take(s(N), cons(X, XS)) -> cons(X, n__take(N, activate(XS))) zip(nil, XS) -> nil zip(X, nil) -> nil zip(cons(X, XS), cons(Y, YS)) -> cons(pair(X, Y), n__zip(activate(XS), activate(YS))) tail(cons(X, XS)) -> activate(XS) repItems(nil) -> nil repItems(cons(X, XS)) -> cons(X, n__cons(X, n__repItems(activate(XS)))) incr(X) -> n__incr(X) oddNs -> n__oddNs take(X1, X2) -> n__take(X1, X2) zip(X1, X2) -> n__zip(X1, X2) cons(X1, X2) -> n__cons(X1, X2) repItems(X) -> n__repItems(X) activate(n__incr(X)) -> incr(activate(X)) activate(n__oddNs) -> oddNs activate(n__take(X1, X2)) -> take(activate(X1), activate(X2)) activate(n__zip(X1, X2)) -> zip(activate(X1), activate(X2)) activate(n__cons(X1, X2)) -> cons(activate(X1), X2) activate(n__repItems(X)) -> repItems(activate(X)) activate(X) -> X Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0) = 0 POL(activate(x_1)) = x_1 POL(cons(x_1, x_2)) = x_1 + x_2 POL(incr(x_1)) = 2*x_1 POL(n__cons(x_1, x_2)) = x_1 + x_2 POL(n__incr(x_1)) = 2*x_1 POL(n__oddNs) = 0 POL(n__repItems(x_1)) = 2*x_1 POL(n__take(x_1, x_2)) = 2*x_1 + 2*x_2 POL(n__zip(x_1, x_2)) = x_1 + x_2
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