details

property	value
status	complete
benchmark	OvConsOS_nokinds_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n190.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.48837 seconds
cpu usage	13.0488
user time	12.4448
system time	0.603993
max virtual memory	3.6442028E7
max residence set size	1097576.0

stage attributes

key	value
starexec-result	YES

output

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 0 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 4 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPOrderProof [EQUIVALENT, 292 ms] (12) QDP (13) DependencyGraphProof [EQUIVALENT, 0 ms] (14) AND (15) QDP (16) QDPOrderProof [EQUIVALENT, 166 ms] (17) QDP (18) DependencyGraphProof [EQUIVALENT, 0 ms] (19) QDP (20) UsableRulesProof [EQUIVALENT, 0 ms] (21) QDP (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] (23) YES (24) QDP (25) QDPOrderProof [EQUIVALENT, 132 ms] (26) QDP (27) DependencyGraphProof [EQUIVALENT, 0 ms] (28) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__zeros -> cons(0, zeros) a__U11(tt) -> tt a__U21(tt) -> tt a__U31(tt) -> tt a__U41(tt, V2) -> a__U42(a__isNatIList(V2)) a__U42(tt) -> tt a__U51(tt, V2) -> a__U52(a__isNatList(V2)) a__U52(tt) -> tt a__U61(tt, V2) -> a__U62(a__isNatIList(V2)) a__U62(tt) -> tt a__U71(tt, L, N) -> a__U72(a__isNat(N), L) a__U72(tt, L) -> s(a__length(mark(L))) a__U81(tt) -> nil a__U91(tt, IL, M, N) -> a__U92(a__isNat(M), IL, M, N) a__U92(tt, IL, M, N) -> a__U93(a__isNat(N), IL, M, N) a__U93(tt, IL, M, N) -> cons(mark(N), take(M, IL)) a__isNat(0) -> tt a__isNat(length(V1)) -> a__U11(a__isNatList(V1)) a__isNat(s(V1)) -> a__U21(a__isNat(V1)) a__isNatIList(V) -> a__U31(a__isNatList(V)) a__isNatIList(zeros) -> tt a__isNatIList(cons(V1, V2)) -> a__U41(a__isNat(V1), V2) a__isNatList(nil) -> tt a__isNatList(cons(V1, V2)) -> a__U51(a__isNat(V1), V2) a__isNatList(take(V1, V2)) -> a__U61(a__isNat(V1), V2) a__length(nil) -> 0 a__length(cons(N, L)) -> a__U71(a__isNatList(L), L, N) a__take(0, IL) -> a__U81(a__isNatIList(IL)) a__take(s(M), cons(N, IL)) -> a__U91(a__isNatIList(IL), IL, M, N) mark(zeros) -> a__zeros mark(U11(X)) -> a__U11(mark(X)) mark(U21(X)) -> a__U21(mark(X)) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1, X2)) -> a__U41(mark(X1), X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNatIList(X)) -> a__isNatIList(X) mark(U51(X1, X2)) -> a__U51(mark(X1), X2) mark(U52(X)) -> a__U52(mark(X)) mark(isNatList(X)) -> a__isNatList(X) mark(U61(X1, X2)) -> a__U61(mark(X1), X2) mark(U62(X)) -> a__U62(mark(X)) mark(U71(X1, X2, X3)) -> a__U71(mark(X1), X2, X3) mark(U72(X1, X2)) -> a__U72(mark(X1), X2) mark(isNat(X)) -> a__isNat(X) mark(length(X)) -> a__length(mark(X)) mark(U81(X)) -> a__U81(mark(X)) mark(U91(X1, X2, X3, X4)) -> a__U91(mark(X1), X2, X3, X4) mark(U92(X1, X2, X3, X4)) -> a__U92(mark(X1), X2, X3, X4) mark(U93(X1, X2, X3, X4)) -> a__U93(mark(X1), X2, X3, X4) mark(take(X1, X2)) -> a__take(mark(X1), mark(X2)) mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(0) -> 0 mark(tt) -> tt mark(s(X)) -> s(mark(X)) mark(nil) -> nil popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Standard