details

property	value
status	complete
benchmark	LengthOfFiniteLists_complete_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n074.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.66229 seconds
cpu usage	20.9017
user time	20.1033
system time	0.798412
max virtual memory	1.8625904E7
max residence set size	1408904.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 81 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPOrderProof [EQUIVALENT, 461 ms] (18) QDP (19) QDPOrderProof [EQUIVALENT, 346 ms] (20) QDP (21) DependencyGraphProof [EQUIVALENT, 0 ms] (22) AND (23) QDP (24) QDPOrderProof [EQUIVALENT, 297 ms] (25) QDP (26) DependencyGraphProof [EQUIVALENT, 0 ms] (27) TRUE (28) QDP (29) UsableRulesProof [EQUIVALENT, 0 ms] (30) QDP (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] (32) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__zeros -> cons(0, zeros) a__U11(tt, V1) -> a__U12(a__isNatIListKind(V1), V1) a__U12(tt, V1) -> a__U13(a__isNatList(V1)) a__U13(tt) -> tt a__U21(tt, V1) -> a__U22(a__isNatKind(V1), V1) a__U22(tt, V1) -> a__U23(a__isNat(V1)) a__U23(tt) -> tt a__U31(tt, V) -> a__U32(a__isNatIListKind(V), V) a__U32(tt, V) -> a__U33(a__isNatList(V)) a__U33(tt) -> tt a__U41(tt, V1, V2) -> a__U42(a__isNatKind(V1), V1, V2) a__U42(tt, V1, V2) -> a__U43(a__isNatIListKind(V2), V1, V2) a__U43(tt, V1, V2) -> a__U44(a__isNatIListKind(V2), V1, V2) a__U44(tt, V1, V2) -> a__U45(a__isNat(V1), V2) a__U45(tt, V2) -> a__U46(a__isNatIList(V2)) a__U46(tt) -> tt a__U51(tt, V2) -> a__U52(a__isNatIListKind(V2)) a__U52(tt) -> tt a__U61(tt) -> tt a__U71(tt) -> tt a__U81(tt, V1, V2) -> a__U82(a__isNatKind(V1), V1, V2) a__U82(tt, V1, V2) -> a__U83(a__isNatIListKind(V2), V1, V2) a__U83(tt, V1, V2) -> a__U84(a__isNatIListKind(V2), V1, V2) a__U84(tt, V1, V2) -> a__U85(a__isNat(V1), V2) a__U85(tt, V2) -> a__U86(a__isNatList(V2)) a__U86(tt) -> tt a__U91(tt, L, N) -> a__U92(a__isNatIListKind(L), L, N) a__U92(tt, L, N) -> a__U93(a__isNat(N), L, N) a__U93(tt, L, N) -> a__U94(a__isNatKind(N), L) a__U94(tt, L) -> s(a__length(mark(L))) a__isNat(0) -> tt a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1), V1) a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1) a__isNatIList(V) -> a__U31(a__isNatIListKind(V), V) a__isNatIList(zeros) -> tt a__isNatIList(cons(V1, V2)) -> a__U41(a__isNatKind(V1), V1, V2) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(V1, V2)) -> a__U51(a__isNatKind(V1), V2) a__isNatKind(0) -> tt a__isNatKind(length(V1)) -> a__U61(a__isNatIListKind(V1)) a__isNatKind(s(V1)) -> a__U71(a__isNatKind(V1)) a__isNatList(nil) -> tt a__isNatList(cons(V1, V2)) -> a__U81(a__isNatKind(V1), V1, V2) a__length(nil) -> 0 a__length(cons(N, L)) -> a__U91(a__isNatList(L), L, N) mark(zeros) -> a__zeros mark(U11(X1, X2)) -> a__U11(mark(X1), X2) mark(U12(X1, X2)) -> a__U12(mark(X1), X2) mark(isNatIListKind(X)) -> a__isNatIListKind(X) mark(U13(X)) -> a__U13(mark(X)) popout

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

job log

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actions

all output return to TRS Standard