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	n146.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	7.47298 seconds
cpu usage	24.5105
user time	23.3993
system time	1.11119
max virtual memory	1.8784004E7
max residence set size	2624748.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 147 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) QReductionProof [EQUIVALENT, 0 ms] (9) QDP (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] (11) YES (12) QDP (13) UsableRulesProof [EQUIVALENT, 0 ms] (14) QDP (15) QReductionProof [EQUIVALENT, 0 ms] (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) UsableRulesProof [EQUIVALENT, 0 ms] (21) QDP (22) QReductionProof [EQUIVALENT, 0 ms] (23) QDP (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] (25) YES (26) QDP (27) QDPOrderProof [EQUIVALENT, 428 ms] (28) QDP (29) QDPOrderProof [EQUIVALENT, 382 ms] (30) QDP (31) DependencyGraphProof [EQUIVALENT, 0 ms] (32) AND (33) QDP (34) QDPOrderProof [EQUIVALENT, 341 ms] (35) QDP (36) DependencyGraphProof [EQUIVALENT, 0 ms] (37) TRUE (38) QDP (39) UsableRulesProof [EQUIVALENT, 0 ms] (40) QDP (41) QReductionProof [EQUIVALENT, 3 ms] (42) QDP (43) QDPSizeChangeProof [EQUIVALENT, 0 ms] (44) 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) popout

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

job log

popout

actions

all output return to TRS Innermost