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	n065.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	8.11968 seconds
cpu usage	26.8588
user time	25.7615
system time	1.09736
max virtual memory	3.710604E7
max residence set size	2774144.0

stage attributes

key	value
starexec-result	YES

output

26.13/8.00 YES 26.57/8.02 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 26.57/8.02 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 26.57/8.02 26.57/8.02 26.57/8.02 Termination w.r.t. Q of the given QTRS could be proven: 26.57/8.02 26.57/8.02 (0) QTRS 26.57/8.02 (1) DependencyPairsProof [EQUIVALENT, 215 ms] 26.57/8.02 (2) QDP 26.57/8.02 (3) DependencyGraphProof [EQUIVALENT, 0 ms] 26.57/8.02 (4) AND 26.57/8.02 (5) QDP 26.57/8.02 (6) UsableRulesProof [EQUIVALENT, 0 ms] 26.57/8.02 (7) QDP 26.57/8.02 (8) QReductionProof [EQUIVALENT, 0 ms] 26.57/8.02 (9) QDP 26.57/8.02 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.57/8.02 (11) YES 26.57/8.02 (12) QDP 26.57/8.02 (13) UsableRulesProof [EQUIVALENT, 0 ms] 26.57/8.02 (14) QDP 26.57/8.02 (15) QReductionProof [EQUIVALENT, 0 ms] 26.57/8.02 (16) QDP 26.57/8.02 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.57/8.02 (18) YES 26.57/8.02 (19) QDP 26.57/8.02 (20) UsableRulesProof [EQUIVALENT, 0 ms] 26.57/8.02 (21) QDP 26.57/8.02 (22) QReductionProof [EQUIVALENT, 0 ms] 26.57/8.02 (23) QDP 26.57/8.02 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.57/8.02 (25) YES 26.57/8.02 (26) QDP 26.57/8.02 (27) QDPOrderProof [EQUIVALENT, 530 ms] 26.57/8.02 (28) QDP 26.57/8.02 (29) QDPOrderProof [EQUIVALENT, 437 ms] 26.57/8.02 (30) QDP 26.57/8.02 (31) DependencyGraphProof [EQUIVALENT, 0 ms] 26.57/8.02 (32) AND 26.57/8.02 (33) QDP 26.57/8.02 (34) QDPOrderProof [EQUIVALENT, 277 ms] 26.57/8.02 (35) QDP 26.57/8.02 (36) DependencyGraphProof [EQUIVALENT, 0 ms] 26.57/8.02 (37) TRUE 26.57/8.02 (38) QDP 26.57/8.02 (39) UsableRulesProof [EQUIVALENT, 0 ms] 26.57/8.02 (40) QDP 26.57/8.02 (41) QReductionProof [EQUIVALENT, 0 ms] 26.57/8.02 (42) QDP 26.57/8.02 (43) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.57/8.02 (44) YES 26.57/8.02 26.57/8.02 26.57/8.02 ---------------------------------------- 26.57/8.02 26.57/8.02 (0) 26.57/8.02 Obligation: 26.57/8.02 Q restricted rewrite system: 26.57/8.02 The TRS R consists of the following rules: 26.57/8.02 26.57/8.02 a__zeros -> cons(0, zeros) 26.57/8.02 a__U11(tt, V1) -> a__U12(a__isNatIListKind(V1), V1) 26.57/8.02 a__U12(tt, V1) -> a__U13(a__isNatList(V1)) 26.57/8.02 a__U13(tt) -> tt 26.57/8.02 a__U21(tt, V1) -> a__U22(a__isNatKind(V1), V1) 26.57/8.02 a__U22(tt, V1) -> a__U23(a__isNat(V1)) 26.57/8.02 a__U23(tt) -> tt 26.57/8.02 a__U31(tt, V) -> a__U32(a__isNatIListKind(V), V) 26.57/8.02 a__U32(tt, V) -> a__U33(a__isNatList(V)) 26.57/8.02 a__U33(tt) -> tt 26.57/8.02 a__U41(tt, V1, V2) -> a__U42(a__isNatKind(V1), V1, V2) 26.57/8.02 a__U42(tt, V1, V2) -> a__U43(a__isNatIListKind(V2), V1, V2) 26.57/8.02 a__U43(tt, V1, V2) -> a__U44(a__isNatIListKind(V2), V1, V2) 26.57/8.02 a__U44(tt, V1, V2) -> a__U45(a__isNat(V1), V2) 26.57/8.02 a__U45(tt, V2) -> a__U46(a__isNatIList(V2)) 26.57/8.02 a__U46(tt) -> tt 26.57/8.02 a__U51(tt, V2) -> a__U52(a__isNatIListKind(V2)) 26.57/8.02 a__U52(tt) -> tt 26.57/8.02 a__U61(tt) -> tt 26.57/8.02 a__U71(tt) -> tt 26.57/8.02 a__U81(tt, V1, V2) -> a__U82(a__isNatKind(V1), V1, V2) 26.57/8.02 a__U82(tt, V1, V2) -> a__U83(a__isNatIListKind(V2), V1, V2) 26.57/8.02 a__U83(tt, V1, V2) -> a__U84(a__isNatIListKind(V2), V1, V2) 26.57/8.02 a__U84(tt, V1, V2) -> a__U85(a__isNat(V1), V2) 26.57/8.02 a__U85(tt, V2) -> a__U86(a__isNatList(V2)) 26.57/8.02 a__U86(tt) -> tt 26.57/8.02 a__U91(tt, L, N) -> a__U92(a__isNatIListKind(L), L, N) 26.57/8.02 a__U92(tt, L, N) -> a__U93(a__isNat(N), L, N) 26.57/8.02 a__U93(tt, L, N) -> a__U94(a__isNatKind(N), L) 26.57/8.02 a__U94(tt, L) -> s(a__length(mark(L))) 26.57/8.02 a__isNat(0) -> tt 26.57/8.02 a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1), V1) 26.57/8.02 a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1) 26.57/8.02 a__isNatIList(V) -> a__U31(a__isNatIListKind(V), V) 26.57/8.02 a__isNatIList(zeros) -> tt 26.57/8.02 a__isNatIList(cons(V1, V2)) -> a__U41(a__isNatKind(V1), V1, V2) 26.57/8.02 a__isNatIListKind(nil) -> tt 26.57/8.02 a__isNatIListKind(zeros) -> tt 26.57/8.02 a__isNatIListKind(cons(V1, V2)) -> a__U51(a__isNatKind(V1), V2) popout

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

job log

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actions

all output return to TRS_Innermost 2019-03-28 22.12