details

property	value
status	complete
benchmark	LengthOfFiniteLists_complete_C.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_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	55.1439 seconds
cpu usage	201.269
user time	190.966
system time	10.3029
max virtual memory	8.0765148E7
max residence set size	1.1967964E7

stage attributes

key	value
starexec-result	YES

output

181.03/50.00 YES 201.04/55.05 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 201.04/55.05 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 201.04/55.05 201.04/55.05 201.04/55.05 Termination w.r.t. Q of the given QTRS could be proven: 201.04/55.05 201.04/55.05 (0) QTRS 201.04/55.05 (1) QTRSToCSRProof [SOUND, 0 ms] 201.04/55.05 (2) CSR 201.04/55.05 (3) CSRRRRProof [EQUIVALENT, 110 ms] 201.04/55.05 (4) CSR 201.04/55.05 (5) CSRRRRProof [EQUIVALENT, 21 ms] 201.04/55.05 (6) CSR 201.04/55.05 (7) CSRRRRProof [EQUIVALENT, 6 ms] 201.04/55.05 (8) CSR 201.04/55.05 (9) CSRRRRProof [EQUIVALENT, 9 ms] 201.04/55.05 (10) CSR 201.04/55.05 (11) CSRRRRProof [EQUIVALENT, 9 ms] 201.04/55.05 (12) CSR 201.04/55.05 (13) CSRRRRProof [EQUIVALENT, 21 ms] 201.04/55.05 (14) CSR 201.04/55.05 (15) CSRRRRProof [EQUIVALENT, 40 ms] 201.04/55.05 (16) CSR 201.04/55.05 (17) Incomplete Giesl Middeldorp-Transformation [SOUND, 0 ms] 201.04/55.05 (18) QTRS 201.04/55.05 (19) DependencyPairsProof [EQUIVALENT, 0 ms] 201.04/55.05 (20) QDP 201.04/55.05 (21) DependencyGraphProof [EQUIVALENT, 0 ms] 201.04/55.05 (22) QDP 201.04/55.05 (23) QDPOrderProof [EQUIVALENT, 161 ms] 201.04/55.05 (24) QDP 201.04/55.05 (25) DependencyGraphProof [EQUIVALENT, 0 ms] 201.04/55.05 (26) AND 201.04/55.05 (27) QDP 201.04/55.05 (28) QDPOrderProof [EQUIVALENT, 25 ms] 201.04/55.05 (29) QDP 201.04/55.05 (30) DependencyGraphProof [EQUIVALENT, 0 ms] 201.04/55.05 (31) TRUE 201.04/55.05 (32) QDP 201.04/55.05 (33) QDPOrderProof [EQUIVALENT, 106 ms] 201.04/55.05 (34) QDP 201.04/55.05 (35) DependencyGraphProof [EQUIVALENT, 0 ms] 201.04/55.05 (36) QDP 201.04/55.05 (37) UsableRulesProof [EQUIVALENT, 0 ms] 201.04/55.05 (38) QDP 201.04/55.05 (39) QDPSizeChangeProof [EQUIVALENT, 0 ms] 201.04/55.05 (40) YES 201.04/55.05 201.04/55.05 201.04/55.05 ---------------------------------------- 201.04/55.05 201.04/55.05 (0) 201.04/55.05 Obligation: 201.04/55.05 Q restricted rewrite system: 201.04/55.05 The TRS R consists of the following rules: 201.04/55.05 201.04/55.05 active(zeros) -> mark(cons(0, zeros)) 201.04/55.05 active(U11(tt, V1)) -> mark(U12(isNatList(V1))) 201.04/55.05 active(U12(tt)) -> mark(tt) 201.04/55.05 active(U21(tt, V1)) -> mark(U22(isNat(V1))) 201.04/55.05 active(U22(tt)) -> mark(tt) 201.04/55.05 active(U31(tt, V)) -> mark(U32(isNatList(V))) 201.04/55.05 active(U32(tt)) -> mark(tt) 201.04/55.05 active(U41(tt, V1, V2)) -> mark(U42(isNat(V1), V2)) 201.04/55.05 active(U42(tt, V2)) -> mark(U43(isNatIList(V2))) 201.04/55.05 active(U43(tt)) -> mark(tt) 201.04/55.05 active(U51(tt, V1, V2)) -> mark(U52(isNat(V1), V2)) 201.04/55.05 active(U52(tt, V2)) -> mark(U53(isNatList(V2))) 201.04/55.05 active(U53(tt)) -> mark(tt) 201.04/55.05 active(U61(tt, L)) -> mark(s(length(L))) 201.04/55.05 active(and(tt, X)) -> mark(X) 201.04/55.05 active(isNat(0)) -> mark(tt) 201.04/55.05 active(isNat(length(V1))) -> mark(U11(isNatIListKind(V1), V1)) 201.04/55.05 active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1)) 201.04/55.05 active(isNatIList(V)) -> mark(U31(isNatIListKind(V), V)) 201.04/55.05 active(isNatIList(zeros)) -> mark(tt) 201.04/55.05 active(isNatIList(cons(V1, V2))) -> mark(U41(and(isNatKind(V1), isNatIListKind(V2)), V1, V2)) 201.04/55.05 active(isNatIListKind(nil)) -> mark(tt) 201.04/55.05 active(isNatIListKind(zeros)) -> mark(tt) 201.04/55.05 active(isNatIListKind(cons(V1, V2))) -> mark(and(isNatKind(V1), isNatIListKind(V2))) 201.04/55.05 active(isNatKind(0)) -> mark(tt) 201.04/55.05 active(isNatKind(length(V1))) -> mark(isNatIListKind(V1)) 201.04/55.05 active(isNatKind(s(V1))) -> mark(isNatKind(V1)) 201.04/55.05 active(isNatList(nil)) -> mark(tt) 201.04/55.05 active(isNatList(cons(V1, V2))) -> mark(U51(and(isNatKind(V1), isNatIListKind(V2)), V1, V2)) 201.04/55.05 active(length(nil)) -> mark(0) 201.04/55.05 active(length(cons(N, L))) -> mark(U61(and(and(isNatList(L), isNatIListKind(L)), and(isNat(N), isNatKind(N))), L)) 201.04/55.05 active(cons(X1, X2)) -> cons(active(X1), X2) 201.04/55.05 active(U11(X1, X2)) -> U11(active(X1), X2) 201.04/55.05 active(U12(X)) -> U12(active(X)) 201.04/55.05 active(U21(X1, X2)) -> U21(active(X1), X2) 201.04/55.05 active(U22(X)) -> U22(active(X)) 201.04/55.05 active(U31(X1, X2)) -> U31(active(X1), X2) 201.04/55.05 active(U32(X)) -> U32(active(X)) 201.04/55.05 active(U41(X1, X2, X3)) -> U41(active(X1), X2, X3) 201.04/55.05 active(U42(X1, X2)) -> U42(active(X1), X2) 201.04/55.05 active(U43(X)) -> U43(active(X)) 201.04/55.05 active(U51(X1, X2, X3)) -> U51(active(X1), X2, X3) 201.04/55.05 active(U52(X1, X2)) -> U52(active(X1), X2) 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