details

property	value
status	complete
benchmark	Ex4_DLMMU04.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n091.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.23071 seconds
cpu usage	5.8099
user time	5.56877
system time	0.241131
max virtual memory	1.8541216E7
max residence set size	463296.0

stage attributes

key	value
starexec-result	YES

output

5.46/2.19 YES 5.46/2.20 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 5.46/2.20 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.46/2.20 5.46/2.20 5.46/2.20 Termination of the given CSR could be proven: 5.46/2.20 5.46/2.20 (0) CSR 5.46/2.20 (1) CSRRRRProof [EQUIVALENT, 57 ms] 5.46/2.20 (2) CSR 5.46/2.20 (3) CSRRRRProof [EQUIVALENT, 1 ms] 5.46/2.20 (4) CSR 5.46/2.20 (5) CSDependencyPairsProof [EQUIVALENT, 0 ms] 5.46/2.20 (6) QCSDP 5.46/2.20 (7) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 5.46/2.20 (8) AND 5.46/2.20 (9) QCSDP 5.46/2.20 (10) QCSUsableRulesProof [EQUIVALENT, 0 ms] 5.46/2.20 (11) QCSDP 5.46/2.20 (12) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms] 5.46/2.20 (13) QCSDP 5.46/2.20 (14) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 5.46/2.20 (15) AND 5.46/2.20 (16) QCSDP 5.46/2.20 (17) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms] 5.46/2.20 (18) QCSDP 5.46/2.20 (19) PIsEmptyProof [EQUIVALENT, 0 ms] 5.46/2.20 (20) YES 5.46/2.20 (21) QCSDP 5.46/2.20 (22) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms] 5.46/2.20 (23) QCSDP 5.46/2.20 (24) PIsEmptyProof [EQUIVALENT, 0 ms] 5.46/2.20 (25) YES 5.46/2.20 (26) QCSDP 5.46/2.20 (27) QCSDPSubtermProof [EQUIVALENT, 0 ms] 5.46/2.20 (28) QCSDP 5.46/2.20 (29) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 5.46/2.20 (30) TRUE 5.46/2.20 (31) QCSDP 5.46/2.20 (32) QCSDPReductionPairProof [EQUIVALENT, 75 ms] 5.46/2.20 (33) QCSDP 5.46/2.20 (34) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 5.46/2.20 (35) TRUE 5.46/2.20 5.46/2.20 5.46/2.20 ---------------------------------------- 5.46/2.20 5.46/2.20 (0) 5.46/2.20 Obligation: 5.46/2.20 Context-sensitive rewrite system: 5.46/2.20 The TRS R consists of the following rules: 5.46/2.20 5.46/2.20 and(tt, T) -> T 5.46/2.20 isNatIList(IL) -> isNatList(IL) 5.46/2.20 isNat(0) -> tt 5.46/2.20 isNat(s(N)) -> isNat(N) 5.46/2.20 isNat(length(L)) -> isNatList(L) 5.46/2.20 isNatIList(zeros) -> tt 5.46/2.20 isNatIList(cons(N, IL)) -> and(isNat(N), isNatIList(IL)) 5.46/2.20 isNatList(nil) -> tt 5.46/2.20 isNatList(cons(N, L)) -> and(isNat(N), isNatList(L)) 5.46/2.20 isNatList(take(N, IL)) -> and(isNat(N), isNatIList(IL)) 5.46/2.20 zeros -> cons(0, zeros) 5.46/2.20 take(0, IL) -> uTake1(isNatIList(IL)) 5.46/2.20 uTake1(tt) -> nil 5.46/2.20 take(s(M), cons(N, IL)) -> uTake2(and(isNat(M), and(isNat(N), isNatIList(IL))), M, N, IL) 5.46/2.20 uTake2(tt, M, N, IL) -> cons(N, take(M, IL)) 5.46/2.20 length(cons(N, L)) -> uLength(and(isNat(N), isNatList(L)), L) 5.46/2.20 uLength(tt, L) -> s(length(L)) 5.46/2.20 5.46/2.20 The replacement map contains the following entries: 5.46/2.20 5.46/2.20 and: {1, 2} 5.46/2.20 tt: empty set 5.46/2.20 isNatIList: empty set 5.46/2.20 isNatList: empty set 5.46/2.20 isNat: empty set 5.46/2.20 0: empty set 5.46/2.20 s: {1} 5.46/2.20 length: {1} 5.46/2.20 zeros: empty set 5.46/2.20 cons: {1} 5.46/2.20 nil: empty set 5.46/2.20 take: {1, 2} 5.46/2.20 uTake1: {1} 5.46/2.20 uTake2: {1} 5.46/2.20 uLength: {1} 5.46/2.20 5.46/2.20 ---------------------------------------- 5.46/2.20 5.46/2.20 (1) CSRRRRProof (EQUIVALENT) 5.46/2.20 The following CSR is given: Context-sensitive rewrite system: 5.46/2.20 The TRS R consists of the following rules: 5.46/2.20 5.46/2.20 and(tt, T) -> T 5.46/2.20 isNatIList(IL) -> isNatList(IL) 5.46/2.20 isNat(0) -> tt 5.46/2.20 isNat(s(N)) -> isNat(N) 5.46/2.20 isNat(length(L)) -> isNatList(L) 5.46/2.20 isNatIList(zeros) -> tt popout

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all output return to TRS_Contextsensitive 2019-03-21 05.07