details

property	value
status	complete
benchmark	LengthOfFiniteLists_complete-noand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n176.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.18895 seconds
cpu usage	9.14855
user time	8.78037
system time	0.368188
max virtual memory	5.5196416E7
max residence set size	795936.0

stage attributes

key	value
starexec-result	YES

output

8.98/3.12 YES 9.02/3.15 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 9.02/3.15 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.02/3.15 9.02/3.15 9.02/3.15 Termination of the given CSR could be proven: 9.02/3.15 9.02/3.15 (0) CSR 9.02/3.15 (1) CSRRRRProof [EQUIVALENT, 126 ms] 9.02/3.15 (2) CSR 9.02/3.15 (3) CSRRRRProof [EQUIVALENT, 27 ms] 9.02/3.15 (4) CSR 9.02/3.15 (5) CSRRRRProof [EQUIVALENT, 21 ms] 9.02/3.15 (6) CSR 9.02/3.15 (7) CSRRRRProof [EQUIVALENT, 0 ms] 9.02/3.15 (8) CSR 9.02/3.15 (9) CSRRRRProof [EQUIVALENT, 4 ms] 9.02/3.15 (10) CSR 9.02/3.15 (11) CSRRRRProof [EQUIVALENT, 17 ms] 9.02/3.15 (12) CSR 9.02/3.15 (13) CSRRRRProof [EQUIVALENT, 19 ms] 9.02/3.15 (14) CSR 9.02/3.15 (15) CSRRRRProof [EQUIVALENT, 13 ms] 9.02/3.15 (16) CSR 9.02/3.15 (17) CSRRRRProof [EQUIVALENT, 20 ms] 9.02/3.15 (18) CSR 9.02/3.15 (19) CSDependencyPairsProof [EQUIVALENT, 0 ms] 9.02/3.15 (20) QCSDP 9.02/3.15 (21) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 9.02/3.15 (22) AND 9.02/3.15 (23) QCSDP 9.02/3.15 (24) QCSUsableRulesProof [EQUIVALENT, 0 ms] 9.02/3.15 (25) QCSDP 9.02/3.15 (26) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms] 9.02/3.15 (27) QCSDP 9.02/3.15 (28) QCSDPSubtermProof [EQUIVALENT, 0 ms] 9.02/3.15 (29) QCSDP 9.02/3.15 (30) PIsEmptyProof [EQUIVALENT, 0 ms] 9.02/3.15 (31) YES 9.02/3.15 (32) QCSDP 9.02/3.15 (33) QCSDPSubtermProof [EQUIVALENT, 0 ms] 9.02/3.15 (34) QCSDP 9.02/3.15 (35) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 9.02/3.15 (36) TRUE 9.02/3.15 (37) QCSDP 9.02/3.15 (38) QCSUsableRulesProof [EQUIVALENT, 0 ms] 9.02/3.15 (39) QCSDP 9.02/3.15 (40) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms] 9.02/3.15 (41) QCSDP 9.02/3.15 (42) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 9.02/3.15 (43) TRUE 9.02/3.15 (44) QCSDP 9.02/3.15 (45) QCSDPReductionPairProof [EQUIVALENT, 24 ms] 9.02/3.15 (46) QCSDP 9.02/3.15 (47) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 9.02/3.15 (48) TRUE 9.02/3.15 (49) QCSDP 9.02/3.15 (50) QCSUsableRulesProof [EQUIVALENT, 0 ms] 9.02/3.15 (51) QCSDP 9.02/3.15 (52) QCSDPMuMonotonicPoloProof [EQUIVALENT, 11 ms] 9.02/3.15 (53) QCSDP 9.02/3.15 (54) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 9.02/3.15 (55) TRUE 9.02/3.15 9.02/3.15 9.02/3.15 ---------------------------------------- 9.02/3.15 9.02/3.15 (0) 9.02/3.15 Obligation: 9.02/3.15 Context-sensitive rewrite system: 9.02/3.15 The TRS R consists of the following rules: 9.02/3.15 9.02/3.15 zeros -> cons(0, zeros) 9.02/3.15 U11(tt, V1) -> U12(isNatIListKind(V1), V1) 9.02/3.15 U12(tt, V1) -> U13(isNatList(V1)) 9.02/3.15 U13(tt) -> tt 9.02/3.15 U21(tt, V1) -> U22(isNatKind(V1), V1) 9.02/3.15 U22(tt, V1) -> U23(isNat(V1)) 9.02/3.15 U23(tt) -> tt 9.02/3.15 U31(tt, V) -> U32(isNatIListKind(V), V) 9.02/3.15 U32(tt, V) -> U33(isNatList(V)) 9.02/3.15 U33(tt) -> tt 9.02/3.15 U41(tt, V1, V2) -> U42(isNatKind(V1), V1, V2) 9.02/3.15 U42(tt, V1, V2) -> U43(isNatIListKind(V2), V1, V2) 9.02/3.15 U43(tt, V1, V2) -> U44(isNatIListKind(V2), V1, V2) 9.02/3.15 U44(tt, V1, V2) -> U45(isNat(V1), V2) 9.02/3.15 U45(tt, V2) -> U46(isNatIList(V2)) 9.02/3.15 U46(tt) -> tt 9.02/3.15 U51(tt, V2) -> U52(isNatIListKind(V2)) 9.02/3.15 U52(tt) -> tt 9.02/3.15 U61(tt) -> tt 9.02/3.15 U71(tt) -> tt 9.02/3.15 U81(tt, V1, V2) -> U82(isNatKind(V1), V1, V2) 9.02/3.15 U82(tt, V1, V2) -> U83(isNatIListKind(V2), V1, V2) 9.02/3.15 U83(tt, V1, V2) -> U84(isNatIListKind(V2), V1, V2) 9.02/3.15 U84(tt, V1, V2) -> U85(isNat(V1), V2) 9.02/3.15 U85(tt, V2) -> U86(isNatList(V2)) 9.02/3.15 U86(tt) -> tt 9.02/3.15 U91(tt, L, N) -> U92(isNatIListKind(L), L, N) 9.02/3.15 U92(tt, L, N) -> U93(isNat(N), L, N) popout

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actions

all output return to TRS_Contextsensitive 2019-03-21 05.07