details

property	value
status	complete
benchmark	MYNAT_complete-noand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.01454 seconds
cpu usage	5.65686
user time	5.41068
system time	0.246178
max virtual memory	1.840914E7
max residence set size	449012.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSDependencyPairsProof [EQUIVALENT, 74 ms] (2) QCSDP (3) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QCSDP (6) QCSDPSubtermProof [EQUIVALENT, 18 ms] (7) QCSDP (8) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (9) TRUE (10) QCSDP (11) QCSUsableRulesProof [EQUIVALENT, 0 ms] (12) QCSDP (13) QCSDPMuMonotonicPoloProof [EQUIVALENT, 78 ms] (14) QCSDP (15) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (16) TRUE (17) QCSDP (18) QCSDPSubtermProof [EQUIVALENT, 0 ms] (19) QCSDP (20) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (21) TRUE (22) QCSDP (23) QCSDPSubtermProof [EQUIVALENT, 0 ms] (24) QCSDP (25) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (26) TRUE ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: U101(tt, M, N) -> U102(isNatKind(M), M, N) U102(tt, M, N) -> U103(isNat(N), M, N) U103(tt, M, N) -> U104(isNatKind(N), M, N) U104(tt, M, N) -> plus(x(N, M), N) U11(tt, V1, V2) -> U12(isNatKind(V1), V1, V2) U12(tt, V1, V2) -> U13(isNatKind(V2), V1, V2) U13(tt, V1, V2) -> U14(isNatKind(V2), V1, V2) U14(tt, V1, V2) -> U15(isNat(V1), V2) U15(tt, V2) -> U16(isNat(V2)) U16(tt) -> tt U21(tt, V1) -> U22(isNatKind(V1), V1) U22(tt, V1) -> U23(isNat(V1)) U23(tt) -> tt U31(tt, V1, V2) -> U32(isNatKind(V1), V1, V2) U32(tt, V1, V2) -> U33(isNatKind(V2), V1, V2) U33(tt, V1, V2) -> U34(isNatKind(V2), V1, V2) U34(tt, V1, V2) -> U35(isNat(V1), V2) U35(tt, V2) -> U36(isNat(V2)) U36(tt) -> tt U41(tt, V2) -> U42(isNatKind(V2)) U42(tt) -> tt U51(tt) -> tt U61(tt, V2) -> U62(isNatKind(V2)) U62(tt) -> tt U71(tt, N) -> U72(isNatKind(N), N) U72(tt, N) -> N U81(tt, M, N) -> U82(isNatKind(M), M, N) U82(tt, M, N) -> U83(isNat(N), M, N) U83(tt, M, N) -> U84(isNatKind(N), M, N) U84(tt, M, N) -> s(plus(N, M)) U91(tt, N) -> U92(isNatKind(N)) U92(tt) -> 0 isNat(0) -> tt isNat(plus(V1, V2)) -> U11(isNatKind(V1), V1, V2) isNat(s(V1)) -> U21(isNatKind(V1), V1) isNat(x(V1, V2)) -> U31(isNatKind(V1), V1, V2) isNatKind(0) -> tt isNatKind(plus(V1, V2)) -> U41(isNatKind(V1), V2) isNatKind(s(V1)) -> U51(isNatKind(V1)) isNatKind(x(V1, V2)) -> U61(isNatKind(V1), V2) plus(N, 0) -> U71(isNat(N), N) plus(N, s(M)) -> U81(isNat(M), M, N) x(N, 0) -> U91(isNat(N), N) x(N, s(M)) -> U101(isNat(M), M, N) The replacement map contains the following entries: U101: {1} tt: empty set U102: {1} isNatKind: empty set U103: {1} isNat: empty set U104: {1} plus: {1, 2} x: {1, 2} U11: {1} popout

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

job log

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actions

all output return to TRS Contextsensitive