details

property	value
status	complete
benchmark	MYNAT_complete_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n072.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	11.8469 seconds
cpu usage	37.7506
user time	36.9022
system time	0.848423
max virtual memory	1.8589232E7
max residence set size	1439856.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 68 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPOrderProof [EQUIVALENT, 6289 ms] (15) QDP (16) DependencyGraphProof [EQUIVALENT, 0 ms] (17) QDP (18) UsableRulesProof [EQUIVALENT, 0 ms] (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__U101(tt, M, N) -> a__U102(a__isNatKind(M), M, N) a__U102(tt, M, N) -> a__U103(a__isNat(N), M, N) a__U103(tt, M, N) -> a__U104(a__isNatKind(N), M, N) a__U104(tt, M, N) -> a__plus(a__x(mark(N), mark(M)), mark(N)) a__U11(tt, V1, V2) -> a__U12(a__isNatKind(V1), V1, V2) a__U12(tt, V1, V2) -> a__U13(a__isNatKind(V2), V1, V2) a__U13(tt, V1, V2) -> a__U14(a__isNatKind(V2), V1, V2) a__U14(tt, V1, V2) -> a__U15(a__isNat(V1), V2) a__U15(tt, V2) -> a__U16(a__isNat(V2)) a__U16(tt) -> tt a__U21(tt, V1) -> a__U22(a__isNatKind(V1), V1) a__U22(tt, V1) -> a__U23(a__isNat(V1)) a__U23(tt) -> tt a__U31(tt, V1, V2) -> a__U32(a__isNatKind(V1), V1, V2) a__U32(tt, V1, V2) -> a__U33(a__isNatKind(V2), V1, V2) a__U33(tt, V1, V2) -> a__U34(a__isNatKind(V2), V1, V2) a__U34(tt, V1, V2) -> a__U35(a__isNat(V1), V2) a__U35(tt, V2) -> a__U36(a__isNat(V2)) a__U36(tt) -> tt a__U41(tt, V2) -> a__U42(a__isNatKind(V2)) a__U42(tt) -> tt a__U51(tt) -> tt a__U61(tt, V2) -> a__U62(a__isNatKind(V2)) a__U62(tt) -> tt a__U71(tt, N) -> a__U72(a__isNatKind(N), N) a__U72(tt, N) -> mark(N) a__U81(tt, M, N) -> a__U82(a__isNatKind(M), M, N) a__U82(tt, M, N) -> a__U83(a__isNat(N), M, N) a__U83(tt, M, N) -> a__U84(a__isNatKind(N), M, N) a__U84(tt, M, N) -> s(a__plus(mark(N), mark(M))) a__U91(tt, N) -> a__U92(a__isNatKind(N)) a__U92(tt) -> 0 a__isNat(0) -> tt a__isNat(plus(V1, V2)) -> a__U11(a__isNatKind(V1), V1, V2) a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1) a__isNat(x(V1, V2)) -> a__U31(a__isNatKind(V1), V1, V2) a__isNatKind(0) -> tt a__isNatKind(plus(V1, V2)) -> a__U41(a__isNatKind(V1), V2) a__isNatKind(s(V1)) -> a__U51(a__isNatKind(V1)) a__isNatKind(x(V1, V2)) -> a__U61(a__isNatKind(V1), V2) a__plus(N, 0) -> a__U71(a__isNat(N), N) a__plus(N, s(M)) -> a__U81(a__isNat(M), M, N) a__x(N, 0) -> a__U91(a__isNat(N), N) a__x(N, s(M)) -> a__U101(a__isNat(M), M, N) mark(U101(X1, X2, X3)) -> a__U101(mark(X1), X2, X3) mark(U102(X1, X2, X3)) -> a__U102(mark(X1), X2, X3) mark(isNatKind(X)) -> a__isNatKind(X) mark(U103(X1, X2, X3)) -> a__U103(mark(X1), X2, X3) mark(isNat(X)) -> a__isNat(X) mark(U104(X1, X2, X3)) -> a__U104(mark(X1), X2, X3) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(x(X1, X2)) -> a__x(mark(X1), mark(X2)) mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3) mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3) mark(U13(X1, X2, X3)) -> a__U13(mark(X1), X2, X3) mark(U14(X1, X2, X3)) -> a__U14(mark(X1), X2, X3) mark(U15(X1, X2)) -> a__U15(mark(X1), X2) mark(U16(X)) -> a__U16(mark(X)) mark(U21(X1, X2)) -> a__U21(mark(X1), X2) mark(U22(X1, X2)) -> a__U22(mark(X1), X2) mark(U23(X)) -> a__U23(mark(X)) mark(U31(X1, X2, X3)) -> a__U31(mark(X1), X2, X3) popout

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

job log

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actions

all output return to TRS Standard