details

property	value
status	complete
benchmark	PEANO_complete_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE23
configuration	standard
runtime (wallclock)	3.72681307793 seconds
cpu usage	10.962151348
max memory	6.38615552E8

stage attributes

key	value
output-size	41585
starexec-result	"YES"

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 363435ff5b19173ec8a83b45cfdec073678dabcc jan-christoph 20230815 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 0 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0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, 377 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__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, V2) -> a__U32(a__isNatKind(V2)) a__U32(tt) -> tt a__U41(tt) -> tt a__U51(tt, N) -> a__U52(a__isNatKind(N), N) a__U52(tt, N) -> mark(N) a__U61(tt, M, N) -> a__U62(a__isNatKind(M), M, N) a__U62(tt, M, N) -> a__U63(a__isNat(N), M, N) a__U63(tt, M, N) -> a__U64(a__isNatKind(N), M, N) a__U64(tt, M, N) -> s(a__plus(mark(N), mark(M))) 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__isNatKind(0) -> tt a__isNatKind(plus(V1, V2)) -> a__U31(a__isNatKind(V1), V2) a__isNatKind(s(V1)) -> a__U41(a__isNatKind(V1)) a__plus(N, 0) -> a__U51(a__isNat(N), N) a__plus(N, s(M)) -> a__U61(a__isNat(M), M, N) mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3) mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3) mark(isNatKind(X)) -> a__isNatKind(X) 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(isNat(X)) -> a__isNat(X) 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)) -> a__U31(mark(X1), X2) mark(U32(X)) -> a__U32(mark(X)) mark(U41(X)) -> a__U41(mark(X)) mark(U51(X1, X2)) -> a__U51(mark(X1), X2) mark(U52(X1, X2)) -> a__U52(mark(X1), X2) mark(U61(X1, X2, X3)) -> a__U61(mark(X1), X2, X3) mark(U62(X1, X2, X3)) -> a__U62(mark(X1), X2, X3) mark(U63(X1, X2, X3)) -> a__U63(mark(X1), X2, X3) mark(U64(X1, X2, X3)) -> a__U64(mark(X1), X2, X3) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(tt) -> tt mark(s(X)) -> s(mark(X)) mark(0) -> 0 a__U11(X1, X2, X3) -> U11(X1, X2, X3) a__U12(X1, X2, X3) -> U12(X1, X2, X3) a__isNatKind(X) -> isNatKind(X) a__U13(X1, X2, X3) -> U13(X1, X2, X3) a__U14(X1, X2, X3) -> U14(X1, X2, X3) a__U15(X1, X2) -> U15(X1, X2) popout

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

job log

popout

actions

all output return to TRS Standard