details

property	value
status	complete
benchmark	MYNAT_nosorts_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n094.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.70907688141 seconds
cpu usage	3.827207842
max memory	2.4057856E8

stage attributes

key	value
output-size	3619
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 116 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 0 ms] (4) QTRS (5) RisEmptyProof [EQUIVALENT, 0 ms] (6) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__and(tt, X) -> mark(X) a__plus(N, 0) -> mark(N) a__plus(N, s(M)) -> s(a__plus(mark(N), mark(M))) a__x(N, 0) -> 0 a__x(N, s(M)) -> a__plus(a__x(mark(N), mark(M)), mark(N)) mark(and(X1, X2)) -> a__and(mark(X1), X2) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(x(X1, X2)) -> a__x(mark(X1), mark(X2)) mark(tt) -> tt mark(0) -> 0 mark(s(X)) -> s(mark(X)) a__and(X1, X2) -> and(X1, X2) a__plus(X1, X2) -> plus(X1, X2) a__x(X1, X2) -> x(X1, X2) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: a__and/2(YES,YES) tt/0) mark/1)YES( a__plus/2(YES,YES) 0/0) s/1(YES) a__x/2(YES,YES) and/2(YES,YES) plus/2(YES,YES) x/2(YES,YES) Quasi precedence: [a__and_2, and_2] > s_1 tt > s_1 [a__x_2, x_2] > [a__plus_2, plus_2] > s_1 [a__x_2, x_2] > 0 > s_1 Status: a__and_2: [1,2] tt: multiset status a__plus_2: [1,2] 0: multiset status s_1: multiset status a__x_2: multiset status and_2: [1,2] plus_2: [1,2] x_2: multiset status With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: a__and(tt, X) -> mark(X) a__plus(N, 0) -> mark(N) a__plus(N, s(M)) -> s(a__plus(mark(N), mark(M))) a__x(N, 0) -> 0 a__x(N, s(M)) -> a__plus(a__x(mark(N), mark(M)), mark(N)) ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: mark(and(X1, X2)) -> a__and(mark(X1), X2) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(x(X1, X2)) -> a__x(mark(X1), mark(X2)) popout

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