details

property	value
status	complete
benchmark	MYNAT_nokinds_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n192.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.31483 seconds
cpu usage	4.86077
user time	4.65718
system time	0.203594
max virtual memory	1.841378E7
max residence set size	291156.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 242 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 4 ms] (4)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__U11(tt, N) -> mark(N) a__U21(tt, M, N) -> s(a__plus(mark(N), mark(M))) a__U31(tt) -> 0 a__U41(tt, M, N) -> a__plus(a__x(mark(N), mark(M)), mark(N)) a__and(tt, X) -> mark(X) a__isNat(0) -> tt a__isNat(plus(V1, V2)) -> a__and(a__isNat(V1), isNat(V2)) a__isNat(s(V1)) -> a__isNat(V1) a__isNat(x(V1, V2)) -> a__and(a__isNat(V1), isNat(V2)) a__plus(N, 0) -> a__U11(a__isNat(N), N) a__plus(N, s(M)) -> a__U21(a__and(a__isNat(M), isNat(N)), M, N) a__x(N, 0) -> a__U31(a__isNat(N)) a__x(N, s(M)) -> a__U41(a__and(a__isNat(M), isNat(N)), M, N) mark(U11(X1, X2)) -> a__U11(mark(X1), X2) mark(U21(X1, X2, X3)) -> a__U21(mark(X1), X2, X3) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3) mark(x(X1, X2)) -> a__x(mark(X1), mark(X2)) mark(and(X1, X2)) -> a__and(mark(X1), X2) mark(isNat(X)) -> a__isNat(X) mark(tt) -> tt mark(s(X)) -> s(mark(X)) mark(0) -> 0 a__U11(X1, X2) -> U11(X1, X2) a__U21(X1, X2, X3) -> U21(X1, X2, X3) a__plus(X1, X2) -> plus(X1, X2) a__U31(X) -> U31(X) a__U41(X1, X2, X3) -> U41(X1, X2, X3) a__x(X1, X2) -> x(X1, X2) a__and(X1, X2) -> and(X1, X2) a__isNat(X) -> isNat(X) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: a__U11/2(YES,YES) tt/0) mark/1)YES( a__U21/3(YES,YES,YES) s/1(YES) a__plus/2(YES,YES) a__U31/1)YES( 0/0) a__U41/3(YES,YES,YES) a__x/2(YES,YES) a__and/2(YES,YES) a__isNat/1)YES( plus/2(YES,YES) isNat/1)YES( x/2(YES,YES) U11/2(YES,YES) U21/3(YES,YES,YES) U31/1)YES( U41/3(YES,YES,YES) and/2(YES,YES) Quasi precedence: [tt, 0] > [a__U21_3, a__plus_2, plus_2, U21_3] > [a__U11_2, U11_2] [tt, 0] > [a__U21_3, a__plus_2, plus_2, U21_3] > [s_1, a__and_2, and_2] [a__U41_3, a__x_2, x_2, U41_3] > [a__U21_3, a__plus_2, plus_2, U21_3] > [a__U11_2, U11_2] [a__U41_3, a__x_2, x_2, U41_3] > [a__U21_3, a__plus_2, plus_2, U21_3] > [s_1, a__and_2, and_2] Status: a__U11_2: multiset status tt: multiset status a__U21_3: [2,3,1] s_1: multiset status a__plus_2: [2,1] 0: multiset status a__U41_3: [2,3,1] a__x_2: [2,1] a__and_2: multiset status popout

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

job log

popout

actions

all output return to TRS Standard