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	n149.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.07095 seconds
cpu usage	4.92383
user time	4.73121
system time	0.192621
max virtual memory	1.8408912E7
max residence set size	294612.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 233 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 0 ms] (4)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__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) The set Q consists of the following terms: mark(U11(x0, x1)) mark(U21(x0, x1, x2)) mark(plus(x0, x1)) mark(U31(x0)) mark(U41(x0, x1, x2)) mark(x(x0, x1)) mark(and(x0, x1)) mark(isNat(x0)) mark(tt) mark(s(x0)) mark(0) a__U11(x0, x1) a__U21(x0, x1, x2) a__plus(x0, x1) a__U31(x0) a__U41(x0, x1, x2) a__x(x0, x1) a__and(x0, x1) a__isNat(x0) ---------------------------------------- (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) popout

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

job log

popout

actions

all output return to TRS Innermost