details

property	value
status	complete
benchmark	PEANO_nosorts_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n141.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.98585 seconds
cpu usage	4.90981
user time	4.66949
system time	0.240315
max virtual memory	1.854044E7
max residence set size	327316.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 75 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 28 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 0 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 8 ms] (8) QTRS (9) QTRSRRRProof [EQUIVALENT, 12 ms] (10) QTRS (11) QTRSRRRProof [EQUIVALENT, 0 ms] (12) QTRS (13) QTRSRRRProof [EQUIVALENT, 0 ms] (14) QTRS (15) RisEmptyProof [EQUIVALENT, 0 ms] (16) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(and(tt, X)) -> mark(X) active(plus(N, 0)) -> mark(N) active(plus(N, s(M))) -> mark(s(plus(N, M))) mark(and(X1, X2)) -> active(and(mark(X1), X2)) mark(tt) -> active(tt) mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) mark(0) -> active(0) mark(s(X)) -> active(s(mark(X))) and(mark(X1), X2) -> and(X1, X2) and(X1, mark(X2)) -> and(X1, X2) and(active(X1), X2) -> and(X1, X2) and(X1, active(X2)) -> and(X1, X2) plus(mark(X1), X2) -> plus(X1, X2) plus(X1, mark(X2)) -> plus(X1, X2) plus(active(X1), X2) -> plus(X1, X2) plus(X1, active(X2)) -> plus(X1, X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) The set Q consists of the following terms: active(and(tt, x0)) active(plus(x0, 0)) active(plus(x0, s(x1))) mark(and(x0, x1)) mark(tt) mark(plus(x0, x1)) mark(0) mark(s(x0)) and(mark(x0), x1) and(x0, mark(x1)) and(active(x0), x1) and(x0, active(x1)) plus(mark(x0), x1) plus(x0, mark(x1)) plus(active(x0), x1) plus(x0, active(x1)) s(mark(x0)) s(active(x0)) ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0) = 1 POL(active(x_1)) = x_1 POL(and(x_1, x_2)) = x_1 + x_2 POL(mark(x_1)) = x_1 POL(plus(x_1, x_2)) = x_1 + x_2 POL(s(x_1)) = x_1 POL(tt) = 0 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: active(plus(N, 0)) -> mark(N) ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: popout

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

job log

popout

actions

all output return to TRS Innermost