details

property	value
status	complete
benchmark	test830.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n070.star.cs.uiowa.edu
space	Strategy_removed_mixed_05

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.80553 seconds
cpu usage	7.77429
user time	7.40625
system time	0.368041
max virtual memory	1.8474676E7
max residence set size	256412.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 66 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 0 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 9 ms] (6) QTRS (7) AAECC Innermost [EQUIVALENT, 0 ms] (8) QTRS (9) DependencyPairsProof [EQUIVALENT, 0 ms] (10) QDP (11) DependencyGraphProof [EQUIVALENT, 0 ms] (12) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(s(X)) -> f(X) g(cons(0, Y)) -> g(Y) g(cons(s(X), Y)) -> s(X) h(cons(X, Y)) -> h(g(cons(X, Y))) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0) = 2 POL(cons(x_1, x_2)) = x_1 + x_2 POL(f(x_1)) = 2*x_1 POL(g(x_1)) = x_1 POL(h(x_1)) = 2*x_1 POL(s(x_1)) = 2*x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: g(cons(0, Y)) -> g(Y) ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(s(X)) -> f(X) g(cons(s(X), Y)) -> s(X) h(cons(X, Y)) -> h(g(cons(X, Y))) Q is empty. ---------------------------------------- (3) QTRSRRRProof (EQUIVALENT) Used ordering: f/1)YES( s/1)YES( g/1)YES( cons/2(YES,YES) h/1(YES) Quasi precedence: [cons_2, h_1] Status: cons_2: multiset status h_1: multiset status With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: g(cons(s(X), Y)) -> s(X) ---------------------------------------- (4) 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 Standard