details

property	value
status	complete
benchmark	409.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n150.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.2361471653 seconds
cpu usage	5.121873374
max memory	4.29268992E8

stage attributes

key	value
output-size	5424
starexec-result	MAYBE

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Quasi decreasingness of the given CTRS could not be shown: (0) CTRS (1) CTRSToQTRSProof [SOUND, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 59 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 0 ms] (6) QTRS (7) AAECC Innermost [EQUIVALENT, 0 ms] (8) QTRS (9) DependencyPairsProof [EQUIVALENT, 19 ms] (10) QDP (11) UsableRulesProof [EQUIVALENT, 0 ms] (12) QDP (13) QReductionProof [EQUIVALENT, 0 ms] (14) QDP (15) NonTerminationLoopProof [COMPLETE, 0 ms] (16) NO ---------------------------------------- (0) Obligation: Conditional term rewrite system: The TRS R consists of the following rules: g(s(x)) -> x h(s(x)) -> x b -> b The conditional TRS C consists of the following conditional rules: f(x, y) -> g(s(x)) <= c(g(x)) -> c(a) f(x, y) -> h(s(x)) <= c(h(x)) -> c(a) ---------------------------------------- (1) CTRSToQTRSProof (SOUND) The conditional rules have been transormed into unconditional rules according to [CTRS,AAECCNOC]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(x, y) -> U1(c(g(x)), x) U1(c(a), x) -> g(s(x)) f(x, y) -> U2(c(h(x)), x) U2(c(a), x) -> h(s(x)) g(s(x)) -> x h(s(x)) -> x b -> b Q is empty. ---------------------------------------- (3) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(U1(x_1, x_2)) = x_1 + x_2 POL(U2(x_1, x_2)) = x_1 + x_2 POL(a) = 0 POL(b) = 0 POL(c(x_1)) = x_1 POL(f(x_1, x_2)) = 1 + 2*x_1 + x_2 POL(g(x_1)) = x_1 POL(h(x_1)) = x_1 POL(s(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: f(x, y) -> U1(c(g(x)), x) f(x, y) -> U2(c(h(x)), 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 Conditional