details

property	value
status	complete
benchmark	383.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n035.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	2.1796631813 seconds
cpu usage	5.544876046
max memory	4.74144768E8

stage attributes

key	value
output-size	2820
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Quasi decreasingness of the given CTRS could be proven: (0) CTRS (1) CTRSToQTRSProof [SOUND, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 42 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 1 ms] (6) QTRS (7) RisEmptyProof [EQUIVALENT, 0 ms] (8) YES ---------------------------------------- (0) Obligation: Conditional term rewrite system: The TRS R consists of the following rules: a -> c a -> d b -> c b -> d g(x, x) -> h(x, x) h(x, f(x)) -> x The conditional TRS C consists of the following conditional rules: f(x) -> x <= x -> c ---------------------------------------- (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) -> U1(x, x) U1(c, x) -> x a -> c a -> d b -> c b -> d g(x, x) -> h(x, x) h(x, f(x)) -> x Q is empty. ---------------------------------------- (3) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(U1(x_1, x_2)) = x_1 + x_2 POL(a) = 2 POL(b) = 2 POL(c) = 2 POL(d) = 2 POL(f(x_1)) = 2 + 2*x_1 POL(g(x_1, x_2)) = 2*x_1 + 2*x_2 POL(h(x_1, x_2)) = x_1 + x_2 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: f(x) -> U1(x, x) U1(c, x) -> x h(x, f(x)) -> x ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a -> c a -> d b -> c b -> d g(x, x) -> h(x, x) popout

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

job log

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actions

all output return to TRS Conditional