details

property	value
status	complete
benchmark	324.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n174.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	2.45351195335 seconds
cpu usage	6.258625906
max memory	4.89005056E8

stage attributes

key	value
output-size	5874
starexec-result	MAYBE

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Quasi decreasingness of the given CTRS could not be shown: (0) CTRS (1) CTRSToQTRSProof [SOUND, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 45 ms] (4) QTRS (5) AAECC Innermost [EQUIVALENT, 0 ms] (6) QTRS (7) DependencyPairsProof [EQUIVALENT, 0 ms] (8) QDP (9) UsableRulesProof [EQUIVALENT, 0 ms] (10) QDP (11) QReductionProof [EQUIVALENT, 0 ms] (12) QDP (13) TransformationProof [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: odd(0) -> false even(0) -> true eq(x, x) -> eq(T, T) The conditional TRS C consists of the following conditional rules: odd(s(x)) -> true <= eq(even(x), true) -> eq(T, T) odd(s(x)) -> false <= eq(even(x), false) -> eq(T, T) even(s(x)) -> true <= eq(odd(x), true) -> eq(T, T) even(s(x)) -> false <= eq(odd(x), false) -> eq(T, T) ---------------------------------------- (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: odd(s(x)) -> U1(eq(even(x), true)) U1(eq(T, T)) -> true odd(s(x)) -> U2(eq(even(x), false)) U2(eq(T, T)) -> false even(s(x)) -> U3(eq(odd(x), true)) U3(eq(T, T)) -> true even(s(x)) -> U4(eq(odd(x), false)) U4(eq(T, T)) -> false odd(0) -> false even(0) -> true eq(x, x) -> eq(T, T) Q is empty. ---------------------------------------- (3) QTRSRRRProof (EQUIVALENT) Used ordering: Knuth-Bendix order [KBO] with precedence:odd_1 > U1_1 > true > eq_2 > 0 > even_1 > U4_1 > U3_1 > U2_1 > false > s_1 > T and weight map: true=4 T=1 false=3 0=1 odd_1=5 s_1=7 U1_1=2 even_1=6 U2_1=1 U3_1=3 U4_1=1 eq_2=0 The variable weight is 1With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: odd(s(x)) -> U1(eq(even(x), true)) popout

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actions

all output return to TRS Conditional