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	n098.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.87357211113 seconds
cpu usage	4.057072503
max memory	2.51035648E8

stage attributes

key	value
output-size	5877
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Quasi decreasingness of the given CTRS could not be shown: (0) CTRS (1) CTRSToQTRSProof [SOUND, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 41 ms] (4)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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