details

property	value
status	complete
benchmark	4.49.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n071.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.2186 seconds
cpu usage	4.61449
user time	4.41552
system time	0.19897
max virtual memory	1.8411988E7
max residence set size	324648.0

stage attributes

key	value
starexec-result	NO

output

NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 0 ms] (2) QDP (3) NonTerminationLoopProof [COMPLETE, 0 ms] (4) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(x, y, f(z, u, v)) -> f(f(x, y, z), u, f(x, y, v)) Q is empty. ---------------------------------------- (1) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (2) Obligation: Q DP problem: The TRS P consists of the following rules: F(x, y, f(z, u, v)) -> F(f(x, y, z), u, f(x, y, v)) F(x, y, f(z, u, v)) -> F(x, y, z) F(x, y, f(z, u, v)) -> F(x, y, v) The TRS R consists of the following rules: f(x, y, f(z, u, v)) -> f(f(x, y, z), u, f(x, y, v)) Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (3) NonTerminationLoopProof (COMPLETE) We used the non-termination processor [FROCOS05] to show that the DP problem is infinite. Found a loop by semiunifying a rule from P directly. s = F(x, y, f(z, u, v)) evaluates to t =F(f(x, y, z), u, f(x, y, v)) Thus s starts an infinite chain as s semiunifies with t with the following substitutions: * Matcher: [x / f(x, y, z), y / u, z / x, u / y] * Semiunifier: [ ] -------------------------------------------------------------------------------- Rewriting sequence The DP semiunifies directly so there is only one rewrite step from F(x, y, f(z, u, v)) to F(f(x, y, z), u, f(x, y, v)). ---------------------------------------- (4) NO popout

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all output return to TRS Standard