details

property	value
status	complete
benchmark	#4.4.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n066.star.cs.uiowa.edu
space	AG01_innermost

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	2.14906907082 seconds
cpu usage	5.400969626
max memory	4.75148288E8

stage attributes

key	value
output-size	1628
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 3 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(g(x), x, y) -> f(y, y, g(y)) g(g(x)) -> g(x) The set Q consists of the following terms: f(g(x0), x0, x1) g(g(x0)) ---------------------------------------- (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(g(x), x, y) -> F(y, y, g(y)) F(g(x), x, y) -> G(y) The TRS R consists of the following rules: f(g(x), x, y) -> f(y, y, g(y)) g(g(x)) -> g(x) The set Q consists of the following terms: f(g(x0), x0, x1) g(g(x0)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (3) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 2 less nodes. ---------------------------------------- (4) TRUE popout

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

job log

popout

actions

all output return to TRS Innermost