details

property	value
status	complete
benchmark	gen-17.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n003.star.cs.uiowa.edu
space	Secret_06_TRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.74664783478 seconds
cpu usage	3.8789734
max memory	1.99589888E8

stage attributes

key	value
output-size	1638
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 118 ms] (2) QTRS (3) RisEmptyProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(c(c(a, y, a), b(x, z), a)) -> b(y, f(c(f(a), z, z))) f(b(b(x, f(y)), z)) -> c(z, x, f(b(b(f(a), y), y))) c(b(a, a), b(y, z), x) -> b(a, b(z, z)) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Quasi precedence: [f_1, c_3] > [a, b_2] Status: f_1: [1] c_3: [1,3,2] a: multiset status b_2: [2,1] With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: f(c(c(a, y, a), b(x, z), a)) -> b(y, f(c(f(a), z, z))) f(b(b(x, f(y)), z)) -> c(z, x, f(b(b(f(a), y), y))) c(b(a, a), b(y, z), x) -> b(a, b(z, z)) ---------------------------------------- (2) Obligation: Q restricted rewrite system: R is empty. Q is empty. ---------------------------------------- (3) RisEmptyProof (EQUIVALENT) The TRS R is empty. Hence, termination is trivially proven. ---------------------------------------- (4) YES popout

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job log

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actions

all output return to TRS Stand 20472