details

property	value
status	complete
benchmark	size-11-alpha-2-num-1.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	Waldmann_07_size11

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	6.89405179024 seconds
cpu usage	24.101173389
max memory	1.447415808E9

stage attributes

key	value
output-size	6067
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 2 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) QDP (7) QDPOrderProof [EQUIVALENT, 241 ms] (8) QDP (9) QDPOrderProof [EQUIVALENT, 72 ms] (10) QDP (11) QDPOrderProof [EQUIVALENT, 71 ms] (12) QDP (13) PisEmptyProof [EQUIVALENT, 0 ms] (14) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(x1) -> x1 a(a(b(b(x1)))) -> b(b(a(a(b(a(x1)))))) Q is empty. ---------------------------------------- (1) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(x1) -> x1 b(b(a(a(x1)))) -> a(b(a(a(b(b(x1)))))) Q is empty. ---------------------------------------- (3) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (4) Obligation: Q DP problem: The TRS P consists of the following rules: B(b(a(a(x1)))) -> A(b(a(a(b(b(x1)))))) B(b(a(a(x1)))) -> B(a(a(b(b(x1))))) B(b(a(a(x1)))) -> A(a(b(b(x1)))) B(b(a(a(x1)))) -> A(b(b(x1))) B(b(a(a(x1)))) -> B(b(x1)) B(b(a(a(x1)))) -> B(x1) The TRS R consists of the following rules: a(x1) -> x1 b(b(a(a(x1)))) -> a(b(a(a(b(b(x1)))))) Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (5) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 3 less nodes. ---------------------------------------- (6) Obligation: Q DP problem: The TRS P consists of the following rules: B(b(a(a(x1)))) -> B(b(x1)) B(b(a(a(x1)))) -> B(a(a(b(b(x1))))) B(b(a(a(x1)))) -> B(x1) The TRS R consists of the following rules: popout

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

job log

popout

actions

all output return to SRS Standard