details

property	value
status	complete
benchmark	nestrec.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n072.star.cs.uiowa.edu
space	Rubio_04

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	2.32183504105 seconds
cpu usage	6.076736204
max memory	5.37616384E8

stage attributes

key	value
output-size	2038
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(g(X)) -> g(f(f(X))) f(h(X)) -> h(g(X)) 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: g(f(X)) -> f(f(g(X))) h(f(X)) -> g(h(X)) Q is empty. ---------------------------------------- (3) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. The following rules were used to construct the certificate: g(f(X)) -> f(f(g(X))) h(f(X)) -> g(h(X)) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 33, 34, 77, 78, 79, 80, 81, 82 Node 33 is start node and node 34 is final node. Those nodes are connected through the following edges: * 33 to 77 labelled f_1(0)* 33 to 79 labelled g_1(0)* 34 to 34 labelled #_1(0)* 77 to 78 labelled f_1(0)* 78 to 34 labelled g_1(0)* 78 to 80 labelled f_1(1)* 79 to 34 labelled h_1(0)* 79 to 82 labelled g_1(1)* 80 to 81 labelled f_1(1)* 81 to 34 labelled g_1(1)* 81 to 80 labelled f_1(1)* 82 to 34 labelled h_1(1)* 82 to 82 labelled g_1(1) ---------------------------------------- (4) YES popout

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

job log

popout

actions

all output return to TRS Standard