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	n175.star.cs.uiowa.edu
space	Rubio_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.11317 seconds
cpu usage	3.7289
user time	3.5781
system time	0.150806
max virtual memory	1.8676764E7
max residence set size	243816.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0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: 57, 58, 59, 60, 61, 62, 63, 64 Node 57 is start node and node 58 is final node. Those nodes are connected through the following edges: * 57 to 59 labelled f_1(0)* 57 to 61 labelled g_1(0)* 58 to 58 labelled #_1(0)* 59 to 60 labelled f_1(0)* 60 to 58 labelled g_1(0)* 60 to 62 labelled f_1(1)* 61 to 58 labelled h_1(0)* 61 to 64 labelled g_1(1)* 62 to 63 labelled f_1(1)* 63 to 58 labelled g_1(1)* 63 to 62 labelled f_1(1)* 64 to 58 labelled h_1(1)* 64 to 64 labelled g_1(1) ---------------------------------------- (4) YES popout

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

job log

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actions

all output return to TRS Standard