details

property	value
status	complete
benchmark	ExProp7_Luc06_L.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.54489 seconds
cpu usage	3.35296
user time	3.21349
system time	0.139467
max virtual memory	1.8477528E7
max residence set size	232524.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(X)) -> X The set Q consists of the following terms: f(0) f(s(0)) p(s(x0)) ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. The following rules were used to construct the certificate: f(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(X)) -> X The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled cons_1(0)* 1 to 4 labelled f_1(0)* 1 to 2 labelled f_1(0), 0(0), cons_1(0), s_1(0), p_1(0), f_1(1), 0(1), cons_1(1), s_1(1), p_1(1)* 1 to 7 labelled cons_1(1)* 1 to 8 labelled f_1(1), cons_1(2)* 1 to 1 labelled cons_1(1)* 2 to 2 labelled #_1(0)* 3 to 2 labelled 0(0)* 4 to 5 labelled p_1(0)* 4 to 2 labelled 0(1)* 5 to 6 labelled s_1(0)* 6 to 2 labelled 0(0)* 7 to 2 labelled 0(1)* 8 to 9 labelled p_1(1)* 8 to 2 labelled 0(2)* 9 to 10 labelled s_1(1)* 10 to 2 labelled 0(1) ---------------------------------------- (2) YES popout

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

job log

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actions

all output return to TRS Innermost