details

property	value
status	complete
benchmark	ExConc_Zan97_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n074.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.59493088722 seconds
cpu usage	3.427767526
max memory	1.87846656E8

stage attributes

key	value
output-size	2085
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__f(X) -> g(h(f(X))) mark(f(X)) -> a__f(mark(X)) mark(g(X)) -> g(X) mark(h(X)) -> h(mark(X)) a__f(X) -> f(X) The set Q consists of the following terms: a__f(x0) mark(f(x0)) mark(g(x0)) mark(h(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: a__f(X) -> g(h(f(X))) mark(f(X)) -> a__f(mark(X)) mark(g(X)) -> g(X) mark(h(X)) -> h(mark(X)) a__f(X) -> f(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 g_1(0)* 1 to 5 labelled a__f_1(0), h_1(0), f_1(1)* 1 to 2 labelled g_1(0), f_1(0)* 1 to 6 labelled g_1(1)* 2 to 2 labelled #_1(0)* 3 to 4 labelled h_1(0)* 4 to 2 labelled f_1(0)* 5 to 2 labelled mark_1(0), g_1(1)* 5 to 8 labelled a__f_1(1), h_1(1), f_1(2)* 5 to 9 labelled g_1(2)* 6 to 7 labelled h_1(1)* 7 to 5 labelled f_1(1)* 8 to 2 labelled mark_1(1), g_1(1)* 8 to 8 labelled a__f_1(1), h_1(1), f_1(2)* 8 to 9 labelled g_1(2)* 9 to 10 labelled h_1(2)* 10 to 8 labelled f_1(2) ---------------------------------------- (2) YES popout

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

job log

popout

actions

all output return to TRS Inner 89993