details

property	value
status	complete
benchmark	ExConc_Zan97_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n089.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.78226 seconds
cpu usage	3.86368
user time	3.69072
system time	0.172965
max virtual memory	1.8477276E7
max residence set size	286684.0

stage attributes

key	value
starexec-result	YES

output

3.38/1.70 YES 3.66/1.72 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.66/1.72 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.66/1.72 3.66/1.72 3.66/1.72 Termination w.r.t. Q of the given QTRS could be proven: 3.66/1.72 3.66/1.72 (0) QTRS 3.66/1.72 (1) QTRS Reverse [SOUND, 0 ms] 3.66/1.72 (2) QTRS 3.66/1.72 (3) RFCMatchBoundsTRSProof [EQUIVALENT, 5 ms] 3.66/1.72 (4) YES 3.66/1.72 3.66/1.72 3.66/1.72 ---------------------------------------- 3.66/1.72 3.66/1.72 (0) 3.66/1.72 Obligation: 3.66/1.72 Q restricted rewrite system: 3.66/1.72 The TRS R consists of the following rules: 3.66/1.72 3.66/1.72 active(f(X)) -> mark(g(h(f(X)))) 3.66/1.72 active(f(X)) -> f(active(X)) 3.66/1.72 active(h(X)) -> h(active(X)) 3.66/1.72 f(mark(X)) -> mark(f(X)) 3.66/1.72 h(mark(X)) -> mark(h(X)) 3.66/1.72 proper(f(X)) -> f(proper(X)) 3.66/1.72 proper(g(X)) -> g(proper(X)) 3.66/1.72 proper(h(X)) -> h(proper(X)) 3.66/1.72 f(ok(X)) -> ok(f(X)) 3.66/1.72 g(ok(X)) -> ok(g(X)) 3.66/1.72 h(ok(X)) -> ok(h(X)) 3.66/1.72 top(mark(X)) -> top(proper(X)) 3.66/1.72 top(ok(X)) -> top(active(X)) 3.66/1.72 3.66/1.72 The set Q consists of the following terms: 3.66/1.72 3.66/1.72 active(f(x0)) 3.66/1.72 active(h(x0)) 3.66/1.72 f(mark(x0)) 3.66/1.72 h(mark(x0)) 3.66/1.72 proper(f(x0)) 3.66/1.72 proper(g(x0)) 3.66/1.72 proper(h(x0)) 3.66/1.72 f(ok(x0)) 3.66/1.72 g(ok(x0)) 3.66/1.72 h(ok(x0)) 3.66/1.72 top(mark(x0)) 3.66/1.72 top(ok(x0)) 3.66/1.72 3.66/1.72 3.66/1.72 ---------------------------------------- 3.66/1.72 3.66/1.72 (1) QTRS Reverse (SOUND) 3.66/1.72 We applied the QTRS Reverse Processor [REVERSE]. 3.66/1.72 ---------------------------------------- 3.66/1.72 3.66/1.72 (2) 3.66/1.72 Obligation: 3.66/1.72 Q restricted rewrite system: 3.66/1.72 The TRS R consists of the following rules: 3.66/1.72 3.66/1.72 f(active(X)) -> f(h(g(mark(X)))) 3.66/1.72 f(active(X)) -> active(f(X)) 3.66/1.72 h(active(X)) -> active(h(X)) 3.66/1.72 mark(f(X)) -> f(mark(X)) 3.66/1.72 mark(h(X)) -> h(mark(X)) 3.66/1.72 f(proper(X)) -> proper(f(X)) 3.66/1.72 g(proper(X)) -> proper(g(X)) 3.66/1.72 h(proper(X)) -> proper(h(X)) 3.66/1.72 ok(f(X)) -> f(ok(X)) 3.66/1.72 ok(g(X)) -> g(ok(X)) 3.66/1.72 ok(h(X)) -> h(ok(X)) 3.66/1.72 mark(top(X)) -> proper(top(X)) 3.66/1.72 ok(top(X)) -> active(top(X)) 3.66/1.72 3.66/1.72 Q is empty. 3.66/1.72 3.66/1.72 ---------------------------------------- 3.66/1.72 3.66/1.72 (3) RFCMatchBoundsTRSProof (EQUIVALENT) 3.66/1.72 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 4. This implies Q-termination of R. 3.66/1.72 The following rules were used to construct the certificate: 3.66/1.72 3.66/1.72 f(active(X)) -> f(h(g(mark(X)))) 3.66/1.72 f(active(X)) -> active(f(X)) 3.66/1.72 h(active(X)) -> active(h(X)) 3.66/1.72 mark(f(X)) -> f(mark(X)) 3.66/1.72 mark(h(X)) -> h(mark(X)) 3.66/1.72 f(proper(X)) -> proper(f(X)) 3.66/1.72 g(proper(X)) -> proper(g(X)) 3.66/1.72 h(proper(X)) -> proper(h(X)) 3.66/1.72 ok(f(X)) -> f(ok(X)) 3.66/1.72 ok(g(X)) -> g(ok(X)) 3.66/1.72 ok(h(X)) -> h(ok(X)) 3.66/1.72 mark(top(X)) -> proper(top(X)) 3.66/1.72 ok(top(X)) -> active(top(X)) 3.66/1.72 3.66/1.72 The certificate found is represented by the following graph. 3.66/1.72 The certificate consists of the following enumerated nodes: popout

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

job log

popout

actions

all output return to TRS_Innermost 2019-03-28 22.12