TRS_Innermost 2019-03-28 22.12 pair #432271150

details

property	value
status	complete
benchmark	Ex1_GM99_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n086.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.65676 seconds
cpu usage	3.40657
user time	3.24983
system time	0.156746
max virtual memory	1.8277792E7
max residence set size	230364.0

stage attributes

key	value
starexec-result	YES

output

3.18/1.62	YES
3.18/1.63	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
3.18/1.63	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.18/1.63	
3.18/1.63	
3.18/1.63	Termination w.r.t. Q of the given QTRS could be proven:
3.18/1.63	
3.18/1.63	(0) QTRS
3.18/1.63	(1) QTRSToCSRProof [SOUND, 0 ms]
3.18/1.63	(2) CSR
3.18/1.63	(3) CSRRRRProof [EQUIVALENT, 56 ms]
3.18/1.63	(4) CSR
3.18/1.63	(5) CSRRRRProof [EQUIVALENT, 0 ms]
3.18/1.63	(6) CSR
3.18/1.63	(7) CSRInnermostProof [EQUIVALENT, 0 ms]
3.18/1.63	(8) CSR
3.18/1.63	(9) CSDependencyPairsProof [EQUIVALENT, 0 ms]
3.18/1.63	(10) QCSDP
3.18/1.63	(11) QCSDependencyGraphProof [EQUIVALENT, 0 ms]
3.18/1.63	(12) TRUE
3.18/1.63	
3.18/1.63	
3.18/1.63	----------------------------------------
3.18/1.63	
3.18/1.63	(0)
3.18/1.63	Obligation:
3.18/1.63	Q restricted rewrite system:
3.18/1.63	The TRS R consists of the following rules:
3.18/1.63	
3.18/1.63	   active(f(a, b, X)) -> mark(f(X, X, X))
3.18/1.63	   active(c) -> mark(a)
3.18/1.63	   active(c) -> mark(b)
3.18/1.63	   active(f(X1, X2, X3)) -> f(X1, X2, active(X3))
3.18/1.63	   f(X1, X2, mark(X3)) -> mark(f(X1, X2, X3))
3.18/1.63	   proper(f(X1, X2, X3)) -> f(proper(X1), proper(X2), proper(X3))
3.18/1.63	   proper(a) -> ok(a)
3.18/1.63	   proper(b) -> ok(b)
3.18/1.63	   proper(c) -> ok(c)
3.18/1.63	   f(ok(X1), ok(X2), ok(X3)) -> ok(f(X1, X2, X3))
3.18/1.63	   top(mark(X)) -> top(proper(X))
3.18/1.63	   top(ok(X)) -> top(active(X))
3.18/1.63	
3.18/1.63	The set Q consists of the following terms:
3.18/1.63	
3.18/1.63	   active(c)
3.18/1.63	   active(f(x0, x1, x2))
3.18/1.63	   f(x0, x1, mark(x2))
3.18/1.63	   proper(f(x0, x1, x2))
3.18/1.63	   proper(a)
3.18/1.63	   proper(b)
3.18/1.63	   proper(c)
3.18/1.63	   f(ok(x0), ok(x1), ok(x2))
3.18/1.63	   top(mark(x0))
3.18/1.63	   top(ok(x0))
3.18/1.63	
3.18/1.63	
3.18/1.63	----------------------------------------
3.18/1.63	
3.18/1.63	(1) QTRSToCSRProof (SOUND)
3.18/1.63	The following Q TRS is given: Q restricted rewrite system:
3.18/1.63	The TRS R consists of the following rules:
3.18/1.63	
3.18/1.63	   active(f(a, b, X)) -> mark(f(X, X, X))
3.18/1.63	   active(c) -> mark(a)
3.18/1.63	   active(c) -> mark(b)
3.18/1.63	   active(f(X1, X2, X3)) -> f(X1, X2, active(X3))
3.18/1.63	   f(X1, X2, mark(X3)) -> mark(f(X1, X2, X3))
3.18/1.63	   proper(f(X1, X2, X3)) -> f(proper(X1), proper(X2), proper(X3))
3.18/1.63	   proper(a) -> ok(a)
3.18/1.63	   proper(b) -> ok(b)
3.18/1.63	   proper(c) -> ok(c)
3.18/1.63	   f(ok(X1), ok(X2), ok(X3)) -> ok(f(X1, X2, X3))
3.18/1.63	   top(mark(X)) -> top(proper(X))
3.18/1.63	   top(ok(X)) -> top(active(X))
3.18/1.63	
3.18/1.63	The set Q consists of the following terms:
3.18/1.63	
3.18/1.63	   active(c)
3.18/1.63	   active(f(x0, x1, x2))
3.18/1.63	   f(x0, x1, mark(x2))
3.18/1.63	   proper(f(x0, x1, x2))
3.18/1.63	   proper(a)
3.18/1.63	   proper(b)
3.18/1.63	   proper(c)
3.18/1.63	   f(ok(x0), ok(x1), ok(x2))
3.18/1.63	   top(mark(x0))
3.18/1.63	   top(ok(x0))
3.18/1.63	
3.18/1.63	Special symbols used for the transformation (see [GM04]):
3.18/1.63	top: top_1, active: active_1, mark: mark_1, ok: ok_1, proper: proper_1
3.18/1.63	The replacement map contains the following entries:
3.18/1.63	
3.18/1.63	f: {3}
3.18/1.63	a: empty set
3.18/1.63	b: empty set
3.18/1.63	c: empty set
3.18/1.63	The QTRS contained just a subset of rules created by the complete Giesl-Middeldorp transformation. Therefore, the inverse transformation is sound, but not necessarily complete.
3.18/1.63	----------------------------------------
3.18/1.63	
3.18/1.63	(2)

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