TRS_Innermost 2019-03-28 22.12 pair #432271190

details

property	value
status	complete
benchmark	Ex1_Zan97_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n129.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.97175 seconds
cpu usage	11.7454
user time	11.223
system time	0.522396
max virtual memory	4.1919968E7
max residence set size	1347628.0

stage attributes

key	value
starexec-result	YES

output

11.26/3.74	YES
11.31/3.80	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
11.31/3.80	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.31/3.80	
11.31/3.80	
11.31/3.80	Termination w.r.t. Q of the given QTRS could be proven:
11.31/3.80	
11.31/3.80	(0) QTRS
11.31/3.80	(1) QTRS Reverse [SOUND, 0 ms]
11.31/3.80	(2) QTRS
11.31/3.80	(3) DependencyPairsProof [EQUIVALENT, 0 ms]
11.31/3.80	(4) QDP
11.31/3.80	(5) DependencyGraphProof [EQUIVALENT, 0 ms]
11.31/3.80	(6) AND
11.31/3.80	    (7) QDP
11.31/3.80	        (8) UsableRulesProof [EQUIVALENT, 0 ms]
11.31/3.80	        (9) QDP
11.31/3.80	        (10) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.31/3.80	        (11) YES
11.31/3.80	    (12) QDP
11.31/3.80	        (13) UsableRulesProof [EQUIVALENT, 0 ms]
11.31/3.80	        (14) QDP
11.31/3.80	        (15) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.31/3.80	        (16) YES
11.31/3.80	    (17) QDP
11.31/3.80	        (18) UsableRulesProof [EQUIVALENT, 0 ms]
11.31/3.80	        (19) QDP
11.31/3.80	        (20) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.31/3.80	        (21) YES
11.31/3.80	    (22) QDP
11.31/3.80	        (23) UsableRulesProof [EQUIVALENT, 0 ms]
11.31/3.80	        (24) QDP
11.31/3.80	        (25) QDPOrderProof [EQUIVALENT, 10 ms]
11.31/3.80	        (26) QDP
11.31/3.80	        (27) DependencyGraphProof [EQUIVALENT, 0 ms]
11.31/3.80	        (28) AND
11.31/3.80	            (29) QDP
11.31/3.80	                (30) MRRProof [EQUIVALENT, 12 ms]
11.31/3.80	                (31) QDP
11.31/3.80	                (32) PisEmptyProof [EQUIVALENT, 0 ms]
11.31/3.80	                (33) YES
11.31/3.80	            (34) QDP
11.31/3.80	                (35) MRRProof [EQUIVALENT, 12 ms]
11.31/3.80	                (36) QDP
11.31/3.80	                (37) PisEmptyProof [EQUIVALENT, 0 ms]
11.31/3.80	                (38) YES
11.31/3.80	
11.31/3.80	
11.31/3.80	----------------------------------------
11.31/3.80	
11.31/3.80	(0)
11.31/3.80	Obligation:
11.31/3.80	Q restricted rewrite system:
11.31/3.80	The TRS R consists of the following rules:
11.31/3.80	
11.31/3.80	   active(g(X)) -> mark(h(X))
11.31/3.80	   active(c) -> mark(d)
11.31/3.80	   active(h(d)) -> mark(g(c))
11.31/3.80	   proper(g(X)) -> g(proper(X))
11.31/3.80	   proper(h(X)) -> h(proper(X))
11.31/3.80	   proper(c) -> ok(c)
11.31/3.80	   proper(d) -> ok(d)
11.31/3.80	   g(ok(X)) -> ok(g(X))
11.31/3.80	   h(ok(X)) -> ok(h(X))
11.31/3.80	   top(mark(X)) -> top(proper(X))
11.31/3.80	   top(ok(X)) -> top(active(X))
11.31/3.80	
11.31/3.80	The set Q consists of the following terms:
11.31/3.80	
11.31/3.80	   active(g(x0))
11.31/3.80	   active(c)
11.31/3.80	   active(h(d))
11.31/3.80	   proper(g(x0))
11.31/3.80	   proper(h(x0))
11.31/3.80	   proper(c)
11.31/3.80	   proper(d)
11.31/3.80	   g(ok(x0))
11.31/3.80	   h(ok(x0))
11.31/3.80	   top(mark(x0))
11.31/3.80	   top(ok(x0))
11.31/3.80	
11.31/3.80	
11.31/3.80	----------------------------------------
11.31/3.80	
11.31/3.80	(1) QTRS Reverse (SOUND)
11.31/3.80	We applied the QTRS Reverse Processor [REVERSE].
11.31/3.80	----------------------------------------
11.31/3.80	
11.31/3.80	(2)
11.31/3.80	Obligation:
11.31/3.80	Q restricted rewrite system:
11.31/3.80	The TRS R consists of the following rules:
11.31/3.80	
11.31/3.80	   g(active(X)) -> h(mark(X))
11.31/3.80	   c'(active(x)) -> d'(mark(x))
11.31/3.80	   d'(h(active(x))) -> c'(g(mark(x)))
11.31/3.80	   g(proper(X)) -> proper(g(X))
11.31/3.80	   h(proper(X)) -> proper(h(X))
11.31/3.80	   c'(proper(x)) -> c'(ok(x))
11.31/3.80	   d'(proper(x)) -> d'(ok(x))

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actions all output return to TRS_Innermost 2019-03-28 22.12