SRS_Standard 2019-03-29 03.29 pair #432292057

details

property	value
status	complete
benchmark	z124.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n048.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.74857 seconds
cpu usage	3.53842
user time	3.39445
system time	0.143976
max virtual memory	1.8741236E7
max residence set size	255992.0

stage attributes

key	value
starexec-result	YES

output

3.42/1.69	YES
3.42/1.71	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.42/1.71	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.42/1.71	
3.42/1.71	
3.42/1.71	Termination w.r.t. Q of the given QTRS could be proven:
3.42/1.71	
3.42/1.71	(0) QTRS
3.42/1.71	(1) QTRS Reverse [EQUIVALENT, 0 ms]
3.42/1.71	(2) QTRS
3.42/1.71	(3) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms]
3.42/1.71	(4) YES
3.42/1.71	
3.42/1.71	
3.42/1.71	----------------------------------------
3.42/1.71	
3.42/1.71	(0)
3.42/1.71	Obligation:
3.42/1.71	Q restricted rewrite system:
3.42/1.71	The TRS R consists of the following rules:
3.42/1.71	
3.42/1.71	   q0(a(x1)) -> x(q1(x1))
3.42/1.71	   q1(a(x1)) -> a(q1(x1))
3.42/1.71	   q1(y(x1)) -> y(q1(x1))
3.42/1.71	   a(q1(b(x1))) -> q2(a(y(x1)))
3.42/1.71	   a(q2(a(x1))) -> q2(a(a(x1)))
3.42/1.71	   a(q2(y(x1))) -> q2(a(y(x1)))
3.42/1.71	   y(q1(b(x1))) -> q2(y(y(x1)))
3.42/1.71	   y(q2(a(x1))) -> q2(y(a(x1)))
3.42/1.71	   y(q2(y(x1))) -> q2(y(y(x1)))
3.42/1.71	   q2(x(x1)) -> x(q0(x1))
3.42/1.71	   q0(y(x1)) -> y(q3(x1))
3.42/1.71	   q3(y(x1)) -> y(q3(x1))
3.42/1.71	   q3(bl(x1)) -> bl(q4(x1))
3.42/1.71	
3.42/1.71	Q is empty.
3.42/1.71	
3.42/1.71	----------------------------------------
3.42/1.71	
3.42/1.71	(1) QTRS Reverse (EQUIVALENT)
3.42/1.71	We applied the QTRS Reverse Processor [REVERSE].
3.42/1.71	----------------------------------------
3.42/1.71	
3.42/1.71	(2)
3.42/1.71	Obligation:
3.42/1.71	Q restricted rewrite system:
3.42/1.71	The TRS R consists of the following rules:
3.42/1.71	
3.42/1.71	   a(q0(x1)) -> q1(x(x1))
3.42/1.71	   a(q1(x1)) -> q1(a(x1))
3.42/1.71	   y(q1(x1)) -> q1(y(x1))
3.42/1.71	   b(q1(a(x1))) -> y(a(q2(x1)))
3.42/1.71	   a(q2(a(x1))) -> a(a(q2(x1)))
3.42/1.71	   y(q2(a(x1))) -> y(a(q2(x1)))
3.42/1.71	   b(q1(y(x1))) -> y(y(q2(x1)))
3.42/1.71	   a(q2(y(x1))) -> a(y(q2(x1)))
3.42/1.71	   y(q2(y(x1))) -> y(y(q2(x1)))
3.42/1.71	   x(q2(x1)) -> q0(x(x1))
3.42/1.71	   y(q0(x1)) -> q3(y(x1))
3.42/1.71	   y(q3(x1)) -> q3(y(x1))
3.42/1.71	   bl(q3(x1)) -> q4(bl(x1))
3.42/1.71	
3.42/1.71	Q is empty.
3.42/1.71	
3.42/1.71	----------------------------------------
3.42/1.71	
3.42/1.71	(3) RFCMatchBoundsTRSProof (EQUIVALENT)
3.42/1.71	Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R.
3.42/1.71	The following rules were used to construct the certificate:
3.42/1.71	
3.42/1.71	   a(q0(x1)) -> q1(x(x1))
3.42/1.71	   a(q1(x1)) -> q1(a(x1))
3.42/1.71	   y(q1(x1)) -> q1(y(x1))
3.42/1.71	   b(q1(a(x1))) -> y(a(q2(x1)))
3.42/1.71	   a(q2(a(x1))) -> a(a(q2(x1)))
3.42/1.71	   y(q2(a(x1))) -> y(a(q2(x1)))
3.42/1.71	   b(q1(y(x1))) -> y(y(q2(x1)))
3.42/1.71	   a(q2(y(x1))) -> a(y(q2(x1)))
3.42/1.71	   y(q2(y(x1))) -> y(y(q2(x1)))
3.42/1.71	   x(q2(x1)) -> q0(x(x1))
3.42/1.71	   y(q0(x1)) -> q3(y(x1))
3.42/1.71	   y(q3(x1)) -> q3(y(x1))
3.42/1.71	   bl(q3(x1)) -> q4(bl(x1))
3.42/1.71	
3.42/1.71	The certificate found is represented by the following graph.
3.42/1.71	The certificate consists of the following enumerated nodes:
3.42/1.71	43, 44, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
3.42/1.71	
3.42/1.71	Node 43 is start node and node 44 is final node.
3.42/1.71	
3.42/1.71	Those nodes are connected through the following edges:
3.42/1.71	
3.42/1.71	* 43 to 53 labelled q1_1(0), q0_1(0), q3_1(0)* 43 to 54 labelled y_1(0), a_1(0)* 43 to 56 labelled y_1(0), a_1(0)* 43 to 58 labelled q4_1(0)* 44 to 44 labelled #_1(0)* 53 to 44 labelled x_1(0), a_1(0), y_1(0)* 53 to 59 labelled q0_1(1), q1_1(1), q3_1(1)* 53 to 60 labelled a_1(1), y_1(1)* 53 to 62 labelled a_1(1), y_1(1)* 54 to 55 labelled a_1(0)* 54 to 60 labelled a_1(1)* 54 to 62 labelled a_1(1)* 55 to 44 labelled q2_1(0)* 56 to 57 labelled y_1(0)* 56 to 60 labelled y_1(1)* 56 to 62 labelled y_1(1)* 57 to 44 labelled q2_1(0)* 58 to 44 labelled bl_1(0)* 58 to 64 labelled q4_1(1)* 59 to 44 labelled x_1(1), a_1(1), y_1(1)* 59 to 59 labelled q0_1(1), q1_1(1), q3_1(1)* 59 to 60 labelled a_1(1), y_1(1)* 59 to 62 labelled a_1(1), y_1(1)* 60 to 61 labelled a_1(1)* 60 to 60 labelled a_1(1)* 60 to 62 labelled a_1(1)* 61 to 44 labelled q2_1(1)* 62 to 63 labelled y_1(1)* 62 to 60 labelled y_1(1)* 62 to 62 labelled y_1(1)* 63 to 44 labelled q2_1(1)* 64 to 44 labelled bl_1(1)* 64 to 64 labelled q4_1(1)
3.42/1.71	
3.42/1.71	
3.42/1.71	----------------------------------------
3.42/1.71	
3.42/1.71	(4)
3.42/1.71	YES
3.42/1.74	EOF

popout

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

job log

popout

actions all output return to SRS_Standard 2019-03-29 03.29