details

property	value
status	complete
benchmark	abaaaaaaa-aaaaaaaabaaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n092.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.70043 seconds
cpu usage	3.72658
user time	3.5549
system time	0.171683
max virtual memory	7.51662E7
max residence set size	298516.0

stage attributes

key	value
starexec-result	YES

output

3.23/1.63 YES 3.57/1.67 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.57/1.67 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.57/1.67 3.57/1.67 3.57/1.67 Termination w.r.t. Q of the given QTRS could be proven: 3.57/1.67 3.57/1.67 (0) QTRS 3.57/1.67 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.57/1.67 (2) QTRS 3.57/1.67 (3) Strip Symbols Proof [SOUND, 0 ms] 3.57/1.67 (4) QTRS 3.57/1.67 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 3 ms] 3.57/1.67 (6) YES 3.57/1.67 3.57/1.67 3.57/1.67 ---------------------------------------- 3.57/1.67 3.57/1.67 (0) 3.57/1.67 Obligation: 3.57/1.67 Q restricted rewrite system: 3.57/1.67 The TRS R consists of the following rules: 3.57/1.67 3.57/1.67 a(b(a(a(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(a(a(b(a(a(a(b(x1))))))))))))) 3.57/1.67 3.57/1.67 Q is empty. 3.57/1.67 3.57/1.67 ---------------------------------------- 3.57/1.67 3.57/1.67 (1) QTRS Reverse (EQUIVALENT) 3.57/1.67 We applied the QTRS Reverse Processor [REVERSE]. 3.57/1.67 ---------------------------------------- 3.57/1.67 3.57/1.67 (2) 3.57/1.67 Obligation: 3.57/1.67 Q restricted rewrite system: 3.57/1.67 The TRS R consists of the following rules: 3.57/1.67 3.57/1.67 a(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(a(a(b(a(a(a(a(a(a(a(a(x1))))))))))))) 3.57/1.67 3.57/1.67 Q is empty. 3.57/1.67 3.57/1.67 ---------------------------------------- 3.57/1.67 3.57/1.67 (3) Strip Symbols Proof (SOUND) 3.57/1.67 We were given the following TRS: 3.57/1.67 3.57/1.67 a(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(a(a(b(a(a(a(a(a(a(a(a(x1))))))))))))) 3.57/1.67 3.57/1.67 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.57/1.67 3.57/1.67 a(a(a(a(a(a(a(b(x)))))))) -> b(a(a(a(b(a(a(a(a(a(a(a(x)))))))))))) 3.57/1.67 3.57/1.67 ---------------------------------------- 3.57/1.67 3.57/1.67 (4) 3.57/1.67 Obligation: 3.57/1.67 Q restricted rewrite system: 3.57/1.67 The TRS R consists of the following rules: 3.57/1.67 3.57/1.67 a(a(a(a(a(a(a(b(x)))))))) -> b(a(a(a(b(a(a(a(a(a(a(a(x)))))))))))) 3.57/1.67 3.57/1.67 Q is empty. 3.57/1.67 3.57/1.67 ---------------------------------------- 3.57/1.67 3.57/1.67 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.57/1.67 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.57/1.67 The following rules were used to construct the certificate: 3.57/1.67 3.57/1.67 a(a(a(a(a(a(a(b(x)))))))) -> b(a(a(a(b(a(a(a(a(a(a(a(x)))))))))))) 3.57/1.67 3.57/1.67 The certificate found is represented by the following graph. 3.57/1.67 The certificate consists of the following enumerated nodes: 3.57/1.67 7, 8, 35, 38, 40, 42, 45, 47, 49, 51, 52, 53, 54, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121 3.57/1.67 3.57/1.67 Node 7 is start node and node 8 is final node. 3.57/1.67 3.57/1.67 Those nodes are connected through the following edges: 3.57/1.67 3.57/1.67 * 7 to 35 labelled b_1(0)* 8 to 8 labelled #_1(0)* 35 to 38 labelled a_1(0)* 38 to 40 labelled a_1(0)* 40 to 42 labelled a_1(0)* 42 to 45 labelled b_1(0)* 45 to 47 labelled a_1(0)* 45 to 111 labelled b_1(1)* 47 to 49 labelled a_1(0)* 47 to 111 labelled b_1(1)* 49 to 51 labelled a_1(0)* 49 to 111 labelled b_1(1)* 51 to 52 labelled a_1(0)* 51 to 111 labelled b_1(1)* 52 to 53 labelled a_1(0)* 52 to 111 labelled b_1(1)* 53 to 54 labelled a_1(0)* 53 to 111 labelled b_1(1)* 54 to 8 labelled a_1(0)* 54 to 111 labelled b_1(1)* 111 to 112 labelled a_1(1)* 112 to 113 labelled a_1(1)* 113 to 114 labelled a_1(1)* 114 to 115 labelled b_1(1)* 115 to 116 labelled a_1(1)* 115 to 111 labelled b_1(1)* 116 to 117 labelled a_1(1)* 116 to 111 labelled b_1(1)* 117 to 118 labelled a_1(1)* 117 to 111 labelled b_1(1)* 118 to 119 labelled a_1(1)* 118 to 111 labelled b_1(1)* 119 to 120 labelled a_1(1)* 119 to 111 labelled b_1(1)* 120 to 121 labelled a_1(1)* 120 to 111 labelled b_1(1)* 121 to 8 labelled a_1(1)* 121 to 111 labelled b_1(1) 3.57/1.67 3.57/1.67 3.57/1.67 ---------------------------------------- 3.57/1.67 3.57/1.67 (6) 3.57/1.67 YES 3.70/1.70 EOF popout

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