details

property	value
status	complete
benchmark	abaabaaaaa-aaaaaabaabaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n105.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.69658 seconds
cpu usage	3.88677
user time	3.69841
system time	0.18836
max virtual memory	3.7373432E7
max residence set size	288844.0

stage attributes

key	value
starexec-result	YES

output

3.49/1.63 YES 3.49/1.67 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.49/1.67 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.49/1.67 3.49/1.67 3.49/1.67 Termination w.r.t. Q of the given QTRS could be proven: 3.49/1.67 3.49/1.67 (0) QTRS 3.49/1.67 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.49/1.67 (2) QTRS 3.49/1.67 (3) Strip Symbols Proof [SOUND, 0 ms] 3.49/1.67 (4) QTRS 3.49/1.67 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.49/1.67 (6) YES 3.49/1.67 3.49/1.67 3.49/1.67 ---------------------------------------- 3.49/1.67 3.49/1.67 (0) 3.49/1.67 Obligation: 3.49/1.67 Q restricted rewrite system: 3.49/1.67 The TRS R consists of the following rules: 3.49/1.67 3.49/1.67 a(b(a(a(b(a(a(a(a(a(x1)))))))))) -> a(a(a(a(a(a(b(a(a(b(a(a(b(x1))))))))))))) 3.49/1.67 3.49/1.67 Q is empty. 3.49/1.67 3.49/1.67 ---------------------------------------- 3.49/1.67 3.49/1.67 (1) QTRS Reverse (EQUIVALENT) 3.49/1.67 We applied the QTRS Reverse Processor [REVERSE]. 3.49/1.67 ---------------------------------------- 3.49/1.67 3.49/1.67 (2) 3.49/1.67 Obligation: 3.49/1.67 Q restricted rewrite system: 3.49/1.67 The TRS R consists of the following rules: 3.49/1.67 3.49/1.67 a(a(a(a(a(b(a(a(b(a(x1)))))))))) -> b(a(a(b(a(a(b(a(a(a(a(a(a(x1))))))))))))) 3.49/1.67 3.49/1.67 Q is empty. 3.49/1.67 3.49/1.67 ---------------------------------------- 3.49/1.67 3.49/1.67 (3) Strip Symbols Proof (SOUND) 3.49/1.67 We were given the following TRS: 3.49/1.67 3.49/1.67 a(a(a(a(a(b(a(a(b(a(x1)))))))))) -> b(a(a(b(a(a(b(a(a(a(a(a(a(x1))))))))))))) 3.49/1.67 3.49/1.67 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.49/1.67 3.49/1.67 a(a(a(a(a(b(a(a(b(x))))))))) -> b(a(a(b(a(a(b(a(a(a(a(a(x)))))))))))) 3.49/1.67 3.49/1.67 ---------------------------------------- 3.49/1.67 3.49/1.67 (4) 3.49/1.67 Obligation: 3.49/1.67 Q restricted rewrite system: 3.49/1.67 The TRS R consists of the following rules: 3.49/1.67 3.49/1.67 a(a(a(a(a(b(a(a(b(x))))))))) -> b(a(a(b(a(a(b(a(a(a(a(a(x)))))))))))) 3.49/1.67 3.49/1.67 Q is empty. 3.49/1.67 3.49/1.67 ---------------------------------------- 3.49/1.67 3.49/1.67 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.49/1.67 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.49/1.67 The following rules were used to construct the certificate: 3.49/1.67 3.49/1.67 a(a(a(a(a(b(a(a(b(x))))))))) -> b(a(a(b(a(a(b(a(a(a(a(a(x)))))))))))) 3.49/1.67 3.49/1.67 The certificate found is represented by the following graph. 3.49/1.67 The certificate consists of the following enumerated nodes: 3.49/1.67 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157 3.49/1.67 3.49/1.67 Node 134 is start node and node 135 is final node. 3.49/1.67 3.49/1.67 Those nodes are connected through the following edges: 3.49/1.67 3.49/1.67 * 134 to 136 labelled b_1(0)* 135 to 135 labelled #_1(0)* 136 to 137 labelled a_1(0)* 137 to 138 labelled a_1(0)* 138 to 139 labelled b_1(0)* 139 to 140 labelled a_1(0)* 140 to 141 labelled a_1(0)* 141 to 142 labelled b_1(0)* 142 to 143 labelled a_1(0)* 142 to 147 labelled b_1(1)* 143 to 144 labelled a_1(0)* 143 to 147 labelled b_1(1)* 144 to 145 labelled a_1(0)* 144 to 147 labelled b_1(1)* 145 to 146 labelled a_1(0)* 145 to 147 labelled b_1(1)* 146 to 135 labelled a_1(0)* 146 to 147 labelled b_1(1)* 147 to 148 labelled a_1(1)* 148 to 149 labelled a_1(1)* 149 to 150 labelled b_1(1)* 150 to 151 labelled a_1(1)* 151 to 152 labelled a_1(1)* 152 to 153 labelled b_1(1)* 153 to 154 labelled a_1(1)* 153 to 147 labelled b_1(1)* 154 to 155 labelled a_1(1)* 154 to 147 labelled b_1(1)* 155 to 156 labelled a_1(1)* 155 to 147 labelled b_1(1)* 156 to 157 labelled a_1(1)* 156 to 147 labelled b_1(1)* 157 to 135 labelled a_1(1)* 157 to 147 labelled b_1(1) 3.49/1.67 3.49/1.67 3.49/1.67 ---------------------------------------- 3.49/1.67 3.49/1.67 (6) 3.49/1.67 YES 3.87/1.69 EOF popout

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