details

property	value
status	complete
benchmark	abbbaaaaa-aaaaaabbbaabbb.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n006.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.77221 seconds
cpu usage	3.94246
user time	3.76214
system time	0.180323
max virtual memory	1.8878148E7
max residence set size	290828.0

stage attributes

key	value
starexec-result	YES

output

3.57/1.67 YES 3.70/1.74 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.70/1.74 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.70/1.74 3.70/1.74 3.70/1.74 Termination w.r.t. Q of the given QTRS could be proven: 3.70/1.74 3.70/1.74 (0) QTRS 3.70/1.74 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.70/1.74 (2) QTRS 3.70/1.74 (3) Strip Symbols Proof [SOUND, 0 ms] 3.70/1.74 (4) QTRS 3.70/1.74 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.70/1.74 (6) YES 3.70/1.74 3.70/1.74 3.70/1.74 ---------------------------------------- 3.70/1.74 3.70/1.74 (0) 3.70/1.74 Obligation: 3.70/1.74 Q restricted rewrite system: 3.70/1.74 The TRS R consists of the following rules: 3.70/1.74 3.70/1.74 a(b(b(b(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(b(b(b(a(a(b(b(b(x1)))))))))))))) 3.70/1.74 3.70/1.74 Q is empty. 3.70/1.74 3.70/1.74 ---------------------------------------- 3.70/1.74 3.70/1.74 (1) QTRS Reverse (EQUIVALENT) 3.70/1.74 We applied the QTRS Reverse Processor [REVERSE]. 3.70/1.74 ---------------------------------------- 3.70/1.74 3.70/1.74 (2) 3.70/1.74 Obligation: 3.70/1.74 Q restricted rewrite system: 3.70/1.74 The TRS R consists of the following rules: 3.70/1.74 3.70/1.74 a(a(a(a(a(b(b(b(a(x1))))))))) -> b(b(b(a(a(b(b(b(a(a(a(a(a(a(x1)))))))))))))) 3.70/1.74 3.70/1.74 Q is empty. 3.70/1.74 3.70/1.74 ---------------------------------------- 3.70/1.74 3.70/1.74 (3) Strip Symbols Proof (SOUND) 3.70/1.74 We were given the following TRS: 3.70/1.74 3.70/1.74 a(a(a(a(a(b(b(b(a(x1))))))))) -> b(b(b(a(a(b(b(b(a(a(a(a(a(a(x1)))))))))))))) 3.70/1.74 3.70/1.74 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.70/1.74 3.70/1.74 a(a(a(a(a(b(b(b(x)))))))) -> b(b(b(a(a(b(b(b(a(a(a(a(a(x))))))))))))) 3.70/1.74 3.70/1.74 ---------------------------------------- 3.70/1.74 3.70/1.74 (4) 3.70/1.74 Obligation: 3.70/1.74 Q restricted rewrite system: 3.70/1.74 The TRS R consists of the following rules: 3.70/1.74 3.70/1.74 a(a(a(a(a(b(b(b(x)))))))) -> b(b(b(a(a(b(b(b(a(a(a(a(a(x))))))))))))) 3.70/1.74 3.70/1.74 Q is empty. 3.70/1.74 3.70/1.74 ---------------------------------------- 3.70/1.74 3.70/1.74 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.70/1.74 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.70/1.74 The following rules were used to construct the certificate: 3.70/1.74 3.70/1.74 a(a(a(a(a(b(b(b(x)))))))) -> b(b(b(a(a(b(b(b(a(a(a(a(a(x))))))))))))) 3.70/1.74 3.70/1.74 The certificate found is represented by the following graph. 3.70/1.74 The certificate consists of the following enumerated nodes: 3.70/1.74 136, 137, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173 3.70/1.74 3.70/1.74 Node 136 is start node and node 137 is final node. 3.70/1.74 3.70/1.74 Those nodes are connected through the following edges: 3.70/1.74 3.70/1.74 * 136 to 150 labelled b_1(0)* 137 to 137 labelled #_1(0)* 150 to 151 labelled b_1(0)* 151 to 152 labelled b_1(0)* 152 to 153 labelled a_1(0)* 153 to 154 labelled a_1(0)* 154 to 155 labelled b_1(0)* 155 to 156 labelled b_1(0)* 156 to 157 labelled b_1(0)* 157 to 158 labelled a_1(0)* 157 to 162 labelled b_1(1)* 158 to 159 labelled a_1(0)* 158 to 162 labelled b_1(1)* 159 to 160 labelled a_1(0)* 159 to 162 labelled b_1(1)* 160 to 161 labelled a_1(0)* 160 to 162 labelled b_1(1)* 161 to 137 labelled a_1(0)* 161 to 162 labelled b_1(1)* 162 to 163 labelled b_1(1)* 163 to 164 labelled b_1(1)* 164 to 165 labelled a_1(1)* 165 to 166 labelled a_1(1)* 166 to 167 labelled b_1(1)* 167 to 168 labelled b_1(1)* 168 to 169 labelled b_1(1)* 169 to 170 labelled a_1(1)* 169 to 162 labelled b_1(1)* 170 to 171 labelled a_1(1)* 170 to 162 labelled b_1(1)* 171 to 172 labelled a_1(1)* 171 to 162 labelled b_1(1)* 172 to 173 labelled a_1(1)* 172 to 162 labelled b_1(1)* 173 to 137 labelled a_1(1)* 173 to 162 labelled b_1(1) 3.70/1.74 3.70/1.74 3.70/1.74 ---------------------------------------- 3.70/1.74 3.70/1.74 (6) 3.70/1.74 YES 3.92/1.77 EOF popout

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