details

property	value
status	complete
benchmark	aabbaabababa-aabababaabbaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n034.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.81218 seconds
cpu usage	4.18002
user time	3.97177
system time	0.20825
max virtual memory	1.8942884E7
max residence set size	359180.0

stage attributes

key	value
starexec-result	YES

output

3.85/1.72 YES 4.11/1.79 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 4.11/1.79 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.11/1.79 4.11/1.79 4.11/1.79 Termination w.r.t. Q of the given QTRS could be proven: 4.11/1.79 4.11/1.79 (0) QTRS 4.11/1.79 (1) QTRS Reverse [EQUIVALENT, 0 ms] 4.11/1.79 (2) QTRS 4.11/1.79 (3) Strip Symbols Proof [SOUND, 0 ms] 4.11/1.79 (4) QTRS 4.11/1.79 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 4 ms] 4.11/1.79 (6) YES 4.11/1.79 4.11/1.79 4.11/1.79 ---------------------------------------- 4.11/1.79 4.11/1.79 (0) 4.11/1.79 Obligation: 4.11/1.79 Q restricted rewrite system: 4.11/1.79 The TRS R consists of the following rules: 4.11/1.79 4.11/1.79 a(a(b(b(a(a(b(a(b(a(b(a(x1)))))))))))) -> a(a(b(a(b(a(b(a(a(b(b(a(a(b(x1)))))))))))))) 4.11/1.79 4.11/1.79 Q is empty. 4.11/1.79 4.11/1.79 ---------------------------------------- 4.11/1.79 4.11/1.79 (1) QTRS Reverse (EQUIVALENT) 4.11/1.79 We applied the QTRS Reverse Processor [REVERSE]. 4.11/1.79 ---------------------------------------- 4.11/1.79 4.11/1.79 (2) 4.11/1.79 Obligation: 4.11/1.79 Q restricted rewrite system: 4.11/1.79 The TRS R consists of the following rules: 4.11/1.79 4.11/1.79 a(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))))) 4.11/1.79 4.11/1.79 Q is empty. 4.11/1.79 4.11/1.79 ---------------------------------------- 4.11/1.79 4.11/1.79 (3) Strip Symbols Proof (SOUND) 4.11/1.79 We were given the following TRS: 4.11/1.79 4.11/1.79 a(b(a(b(a(b(a(a(b(b(a(a(x1)))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(a(x1)))))))))))))) 4.11/1.79 4.11/1.79 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 4.11/1.79 4.11/1.79 a(b(a(b(a(b(a(a(b(b(a(x))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(x))))))))))))) 4.11/1.79 4.11/1.79 ---------------------------------------- 4.11/1.79 4.11/1.79 (4) 4.11/1.79 Obligation: 4.11/1.79 Q restricted rewrite system: 4.11/1.79 The TRS R consists of the following rules: 4.11/1.79 4.11/1.79 a(b(a(b(a(b(a(a(b(b(a(x))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(x))))))))))))) 4.11/1.79 4.11/1.79 Q is empty. 4.11/1.79 4.11/1.79 ---------------------------------------- 4.11/1.79 4.11/1.79 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 4.11/1.79 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 4.11/1.79 The following rules were used to construct the certificate: 4.11/1.79 4.11/1.79 a(b(a(b(a(b(a(a(b(b(a(x))))))))))) -> b(a(a(b(b(a(a(b(a(b(a(b(a(x))))))))))))) 4.11/1.79 4.11/1.79 The certificate found is represented by the following graph. 4.11/1.79 The certificate consists of the following enumerated nodes: 4.11/1.79 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198 4.11/1.79 4.11/1.79 Node 173 is start node and node 174 is final node. 4.11/1.79 4.11/1.79 Those nodes are connected through the following edges: 4.11/1.79 4.11/1.79 * 173 to 175 labelled b_1(0)* 174 to 174 labelled #_1(0)* 175 to 176 labelled a_1(0)* 176 to 177 labelled a_1(0)* 177 to 178 labelled b_1(0)* 178 to 179 labelled b_1(0)* 179 to 180 labelled a_1(0)* 180 to 181 labelled a_1(0)* 180 to 187 labelled b_1(1)* 181 to 182 labelled b_1(0)* 182 to 183 labelled a_1(0)* 182 to 187 labelled b_1(1)* 183 to 184 labelled b_1(0)* 184 to 185 labelled a_1(0)* 184 to 187 labelled b_1(1)* 185 to 186 labelled b_1(0)* 186 to 174 labelled a_1(0)* 186 to 187 labelled b_1(1)* 187 to 188 labelled a_1(1)* 188 to 189 labelled a_1(1)* 189 to 190 labelled b_1(1)* 190 to 191 labelled b_1(1)* 191 to 192 labelled a_1(1)* 192 to 193 labelled a_1(1)* 192 to 187 labelled b_1(1)* 193 to 194 labelled b_1(1)* 194 to 195 labelled a_1(1)* 194 to 187 labelled b_1(1)* 195 to 196 labelled b_1(1)* 196 to 197 labelled a_1(1)* 196 to 187 labelled b_1(1)* 197 to 198 labelled b_1(1)* 198 to 174 labelled a_1(1)* 198 to 187 labelled b_1(1) 4.11/1.79 4.11/1.79 4.11/1.79 ---------------------------------------- 4.11/1.79 4.11/1.79 (6) 4.11/1.79 YES 4.11/1.81 EOF popout

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all output return to SRS_Standard 2019-03-29 03.29