details

property	value
status	complete
benchmark	baabaabbaab-aabbaabaabaabb.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n103.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.75057 seconds
cpu usage	3.79447
user time	3.61584
system time	0.178627
max virtual memory	1.914212E7
max residence set size	305948.0

stage attributes

key	value
starexec-result	YES

output

3.53/1.69 YES 3.68/1.72 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.68/1.72 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.68/1.72 3.68/1.72 3.68/1.72 Termination w.r.t. Q of the given QTRS could be proven: 3.68/1.72 3.68/1.72 (0) QTRS 3.68/1.72 (1) Strip Symbols Proof [SOUND, 0 ms] 3.68/1.72 (2) QTRS 3.68/1.72 (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.68/1.72 (4) YES 3.68/1.72 3.68/1.72 3.68/1.72 ---------------------------------------- 3.68/1.72 3.68/1.72 (0) 3.68/1.72 Obligation: 3.68/1.72 Q restricted rewrite system: 3.68/1.72 The TRS R consists of the following rules: 3.68/1.72 3.68/1.72 b(a(a(b(a(a(b(b(a(a(b(x1))))))))))) -> a(a(b(b(a(a(b(a(a(b(a(a(b(b(x1)))))))))))))) 3.68/1.72 3.68/1.72 Q is empty. 3.68/1.72 3.68/1.72 ---------------------------------------- 3.68/1.72 3.68/1.72 (1) Strip Symbols Proof (SOUND) 3.68/1.72 We were given the following TRS: 3.68/1.72 3.68/1.72 b(a(a(b(a(a(b(b(a(a(b(x1))))))))))) -> a(a(b(b(a(a(b(a(a(b(a(a(b(b(x1)))))))))))))) 3.68/1.72 3.68/1.72 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.68/1.72 3.68/1.72 b(a(a(b(a(a(b(b(a(a(x)))))))))) -> a(a(b(b(a(a(b(a(a(b(a(a(b(x))))))))))))) 3.68/1.72 3.68/1.72 ---------------------------------------- 3.68/1.72 3.68/1.72 (2) 3.68/1.72 Obligation: 3.68/1.72 Q restricted rewrite system: 3.68/1.72 The TRS R consists of the following rules: 3.68/1.72 3.68/1.72 b(a(a(b(a(a(b(b(a(a(x)))))))))) -> a(a(b(b(a(a(b(a(a(b(a(a(b(x))))))))))))) 3.68/1.72 3.68/1.72 Q is empty. 3.68/1.72 3.68/1.72 ---------------------------------------- 3.68/1.72 3.68/1.72 (3) RFCMatchBoundsTRSProof (EQUIVALENT) 3.68/1.72 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.68/1.72 The following rules were used to construct the certificate: 3.68/1.72 3.68/1.72 b(a(a(b(a(a(b(b(a(a(x)))))))))) -> a(a(b(b(a(a(b(a(a(b(a(a(b(x))))))))))))) 3.68/1.72 3.68/1.72 The certificate found is represented by the following graph. 3.68/1.72 The certificate consists of the following enumerated nodes: 3.68/1.72 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210 3.68/1.72 3.68/1.72 Node 185 is start node and node 186 is final node. 3.68/1.72 3.68/1.72 Those nodes are connected through the following edges: 3.68/1.72 3.68/1.72 * 185 to 187 labelled a_1(0)* 186 to 186 labelled #_1(0)* 187 to 188 labelled a_1(0)* 188 to 189 labelled b_1(0)* 189 to 190 labelled b_1(0)* 190 to 191 labelled a_1(0)* 191 to 192 labelled a_1(0)* 192 to 193 labelled b_1(0)* 192 to 199 labelled a_1(1)* 193 to 194 labelled a_1(0)* 194 to 195 labelled a_1(0)* 195 to 196 labelled b_1(0)* 195 to 199 labelled a_1(1)* 196 to 197 labelled a_1(0)* 197 to 198 labelled a_1(0)* 198 to 186 labelled b_1(0)* 198 to 199 labelled a_1(1)* 199 to 200 labelled a_1(1)* 200 to 201 labelled b_1(1)* 201 to 202 labelled b_1(1)* 202 to 203 labelled a_1(1)* 203 to 204 labelled a_1(1)* 204 to 205 labelled b_1(1)* 204 to 199 labelled a_1(1)* 205 to 206 labelled a_1(1)* 206 to 207 labelled a_1(1)* 207 to 208 labelled b_1(1)* 207 to 199 labelled a_1(1)* 208 to 209 labelled a_1(1)* 209 to 210 labelled a_1(1)* 210 to 186 labelled b_1(1)* 210 to 199 labelled a_1(1) 3.68/1.72 3.68/1.72 3.68/1.72 ---------------------------------------- 3.68/1.72 3.68/1.72 (4) 3.68/1.72 YES 3.68/1.75 EOF popout

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all output return to SRS_Standard 2019-03-29 03.29