details

property	value
status	complete
benchmark	hom03.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n035.star.cs.uiowa.edu
space	Trafo_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.66866 seconds
cpu usage	3.694
user time	3.54582
system time	0.148182
max virtual memory	1.8942996E7
max residence set size	274040.0

stage attributes

key	value
starexec-result	YES

output

3.18/1.60 YES 3.50/1.64 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.50/1.64 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.50/1.64 3.50/1.64 3.50/1.64 Termination w.r.t. Q of the given QTRS could be proven: 3.50/1.64 3.50/1.64 (0) QTRS 3.50/1.64 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.50/1.64 (2) QTRS 3.50/1.64 (3) Strip Symbols Proof [SOUND, 0 ms] 3.50/1.64 (4) QTRS 3.50/1.64 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 3 ms] 3.50/1.64 (6) YES 3.50/1.64 3.50/1.64 3.50/1.64 ---------------------------------------- 3.50/1.64 3.50/1.64 (0) 3.50/1.64 Obligation: 3.50/1.64 Q restricted rewrite system: 3.50/1.64 The TRS R consists of the following rules: 3.50/1.64 3.50/1.64 a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) 3.50/1.64 3.50/1.64 Q is empty. 3.50/1.64 3.50/1.64 ---------------------------------------- 3.50/1.64 3.50/1.64 (1) QTRS Reverse (EQUIVALENT) 3.50/1.64 We applied the QTRS Reverse Processor [REVERSE]. 3.50/1.64 ---------------------------------------- 3.50/1.64 3.50/1.64 (2) 3.50/1.64 Obligation: 3.50/1.64 Q restricted rewrite system: 3.50/1.64 The TRS R consists of the following rules: 3.50/1.64 3.50/1.64 a(a(a(c(b(a(c(b(a(x1))))))))) -> c(b(a(c(b(a(c(b(a(a(a(a(x1)))))))))))) 3.50/1.64 3.50/1.64 Q is empty. 3.50/1.64 3.50/1.64 ---------------------------------------- 3.50/1.64 3.50/1.64 (3) Strip Symbols Proof (SOUND) 3.50/1.64 We were given the following TRS: 3.50/1.64 3.50/1.64 a(a(a(c(b(a(c(b(a(x1))))))))) -> c(b(a(c(b(a(c(b(a(a(a(a(x1)))))))))))) 3.50/1.64 3.50/1.64 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.50/1.64 3.50/1.64 a(a(a(c(b(a(c(b(x)))))))) -> c(b(a(c(b(a(c(b(a(a(a(x))))))))))) 3.50/1.64 3.50/1.64 ---------------------------------------- 3.50/1.64 3.50/1.64 (4) 3.50/1.64 Obligation: 3.50/1.64 Q restricted rewrite system: 3.50/1.64 The TRS R consists of the following rules: 3.50/1.64 3.50/1.64 a(a(a(c(b(a(c(b(x)))))))) -> c(b(a(c(b(a(c(b(a(a(a(x))))))))))) 3.50/1.64 3.50/1.64 Q is empty. 3.50/1.64 3.50/1.64 ---------------------------------------- 3.50/1.64 3.50/1.64 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.50/1.64 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.50/1.64 The following rules were used to construct the certificate: 3.50/1.64 3.50/1.64 a(a(a(c(b(a(c(b(x)))))))) -> c(b(a(c(b(a(c(b(a(a(a(x))))))))))) 3.50/1.64 3.50/1.64 The certificate found is represented by the following graph. 3.50/1.64 The certificate consists of the following enumerated nodes: 3.50/1.64 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176 3.50/1.64 3.50/1.64 Node 155 is start node and node 156 is final node. 3.50/1.64 3.50/1.64 Those nodes are connected through the following edges: 3.50/1.64 3.50/1.64 * 155 to 157 labelled c_1(0)* 156 to 156 labelled #_1(0)* 157 to 158 labelled b_1(0)* 158 to 159 labelled a_1(0)* 159 to 160 labelled c_1(0)* 160 to 161 labelled b_1(0)* 161 to 162 labelled a_1(0)* 162 to 163 labelled c_1(0)* 163 to 164 labelled b_1(0)* 164 to 165 labelled a_1(0)* 164 to 167 labelled c_1(1)* 165 to 166 labelled a_1(0)* 165 to 167 labelled c_1(1)* 166 to 156 labelled a_1(0)* 166 to 167 labelled c_1(1)* 167 to 168 labelled b_1(1)* 168 to 169 labelled a_1(1)* 169 to 170 labelled c_1(1)* 170 to 171 labelled b_1(1)* 171 to 172 labelled a_1(1)* 172 to 173 labelled c_1(1)* 173 to 174 labelled b_1(1)* 174 to 175 labelled a_1(1)* 174 to 167 labelled c_1(1)* 175 to 176 labelled a_1(1)* 175 to 167 labelled c_1(1)* 176 to 156 labelled a_1(1)* 176 to 167 labelled c_1(1) 3.50/1.64 3.50/1.64 3.50/1.64 ---------------------------------------- 3.50/1.64 3.50/1.64 (6) 3.50/1.64 YES 3.50/1.66 EOF popout

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all output return to SRS_Standard 2019-03-29 03.29