details

property	value
status	complete
benchmark	abaaaaaaa-aaaaaaaabab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n055.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.69523 seconds
cpu usage	3.85731
user time	3.68809
system time	0.169218
max virtual memory	3.7642208E7
max residence set size	282476.0

stage attributes

key	value
starexec-result	YES

output

3.42/1.61 YES 3.77/1.65 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.77/1.65 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.77/1.65 3.77/1.65 3.77/1.65 Termination w.r.t. Q of the given QTRS could be proven: 3.77/1.65 3.77/1.65 (0) QTRS 3.77/1.65 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.77/1.65 (2) QTRS 3.77/1.65 (3) Strip Symbols Proof [SOUND, 0 ms] 3.77/1.65 (4) QTRS 3.77/1.65 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.77/1.65 (6) YES 3.77/1.65 3.77/1.65 3.77/1.65 ---------------------------------------- 3.77/1.65 3.77/1.65 (0) 3.77/1.65 Obligation: 3.77/1.65 Q restricted rewrite system: 3.77/1.65 The TRS R consists of the following rules: 3.77/1.65 3.77/1.65 a(b(a(a(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(a(a(b(a(b(x1))))))))))) 3.77/1.65 3.77/1.65 Q is empty. 3.77/1.65 3.77/1.65 ---------------------------------------- 3.77/1.65 3.77/1.65 (1) QTRS Reverse (EQUIVALENT) 3.77/1.65 We applied the QTRS Reverse Processor [REVERSE]. 3.77/1.65 ---------------------------------------- 3.77/1.65 3.77/1.65 (2) 3.77/1.65 Obligation: 3.77/1.65 Q restricted rewrite system: 3.77/1.65 The TRS R consists of the following rules: 3.77/1.65 3.77/1.65 a(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(b(a(a(a(a(a(a(a(a(x1))))))))))) 3.77/1.65 3.77/1.65 Q is empty. 3.77/1.65 3.77/1.65 ---------------------------------------- 3.77/1.65 3.77/1.65 (3) Strip Symbols Proof (SOUND) 3.77/1.65 We were given the following TRS: 3.77/1.65 3.77/1.65 a(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(b(a(a(a(a(a(a(a(a(x1))))))))))) 3.77/1.65 3.77/1.65 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.77/1.65 3.77/1.65 a(a(a(a(a(a(a(b(x)))))))) -> b(a(b(a(a(a(a(a(a(a(x)))))))))) 3.77/1.65 3.77/1.65 ---------------------------------------- 3.77/1.65 3.77/1.65 (4) 3.77/1.65 Obligation: 3.77/1.65 Q restricted rewrite system: 3.77/1.65 The TRS R consists of the following rules: 3.77/1.65 3.77/1.65 a(a(a(a(a(a(a(b(x)))))))) -> b(a(b(a(a(a(a(a(a(a(x)))))))))) 3.77/1.65 3.77/1.65 Q is empty. 3.77/1.65 3.77/1.65 ---------------------------------------- 3.77/1.65 3.77/1.65 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.77/1.65 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.77/1.65 The following rules were used to construct the certificate: 3.77/1.65 3.77/1.65 a(a(a(a(a(a(a(b(x)))))))) -> b(a(b(a(a(a(a(a(a(a(x)))))))))) 3.77/1.65 3.77/1.65 The certificate found is represented by the following graph. 3.77/1.65 The certificate consists of the following enumerated nodes: 3.77/1.65 167, 168, 178, 179, 180, 181, 182, 183, 184, 185, 186, 196, 197, 198, 199, 200, 201, 202, 203, 204 3.77/1.65 3.77/1.65 Node 167 is start node and node 168 is final node. 3.77/1.65 3.77/1.65 Those nodes are connected through the following edges: 3.77/1.65 3.77/1.65 * 167 to 178 labelled b_1(0)* 168 to 168 labelled #_1(0)* 178 to 179 labelled a_1(0)* 179 to 180 labelled b_1(0)* 180 to 181 labelled a_1(0)* 180 to 196 labelled b_1(1)* 181 to 182 labelled a_1(0)* 181 to 196 labelled b_1(1)* 182 to 183 labelled a_1(0)* 182 to 196 labelled b_1(1)* 183 to 184 labelled a_1(0)* 183 to 196 labelled b_1(1)* 184 to 185 labelled a_1(0)* 184 to 196 labelled b_1(1)* 185 to 186 labelled a_1(0)* 185 to 196 labelled b_1(1)* 186 to 168 labelled a_1(0)* 186 to 196 labelled b_1(1)* 196 to 197 labelled a_1(1)* 197 to 198 labelled b_1(1)* 198 to 199 labelled a_1(1)* 198 to 196 labelled b_1(1)* 199 to 200 labelled a_1(1)* 199 to 196 labelled b_1(1)* 200 to 201 labelled a_1(1)* 200 to 196 labelled b_1(1)* 201 to 202 labelled a_1(1)* 201 to 196 labelled b_1(1)* 202 to 203 labelled a_1(1)* 202 to 196 labelled b_1(1)* 203 to 204 labelled a_1(1)* 203 to 196 labelled b_1(1)* 204 to 168 labelled a_1(1)* 204 to 196 labelled b_1(1) 3.77/1.65 3.77/1.65 3.77/1.65 ---------------------------------------- 3.77/1.65 3.77/1.65 (6) 3.77/1.65 YES 3.77/1.69 EOF popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to SRS_Standard 2019-03-29 03.29