details

property	value
status	complete
benchmark	abaaaaaaa-aaaaaaaabaaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n174.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.6963019371 seconds
cpu usage	3.662091879
max memory	2.49147392E8

stage attributes

key	value
output-size	3562
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4) QTRS (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (6) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(a(a(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(a(a(b(a(a(a(b(x1))))))))))))) Q is empty. ---------------------------------------- (1) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(a(a(b(a(a(a(a(a(a(a(a(x1))))))))))))) Q is empty. ---------------------------------------- (3) Strip Symbols Proof (SOUND) We were given the following TRS: a(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(a(a(b(a(a(a(a(a(a(a(a(x1))))))))))))) By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: a(a(a(a(a(a(a(b(x)))))))) -> b(a(a(a(b(a(a(a(a(a(a(a(x)))))))))))) ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(a(a(a(a(a(b(x)))))))) -> b(a(a(a(b(a(a(a(a(a(a(a(x)))))))))))) Q is empty. ---------------------------------------- (5) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. The following rules were used to construct the certificate: a(a(a(a(a(a(a(b(x)))))))) -> b(a(a(a(b(a(a(a(a(a(a(a(x)))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 155, 156, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189 Node 155 is start node and node 156 is final node. Those nodes are connected through the following edges: * 155 to 168 labelled b_1(0)* 156 to 156 labelled #_1(0)* 168 to 169 labelled a_1(0)* 169 to 170 labelled a_1(0)* 170 to 171 labelled a_1(0)* 171 to 172 labelled b_1(0)* 172 to 173 labelled a_1(0)* 172 to 179 labelled b_1(1)* 173 to 174 labelled a_1(0)* 173 to 179 labelled b_1(1)* 174 to 175 labelled a_1(0)* 174 to 179 labelled b_1(1)* 175 to 176 labelled a_1(0)* 175 to 179 labelled b_1(1)* 176 to 177 labelled a_1(0)* 176 to 179 labelled b_1(1)* 177 to 178 labelled a_1(0)* 177 to 179 labelled b_1(1)* 178 to 156 labelled a_1(0)* 178 to 179 labelled b_1(1)* 179 to 180 labelled a_1(1)* 180 to 181 labelled a_1(1)* 181 to 182 labelled a_1(1)* 182 to 183 labelled b_1(1)* 183 to 184 labelled a_1(1)* 183 to 179 labelled b_1(1)* 184 to 185 labelled a_1(1)* 184 to 179 labelled b_1(1)* 185 to 186 labelled a_1(1)* 185 to 179 labelled b_1(1)* 186 to 187 labelled a_1(1)* 186 to 179 labelled b_1(1)* 187 to 188 labelled a_1(1)* 187 to 179 labelled b_1(1)* 188 to 189 labelled a_1(1)* 188 to 179 labelled b_1(1)* 189 to 156 labelled a_1(1)* 189 to 179 labelled b_1(1) ---------------------------------------- (6) YES popout

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

job log

popout

actions

all output return to SRS Standard