details

property	value
status	complete
benchmark	abaaaaaaa-aaaaaaaababaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n077.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.72462415695 seconds
cpu usage	4.123477236
max memory	2.41917952E8

stage attributes

key	value
output-size	3646
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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(b(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(b(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(b(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(b(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(b(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(b(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: 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331 Node 306 is start node and node 307 is final node. Those nodes are connected through the following edges: * 306 to 308 labelled b_1(0)* 307 to 307 labelled #_1(0)* 308 to 309 labelled a_1(0)* 309 to 310 labelled a_1(0)* 310 to 311 labelled b_1(0)* 311 to 312 labelled a_1(0)* 312 to 313 labelled b_1(0)* 313 to 314 labelled a_1(0)* 313 to 320 labelled b_1(1)* 314 to 315 labelled a_1(0)* 314 to 320 labelled b_1(1)* 315 to 316 labelled a_1(0)* 315 to 320 labelled b_1(1)* 316 to 317 labelled a_1(0)* 316 to 320 labelled b_1(1)* 317 to 318 labelled a_1(0)* 317 to 320 labelled b_1(1)* 318 to 319 labelled a_1(0)* 318 to 320 labelled b_1(1)* 319 to 307 labelled a_1(0)* 319 to 320 labelled b_1(1)* 320 to 321 labelled a_1(1)* 321 to 322 labelled a_1(1)* 322 to 323 labelled b_1(1)* 323 to 324 labelled a_1(1)* 324 to 325 labelled b_1(1)* 325 to 326 labelled a_1(1)* 325 to 320 labelled b_1(1)* 326 to 327 labelled a_1(1)* 326 to 320 labelled b_1(1)* 327 to 328 labelled a_1(1)* 327 to 320 labelled b_1(1)* 328 to 329 labelled a_1(1)* 328 to 320 labelled b_1(1)* 329 to 330 labelled a_1(1)* 329 to 320 labelled b_1(1)* 330 to 331 labelled a_1(1)* 330 to 320 labelled b_1(1)* 331 to 307 labelled a_1(1)* 331 to 320 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 Stand 10685