details

property	value
status	complete
benchmark	abaaaaaa-aaaaaaabaaaaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n040.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.746571064 seconds
cpu usage	3.781952535
max memory	2.20667904E8

stage attributes

key	value
output-size	3554
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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(x1)))))))) -> a(a(a(a(a(a(a(b(a(a(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(b(a(x1)))))))) -> b(a(a(a(a(a(b(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(b(a(x1)))))))) -> b(a(a(a(a(a(b(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(b(x))))))) -> b(a(a(a(a(a(b(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(b(x))))))) -> b(a(a(a(a(a(b(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(b(x))))))) -> b(a(a(a(a(a(b(a(a(a(a(a(a(x))))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 3, 4, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374 Node 3 is start node and node 4 is final node. Those nodes are connected through the following edges: * 3 to 339 labelled b_1(0)* 4 to 4 labelled #_1(0)* 339 to 340 labelled a_1(0)* 340 to 341 labelled a_1(0)* 341 to 342 labelled a_1(0)* 342 to 343 labelled a_1(0)* 343 to 344 labelled a_1(0)* 344 to 345 labelled b_1(0)* 345 to 346 labelled a_1(0)* 345 to 363 labelled b_1(1)* 346 to 347 labelled a_1(0)* 346 to 363 labelled b_1(1)* 347 to 348 labelled a_1(0)* 347 to 363 labelled b_1(1)* 348 to 349 labelled a_1(0)* 348 to 363 labelled b_1(1)* 349 to 350 labelled a_1(0)* 349 to 363 labelled b_1(1)* 350 to 4 labelled a_1(0)* 350 to 363 labelled b_1(1)* 363 to 364 labelled a_1(1)* 364 to 365 labelled a_1(1)* 365 to 366 labelled a_1(1)* 366 to 367 labelled a_1(1)* 367 to 368 labelled a_1(1)* 368 to 369 labelled b_1(1)* 369 to 370 labelled a_1(1)* 369 to 363 labelled b_1(1)* 370 to 371 labelled a_1(1)* 370 to 363 labelled b_1(1)* 371 to 372 labelled a_1(1)* 371 to 363 labelled b_1(1)* 372 to 373 labelled a_1(1)* 372 to 363 labelled b_1(1)* 373 to 374 labelled a_1(1)* 373 to 363 labelled b_1(1)* 374 to 4 labelled a_1(1)* 374 to 363 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