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SRS Stand 10685 pair #381722048
details
property
value
status
complete
benchmark
abbaaaaa-aaaaaabbabbabb.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n041.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.70998811722 seconds
cpu usage
3.904177481
max memory
2.3836672E8
stage attributes
key
value
output-size
3510
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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(b(a(a(a(a(a(x1)))))))) -> a(a(a(a(a(a(b(b(a(b(b(a(b(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(b(b(a(x1)))))))) -> b(b(a(b(b(a(b(b(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(b(b(a(x1)))))))) -> b(b(a(b(b(a(b(b(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(b(b(x))))))) -> b(b(a(b(b(a(b(b(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(b(b(x))))))) -> b(b(a(b(b(a(b(b(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(b(b(x))))))) -> b(b(a(b(b(a(b(b(a(a(a(a(a(x))))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 3, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324 Node 3 is start node and node 300 is final node. Those nodes are connected through the following edges: * 3 to 301 labelled b_1(0)* 300 to 300 labelled #_1(0)* 301 to 302 labelled b_1(0)* 302 to 303 labelled a_1(0)* 303 to 304 labelled b_1(0)* 304 to 305 labelled b_1(0)* 305 to 306 labelled a_1(0)* 306 to 307 labelled b_1(0)* 307 to 308 labelled b_1(0)* 308 to 309 labelled a_1(0)* 308 to 313 labelled b_1(1)* 309 to 310 labelled a_1(0)* 309 to 313 labelled b_1(1)* 310 to 311 labelled a_1(0)* 310 to 313 labelled b_1(1)* 311 to 312 labelled a_1(0)* 311 to 313 labelled b_1(1)* 312 to 300 labelled a_1(0)* 312 to 313 labelled b_1(1)* 313 to 314 labelled b_1(1)* 314 to 315 labelled a_1(1)* 315 to 316 labelled b_1(1)* 316 to 317 labelled b_1(1)* 317 to 318 labelled a_1(1)* 318 to 319 labelled b_1(1)* 319 to 320 labelled b_1(1)* 320 to 321 labelled a_1(1)* 320 to 313 labelled b_1(1)* 321 to 322 labelled a_1(1)* 321 to 313 labelled b_1(1)* 322 to 323 labelled a_1(1)* 322 to 313 labelled b_1(1)* 323 to 324 labelled a_1(1)* 323 to 313 labelled b_1(1)* 324 to 300 labelled a_1(1)* 324 to 313 labelled b_1(1) ---------------------------------------- (6) YES
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