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SRS Standard pair #487518251
details
property
value
status
complete
benchmark
abaaaaaaa-aaaaaaaababab.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n036.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.82073521614 seconds
cpu usage
3.840369963
max memory
2.936832E8
stage attributes
key
value
output-size
3566
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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(b(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(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(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(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(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(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: 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270 Node 247 is start node and node 248 is final node. Those nodes are connected through the following edges: * 247 to 249 labelled b_1(0)* 248 to 248 labelled #_1(0)* 249 to 250 labelled a_1(0)* 250 to 251 labelled b_1(0)* 251 to 252 labelled a_1(0)* 252 to 253 labelled b_1(0)* 253 to 254 labelled a_1(0)* 253 to 260 labelled b_1(1)* 254 to 255 labelled a_1(0)* 254 to 260 labelled b_1(1)* 255 to 256 labelled a_1(0)* 255 to 260 labelled b_1(1)* 256 to 257 labelled a_1(0)* 256 to 260 labelled b_1(1)* 257 to 258 labelled a_1(0)* 257 to 260 labelled b_1(1)* 258 to 259 labelled a_1(0)* 258 to 260 labelled b_1(1)* 259 to 248 labelled a_1(0)* 259 to 260 labelled b_1(1)* 260 to 261 labelled a_1(1)* 261 to 262 labelled b_1(1)* 262 to 263 labelled a_1(1)* 263 to 264 labelled b_1(1)* 264 to 265 labelled a_1(1)* 264 to 260 labelled b_1(1)* 265 to 266 labelled a_1(1)* 265 to 260 labelled b_1(1)* 266 to 267 labelled a_1(1)* 266 to 260 labelled b_1(1)* 267 to 268 labelled a_1(1)* 267 to 260 labelled b_1(1)* 268 to 269 labelled a_1(1)* 268 to 260 labelled b_1(1)* 269 to 270 labelled a_1(1)* 269 to 260 labelled b_1(1)* 270 to 248 labelled a_1(1)* 270 to 260 labelled b_1(1) ---------------------------------------- (6) YES
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