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SRS Standard pair #487517729
details
property
value
status
complete
benchmark
abccaaaaa-aaaaaabccaabcc.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n011.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.76338386536 seconds
cpu usage
3.981637195
max memory
3.06561024E8
stage attributes
key
value
output-size
3538
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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, 4 ms] (6) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(c(c(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(b(c(c(a(a(b(c(c(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(c(c(b(a(x1))))))))) -> c(c(b(a(a(c(c(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(c(c(b(a(x1))))))))) -> c(c(b(a(a(c(c(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(c(c(b(x)))))))) -> c(c(b(a(a(c(c(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(c(c(b(x)))))))) -> c(c(b(a(a(c(c(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(c(c(b(x)))))))) -> c(c(b(a(a(c(c(b(a(a(a(a(a(x))))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 327, 328, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389 Node 327 is start node and node 328 is final node. Those nodes are connected through the following edges: * 327 to 342 labelled c_1(0)* 328 to 328 labelled #_1(0)* 342 to 343 labelled c_1(0)* 343 to 344 labelled b_1(0)* 344 to 345 labelled a_1(0)* 345 to 346 labelled a_1(0)* 346 to 347 labelled c_1(0)* 347 to 348 labelled c_1(0)* 348 to 349 labelled b_1(0)* 349 to 350 labelled a_1(0)* 349 to 378 labelled c_1(1)* 350 to 351 labelled a_1(0)* 350 to 378 labelled c_1(1)* 351 to 352 labelled a_1(0)* 351 to 378 labelled c_1(1)* 352 to 353 labelled a_1(0)* 352 to 378 labelled c_1(1)* 353 to 328 labelled a_1(0)* 353 to 378 labelled c_1(1)* 378 to 379 labelled c_1(1)* 379 to 380 labelled b_1(1)* 380 to 381 labelled a_1(1)* 381 to 382 labelled a_1(1)* 382 to 383 labelled c_1(1)* 383 to 384 labelled c_1(1)* 384 to 385 labelled b_1(1)* 385 to 386 labelled a_1(1)* 385 to 378 labelled c_1(1)* 386 to 387 labelled a_1(1)* 386 to 378 labelled c_1(1)* 387 to 388 labelled a_1(1)* 387 to 378 labelled c_1(1)* 388 to 389 labelled a_1(1)* 388 to 378 labelled c_1(1)* 389 to 328 labelled a_1(1)* 389 to 378 labelled c_1(1) ---------------------------------------- (6) YES
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