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SRS Standard pair #487518023
details
property
value
status
complete
benchmark
abbaaaaaa-aaaaaaabbaaabb.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n190.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.6578578949 seconds
cpu usage
3.710263808
max memory
2.72416768E8
stage attributes
key
value
output-size
3581
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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, 7 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(a(x1))))))))) -> a(a(a(a(a(a(a(b(b(a(a(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(a(b(b(a(x1))))))))) -> b(b(a(a(a(b(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(b(a(x1))))))))) -> b(b(a(a(a(b(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(b(x)))))))) -> b(b(a(a(a(b(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(b(x)))))))) -> b(b(a(a(a(b(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(b(x)))))))) -> b(b(a(a(a(b(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: 96, 97, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134 Node 96 is start node and node 97 is final node. Those nodes are connected through the following edges: * 96 to 111 labelled b_1(0)* 97 to 97 labelled #_1(0)* 111 to 112 labelled b_1(0)* 112 to 113 labelled a_1(0)* 113 to 114 labelled a_1(0)* 114 to 115 labelled a_1(0)* 115 to 116 labelled b_1(0)* 116 to 117 labelled b_1(0)* 117 to 118 labelled a_1(0)* 117 to 123 labelled b_1(1)* 118 to 119 labelled a_1(0)* 118 to 123 labelled b_1(1)* 119 to 120 labelled a_1(0)* 119 to 123 labelled b_1(1)* 120 to 121 labelled a_1(0)* 120 to 123 labelled b_1(1)* 121 to 122 labelled a_1(0)* 121 to 123 labelled b_1(1)* 122 to 97 labelled a_1(0)* 122 to 123 labelled b_1(1)* 123 to 124 labelled b_1(1)* 124 to 125 labelled a_1(1)* 125 to 126 labelled a_1(1)* 126 to 127 labelled a_1(1)* 127 to 128 labelled b_1(1)* 128 to 129 labelled b_1(1)* 129 to 130 labelled a_1(1)* 129 to 123 labelled b_1(1)* 130 to 131 labelled a_1(1)* 130 to 123 labelled b_1(1)* 131 to 132 labelled a_1(1)* 131 to 123 labelled b_1(1)* 132 to 133 labelled a_1(1)* 132 to 123 labelled b_1(1)* 133 to 134 labelled a_1(1)* 133 to 123 labelled b_1(1)* 134 to 97 labelled a_1(1)* 134 to 123 labelled b_1(1) ---------------------------------------- (6) YES
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