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SRS Stand 10685 pair #381720420
details
property
value
status
complete
benchmark
z043.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n081.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.54797410965 seconds
cpu usage
3.479380584
max memory
2.39644672E8
stage attributes
key
value
output-size
2540
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: c(b(a(a(x1)))) -> a(a(b(a(a(b(c(b(a(c(x1)))))))))) Q is empty. ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. The following rules were used to construct the certificate: c(b(a(a(x1)))) -> a(a(b(a(a(b(c(b(a(c(x1)))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled a_1(0)* 2 to 2 labelled #_1(0)* 3 to 4 labelled a_1(0)* 4 to 5 labelled b_1(0)* 5 to 6 labelled a_1(0)* 6 to 7 labelled a_1(0)* 7 to 8 labelled b_1(0)* 8 to 9 labelled c_1(0)* 8 to 21 labelled a_1(1)* 9 to 10 labelled b_1(0)* 10 to 11 labelled a_1(0)* 11 to 2 labelled c_1(0)* 11 to 12 labelled a_1(1)* 12 to 13 labelled a_1(1)* 13 to 14 labelled b_1(1)* 14 to 15 labelled a_1(1)* 15 to 16 labelled a_1(1)* 16 to 17 labelled b_1(1)* 17 to 18 labelled c_1(1)* 17 to 30 labelled a_1(2)* 18 to 19 labelled b_1(1)* 19 to 20 labelled a_1(1)* 20 to 2 labelled c_1(1)* 20 to 12 labelled a_1(1)* 21 to 22 labelled a_1(1)* 22 to 23 labelled b_1(1)* 23 to 24 labelled a_1(1)* 24 to 25 labelled a_1(1)* 25 to 26 labelled b_1(1)* 26 to 27 labelled c_1(1)* 27 to 28 labelled b_1(1)* 28 to 29 labelled a_1(1)* 29 to 12 labelled c_1(1)* 30 to 31 labelled a_1(2)* 31 to 32 labelled b_1(2)* 32 to 33 labelled a_1(2)* 33 to 34 labelled a_1(2)* 34 to 35 labelled b_1(2)* 35 to 36 labelled c_1(2)* 36 to 37 labelled b_1(2)* 37 to 38 labelled a_1(2)* 38 to 12 labelled c_1(2) ---------------------------------------- (2) YES
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