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SRS Standard pair #516969070
details
property
value
status
complete
benchmark
sym-4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n026.star.cs.uiowa.edu
space
Waldmann_06_SRS
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
3.38978910446 seconds
cpu usage
10.225922987
max memory
1.21315328E9
stage attributes
key
value
output-size
5102
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) FlatCCProof [EQUIVALENT, 0 ms] (2) QTRS (3) RootLabelingProof [EQUIVALENT, 0 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 22 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 7 ms] (8) QTRS (9) QTRSRRRProof [EQUIVALENT, 4 ms] (10) QTRS (11) RisEmptyProof [EQUIVALENT, 0 ms] (12) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(b(x1)) -> c(c(c(c(x1)))) c(x1) -> x1 b(c(b(x1))) -> b(b(b(x1))) Q is empty. ---------------------------------------- (1) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB] As Q is empty the flat context closure was sound AND complete. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(c(b(x1))) -> b(b(b(x1))) b(b(b(x1))) -> b(c(c(c(c(x1))))) c(b(b(x1))) -> c(c(c(c(c(x1))))) b(c(x1)) -> b(x1) c(c(x1)) -> c(x1) Q is empty. ---------------------------------------- (3) RootLabelingProof (EQUIVALENT) We used plain root labeling [ROOTLAB] with the following heuristic: LabelAll: All function symbols get labeled As Q is empty the root labeling was sound AND complete. ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b_{c_1}(c_{b_1}(b_{b_1}(x1))) -> b_{b_1}(b_{b_1}(b_{b_1}(x1))) b_{c_1}(c_{b_1}(b_{c_1}(x1))) -> b_{b_1}(b_{b_1}(b_{c_1}(x1))) b_{b_1}(b_{b_1}(b_{b_1}(x1))) -> b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{b_1}(x1))))) b_{b_1}(b_{b_1}(b_{c_1}(x1))) -> b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(x1))))) c_{b_1}(b_{b_1}(b_{b_1}(x1))) -> c_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{b_1}(x1))))) c_{b_1}(b_{b_1}(b_{c_1}(x1))) -> c_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(x1))))) b_{c_1}(c_{b_1}(x1)) -> b_{b_1}(x1) b_{c_1}(c_{c_1}(x1)) -> b_{c_1}(x1) c_{c_1}(c_{b_1}(x1)) -> c_{b_1}(x1) c_{c_1}(c_{c_1}(x1)) -> c_{c_1}(x1) Q is empty. ---------------------------------------- (5) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(b_{b_1}(x_1)) = 1 + x_1 POL(b_{c_1}(x_1)) = x_1 POL(c_{b_1}(x_1)) = 2 + x_1 POL(c_{c_1}(x_1)) = x_1
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