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TRS Relat 75837 pair #381724924
details
property
value
status
complete
benchmark
rt3-5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n100.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.87582302094 seconds
cpu usage
11.811280283
max memory
1.242517504E9
stage attributes
key
value
output-size
7300
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRS Reverse [EQUIVALENT, 0 ms] (2) RelTRS (3) FlatCCProof [EQUIVALENT, 0 ms] (4) RelTRS (5) RootLabelingProof [EQUIVALENT, 0 ms] (6) RelTRS (7) RelTRSRRRProof [EQUIVALENT, 25 ms] (8) RelTRS (9) RelTRSRRRProof [EQUIVALENT, 131 ms] (10) RelTRS (11) RelTRSRRRProof [EQUIVALENT, 87 ms] (12) RelTRS (13) RIsEmptyProof [EQUIVALENT, 0 ms] (14) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: f(g(f(x))) -> f(g(g(g(f(x))))) The relative TRS consists of the following S rules: g(x) -> g(g(x)) g(x) -> g(g(f(g(g(x))))) f(x) -> g(g(f(g(g(x))))) ---------------------------------------- (1) RelTRS Reverse (EQUIVALENT) We have reversed the following relative TRS [REVERSE]: The set of rules R is f(g(f(x))) -> f(g(g(g(f(x))))) The set of rules S is g(x) -> g(g(x)) g(x) -> g(g(f(g(g(x))))) f(x) -> g(g(f(g(g(x))))) We have obtained the following relative TRS: The set of rules R is f(g(f(x))) -> f(g(g(g(f(x))))) The set of rules S is g(x) -> g(g(x)) g(x) -> g(g(f(g(g(x))))) f(x) -> g(g(f(g(g(x))))) ---------------------------------------- (2) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: f(g(f(x))) -> f(g(g(g(f(x))))) The relative TRS consists of the following S rules: g(x) -> g(g(x)) g(x) -> g(g(f(g(g(x))))) f(x) -> g(g(f(g(g(x))))) ---------------------------------------- (3) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB] ---------------------------------------- (4) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: f(g(f(x))) -> f(g(g(g(f(x))))) The relative TRS consists of the following S rules:
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return to TRS Relat 75837