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TRS Outer 67415 pair #381918095
details
property
value
status
complete
benchmark
test10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n041.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.27691602707 seconds
cpu usage
2.753424098
max memory
1.62680832E8
stage attributes
key
value
output-size
1601
starexec-result
NO
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could be disproven: (0) OTRS (1) OutermostNonTerminationProof [COMPLETE, 0 ms] (2) NO ---------------------------------------- (0) Obligation: Term rewrite system R: The TRS R consists of the following rules: h(X, Z) -> f(X, s(X), Z) f(X, Y, g(X, Y)) -> h(0, g(X, Y)) g(0, Y) -> 0 g(X, s(Y)) -> g(X, Y) Outermost Strategy. ---------------------------------------- (1) OutermostNonTerminationProof (COMPLETE) Term rewrite system R: The TRS R consists of the following rules: h(X, Z) -> f(X, s(X), Z) f(X, Y, g(X, Y)) -> h(0, g(X, Y)) g(0, Y) -> 0 g(X, s(Y)) -> g(X, Y) Outermost Strategy. ---------- Loop: ---------- f(0, s(0), g(0, s(0))) -> h(0, g(0, s(0))) with rule f(X, Y, g(X, Y)) -> h(0, g(X, Y)) at position [] and matcher [X / 0, Y / s(0)] h(0, g(0, s(0))) -> f(0, s(0), g(0, s(0))) with rule h(X, Z) -> f(X, s(X), Z) at position [] and matcher [X / 0, Z / g(0, s(0))] Now an instance of the first term with Matcher [ ] occurs in the last term at position []. Context: [] We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. ---------------------------------------- (2) NO
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