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TRS Outer 67415 pair #381918226
details
property
value
status
complete
benchmark
ExIntrod_Zan97_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n056.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.28464484215 seconds
cpu usage
2.944258621
max memory
2.01576448E8
stage attributes
key
value
output-size
2218
starexec-result
NO
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox2/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could be disproven: (0) OTRS (1) OutermostNonTerminationProof [COMPLETE, 39 ms] (2) NO ---------------------------------------- (0) Obligation: Term rewrite system R: The TRS R consists of the following rules: fact(X) -> if(zero(X), n__s(0), n__prod(X, fact(p(X)))) add(0, X) -> X add(s(X), Y) -> s(add(X, Y)) prod(0, X) -> 0 prod(s(X), Y) -> add(Y, prod(X, Y)) if(true, X, Y) -> activate(X) if(false, X, Y) -> activate(Y) zero(0) -> true zero(s(X)) -> false p(s(X)) -> X s(X) -> n__s(X) prod(X1, X2) -> n__prod(X1, X2) activate(n__s(X)) -> s(X) activate(n__prod(X1, X2)) -> prod(X1, X2) activate(X) -> X Outermost Strategy. ---------------------------------------- (1) OutermostNonTerminationProof (COMPLETE) Term rewrite system R: The TRS R consists of the following rules: fact(X) -> if(zero(X), n__s(0), n__prod(X, fact(p(X)))) add(0, X) -> X add(s(X), Y) -> s(add(X, Y)) prod(0, X) -> 0 prod(s(X), Y) -> add(Y, prod(X, Y)) if(true, X, Y) -> activate(X) if(false, X, Y) -> activate(Y) zero(0) -> true zero(s(X)) -> false p(s(X)) -> X s(X) -> n__s(X) prod(X1, X2) -> n__prod(X1, X2) activate(n__s(X)) -> s(X) activate(n__prod(X1, X2)) -> prod(X1, X2) activate(X) -> X Outermost Strategy. ---------- Loop: ---------- fact(X) -> if(zero(X), n__s(0), n__prod(X, fact(p(X)))) with rule fact(X') -> if(zero(X'), n__s(0), n__prod(X', fact(p(X')))) at position [] and matcher [X' / X] Now an instance of the first term with Matcher [X / p(X)] occurs in the last term at position [2,1]. Context: if(zero(X), n__s(0), n__prod(X, [])) We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. ---------------------------------------- (2) NO
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