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TRS_Outermost 2019-04-01 06.45 pair #433314784
details
property
value
status
complete
benchmark
test76.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n013.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.17216 seconds
cpu usage
10.0989
user time
9.6122
system time
0.486697
max virtual memory
3.6967656E7
max residence set size
1383364.0
stage attributes
key
value
starexec-result
NO
output
9.92/3.10 NO 10.02/3.12 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 10.02/3.12 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.02/3.12 10.02/3.12 10.02/3.12 Outermost Termination of the given OTRS could be disproven: 10.02/3.12 10.02/3.12 (0) OTRS 10.02/3.12 (1) OutermostNonTerminationProof [COMPLETE, 1307 ms] 10.02/3.12 (2) NO 10.02/3.12 10.02/3.12 10.02/3.12 ---------------------------------------- 10.02/3.12 10.02/3.12 (0) 10.02/3.12 Obligation: 10.02/3.12 Term rewrite system R: 10.02/3.12 The TRS R consists of the following rules: 10.02/3.12 10.02/3.12 +(X, 0) -> X 10.02/3.12 +(X, s(Y)) -> s(+(X, Y)) 10.02/3.12 f(0, s(0), X) -> f(X, +(X, X), X) 10.02/3.12 g(X, Y) -> X 10.02/3.12 g(X, Y) -> Y 10.02/3.12 10.02/3.12 10.02/3.12 10.02/3.12 Outermost Strategy. 10.02/3.12 10.02/3.12 ---------------------------------------- 10.02/3.12 10.02/3.12 (1) OutermostNonTerminationProof (COMPLETE) 10.02/3.12 Term rewrite system R: 10.02/3.12 The TRS R consists of the following rules: 10.02/3.12 10.02/3.12 +(X, 0) -> X 10.02/3.12 +(X, s(Y)) -> s(+(X, Y)) 10.02/3.12 f(0, s(0), X) -> f(X, +(X, X), X) 10.02/3.12 g(X, Y) -> X 10.02/3.12 g(X, Y) -> Y 10.02/3.12 10.02/3.12 10.02/3.12 10.02/3.12 Outermost Strategy. 10.02/3.12 10.02/3.12 ---------- Loop: ---------- 10.02/3.12 10.02/3.12 f(g(0, s(0)), +(g(0, s(0)), g(0, s(0))), g(0, s(0))) -> f(g(0, s(0)), +(s(0), g(0, s(0))), g(0, s(0))) with rule g(X', Y'') -> Y'' at position [1,0] and matcher [X' / 0, Y'' / s(0)] 10.02/3.12 10.02/3.12 f(g(0, s(0)), +(s(0), g(0, s(0))), g(0, s(0))) -> f(g(0, s(0)), +(s(0), 0), g(0, s(0))) with rule g(X', Y') -> X' at position [1,1] and matcher [X' / 0, Y' / s(0)] 10.02/3.12 10.02/3.12 f(g(0, s(0)), +(s(0), 0), g(0, s(0))) -> f(g(0, s(0)), s(0), g(0, s(0))) with rule +(X', 0) -> X' at position [1] and matcher [X' / s(0)] 10.02/3.12 10.02/3.12 f(g(0, s(0)), s(0), g(0, s(0))) -> f(0, s(0), g(0, s(0))) with rule g(X', Y) -> X' at position [0] and matcher [X' / 0, Y / s(0)] 10.02/3.12 10.02/3.12 f(0, s(0), g(0, s(0))) -> f(g(0, s(0)), +(g(0, s(0)), g(0, s(0))), g(0, s(0))) with rule f(0, s(0), X) -> f(X, +(X, X), X) at position [] and matcher [X / g(0, s(0))] 10.02/3.12 10.02/3.12 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 10.02/3.12 10.02/3.12 Context: [] 10.02/3.12 10.02/3.12 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 10.02/3.12 ---------------------------------------- 10.02/3.12 10.02/3.12 (2) 10.02/3.12 NO 10.02/3.17 EOF
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