Funct Progr 77531 pair #381921072

details

property	value
status	complete
benchmark	List_partition_1.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n056.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.86633610725 seconds
cpu usage	12.536642671
max memory	6.88787456E8

stage attributes

key	value
output-size	10041
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


H-Termination with start terms of the given HASKELL could be proven:

(0) HASKELL
(1) IPR [EQUIVALENT, 0 ms]
(2) HASKELL
(3) BR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) COR [EQUIVALENT, 0 ms]
(6) HASKELL
(7) Narrow [SOUND, 0 ms]
(8) QDP
(9) QDPSizeChangeProof [EQUIVALENT, 0 ms]
(10) YES


----------------------------------------

(0)
Obligation:
mainModule Main 
module Maybe where {
import qualified List;
import qualified Main;
import qualified Prelude;
}
module List where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
partition :: (a  ->  Bool)  ->  [a]  ->  ([a],[a]);
partition p xs = foldr (select p) ([],[]) xs;

select p x ~((ts,fs))  | p x = (x : ts,fs)
 | otherwise = (ts,x : fs);

}
module Main where {
import qualified List;
import qualified Maybe;
import qualified Prelude;
}

----------------------------------------

(1) IPR (EQUIVALENT)
IrrPat Reductions:
The variables of the following irrefutable Pattern
"~(ts,fs)"
are replaced by calls to these functions
"select0 (ts,fs) = ts;
"
"select1 (ts,fs) = fs;
"

----------------------------------------

(2)
Obligation:
mainModule Main 
module Maybe where {
import qualified List;
import qualified Main;
import qualified Prelude;
}
module List where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
partition :: (a  ->  Bool)  ->  [a]  ->  ([a],[a]);
partition p xs = foldr (select p) ([],[]) xs;

select p x vw  | p x = (x : select0 vw,select1 vw)
 | otherwise = (select0 vw,x : select1 vw);

select0 (ts,fs) = ts;

select1 (ts,fs) = fs;

}
module Main where {
import qualified List;
import qualified Maybe;
import qualified Prelude;
}

----------------------------------------

(3) BR (EQUIVALENT)
Replaced joker patterns by fresh variables and removed binding patterns.

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