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Haskell 2019-04-01 06.52 pair #433316181
details
property
value
status
complete
benchmark
List_insert_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n069.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
13.5261 seconds
cpu usage
28.4466
user time
27.2327
system time
1.21394
max virtual memory
1.8285568E7
max residence set size
3966384.0
stage attributes
key
value
starexec-result
YES
output
25.69/12.72 YES 28.26/13.42 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 28.26/13.42 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 28.26/13.42 28.26/13.42 28.26/13.42 H-Termination with start terms of the given HASKELL could be proven: 28.26/13.42 28.26/13.42 (0) HASKELL 28.26/13.42 (1) CR [EQUIVALENT, 0 ms] 28.26/13.42 (2) HASKELL 28.26/13.42 (3) IFR [EQUIVALENT, 0 ms] 28.26/13.42 (4) HASKELL 28.26/13.42 (5) BR [EQUIVALENT, 4 ms] 28.26/13.42 (6) HASKELL 28.26/13.42 (7) COR [EQUIVALENT, 0 ms] 28.26/13.42 (8) HASKELL 28.26/13.42 (9) LetRed [EQUIVALENT, 3 ms] 28.26/13.42 (10) HASKELL 28.26/13.42 (11) NumRed [SOUND, 0 ms] 28.26/13.42 (12) HASKELL 28.26/13.42 (13) Narrow [SOUND, 0 ms] 28.26/13.42 (14) AND 28.26/13.42 (15) QDP 28.26/13.42 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.26/13.42 (17) YES 28.26/13.42 (18) QDP 28.26/13.42 (19) QDPSizeChangeProof [EQUIVALENT, 154 ms] 28.26/13.42 (20) YES 28.26/13.42 (21) QDP 28.26/13.42 (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.26/13.42 (23) YES 28.26/13.42 (24) QDP 28.26/13.42 (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.26/13.42 (26) YES 28.26/13.42 (27) QDP 28.26/13.42 (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.26/13.42 (29) YES 28.26/13.42 (30) QDP 28.26/13.42 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.26/13.42 (32) YES 28.26/13.42 (33) QDP 28.26/13.42 (34) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.26/13.42 (35) YES 28.26/13.42 28.26/13.42 28.26/13.42 ---------------------------------------- 28.26/13.42 28.26/13.42 (0) 28.26/13.42 Obligation: 28.26/13.42 mainModule Main 28.26/13.42 module Maybe where { 28.26/13.42 import qualified List; 28.26/13.42 import qualified Main; 28.26/13.42 import qualified Prelude; 28.26/13.42 } 28.26/13.42 module List where { 28.26/13.42 import qualified Main; 28.26/13.42 import qualified Maybe; 28.26/13.42 import qualified Prelude; 28.26/13.42 insert :: Ord a => a -> [a] -> [a]; 28.26/13.42 insert e ls = insertBy compare e ls; 28.26/13.42 28.26/13.42 insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]; 28.26/13.42 insertBy _ x [] = x : []; 28.26/13.42 insertBy cmp x ys@(y : ys') = case cmp x y of { 28.26/13.42 GT-> y : insertBy cmp x ys'; 28.26/13.42 _-> x : ys; 28.26/13.42 } ; 28.26/13.42 28.26/13.42 } 28.26/13.42 module Main where { 28.26/13.42 import qualified List; 28.26/13.42 import qualified Maybe; 28.26/13.42 import qualified Prelude; 28.26/13.42 } 28.26/13.42 28.26/13.42 ---------------------------------------- 28.26/13.42 28.26/13.42 (1) CR (EQUIVALENT) 28.26/13.42 Case Reductions: 28.26/13.42 The following Case expression 28.26/13.42 "case compare x y of { 28.26/13.42 EQ -> o; 28.26/13.42 LT -> LT; 28.26/13.42 GT -> GT} 28.26/13.42 " 28.26/13.42 is transformed to 28.26/13.42 "primCompAux0 o EQ = o; 28.26/13.42 primCompAux0 o LT = LT; 28.26/13.42 primCompAux0 o GT = GT; 28.26/13.42 " 28.26/13.42 The following Case expression 28.26/13.42 "case cmp x y of { 28.26/13.42 GT -> y : insertBy cmp x ys'; 28.26/13.42 _ -> x : ys} 28.26/13.42 " 28.26/13.42 is transformed to 28.26/13.42 "insertBy0 y cmp x ys' ys GT = y : insertBy cmp x ys'; 28.26/13.42 insertBy0 y cmp x ys' ys _ = x : ys; 28.26/13.42 "
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