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Haskell 2019-04-01 06.52 pair #433316634
details
property
value
status
complete
benchmark
List_insert_10.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n041.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.89869 seconds
cpu usage
22.7188
user time
21.8649
system time
0.853846
max virtual memory
1.8285568E7
max residence set size
2869920.0
stage attributes
key
value
starexec-result
YES
output
19.38/7.98 YES 22.49/8.80 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 22.49/8.80 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 22.49/8.80 22.49/8.80 22.49/8.80 H-Termination with start terms of the given HASKELL could be proven: 22.49/8.80 22.49/8.80 (0) HASKELL 22.49/8.80 (1) CR [EQUIVALENT, 0 ms] 22.49/8.80 (2) HASKELL 22.49/8.80 (3) IFR [EQUIVALENT, 0 ms] 22.49/8.80 (4) HASKELL 22.49/8.80 (5) BR [EQUIVALENT, 3 ms] 22.49/8.80 (6) HASKELL 22.49/8.80 (7) COR [EQUIVALENT, 0 ms] 22.49/8.80 (8) HASKELL 22.49/8.80 (9) LetRed [EQUIVALENT, 0 ms] 22.49/8.80 (10) HASKELL 22.49/8.80 (11) NumRed [SOUND, 0 ms] 22.49/8.80 (12) HASKELL 22.49/8.80 (13) Narrow [SOUND, 0 ms] 22.49/8.80 (14) AND 22.49/8.80 (15) QDP 22.49/8.80 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.49/8.80 (17) YES 22.49/8.80 (18) QDP 22.49/8.80 (19) QDPSizeChangeProof [EQUIVALENT, 14 ms] 22.49/8.80 (20) YES 22.49/8.80 (21) QDP 22.49/8.80 (22) DependencyGraphProof [EQUIVALENT, 0 ms] 22.49/8.80 (23) AND 22.49/8.80 (24) QDP 22.49/8.80 (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.49/8.80 (26) YES 22.49/8.80 (27) QDP 22.49/8.80 (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.49/8.80 (29) YES 22.49/8.80 (30) QDP 22.49/8.80 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.49/8.80 (32) YES 22.49/8.80 (33) QDP 22.49/8.80 (34) QDPSizeChangeProof [EQUIVALENT, 28 ms] 22.49/8.80 (35) YES 22.49/8.80 (36) QDP 22.49/8.80 (37) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.49/8.80 (38) YES 22.49/8.80 (39) QDP 22.49/8.80 (40) QDPSizeChangeProof [EQUIVALENT, 0 ms] 22.49/8.80 (41) YES 22.49/8.80 22.49/8.80 22.49/8.80 ---------------------------------------- 22.49/8.80 22.49/8.80 (0) 22.49/8.80 Obligation: 22.49/8.80 mainModule Main 22.49/8.80 module Maybe where { 22.49/8.80 import qualified List; 22.49/8.80 import qualified Main; 22.49/8.80 import qualified Prelude; 22.49/8.80 } 22.49/8.80 module List where { 22.49/8.80 import qualified Main; 22.49/8.80 import qualified Maybe; 22.49/8.80 import qualified Prelude; 22.49/8.80 insert :: Ord a => a -> [a] -> [a]; 22.49/8.80 insert e ls = insertBy compare e ls; 22.49/8.80 22.49/8.80 insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]; 22.49/8.80 insertBy _ x [] = x : []; 22.49/8.80 insertBy cmp x ys@(y : ys') = case cmp x y of { 22.49/8.80 GT-> y : insertBy cmp x ys'; 22.49/8.80 _-> x : ys; 22.49/8.80 } ; 22.49/8.80 22.49/8.80 } 22.49/8.80 module Main where { 22.49/8.80 import qualified List; 22.49/8.80 import qualified Maybe; 22.49/8.80 import qualified Prelude; 22.49/8.80 } 22.49/8.80 22.49/8.80 ---------------------------------------- 22.49/8.80 22.49/8.80 (1) CR (EQUIVALENT) 22.49/8.80 Case Reductions: 22.49/8.80 The following Case expression 22.49/8.80 "case compare x y of { 22.49/8.80 EQ -> o; 22.49/8.80 LT -> LT; 22.49/8.80 GT -> GT} 22.49/8.80 " 22.49/8.80 is transformed to 22.49/8.80 "primCompAux0 o EQ = o; 22.49/8.80 primCompAux0 o LT = LT; 22.49/8.80 primCompAux0 o GT = GT; 22.49/8.80 " 22.49/8.80 The following Case expression 22.49/8.80 "case cmp x y of { 22.49/8.80 GT -> y : insertBy cmp x ys';
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