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Haskell 2019-04-01 06.52 pair #433317171
details
property
value
status
complete
benchmark
fmap_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
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.00685 seconds
cpu usage
9.17791
user time
8.88575
system time
0.292157
max virtual memory
1.828352E7
max residence set size
597484.0
stage attributes
key
value
starexec-result
YES
output
7.51/3.51 YES 9.03/3.96 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.03/3.96 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.03/3.96 9.03/3.96 9.03/3.96 H-Termination with start terms of the given HASKELL could be proven: 9.03/3.96 9.03/3.96 (0) HASKELL 9.03/3.96 (1) BR [EQUIVALENT, 0 ms] 9.03/3.96 (2) HASKELL 9.03/3.96 (3) COR [EQUIVALENT, 0 ms] 9.03/3.96 (4) HASKELL 9.03/3.96 (5) Narrow [EQUIVALENT, 0 ms] 9.03/3.96 (6) YES 9.03/3.96 9.03/3.96 9.03/3.96 ---------------------------------------- 9.03/3.96 9.03/3.96 (0) 9.03/3.96 Obligation: 9.03/3.96 mainModule Main 9.03/3.96 module Main where { 9.03/3.96 import qualified Prelude; 9.03/3.96 data Main.Maybe a = Nothing | Just a ; 9.03/3.96 9.03/3.96 fmapMaybe :: (a -> b) -> Main.Maybe a -> Main.Maybe b; 9.03/3.96 fmapMaybe f Main.Nothing = Main.Nothing; 9.03/3.96 fmapMaybe f (Main.Just x) = Main.Just (f x); 9.03/3.96 9.03/3.96 } 9.03/3.96 9.03/3.96 ---------------------------------------- 9.03/3.96 9.03/3.96 (1) BR (EQUIVALENT) 9.03/3.96 Replaced joker patterns by fresh variables and removed binding patterns. 9.03/3.96 ---------------------------------------- 9.03/3.96 9.03/3.96 (2) 9.03/3.96 Obligation: 9.03/3.96 mainModule Main 9.03/3.96 module Main where { 9.03/3.96 import qualified Prelude; 9.03/3.96 data Main.Maybe a = Nothing | Just a ; 9.03/3.96 9.03/3.96 fmapMaybe :: (a -> b) -> Main.Maybe a -> Main.Maybe b; 9.03/3.96 fmapMaybe f Main.Nothing = Main.Nothing; 9.03/3.96 fmapMaybe f (Main.Just x) = Main.Just (f x); 9.03/3.96 9.03/3.96 } 9.03/3.96 9.03/3.96 ---------------------------------------- 9.03/3.96 9.03/3.96 (3) COR (EQUIVALENT) 9.03/3.96 Cond Reductions: 9.03/3.96 The following Function with conditions 9.03/3.96 "undefined |Falseundefined; 9.03/3.96 " 9.03/3.96 is transformed to 9.03/3.96 "undefined = undefined1; 9.03/3.96 " 9.03/3.96 "undefined0 True = undefined; 9.03/3.96 " 9.03/3.96 "undefined1 = undefined0 False; 9.03/3.96 " 9.03/3.96 9.03/3.96 ---------------------------------------- 9.03/3.96 9.03/3.96 (4) 9.03/3.96 Obligation: 9.03/3.96 mainModule Main 9.03/3.96 module Main where { 9.03/3.96 import qualified Prelude; 9.03/3.96 data Main.Maybe a = Nothing | Just a ; 9.03/3.96 9.03/3.96 fmapMaybe :: (a -> b) -> Main.Maybe a -> Main.Maybe b; 9.03/3.96 fmapMaybe f Main.Nothing = Main.Nothing; 9.03/3.96 fmapMaybe f (Main.Just x) = Main.Just (f x); 9.03/3.96 9.03/3.96 } 9.03/3.96 9.03/3.96 ---------------------------------------- 9.03/3.96 9.03/3.96 (5) Narrow (EQUIVALENT) 9.03/3.96 Haskell To QDPs 9.03/3.96 9.03/3.96 digraph dp_graph { 9.03/3.96 node [outthreshold=100, inthreshold=100];1[label="fmapMaybe",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.03/3.96 3[label="fmapMaybe vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.03/3.96 4[label="fmapMaybe vx3 vx4",fontsize=16,color="burlywood",shape="triangle"];11[label="vx4/Nothing",fontsize=10,color="white",style="solid",shape="box"];4 -> 11[label="",style="solid", color="burlywood", weight=9]; 9.03/3.96 11 -> 5[label="",style="solid", color="burlywood", weight=3]; 9.03/3.96 12[label="vx4/Just vx40",fontsize=10,color="white",style="solid",shape="box"];4 -> 12[label="",style="solid", color="burlywood", weight=9]; 9.03/3.96 12 -> 6[label="",style="solid", color="burlywood", weight=3]; 9.03/3.96 5[label="fmapMaybe vx3 Nothing",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3]; 9.03/3.96 6[label="fmapMaybe vx3 (Just vx40)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 9.03/3.96 7[label="Nothing",fontsize=16,color="green",shape="box"];8[label="Just (vx3 vx40)",fontsize=16,color="green",shape="box"];8 -> 9[label="",style="dashed", color="green", weight=3]; 9.03/3.96 9[label="vx3 vx40",fontsize=16,color="green",shape="box"];9 -> 10[label="",style="dashed", color="green", weight=3]; 9.03/3.96 10[label="vx40",fontsize=16,color="green",shape="box"];} 9.03/3.96 9.03/3.96 ---------------------------------------- 9.03/3.96
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