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Haskell 2019-04-01 06.52 pair #433317213
details
property
value
status
complete
benchmark
foldl_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n055.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.79507 seconds
cpu usage
9.51203
user time
9.21254
system time
0.29949
max virtual memory
1.828352E7
max residence set size
597040.0
stage attributes
key
value
starexec-result
YES
output
7.72/4.24 YES 9.46/4.74 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.46/4.74 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.46/4.74 9.46/4.74 9.46/4.74 H-Termination with start terms of the given HASKELL could be proven: 9.46/4.74 9.46/4.74 (0) HASKELL 9.46/4.74 (1) BR [EQUIVALENT, 0 ms] 9.46/4.74 (2) HASKELL 9.46/4.74 (3) COR [EQUIVALENT, 0 ms] 9.46/4.74 (4) HASKELL 9.46/4.74 (5) Narrow [SOUND, 0 ms] 9.46/4.74 (6) QDP 9.46/4.74 (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.46/4.74 (8) YES 9.46/4.74 9.46/4.74 9.46/4.74 ---------------------------------------- 9.46/4.74 9.46/4.74 (0) 9.46/4.74 Obligation: 9.46/4.74 mainModule Main 9.46/4.74 module Main where { 9.46/4.74 import qualified Prelude; 9.46/4.74 data List a = Cons a (List a) | Nil ; 9.46/4.74 9.46/4.74 foldl :: (b -> a -> b) -> b -> List a -> b; 9.46/4.74 foldl f z Nil = z; 9.46/4.74 foldl f z (Cons x xs) = foldl f (f z x) xs; 9.46/4.74 9.46/4.74 } 9.46/4.74 9.46/4.74 ---------------------------------------- 9.46/4.74 9.46/4.74 (1) BR (EQUIVALENT) 9.46/4.74 Replaced joker patterns by fresh variables and removed binding patterns. 9.46/4.74 ---------------------------------------- 9.46/4.74 9.46/4.74 (2) 9.46/4.74 Obligation: 9.46/4.74 mainModule Main 9.46/4.74 module Main where { 9.46/4.74 import qualified Prelude; 9.46/4.74 data List a = Cons a (List a) | Nil ; 9.46/4.74 9.46/4.74 foldl :: (a -> b -> a) -> a -> List b -> a; 9.46/4.74 foldl f z Nil = z; 9.46/4.74 foldl f z (Cons x xs) = foldl f (f z x) xs; 9.46/4.74 9.46/4.74 } 9.46/4.74 9.46/4.74 ---------------------------------------- 9.46/4.74 9.46/4.74 (3) COR (EQUIVALENT) 9.46/4.74 Cond Reductions: 9.46/4.74 The following Function with conditions 9.46/4.74 "undefined |Falseundefined; 9.46/4.74 " 9.46/4.74 is transformed to 9.46/4.74 "undefined = undefined1; 9.46/4.74 " 9.46/4.74 "undefined0 True = undefined; 9.46/4.74 " 9.46/4.74 "undefined1 = undefined0 False; 9.46/4.74 " 9.46/4.74 9.46/4.74 ---------------------------------------- 9.46/4.74 9.46/4.74 (4) 9.46/4.74 Obligation: 9.46/4.74 mainModule Main 9.46/4.74 module Main where { 9.46/4.74 import qualified Prelude; 9.46/4.74 data List a = Cons a (List a) | Nil ; 9.46/4.74 9.46/4.74 foldl :: (a -> b -> a) -> a -> List b -> a; 9.46/4.74 foldl f z Nil = z; 9.46/4.74 foldl f z (Cons x xs) = foldl f (f z x) xs; 9.46/4.74 9.46/4.74 } 9.46/4.74 9.46/4.74 ---------------------------------------- 9.46/4.74 9.46/4.74 (5) Narrow (SOUND) 9.46/4.74 Haskell To QDPs 9.46/4.74 9.46/4.74 digraph dp_graph { 9.46/4.74 node [outthreshold=100, inthreshold=100];1[label="foldl",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.46/4.74 3[label="foldl vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.46/4.74 4[label="foldl vx3 vx4",fontsize=16,color="grey",shape="box"];4 -> 5[label="",style="dashed", color="grey", weight=3]; 9.46/4.74 5[label="foldl vx3 vx4 vx5",fontsize=16,color="burlywood",shape="triangle"];14[label="vx5/Cons vx50 vx51",fontsize=10,color="white",style="solid",shape="box"];5 -> 14[label="",style="solid", color="burlywood", weight=9]; 9.46/4.74 14 -> 6[label="",style="solid", color="burlywood", weight=3]; 9.46/4.74 15[label="vx5/Nil",fontsize=10,color="white",style="solid",shape="box"];5 -> 15[label="",style="solid", color="burlywood", weight=9]; 9.46/4.74 15 -> 7[label="",style="solid", color="burlywood", weight=3]; 9.46/4.74 6[label="foldl vx3 vx4 (Cons vx50 vx51)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 9.46/4.74 7[label="foldl vx3 vx4 Nil",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 9.46/4.74 8 -> 5[label="",style="dashed", color="red", weight=0]; 9.46/4.74 8[label="foldl vx3 (vx3 vx4 vx50) vx51",fontsize=16,color="magenta"];8 -> 10[label="",style="dashed", color="magenta", weight=3]; 9.46/4.74 8 -> 11[label="",style="dashed", color="magenta", weight=3];
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