details

property	value
status	complete
benchmark	Prelude_lookup_6.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n165.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.03526 seconds
cpu usage	9.62572
user time	9.31524
system time	0.310478
max virtual memory	1.8285252E7
max residence set size	573404.0

stage attributes

key	value
starexec-result	YES

output

7.91/3.54 YES 9.49/3.96 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.49/3.96 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.49/3.96 9.49/3.96 9.49/3.96 H-Termination with start terms of the given HASKELL could be proven: 9.49/3.96 9.49/3.96 (0) HASKELL 9.49/3.96 (1) BR [EQUIVALENT, 0 ms] 9.49/3.96 (2) HASKELL 9.49/3.96 (3) COR [EQUIVALENT, 0 ms] 9.49/3.96 (4) HASKELL 9.49/3.96 (5) Narrow [SOUND, 0 ms] 9.49/3.96 (6) QDP 9.49/3.96 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 9.49/3.96 (8) AND 9.49/3.96 (9) QDP 9.49/3.96 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.49/3.96 (11) YES 9.49/3.96 (12) QDP 9.49/3.96 (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.49/3.96 (14) YES 9.49/3.96 9.49/3.96 9.49/3.96 ---------------------------------------- 9.49/3.96 9.49/3.96 (0) 9.49/3.96 Obligation: 9.49/3.96 mainModule Main 9.49/3.96 module Main where { 9.49/3.96 import qualified Prelude; 9.49/3.96 } 9.49/3.96 9.49/3.96 ---------------------------------------- 9.49/3.96 9.49/3.96 (1) BR (EQUIVALENT) 9.49/3.96 Replaced joker patterns by fresh variables and removed binding patterns. 9.49/3.96 ---------------------------------------- 9.49/3.96 9.49/3.96 (2) 9.49/3.96 Obligation: 9.49/3.96 mainModule Main 9.49/3.96 module Main where { 9.49/3.96 import qualified Prelude; 9.49/3.96 } 9.49/3.96 9.49/3.96 ---------------------------------------- 9.49/3.96 9.49/3.96 (3) COR (EQUIVALENT) 9.49/3.96 Cond Reductions: 9.49/3.96 The following Function with conditions 9.49/3.96 "lookup k [] = Nothing; 9.49/3.96 lookup k ((x,y) : xys)|k == xJust y|otherwiselookup k xys; 9.49/3.96 " 9.49/3.96 is transformed to 9.49/3.96 "lookup k [] = lookup3 k []; 9.49/3.96 lookup k ((x,y) : xys) = lookup2 k ((x,y) : xys); 9.49/3.96 " 9.49/3.96 "lookup0 k x y xys True = lookup k xys; 9.49/3.96 " 9.49/3.96 "lookup1 k x y xys True = Just y; 9.49/3.96 lookup1 k x y xys False = lookup0 k x y xys otherwise; 9.49/3.96 " 9.49/3.96 "lookup2 k ((x,y) : xys) = lookup1 k x y xys (k == x); 9.49/3.96 " 9.49/3.96 "lookup3 k [] = Nothing; 9.49/3.96 lookup3 wu wv = lookup2 wu wv; 9.49/3.96 " 9.49/3.96 The following Function with conditions 9.49/3.96 "undefined |Falseundefined; 9.49/3.96 " 9.49/3.96 is transformed to 9.49/3.96 "undefined = undefined1; 9.49/3.96 " 9.49/3.96 "undefined0 True = undefined; 9.49/3.96 " 9.49/3.96 "undefined1 = undefined0 False; 9.49/3.96 " 9.49/3.96 9.49/3.96 ---------------------------------------- 9.49/3.96 9.49/3.96 (4) 9.49/3.96 Obligation: 9.49/3.96 mainModule Main 9.49/3.96 module Main where { 9.49/3.96 import qualified Prelude; 9.49/3.96 } 9.49/3.96 9.49/3.96 ---------------------------------------- 9.49/3.96 9.49/3.96 (5) Narrow (SOUND) 9.49/3.96 Haskell To QDPs 9.49/3.96 9.49/3.96 digraph dp_graph { 9.49/3.96 node [outthreshold=100, inthreshold=100];1[label="lookup",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.49/3.96 3[label="lookup ww3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.49/3.96 4[label="lookup ww3 ww4",fontsize=16,color="burlywood",shape="triangle"];34[label="ww4/ww40 : ww41",fontsize=10,color="white",style="solid",shape="box"];4 -> 34[label="",style="solid", color="burlywood", weight=9]; 9.49/3.96 34 -> 5[label="",style="solid", color="burlywood", weight=3]; 9.49/3.96 35[label="ww4/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 35[label="",style="solid", color="burlywood", weight=9]; 9.49/3.96 35 -> 6[label="",style="solid", color="burlywood", weight=3]; popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to Haskell 2019-04-01 06.52