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Haskell 2019-04-01 06.52 pair #433316411
details
property
value
status
complete
benchmark
Prelude_takeWhile_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n047.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.0302 seconds
cpu usage
9.4797
user time
9.2017
system time
0.277992
max virtual memory
1.828352E7
max residence set size
595864.0
stage attributes
key
value
starexec-result
YES
output
7.77/3.54 YES 9.38/3.98 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.38/3.98 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.38/3.98 9.38/3.98 9.38/3.98 H-Termination with start terms of the given HASKELL could be proven: 9.38/3.98 9.38/3.98 (0) HASKELL 9.38/3.98 (1) BR [EQUIVALENT, 0 ms] 9.38/3.98 (2) HASKELL 9.38/3.98 (3) COR [EQUIVALENT, 0 ms] 9.38/3.98 (4) HASKELL 9.38/3.98 (5) Narrow [SOUND, 0 ms] 9.38/3.98 (6) QDP 9.38/3.98 (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.38/3.98 (8) YES 9.38/3.98 9.38/3.98 9.38/3.98 ---------------------------------------- 9.38/3.98 9.38/3.98 (0) 9.38/3.98 Obligation: 9.38/3.98 mainModule Main 9.38/3.98 module Main where { 9.38/3.98 import qualified Prelude; 9.38/3.98 } 9.38/3.98 9.38/3.98 ---------------------------------------- 9.38/3.98 9.38/3.98 (1) BR (EQUIVALENT) 9.38/3.98 Replaced joker patterns by fresh variables and removed binding patterns. 9.38/3.98 ---------------------------------------- 9.38/3.98 9.38/3.98 (2) 9.38/3.98 Obligation: 9.38/3.98 mainModule Main 9.38/3.98 module Main where { 9.38/3.98 import qualified Prelude; 9.38/3.98 } 9.38/3.98 9.38/3.98 ---------------------------------------- 9.38/3.98 9.38/3.98 (3) COR (EQUIVALENT) 9.38/3.98 Cond Reductions: 9.38/3.98 The following Function with conditions 9.38/3.98 "takeWhile p [] = []; 9.38/3.98 takeWhile p (x : xs)|p xx : takeWhile p xs|otherwise[]; 9.38/3.98 " 9.38/3.98 is transformed to 9.38/3.98 "takeWhile p [] = takeWhile3 p []; 9.38/3.98 takeWhile p (x : xs) = takeWhile2 p (x : xs); 9.38/3.98 " 9.38/3.98 "takeWhile0 p x xs True = []; 9.38/3.98 " 9.38/3.98 "takeWhile1 p x xs True = x : takeWhile p xs; 9.38/3.98 takeWhile1 p x xs False = takeWhile0 p x xs otherwise; 9.38/3.98 " 9.38/3.98 "takeWhile2 p (x : xs) = takeWhile1 p x xs (p x); 9.38/3.98 " 9.38/3.98 "takeWhile3 p [] = []; 9.38/3.98 takeWhile3 vz wu = takeWhile2 vz wu; 9.38/3.98 " 9.38/3.98 The following Function with conditions 9.38/3.98 "undefined |Falseundefined; 9.38/3.98 " 9.38/3.98 is transformed to 9.38/3.98 "undefined = undefined1; 9.38/3.98 " 9.38/3.98 "undefined0 True = undefined; 9.38/3.98 " 9.38/3.98 "undefined1 = undefined0 False; 9.38/3.98 " 9.38/3.98 9.38/3.98 ---------------------------------------- 9.38/3.98 9.38/3.98 (4) 9.38/3.98 Obligation: 9.38/3.98 mainModule Main 9.38/3.98 module Main where { 9.38/3.98 import qualified Prelude; 9.38/3.98 } 9.38/3.98 9.38/3.98 ---------------------------------------- 9.38/3.98 9.38/3.98 (5) Narrow (SOUND) 9.38/3.98 Haskell To QDPs 9.38/3.98 9.38/3.98 digraph dp_graph { 9.38/3.98 node [outthreshold=100, inthreshold=100];1[label="takeWhile",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.38/3.98 3[label="takeWhile wv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.38/3.98 4[label="takeWhile wv3 wv4",fontsize=16,color="burlywood",shape="triangle"];23[label="wv4/wv40 : wv41",fontsize=10,color="white",style="solid",shape="box"];4 -> 23[label="",style="solid", color="burlywood", weight=9]; 9.38/3.98 23 -> 5[label="",style="solid", color="burlywood", weight=3]; 9.38/3.98 24[label="wv4/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 24[label="",style="solid", color="burlywood", weight=9]; 9.38/3.98 24 -> 6[label="",style="solid", color="burlywood", weight=3]; 9.38/3.98 5[label="takeWhile wv3 (wv40 : wv41)",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3]; 9.38/3.98 6[label="takeWhile wv3 []",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 9.38/3.98 7[label="takeWhile2 wv3 (wv40 : wv41)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 9.38/3.98 8[label="takeWhile3 wv3 []",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 9.38/3.98 9 -> 11[label="",style="dashed", color="red", weight=0]; 9.38/3.98 9[label="takeWhile1 wv3 wv40 wv41 (wv3 wv40)",fontsize=16,color="magenta"];9 -> 12[label="",style="dashed", color="magenta", weight=3];
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