details

property	value
status	complete
benchmark	Prelude_notElem_3.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n125.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.11552 seconds
cpu usage	9.71629
user time	9.42864
system time	0.287653
max virtual memory	1.828352E7
max residence set size	550044.0

stage attributes

key	value
starexec-result	YES

output

7.99/3.63 YES 9.48/4.07 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 9.48/4.07 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.48/4.07 9.48/4.07 9.48/4.07 H-Termination with start terms of the given HASKELL could be proven: 9.48/4.07 9.48/4.07 (0) HASKELL 9.48/4.07 (1) BR [EQUIVALENT, 0 ms] 9.48/4.07 (2) HASKELL 9.48/4.07 (3) COR [EQUIVALENT, 0 ms] 9.48/4.07 (4) HASKELL 9.48/4.07 (5) Narrow [SOUND, 0 ms] 9.48/4.07 (6) AND 9.48/4.07 (7) QDP 9.48/4.07 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.48/4.07 (9) YES 9.48/4.07 (10) QDP 9.48/4.07 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.48/4.07 (12) YES 9.48/4.07 9.48/4.07 9.48/4.07 ---------------------------------------- 9.48/4.07 9.48/4.07 (0) 9.48/4.07 Obligation: 9.48/4.07 mainModule Main 9.48/4.07 module Main where { 9.48/4.07 import qualified Prelude; 9.48/4.07 } 9.48/4.07 9.48/4.07 ---------------------------------------- 9.48/4.07 9.48/4.07 (1) BR (EQUIVALENT) 9.48/4.07 Replaced joker patterns by fresh variables and removed binding patterns. 9.48/4.07 ---------------------------------------- 9.48/4.07 9.48/4.07 (2) 9.48/4.07 Obligation: 9.48/4.07 mainModule Main 9.48/4.07 module Main where { 9.48/4.07 import qualified Prelude; 9.48/4.07 } 9.48/4.07 9.48/4.07 ---------------------------------------- 9.48/4.07 9.48/4.07 (3) COR (EQUIVALENT) 9.48/4.07 Cond Reductions: 9.48/4.07 The following Function with conditions 9.48/4.07 "undefined |Falseundefined; 9.48/4.07 " 9.48/4.07 is transformed to 9.48/4.07 "undefined = undefined1; 9.48/4.07 " 9.48/4.07 "undefined0 True = undefined; 9.48/4.07 " 9.48/4.07 "undefined1 = undefined0 False; 9.48/4.07 " 9.48/4.07 9.48/4.07 ---------------------------------------- 9.48/4.07 9.48/4.07 (4) 9.48/4.07 Obligation: 9.48/4.07 mainModule Main 9.48/4.07 module Main where { 9.48/4.07 import qualified Prelude; 9.48/4.07 } 9.48/4.07 9.48/4.07 ---------------------------------------- 9.48/4.07 9.48/4.07 (5) Narrow (SOUND) 9.48/4.07 Haskell To QDPs 9.48/4.07 9.48/4.07 digraph dp_graph { 9.48/4.07 node [outthreshold=100, inthreshold=100];1[label="notElem",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.48/4.07 3[label="notElem vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.48/4.07 4[label="notElem vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.48/4.07 5[label="all . (/=)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 9.48/4.07 6[label="all ((/=) vx3) vx4",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 9.48/4.07 7[label="and . map ((/=) vx3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 9.48/4.07 8[label="and (map ((/=) vx3) vx4)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9.48/4.07 9[label="foldr (&&) True (map ((/=) vx3) vx4)",fontsize=16,color="burlywood",shape="triangle"];40[label="vx4/vx40 : vx41",fontsize=10,color="white",style="solid",shape="box"];9 -> 40[label="",style="solid", color="burlywood", weight=9]; 9.48/4.07 40 -> 10[label="",style="solid", color="burlywood", weight=3]; 9.48/4.07 41[label="vx4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 41[label="",style="solid", color="burlywood", weight=9]; 9.48/4.07 41 -> 11[label="",style="solid", color="burlywood", weight=3]; 9.48/4.07 10[label="foldr (&&) True (map ((/=) vx3) (vx40 : vx41))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3]; 9.48/4.07 11[label="foldr (&&) True (map ((/=) vx3) [])",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 9.48/4.07 12[label="foldr (&&) True (((/=) vx3 vx40) : map ((/=) vx3) vx41)",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3]; 9.48/4.07 13[label="foldr (&&) True []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3]; 9.48/4.07 14 -> 16[label="",style="dashed", color="red", weight=0]; 9.48/4.07 14[label="(&&) (/=) vx3 vx40 foldr (&&) True (map ((/=) vx3) vx41)",fontsize=16,color="magenta"];14 -> 17[label="",style="dashed", color="magenta", weight=3]; 9.48/4.07 15[label="True",fontsize=16,color="green",shape="box"];17 -> 9[label="",style="dashed", color="red", weight=0]; 9.48/4.07 17[label="foldr (&&) True (map ((/=) vx3) vx41)",fontsize=16,color="magenta"];17 -> 18[label="",style="dashed", color="magenta", weight=3]; 9.48/4.07 16[label="(&&) (/=) vx3 vx40 vx5",fontsize=16,color="black",shape="triangle"];16 -> 19[label="",style="solid", color="black", weight=3]; 9.48/4.07 18[label="vx41",fontsize=16,color="green",shape="box"];19[label="(&&) not (vx3 == vx40) vx5",fontsize=16,color="black",shape="box"];19 -> 20[label="",style="solid", color="black", weight=3]; 9.48/4.07 20[label="(&&) not (primEqChar vx3 vx40) vx5",fontsize=16,color="burlywood",shape="box"];42[label="vx3/Char vx30",fontsize=10,color="white",style="solid",shape="box"];20 -> 42[label="",style="solid", color="burlywood", weight=9]; 9.48/4.07 42 -> 21[label="",style="solid", color="burlywood", weight=3]; 9.48/4.07 21[label="(&&) not (primEqChar (Char vx30) vx40) vx5",fontsize=16,color="burlywood",shape="box"];43[label="vx40/Char vx400",fontsize=10,color="white",style="solid",shape="box"];21 -> 43[label="",style="solid", color="burlywood", weight=9]; 9.48/4.07 43 -> 22[label="",style="solid", color="burlywood", weight=3]; 9.48/4.07 22[label="(&&) not (primEqChar (Char vx30) (Char vx400)) vx5",fontsize=16,color="black",shape="box"];22 -> 23[label="",style="solid", color="black", weight=3]; popout

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all output return to Haskell 2019-04-01 06.52