details

property	value
status	complete
benchmark	Prelude_concatMap_1.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n075.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.82640719414 seconds
cpu usage	9.436639134
max memory	5.44628736E8

stage attributes

key	value
output-size	6773
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="concatMap",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="concatMap vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="concatMap vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="concat . map vx3",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 6[label="concat (map vx3 vx4)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 7[label="foldr (++) [] (map vx3 vx4)",fontsize=16,color="burlywood",shape="triangle"];30[label="vx4/vx40 : vx41",fontsize=10,color="white",style="solid",shape="box"];7 -> 30[label="",style="solid", color="burlywood", weight=9]; 30 -> 8[label="",style="solid", color="burlywood", weight=3]; 31[label="vx4/[]",fontsize=10,color="white",style="solid",shape="box"];7 -> 31[label="",style="solid", color="burlywood", weight=9]; 31 -> 9[label="",style="solid", color="burlywood", weight=3]; 8[label="foldr (++) [] (map vx3 (vx40 : vx41))",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 9[label="foldr (++) [] (map vx3 [])",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3]; 10[label="foldr (++) [] (vx3 vx40 : map vx3 vx41)",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3]; 11[label="foldr (++) [] []",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 12 -> 17[label="",style="dashed", color="red", weight=0]; 12[label="(++) vx3 vx40 foldr (++) [] (map vx3 vx41)",fontsize=16,color="magenta"];12 -> 18[label="",style="dashed", color="magenta", weight=3]; 12 -> 19[label="",style="dashed", color="magenta", weight=3]; 13[label="[]",fontsize=16,color="green",shape="box"];18 -> 7[label="",style="dashed", color="red", weight=0]; 18[label="foldr (++) [] (map vx3 vx41)",fontsize=16,color="magenta"];18 -> 21[label="",style="dashed", color="magenta", weight=3]; 19[label="vx3 vx40",fontsize=16,color="green",shape="box"];19 -> 22[label="",style="dashed", color="green", weight=3]; 17[label="(++) vx6 vx5",fontsize=16,color="burlywood",shape="triangle"];32[label="vx6/vx60 : vx61",fontsize=10,color="white",style="solid",shape="box"];17 -> 32[label="",style="solid", color="burlywood", weight=9]; popout

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actions

all output return to Funct Progr 77531