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Haskell 2019-04-01 06.52 pair #433316517
details
property
value
status
complete
benchmark
Prelude_elem_5.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.99243 seconds
cpu usage
9.81895
user time
9.53415
system time
0.284794
max virtual memory
1.8285296E7
max residence set size
573632.0
stage attributes
key
value
starexec-result
YES
output
8.08/3.53 YES 9.71/3.96 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.71/3.96 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.71/3.96 9.71/3.96 9.71/3.96 H-Termination with start terms of the given HASKELL could be proven: 9.71/3.96 9.71/3.96 (0) HASKELL 9.71/3.96 (1) BR [EQUIVALENT, 0 ms] 9.71/3.96 (2) HASKELL 9.71/3.96 (3) COR [EQUIVALENT, 0 ms] 9.71/3.96 (4) HASKELL 9.71/3.96 (5) Narrow [SOUND, 0 ms] 9.71/3.96 (6) AND 9.71/3.96 (7) QDP 9.71/3.96 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.71/3.96 (9) YES 9.71/3.96 (10) QDP 9.71/3.96 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.71/3.96 (12) YES 9.71/3.96 9.71/3.96 9.71/3.96 ---------------------------------------- 9.71/3.96 9.71/3.96 (0) 9.71/3.96 Obligation: 9.71/3.96 mainModule Main 9.71/3.96 module Main where { 9.71/3.96 import qualified Prelude; 9.71/3.96 } 9.71/3.96 9.71/3.96 ---------------------------------------- 9.71/3.96 9.71/3.96 (1) BR (EQUIVALENT) 9.71/3.96 Replaced joker patterns by fresh variables and removed binding patterns. 9.71/3.96 ---------------------------------------- 9.71/3.96 9.71/3.96 (2) 9.71/3.96 Obligation: 9.71/3.96 mainModule Main 9.71/3.96 module Main where { 9.71/3.96 import qualified Prelude; 9.71/3.96 } 9.71/3.96 9.71/3.96 ---------------------------------------- 9.71/3.96 9.71/3.96 (3) COR (EQUIVALENT) 9.71/3.96 Cond Reductions: 9.71/3.96 The following Function with conditions 9.71/3.96 "undefined |Falseundefined; 9.71/3.96 " 9.71/3.96 is transformed to 9.71/3.96 "undefined = undefined1; 9.71/3.96 " 9.71/3.96 "undefined0 True = undefined; 9.71/3.96 " 9.71/3.96 "undefined1 = undefined0 False; 9.71/3.96 " 9.71/3.96 9.71/3.96 ---------------------------------------- 9.71/3.96 9.71/3.96 (4) 9.71/3.96 Obligation: 9.71/3.96 mainModule Main 9.71/3.96 module Main where { 9.71/3.96 import qualified Prelude; 9.71/3.96 } 9.71/3.96 9.71/3.96 ---------------------------------------- 9.71/3.96 9.71/3.96 (5) Narrow (SOUND) 9.71/3.96 Haskell To QDPs 9.71/3.96 9.71/3.96 digraph dp_graph { 9.71/3.96 node [outthreshold=100, inthreshold=100];1[label="elem",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.71/3.96 3[label="elem vz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.71/3.96 4[label="elem vz3 vz4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.71/3.96 5[label="any . (==)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 9.71/3.96 6[label="any ((==) vz3) vz4",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 9.71/3.96 7[label="or . map ((==) vz3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 9.71/3.96 8[label="or (map ((==) vz3) vz4)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9.71/3.96 9[label="foldr (||) False (map ((==) vz3) vz4)",fontsize=16,color="burlywood",shape="triangle"];76[label="vz4/vz40 : vz41",fontsize=10,color="white",style="solid",shape="box"];9 -> 76[label="",style="solid", color="burlywood", weight=9]; 9.71/3.96 76 -> 10[label="",style="solid", color="burlywood", weight=3]; 9.71/3.96 77[label="vz4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 77[label="",style="solid", color="burlywood", weight=9]; 9.71/3.96 77 -> 11[label="",style="solid", color="burlywood", weight=3]; 9.71/3.96 10[label="foldr (||) False (map ((==) vz3) (vz40 : vz41))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3]; 9.71/3.96 11[label="foldr (||) False (map ((==) vz3) [])",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 9.71/3.96 12[label="foldr (||) False (((==) vz3 vz40) : map ((==) vz3) vz41)",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3]; 9.71/3.96 13[label="foldr (||) False []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3]; 9.71/3.96 14 -> 16[label="",style="dashed", color="red", weight=0]; 9.71/3.96 14[label="(||) (==) vz3 vz40 foldr (||) False (map ((==) vz3) vz41)",fontsize=16,color="magenta"];14 -> 17[label="",style="dashed", color="magenta", weight=3]; 9.71/3.96 15[label="False",fontsize=16,color="green",shape="box"];17 -> 9[label="",style="dashed", color="red", weight=0]; 9.71/3.96 17[label="foldr (||) False (map ((==) vz3) vz41)",fontsize=16,color="magenta"];17 -> 18[label="",style="dashed", color="magenta", weight=3]; 9.71/3.96 16[label="(||) (==) vz3 vz40 vz5",fontsize=16,color="black",shape="triangle"];16 -> 19[label="",style="solid", color="black", weight=3]; 9.71/3.96 18[label="vz41",fontsize=16,color="green",shape="box"];19[label="(||) primEqInt vz3 vz40 vz5",fontsize=16,color="burlywood",shape="box"];78[label="vz3/Pos vz30",fontsize=10,color="white",style="solid",shape="box"];19 -> 78[label="",style="solid", color="burlywood", weight=9]; 9.71/3.96 78 -> 20[label="",style="solid", color="burlywood", weight=3]; 9.71/3.96 79[label="vz3/Neg vz30",fontsize=10,color="white",style="solid",shape="box"];19 -> 79[label="",style="solid", color="burlywood", weight=9]; 9.71/3.96 79 -> 21[label="",style="solid", color="burlywood", weight=3]; 9.71/3.96 20[label="(||) primEqInt (Pos vz30) vz40 vz5",fontsize=16,color="burlywood",shape="box"];80[label="vz30/Succ vz300",fontsize=10,color="white",style="solid",shape="box"];20 -> 80[label="",style="solid", color="burlywood", weight=9]; 9.71/3.96 80 -> 22[label="",style="solid", color="burlywood", weight=3];
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return to Haskell 2019-04-01 06.52