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Haskell 2019-04-01 06.52 pair #433315827
details
property
value
status
complete
benchmark
Prelude_maximum_7.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n089.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
16.8707 seconds
cpu usage
32.0209
user time
30.8555
system time
1.16538
max virtual memory
1.828352E7
max residence set size
3936332.0
stage attributes
key
value
starexec-result
YES
output
30.20/16.31 YES 31.77/16.78 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 31.77/16.78 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 31.77/16.78 31.77/16.78 31.77/16.78 H-Termination with start terms of the given HASKELL could be proven: 31.77/16.78 31.77/16.78 (0) HASKELL 31.77/16.78 (1) BR [EQUIVALENT, 0 ms] 31.77/16.78 (2) HASKELL 31.77/16.78 (3) COR [EQUIVALENT, 0 ms] 31.77/16.78 (4) HASKELL 31.77/16.78 (5) Narrow [SOUND, 0 ms] 31.77/16.78 (6) AND 31.77/16.78 (7) QDP 31.77/16.78 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 31.77/16.78 (9) YES 31.77/16.78 (10) QDP 31.77/16.78 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 31.77/16.78 (12) YES 31.77/16.78 (13) QDP 31.77/16.78 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 31.77/16.78 (15) YES 31.77/16.78 (16) QDP 31.77/16.78 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 31.77/16.78 (18) YES 31.77/16.78 31.77/16.78 31.77/16.78 ---------------------------------------- 31.77/16.78 31.77/16.78 (0) 31.77/16.78 Obligation: 31.77/16.78 mainModule Main 31.77/16.78 module Main where { 31.77/16.78 import qualified Prelude; 31.77/16.78 } 31.77/16.78 31.77/16.78 ---------------------------------------- 31.77/16.78 31.77/16.78 (1) BR (EQUIVALENT) 31.77/16.78 Replaced joker patterns by fresh variables and removed binding patterns. 31.77/16.78 ---------------------------------------- 31.77/16.78 31.77/16.78 (2) 31.77/16.78 Obligation: 31.77/16.78 mainModule Main 31.77/16.78 module Main where { 31.77/16.78 import qualified Prelude; 31.77/16.78 } 31.77/16.78 31.77/16.78 ---------------------------------------- 31.77/16.78 31.77/16.78 (3) COR (EQUIVALENT) 31.77/16.78 Cond Reductions: 31.77/16.78 The following Function with conditions 31.77/16.78 "max x y|x <= yy|otherwisex; 31.77/16.78 " 31.77/16.78 is transformed to 31.77/16.78 "max x y = max2 x y; 31.77/16.78 " 31.77/16.78 "max1 x y True = y; 31.77/16.78 max1 x y False = max0 x y otherwise; 31.77/16.78 " 31.77/16.78 "max0 x y True = x; 31.77/16.78 " 31.77/16.78 "max2 x y = max1 x y (x <= y); 31.77/16.78 " 31.77/16.78 The following Function with conditions 31.77/16.78 "undefined |Falseundefined; 31.77/16.78 " 31.77/16.78 is transformed to 31.77/16.78 "undefined = undefined1; 31.77/16.78 " 31.77/16.78 "undefined0 True = undefined; 31.77/16.78 " 31.77/16.78 "undefined1 = undefined0 False; 31.77/16.78 " 31.77/16.78 31.77/16.78 ---------------------------------------- 31.77/16.78 31.77/16.78 (4) 31.77/16.78 Obligation: 31.77/16.78 mainModule Main 31.77/16.78 module Main where { 31.77/16.78 import qualified Prelude; 31.77/16.78 } 31.77/16.78 31.77/16.78 ---------------------------------------- 31.77/16.78 31.77/16.78 (5) Narrow (SOUND) 31.77/16.78 Haskell To QDPs 31.77/16.78 31.77/16.78 digraph dp_graph { 31.77/16.78 node [outthreshold=100, inthreshold=100];1[label="maximum",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 31.77/16.78 3[label="maximum vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3]; 31.77/16.78 4[label="foldl1 max vx3",fontsize=16,color="burlywood",shape="box"];6594[label="vx3/vx30 : vx31",fontsize=10,color="white",style="solid",shape="box"];4 -> 6594[label="",style="solid", color="burlywood", weight=9]; 31.77/16.78 6594 -> 5[label="",style="solid", color="burlywood", weight=3]; 31.77/16.78 6595[label="vx3/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 6595[label="",style="solid", color="burlywood", weight=9]; 31.77/16.78 6595 -> 6[label="",style="solid", color="burlywood", weight=3]; 31.77/16.78 5[label="foldl1 max (vx30 : vx31)",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3];
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