details

property	value
status	complete
benchmark	fmap_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n156.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.16381 seconds
cpu usage	9.79714
user time	9.44342
system time	0.353713
max virtual memory	1.8288632E7
max residence set size	625740.0

stage attributes

key	value
starexec-result	YES

output

7.52/3.51 YES 9.51/4.02 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.51/4.02 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.51/4.02 9.51/4.02 9.51/4.02 H-Termination with start terms of the given HASKELL could be proven: 9.51/4.02 9.51/4.02 (0) HASKELL 9.51/4.02 (1) BR [EQUIVALENT, 0 ms] 9.51/4.02 (2) HASKELL 9.51/4.02 (3) COR [EQUIVALENT, 0 ms] 9.51/4.02 (4) HASKELL 9.51/4.02 (5) Narrow [SOUND, 0 ms] 9.51/4.02 (6) QDP 9.51/4.02 (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.51/4.02 (8) YES 9.51/4.02 9.51/4.02 9.51/4.02 ---------------------------------------- 9.51/4.02 9.51/4.02 (0) 9.51/4.02 Obligation: 9.51/4.02 mainModule Main 9.51/4.02 module Main where { 9.51/4.02 import qualified Prelude; 9.51/4.02 data List a = Cons a (List a) | Nil ; 9.51/4.02 9.51/4.02 map :: (a -> b) -> List a -> List b; 9.51/4.02 map f Nil = Nil; 9.51/4.02 map f (Cons x xs) = Cons (f x) (map f xs); 9.51/4.02 9.51/4.02 } 9.51/4.02 9.51/4.02 ---------------------------------------- 9.51/4.02 9.51/4.02 (1) BR (EQUIVALENT) 9.51/4.02 Replaced joker patterns by fresh variables and removed binding patterns. 9.51/4.02 ---------------------------------------- 9.51/4.02 9.51/4.02 (2) 9.51/4.02 Obligation: 9.51/4.02 mainModule Main 9.51/4.02 module Main where { 9.51/4.02 import qualified Prelude; 9.51/4.02 data List a = Cons a (List a) | Nil ; 9.51/4.02 9.51/4.02 map :: (b -> a) -> List b -> List a; 9.51/4.02 map f Nil = Nil; 9.51/4.02 map f (Cons x xs) = Cons (f x) (map f xs); 9.51/4.02 9.51/4.02 } 9.51/4.02 9.51/4.02 ---------------------------------------- 9.51/4.02 9.51/4.02 (3) COR (EQUIVALENT) 9.51/4.02 Cond Reductions: 9.51/4.02 The following Function with conditions 9.51/4.02 "undefined |Falseundefined; 9.51/4.02 " 9.51/4.02 is transformed to 9.51/4.02 "undefined = undefined1; 9.51/4.02 " 9.51/4.02 "undefined0 True = undefined; 9.51/4.02 " 9.51/4.02 "undefined1 = undefined0 False; 9.51/4.02 " 9.51/4.02 9.51/4.02 ---------------------------------------- 9.51/4.02 9.51/4.02 (4) 9.51/4.02 Obligation: 9.51/4.02 mainModule Main 9.51/4.02 module Main where { 9.51/4.02 import qualified Prelude; 9.51/4.02 data List a = Cons a (List a) | Nil ; 9.51/4.02 9.51/4.02 map :: (a -> b) -> List a -> List b; 9.51/4.02 map f Nil = Nil; 9.51/4.02 map f (Cons x xs) = Cons (f x) (map f xs); 9.51/4.02 9.51/4.02 } 9.51/4.02 9.51/4.02 ---------------------------------------- 9.51/4.02 9.51/4.02 (5) Narrow (SOUND) 9.51/4.02 Haskell To QDPs 9.51/4.02 9.51/4.02 digraph dp_graph { 9.51/4.02 node [outthreshold=100, inthreshold=100];1[label="map",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.51/4.02 3[label="map vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.51/4.02 4[label="map vx3 vx4",fontsize=16,color="burlywood",shape="triangle"];13[label="vx4/Cons vx40 vx41",fontsize=10,color="white",style="solid",shape="box"];4 -> 13[label="",style="solid", color="burlywood", weight=9]; 9.51/4.02 13 -> 5[label="",style="solid", color="burlywood", weight=3]; 9.51/4.02 14[label="vx4/Nil",fontsize=10,color="white",style="solid",shape="box"];4 -> 14[label="",style="solid", color="burlywood", weight=9]; 9.51/4.02 14 -> 6[label="",style="solid", color="burlywood", weight=3]; 9.51/4.02 5[label="map vx3 (Cons vx40 vx41)",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3]; 9.51/4.02 6[label="map vx3 Nil",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 9.51/4.02 7[label="Cons (vx3 vx40) (map vx3 vx41)",fontsize=16,color="green",shape="box"];7 -> 9[label="",style="dashed", color="green", weight=3]; 9.51/4.02 7 -> 10[label="",style="dashed", color="green", weight=3]; 9.51/4.02 8[label="Nil",fontsize=16,color="green",shape="box"];9[label="vx3 vx40",fontsize=16,color="green",shape="box"];9 -> 11[label="",style="dashed", color="green", weight=3]; 9.51/4.02 10 -> 4[label="",style="dashed", color="red", weight=0]; popout

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actions

all output return to Haskell 2019-04-01 06.52