details

property	value
status	complete
benchmark	tail_1.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n033.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.01411 seconds
cpu usage	9.41034
user time	9.11888
system time	0.291457
max virtual memory	1.828352E7
max residence set size	568156.0

stage attributes

key	value
starexec-result	YES

output

7.65/3.49 YES 9.23/3.97 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.23/3.97 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.23/3.97 9.23/3.97 9.23/3.97 H-Termination with start terms of the given HASKELL could be proven: 9.23/3.97 9.23/3.97 (0) HASKELL 9.23/3.97 (1) BR [EQUIVALENT, 0 ms] 9.23/3.97 (2) HASKELL 9.23/3.97 (3) COR [EQUIVALENT, 0 ms] 9.23/3.97 (4) HASKELL 9.23/3.97 (5) Narrow [EQUIVALENT, 0 ms] 9.23/3.97 (6) YES 9.23/3.97 9.23/3.97 9.23/3.97 ---------------------------------------- 9.23/3.97 9.23/3.97 (0) 9.23/3.97 Obligation: 9.23/3.97 mainModule Main 9.23/3.97 module Main where { 9.23/3.97 import qualified Prelude; 9.23/3.97 data List a = Cons a (List a) | Nil ; 9.23/3.97 9.23/3.97 tail :: List a -> List a; 9.23/3.97 tail (Cons vv xs) = xs; 9.23/3.97 9.23/3.97 } 9.23/3.97 9.23/3.97 ---------------------------------------- 9.23/3.97 9.23/3.97 (1) BR (EQUIVALENT) 9.23/3.97 Replaced joker patterns by fresh variables and removed binding patterns. 9.23/3.97 ---------------------------------------- 9.23/3.97 9.23/3.97 (2) 9.23/3.97 Obligation: 9.23/3.97 mainModule Main 9.23/3.97 module Main where { 9.23/3.97 import qualified Prelude; 9.23/3.97 data List a = Cons a (List a) | Nil ; 9.23/3.97 9.23/3.97 tail :: List a -> List a; 9.23/3.97 tail (Cons vv xs) = xs; 9.23/3.97 9.23/3.97 } 9.23/3.97 9.23/3.97 ---------------------------------------- 9.23/3.97 9.23/3.97 (3) COR (EQUIVALENT) 9.23/3.97 Cond Reductions: 9.23/3.97 The following Function with conditions 9.23/3.97 "undefined |Falseundefined; 9.23/3.97 " 9.23/3.97 is transformed to 9.23/3.97 "undefined = undefined1; 9.23/3.97 " 9.23/3.97 "undefined0 True = undefined; 9.23/3.97 " 9.23/3.97 "undefined1 = undefined0 False; 9.23/3.97 " 9.23/3.97 9.23/3.97 ---------------------------------------- 9.23/3.97 9.23/3.97 (4) 9.23/3.97 Obligation: 9.23/3.97 mainModule Main 9.23/3.97 module Main where { 9.23/3.97 import qualified Prelude; 9.23/3.97 data List a = Cons a (List a) | Nil ; 9.23/3.97 9.23/3.97 tail :: List a -> List a; 9.23/3.97 tail (Cons vv xs) = xs; 9.23/3.97 9.23/3.97 } 9.23/3.97 9.23/3.97 ---------------------------------------- 9.23/3.97 9.23/3.97 (5) Narrow (EQUIVALENT) 9.23/3.97 Haskell To QDPs 9.23/3.97 9.23/3.97 digraph dp_graph { 9.23/3.97 node [outthreshold=100, inthreshold=100];1[label="tail",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.23/3.97 3[label="tail vy3",fontsize=16,color="burlywood",shape="triangle"];8[label="vy3/Cons vy30 vy31",fontsize=10,color="white",style="solid",shape="box"];3 -> 8[label="",style="solid", color="burlywood", weight=9]; 9.23/3.97 8 -> 4[label="",style="solid", color="burlywood", weight=3]; 9.23/3.97 9[label="vy3/Nil",fontsize=10,color="white",style="solid",shape="box"];3 -> 9[label="",style="solid", color="burlywood", weight=9]; 9.23/3.97 9 -> 5[label="",style="solid", color="burlywood", weight=3]; 9.23/3.97 4[label="tail (Cons vy30 vy31)",fontsize=16,color="black",shape="box"];4 -> 6[label="",style="solid", color="black", weight=3]; 9.23/3.97 5[label="tail Nil",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3]; 9.23/3.97 6[label="vy31",fontsize=16,color="green",shape="box"];7[label="error []",fontsize=16,color="red",shape="box"];} 9.23/3.97 9.23/3.97 ---------------------------------------- 9.23/3.97 9.23/3.97 (6) 9.23/3.97 YES 9.23/4.01 EOF popout

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all output return to Haskell 2019-04-01 06.52