details

property	value
status	complete
benchmark	last_1.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n179.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.10721 seconds
cpu usage	9.61154
user time	9.3163
system time	0.295237
max virtual memory	1.8285844E7
max residence set size	560096.0

stage attributes

key	value
starexec-result	YES

output

7.84/3.58 YES 9.44/4.06 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.44/4.06 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.44/4.06 9.44/4.06 9.44/4.06 H-Termination with start terms of the given HASKELL could be proven: 9.44/4.06 9.44/4.06 (0) HASKELL 9.44/4.06 (1) BR [EQUIVALENT, 0 ms] 9.44/4.06 (2) HASKELL 9.44/4.06 (3) COR [EQUIVALENT, 0 ms] 9.44/4.06 (4) HASKELL 9.44/4.06 (5) Narrow [SOUND, 0 ms] 9.44/4.06 (6) QDP 9.44/4.06 (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.44/4.06 (8) YES 9.44/4.06 9.44/4.06 9.44/4.06 ---------------------------------------- 9.44/4.06 9.44/4.06 (0) 9.44/4.06 Obligation: 9.44/4.06 mainModule Main 9.44/4.06 module Main where { 9.44/4.06 import qualified Prelude; 9.44/4.06 data List a = Cons a (List a) | Nil ; 9.44/4.06 9.44/4.06 last :: List a -> a; 9.44/4.06 last (Cons x Nil) = x; 9.44/4.06 last (Cons vv xs) = last xs; 9.44/4.06 9.44/4.06 } 9.44/4.06 9.44/4.06 ---------------------------------------- 9.44/4.06 9.44/4.06 (1) BR (EQUIVALENT) 9.44/4.06 Replaced joker patterns by fresh variables and removed binding patterns. 9.44/4.06 ---------------------------------------- 9.44/4.06 9.44/4.06 (2) 9.44/4.06 Obligation: 9.44/4.06 mainModule Main 9.44/4.06 module Main where { 9.44/4.06 import qualified Prelude; 9.44/4.06 data List a = Cons a (List a) | Nil ; 9.44/4.06 9.44/4.06 last :: List a -> a; 9.44/4.06 last (Cons x Nil) = x; 9.44/4.06 last (Cons vv xs) = last xs; 9.44/4.06 9.44/4.06 } 9.44/4.06 9.44/4.06 ---------------------------------------- 9.44/4.06 9.44/4.06 (3) COR (EQUIVALENT) 9.44/4.06 Cond Reductions: 9.44/4.06 The following Function with conditions 9.44/4.06 "undefined |Falseundefined; 9.44/4.06 " 9.44/4.06 is transformed to 9.44/4.06 "undefined = undefined1; 9.44/4.06 " 9.44/4.06 "undefined0 True = undefined; 9.44/4.06 " 9.44/4.06 "undefined1 = undefined0 False; 9.44/4.06 " 9.44/4.06 9.44/4.06 ---------------------------------------- 9.44/4.06 9.44/4.06 (4) 9.44/4.06 Obligation: 9.44/4.06 mainModule Main 9.44/4.06 module Main where { 9.44/4.06 import qualified Prelude; 9.44/4.06 data List a = Cons a (List a) | Nil ; 9.44/4.06 9.44/4.06 last :: List a -> a; 9.44/4.06 last (Cons x Nil) = x; 9.44/4.06 last (Cons vv xs) = last xs; 9.44/4.06 9.44/4.06 } 9.44/4.06 9.44/4.06 ---------------------------------------- 9.44/4.06 9.44/4.06 (5) Narrow (SOUND) 9.44/4.06 Haskell To QDPs 9.44/4.06 9.44/4.06 digraph dp_graph { 9.44/4.06 node [outthreshold=100, inthreshold=100];1[label="last",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.44/4.06 3[label="last vy3",fontsize=16,color="burlywood",shape="triangle"];12[label="vy3/Cons vy30 vy31",fontsize=10,color="white",style="solid",shape="box"];3 -> 12[label="",style="solid", color="burlywood", weight=9]; 9.44/4.06 12 -> 4[label="",style="solid", color="burlywood", weight=3]; 9.44/4.06 13[label="vy3/Nil",fontsize=10,color="white",style="solid",shape="box"];3 -> 13[label="",style="solid", color="burlywood", weight=9]; 9.44/4.06 13 -> 5[label="",style="solid", color="burlywood", weight=3]; 9.44/4.06 4[label="last (Cons vy30 vy31)",fontsize=16,color="burlywood",shape="box"];14[label="vy31/Cons vy310 vy311",fontsize=10,color="white",style="solid",shape="box"];4 -> 14[label="",style="solid", color="burlywood", weight=9]; 9.44/4.06 14 -> 6[label="",style="solid", color="burlywood", weight=3]; 9.44/4.06 15[label="vy31/Nil",fontsize=10,color="white",style="solid",shape="box"];4 -> 15[label="",style="solid", color="burlywood", weight=9]; 9.44/4.06 15 -> 7[label="",style="solid", color="burlywood", weight=3]; 9.44/4.06 5[label="last Nil",fontsize=16,color="black",shape="box"];5 -> 8[label="",style="solid", color="black", weight=3]; 9.44/4.06 6[label="last (Cons vy30 (Cons vy310 vy311))",fontsize=16,color="black",shape="box"];6 -> 9[label="",style="solid", color="black", weight=3]; 9.44/4.06 7[label="last (Cons vy30 Nil)",fontsize=16,color="black",shape="box"];7 -> 10[label="",style="solid", color="black", weight=3]; popout

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job log

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actions

all output return to Haskell 2019-04-01 06.52