Haskell 2019-04-01 06.52 pair #433316746

details

property	value
status	complete
benchmark	Prelude_notElem_10.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n073.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.47598 seconds
cpu usage	11.2017
user time	10.9012
system time	0.3005
max virtual memory	1.828352E7
max residence set size	659728.0

stage attributes

key	value
starexec-result	YES

output

9.18/3.96	YES
10.84/4.43	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
10.84/4.43	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.84/4.43	
10.84/4.43	
10.84/4.43	H-Termination with start terms of the given HASKELL could be proven:
10.84/4.43	
10.84/4.43	(0) HASKELL
10.84/4.43	(1) BR [EQUIVALENT, 0 ms]
10.84/4.43	(2) HASKELL
10.84/4.43	(3) COR [EQUIVALENT, 0 ms]
10.84/4.43	(4) HASKELL
10.84/4.43	(5) Narrow [SOUND, 0 ms]
10.84/4.43	(6) AND
10.84/4.43	    (7) QDP
10.84/4.43	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.84/4.43	        (9) YES
10.84/4.43	    (10) QDP
10.84/4.43	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.84/4.43	        (12) YES
10.84/4.43	    (13) QDP
10.84/4.43	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.84/4.43	        (15) YES
10.84/4.43	    (16) QDP
10.84/4.43	        (17) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.84/4.43	        (18) YES
10.84/4.43	    (19) QDP
10.84/4.43	        (20) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.84/4.43	        (21) YES
10.84/4.43	
10.84/4.43	
10.84/4.43	----------------------------------------
10.84/4.43	
10.84/4.43	(0)
10.84/4.43	Obligation:
10.84/4.43	mainModule Main 
10.84/4.43	module Main where {
10.84/4.43	import qualified Prelude;
10.84/4.43	}
10.84/4.43	
10.84/4.43	----------------------------------------
10.84/4.43	
10.84/4.43	(1) BR (EQUIVALENT)
10.84/4.43	Replaced joker patterns by fresh variables and removed binding patterns.
10.84/4.43	----------------------------------------
10.84/4.43	
10.84/4.43	(2)
10.84/4.43	Obligation:
10.84/4.43	mainModule Main 
10.84/4.43	module Main where {
10.84/4.43	import qualified Prelude;
10.84/4.43	}
10.84/4.43	
10.84/4.43	----------------------------------------
10.84/4.43	
10.84/4.43	(3) COR (EQUIVALENT)
10.84/4.43	Cond Reductions:
10.84/4.43	The following Function with conditions
10.84/4.43	"undefined |Falseundefined;
10.84/4.43	"
10.84/4.43	is transformed to
10.84/4.43	"undefined  = undefined1;
10.84/4.43	"
10.84/4.43	"undefined0 True = undefined;
10.84/4.43	"
10.84/4.43	"undefined1  = undefined0 False;
10.84/4.43	"
10.84/4.43	
10.84/4.43	----------------------------------------
10.84/4.43	
10.84/4.43	(4)
10.84/4.43	Obligation:
10.84/4.43	mainModule Main 
10.84/4.43	module Main where {
10.84/4.43	import qualified Prelude;
10.84/4.43	}
10.84/4.43	
10.84/4.43	----------------------------------------
10.84/4.43	
10.84/4.43	(5) Narrow (SOUND)
10.84/4.43	Haskell To QDPs
10.84/4.43	
10.84/4.43	digraph dp_graph {
10.84/4.43	node [outthreshold=100, inthreshold=100];1[label="notElem",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.84/4.43	3[label="notElem xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
10.84/4.43	4[label="notElem xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
10.84/4.43	5[label="all . (/=)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
10.84/4.43	6[label="all ((/=) xv3) xv4",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
10.84/4.43	7[label="and . map ((/=) xv3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
10.84/4.43	8[label="and (map ((/=) xv3) xv4)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
10.84/4.43	9[label="foldr (&&) True (map ((/=) xv3) xv4)",fontsize=16,color="burlywood",shape="triangle"];858[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];9 -> 858[label="",style="solid", color="burlywood", weight=9];
10.84/4.43	858 -> 10[label="",style="solid", color="burlywood", weight=3];
10.84/4.43	859[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 859[label="",style="solid", color="burlywood", weight=9];
10.84/4.43	859 -> 11[label="",style="solid", color="burlywood", weight=3];
10.84/4.43	10[label="foldr (&&) True (map ((/=) xv3) (xv40 : xv41))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3];
10.84/4.43	11[label="foldr (&&) True (map ((/=) xv3) [])",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3];
10.84/4.43	12[label="foldr (&&) True (((/=) xv3 xv40) : map ((/=) xv3) xv41)",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3];
10.84/4.43	13[label="foldr (&&) True []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3];
10.84/4.43	14 -> 221[label="",style="dashed", color="red", weight=0];
10.84/4.43	14[label="(&&) (/=) xv3 xv40 foldr (&&) True (map ((/=) xv3) xv41)",fontsize=16,color="magenta"];14 -> 222[label="",style="dashed", color="magenta", weight=3];

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actions all output return to Haskell 2019-04-01 06.52