Haskell 2019-04-01 06.52 pair #433316480

details
property	value
status	complete
benchmark	Prelude_showsPrec_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n170.star.cs.uiowa.edu
space	full_haskell
run statistics
property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.11723 seconds
cpu usage	10.1684
user time	9.84923
system time	0.319181
max virtual memory	1.828352E7
max residence set size	616848.0
stage attributes
key	value
starexec-result	YES
output
8.19/3.57	YES
9.99/4.07	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.99/4.07	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.99/4.07	
9.99/4.07	
9.99/4.07	H-Termination with start terms of the given HASKELL could be proven:
9.99/4.07	
9.99/4.07	(0) HASKELL
9.99/4.07	(1) BR [EQUIVALENT, 0 ms]
9.99/4.07	(2) HASKELL
9.99/4.07	(3) COR [EQUIVALENT, 0 ms]
9.99/4.07	(4) HASKELL
9.99/4.07	(5) NumRed [SOUND, 0 ms]
9.99/4.07	(6) HASKELL
9.99/4.07	(7) Narrow [EQUIVALENT, 12 ms]
9.99/4.07	(8) YES
9.99/4.07	
9.99/4.07	
9.99/4.07	----------------------------------------
9.99/4.07	
9.99/4.07	(0)
9.99/4.07	Obligation:
9.99/4.07	mainModule Main 
9.99/4.07	module Main where {
9.99/4.07	import qualified Prelude;
9.99/4.07	}
9.99/4.07	
9.99/4.07	----------------------------------------
9.99/4.07	
9.99/4.07	(1) BR (EQUIVALENT)
9.99/4.07	Replaced joker patterns by fresh variables and removed binding patterns.
9.99/4.07	----------------------------------------
9.99/4.07	
9.99/4.07	(2)
9.99/4.07	Obligation:
9.99/4.07	mainModule Main 
9.99/4.07	module Main where {
9.99/4.07	import qualified Prelude;
9.99/4.07	}
9.99/4.07	
9.99/4.07	----------------------------------------
9.99/4.07	
9.99/4.07	(3) COR (EQUIVALENT)
9.99/4.07	Cond Reductions:
9.99/4.07	The following Function with conditions
9.99/4.07	"undefined |Falseundefined;
9.99/4.07	"
9.99/4.07	is transformed to
9.99/4.07	"undefined  = undefined1;
9.99/4.07	"
9.99/4.07	"undefined0 True = undefined;
9.99/4.07	"
9.99/4.07	"undefined1  = undefined0 False;
9.99/4.07	"
9.99/4.07	
9.99/4.07	----------------------------------------
9.99/4.07	
9.99/4.07	(4)
9.99/4.07	Obligation:
9.99/4.07	mainModule Main 
9.99/4.07	module Main where {
9.99/4.07	import qualified Prelude;
9.99/4.07	}
9.99/4.07	
9.99/4.07	----------------------------------------
9.99/4.07	
9.99/4.07	(5) NumRed (SOUND)
9.99/4.07	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
9.99/4.07	----------------------------------------
9.99/4.07	
9.99/4.07	(6)
9.99/4.07	Obligation:
9.99/4.07	mainModule Main 
9.99/4.07	module Main where {
9.99/4.07	import qualified Prelude;
9.99/4.07	}
9.99/4.07	
9.99/4.07	----------------------------------------
9.99/4.07	
9.99/4.07	(7) Narrow (EQUIVALENT)
9.99/4.07	Haskell To QDPs
9.99/4.07	
9.99/4.07	digraph dp_graph {
9.99/4.07	node [outthreshold=100, inthreshold=100];1[label="showsPrec",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.99/4.07	3[label="showsPrec vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.99/4.07	4[label="showsPrec vx3 vx4",fontsize=16,color="grey",shape="box"];4 -> 5[label="",style="dashed", color="grey", weight=3];
9.99/4.07	5[label="showsPrec vx3 vx4 vx5",fontsize=16,color="burlywood",shape="triangle"];24[label="vx4/()",fontsize=10,color="white",style="solid",shape="box"];5 -> 24[label="",style="solid", color="burlywood", weight=9];
9.99/4.07	24 -> 6[label="",style="solid", color="burlywood", weight=3];
9.99/4.07	6[label="showsPrec vx3 () vx5",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
9.99/4.07	7 -> 11[label="",style="dashed", color="red", weight=0];
9.99/4.07	7[label="showString (Char (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))))))))))))))))))))))))))))))) : Char (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))))))))))))))))))))))))))))))))) : []) vx5",fontsize=16,color="magenta"];7 -> 12[label="",style="dashed", color="magenta", weight=3];
9.99/4.07	7 -> 13[label="",style="dashed", color="magenta", weight=3];
9.99/4.07	7 -> 14[label="",style="dashed", color="magenta", weight=3];
9.99/4.07	12[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))))))))))))))))))))))))))))))",fontsize=16,color="green",shape="box"];13[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))))))))))))))))))))))))))))))",fontsize=16,color="green",shape="box"];14[label="vx5",fontsize=16,color="green",shape="box"];11[label="showString (Char (Succ vx10) : Char (Succ vx11) : []) vx12",fontsize=16,color="black",shape="triangle"];11 -> 18[label="",style="solid", color="black", weight=3];
9.99/4.07	18[label="(++) (Char (Succ vx10) : Char (Succ vx11) : []) vx12",fontsize=16,color="black",shape="box"];18 -> 19[label="",style="solid", color="black", weight=3];
9.99/4.07	19[label="Char (Succ vx10) : (Char (Succ vx11) : []) ++ vx12",fontsize=16,color="green",shape="box"];19 -> 20[label="",style="dashed", color="green", weight=3];
9.99/4.07	20[label="(Char (Succ vx11) : []) ++ vx12",fontsize=16,color="black",shape="box"];20 -> 21[label="",style="solid", color="black", weight=3];
9.99/4.07	21[label="Char (Succ vx11) : [] ++ vx12",fontsize=16,color="green",shape="box"];21 -> 22[label="",style="dashed", color="green", weight=3];
9.99/4.07	22[label="[] ++ vx12",fontsize=16,color="black",shape="box"];22 -> 23[label="",style="solid", color="black", weight=3];
9.99/4.07	23[label="vx12",fontsize=16,color="green",shape="box"];}
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