Haskell 2019-04-01 06.52 pair #433317054

details
property	value
status	complete
benchmark	Prelude_EQEQ_9.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	full_haskell
run statistics
property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.09391 seconds
cpu usage	9.922
user time	9.62157
system time	0.300435
max virtual memory	1.828352E7
max residence set size	546672.0
stage attributes
key	value
starexec-result	YES
output
8.20/3.62	YES
9.67/4.05	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.67/4.05	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.67/4.05	
9.67/4.05	
9.67/4.05	H-Termination with start terms of the given HASKELL could be proven:
9.67/4.05	
9.67/4.05	(0) HASKELL
9.67/4.05	(1) BR [EQUIVALENT, 0 ms]
9.67/4.05	(2) HASKELL
9.67/4.05	(3) COR [EQUIVALENT, 0 ms]
9.67/4.05	(4) HASKELL
9.67/4.05	(5) Narrow [SOUND, 0 ms]
9.67/4.05	(6) AND
9.67/4.05	    (7) QDP
9.67/4.05	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.67/4.05	        (9) YES
9.67/4.05	    (10) QDP
9.67/4.05	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.67/4.05	        (12) YES
9.67/4.05	
9.67/4.05	
9.67/4.05	----------------------------------------
9.67/4.05	
9.67/4.05	(0)
9.67/4.05	Obligation:
9.67/4.05	mainModule Main 
9.67/4.05	module Main where {
9.67/4.05	import qualified Prelude;
9.67/4.05	}
9.67/4.05	
9.67/4.05	----------------------------------------
9.67/4.05	
9.67/4.05	(1) BR (EQUIVALENT)
9.67/4.05	Replaced joker patterns by fresh variables and removed binding patterns.
9.67/4.05	----------------------------------------
9.67/4.05	
9.67/4.05	(2)
9.67/4.05	Obligation:
9.67/4.05	mainModule Main 
9.67/4.05	module Main where {
9.67/4.05	import qualified Prelude;
9.67/4.05	}
9.67/4.05	
9.67/4.05	----------------------------------------
9.67/4.05	
9.67/4.05	(3) COR (EQUIVALENT)
9.67/4.05	Cond Reductions:
9.67/4.05	The following Function with conditions
9.67/4.05	"undefined |Falseundefined;
9.67/4.06	"
9.67/4.06	is transformed to
9.67/4.06	"undefined  = undefined1;
9.67/4.06	"
9.67/4.06	"undefined0 True = undefined;
9.67/4.06	"
9.67/4.06	"undefined1  = undefined0 False;
9.67/4.06	"
9.67/4.06	
9.67/4.06	----------------------------------------
9.67/4.06	
9.67/4.06	(4)
9.67/4.06	Obligation:
9.67/4.06	mainModule Main 
9.67/4.06	module Main where {
9.67/4.06	import qualified Prelude;
9.67/4.06	}
9.67/4.06	
9.67/4.06	----------------------------------------
9.67/4.06	
9.67/4.06	(5) Narrow (SOUND)
9.67/4.06	Haskell To QDPs
9.67/4.06	
9.67/4.06	digraph dp_graph {
9.67/4.06	node [outthreshold=100, inthreshold=100];1[label="(==)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.67/4.06	3[label="(==) vz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.67/4.06	4[label="(==) vz3 vz4",fontsize=16,color="burlywood",shape="triangle"];120[label="vz3/vz30 :% vz31",fontsize=10,color="white",style="solid",shape="box"];4 -> 120[label="",style="solid", color="burlywood", weight=9];
9.67/4.06	120 -> 5[label="",style="solid", color="burlywood", weight=3];
9.67/4.06	5[label="(==) vz30 :% vz31 vz4",fontsize=16,color="burlywood",shape="box"];121[label="vz4/vz40 :% vz41",fontsize=10,color="white",style="solid",shape="box"];5 -> 121[label="",style="solid", color="burlywood", weight=9];
9.67/4.06	121 -> 6[label="",style="solid", color="burlywood", weight=3];
9.67/4.06	6[label="(==) vz30 :% vz31 vz40 :% vz41",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
9.67/4.06	7[label="vz30 == vz40 && vz31 == vz41",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
9.67/4.06	8[label="primEqInt vz30 vz40 && vz31 == vz41",fontsize=16,color="burlywood",shape="box"];122[label="vz30/Pos vz300",fontsize=10,color="white",style="solid",shape="box"];8 -> 122[label="",style="solid", color="burlywood", weight=9];
9.67/4.06	122 -> 9[label="",style="solid", color="burlywood", weight=3];
9.67/4.06	123[label="vz30/Neg vz300",fontsize=10,color="white",style="solid",shape="box"];8 -> 123[label="",style="solid", color="burlywood", weight=9];
9.67/4.06	123 -> 10[label="",style="solid", color="burlywood", weight=3];
9.67/4.06	9[label="primEqInt (Pos vz300) vz40 && vz31 == vz41",fontsize=16,color="burlywood",shape="box"];124[label="vz300/Succ vz3000",fontsize=10,color="white",style="solid",shape="box"];9 -> 124[label="",style="solid", color="burlywood", weight=9];
9.67/4.06	124 -> 11[label="",style="solid", color="burlywood", weight=3];
9.67/4.06	125[label="vz300/Zero",fontsize=10,color="white",style="solid",shape="box"];9 -> 125[label="",style="solid", color="burlywood", weight=9];
9.67/4.06	125 -> 12[label="",style="solid", color="burlywood", weight=3];
9.67/4.06	10[label="primEqInt (Neg vz300) vz40 && vz31 == vz41",fontsize=16,color="burlywood",shape="box"];126[label="vz300/Succ vz3000",fontsize=10,color="white",style="solid",shape="box"];10 -> 126[label="",style="solid", color="burlywood", weight=9];
9.67/4.06	126 -> 13[label="",style="solid", color="burlywood", weight=3];
9.67/4.06	127[label="vz300/Zero",fontsize=10,color="white",style="solid",shape="box"];10 -> 127[label="",style="solid", color="burlywood", weight=9];
9.67/4.06	127 -> 14[label="",style="solid", color="burlywood", weight=3];
9.67/4.06	11[label="primEqInt (Pos (Succ vz3000)) vz40 && vz31 == vz41",fontsize=16,color="burlywood",shape="box"];128[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];11 -> 128[label="",style="solid", color="burlywood", weight=9];
9.67/4.06	128 -> 15[label="",style="solid", color="burlywood", weight=3];
9.67/4.06	129[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];11 -> 129[label="",style="solid", color="burlywood", weight=9];
9.67/4.06	129 -> 16[label="",style="solid", color="burlywood", weight=3];
9.67/4.06	12[label="primEqInt (Pos Zero) vz40 && vz31 == vz41",fontsize=16,color="burlywood",shape="box"];130[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];12 -> 130[label="",style="solid", color="burlywood", weight=9];
9.67/4.06	130 -> 17[label="",style="solid", color="burlywood", weight=3];
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