TSTP Solution File: PUZ015-3 by Paradox---4.0
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%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : PUZ015-3 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:23:21 EDT 2022
% Result : Satisfiable 0.60s 0.79s
% Output : FiniteModel 0.60s
% Verified :
% SZS Type : FiniteModel
% Domain size : 3
% Comments :
%------------------------------------------------------------------------------
% domain size is 3
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3" ) ).
fof(d,fi_functors,
d = "1" ).
fof(horizontal,fi_predicates,
( ( horizontal("1","1")
<=> $true )
& ( horizontal("1","2")
<=> $false )
& ( horizontal("1","3")
<=> $false )
& ( horizontal("2","1")
<=> $false )
& ( horizontal("2","2")
<=> $true )
& ( horizontal("2","3")
<=> $false )
& ( horizontal("3","1")
<=> $false )
& ( horizontal("3","2")
<=> $false )
& ( horizontal("3","3")
<=> $true ) ) ).
fof(o,fi_functors,
o = "2" ).
fof(row,fi_functors,
( row("1","1","1","1","1","1","1","1") = "1"
& row("1","1","1","1","1","1","1","2") = "2"
& row("1","1","1","1","1","1","2","1") = "3"
& row("1","1","1","1","1","1","2","2") = "1"
& row("1","1","1","1","1","2","1","1") = "2"
& row("1","1","1","1","1","2","1","2") = "3"
& row("1","1","1","1","1","2","2","1") = "1"
& row("1","1","1","1","1","2","2","2") = "2"
& row("1","1","1","1","2","1","1","1") = "3"
& row("1","1","1","1","2","1","1","2") = "1"
& row("1","1","1","1","2","1","2","1") = "2"
& row("1","1","1","1","2","1","2","2") = "3"
& row("1","1","1","1","2","2","1","1") = "1"
& row("1","1","1","1","2","2","1","2") = "2"
& row("1","1","1","1","2","2","2","1") = "3"
& row("1","1","1","1","2","2","2","2") = "1"
& row("1","1","1","2","1","1","1","1") = "2"
& row("1","1","1","2","1","1","1","2") = "3"
& row("1","1","1","2","1","1","2","1") = "1"
& row("1","1","1","2","1","1","2","2") = "2"
& row("1","1","1","2","1","2","1","1") = "3"
& row("1","1","1","2","1","2","1","2") = "1"
& row("1","1","1","2","1","2","2","1") = "2"
& row("1","1","1","2","1","2","2","2") = "3"
& row("1","1","1","2","2","1","1","1") = "1"
& row("1","1","1","2","2","1","1","2") = "2"
& row("1","1","1","2","2","1","2","1") = "3"
& row("1","1","1","2","2","1","2","2") = "1"
& row("1","1","1","2","2","2","1","1") = "2"
& row("1","1","1","2","2","2","1","2") = "3"
& row("1","1","1","2","2","2","2","1") = "1"
& row("1","1","1","2","2","2","2","2") = "2"
& row("1","1","2","1","1","1","1","1") = "3"
& row("1","1","2","1","1","1","1","2") = "1"
& row("1","1","2","1","1","1","2","1") = "2"
& row("1","1","2","1","1","1","2","2") = "3"
& row("1","1","2","1","1","2","1","1") = "1"
& row("1","1","2","1","1","2","1","2") = "2"
& row("1","1","2","1","1","2","2","1") = "3"
& row("1","1","2","1","1","2","2","2") = "1"
& row("1","1","2","1","2","1","1","1") = "2"
& row("1","1","2","1","2","1","1","2") = "3"
& row("1","1","2","1","2","1","2","1") = "1"
& row("1","1","2","1","2","1","2","2") = "2"
& row("1","1","2","1","2","2","1","1") = "3"
& row("1","1","2","1","2","2","1","2") = "1"
& row("1","1","2","1","2","2","2","1") = "2"
& row("1","1","2","1","2","2","2","2") = "3"
& row("1","1","2","2","1","1","1","1") = "1"
& row("1","1","2","2","1","1","1","2") = "2"
& row("1","1","2","2","1","1","2","1") = "3"
& row("1","1","2","2","1","1","2","2") = "1"
& row("1","1","2","2","1","2","1","1") = "2"
& row("1","1","2","2","1","2","1","2") = "3"
& row("1","1","2","2","1","2","2","1") = "1"
& row("1","1","2","2","1","2","2","2") = "2"
& row("1","1","2","2","2","1","1","1") = "3"
& row("1","1","2","2","2","1","1","2") = "1"
& row("1","1","2","2","2","1","2","1") = "2"
& row("1","1","2","2","2","1","2","2") = "3"
& row("1","1","2","2","2","2","1","1") = "1"
& row("1","1","2","2","2","2","1","2") = "2"
& row("1","1","2","2","2","2","2","1") = "3"
& row("1","1","2","2","2","2","2","2") = "1"
& row("1","2","1","1","1","1","1","1") = "2"
& row("1","2","1","1","1","1","1","2") = "3"
& row("1","2","1","1","1","1","2","1") = "1"
& row("1","2","1","1","1","1","2","2") = "2"
& row("1","2","1","1","1","2","1","1") = "3"
& row("1","2","1","1","1","2","1","2") = "1"
& row("1","2","1","1","1","2","2","1") = "2"
& row("1","2","1","1","1","2","2","2") = "3"
& row("1","2","1","1","2","1","1","1") = "1"
& row("1","2","1","1","2","1","1","2") = "2"
& row("1","2","1","1","2","1","2","1") = "3"
& row("1","2","1","1","2","1","2","2") = "1"
& row("1","2","1","1","2","2","1","1") = "2"
& row("1","2","1","1","2","2","1","2") = "3"
& row("1","2","1","1","2","2","2","1") = "1"
& row("1","2","1","1","2","2","2","2") = "2"
& row("1","2","1","2","1","1","1","1") = "3"
& row("1","2","1","2","1","1","1","2") = "1"
& row("1","2","1","2","1","1","2","1") = "2"
& row("1","2","1","2","1","1","2","2") = "3"
& row("1","2","1","2","1","2","1","1") = "1"
& row("1","2","1","2","1","2","1","2") = "2"
& row("1","2","1","2","1","2","2","1") = "3"
& row("1","2","1","2","1","2","2","2") = "1"
& row("1","2","1","2","2","1","1","1") = "2"
& row("1","2","1","2","2","1","1","2") = "3"
& row("1","2","1","2","2","1","2","1") = "1"
& row("1","2","1","2","2","1","2","2") = "2"
& row("1","2","1","2","2","2","1","1") = "3"
& row("1","2","1","2","2","2","1","2") = "1"
& row("1","2","1","2","2","2","2","1") = "2"
& row("1","2","1","2","2","2","2","2") = "3"
& row("1","2","2","1","1","1","1","1") = "1"
& row("1","2","2","1","1","1","1","2") = "2"
& row("1","2","2","1","1","1","2","1") = "3"
& row("1","2","2","1","1","1","2","2") = "1"
& row("1","2","2","1","1","2","1","1") = "2"
& row("1","2","2","1","1","2","1","2") = "3"
& row("1","2","2","1","1","2","2","1") = "1"
& row("1","2","2","1","1","2","2","2") = "2"
& row("1","2","2","1","2","1","1","1") = "3"
& row("1","2","2","1","2","1","1","2") = "1"
& row("1","2","2","1","2","1","2","1") = "2"
& row("1","2","2","1","2","1","2","2") = "3"
& row("1","2","2","1","2","2","1","1") = "1"
& row("1","2","2","1","2","2","1","2") = "2"
& row("1","2","2","1","2","2","2","1") = "3"
& row("1","2","2","1","2","2","2","2") = "1"
& row("1","2","2","2","1","1","1","1") = "2"
& row("1","2","2","2","1","1","1","2") = "3"
& row("1","2","2","2","1","1","2","1") = "1"
& row("1","2","2","2","1","1","2","2") = "2"
& row("1","2","2","2","1","2","1","1") = "3"
& row("1","2","2","2","1","2","1","2") = "1"
& row("1","2","2","2","1","2","2","1") = "2"
& row("1","2","2","2","1","2","2","2") = "3"
& row("1","2","2","2","2","1","1","1") = "1"
& row("1","2","2","2","2","1","1","2") = "2"
& row("1","2","2","2","2","1","2","1") = "3"
& row("1","2","2","2","2","1","2","2") = "1"
& row("1","2","2","2","2","2","1","1") = "2"
& row("1","2","2","2","2","2","1","2") = "3"
& row("1","2","2","2","2","2","2","1") = "1"
& row("1","2","2","2","2","2","2","2") = "2"
& row("2","1","1","1","1","1","1","1") = "3"
& row("2","1","1","1","1","1","1","2") = "1"
& row("2","1","1","1","1","1","2","1") = "2"
& row("2","1","1","1","1","1","2","2") = "3"
& row("2","1","1","1","1","2","1","1") = "1"
& row("2","1","1","1","1","2","1","2") = "2"
& row("2","1","1","1","1","2","2","1") = "3"
& row("2","1","1","1","1","2","2","2") = "1"
& row("2","1","1","1","2","1","1","1") = "2"
& row("2","1","1","1","2","1","1","2") = "3"
& row("2","1","1","1","2","1","2","1") = "1"
& row("2","1","1","1","2","1","2","2") = "2"
& row("2","1","1","1","2","2","1","1") = "3"
& row("2","1","1","1","2","2","1","2") = "1"
& row("2","1","1","1","2","2","2","1") = "2"
& row("2","1","1","1","2","2","2","2") = "3"
& row("2","1","1","2","1","1","1","1") = "1"
& row("2","1","1","2","1","1","1","2") = "2"
& row("2","1","1","2","1","1","2","1") = "3"
& row("2","1","1","2","1","1","2","2") = "1"
& row("2","1","1","2","1","2","1","1") = "2"
& row("2","1","1","2","1","2","1","2") = "3"
& row("2","1","1","2","1","2","2","1") = "1"
& row("2","1","1","2","1","2","2","2") = "2"
& row("2","1","1","2","2","1","1","1") = "3"
& row("2","1","1","2","2","1","1","2") = "1"
& row("2","1","1","2","2","1","2","1") = "2"
& row("2","1","1","2","2","1","2","2") = "3"
& row("2","1","1","2","2","2","1","1") = "1"
& row("2","1","1","2","2","2","1","2") = "2"
& row("2","1","1","2","2","2","2","1") = "3"
& row("2","1","1","2","2","2","2","2") = "1"
& row("2","1","2","1","1","1","1","1") = "2"
& row("2","1","2","1","1","1","1","2") = "3"
& row("2","1","2","1","1","1","2","1") = "1"
& row("2","1","2","1","1","1","2","2") = "2"
& row("2","1","2","1","1","2","1","1") = "3"
& row("2","1","2","1","1","2","1","2") = "1"
& row("2","1","2","1","1","2","2","1") = "2"
& row("2","1","2","1","1","2","2","2") = "3"
& row("2","1","2","1","2","1","1","1") = "1"
& row("2","1","2","1","2","1","1","2") = "2"
& row("2","1","2","1","2","1","2","1") = "3"
& row("2","1","2","1","2","1","2","2") = "1"
& row("2","1","2","1","2","2","1","1") = "2"
& row("2","1","2","1","2","2","1","2") = "3"
& row("2","1","2","1","2","2","2","1") = "1"
& row("2","1","2","1","2","2","2","2") = "2"
& row("2","1","2","2","1","1","1","1") = "3"
& row("2","1","2","2","1","1","1","2") = "1"
& row("2","1","2","2","1","1","2","1") = "2"
& row("2","1","2","2","1","1","2","2") = "3"
& row("2","1","2","2","1","2","1","1") = "1"
& row("2","1","2","2","1","2","1","2") = "2"
& row("2","1","2","2","1","2","2","1") = "3"
& row("2","1","2","2","1","2","2","2") = "1"
& row("2","1","2","2","2","1","1","1") = "2"
& row("2","1","2","2","2","1","1","2") = "3"
& row("2","1","2","2","2","1","2","1") = "1"
& row("2","1","2","2","2","1","2","2") = "2"
& row("2","1","2","2","2","2","1","1") = "3"
& row("2","1","2","2","2","2","1","2") = "1"
& row("2","1","2","2","2","2","2","1") = "2"
& row("2","1","2","2","2","2","2","2") = "3"
& row("2","2","1","1","1","1","1","1") = "1"
& row("2","2","1","1","1","1","1","2") = "2"
& row("2","2","1","1","1","1","2","1") = "3"
& row("2","2","1","1","1","1","2","2") = "1"
& row("2","2","1","1","1","2","1","1") = "2"
& row("2","2","1","1","1","2","1","2") = "3"
& row("2","2","1","1","1","2","2","1") = "1"
& row("2","2","1","1","1","2","2","2") = "2"
& row("2","2","1","1","2","1","1","1") = "3"
& row("2","2","1","1","2","1","1","2") = "1"
& row("2","2","1","1","2","1","2","1") = "2"
& row("2","2","1","1","2","1","2","2") = "3"
& row("2","2","1","1","2","2","1","1") = "1"
& row("2","2","1","1","2","2","1","2") = "2"
& row("2","2","1","1","2","2","2","1") = "3"
& row("2","2","1","1","2","2","2","2") = "1"
& row("2","2","1","2","1","1","1","1") = "2"
& row("2","2","1","2","1","1","1","2") = "3"
& row("2","2","1","2","1","1","2","1") = "1"
& row("2","2","1","2","1","1","2","2") = "2"
& row("2","2","1","2","1","2","1","1") = "3"
& row("2","2","1","2","1","2","1","2") = "1"
& row("2","2","1","2","1","2","2","1") = "2"
& row("2","2","1","2","1","2","2","2") = "3"
& row("2","2","1","2","2","1","1","1") = "1"
& row("2","2","1","2","2","1","1","2") = "2"
& row("2","2","1","2","2","1","2","1") = "3"
& row("2","2","1","2","2","1","2","2") = "1"
& row("2","2","1","2","2","2","1","1") = "2"
& row("2","2","1","2","2","2","1","2") = "3"
& row("2","2","1","2","2","2","2","1") = "1"
& row("2","2","1","2","2","2","2","2") = "2"
& row("2","2","2","1","1","1","1","1") = "3"
& row("2","2","2","1","1","1","1","2") = "1"
& row("2","2","2","1","1","1","2","1") = "2"
& row("2","2","2","1","1","1","2","2") = "3"
& row("2","2","2","1","1","2","1","1") = "1"
& row("2","2","2","1","1","2","1","2") = "2"
& row("2","2","2","1","1","2","2","1") = "3"
& row("2","2","2","1","1","2","2","2") = "1"
& row("2","2","2","1","2","1","1","1") = "2"
& row("2","2","2","1","2","1","1","2") = "3"
& row("2","2","2","1","2","1","2","1") = "1"
& row("2","2","2","1","2","1","2","2") = "2"
& row("2","2","2","1","2","2","1","1") = "3"
& row("2","2","2","1","2","2","1","2") = "1"
& row("2","2","2","1","2","2","2","1") = "2"
& row("2","2","2","1","2","2","2","2") = "3"
& row("2","2","2","2","1","1","1","1") = "1"
& row("2","2","2","2","1","1","1","2") = "2"
& row("2","2","2","2","1","1","2","1") = "3"
& row("2","2","2","2","1","1","2","2") = "1"
& row("2","2","2","2","1","2","1","1") = "2"
& row("2","2","2","2","1","2","1","2") = "3"
& row("2","2","2","2","1","2","2","1") = "1"
& row("2","2","2","2","1","2","2","2") = "2"
& row("2","2","2","2","2","1","1","1") = "3"
& row("2","2","2","2","2","1","1","2") = "1"
& row("2","2","2","2","2","1","2","1") = "2"
& row("2","2","2","2","2","1","2","2") = "3"
& row("2","2","2","2","2","2","1","1") = "1"
& row("2","2","2","2","2","2","1","2") = "2"
& row("2","2","2","2","2","2","2","1") = "3"
& row("2","2","2","2","2","2","2","2") = "1"
& ! [X2,X3,X4,X5,X6,X7,X8] : row("3",X2,X3,X4,X5,X6,X7,X8) = row("2",X2,X3,X4,X5,X6,X7,X8)
& ! [X1,X3,X4,X5,X6,X7,X8] : row(X1,"3",X3,X4,X5,X6,X7,X8) = row(X1,"2",X3,X4,X5,X6,X7,X8)
& ! [X1,X2,X4,X5,X6,X7,X8] : row(X1,X2,"3",X4,X5,X6,X7,X8) = row(X1,X2,"2",X4,X5,X6,X7,X8)
& ! [X1,X2,X3,X5,X6,X7,X8] : row(X1,X2,X3,"3",X5,X6,X7,X8) = row(X1,X2,X3,"2",X5,X6,X7,X8)
& ! [X1,X2,X3,X4,X6,X7,X8] : row(X1,X2,X3,X4,"3",X6,X7,X8) = row(X1,X2,X3,X4,"2",X6,X7,X8)
& ! [X1,X2,X3,X4,X5,X7,X8] : row(X1,X2,X3,X4,X5,"3",X7,X8) = row(X1,X2,X3,X4,X5,"2",X7,X8)
& ! [X1,X2,X3,X4,X5,X6,X8] : row(X1,X2,X3,X4,X5,X6,"3",X8) = row(X1,X2,X3,X4,X5,X6,"2",X8)
& ! [X1,X2,X3,X4,X5,X6,X7] : row(X1,X2,X3,X4,X5,X6,X7,"3") = row(X1,X2,X3,X4,X5,X6,X7,"2") ) ).
fof(state,fi_predicates,
( ( state("1","1","1","1","1","1","1","1")
<=> $false )
& ( state("1","1","1","1","1","1","1","2")
<=> $true )
& ( state("1","1","1","1","1","1","1","3")
<=> $true )
& ( state("1","1","1","1","1","1","2","1")
<=> $true )
& ( state("1","1","1","1","1","1","2","2")
<=> $false )
& ( state("1","1","1","1","1","1","2","3")
<=> $true )
& ( state("1","1","1","1","1","1","3","1")
<=> $true )
& ( state("1","1","1","1","1","1","3","2")
<=> $true )
& ( state("1","1","1","1","1","1","3","3")
<=> $false )
& ( state("1","1","1","1","1","2","1","1")
<=> $true )
& ( state("1","1","1","1","1","2","1","2")
<=> $true )
& ( state("1","1","1","1","1","2","1","3")
<=> $false )
& ( state("1","1","1","1","1","2","2","1")
<=> $false )
& ( state("1","1","1","1","1","2","2","2")
<=> $true )
& ( state("1","1","1","1","1","2","2","3")
<=> $true )
& ( state("1","1","1","1","1","2","3","1")
<=> $true )
& ( state("1","1","1","1","1","2","3","2")
<=> $false )
& ( state("1","1","1","1","1","2","3","3")
<=> $true )
& ( state("1","1","1","1","1","3","1","1")
<=> $true )
& ( state("1","1","1","1","1","3","1","2")
<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
& ( state("1","1","1","3","1","2","3","3")
<=> $false )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $false )
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<=> $true )
& ( state("1","1","1","3","1","3","2","3")
<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
& ( state("1","1","1","3","2","1","3","3")
<=> $true )
& ( state("1","1","1","3","2","2","1","1")
<=> $true )
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<=> $false )
& ( state("1","1","1","3","2","2","1","3")
<=> $true )
& ( state("1","1","1","3","2","2","2","1")
<=> $true )
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<=> $true )
& ( state("1","1","1","3","2","2","2","3")
<=> $false )
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<=> $false )
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<=> $true )
& ( state("1","1","1","3","2","2","3","3")
<=> $true )
& ( state("1","1","1","3","2","3","1","1")
<=> $false )
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<=> $true )
& ( state("1","1","1","3","2","3","1","3")
<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
& ( state("1","1","1","3","2","3","3","3")
<=> $false )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
& ( state("1","1","2","1","2","2","1","3")
<=> $true )
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<=> $true )
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<=> $true )
& ( state("1","1","2","1","2","2","2","3")
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
& ( state("1","1","2","1","2","3","2","1")
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<=> $false )
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<=> $true )
& ( state("1","1","2","1","2","3","3","1")
<=> $true )
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<=> $true )
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<=> $true )
& ( state("1","1","2","1","3","1","1","3")
<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $true )
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<=> $false )
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<=> $true )
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<=> $true )
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<=> $true )
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& ( state("3","3","3","3","1","1","1","3")
<=> $true )
& ( state("3","3","3","3","1","1","2","1")
<=> $true )
& ( state("3","3","3","3","1","1","2","2")
<=> $false )
& ( state("3","3","3","3","1","1","2","3")
<=> $true )
& ( state("3","3","3","3","1","1","3","1")
<=> $true )
& ( state("3","3","3","3","1","1","3","2")
<=> $true )
& ( state("3","3","3","3","1","1","3","3")
<=> $false )
& ( state("3","3","3","3","1","2","1","1")
<=> $true )
& ( state("3","3","3","3","1","2","1","2")
<=> $true )
& ( state("3","3","3","3","1","2","1","3")
<=> $false )
& ( state("3","3","3","3","1","2","2","1")
<=> $false )
& ( state("3","3","3","3","1","2","2","2")
<=> $true )
& ( state("3","3","3","3","1","2","2","3")
<=> $true )
& ( state("3","3","3","3","1","2","3","1")
<=> $true )
& ( state("3","3","3","3","1","2","3","2")
<=> $false )
& ( state("3","3","3","3","1","2","3","3")
<=> $true )
& ( state("3","3","3","3","1","3","1","1")
<=> $true )
& ( state("3","3","3","3","1","3","1","2")
<=> $false )
& ( state("3","3","3","3","1","3","1","3")
<=> $true )
& ( state("3","3","3","3","1","3","2","1")
<=> $true )
& ( state("3","3","3","3","1","3","2","2")
<=> $true )
& ( state("3","3","3","3","1","3","2","3")
<=> $false )
& ( state("3","3","3","3","1","3","3","1")
<=> $false )
& ( state("3","3","3","3","1","3","3","2")
<=> $true )
& ( state("3","3","3","3","1","3","3","3")
<=> $true )
& ( state("3","3","3","3","2","1","1","1")
<=> $true )
& ( state("3","3","3","3","2","1","1","2")
<=> $false )
& ( state("3","3","3","3","2","1","1","3")
<=> $true )
& ( state("3","3","3","3","2","1","2","1")
<=> $true )
& ( state("3","3","3","3","2","1","2","2")
<=> $true )
& ( state("3","3","3","3","2","1","2","3")
<=> $false )
& ( state("3","3","3","3","2","1","3","1")
<=> $false )
& ( state("3","3","3","3","2","1","3","2")
<=> $true )
& ( state("3","3","3","3","2","1","3","3")
<=> $true )
& ( state("3","3","3","3","2","2","1","1")
<=> $false )
& ( state("3","3","3","3","2","2","1","2")
<=> $true )
& ( state("3","3","3","3","2","2","1","3")
<=> $true )
& ( state("3","3","3","3","2","2","2","1")
<=> $true )
& ( state("3","3","3","3","2","2","2","2")
<=> $false )
& ( state("3","3","3","3","2","2","2","3")
<=> $true )
& ( state("3","3","3","3","2","2","3","1")
<=> $true )
& ( state("3","3","3","3","2","2","3","2")
<=> $true )
& ( state("3","3","3","3","2","2","3","3")
<=> $false )
& ( state("3","3","3","3","2","3","1","1")
<=> $true )
& ( state("3","3","3","3","2","3","1","2")
<=> $true )
& ( state("3","3","3","3","2","3","1","3")
<=> $false )
& ( state("3","3","3","3","2","3","2","1")
<=> $false )
& ( state("3","3","3","3","2","3","2","2")
<=> $true )
& ( state("3","3","3","3","2","3","2","3")
<=> $true )
& ( state("3","3","3","3","2","3","3","1")
<=> $true )
& ( state("3","3","3","3","2","3","3","2")
<=> $false )
& ( state("3","3","3","3","2","3","3","3")
<=> $true )
& ( state("3","3","3","3","3","1","1","1")
<=> $true )
& ( state("3","3","3","3","3","1","1","2")
<=> $true )
& ( state("3","3","3","3","3","1","1","3")
<=> $false )
& ( state("3","3","3","3","3","1","2","1")
<=> $false )
& ( state("3","3","3","3","3","1","2","2")
<=> $true )
& ( state("3","3","3","3","3","1","2","3")
<=> $true )
& ( state("3","3","3","3","3","1","3","1")
<=> $true )
& ( state("3","3","3","3","3","1","3","2")
<=> $false )
& ( state("3","3","3","3","3","1","3","3")
<=> $true )
& ( state("3","3","3","3","3","2","1","1")
<=> $true )
& ( state("3","3","3","3","3","2","1","2")
<=> $false )
& ( state("3","3","3","3","3","2","1","3")
<=> $true )
& ( state("3","3","3","3","3","2","2","1")
<=> $true )
& ( state("3","3","3","3","3","2","2","2")
<=> $true )
& ( state("3","3","3","3","3","2","2","3")
<=> $false )
& ( state("3","3","3","3","3","2","3","1")
<=> $false )
& ( state("3","3","3","3","3","2","3","2")
<=> $true )
& ( state("3","3","3","3","3","2","3","3")
<=> $true )
& ( state("3","3","3","3","3","3","1","1")
<=> $false )
& ( state("3","3","3","3","3","3","1","2")
<=> $true )
& ( state("3","3","3","3","3","3","1","3")
<=> $true )
& ( state("3","3","3","3","3","3","2","1")
<=> $true )
& ( state("3","3","3","3","3","3","2","2")
<=> $false )
& ( state("3","3","3","3","3","3","2","3")
<=> $true )
& ( state("3","3","3","3","3","3","3","1")
<=> $true )
& ( state("3","3","3","3","3","3","3","2")
<=> $true )
& ( state("3","3","3","3","3","3","3","3")
<=> $false ) ) ).
fof(vertical,fi_predicates,
( ( vertical("1","1","1","1")
<=> $true )
& ( vertical("1","1","1","2")
<=> $false )
& ( vertical("1","1","1","3")
<=> $false )
& ( vertical("1","1","2","1")
<=> $false )
& ( vertical("1","1","2","2")
<=> $true )
& ( vertical("1","1","2","3")
<=> $false )
& ( vertical("1","1","3","1")
<=> $false )
& ( vertical("1","1","3","2")
<=> $false )
& ( vertical("1","1","3","3")
<=> $true )
& ( vertical("1","2","1","1")
<=> $false )
& ( vertical("1","2","1","2")
<=> $true )
& ( vertical("1","2","1","3")
<=> $false )
& ( vertical("1","2","2","1")
<=> $false )
& ( vertical("1","2","2","2")
<=> $false )
& ( vertical("1","2","2","3")
<=> $true )
& ( vertical("1","2","3","1")
<=> $true )
& ( vertical("1","2","3","2")
<=> $false )
& ( vertical("1","2","3","3")
<=> $false )
& ( vertical("1","3","1","1")
<=> $false )
& ( vertical("1","3","1","2")
<=> $false )
& ( vertical("1","3","1","3")
<=> $true )
& ( vertical("1","3","2","1")
<=> $true )
& ( vertical("1","3","2","2")
<=> $false )
& ( vertical("1","3","2","3")
<=> $false )
& ( vertical("1","3","3","1")
<=> $false )
& ( vertical("1","3","3","2")
<=> $true )
& ( vertical("1","3","3","3")
<=> $false )
& ( vertical("2","1","1","1")
<=> $false )
& ( vertical("2","1","1","2")
<=> $false )
& ( vertical("2","1","1","3")
<=> $true )
& ( vertical("2","1","2","1")
<=> $true )
& ( vertical("2","1","2","2")
<=> $false )
& ( vertical("2","1","2","3")
<=> $false )
& ( vertical("2","1","3","1")
<=> $false )
& ( vertical("2","1","3","2")
<=> $true )
& ( vertical("2","1","3","3")
<=> $false )
& ( vertical("2","2","1","1")
<=> $true )
& ( vertical("2","2","1","2")
<=> $false )
& ( vertical("2","2","1","3")
<=> $false )
& ( vertical("2","2","2","1")
<=> $false )
& ( vertical("2","2","2","2")
<=> $true )
& ( vertical("2","2","2","3")
<=> $false )
& ( vertical("2","2","3","1")
<=> $false )
& ( vertical("2","2","3","2")
<=> $false )
& ( vertical("2","2","3","3")
<=> $true )
& ( vertical("2","3","1","1")
<=> $false )
& ( vertical("2","3","1","2")
<=> $true )
& ( vertical("2","3","1","3")
<=> $false )
& ( vertical("2","3","2","1")
<=> $false )
& ( vertical("2","3","2","2")
<=> $false )
& ( vertical("2","3","2","3")
<=> $false )
& ( vertical("2","3","3","1")
<=> $true )
& ( vertical("2","3","3","2")
<=> $false )
& ( vertical("2","3","3","3")
<=> $false )
& ( vertical("3","1","1","1")
<=> $false )
& ( vertical("3","1","1","2")
<=> $true )
& ( vertical("3","1","1","3")
<=> $false )
& ( vertical("3","1","2","1")
<=> $false )
& ( vertical("3","1","2","2")
<=> $false )
& ( vertical("3","1","2","3")
<=> $true )
& ( vertical("3","1","3","1")
<=> $true )
& ( vertical("3","1","3","2")
<=> $false )
& ( vertical("3","1","3","3")
<=> $false )
& ( vertical("3","2","1","1")
<=> $false )
& ( vertical("3","2","1","2")
<=> $false )
& ( vertical("3","2","1","3")
<=> $true )
& ( vertical("3","2","2","1")
<=> $true )
& ( vertical("3","2","2","2")
<=> $false )
& ( vertical("3","2","2","3")
<=> $false )
& ( vertical("3","2","3","1")
<=> $false )
& ( vertical("3","2","3","2")
<=> $false )
& ( vertical("3","2","3","3")
<=> $false )
& ( vertical("3","3","1","1")
<=> $true )
& ( vertical("3","3","1","2")
<=> $false )
& ( vertical("3","3","1","3")
<=> $false )
& ( vertical("3","3","2","1")
<=> $false )
& ( vertical("3","3","2","2")
<=> $true )
& ( vertical("3","3","2","3")
<=> $false )
& ( vertical("3","3","3","1")
<=> $false )
& ( vertical("3","3","3","2")
<=> $false )
& ( vertical("3","3","3","3")
<=> $true ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ015-3 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 03:25:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Paradox, version 4.0, 2010-06-29.
% 0.12/0.34 +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.12/0.35 +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.72 +++ BEGIN MODEL
% 0.57/0.72 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.60/0.79 +++ END MODEL
% 0.60/0.79 +++ RESULT: Satisfiable
% 0.60/0.79 SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------