TSTP Solution File: PUZ070-1 by Paradox---4.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : PUZ070-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n019.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 18:23:30 EDT 2022
% Result : Satisfiable 1.21s 1.42s
% Output : FiniteModel 1.21s
% Verified :
% SZS Type : FiniteModel
% Domain size : 9
% Comments :
%------------------------------------------------------------------------------
% domain size is 9
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3"
| X = "4"
| X = "5"
| X = "6"
| X = "7"
| X = "8"
| X = "9" ) ).
fof(dom,fi_predicates,
( ( dom("1")
<=> $true )
& ( dom("2")
<=> $true )
& ( dom("3")
<=> $true )
& ( dom("4")
<=> $true )
& ( dom("5")
<=> $true )
& ( dom("6")
<=> $true )
& ( dom("7")
<=> $true )
& ( dom("8")
<=> $true )
& ( dom("9")
<=> $true ) ) ).
fof(el,fi_predicates,
( ( el("1","1","1")
<=> $false )
& ( el("1","1","2")
<=> $false )
& ( el("1","1","3")
<=> $true )
& ( el("1","1","4")
<=> $false )
& ( el("1","1","5")
<=> $false )
& ( el("1","1","6")
<=> $false )
& ( el("1","1","7")
<=> $false )
& ( el("1","1","8")
<=> $false )
& ( el("1","1","9")
<=> $false )
& ( el("1","2","1")
<=> $true )
& ( el("1","2","2")
<=> $false )
& ( el("1","2","3")
<=> $false )
& ( el("1","2","4")
<=> $false )
& ( el("1","2","5")
<=> $false )
& ( el("1","2","6")
<=> $false )
& ( el("1","2","7")
<=> $false )
& ( el("1","2","8")
<=> $false )
& ( el("1","2","9")
<=> $false )
& ( el("1","3","1")
<=> $false )
& ( el("1","3","2")
<=> $false )
& ( el("1","3","3")
<=> $false )
& ( el("1","3","4")
<=> $false )
& ( el("1","3","5")
<=> $true )
& ( el("1","3","6")
<=> $false )
& ( el("1","3","7")
<=> $false )
& ( el("1","3","8")
<=> $false )
& ( el("1","3","9")
<=> $false )
& ( el("1","4","1")
<=> $false )
& ( el("1","4","2")
<=> $false )
& ( el("1","4","3")
<=> $false )
& ( el("1","4","4")
<=> $false )
& ( el("1","4","5")
<=> $false )
& ( el("1","4","6")
<=> $true )
& ( el("1","4","7")
<=> $false )
& ( el("1","4","8")
<=> $false )
& ( el("1","4","9")
<=> $false )
& ( el("1","5","1")
<=> $false )
& ( el("1","5","2")
<=> $false )
& ( el("1","5","3")
<=> $false )
& ( el("1","5","4")
<=> $false )
& ( el("1","5","5")
<=> $false )
& ( el("1","5","6")
<=> $false )
& ( el("1","5","7")
<=> $true )
& ( el("1","5","8")
<=> $false )
& ( el("1","5","9")
<=> $false )
& ( el("1","6","1")
<=> $false )
& ( el("1","6","2")
<=> $true )
& ( el("1","6","3")
<=> $false )
& ( el("1","6","4")
<=> $false )
& ( el("1","6","5")
<=> $false )
& ( el("1","6","6")
<=> $false )
& ( el("1","6","7")
<=> $false )
& ( el("1","6","8")
<=> $false )
& ( el("1","6","9")
<=> $false )
& ( el("1","7","1")
<=> $false )
& ( el("1","7","2")
<=> $false )
& ( el("1","7","3")
<=> $false )
& ( el("1","7","4")
<=> $true )
& ( el("1","7","5")
<=> $false )
& ( el("1","7","6")
<=> $false )
& ( el("1","7","7")
<=> $false )
& ( el("1","7","8")
<=> $false )
& ( el("1","7","9")
<=> $false )
& ( el("1","8","1")
<=> $false )
& ( el("1","8","2")
<=> $false )
& ( el("1","8","3")
<=> $false )
& ( el("1","8","4")
<=> $false )
& ( el("1","8","5")
<=> $false )
& ( el("1","8","6")
<=> $false )
& ( el("1","8","7")
<=> $false )
& ( el("1","8","8")
<=> $false )
& ( el("1","8","9")
<=> $true )
& ( el("1","9","1")
<=> $false )
& ( el("1","9","2")
<=> $false )
& ( el("1","9","3")
<=> $false )
& ( el("1","9","4")
<=> $false )
& ( el("1","9","5")
<=> $false )
& ( el("1","9","6")
<=> $false )
& ( el("1","9","7")
<=> $false )
& ( el("1","9","8")
<=> $true )
& ( el("1","9","9")
<=> $false )
& ( el("2","1","1")
<=> $false )
& ( el("2","1","2")
<=> $false )
& ( el("2","1","3")
<=> $false )
& ( el("2","1","4")
<=> $false )
& ( el("2","1","5")
<=> $false )
& ( el("2","1","6")
<=> $true )
& ( el("2","1","7")
<=> $false )
& ( el("2","1","8")
<=> $false )
& ( el("2","1","9")
<=> $false )
& ( el("2","2","1")
<=> $false )
& ( el("2","2","2")
<=> $false )
& ( el("2","2","3")
<=> $true )
& ( el("2","2","4")
<=> $false )
& ( el("2","2","5")
<=> $false )
& ( el("2","2","6")
<=> $false )
& ( el("2","2","7")
<=> $false )
& ( el("2","2","8")
<=> $false )
& ( el("2","2","9")
<=> $false )
& ( el("2","3","1")
<=> $false )
& ( el("2","3","2")
<=> $false )
& ( el("2","3","3")
<=> $false )
& ( el("2","3","4")
<=> $false )
& ( el("2","3","5")
<=> $false )
& ( el("2","3","6")
<=> $false )
& ( el("2","3","7")
<=> $false )
& ( el("2","3","8")
<=> $true )
& ( el("2","3","9")
<=> $false )
& ( el("2","4","1")
<=> $true )
& ( el("2","4","2")
<=> $false )
& ( el("2","4","3")
<=> $false )
& ( el("2","4","4")
<=> $false )
& ( el("2","4","5")
<=> $false )
& ( el("2","4","6")
<=> $false )
& ( el("2","4","7")
<=> $false )
& ( el("2","4","8")
<=> $false )
& ( el("2","4","9")
<=> $false )
& ( el("2","5","1")
<=> $false )
& ( el("2","5","2")
<=> $true )
& ( el("2","5","3")
<=> $false )
& ( el("2","5","4")
<=> $false )
& ( el("2","5","5")
<=> $false )
& ( el("2","5","6")
<=> $false )
& ( el("2","5","7")
<=> $false )
& ( el("2","5","8")
<=> $false )
& ( el("2","5","9")
<=> $false )
& ( el("2","6","1")
<=> $false )
& ( el("2","6","2")
<=> $false )
& ( el("2","6","3")
<=> $false )
& ( el("2","6","4")
<=> $false )
& ( el("2","6","5")
<=> $false )
& ( el("2","6","6")
<=> $false )
& ( el("2","6","7")
<=> $true )
& ( el("2","6","8")
<=> $false )
& ( el("2","6","9")
<=> $false )
& ( el("2","7","1")
<=> $false )
& ( el("2","7","2")
<=> $false )
& ( el("2","7","3")
<=> $false )
& ( el("2","7","4")
<=> $false )
& ( el("2","7","5")
<=> $false )
& ( el("2","7","6")
<=> $false )
& ( el("2","7","7")
<=> $false )
& ( el("2","7","8")
<=> $false )
& ( el("2","7","9")
<=> $true )
& ( el("2","8","1")
<=> $false )
& ( el("2","8","2")
<=> $false )
& ( el("2","8","3")
<=> $false )
& ( el("2","8","4")
<=> $false )
& ( el("2","8","5")
<=> $true )
& ( el("2","8","6")
<=> $false )
& ( el("2","8","7")
<=> $false )
& ( el("2","8","8")
<=> $false )
& ( el("2","8","9")
<=> $false )
& ( el("2","9","1")
<=> $false )
& ( el("2","9","2")
<=> $false )
& ( el("2","9","3")
<=> $false )
& ( el("2","9","4")
<=> $true )
& ( el("2","9","5")
<=> $false )
& ( el("2","9","6")
<=> $false )
& ( el("2","9","7")
<=> $false )
& ( el("2","9","8")
<=> $false )
& ( el("2","9","9")
<=> $false )
& ( el("3","1","1")
<=> $false )
& ( el("3","1","2")
<=> $false )
& ( el("3","1","3")
<=> $false )
& ( el("3","1","4")
<=> $false )
& ( el("3","1","5")
<=> $false )
& ( el("3","1","6")
<=> $false )
& ( el("3","1","7")
<=> $false )
& ( el("3","1","8")
<=> $true )
& ( el("3","1","9")
<=> $false )
& ( el("3","2","1")
<=> $false )
& ( el("3","2","2")
<=> $false )
& ( el("3","2","3")
<=> $false )
& ( el("3","2","4")
<=> $false )
& ( el("3","2","5")
<=> $false )
& ( el("3","2","6")
<=> $false )
& ( el("3","2","7")
<=> $false )
& ( el("3","2","8")
<=> $false )
& ( el("3","2","9")
<=> $true )
& ( el("3","3","1")
<=> $true )
& ( el("3","3","2")
<=> $false )
& ( el("3","3","3")
<=> $false )
& ( el("3","3","4")
<=> $false )
& ( el("3","3","5")
<=> $false )
& ( el("3","3","6")
<=> $false )
& ( el("3","3","7")
<=> $false )
& ( el("3","3","8")
<=> $false )
& ( el("3","3","9")
<=> $false )
& ( el("3","4","1")
<=> $false )
& ( el("3","4","2")
<=> $false )
& ( el("3","4","3")
<=> $false )
& ( el("3","4","4")
<=> $true )
& ( el("3","4","5")
<=> $false )
& ( el("3","4","6")
<=> $false )
& ( el("3","4","7")
<=> $false )
& ( el("3","4","8")
<=> $false )
& ( el("3","4","9")
<=> $false )
& ( el("3","5","1")
<=> $false )
& ( el("3","5","2")
<=> $false )
& ( el("3","5","3")
<=> $false )
& ( el("3","5","4")
<=> $false )
& ( el("3","5","5")
<=> $true )
& ( el("3","5","6")
<=> $false )
& ( el("3","5","7")
<=> $false )
& ( el("3","5","8")
<=> $false )
& ( el("3","5","9")
<=> $false )
& ( el("3","6","1")
<=> $false )
& ( el("3","6","2")
<=> $false )
& ( el("3","6","3")
<=> $true )
& ( el("3","6","4")
<=> $false )
& ( el("3","6","5")
<=> $false )
& ( el("3","6","6")
<=> $false )
& ( el("3","6","7")
<=> $false )
& ( el("3","6","8")
<=> $false )
& ( el("3","6","9")
<=> $false )
& ( el("3","7","1")
<=> $false )
& ( el("3","7","2")
<=> $false )
& ( el("3","7","3")
<=> $false )
& ( el("3","7","4")
<=> $false )
& ( el("3","7","5")
<=> $false )
& ( el("3","7","6")
<=> $true )
& ( el("3","7","7")
<=> $false )
& ( el("3","7","8")
<=> $false )
& ( el("3","7","9")
<=> $false )
& ( el("3","8","1")
<=> $false )
& ( el("3","8","2")
<=> $true )
& ( el("3","8","3")
<=> $false )
& ( el("3","8","4")
<=> $false )
& ( el("3","8","5")
<=> $false )
& ( el("3","8","6")
<=> $false )
& ( el("3","8","7")
<=> $false )
& ( el("3","8","8")
<=> $false )
& ( el("3","8","9")
<=> $false )
& ( el("3","9","1")
<=> $false )
& ( el("3","9","2")
<=> $false )
& ( el("3","9","3")
<=> $false )
& ( el("3","9","4")
<=> $false )
& ( el("3","9","5")
<=> $false )
& ( el("3","9","6")
<=> $false )
& ( el("3","9","7")
<=> $true )
& ( el("3","9","8")
<=> $false )
& ( el("3","9","9")
<=> $false )
& ( el("4","1","1")
<=> $false )
& ( el("4","1","2")
<=> $false )
& ( el("4","1","3")
<=> $false )
& ( el("4","1","4")
<=> $false )
& ( el("4","1","5")
<=> $false )
& ( el("4","1","6")
<=> $false )
& ( el("4","1","7")
<=> $true )
& ( el("4","1","8")
<=> $false )
& ( el("4","1","9")
<=> $false )
& ( el("4","2","1")
<=> $false )
& ( el("4","2","2")
<=> $false )
& ( el("4","2","3")
<=> $false )
& ( el("4","2","4")
<=> $false )
& ( el("4","2","5")
<=> $false )
& ( el("4","2","6")
<=> $false )
& ( el("4","2","7")
<=> $false )
& ( el("4","2","8")
<=> $true )
& ( el("4","2","9")
<=> $false )
& ( el("4","3","1")
<=> $false )
& ( el("4","3","2")
<=> $true )
& ( el("4","3","3")
<=> $false )
& ( el("4","3","4")
<=> $false )
& ( el("4","3","5")
<=> $false )
& ( el("4","3","6")
<=> $false )
& ( el("4","3","7")
<=> $false )
& ( el("4","3","8")
<=> $false )
& ( el("4","3","9")
<=> $false )
& ( el("4","4","1")
<=> $false )
& ( el("4","4","2")
<=> $false )
& ( el("4","4","3")
<=> $false )
& ( el("4","4","4")
<=> $false )
& ( el("4","4","5")
<=> $false )
& ( el("4","4","6")
<=> $false )
& ( el("4","4","7")
<=> $false )
& ( el("4","4","8")
<=> $false )
& ( el("4","4","9")
<=> $true )
& ( el("4","5","1")
<=> $false )
& ( el("4","5","2")
<=> $false )
& ( el("4","5","3")
<=> $false )
& ( el("4","5","4")
<=> $false )
& ( el("4","5","5")
<=> $false )
& ( el("4","5","6")
<=> $true )
& ( el("4","5","7")
<=> $false )
& ( el("4","5","8")
<=> $false )
& ( el("4","5","9")
<=> $false )
& ( el("4","6","1")
<=> $false )
& ( el("4","6","2")
<=> $false )
& ( el("4","6","3")
<=> $false )
& ( el("4","6","4")
<=> $true )
& ( el("4","6","5")
<=> $false )
& ( el("4","6","6")
<=> $false )
& ( el("4","6","7")
<=> $false )
& ( el("4","6","8")
<=> $false )
& ( el("4","6","9")
<=> $false )
& ( el("4","7","1")
<=> $false )
& ( el("4","7","2")
<=> $false )
& ( el("4","7","3")
<=> $true )
& ( el("4","7","4")
<=> $false )
& ( el("4","7","5")
<=> $false )
& ( el("4","7","6")
<=> $false )
& ( el("4","7","7")
<=> $false )
& ( el("4","7","8")
<=> $false )
& ( el("4","7","9")
<=> $false )
& ( el("4","8","1")
<=> $true )
& ( el("4","8","2")
<=> $false )
& ( el("4","8","3")
<=> $false )
& ( el("4","8","4")
<=> $false )
& ( el("4","8","5")
<=> $false )
& ( el("4","8","6")
<=> $false )
& ( el("4","8","7")
<=> $false )
& ( el("4","8","8")
<=> $false )
& ( el("4","8","9")
<=> $false )
& ( el("4","9","1")
<=> $false )
& ( el("4","9","2")
<=> $false )
& ( el("4","9","3")
<=> $false )
& ( el("4","9","4")
<=> $false )
& ( el("4","9","5")
<=> $true )
& ( el("4","9","6")
<=> $false )
& ( el("4","9","7")
<=> $false )
& ( el("4","9","8")
<=> $false )
& ( el("4","9","9")
<=> $false )
& ( el("5","1","1")
<=> $false )
& ( el("5","1","2")
<=> $false )
& ( el("5","1","3")
<=> $false )
& ( el("5","1","4")
<=> $false )
& ( el("5","1","5")
<=> $true )
& ( el("5","1","6")
<=> $false )
& ( el("5","1","7")
<=> $false )
& ( el("5","1","8")
<=> $false )
& ( el("5","1","9")
<=> $false )
& ( el("5","2","1")
<=> $false )
& ( el("5","2","2")
<=> $false )
& ( el("5","2","3")
<=> $false )
& ( el("5","2","4")
<=> $false )
& ( el("5","2","5")
<=> $false )
& ( el("5","2","6")
<=> $true )
& ( el("5","2","7")
<=> $false )
& ( el("5","2","8")
<=> $false )
& ( el("5","2","9")
<=> $false )
& ( el("5","3","1")
<=> $false )
& ( el("5","3","2")
<=> $false )
& ( el("5","3","3")
<=> $false )
& ( el("5","3","4")
<=> $false )
& ( el("5","3","5")
<=> $false )
& ( el("5","3","6")
<=> $false )
& ( el("5","3","7")
<=> $false )
& ( el("5","3","8")
<=> $false )
& ( el("5","3","9")
<=> $true )
& ( el("5","4","1")
<=> $false )
& ( el("5","4","2")
<=> $true )
& ( el("5","4","3")
<=> $false )
& ( el("5","4","4")
<=> $false )
& ( el("5","4","5")
<=> $false )
& ( el("5","4","6")
<=> $false )
& ( el("5","4","7")
<=> $false )
& ( el("5","4","8")
<=> $false )
& ( el("5","4","9")
<=> $false )
& ( el("5","5","1")
<=> $false )
& ( el("5","5","2")
<=> $false )
& ( el("5","5","3")
<=> $false )
& ( el("5","5","4")
<=> $true )
& ( el("5","5","5")
<=> $false )
& ( el("5","5","6")
<=> $false )
& ( el("5","5","7")
<=> $false )
& ( el("5","5","8")
<=> $false )
& ( el("5","5","9")
<=> $false )
& ( el("5","6","1")
<=> $true )
& ( el("5","6","2")
<=> $false )
& ( el("5","6","3")
<=> $false )
& ( el("5","6","4")
<=> $false )
& ( el("5","6","5")
<=> $false )
& ( el("5","6","6")
<=> $false )
& ( el("5","6","7")
<=> $false )
& ( el("5","6","8")
<=> $false )
& ( el("5","6","9")
<=> $false )
& ( el("5","7","1")
<=> $false )
& ( el("5","7","2")
<=> $false )
& ( el("5","7","3")
<=> $false )
& ( el("5","7","4")
<=> $false )
& ( el("5","7","5")
<=> $false )
& ( el("5","7","6")
<=> $false )
& ( el("5","7","7")
<=> $true )
& ( el("5","7","8")
<=> $false )
& ( el("5","7","9")
<=> $false )
& ( el("5","8","1")
<=> $false )
& ( el("5","8","2")
<=> $false )
& ( el("5","8","3")
<=> $false )
& ( el("5","8","4")
<=> $false )
& ( el("5","8","5")
<=> $false )
& ( el("5","8","6")
<=> $false )
& ( el("5","8","7")
<=> $false )
& ( el("5","8","8")
<=> $true )
& ( el("5","8","9")
<=> $false )
& ( el("5","9","1")
<=> $false )
& ( el("5","9","2")
<=> $false )
& ( el("5","9","3")
<=> $true )
& ( el("5","9","4")
<=> $false )
& ( el("5","9","5")
<=> $false )
& ( el("5","9","6")
<=> $false )
& ( el("5","9","7")
<=> $false )
& ( el("5","9","8")
<=> $false )
& ( el("5","9","9")
<=> $false )
& ( el("6","1","1")
<=> $false )
& ( el("6","1","2")
<=> $false )
& ( el("6","1","3")
<=> $false )
& ( el("6","1","4")
<=> $true )
& ( el("6","1","5")
<=> $false )
& ( el("6","1","6")
<=> $false )
& ( el("6","1","7")
<=> $false )
& ( el("6","1","8")
<=> $false )
& ( el("6","1","9")
<=> $false )
& ( el("6","2","1")
<=> $false )
& ( el("6","2","2")
<=> $false )
& ( el("6","2","3")
<=> $false )
& ( el("6","2","4")
<=> $false )
& ( el("6","2","5")
<=> $true )
& ( el("6","2","6")
<=> $false )
& ( el("6","2","7")
<=> $false )
& ( el("6","2","8")
<=> $false )
& ( el("6","2","9")
<=> $false )
& ( el("6","3","1")
<=> $false )
& ( el("6","3","2")
<=> $false )
& ( el("6","3","3")
<=> $false )
& ( el("6","3","4")
<=> $false )
& ( el("6","3","5")
<=> $false )
& ( el("6","3","6")
<=> $false )
& ( el("6","3","7")
<=> $true )
& ( el("6","3","8")
<=> $false )
& ( el("6","3","9")
<=> $false )
& ( el("6","4","1")
<=> $false )
& ( el("6","4","2")
<=> $false )
& ( el("6","4","3")
<=> $true )
& ( el("6","4","4")
<=> $false )
& ( el("6","4","5")
<=> $false )
& ( el("6","4","6")
<=> $false )
& ( el("6","4","7")
<=> $false )
& ( el("6","4","8")
<=> $false )
& ( el("6","4","9")
<=> $false )
& ( el("6","5","1")
<=> $false )
& ( el("6","5","2")
<=> $false )
& ( el("6","5","3")
<=> $false )
& ( el("6","5","4")
<=> $false )
& ( el("6","5","5")
<=> $false )
& ( el("6","5","6")
<=> $false )
& ( el("6","5","7")
<=> $false )
& ( el("6","5","8")
<=> $true )
& ( el("6","5","9")
<=> $false )
& ( el("6","6","1")
<=> $false )
& ( el("6","6","2")
<=> $false )
& ( el("6","6","3")
<=> $false )
& ( el("6","6","4")
<=> $false )
& ( el("6","6","5")
<=> $false )
& ( el("6","6","6")
<=> $false )
& ( el("6","6","7")
<=> $false )
& ( el("6","6","8")
<=> $false )
& ( el("6","6","9")
<=> $true )
& ( el("6","7","1")
<=> $false )
& ( el("6","7","2")
<=> $true )
& ( el("6","7","3")
<=> $false )
& ( el("6","7","4")
<=> $false )
& ( el("6","7","5")
<=> $false )
& ( el("6","7","6")
<=> $false )
& ( el("6","7","7")
<=> $false )
& ( el("6","7","8")
<=> $false )
& ( el("6","7","9")
<=> $false )
& ( el("6","8","1")
<=> $false )
& ( el("6","8","2")
<=> $false )
& ( el("6","8","3")
<=> $false )
& ( el("6","8","4")
<=> $false )
& ( el("6","8","5")
<=> $false )
& ( el("6","8","6")
<=> $true )
& ( el("6","8","7")
<=> $false )
& ( el("6","8","8")
<=> $false )
& ( el("6","8","9")
<=> $false )
& ( el("6","9","1")
<=> $true )
& ( el("6","9","2")
<=> $false )
& ( el("6","9","3")
<=> $false )
& ( el("6","9","4")
<=> $false )
& ( el("6","9","5")
<=> $false )
& ( el("6","9","6")
<=> $false )
& ( el("6","9","7")
<=> $false )
& ( el("6","9","8")
<=> $false )
& ( el("6","9","9")
<=> $false )
& ( el("7","1","1")
<=> $true )
& ( el("7","1","2")
<=> $false )
& ( el("7","1","3")
<=> $false )
& ( el("7","1","4")
<=> $false )
& ( el("7","1","5")
<=> $false )
& ( el("7","1","6")
<=> $false )
& ( el("7","1","7")
<=> $false )
& ( el("7","1","8")
<=> $false )
& ( el("7","1","9")
<=> $false )
& ( el("7","2","1")
<=> $false )
& ( el("7","2","2")
<=> $false )
& ( el("7","2","3")
<=> $false )
& ( el("7","2","4")
<=> $true )
& ( el("7","2","5")
<=> $false )
& ( el("7","2","6")
<=> $false )
& ( el("7","2","7")
<=> $false )
& ( el("7","2","8")
<=> $false )
& ( el("7","2","9")
<=> $false )
& ( el("7","3","1")
<=> $false )
& ( el("7","3","2")
<=> $false )
& ( el("7","3","3")
<=> $false )
& ( el("7","3","4")
<=> $false )
& ( el("7","3","5")
<=> $false )
& ( el("7","3","6")
<=> $true )
& ( el("7","3","7")
<=> $false )
& ( el("7","3","8")
<=> $false )
& ( el("7","3","9")
<=> $false )
& ( el("7","4","1")
<=> $false )
& ( el("7","4","2")
<=> $false )
& ( el("7","4","3")
<=> $false )
& ( el("7","4","4")
<=> $false )
& ( el("7","4","5")
<=> $false )
& ( el("7","4","6")
<=> $false )
& ( el("7","4","7")
<=> $true )
& ( el("7","4","8")
<=> $false )
& ( el("7","4","9")
<=> $false )
& ( el("7","5","1")
<=> $false )
& ( el("7","5","2")
<=> $false )
& ( el("7","5","3")
<=> $false )
& ( el("7","5","4")
<=> $false )
& ( el("7","5","5")
<=> $false )
& ( el("7","5","6")
<=> $false )
& ( el("7","5","7")
<=> $false )
& ( el("7","5","8")
<=> $false )
& ( el("7","5","9")
<=> $true )
& ( el("7","6","1")
<=> $false )
& ( el("7","6","2")
<=> $false )
& ( el("7","6","3")
<=> $false )
& ( el("7","6","4")
<=> $false )
& ( el("7","6","5")
<=> $true )
& ( el("7","6","6")
<=> $false )
& ( el("7","6","7")
<=> $false )
& ( el("7","6","8")
<=> $false )
& ( el("7","6","9")
<=> $false )
& ( el("7","7","1")
<=> $false )
& ( el("7","7","2")
<=> $false )
& ( el("7","7","3")
<=> $false )
& ( el("7","7","4")
<=> $false )
& ( el("7","7","5")
<=> $false )
& ( el("7","7","6")
<=> $false )
& ( el("7","7","7")
<=> $false )
& ( el("7","7","8")
<=> $true )
& ( el("7","7","9")
<=> $false )
& ( el("7","8","1")
<=> $false )
& ( el("7","8","2")
<=> $false )
& ( el("7","8","3")
<=> $true )
& ( el("7","8","4")
<=> $false )
& ( el("7","8","5")
<=> $false )
& ( el("7","8","6")
<=> $false )
& ( el("7","8","7")
<=> $false )
& ( el("7","8","8")
<=> $false )
& ( el("7","8","9")
<=> $false )
& ( el("7","9","1")
<=> $false )
& ( el("7","9","2")
<=> $true )
& ( el("7","9","3")
<=> $false )
& ( el("7","9","4")
<=> $false )
& ( el("7","9","5")
<=> $false )
& ( el("7","9","6")
<=> $false )
& ( el("7","9","7")
<=> $false )
& ( el("7","9","8")
<=> $false )
& ( el("7","9","9")
<=> $false )
& ( el("8","1","1")
<=> $false )
& ( el("8","1","2")
<=> $false )
& ( el("8","1","3")
<=> $false )
& ( el("8","1","4")
<=> $false )
& ( el("8","1","5")
<=> $false )
& ( el("8","1","6")
<=> $false )
& ( el("8","1","7")
<=> $false )
& ( el("8","1","8")
<=> $false )
& ( el("8","1","9")
<=> $true )
& ( el("8","2","1")
<=> $false )
& ( el("8","2","2")
<=> $true )
& ( el("8","2","3")
<=> $false )
& ( el("8","2","4")
<=> $false )
& ( el("8","2","5")
<=> $false )
& ( el("8","2","6")
<=> $false )
& ( el("8","2","7")
<=> $false )
& ( el("8","2","8")
<=> $false )
& ( el("8","2","9")
<=> $false )
& ( el("8","3","1")
<=> $false )
& ( el("8","3","2")
<=> $false )
& ( el("8","3","3")
<=> $false )
& ( el("8","3","4")
<=> $true )
& ( el("8","3","5")
<=> $false )
& ( el("8","3","6")
<=> $false )
& ( el("8","3","7")
<=> $false )
& ( el("8","3","8")
<=> $false )
& ( el("8","3","9")
<=> $false )
& ( el("8","4","1")
<=> $false )
& ( el("8","4","2")
<=> $false )
& ( el("8","4","3")
<=> $false )
& ( el("8","4","4")
<=> $false )
& ( el("8","4","5")
<=> $true )
& ( el("8","4","6")
<=> $false )
& ( el("8","4","7")
<=> $false )
& ( el("8","4","8")
<=> $false )
& ( el("8","4","9")
<=> $false )
& ( el("8","5","1")
<=> $false )
& ( el("8","5","2")
<=> $false )
& ( el("8","5","3")
<=> $true )
& ( el("8","5","4")
<=> $false )
& ( el("8","5","5")
<=> $false )
& ( el("8","5","6")
<=> $false )
& ( el("8","5","7")
<=> $false )
& ( el("8","5","8")
<=> $false )
& ( el("8","5","9")
<=> $false )
& ( el("8","6","1")
<=> $false )
& ( el("8","6","2")
<=> $false )
& ( el("8","6","3")
<=> $false )
& ( el("8","6","4")
<=> $false )
& ( el("8","6","5")
<=> $false )
& ( el("8","6","6")
<=> $false )
& ( el("8","6","7")
<=> $false )
& ( el("8","6","8")
<=> $true )
& ( el("8","6","9")
<=> $false )
& ( el("8","7","1")
<=> $true )
& ( el("8","7","2")
<=> $false )
& ( el("8","7","3")
<=> $false )
& ( el("8","7","4")
<=> $false )
& ( el("8","7","5")
<=> $false )
& ( el("8","7","6")
<=> $false )
& ( el("8","7","7")
<=> $false )
& ( el("8","7","8")
<=> $false )
& ( el("8","7","9")
<=> $false )
& ( el("8","8","1")
<=> $false )
& ( el("8","8","2")
<=> $false )
& ( el("8","8","3")
<=> $false )
& ( el("8","8","4")
<=> $false )
& ( el("8","8","5")
<=> $false )
& ( el("8","8","6")
<=> $false )
& ( el("8","8","7")
<=> $true )
& ( el("8","8","8")
<=> $false )
& ( el("8","8","9")
<=> $false )
& ( el("8","9","1")
<=> $false )
& ( el("8","9","2")
<=> $false )
& ( el("8","9","3")
<=> $false )
& ( el("8","9","4")
<=> $false )
& ( el("8","9","5")
<=> $false )
& ( el("8","9","6")
<=> $true )
& ( el("8","9","7")
<=> $false )
& ( el("8","9","8")
<=> $false )
& ( el("8","9","9")
<=> $false )
& ( el("9","1","1")
<=> $false )
& ( el("9","1","2")
<=> $true )
& ( el("9","1","3")
<=> $false )
& ( el("9","1","4")
<=> $false )
& ( el("9","1","5")
<=> $false )
& ( el("9","1","6")
<=> $false )
& ( el("9","1","7")
<=> $false )
& ( el("9","1","8")
<=> $false )
& ( el("9","1","9")
<=> $false )
& ( el("9","2","1")
<=> $false )
& ( el("9","2","2")
<=> $false )
& ( el("9","2","3")
<=> $false )
& ( el("9","2","4")
<=> $false )
& ( el("9","2","5")
<=> $false )
& ( el("9","2","6")
<=> $false )
& ( el("9","2","7")
<=> $true )
& ( el("9","2","8")
<=> $false )
& ( el("9","2","9")
<=> $false )
& ( el("9","3","1")
<=> $false )
& ( el("9","3","2")
<=> $false )
& ( el("9","3","3")
<=> $true )
& ( el("9","3","4")
<=> $false )
& ( el("9","3","5")
<=> $false )
& ( el("9","3","6")
<=> $false )
& ( el("9","3","7")
<=> $false )
& ( el("9","3","8")
<=> $false )
& ( el("9","3","9")
<=> $false )
& ( el("9","4","1")
<=> $false )
& ( el("9","4","2")
<=> $false )
& ( el("9","4","3")
<=> $false )
& ( el("9","4","4")
<=> $false )
& ( el("9","4","5")
<=> $false )
& ( el("9","4","6")
<=> $false )
& ( el("9","4","7")
<=> $false )
& ( el("9","4","8")
<=> $true )
& ( el("9","4","9")
<=> $false )
& ( el("9","5","1")
<=> $true )
& ( el("9","5","2")
<=> $false )
& ( el("9","5","3")
<=> $false )
& ( el("9","5","4")
<=> $false )
& ( el("9","5","5")
<=> $false )
& ( el("9","5","6")
<=> $false )
& ( el("9","5","7")
<=> $false )
& ( el("9","5","8")
<=> $false )
& ( el("9","5","9")
<=> $false )
& ( el("9","6","1")
<=> $false )
& ( el("9","6","2")
<=> $false )
& ( el("9","6","3")
<=> $false )
& ( el("9","6","4")
<=> $false )
& ( el("9","6","5")
<=> $false )
& ( el("9","6","6")
<=> $true )
& ( el("9","6","7")
<=> $false )
& ( el("9","6","8")
<=> $false )
& ( el("9","6","9")
<=> $false )
& ( el("9","7","1")
<=> $false )
& ( el("9","7","2")
<=> $false )
& ( el("9","7","3")
<=> $false )
& ( el("9","7","4")
<=> $false )
& ( el("9","7","5")
<=> $true )
& ( el("9","7","6")
<=> $false )
& ( el("9","7","7")
<=> $false )
& ( el("9","7","8")
<=> $false )
& ( el("9","7","9")
<=> $false )
& ( el("9","8","1")
<=> $false )
& ( el("9","8","2")
<=> $false )
& ( el("9","8","3")
<=> $false )
& ( el("9","8","4")
<=> $true )
& ( el("9","8","5")
<=> $false )
& ( el("9","8","6")
<=> $false )
& ( el("9","8","7")
<=> $false )
& ( el("9","8","8")
<=> $false )
& ( el("9","8","9")
<=> $false )
& ( el("9","9","1")
<=> $false )
& ( el("9","9","2")
<=> $false )
& ( el("9","9","3")
<=> $false )
& ( el("9","9","4")
<=> $false )
& ( el("9","9","5")
<=> $false )
& ( el("9","9","6")
<=> $false )
& ( el("9","9","7")
<=> $false )
& ( el("9","9","8")
<=> $false )
& ( el("9","9","9")
<=> $true ) ) ).
fof(n0,fi_functors,
n0 = "1" ).
fof(s,fi_functors,
( s("1") = "9"
& s("2") = "6"
& s("3") = "1"
& s("4") = "3"
& s("5") = "4"
& s("6") = "5"
& s("7") = "2"
& s("8") = "7"
& s("9") = "8" ) ).
fof(subfield,fi_predicates,
( ( subfield("1","1")
<=> $false )
& ( subfield("1","2")
<=> $false )
& ( subfield("1","3")
<=> $false )
& ( subfield("1","4")
<=> $false )
& ( subfield("1","5")
<=> $false )
& ( subfield("1","6")
<=> $false )
& ( subfield("1","7")
<=> $false )
& ( subfield("1","8")
<=> $false )
& ( subfield("1","9")
<=> $false )
& ( subfield("2","1")
<=> $false )
& ( subfield("2","2")
<=> $true )
& ( subfield("2","3")
<=> $false )
& ( subfield("2","4")
<=> $true )
& ( subfield("2","5")
<=> $false )
& ( subfield("2","6")
<=> $false )
& ( subfield("2","7")
<=> $false )
& ( subfield("2","8")
<=> $false )
& ( subfield("2","9")
<=> $true )
& ( subfield("3","1")
<=> $false )
& ( subfield("3","2")
<=> $false )
& ( subfield("3","3")
<=> $false )
& ( subfield("3","4")
<=> $false )
& ( subfield("3","5")
<=> $false )
& ( subfield("3","6")
<=> $false )
& ( subfield("3","7")
<=> $false )
& ( subfield("3","8")
<=> $false )
& ( subfield("3","9")
<=> $false )
& ( subfield("4","1")
<=> $false )
& ( subfield("4","2")
<=> $true )
& ( subfield("4","3")
<=> $false )
& ( subfield("4","4")
<=> $true )
& ( subfield("4","5")
<=> $false )
& ( subfield("4","6")
<=> $false )
& ( subfield("4","7")
<=> $false )
& ( subfield("4","8")
<=> $false )
& ( subfield("4","9")
<=> $true )
& ( subfield("5","1")
<=> $false )
& ( subfield("5","2")
<=> $false )
& ( subfield("5","3")
<=> $false )
& ( subfield("5","4")
<=> $false )
& ( subfield("5","5")
<=> $false )
& ( subfield("5","6")
<=> $false )
& ( subfield("5","7")
<=> $false )
& ( subfield("5","8")
<=> $false )
& ( subfield("5","9")
<=> $false )
& ( subfield("6","1")
<=> $false )
& ( subfield("6","2")
<=> $false )
& ( subfield("6","3")
<=> $false )
& ( subfield("6","4")
<=> $false )
& ( subfield("6","5")
<=> $false )
& ( subfield("6","6")
<=> $false )
& ( subfield("6","7")
<=> $false )
& ( subfield("6","8")
<=> $false )
& ( subfield("6","9")
<=> $false )
& ( subfield("7","1")
<=> $false )
& ( subfield("7","2")
<=> $false )
& ( subfield("7","3")
<=> $false )
& ( subfield("7","4")
<=> $false )
& ( subfield("7","5")
<=> $false )
& ( subfield("7","6")
<=> $false )
& ( subfield("7","7")
<=> $false )
& ( subfield("7","8")
<=> $false )
& ( subfield("7","9")
<=> $false )
& ( subfield("8","1")
<=> $false )
& ( subfield("8","2")
<=> $false )
& ( subfield("8","3")
<=> $false )
& ( subfield("8","4")
<=> $false )
& ( subfield("8","5")
<=> $false )
& ( subfield("8","6")
<=> $false )
& ( subfield("8","7")
<=> $false )
& ( subfield("8","8")
<=> $false )
& ( subfield("8","9")
<=> $false )
& ( subfield("9","1")
<=> $false )
& ( subfield("9","2")
<=> $true )
& ( subfield("9","3")
<=> $false )
& ( subfield("9","4")
<=> $true )
& ( subfield("9","5")
<=> $false )
& ( subfield("9","6")
<=> $false )
& ( subfield("9","7")
<=> $false )
& ( subfield("9","8")
<=> $false )
& ( subfield("9","9")
<=> $true ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ070-1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 02:04:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.35 Paradox, version 4.0, 2010-06-29.
% 0.20/0.35 +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.20/0.36 Reading 'Axioms/PUZ005-0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/PUZ005-0.ax') OK
% 0.20/0.38 +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.21/1.41 +++ BEGIN MODEL
% 1.21/1.41 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.21/1.41 +++ END MODEL
% 1.21/1.42 +++ RESULT: Satisfiable
% 1.21/1.42 SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------