TSTP Solution File: LCL219-10 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : LCL219-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n015.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 : Sun Jul 17 13:30:17 EDT 2022

% Result   : Satisfiable 0.87s 1.08s
% Output   : FiniteModel 0.87s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    5

% Comments : 
%------------------------------------------------------------------------------
% domain size is 5
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2"
      | X = "3"
      | X = "4"
      | X = "5" ) ).

fof(axiom,fi_functors,
    ( axiom("1") = "3"
    & axiom("2") = "3"
    & axiom("3") = "4"
    & axiom("4") = "1"
    & axiom("5") = "1" ) ).

fof(ifeq,fi_functors,
    ( ifeq("1","1","1","1") = "1"
    & ifeq("1","1","1","2") = "1"
    & ifeq("1","1","1","3") = "1"
    & ifeq("1","1","1","4") = "1"
    & ifeq("1","1","1","5") = "1"
    & ifeq("1","1","2","1") = "2"
    & ifeq("1","1","2","2") = "2"
    & ifeq("1","1","2","3") = "2"
    & ifeq("1","1","2","4") = "2"
    & ifeq("1","1","2","5") = "2"
    & ifeq("1","1","3","1") = "3"
    & ifeq("1","1","3","2") = "3"
    & ifeq("1","1","3","3") = "3"
    & ifeq("1","1","3","4") = "3"
    & ifeq("1","1","3","5") = "3"
    & ifeq("1","1","4","1") = "4"
    & ifeq("1","1","4","2") = "4"
    & ifeq("1","1","4","3") = "4"
    & ifeq("1","1","4","4") = "4"
    & ifeq("1","1","4","5") = "4"
    & ifeq("1","1","5","1") = "5"
    & ifeq("1","1","5","2") = "5"
    & ifeq("1","1","5","3") = "5"
    & ifeq("1","1","5","4") = "5"
    & ifeq("1","1","5","5") = "5"
    & ifeq("1","2","1","1") = "1"
    & ifeq("1","2","1","2") = "1"
    & ifeq("1","2","1","3") = "4"
    & ifeq("1","2","1","4") = "5"
    & ifeq("1","2","1","5") = "1"
    & ifeq("1","2","2","1") = "1"
    & ifeq("1","2","2","2") = "1"
    & ifeq("1","2","2","3") = "4"
    & ifeq("1","2","2","4") = "4"
    & ifeq("1","2","2","5") = "1"
    & ifeq("1","2","3","1") = "4"
    & ifeq("1","2","3","2") = "1"
    & ifeq("1","2","3","3") = "4"
    & ifeq("1","2","3","4") = "5"
    & ifeq("1","2","3","5") = "1"
    & ifeq("1","2","4","1") = "5"
    & ifeq("1","2","4","2") = "2"
    & ifeq("1","2","4","3") = "3"
    & ifeq("1","2","4","4") = "5"
    & ifeq("1","2","4","5") = "1"
    & ifeq("1","2","5","1") = "1"
    & ifeq("1","2","5","2") = "1"
    & ifeq("1","2","5","3") = "1"
    & ifeq("1","2","5","4") = "1"
    & ifeq("1","2","5","5") = "1"
    & ifeq("1","3","1","1") = "3"
    & ifeq("1","3","1","2") = "4"
    & ifeq("1","3","1","3") = "4"
    & ifeq("1","3","1","4") = "5"
    & ifeq("1","3","1","5") = "1"
    & ifeq("1","3","2","1") = "1"
    & ifeq("1","3","2","2") = "1"
    & ifeq("1","3","2","3") = "1"
    & ifeq("1","3","2","4") = "2"
    & ifeq("1","3","2","5") = "1"
    & ifeq("1","3","3","1") = "1"
    & ifeq("1","3","3","2") = "1"
    & ifeq("1","3","3","3") = "1"
    & ifeq("1","3","3","4") = "5"
    & ifeq("1","3","3","5") = "1"
    & ifeq("1","3","4","1") = "5"
    & ifeq("1","3","4","2") = "1"
    & ifeq("1","3","4","3") = "1"
    & ifeq("1","3","4","4") = "2"
    & ifeq("1","3","4","5") = "1"
    & ifeq("1","3","5","1") = "1"
    & ifeq("1","3","5","2") = "1"
    & ifeq("1","3","5","3") = "1"
    & ifeq("1","3","5","4") = "1"
    & ifeq("1","3","5","5") = "1"
    & ifeq("1","4","1","1") = "1"
    & ifeq("1","4","1","2") = "2"
    & ifeq("1","4","1","3") = "5"
    & ifeq("1","4","1","4") = "5"
    & ifeq("1","4","1","5") = "1"
    & ifeq("1","4","2","1") = "1"
    & ifeq("1","4","2","2") = "4"
    & ifeq("1","4","2","3") = "1"
    & ifeq("1","4","2","4") = "5"
    & ifeq("1","4","2","5") = "1"
    & ifeq("1","4","3","1") = "1"
    & ifeq("1","4","3","2") = "5"
    & ifeq("1","4","3","3") = "1"
    & ifeq("1","4","3","4") = "4"
    & ifeq("1","4","3","5") = "1"
    & ifeq("1","4","4","1") = "2"
    & ifeq("1","4","4","2") = "2"
    & ifeq("1","4","4","3") = "5"
    & ifeq("1","4","4","4") = "5"
    & ifeq("1","4","4","5") = "1"
    & ifeq("1","4","5","1") = "1"
    & ifeq("1","4","5","2") = "1"
    & ifeq("1","4","5","3") = "1"
    & ifeq("1","4","5","4") = "1"
    & ifeq("1","4","5","5") = "1"
    & ifeq("1","5","1","1") = "1"
    & ifeq("1","5","1","2") = "1"
    & ifeq("1","5","1","3") = "1"
    & ifeq("1","5","1","4") = "1"
    & ifeq("1","5","1","5") = "1"
    & ifeq("1","5","2","1") = "1"
    & ifeq("1","5","2","2") = "1"
    & ifeq("1","5","2","3") = "1"
    & ifeq("1","5","2","4") = "1"
    & ifeq("1","5","2","5") = "1"
    & ifeq("1","5","3","1") = "1"
    & ifeq("1","5","3","2") = "1"
    & ifeq("1","5","3","3") = "1"
    & ifeq("1","5","3","4") = "1"
    & ifeq("1","5","3","5") = "1"
    & ifeq("1","5","4","1") = "1"
    & ifeq("1","5","4","2") = "1"
    & ifeq("1","5","4","3") = "1"
    & ifeq("1","5","4","4") = "1"
    & ifeq("1","5","4","5") = "1"
    & ifeq("1","5","5","1") = "1"
    & ifeq("1","5","5","2") = "1"
    & ifeq("1","5","5","3") = "1"
    & ifeq("1","5","5","4") = "1"
    & ifeq("1","5","5","5") = "1"
    & ifeq("2","1","1","1") = "1"
    & ifeq("2","1","1","2") = "1"
    & ifeq("2","1","1","3") = "1"
    & ifeq("2","1","1","4") = "2"
    & ifeq("2","1","1","5") = "1"
    & ifeq("2","1","2","1") = "1"
    & ifeq("2","1","2","2") = "1"
    & ifeq("2","1","2","3") = "1"
    & ifeq("2","1","2","4") = "1"
    & ifeq("2","1","2","5") = "1"
    & ifeq("2","1","3","1") = "1"
    & ifeq("2","1","3","2") = "1"
    & ifeq("2","1","3","3") = "5"
    & ifeq("2","1","3","4") = "1"
    & ifeq("2","1","3","5") = "1"
    & ifeq("2","1","4","1") = "1"
    & ifeq("2","1","4","2") = "5"
    & ifeq("2","1","4","3") = "1"
    & ifeq("2","1","4","4") = "2"
    & ifeq("2","1","4","5") = "1"
    & ifeq("2","1","5","1") = "1"
    & ifeq("2","1","5","2") = "1"
    & ifeq("2","1","5","3") = "1"
    & ifeq("2","1","5","4") = "1"
    & ifeq("2","1","5","5") = "1"
    & ifeq("2","2","1","1") = "1"
    & ifeq("2","2","1","2") = "1"
    & ifeq("2","2","1","3") = "1"
    & ifeq("2","2","1","4") = "1"
    & ifeq("2","2","1","5") = "1"
    & ifeq("2","2","2","1") = "2"
    & ifeq("2","2","2","2") = "2"
    & ifeq("2","2","2","3") = "2"
    & ifeq("2","2","2","4") = "2"
    & ifeq("2","2","2","5") = "2"
    & ifeq("2","2","3","1") = "3"
    & ifeq("2","2","3","2") = "3"
    & ifeq("2","2","3","3") = "3"
    & ifeq("2","2","3","4") = "3"
    & ifeq("2","2","3","5") = "3"
    & ifeq("2","2","4","1") = "4"
    & ifeq("2","2","4","2") = "4"
    & ifeq("2","2","4","3") = "4"
    & ifeq("2","2","4","4") = "4"
    & ifeq("2","2","4","5") = "4"
    & ifeq("2","2","5","1") = "5"
    & ifeq("2","2","5","2") = "5"
    & ifeq("2","2","5","3") = "5"
    & ifeq("2","2","5","4") = "5"
    & ifeq("2","2","5","5") = "5"
    & ifeq("2","3","1","1") = "1"
    & ifeq("2","3","1","2") = "1"
    & ifeq("2","3","1","3") = "1"
    & ifeq("2","3","1","4") = "3"
    & ifeq("2","3","1","5") = "1"
    & ifeq("2","3","2","1") = "1"
    & ifeq("2","3","2","2") = "1"
    & ifeq("2","3","2","3") = "1"
    & ifeq("2","3","2","4") = "1"
    & ifeq("2","3","2","5") = "1"
    & ifeq("2","3","3","1") = "1"
    & ifeq("2","3","3","2") = "1"
    & ifeq("2","3","3","3") = "1"
    & ifeq("2","3","3","4") = "2"
    & ifeq("2","3","3","5") = "1"
    & ifeq("2","3","4","1") = "1"
    & ifeq("2","3","4","2") = "2"
    & ifeq("2","3","4","3") = "1"
    & ifeq("2","3","4","4") = "5"
    & ifeq("2","3","4","5") = "1"
    & ifeq("2","3","5","1") = "1"
    & ifeq("2","3","5","2") = "1"
    & ifeq("2","3","5","3") = "1"
    & ifeq("2","3","5","4") = "1"
    & ifeq("2","3","5","5") = "1"
    & ifeq("2","4","1","1") = "1"
    & ifeq("2","4","1","2") = "1"
    & ifeq("2","4","1","3") = "2"
    & ifeq("2","4","1","4") = "1"
    & ifeq("2","4","1","5") = "1"
    & ifeq("2","4","2","1") = "5"
    & ifeq("2","4","2","2") = "5"
    & ifeq("2","4","2","3") = "5"
    & ifeq("2","4","2","4") = "5"
    & ifeq("2","4","2","5") = "1"
    & ifeq("2","4","3","1") = "5"
    & ifeq("2","4","3","2") = "1"
    & ifeq("2","4","3","3") = "3"
    & ifeq("2","4","3","4") = "1"
    & ifeq("2","4","3","5") = "1"
    & ifeq("2","4","4","1") = "1"
    & ifeq("2","4","4","2") = "2"
    & ifeq("2","4","4","3") = "5"
    & ifeq("2","4","4","4") = "5"
    & ifeq("2","4","4","5") = "1"
    & ifeq("2","4","5","1") = "1"
    & ifeq("2","4","5","2") = "1"
    & ifeq("2","4","5","3") = "1"
    & ifeq("2","4","5","4") = "1"
    & ifeq("2","4","5","5") = "1"
    & ifeq("2","5","1","1") = "1"
    & ifeq("2","5","1","2") = "1"
    & ifeq("2","5","1","3") = "1"
    & ifeq("2","5","1","4") = "1"
    & ifeq("2","5","1","5") = "1"
    & ifeq("2","5","2","1") = "1"
    & ifeq("2","5","2","2") = "1"
    & ifeq("2","5","2","3") = "1"
    & ifeq("2","5","2","4") = "1"
    & ifeq("2","5","2","5") = "1"
    & ifeq("2","5","3","1") = "1"
    & ifeq("2","5","3","2") = "1"
    & ifeq("2","5","3","3") = "1"
    & ifeq("2","5","3","4") = "1"
    & ifeq("2","5","3","5") = "1"
    & ifeq("2","5","4","1") = "1"
    & ifeq("2","5","4","2") = "1"
    & ifeq("2","5","4","3") = "1"
    & ifeq("2","5","4","4") = "1"
    & ifeq("2","5","4","5") = "1"
    & ifeq("2","5","5","1") = "1"
    & ifeq("2","5","5","2") = "1"
    & ifeq("2","5","5","3") = "1"
    & ifeq("2","5","5","4") = "1"
    & ifeq("2","5","5","5") = "1"
    & ifeq("3","1","1","1") = "1"
    & ifeq("3","1","1","2") = "1"
    & ifeq("3","1","1","3") = "1"
    & ifeq("3","1","1","4") = "1"
    & ifeq("3","1","1","5") = "1"
    & ifeq("3","1","2","1") = "1"
    & ifeq("3","1","2","2") = "1"
    & ifeq("3","1","2","3") = "5"
    & ifeq("3","1","2","4") = "1"
    & ifeq("3","1","2","5") = "1"
    & ifeq("3","1","3","1") = "1"
    & ifeq("3","1","3","2") = "5"
    & ifeq("3","1","3","3") = "1"
    & ifeq("3","1","3","4") = "2"
    & ifeq("3","1","3","5") = "1"
    & ifeq("3","1","4","1") = "1"
    & ifeq("3","1","4","2") = "4"
    & ifeq("3","1","4","3") = "1"
    & ifeq("3","1","4","4") = "5"
    & ifeq("3","1","4","5") = "1"
    & ifeq("3","1","5","1") = "1"
    & ifeq("3","1","5","2") = "1"
    & ifeq("3","1","5","3") = "1"
    & ifeq("3","1","5","4") = "1"
    & ifeq("3","1","5","5") = "1"
    & ifeq("3","2","1","1") = "1"
    & ifeq("3","2","1","2") = "1"
    & ifeq("3","2","1","3") = "5"
    & ifeq("3","2","1","4") = "1"
    & ifeq("3","2","1","5") = "1"
    & ifeq("3","2","2","1") = "1"
    & ifeq("3","2","2","2") = "1"
    & ifeq("3","2","2","3") = "1"
    & ifeq("3","2","2","4") = "1"
    & ifeq("3","2","2","5") = "1"
    & ifeq("3","2","3","1") = "1"
    & ifeq("3","2","3","2") = "1"
    & ifeq("3","2","3","3") = "1"
    & ifeq("3","2","3","4") = "1"
    & ifeq("3","2","3","5") = "1"
    & ifeq("3","2","4","1") = "5"
    & ifeq("3","2","4","2") = "1"
    & ifeq("3","2","4","3") = "5"
    & ifeq("3","2","4","4") = "2"
    & ifeq("3","2","4","5") = "1"
    & ifeq("3","2","5","1") = "1"
    & ifeq("3","2","5","2") = "1"
    & ifeq("3","2","5","3") = "1"
    & ifeq("3","2","5","4") = "1"
    & ifeq("3","2","5","5") = "1"
    & ifeq("3","3","1","1") = "1"
    & ifeq("3","3","1","2") = "1"
    & ifeq("3","3","1","3") = "1"
    & ifeq("3","3","1","4") = "1"
    & ifeq("3","3","1","5") = "1"
    & ifeq("3","3","2","1") = "2"
    & ifeq("3","3","2","2") = "2"
    & ifeq("3","3","2","3") = "2"
    & ifeq("3","3","2","4") = "2"
    & ifeq("3","3","2","5") = "2"
    & ifeq("3","3","3","1") = "3"
    & ifeq("3","3","3","2") = "3"
    & ifeq("3","3","3","3") = "3"
    & ifeq("3","3","3","4") = "3"
    & ifeq("3","3","3","5") = "3"
    & ifeq("3","3","4","1") = "4"
    & ifeq("3","3","4","2") = "4"
    & ifeq("3","3","4","3") = "4"
    & ifeq("3","3","4","4") = "4"
    & ifeq("3","3","4","5") = "4"
    & ifeq("3","3","5","1") = "5"
    & ifeq("3","3","5","2") = "5"
    & ifeq("3","3","5","3") = "5"
    & ifeq("3","3","5","4") = "5"
    & ifeq("3","3","5","5") = "5"
    & ifeq("3","4","1","1") = "3"
    & ifeq("3","4","1","2") = "2"
    & ifeq("3","4","1","3") = "5"
    & ifeq("3","4","1","4") = "1"
    & ifeq("3","4","1","5") = "1"
    & ifeq("3","4","2","1") = "2"
    & ifeq("3","4","2","2") = "1"
    & ifeq("3","4","2","3") = "2"
    & ifeq("3","4","2","4") = "5"
    & ifeq("3","4","2","5") = "1"
    & ifeq("3","4","3","1") = "2"
    & ifeq("3","4","3","2") = "1"
    & ifeq("3","4","3","3") = "3"
    & ifeq("3","4","3","4") = "5"
    & ifeq("3","4","3","5") = "1"
    & ifeq("3","4","4","1") = "1"
    & ifeq("3","4","4","2") = "2"
    & ifeq("3","4","4","3") = "1"
    & ifeq("3","4","4","4") = "3"
    & ifeq("3","4","4","5") = "1"
    & ifeq("3","4","5","1") = "1"
    & ifeq("3","4","5","2") = "1"
    & ifeq("3","4","5","3") = "1"
    & ifeq("3","4","5","4") = "1"
    & ifeq("3","4","5","5") = "1"
    & ifeq("3","5","1","1") = "1"
    & ifeq("3","5","1","2") = "1"
    & ifeq("3","5","1","3") = "1"
    & ifeq("3","5","1","4") = "1"
    & ifeq("3","5","1","5") = "1"
    & ifeq("3","5","2","1") = "1"
    & ifeq("3","5","2","2") = "1"
    & ifeq("3","5","2","3") = "1"
    & ifeq("3","5","2","4") = "1"
    & ifeq("3","5","2","5") = "1"
    & ifeq("3","5","3","1") = "1"
    & ifeq("3","5","3","2") = "1"
    & ifeq("3","5","3","3") = "1"
    & ifeq("3","5","3","4") = "1"
    & ifeq("3","5","3","5") = "1"
    & ifeq("3","5","4","1") = "1"
    & ifeq("3","5","4","2") = "1"
    & ifeq("3","5","4","3") = "1"
    & ifeq("3","5","4","4") = "1"
    & ifeq("3","5","4","5") = "1"
    & ifeq("3","5","5","1") = "1"
    & ifeq("3","5","5","2") = "1"
    & ifeq("3","5","5","3") = "1"
    & ifeq("3","5","5","4") = "1"
    & ifeq("3","5","5","5") = "1"
    & ifeq("4","1","1","1") = "1"
    & ifeq("4","1","1","2") = "5"
    & ifeq("4","1","1","3") = "1"
    & ifeq("4","1","1","4") = "2"
    & ifeq("4","1","1","5") = "1"
    & ifeq("4","1","2","1") = "1"
    & ifeq("4","1","2","2") = "1"
    & ifeq("4","1","2","3") = "1"
    & ifeq("4","1","2","4") = "1"
    & ifeq("4","1","2","5") = "1"
    & ifeq("4","1","3","1") = "1"
    & ifeq("4","1","3","2") = "2"
    & ifeq("4","1","3","3") = "2"
    & ifeq("4","1","3","4") = "4"
    & ifeq("4","1","3","5") = "1"
    & ifeq("4","1","4","1") = "1"
    & ifeq("4","1","4","2") = "1"
    & ifeq("4","1","4","3") = "1"
    & ifeq("4","1","4","4") = "5"
    & ifeq("4","1","4","5") = "1"
    & ifeq("4","1","5","1") = "1"
    & ifeq("4","1","5","2") = "1"
    & ifeq("4","1","5","3") = "1"
    & ifeq("4","1","5","4") = "1"
    & ifeq("4","1","5","5") = "1"
    & ifeq("4","2","1","1") = "1"
    & ifeq("4","2","1","2") = "2"
    & ifeq("4","2","1","3") = "2"
    & ifeq("4","2","1","4") = "1"
    & ifeq("4","2","1","5") = "1"
    & ifeq("4","2","2","1") = "1"
    & ifeq("4","2","2","2") = "3"
    & ifeq("4","2","2","3") = "1"
    & ifeq("4","2","2","4") = "4"
    & ifeq("4","2","2","5") = "1"
    & ifeq("4","2","3","1") = "1"
    & ifeq("4","2","3","2") = "5"
    & ifeq("4","2","3","3") = "4"
    & ifeq("4","2","3","4") = "1"
    & ifeq("4","2","3","5") = "1"
    & ifeq("4","2","4","1") = "2"
    & ifeq("4","2","4","2") = "3"
    & ifeq("4","2","4","3") = "2"
    & ifeq("4","2","4","4") = "2"
    & ifeq("4","2","4","5") = "1"
    & ifeq("4","2","5","1") = "1"
    & ifeq("4","2","5","2") = "1"
    & ifeq("4","2","5","3") = "1"
    & ifeq("4","2","5","4") = "1"
    & ifeq("4","2","5","5") = "1"
    & ifeq("4","3","1","1") = "1"
    & ifeq("4","3","1","2") = "5"
    & ifeq("4","3","1","3") = "3"
    & ifeq("4","3","1","4") = "3"
    & ifeq("4","3","1","5") = "1"
    & ifeq("4","3","2","1") = "5"
    & ifeq("4","3","2","2") = "1"
    & ifeq("4","3","2","3") = "3"
    & ifeq("4","3","2","4") = "3"
    & ifeq("4","3","2","5") = "1"
    & ifeq("4","3","3","1") = "3"
    & ifeq("4","3","3","2") = "5"
    & ifeq("4","3","3","3") = "3"
    & ifeq("4","3","3","4") = "5"
    & ifeq("4","3","3","5") = "1"
    & ifeq("4","3","4","1") = "4"
    & ifeq("4","3","4","2") = "5"
    & ifeq("4","3","4","3") = "1"
    & ifeq("4","3","4","4") = "3"
    & ifeq("4","3","4","5") = "1"
    & ifeq("4","3","5","1") = "1"
    & ifeq("4","3","5","2") = "1"
    & ifeq("4","3","5","3") = "1"
    & ifeq("4","3","5","4") = "1"
    & ifeq("4","3","5","5") = "1"
    & ifeq("4","4","1","1") = "1"
    & ifeq("4","4","1","2") = "1"
    & ifeq("4","4","1","3") = "1"
    & ifeq("4","4","1","4") = "1"
    & ifeq("4","4","1","5") = "1"
    & ifeq("4","4","2","1") = "2"
    & ifeq("4","4","2","2") = "2"
    & ifeq("4","4","2","3") = "2"
    & ifeq("4","4","2","4") = "2"
    & ifeq("4","4","2","5") = "2"
    & ifeq("4","4","3","1") = "3"
    & ifeq("4","4","3","2") = "3"
    & ifeq("4","4","3","3") = "3"
    & ifeq("4","4","3","4") = "3"
    & ifeq("4","4","3","5") = "3"
    & ifeq("4","4","4","1") = "4"
    & ifeq("4","4","4","2") = "4"
    & ifeq("4","4","4","3") = "4"
    & ifeq("4","4","4","4") = "4"
    & ifeq("4","4","4","5") = "4"
    & ifeq("4","4","5","1") = "5"
    & ifeq("4","4","5","2") = "5"
    & ifeq("4","4","5","3") = "5"
    & ifeq("4","4","5","4") = "5"
    & ifeq("4","4","5","5") = "5"
    & ifeq("4","5","1","1") = "1"
    & ifeq("4","5","1","2") = "1"
    & ifeq("4","5","1","3") = "1"
    & ifeq("4","5","1","4") = "1"
    & ifeq("4","5","1","5") = "1"
    & ifeq("4","5","2","1") = "1"
    & ifeq("4","5","2","2") = "1"
    & ifeq("4","5","2","3") = "1"
    & ifeq("4","5","2","4") = "1"
    & ifeq("4","5","2","5") = "1"
    & ifeq("4","5","3","1") = "1"
    & ifeq("4","5","3","2") = "1"
    & ifeq("4","5","3","3") = "1"
    & ifeq("4","5","3","4") = "1"
    & ifeq("4","5","3","5") = "1"
    & ifeq("4","5","4","1") = "1"
    & ifeq("4","5","4","2") = "1"
    & ifeq("4","5","4","3") = "1"
    & ifeq("4","5","4","4") = "1"
    & ifeq("4","5","4","5") = "1"
    & ifeq("4","5","5","1") = "1"
    & ifeq("4","5","5","2") = "1"
    & ifeq("4","5","5","3") = "1"
    & ifeq("4","5","5","4") = "1"
    & ifeq("4","5","5","5") = "1"
    & ifeq("5","1","1","1") = "1"
    & ifeq("5","1","1","2") = "1"
    & ifeq("5","1","1","3") = "1"
    & ifeq("5","1","1","4") = "1"
    & ifeq("5","1","1","5") = "1"
    & ifeq("5","1","2","1") = "1"
    & ifeq("5","1","2","2") = "1"
    & ifeq("5","1","2","3") = "1"
    & ifeq("5","1","2","4") = "1"
    & ifeq("5","1","2","5") = "1"
    & ifeq("5","1","3","1") = "1"
    & ifeq("5","1","3","2") = "1"
    & ifeq("5","1","3","3") = "1"
    & ifeq("5","1","3","4") = "1"
    & ifeq("5","1","3","5") = "1"
    & ifeq("5","1","4","1") = "1"
    & ifeq("5","1","4","2") = "1"
    & ifeq("5","1","4","3") = "1"
    & ifeq("5","1","4","4") = "1"
    & ifeq("5","1","4","5") = "1"
    & ifeq("5","1","5","1") = "1"
    & ifeq("5","1","5","2") = "1"
    & ifeq("5","1","5","3") = "1"
    & ifeq("5","1","5","4") = "1"
    & ifeq("5","1","5","5") = "1"
    & ifeq("5","2","1","1") = "1"
    & ifeq("5","2","1","2") = "1"
    & ifeq("5","2","1","3") = "1"
    & ifeq("5","2","1","4") = "1"
    & ifeq("5","2","1","5") = "1"
    & ifeq("5","2","2","1") = "1"
    & ifeq("5","2","2","2") = "1"
    & ifeq("5","2","2","3") = "1"
    & ifeq("5","2","2","4") = "1"
    & ifeq("5","2","2","5") = "1"
    & ifeq("5","2","3","1") = "1"
    & ifeq("5","2","3","2") = "1"
    & ifeq("5","2","3","3") = "1"
    & ifeq("5","2","3","4") = "1"
    & ifeq("5","2","3","5") = "1"
    & ifeq("5","2","4","1") = "1"
    & ifeq("5","2","4","2") = "1"
    & ifeq("5","2","4","3") = "1"
    & ifeq("5","2","4","4") = "1"
    & ifeq("5","2","4","5") = "1"
    & ifeq("5","2","5","1") = "1"
    & ifeq("5","2","5","2") = "1"
    & ifeq("5","2","5","3") = "1"
    & ifeq("5","2","5","4") = "1"
    & ifeq("5","2","5","5") = "1"
    & ifeq("5","3","1","1") = "1"
    & ifeq("5","3","1","2") = "1"
    & ifeq("5","3","1","3") = "1"
    & ifeq("5","3","1","4") = "1"
    & ifeq("5","3","1","5") = "1"
    & ifeq("5","3","2","1") = "1"
    & ifeq("5","3","2","2") = "1"
    & ifeq("5","3","2","3") = "1"
    & ifeq("5","3","2","4") = "1"
    & ifeq("5","3","2","5") = "1"
    & ifeq("5","3","3","1") = "1"
    & ifeq("5","3","3","2") = "1"
    & ifeq("5","3","3","3") = "1"
    & ifeq("5","3","3","4") = "1"
    & ifeq("5","3","3","5") = "1"
    & ifeq("5","3","4","1") = "1"
    & ifeq("5","3","4","2") = "1"
    & ifeq("5","3","4","3") = "1"
    & ifeq("5","3","4","4") = "1"
    & ifeq("5","3","4","5") = "1"
    & ifeq("5","3","5","1") = "1"
    & ifeq("5","3","5","2") = "1"
    & ifeq("5","3","5","3") = "1"
    & ifeq("5","3","5","4") = "1"
    & ifeq("5","3","5","5") = "1"
    & ifeq("5","4","1","1") = "1"
    & ifeq("5","4","1","2") = "1"
    & ifeq("5","4","1","3") = "1"
    & ifeq("5","4","1","4") = "1"
    & ifeq("5","4","1","5") = "1"
    & ifeq("5","4","2","1") = "1"
    & ifeq("5","4","2","2") = "1"
    & ifeq("5","4","2","3") = "1"
    & ifeq("5","4","2","4") = "1"
    & ifeq("5","4","2","5") = "1"
    & ifeq("5","4","3","1") = "1"
    & ifeq("5","4","3","2") = "1"
    & ifeq("5","4","3","3") = "1"
    & ifeq("5","4","3","4") = "1"
    & ifeq("5","4","3","5") = "1"
    & ifeq("5","4","4","1") = "1"
    & ifeq("5","4","4","2") = "1"
    & ifeq("5","4","4","3") = "1"
    & ifeq("5","4","4","4") = "1"
    & ifeq("5","4","4","5") = "1"
    & ifeq("5","4","5","1") = "1"
    & ifeq("5","4","5","2") = "1"
    & ifeq("5","4","5","3") = "1"
    & ifeq("5","4","5","4") = "1"
    & ifeq("5","4","5","5") = "1"
    & ifeq("5","5","1","1") = "1"
    & ifeq("5","5","1","2") = "1"
    & ifeq("5","5","1","3") = "1"
    & ifeq("5","5","1","4") = "1"
    & ifeq("5","5","1","5") = "1"
    & ifeq("5","5","2","1") = "2"
    & ifeq("5","5","2","2") = "2"
    & ifeq("5","5","2","3") = "2"
    & ifeq("5","5","2","4") = "2"
    & ifeq("5","5","2","5") = "2"
    & ifeq("5","5","3","1") = "3"
    & ifeq("5","5","3","2") = "3"
    & ifeq("5","5","3","3") = "3"
    & ifeq("5","5","3","4") = "3"
    & ifeq("5","5","3","5") = "3"
    & ifeq("5","5","4","1") = "4"
    & ifeq("5","5","4","2") = "4"
    & ifeq("5","5","4","3") = "4"
    & ifeq("5","5","4","4") = "4"
    & ifeq("5","5","4","5") = "4"
    & ifeq("5","5","5","1") = "5"
    & ifeq("5","5","5","2") = "5"
    & ifeq("5","5","5","3") = "5"
    & ifeq("5","5","5","4") = "5"
    & ifeq("5","5","5","5") = "5" ) ).

fof(not,fi_functors,
    ( not("1") = "4"
    & not("2") = "3"
    & not("3") = "1"
    & not("4") = "5"
    & not("5") = "1" ) ).

fof(or,fi_functors,
    ( or("1","1") = "1"
    & or("1","2") = "2"
    & or("1","3") = "5"
    & or("1","4") = "2"
    & or("1","5") = "5"
    & or("2","1") = "4"
    & or("2","2") = "2"
    & or("2","3") = "5"
    & or("2","4") = "4"
    & or("2","5") = "3"
    & or("3","1") = "3"
    & or("3","2") = "5"
    & or("3","3") = "5"
    & or("3","4") = "5"
    & or("3","5") = "5"
    & or("4","1") = "4"
    & or("4","2") = "4"
    & or("4","3") = "5"
    & or("4","4") = "4"
    & or("4","5") = "5"
    & or("5","1") = "3"
    & or("5","2") = "5"
    & or("5","3") = "5"
    & or("5","4") = "5"
    & or("5","5") = "5" ) ).

fof(p,fi_functors,
    p = "1" ).

fof(q,fi_functors,
    q = "1" ).

fof(theorem,fi_functors,
    ( theorem("1") = "2"
    & theorem("2") = "1"
    & theorem("3") = "1"
    & theorem("4") = "1"
    & theorem("5") = "1" ) ).

fof(true,fi_functors,
    true = "1" ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LCL219-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.33  % Computer : n015.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 : Sat Jul  2 10:43:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  Paradox, version 4.0, 2010-06-29.
% 0.12/0.33  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.12/0.34  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.87/1.07  +++ BEGIN MODEL
% 0.87/1.07  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.87/1.08  +++ END MODEL
% 0.87/1.08  +++ RESULT: Satisfiable
% 0.87/1.08  SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------