%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : ROB012-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n021.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 20:55:16 EDT 2022

% Result   : Satisfiable 0.12s 0.38s
% Output   : FiniteModel 0.12s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    4

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

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

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

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

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

fof(k,fi_functors,
    k = "4" ).

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

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

fof(one,fi_functors,
    one = "4" ).

fof(positive_integer,fi_predicates,
    ( ( positive_integer("1")
    <=> $false )
    & ( positive_integer("2")
    <=> $true )
    & ( positive_integer("3")
    <=> $true )
    & ( positive_integer("4")
    <=> $true ) ) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ROB012-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.06/0.12  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.33  % Computer : n021.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 : Thu Jun  9 13:00:23 EDT 2022
% 0.12/0.33  % 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
% 0.12/0.34  Reading 'Axioms/ROB001-0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax') OK
% 0.12/0.34  Reading 'Axioms/ROB001-1.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/ROB001-1.ax') OK
% 0.12/0.35  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  +++ BEGIN MODEL
% 0.12/0.38  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.38  +++ END MODEL
% 0.12/0.38  +++ RESULT: Satisfiable
% 0.12/0.38  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------