%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : KRS008-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n024.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 03:23:20 EDT 2022

% Result   : Satisfiable 0.20s 0.39s
% Output   : FiniteModel 0.20s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    3

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

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

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

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

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

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

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

fof(r,fi_predicates,
    ( ( r("1","1")
    <=> $true )
    & ( r("1","2")
    <=> $true )
    & ( r("1","3")
    <=> $true )
    & ! [X2] :
        ( r("2",X2)
      <=> r("1",X2) )
    & ! [X2] :
        ( r("3",X2)
      <=> r("2",X2) ) ) ).

fof(r2most,fi_predicates,
    ( ( r2most("1")
    <=> $true )
    & ( r2most("2")
    <=> r2most("1") )
    & ( r2most("3")
    <=> r2most("2") ) ) ).

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

fof(s1most,fi_predicates,
    ( ( s1most("1")
    <=> $false )
    & ( s1most("2")
    <=> $false )
    & ( s1most("3")
    <=> $true ) ) ).

fof(s2least,fi_predicates,
    ( ( s2least("1")
    <=> $true )
    & ( s2least("2")
    <=> $true )
    & ( s2least("3")
    <=> $false ) ) ).

fof(u1r1,fi_functors,
    ( u1r1("1") = "1"
    & u1r1("2") = "1"
    & u1r1("3") = "3" ) ).

fof(u1r2,fi_functors,
    ( u1r2("1") = "3"
    & u1r2("2") = "3"
    & u1r2("3") = "2" ) ).

fof(u3r1,fi_functors,
    ( u3r1("1") = "2"
    & u3r1("2") = "1"
    & u3r1("3") = "3" ) ).

fof(u3r2,fi_functors,
    ( u3r2("1") = "1"
    & u3r2("2") = "3"
    & u3r2("3") = "1" ) ).

fof(u4r1,fi_functors,
    ( u4r1("1") = "1"
    & u4r1("2") = u4r1("1")
    & u4r1("3") = u4r1("2") ) ).

fof(u4r2,fi_functors,
    ( u4r2("1") = "3"
    & u4r2("2") = u4r2("1")
    & u4r2("3") = u4r2("2") ) ).

fof(u5r1,fi_functors,
    ( u5r1("1") = "1"
    & u5r1("2") = u5r1("1")
    & u5r1("3") = u5r1("2") ) ).

fof(u5r2,fi_functors,
    ( u5r2("1") = "1"
    & u5r2("2") = u5r2("1")
    & u5r2("3") = u5r2("2") ) ).

fof(u5r3,fi_functors,
    ( u5r3("1") = "1"
    & u5r3("2") = u5r3("1")
    & u5r3("3") = u5r3("2") ) ).

fof(u6r1,fi_functors,
    ( u6r1("1") = "2"
    & u6r1("2") = u6r1("1")
    & u6r1("3") = u6r1("2") ) ).

fof(u6r2,fi_functors,
    ( u6r2("1") = "1"
    & u6r2("2") = u6r2("1")
    & u6r2("3") = u6r2("2") ) ).

fof(u6r3,fi_functors,
    ( u6r3("1") = "3"
    & u6r3("2") = u6r3("1")
    & u6r3("3") = u6r3("2") ) ).

fof(u6r4,fi_functors,
    ( u6r4("1") = "1"
    & u6r4("2") = u6r4("1")
    & u6r4("3") = u6r4("2") ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : KRS008-1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun  7 14:34:04 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  Paradox, version 4.0, 2010-06-29.
% 0.13/0.35  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.13/0.36  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.38  +++ BEGIN MODEL
% 0.20/0.38  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.39  +++ END MODEL
% 0.20/0.39  +++ RESULT: Satisfiable
% 0.20/0.39  SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------