TSTP Solution File: PUZ133+3 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : PUZ133+3 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n025.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 18:23:34 EDT 2022

% Result   : CounterSatisfiable 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(le,fi_predicates,
    ( ( le("1","1")
    <=> $true )
    & ( le("1","2")
    <=> $true )
    & ( le("1","3")
    <=> $false )
    & ( le("1","4")
    <=> $true )
    & ( le("2","1")
    <=> $false )
    & ( le("2","2")
    <=> $true )
    & ( le("2","3")
    <=> $false )
    & ( le("2","4")
    <=> $true )
    & ( le("3","1")
    <=> $true )
    & ( le("3","2")
    <=> $true )
    & ( le("3","3")
    <=> $true )
    & ( le("3","4")
    <=> $true )
    & ( le("4","1")
    <=> $false )
    & ( le("4","2")
    <=> $false )
    & ( le("4","3")
    <=> $false )
    & ( le("4","4")
    <=> $true ) ) ).

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

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

fof(n,fi_functors,
    n = "2" ).

fof(n0,fi_functors,
    n0 = "3" ).

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

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

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

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

fof(queens_p,fi_predicates,
    ( queens_p
  <=> $true ) ).

fof(queens_q,fi_predicates,
    ( queens_q
  <=> $false ) ).

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

fof(sK3_queens_q_J,fi_functors,
    sK3_queens_q_J = "2" ).

fof(sK4_queens_q_I,fi_functors,
    sK4_queens_q_I = "1" ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : PUZ133+3 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.33  % Computer : n025.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 01:43:11 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/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.12/0.34  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  +++ BEGIN MODEL
% 0.12/0.37  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: CounterSatisfiable
% 0.12/0.38  SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------