TSTP Solution File: PUZ020-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : PUZ020-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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  : 300s
% DateTime : Wed May 31 12:31:48 EDT 2023

% Result   : Unsatisfiable 0.13s 0.53s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   26 (   7 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   41 (  18   ~;  19   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   5 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    2 (;   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X] :
      ( ~ person(X)
      | ~ a_truth(statement_by(X))
      | knight(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,hypothesis,
    person(husband),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,hypothesis,
    ( a_truth(statement_by(husband))
    | knight(wife) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,hypothesis,
    ( ~ knight(wife)
    | a_truth(statement_by(husband)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ~ knight(husband),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,plain,
    ! [X0] :
      ( ~ person(X0)
      | ~ a_truth(statement_by(X0))
      | knight(X0) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f34,plain,
    person(husband),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f40,plain,
    ( a_truth(statement_by(husband))
    | knight(wife) ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f41,plain,
    ( ~ knight(wife)
    | a_truth(statement_by(husband)) ),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f42,plain,
    ~ knight(husband),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f43,plain,
    ( spl0_0
  <=> a_truth(statement_by(husband)) ),
    introduced(split_symbol_definition) ).

fof(f44,plain,
    ( a_truth(statement_by(husband))
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f43]) ).

fof(f46,plain,
    ( spl0_1
  <=> knight(husband) ),
    introduced(split_symbol_definition) ).

fof(f47,plain,
    ( knight(husband)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f46]) ).

fof(f49,plain,
    ( spl0_2
  <=> knight(wife) ),
    introduced(split_symbol_definition) ).

fof(f54,plain,
    ( spl0_0
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f40,f43,f49]) ).

fof(f55,plain,
    ( ~ spl0_2
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f41,f49,f43]) ).

fof(f62,plain,
    ( spl0_3
  <=> person(husband) ),
    introduced(split_symbol_definition) ).

fof(f64,plain,
    ( ~ person(husband)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f62]) ).

fof(f70,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f64,f34]) ).

fof(f71,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f70]) ).

fof(f72,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f47,f42]) ).

fof(f73,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f72]) ).

fof(f74,plain,
    ( ~ person(husband)
    | knight(husband)
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f44,f28]) ).

fof(f75,plain,
    ( ~ spl0_3
    | spl0_1
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f74,f62,f46,f43]) ).

fof(f77,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f54,f55,f71,f73,f75]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : PUZ020-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30  % Computer : n010.cluster.edu
% 0.08/0.30  % Model    : x86_64 x86_64
% 0.08/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30  % Memory   : 8042.1875MB
% 0.08/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30  % CPULimit : 300
% 0.08/0.30  % WCLimit  : 300
% 0.08/0.30  % DateTime : Tue May 30 10:21:37 EDT 2023
% 0.13/0.30  % CPUTime  : 
% 0.13/0.31  % Drodi V3.5.1
% 0.13/0.53  % Refutation found
% 0.13/0.53  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.53  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.53  % Elapsed time: 0.009476 seconds
% 0.13/0.53  % CPU time: 0.010314 seconds
% 0.13/0.53  % Memory used: 2.879 MB
%------------------------------------------------------------------------------