TSTP Solution File: PUZ004-1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : PUZ004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 : Tue Apr 30 20:36:49 EDT 2024

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   48 (   7 unt;   0 def)
%            Number of atoms       :   89 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   73 (  32   ~;  31   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   21 (  20 usr;  21 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( ~ dated
    | on_blue_paper ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ( in_third_person
    | ~ in_black_ink ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ( ~ can_be_read
    | ~ filed ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ( ~ on_one_sheet
    | dated ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ( crossed
    | in_black_ink ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ( ~ by_brown
    | begins_with_dear_sir ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ( ~ on_blue_paper
    | filed ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ( on_one_sheet
    | ~ crossed ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ( ~ begins_with_dear_sir
    | ~ in_third_person ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f12,negated_conjecture,
    can_be_read,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,plain,
    ( ~ dated
    | on_blue_paper ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f15,plain,
    ( in_third_person
    | ~ in_black_ink ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f16,plain,
    ( ~ can_be_read
    | ~ filed ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f17,plain,
    ( ~ on_one_sheet
    | dated ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f18,plain,
    ( crossed
    | in_black_ink ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f19,plain,
    ( ~ by_brown
    | begins_with_dear_sir ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f20,plain,
    ( ~ on_blue_paper
    | filed ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f21,plain,
    ( on_one_sheet
    | ~ crossed ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f22,plain,
    ( ~ begins_with_dear_sir
    | ~ in_third_person ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f23,plain,
    by_brown,
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f24,plain,
    can_be_read,
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f25,plain,
    ( spl0_0
  <=> dated ),
    introduced(split_symbol_definition) ).

fof(f28,plain,
    ( spl0_1
  <=> on_blue_paper ),
    introduced(split_symbol_definition) ).

fof(f31,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f13,f25,f28]) ).

fof(f32,plain,
    ( spl0_2
  <=> in_third_person ),
    introduced(split_symbol_definition) ).

fof(f35,plain,
    ( spl0_3
  <=> in_black_ink ),
    introduced(split_symbol_definition) ).

fof(f39,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f15,f32,f35]) ).

fof(f40,plain,
    ( spl0_4
  <=> can_be_read ),
    introduced(split_symbol_definition) ).

fof(f42,plain,
    ( ~ can_be_read
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f40]) ).

fof(f43,plain,
    ( spl0_5
  <=> filed ),
    introduced(split_symbol_definition) ).

fof(f46,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f16,f40,f43]) ).

fof(f47,plain,
    ( spl0_6
  <=> on_one_sheet ),
    introduced(split_symbol_definition) ).

fof(f50,plain,
    ( ~ spl0_6
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f17,f47,f25]) ).

fof(f51,plain,
    ( spl0_7
  <=> crossed ),
    introduced(split_symbol_definition) ).

fof(f54,plain,
    ( spl0_7
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f18,f51,f35]) ).

fof(f55,plain,
    ( spl0_8
  <=> by_brown ),
    introduced(split_symbol_definition) ).

fof(f57,plain,
    ( ~ by_brown
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f55]) ).

fof(f58,plain,
    ( spl0_9
  <=> begins_with_dear_sir ),
    introduced(split_symbol_definition) ).

fof(f61,plain,
    ( ~ spl0_8
    | spl0_9 ),
    inference(split_clause,[status(thm)],[f19,f55,f58]) ).

fof(f62,plain,
    ( ~ spl0_1
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f20,f28,f43]) ).

fof(f63,plain,
    ( spl0_6
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f21,f47,f51]) ).

fof(f64,plain,
    ( ~ spl0_9
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f22,f58,f32]) ).

fof(f65,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f42,f24]) ).

fof(f66,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f65]) ).

fof(f67,plain,
    ( $false
    | spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f57,f23]) ).

fof(f68,plain,
    spl0_8,
    inference(contradiction_clause,[status(thm)],[f67]) ).

fof(f69,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f31,f39,f46,f50,f54,f61,f62,f63,f64,f66,f68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Apr 29 22:07:11 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 0.12/0.35  % Refutation found
% 0.12/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.36  % Elapsed time: 0.016288 seconds
% 0.12/0.36  % CPU time: 0.028387 seconds
% 0.12/0.36  % Total memory used: 1.907 MB
% 0.12/0.36  % Net memory used: 1.797 MB
%------------------------------------------------------------------------------