%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET865-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n028.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 : Tue Jul 19 04:40:57 EDT 2022

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
    ( X18 != v_x(X18)
    | ~ c_in(X18,v_S,tc_set(t_a)) ),
    input ).

cnf(cls_conjecture_0,negated_conjecture,
    ( c_in(c_Union(X11,t_a),v_S,tc_set(t_a))
    | ~ c_in(X11,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    input ).

cnf(cls_Zorn_OHausdorff_0,axiom,
    c_in(c_Zorn_OHausdorff__1(X21,X20),c_Zorn_Omaxchain(X21,X20),tc_set(tc_set(X20))),
    input ).

cnf(cls_Set_OsubsetD_0,axiom,
    ( ~ c_in(X22,X25,X24)
    | ~ c_lessequals(X25,X23,tc_set(X24))
    | c_in(X22,X23,X24) ),
    input ).

cnf(cls_Zorn_Omaxchain__subset__chain_0,axiom,
    c_lessequals(c_Zorn_Omaxchain(X27,X26),c_Zorn_Ochain(X27,X26),tc_set(tc_set(tc_set(X26)))),
    input ).

cnf(c12,plain,
    ( ~ c_in(X82,c_Zorn_Omaxchain(X83,X81),tc_set(tc_set(X81)))
    | c_in(X82,c_Zorn_Ochain(X83,X81),tc_set(tc_set(X81))) ),
    inference(resolution,status(thm),[cls_Zorn_Omaxchain__subset__chain_0,cls_Set_OsubsetD_0]) ).

cnf(c24,plain,
    c_in(c_Zorn_OHausdorff__1(X84,X85),c_Zorn_Ochain(X84,X85),tc_set(tc_set(X85))),
    inference(resolution,status(thm),[c12,cls_Zorn_OHausdorff_0]) ).

cnf(c26,plain,
    c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
    inference(resolution,status(thm),[c24,cls_conjecture_0]) ).

cnf(c28,plain,
    c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a) != v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),
    inference(resolution,status(thm),[c26,cls_conjecture_3]) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( c_in(v_x(X19),v_S,tc_set(t_a))
    | ~ c_in(X19,v_S,tc_set(t_a)) ),
    input ).

cnf(c27,plain,
    c_in(v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),v_S,tc_set(t_a)),
    inference(resolution,status(thm),[c26,cls_conjecture_1]) ).

cnf(cls_Zorn_Omaxchain__Zorn_0,axiom,
    ( ~ c_in(X52,X54,tc_set(X53))
    | ~ c_in(X51,c_Zorn_Omaxchain(X54,X53),tc_set(tc_set(X53)))
    | ~ c_lessequals(c_Union(X51,X53),X52,tc_set(X53))
    | c_Union(X51,X53) = X52 ),
    input ).

cnf(c18,plain,
    ( ~ c_in(X86,X87,tc_set(X88))
    | ~ c_lessequals(c_Union(c_Zorn_OHausdorff__1(X87,X88),X88),X86,tc_set(X88))
    | c_Union(c_Zorn_OHausdorff__1(X87,X88),X88) = X86 ),
    inference(resolution,status(thm),[cls_Zorn_Omaxchain__Zorn_0,cls_Zorn_OHausdorff_0]) ).

cnf(cls_conjecture_2,negated_conjecture,
    ( c_lessequals(X35,v_x(X35),tc_set(t_a))
    | ~ c_in(X35,v_S,tc_set(t_a)) ),
    input ).

cnf(c30,plain,
    c_lessequals(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),tc_set(t_a)),
    inference(resolution,status(thm),[c26,cls_conjecture_2]) ).

cnf(c56,plain,
    ( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),v_S,tc_set(t_a))
    | c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a) = v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)) ),
    inference(resolution,status(thm),[c30,c18]) ).

cnf(c111,plain,
    c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a) = v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),
    inference(resolution,status(thm),[c56,c27]) ).

cnf(c123,plain,
    $false,
    inference(resolution,status(thm),[c111,c28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET865-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n028.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 : Sat Jul  9 17:46:11 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.54  # Version:  1.3
% 0.21/0.54  # SZS status Unsatisfiable
% 0.21/0.54  # SZS output start CNFRefutation
% See solution above
% 0.21/0.54  
% 0.21/0.54  # Initial clauses    : 19
% 0.21/0.54  # Processed clauses  : 80
% 0.21/0.54  # Factors computed   : 0
% 0.21/0.54  # Resolvents computed: 119
% 0.21/0.54  # Tautologies deleted: 1
% 0.21/0.54  # Forward subsumed   : 16
% 0.21/0.54  # Backward subsumed  : 1
% 0.21/0.54  # -------- CPU Time ---------
% 0.21/0.54  # User time          : 0.177 s
% 0.21/0.54  # System time        : 0.015 s
% 0.21/0.54  # Total time         : 0.192 s
%------------------------------------------------------------------------------