%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET845-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 12:35:21 EDT 2023

% Result   : Unsatisfiable 0.07s 0.27s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (  11 unt;   0 def)
%            Number of atoms       :   50 (  12 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   42 (  21   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   32 (;  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [V_B,V_A,T_a] :
      ( ~ c_in(V_B,V_A,tc_set(T_a))
      | c_lessequals(V_B,c_Union(V_A,T_a),tc_set(T_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [V_B,V_A,T_a] :
      ( ~ c_lessequals(V_B,V_A,tc_set(T_a))
      | ~ c_lessequals(V_A,V_B,tc_set(T_a))
      | V_A = V_B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [V_x,V_S,T_a] : c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [V_x,V_S,T_a] :
      ( ~ c_in(V_x,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
      | c_in(c_Zorn_Osucc(V_S,V_x,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    v_m != c_Zorn_Osucc(v_S,v_m,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(X0,X1,tc_set(X2))
      | c_lessequals(X0,c_Union(X1,X2),tc_set(X2)) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f9,plain,
    ! [V_B,V_A] :
      ( ! [T_a] :
          ( ~ c_lessequals(V_B,V_A,tc_set(T_a))
          | ~ c_lessequals(V_A,V_B,tc_set(T_a)) )
      | V_A = V_B ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(X0,X1,tc_set(X2))
      | ~ c_lessequals(X1,X0,tc_set(X2))
      | X1 = X0 ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f11,plain,
    ! [X0,X1,X2] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f12,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f13,plain,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f14,plain,
    v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f15,plain,
    v_m != c_Zorn_Osucc(v_S,v_m,t_a),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
    inference(paramodulation,[status(thm)],[f14,f8]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(c_Zorn_Osucc(X0,X1,X2),X1,tc_set(tc_set(X2)))
      | X1 = c_Zorn_Osucc(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f10,f11]) ).

fof(f20,plain,
    ! [X0] :
      ( v_m = c_Zorn_Osucc(X0,v_m,t_a)
      | ~ c_in(c_Zorn_Osucc(X0,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f19,f16]) ).

fof(f41,plain,
    ( spl0_4
  <=> v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
    introduced(split_symbol_definition) ).

fof(f42,plain,
    ( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f41]) ).

fof(f44,plain,
    ( spl0_5
  <=> c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    introduced(split_symbol_definition) ).

fof(f46,plain,
    ( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f44]) ).

fof(f47,plain,
    ( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
    | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f20,f12]) ).

fof(f48,plain,
    ( spl0_4
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f47,f41,f44]) ).

fof(f49,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f46,f13]) ).

fof(f50,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f49]) ).

fof(f51,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f42,f15]) ).

fof(f52,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f51]) ).

fof(f53,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f48,f50,f52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : SET845-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n004.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 10:15:52 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.07/0.27  % Drodi V3.5.1
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.50  % Elapsed time: 0.025915 seconds
% 0.10/0.50  % CPU time: 0.013722 seconds
% 0.10/0.50  % Memory used: 2.280 MB
%------------------------------------------------------------------------------