%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET864-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 12:35:25 EDT 2023

% Result   : Unsatisfiable 0.20s 0.40s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   34 (   8 unt;   0 def)
%            Number of atoms       :   71 (  12 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   73 (  36   ~;  33   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (;  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f310,axiom,
    ! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1359,axiom,
    ! [V_u,V_S,T_a,V_c] :
      ( ~ c_in(V_u,V_S,tc_set(T_a))
      | ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a)))
      | ~ c_lessequals(c_Union(V_c,T_a),V_u,tc_set(T_a))
      | c_Union(V_c,T_a) = V_u ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1361,negated_conjecture,
    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1363,negated_conjecture,
    c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1364,negated_conjecture,
    ! [V_U] :
      ( c_in(v_x(V_U),v_S,tc_set(t_a))
      | ~ c_in(V_U,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1365,negated_conjecture,
    ! [V_U] :
      ( c_lessequals(V_U,v_x(V_U),tc_set(t_a))
      | ~ c_in(V_U,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1366,negated_conjecture,
    ! [V_U] :
      ( V_U != v_x(V_U)
      | ~ c_in(V_U,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1785,plain,
    ! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
    inference(cnf_transformation,[status(esa)],[f310]) ).

fof(f2843,plain,
    ! [V_u,T_a,V_c] :
      ( ! [V_S] :
          ( ~ c_in(V_u,V_S,tc_set(T_a))
          | ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a))) )
      | ~ c_lessequals(c_Union(V_c,T_a),V_u,tc_set(T_a))
      | c_Union(V_c,T_a) = V_u ),
    inference(miniscoping,[status(esa)],[f1359]) ).

fof(f2844,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,X1,tc_set(X2))
      | ~ c_in(X3,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
      | ~ c_lessequals(c_Union(X3,X2),X0,tc_set(X2))
      | c_Union(X3,X2) = X0 ),
    inference(cnf_transformation,[status(esa)],[f2843]) ).

fof(f2846,plain,
    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    inference(cnf_transformation,[status(esa)],[f1361]) ).

fof(f2848,plain,
    c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    inference(cnf_transformation,[status(esa)],[f1363]) ).

fof(f2849,plain,
    ! [X0] :
      ( c_in(v_x(X0),v_S,tc_set(t_a))
      | ~ c_in(X0,v_S,tc_set(t_a)) ),
    inference(cnf_transformation,[status(esa)],[f1364]) ).

fof(f2850,plain,
    ! [X0] :
      ( c_lessequals(X0,v_x(X0),tc_set(t_a))
      | ~ c_in(X0,v_S,tc_set(t_a)) ),
    inference(cnf_transformation,[status(esa)],[f1365]) ).

fof(f2851,plain,
    ! [X0] :
      ( X0 != v_x(X0)
      | ~ c_in(X0,v_S,tc_set(t_a)) ),
    inference(cnf_transformation,[status(esa)],[f1366]) ).

fof(f2860,plain,
    ! [X0] :
      ( ~ c_in(X0,v_S,tc_set(t_a))
      | ~ c_lessequals(c_Union(v_c,t_a),X0,tc_set(t_a))
      | c_Union(v_c,t_a) = X0 ),
    inference(resolution,[status(thm)],[f2844,f2846]) ).

fof(f2861,plain,
    ( spl0_0
  <=> c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)) ),
    introduced(split_symbol_definition) ).

fof(f2863,plain,
    ( ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f2861]) ).

fof(f2864,plain,
    ( spl0_1
  <=> c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)) ),
    introduced(split_symbol_definition) ).

fof(f2865,plain,
    ( c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a))
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f2864]) ).

fof(f2867,plain,
    ( spl0_2
  <=> c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) ),
    introduced(split_symbol_definition) ).

fof(f2869,plain,
    ( ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f2867]) ).

fof(f2870,plain,
    ( ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
    | c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a))
    | ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) ),
    inference(resolution,[status(thm)],[f2860,f2850]) ).

fof(f2871,plain,
    ( ~ spl0_0
    | spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f2870,f2861,f2864,f2867]) ).

fof(f2872,plain,
    ( spl0_3
  <=> c_Union(v_c,t_a) = c_Union(v_c,t_a) ),
    introduced(split_symbol_definition) ).

fof(f2875,plain,
    ( ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
    | c_Union(v_c,t_a) = c_Union(v_c,t_a) ),
    inference(resolution,[status(thm)],[f2860,f1785]) ).

fof(f2876,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f2875,f2867,f2872]) ).

fof(f2877,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2869,f2848]) ).

fof(f2878,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f2877]) ).

fof(f2880,plain,
    ( ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
    | spl0_0 ),
    inference(resolution,[status(thm)],[f2863,f2849]) ).

fof(f2881,plain,
    ( ~ spl0_2
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f2880,f2867,f2861]) ).

fof(f2893,plain,
    ( c_Union(v_c,t_a) != c_Union(v_c,t_a)
    | ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
    | ~ spl0_1 ),
    inference(paramodulation,[status(thm)],[f2865,f2851]) ).

fof(f2894,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f2893,f2872,f2867,f2864]) ).

fof(f2895,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2871,f2876,f2878,f2881,f2894]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET864-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:21:48 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.39  % Drodi V3.5.1
% 0.20/0.40  % Refutation found
% 0.20/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.42  % Elapsed time: 0.068666 seconds
% 0.20/0.42  % CPU time: 0.107320 seconds
% 0.20/0.42  % Memory used: 25.952 MB
%------------------------------------------------------------------------------