%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET850-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 12:35:22 EDT 2023

% Result   : Unsatisfiable 0.20s 0.61s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   20 (;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1358,axiom,
    ! [V_B,V_C,T_a,V_A] :
      ( ~ c_lessequals(V_B,V_C,tc_set(T_a))
      | ~ c_lessequals(V_A,V_B,tc_set(T_a))
      | c_lessequals(V_A,V_C,tc_set(T_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1359,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/sandbox/benchmark/theBenchmark.p') ).

fof(f1360,negated_conjecture,
    c_lessequals(v_x,v_y,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1361,negated_conjecture,
    ~ c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2837,plain,
    ! [V_C,T_a,V_A] :
      ( ! [V_B] :
          ( ~ c_lessequals(V_B,V_C,tc_set(T_a))
          | ~ c_lessequals(V_A,V_B,tc_set(T_a)) )
      | c_lessequals(V_A,V_C,tc_set(T_a)) ),
    inference(miniscoping,[status(esa)],[f1358]) ).

fof(f2838,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_lessequals(X0,X1,tc_set(X2))
      | ~ c_lessequals(X3,X0,tc_set(X2))
      | c_lessequals(X3,X1,tc_set(X2)) ),
    inference(cnf_transformation,[status(esa)],[f2837]) ).

fof(f2839,plain,
    ! [X0,X1,X2] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
    inference(cnf_transformation,[status(esa)],[f1359]) ).

fof(f2840,plain,
    c_lessequals(v_x,v_y,tc_set(tc_set(t_a))),
    inference(cnf_transformation,[status(esa)],[f1360]) ).

fof(f2841,plain,
    ~ c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))),
    inference(cnf_transformation,[status(esa)],[f1361]) ).

fof(f2853,plain,
    ! [X0] :
      ( ~ c_lessequals(v_y,X0,tc_set(tc_set(t_a)))
      | c_lessequals(v_x,X0,tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f2838,f2840]) ).

fof(f2855,plain,
    ! [X0] : c_lessequals(v_x,c_Zorn_Osucc(X0,v_y,t_a),tc_set(tc_set(t_a))),
    inference(resolution,[status(thm)],[f2853,f2839]) ).

fof(f2857,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f2841,f2855]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SET850-1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n013.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 10:13:20 EDT 2023
% 0.16/0.31  % CPUTime  : 
% 0.16/0.35  % Drodi V3.5.1
% 0.20/0.61  % Refutation found
% 0.20/0.61  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.61  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.61  % Elapsed time: 0.083724 seconds
% 0.20/0.61  % CPU time: 0.048630 seconds
% 0.20/0.61  % Memory used: 6.468 MB
%------------------------------------------------------------------------------