%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET859-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 12:35:24 EDT 2023

% Result   : Unsatisfiable 0.20s 0.42s
% 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   :   22 (;  22   !;   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(f1367,negated_conjecture,
    c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1368,negated_conjecture,
    ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2845,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(f2846,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)],[f2845]) ).

fof(f2847,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(f2856,plain,
    c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))),
    inference(cnf_transformation,[status(esa)],[f1367]) ).

fof(f2857,plain,
    ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    inference(cnf_transformation,[status(esa)],[f1368]) ).

fof(f2871,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
      | c_lessequals(X1,X3,tc_set(tc_set(X2))) ),
    inference(resolution,[status(thm)],[f2846,f2847]) ).

fof(f2872,plain,
    c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    inference(resolution,[status(thm)],[f2871,f2856]) ).

fof(f2873,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2872,f2857]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET859-1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n011.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 10:22:27 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.39  % Drodi V3.5.1
% 0.20/0.42  % Refutation found
% 0.20/0.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.42  % Elapsed time: 0.070914 seconds
% 0.20/0.42  % CPU time: 0.104989 seconds
% 0.20/0.42  % Memory used: 25.962 MB
%------------------------------------------------------------------------------