%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET859-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% 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 :   18 (  11   ~;   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(f1,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/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,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(f3,negated_conjecture,
    c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,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)],[f1]) ).

fof(f6,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)],[f5]) ).

fof(f7,plain,
    ! [X0,X1,X2] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,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)],[f3]) ).

fof(f9,plain,
    ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
      | ~ c_lessequals(v_n,X0,tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f6,f9]) ).

fof(f11,plain,
    ! [X0] : ~ c_lessequals(c_Zorn_Osucc(X0,v_n,t_a),v_m,tc_set(tc_set(t_a))),
    inference(resolution,[status(thm)],[f10,f7]) ).

fof(f12,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f8,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET859-2 : 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 : n027.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 10:41:18 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.58  % Elapsed time: 0.022699 seconds
% 0.23/0.58  % CPU time: 0.017731 seconds
% 0.23/0.58  % Memory used: 1.780 MB
%------------------------------------------------------------------------------