%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET822-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:35:16 EDT 2023

% Result   : Unsatisfiable 0.26s 0.64s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   8 unt;   0 def)
%            Number of atoms       :   30 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  15   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   34 (;  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [V_x,V_xo,T_a] :
      ( ~ c_in(V_x,c_Datatype_Oo2s(V_xo,T_a),T_a)
      | V_xo = c_Datatype_Ooption_OSome(V_x,T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [V_x,T_a] : c_in(V_x,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a),T_a),T_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [V_a,T_a,V_a_H] :
      ( c_Datatype_Ooption_OSome(V_a,T_a) != c_Datatype_Ooption_OSome(V_a_H,T_a)
      | V_a = V_a_H ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1358,negated_conjecture,
    v_P(v_f(v_b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1359,negated_conjecture,
    ! [V_U,V_V] :
      ( ~ c_in(v_f(V_U),V_V,tc_IntDef_Oint)
      | c_in(v_x(V_U,V_V),V_V,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1360,negated_conjecture,
    ! [V_U,V_V] :
      ( ~ c_in(v_f(V_U),V_V,tc_IntDef_Oint)
      | ~ v_P(v_x(V_U,V_V)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1361,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2)
      | X1 = c_Datatype_Ooption_OSome(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f1362,plain,
    ! [X0,X1] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f1369,plain,
    ! [V_a,V_a_H] :
      ( ! [T_a] : c_Datatype_Ooption_OSome(V_a,T_a) != c_Datatype_Ooption_OSome(V_a_H,T_a)
      | V_a = V_a_H ),
    inference(miniscoping,[status(esa)],[f7]) ).

fof(f1370,plain,
    ! [X0,X1,X2] :
      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X2,X1)
      | X0 = X2 ),
    inference(cnf_transformation,[status(esa)],[f1369]) ).

fof(f2836,plain,
    v_P(v_f(v_b)),
    inference(cnf_transformation,[status(esa)],[f1358]) ).

fof(f2837,plain,
    ! [X0,X1] :
      ( ~ c_in(v_f(X0),X1,tc_IntDef_Oint)
      | c_in(v_x(X0,X1),X1,tc_IntDef_Oint) ),
    inference(cnf_transformation,[status(esa)],[f1359]) ).

fof(f2838,plain,
    ! [X0,X1] :
      ( ~ c_in(v_f(X0),X1,tc_IntDef_Oint)
      | ~ v_P(v_x(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f1360]) ).

fof(f2839,plain,
    ! [X0,X1] :
      ( X0 = c_Datatype_Ooption_OSome(v_x(X1,c_Datatype_Oo2s(X0,tc_IntDef_Oint)),tc_IntDef_Oint)
      | ~ c_in(v_f(X1),c_Datatype_Oo2s(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(resolution,[status(thm)],[f1361,f2837]) ).

fof(f2840,plain,
    ! [X0] : ~ v_P(v_x(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_f(X0),tc_IntDef_Oint),tc_IntDef_Oint))),
    inference(resolution,[status(thm)],[f1362,f2838]) ).

fof(f2848,plain,
    ! [X0,X1] :
      ( X0 = v_x(X1,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,tc_IntDef_Oint),tc_IntDef_Oint))
      | ~ c_in(v_f(X1),c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(resolution,[status(thm)],[f1370,f2839]) ).

fof(f2866,plain,
    ! [X0] : v_f(X0) = v_x(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_f(X0),tc_IntDef_Oint),tc_IntDef_Oint)),
    inference(resolution,[status(thm)],[f2848,f1362]) ).

fof(f2869,plain,
    ! [X0] : ~ v_P(v_f(X0)),
    inference(backward_demodulation,[status(thm)],[f2866,f2840]) ).

fof(f2870,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f2836,f2869]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET822-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n001.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 10:42:00 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.40  % Drodi V3.5.1
% 0.26/0.64  % Refutation found
% 0.26/0.64  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.26/0.64  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.64  % Elapsed time: 0.068265 seconds
% 0.26/0.64  % CPU time: 0.073137 seconds
% 0.26/0.64  % Memory used: 6.501 MB
%------------------------------------------------------------------------------