%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV854-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 : Tue Apr 30 20:49:26 EDT 2024

% Result   : Unsatisfiable 0.16s 0.48s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   8   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-4 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f731,axiom,
    ! [V_n,V_P,V_pn,V_Q,T_a] :
      ( c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,V_n),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),T_a)
      | ~ c_Hoare__Mirabelle_Otriple__valid(V_n,c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a),T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f734,negated_conjecture,
    hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f735,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f738,negated_conjecture,
    ! [V_x] :
      ( c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,V_x),c_Option_Othe(c_Com_Obody(V_x),tc_Com_Ocom),hAPP(v_Q,V_x),t_a),t_a)
      | ~ hBOOL(c_in(V_x,v_Procs,tc_Com_Opname)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1874,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X0),c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Com_Ocom_OBODY(X2),X3,X4),X4)
      | ~ c_Hoare__Mirabelle_Otriple__valid(X0,c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Option_Othe(c_Com_Obody(X2),tc_Com_Ocom),X3,X4),X4) ),
    inference(cnf_transformation,[status(esa)],[f731]) ).

fof(f1877,plain,
    hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
    inference(cnf_transformation,[status(esa)],[f734]) ).

fof(f1878,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
    inference(cnf_transformation,[status(esa)],[f735]) ).

fof(f1881,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X0),c_Option_Othe(c_Com_Obody(X0),tc_Com_Ocom),hAPP(v_Q,X0),t_a),t_a)
      | ~ hBOOL(c_in(X0,v_Procs,tc_Com_Opname)) ),
    inference(cnf_transformation,[status(esa)],[f738]) ).

fof(f1912,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom),hAPP(v_Q,v_x),t_a),t_a),
    inference(resolution,[status(thm)],[f1874,f1878]) ).

fof(f1913,plain,
    ~ hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
    inference(resolution,[status(thm)],[f1912,f1881]) ).

fof(f1914,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1913,f1877]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWV854-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n023.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue Apr 30 01:11:40 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.10/0.36  % Drodi V3.6.0
% 0.16/0.48  % Refutation found
% 0.16/0.48  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.50  % Elapsed time: 0.172036 seconds
% 0.16/0.50  % CPU time: 1.040249 seconds
% 0.16/0.50  % Total memory used: 106.730 MB
% 0.16/0.50  % Net memory used: 106.359 MB
%------------------------------------------------------------------------------