%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV856-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 12:44:07 EDT 2023

% Result   : Unsatisfiable 0.31s 0.61s
% Output   : CNFRefutation 0.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   20 (;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f330,axiom,
    ! [T_a,V_t,V_B,V_A] :
      ( hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B))
      | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A))
      | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f528,axiom,
    ! [T_a,V_A] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f573,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f574,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f575,negated_conjecture,
    ! [V_xb] :
      ( c_Hoare__Mirabelle_Otriple__valid(v_x,V_xb,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xb),v_Ga)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1128,plain,
    ! [T_a,V_B,V_A] :
      ( ! [V_t] :
          ( hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B))
          | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A)) )
      | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ),
    inference(miniscoping,[status(esa)],[f330]) ).

fof(f1129,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
      | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
      | ~ c_lessequals(X3,X2,tc_fun(X0,tc_bool)) ),
    inference(cnf_transformation,[status(esa)],[f1128]) ).

fof(f1445,plain,
    ! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
    inference(cnf_transformation,[status(esa)],[f528]) ).

fof(f1507,plain,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
    inference(cnf_transformation,[status(esa)],[f573]) ).

fof(f1508,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    inference(cnf_transformation,[status(esa)],[f574]) ).

fof(f1509,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga)) ),
    inference(cnf_transformation,[status(esa)],[f575]) ).

fof(f1570,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),X0))
      | ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),X0,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
    inference(resolution,[status(thm)],[f1129,f1507]) ).

fof(f1571,plain,
    ! [X0] : hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),X0)),
    inference(forward_subsumption_resolution,[status(thm)],[f1570,f1445]) ).

fof(f1572,plain,
    c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    inference(resolution,[status(thm)],[f1571,f1509]) ).

fof(f1573,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1572,f1508]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV856-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n009.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
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue May 30 11:38:16 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.19/0.38  % Drodi V3.5.1
% 0.31/0.61  % Refutation found
% 0.31/0.61  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.31/0.61  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.31/0.61  % Elapsed time: 0.056087 seconds
% 0.31/0.61  % CPU time: 0.101794 seconds
% 0.31/0.61  % Memory used: 21.932 MB
%------------------------------------------------------------------------------