TSTP Solution File: SWV879-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV879-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : Tue Apr 30 20:49:29 EDT 2024

% Result   : Unsatisfiable 6.60s 1.28s
% Output   : CNFRefutation 6.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   34 (  13 unt;   0 def)
%            Number of atoms       :   58 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   49 (  25   ~;  21   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-4 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f616,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(f640,axiom,
    ! [V_G,V_ts] :
      ( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
      | ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f647,axiom,
    ! [V_x,V_A,T_a,V_B] :
      ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
      | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
      | ~ hBOOL(c_in(V_x,V_B,T_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f857,axiom,
    ! [V_x,V_A,T_aa,V_f,T_a] :
      ( ~ hBOOL(c_in(V_x,V_A,T_aa))
      | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f862,negated_conjecture,
    v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f863,negated_conjecture,
    hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f864,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1935,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)],[f616]) ).

fof(f1973,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(v_P,X0),X1))
      | ~ c_lessequals(X1,X0,tc_fun(t_a,tc_bool)) ),
    inference(cnf_transformation,[status(esa)],[f640]) ).

fof(f1983,plain,
    ! [V_x,T_a,V_B] :
      ( ! [V_A] :
          ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
          | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) )
      | ~ hBOOL(c_in(V_x,V_B,T_a)) ),
    inference(miniscoping,[status(esa)],[f647]) ).

fof(f1984,plain,
    ! [X0,X1,X2,X3] :
      ( c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))
      | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
      | ~ hBOOL(c_in(X0,X3,X2)) ),
    inference(cnf_transformation,[status(esa)],[f1983]) ).

fof(f2302,plain,
    ! [V_x,V_A,T_aa] :
      ( ~ hBOOL(c_in(V_x,V_A,T_aa))
      | ! [V_f,T_a] : hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ),
    inference(miniscoping,[status(esa)],[f857]) ).

fof(f2303,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ hBOOL(c_in(X0,X1,X2))
      | hBOOL(c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4)) ),
    inference(cnf_transformation,[status(esa)],[f2302]) ).

fof(f2311,plain,
    v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
    inference(cnf_transformation,[status(esa)],[f862]) ).

fof(f2312,plain,
    hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
    inference(cnf_transformation,[status(esa)],[f863]) ).

fof(f2313,plain,
    ~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    inference(cnf_transformation,[status(esa)],[f864]) ).

fof(f2384,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    inference(forward_demodulation,[status(thm)],[f2311,f2313]) ).

fof(f2405,plain,
    ( spl0_5
  <=> hBOOL(c_in(v_x,v_U,tc_Com_Opname)) ),
    introduced(split_symbol_definition) ).

fof(f2407,plain,
    ( ~ hBOOL(c_in(v_x,v_U,tc_Com_Opname))
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f2405]) ).

fof(f2420,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2407,f2312]) ).

fof(f2421,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f2420]) ).

fof(f4019,plain,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
    inference(resolution,[status(thm)],[f1973,f2384]) ).

fof(f5954,plain,
    ( spl0_171
  <=> hBOOL(c_in(hAPP(v_mgt__call,v_x),v_G,t_a)) ),
    introduced(split_symbol_definition) ).

fof(f5956,plain,
    ( ~ hBOOL(c_in(hAPP(v_mgt__call,v_x),v_G,t_a))
    | spl0_171 ),
    inference(component_clause,[status(thm)],[f5954]) ).

fof(f6040,plain,
    ( spl0_176
  <=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool)) ),
    introduced(split_symbol_definition) ).

fof(f6042,plain,
    ( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
    | spl0_176 ),
    inference(component_clause,[status(thm)],[f6040]) ).

fof(f6841,plain,
    ! [X0] :
      ( ~ hBOOL(c_in(X0,v_U,tc_Com_Opname))
      | hBOOL(c_in(hAPP(v_mgt__call,X0),v_G,t_a)) ),
    inference(paramodulation,[status(thm)],[f2311,f2303]) ).

fof(f8395,plain,
    ( ~ hBOOL(c_in(v_x,v_U,tc_Com_Opname))
    | spl0_171 ),
    inference(resolution,[status(thm)],[f5956,f6841]) ).

fof(f8396,plain,
    ( ~ spl0_5
    | spl0_171 ),
    inference(split_clause,[status(thm)],[f8395,f2405,f5954]) ).

fof(f11007,plain,
    ( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
    | ~ hBOOL(c_in(hAPP(v_mgt__call,v_x),v_G,t_a)) ),
    inference(resolution,[status(thm)],[f1984,f4019]) ).

fof(f11008,plain,
    ( ~ spl0_176
    | ~ spl0_171 ),
    inference(split_clause,[status(thm)],[f11007,f6040,f5954]) ).

fof(f11033,plain,
    ( $false
    | spl0_176 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6042,f1935]) ).

fof(f11034,plain,
    spl0_176,
    inference(contradiction_clause,[status(thm)],[f11033]) ).

fof(f11035,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2421,f8396,f11008,f11034]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV879-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Apr 30 01:09:47 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.42  % Drodi V3.6.0
% 6.60/1.28  % Refutation found
% 6.60/1.28  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.60/1.28  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.60/1.32  % Elapsed time: 0.956587 seconds
% 6.60/1.32  % CPU time: 6.953224 seconds
% 6.60/1.32  % Total memory used: 216.938 MB
% 6.60/1.32  % Net memory used: 214.347 MB
%------------------------------------------------------------------------------