%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV913-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 20:49:33 EDT 2024

% Result   : Unsatisfiable 0.20s 0.40s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   9 unt;   0 def)
%            Number of atoms       :   13 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f415,axiom,
    ! [V_B,T_a,V_a] : c_lessequals(V_B,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f431,axiom,
    ! [V_G,V_ts,T_a] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
      | ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f488,axiom,
    ! [T_a,V_x,V_A] : hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f495,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1212,plain,
    ! [X0,X1,X2] : c_lessequals(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),X0),tc_fun(X1,tc_bool)),
    inference(cnf_transformation,[status(esa)],[f415]) ).

fof(f1234,plain,
    ! [X0,X1,X2] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
      | ~ c_lessequals(X1,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)) ),
    inference(cnf_transformation,[status(esa)],[f431]) ).

fof(f1322,plain,
    ! [X0,X1,X2] : hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)) = hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),
    inference(cnf_transformation,[status(esa)],[f488]) ).

fof(f1332,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    inference(cnf_transformation,[status(esa)],[f495]) ).

fof(f1388,plain,
    ! [X0,X1,X2] : c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X1),X2),X2,X0),
    inference(resolution,[status(thm)],[f1212,f1234]) ).

fof(f1428,plain,
    ! [X0,X1,X2] : c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X1),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X1),X2),X0),
    inference(paramodulation,[status(thm)],[f1322,f1388]) ).

fof(f1438,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f1332,f1428]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV913-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Apr 30 00:38:04 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.39  % Drodi V3.6.0
% 0.20/0.40  % Refutation found
% 0.20/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.42  % Elapsed time: 0.063943 seconds
% 0.20/0.42  % CPU time: 0.103315 seconds
% 0.20/0.42  % Total memory used: 22.214 MB
% 0.20/0.42  % Net memory used: 22.165 MB
%------------------------------------------------------------------------------