%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG384-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:11:29 EDT 2024

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   6   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f485,axiom,
    ! [T_a,V_x] :
      ( ~ class_RealVector_Oreal__normed__vector(T_a)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal)
      | V_x = c_HOL_Ozero__class_Ozero(T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f496,axiom,
    v_c____ != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f497,negated_conjecture,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f563,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1346,plain,
    ! [X0,X1] :
      ( ~ class_RealVector_Oreal__normed__vector(X0)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
    inference(cnf_transformation,[status(esa)],[f485]) ).

fof(f1362,plain,
    v_c____ != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(cnf_transformation,[status(esa)],[f496]) ).

fof(f1363,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(cnf_transformation,[status(esa)],[f497]) ).

fof(f1429,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    inference(cnf_transformation,[status(esa)],[f563]) ).

fof(f1457,plain,
    ! [X0] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal)
      | X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(resolution,[status(thm)],[f1346,f1429]) ).

fof(f1458,plain,
    v_c____ = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(resolution,[status(thm)],[f1457,f1363]) ).

fof(f1459,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1458,f1362]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ALG384-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n014.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 01:33:49 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.39  % Drodi V3.6.0
% 0.20/0.57  % Refutation found
% 0.20/0.57  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.58  % Elapsed time: 0.223159 seconds
% 0.20/0.58  % CPU time: 1.395311 seconds
% 0.20/0.58  % Total memory used: 96.242 MB
% 0.20/0.58  % Net memory used: 95.914 MB
%------------------------------------------------------------------------------