%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV629-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 12:43:44 EDT 2023

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   9 unt;   0 def)
%            Number of atoms       :   31 (  10 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  11   ~;   9   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f311,axiom,
    ! [T_a,V_a] :
      ( ~ class_OrderedGroup_Omonoid__mult(T_a)
      | c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f334,axiom,
    ! [V_n] : c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(V_n),V_n,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f352,negated_conjecture,
    c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f383,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f884,plain,
    ! [T_a] :
      ( ~ class_OrderedGroup_Omonoid__mult(T_a)
      | ! [V_a] : c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ),
    inference(miniscoping,[status(esa)],[f311]) ).

fof(f885,plain,
    ! [X0,X1] :
      ( ~ class_OrderedGroup_Omonoid__mult(X0)
      | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
    inference(cnf_transformation,[status(esa)],[f884]) ).

fof(f916,plain,
    ! [X0] : c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(cnf_transformation,[status(esa)],[f334]) ).

fof(f943,plain,
    c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(cnf_transformation,[status(esa)],[f352]) ).

fof(f974,plain,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    inference(cnf_transformation,[status(esa)],[f383]) ).

fof(f5054,plain,
    ( spl0_113
  <=> class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
    introduced(split_symbol_definition) ).

fof(f5056,plain,
    ( ~ class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex)
    | spl0_113 ),
    inference(component_clause,[status(thm)],[f5054]) ).

fof(f5097,plain,
    ( spl0_122
  <=> c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) ),
    introduced(split_symbol_definition) ).

fof(f5098,plain,
    ( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))
    | ~ spl0_122 ),
    inference(component_clause,[status(thm)],[f5097]) ).

fof(f5100,plain,
    ( ~ class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex)
    | c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) ),
    inference(paramodulation,[status(thm)],[f916,f885]) ).

fof(f5101,plain,
    ( ~ spl0_113
    | spl0_122 ),
    inference(split_clause,[status(thm)],[f5100,f5054,f5097]) ).

fof(f5102,plain,
    ( $false
    | spl0_113 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5056,f974]) ).

fof(f5103,plain,
    spl0_113,
    inference(contradiction_clause,[status(thm)],[f5102]) ).

fof(f5104,plain,
    ( $false
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5098,f943]) ).

fof(f5105,plain,
    ~ spl0_122,
    inference(contradiction_clause,[status(thm)],[f5104]) ).

fof(f5106,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f5101,f5103,f5105]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV629-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 11:44:40 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.37  % Drodi V3.5.1
% 0.20/0.49  % Refutation found
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.49  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.49  % Elapsed time: 0.130870 seconds
% 0.20/0.49  % CPU time: 0.738133 seconds
% 0.20/0.49  % Memory used: 76.202 MB
%------------------------------------------------------------------------------