%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% 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 : 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 20:49:04 EDT 2024

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   9 unt;   0 def)
%            Number of atoms       :   15 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f312,axiom,
    ! [T_a,V_x] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
      | c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_x ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).

fof(f372,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f886,plain,
    ! [T_a] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
      | ! [V_x] : c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_x ),
    inference(miniscoping,[status(esa)],[f312]) ).

fof(f887,plain,
    ! [X0,X1] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
      | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
    inference(cnf_transformation,[status(esa)],[f886]) ).

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(f963,plain,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(cnf_transformation,[status(esa)],[f372]) ).

fof(f1342,plain,
    ! [X0] : c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = X0,
    inference(resolution,[status(thm)],[f887,f963]) ).

fof(f1350,plain,
    c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),
    inference(paramodulation,[status(thm)],[f916,f1342]) ).

fof(f1351,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1350,f943]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV629-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.15  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.37  % Computer : n014.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Tue Apr 30 00:44:04 EDT 2024
% 0.13/0.37  % CPUTime  : 
% 0.13/0.39  % Drodi V3.6.0
% 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
% 0.20/0.50  % Elapsed time: 0.126523 seconds
% 0.20/0.50  % CPU time: 0.750315 seconds
% 0.20/0.50  % Total memory used: 91.910 MB
% 0.20/0.50  % Net memory used: 91.649 MB
%------------------------------------------------------------------------------