%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG348-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 20:11:23 EDT 2024

% Result   : Unsatisfiable 0.20s 0.41s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f792,axiom,
    ! [T_a,V_p,V_h,V_x] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
      | c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_h,V_x,T_a),T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f802,negated_conjecture,
    c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_a,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f910,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2340,plain,
    ! [T_a] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
      | ! [V_p,V_h,V_x] : c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_h,V_x,T_a),T_a) ),
    inference(miniscoping,[status(esa)],[f792]) ).

fof(f2341,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
      | c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X3,X0) = c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f2340]) ).

fof(f2360,plain,
    c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_a,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(cnf_transformation,[status(esa)],[f802]) ).

fof(f2468,plain,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    inference(cnf_transformation,[status(esa)],[f910]) ).

fof(f2540,plain,
    ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    inference(resolution,[status(thm)],[f2341,f2360]) ).

fof(f2546,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2468,f2540]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG348-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 23:48:40 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.40  % Drodi V3.6.0
% 0.20/0.41  % Refutation found
% 0.20/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.43  % Elapsed time: 0.084475 seconds
% 0.20/0.43  % CPU time: 0.129073 seconds
% 0.20/0.43  % Total memory used: 27.004 MB
% 0.20/0.43  % Net memory used: 26.928 MB
%------------------------------------------------------------------------------