%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG434-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 20:11:35 EDT 2024

% Result   : Unsatisfiable 0.19s 0.38s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f367,axiom,
    ! [T_a,V_p,V_a,V_q] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
      | c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f371,axiom,
    c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f375,negated_conjecture,
    ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f383,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1122,plain,
    ! [T_a,V_p,V_q] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
      | ! [V_a] : c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) ),
    inference(miniscoping,[status(esa)],[f367]) ).

fof(f1123,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0)) ),
    inference(cnf_transformation,[status(esa)],[f1122]) ).

fof(f1130,plain,
    c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(cnf_transformation,[status(esa)],[f371]) ).

fof(f1135,plain,
    ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(cnf_transformation,[status(esa)],[f375]) ).

fof(f1143,plain,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(cnf_transformation,[status(esa)],[f383]) ).

fof(f1202,plain,
    ! [X0,X1,X2] :
      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Polynomial_Osmult(X1,X2,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(resolution,[status(thm)],[f1123,f1143]) ).

fof(f1211,plain,
    ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(resolution,[status(thm)],[f1202,f1135]) ).

fof(f1212,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1211,f1130]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG434-1 : 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 : n003.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 23:35:18 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.38  % Drodi V3.6.0
% 0.19/0.38  % Refutation found
% 0.19/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.40  % Elapsed time: 0.048165 seconds
% 0.19/0.40  % CPU time: 0.067455 seconds
% 0.19/0.40  % Total memory used: 16.053 MB
% 0.19/0.40  % Net memory used: 15.998 MB
%------------------------------------------------------------------------------