%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG417-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 20:11:33 EDT 2024

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  12 unt;   0 def)
%            Number of atoms       :   16 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f227,axiom,
    ! [T_a] :
      ( ~ class_HOL_Ozero(T_a)
      | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f299,axiom,
    v_s____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f356,axiom,
    v_s____ = c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f410,negated_conjecture,
    v_k____ = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f504,axiom,
    class_HOL_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f968,plain,
    ! [X0] :
      ( ~ class_HOL_Ozero(X0)
      | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
    inference(cnf_transformation,[status(esa)],[f227]) ).

fof(f1092,plain,
    v_s____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(cnf_transformation,[status(esa)],[f299]) ).

fof(f1186,plain,
    v_s____ = c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
    inference(cnf_transformation,[status(esa)],[f356]) ).

fof(f1273,plain,
    v_k____ = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(cnf_transformation,[status(esa)],[f410]) ).

fof(f1367,plain,
    class_HOL_Ozero(tc_Complex_Ocomplex),
    inference(cnf_transformation,[status(esa)],[f504]) ).

fof(f1507,plain,
    c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(resolution,[status(thm)],[f968,f1367]) ).

fof(f1508,plain,
    c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(forward_demodulation,[status(thm)],[f1273,f1507]) ).

fof(f1509,plain,
    v_s____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(forward_demodulation,[status(thm)],[f1186,f1508]) ).

fof(f1510,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1509,f1092]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : ALG417-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n018.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 23:43:58 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.38  % 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
% 0.20/0.57  % Elapsed time: 0.221693 seconds
% 0.20/0.57  % CPU time: 1.472400 seconds
% 0.20/0.57  % Total memory used: 105.328 MB
% 0.20/0.57  % Net memory used: 104.893 MB
%------------------------------------------------------------------------------