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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : ALG431-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 11:49:24 AM UTC 2026

% Result   : Unsatisfiable 102.65s 13.49s
% Output   : CNFRefutation 77.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   65 (  29 unt;   0 def)
%            Number of atoms       :  106 (  44 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   86 (  45   ~;  41   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   2 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   3 con; 0-3 aty)
%            Number of variables   :   72 (  72   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f385,axiom,
    ! [T_a,V_c,V_p] :
      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(c_Polynomial_Opoly(V_p,V_c,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a)) = V_p
      | ~ class_Ring__and__Field_Ocomm__ring__1(T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f453,axiom,
    ( c_Polynomial_Odegree(v_p,t_a) = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ class_Int_Oring__char__0(t_a)
    | ~ class_Ring__and__Field_Oidom(t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f504,axiom,
    ! [T_a,V_p,V_c] :
      ( c_Polynomial_Osynthetic__div(V_p,V_c,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
      | c_Polynomial_Odegree(V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_nat)
      | ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f614,axiom,
    ! [T_a,V_a] :
      ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a
      | ~ class_OrderedGroup_Omonoid__add(T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f633,axiom,
    ! [T_a,V_p] :
      ( c_HOL_Otimes__class_Otimes(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f655,axiom,
    ! [T_a,V_a] :
      ( c_Polynomial_Omonom(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a)
      | ~ class_HOL_Ozero(T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f656,axiom,
    ! [T_a] :
      ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a)
      | ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f686,negated_conjecture,
    class_Int_Oring__char__0(t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f687,negated_conjecture,
    class_Ring__and__Field_Oidom(t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f688,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f689,negated_conjecture,
    ! [V_x] :
      ( v_thesis____
      | v_p != c_Polynomial_OpCons(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f694,axiom,
    ! [T] :
      ( class_Ring__and__Field_Ocomm__semiring__1(T)
      | ~ class_Ring__and__Field_Oidom(T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f695,axiom,
    ! [T] :
      ( class_Ring__and__Field_Ocomm__semiring__0(T)
      | ~ class_Ring__and__Field_Oidom(T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f702,axiom,
    ! [T] :
      ( class_Ring__and__Field_Ocomm__ring__1(T)
      | ~ class_Ring__and__Field_Oidom(T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f708,axiom,
    ! [T] :
      ( class_OrderedGroup_Omonoid__add(T)
      | ~ class_Ring__and__Field_Oidom(T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f726,axiom,
    ! [T] :
      ( class_HOL_Ozero(T)
      | ~ class_Int_Oring__char__0(T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f853,axiom,
    ! [T_1] :
      ( ~ class_Ring__and__Field_Oidom(T_1)
      | class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1541,plain,
    ! [T_a] :
      ( ! [V_c,V_p] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(c_Polynomial_Opoly(V_p,V_c,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a)) = V_p
      | ~ class_Ring__and__Field_Ocomm__ring__1(T_a) ),
    inference(miniscoping,[status(thm)],[f385]) ).

fof(f1542,plain,
    ! [X0,X1,X2] :
      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),c_Polynomial_Osynthetic__div(X2,X1,X0),tc_Polynomial_Opoly(X0)),c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X1,X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0)) = X2
      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
    inference(cnf_transformation,[status(thm)],[f1541]) ).

fof(f1659,plain,
    ( c_Polynomial_Odegree(v_p,t_a) = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ class_Int_Oring__char__0(t_a)
    | ~ class_Ring__and__Field_Oidom(t_a) ),
    inference(cnf_transformation,[status(thm)],[f453]) ).

fof(f1742,plain,
    ! [T_a,V_p] :
      ( ! [V_c] : c_Polynomial_Osynthetic__div(V_p,V_c,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
      | c_Polynomial_Odegree(V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_nat)
      | ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) ),
    inference(miniscoping,[status(thm)],[f504]) ).

fof(f1743,plain,
    ! [X0,X1,X2] :
      ( c_Polynomial_Osynthetic__div(X1,X2,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
      | c_Polynomial_Odegree(X1,X0) != c_HOL_Ozero__class_Ozero(tc_nat)
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
    inference(cnf_transformation,[status(thm)],[f1742]) ).

fof(f1919,plain,
    ! [T_a] :
      ( ! [V_a] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a
      | ~ class_OrderedGroup_Omonoid__add(T_a) ),
    inference(miniscoping,[status(thm)],[f614]) ).

fof(f1920,plain,
    ! [X0,X1] :
      ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1
      | ~ class_OrderedGroup_Omonoid__add(X0) ),
    inference(cnf_transformation,[status(thm)],[f1919]) ).

fof(f1952,plain,
    ! [T_a] :
      ( ! [V_p] : c_HOL_Otimes__class_Otimes(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) ),
    inference(miniscoping,[status(thm)],[f633]) ).

fof(f1953,plain,
    ! [X0,X1] :
      ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
    inference(cnf_transformation,[status(thm)],[f1952]) ).

fof(f1993,plain,
    ! [T_a] :
      ( ! [V_a] : c_Polynomial_Omonom(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a)
      | ~ class_HOL_Ozero(T_a) ),
    inference(miniscoping,[status(thm)],[f655]) ).

fof(f1994,plain,
    ! [X0,X1] :
      ( c_Polynomial_Omonom(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
      | ~ class_HOL_Ozero(X0) ),
    inference(cnf_transformation,[status(thm)],[f1993]) ).

fof(f1995,plain,
    ! [X0] :
      ( c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0)
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
    inference(cnf_transformation,[status(thm)],[f656]) ).

fof(f2051,plain,
    class_Int_Oring__char__0(t_a),
    inference(cnf_transformation,[status(thm)],[f686]) ).

fof(f2052,plain,
    class_Ring__and__Field_Oidom(t_a),
    inference(cnf_transformation,[status(thm)],[f687]) ).

fof(f2053,plain,
    ~ v_thesis____,
    inference(cnf_transformation,[status(thm)],[f688]) ).

fof(f2054,plain,
    ( v_thesis____
    | ! [V_x] : v_p != c_Polynomial_OpCons(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a) ),
    inference(miniscoping,[status(thm)],[f689]) ).

fof(f2055,plain,
    ! [X0] :
      ( v_thesis____
      | v_p != c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a) ),
    inference(cnf_transformation,[status(thm)],[f2054]) ).

fof(f2060,plain,
    ! [X0] :
      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
      | ~ class_Ring__and__Field_Oidom(X0) ),
    inference(cnf_transformation,[status(thm)],[f694]) ).

fof(f2061,plain,
    ! [X0] :
      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
      | ~ class_Ring__and__Field_Oidom(X0) ),
    inference(cnf_transformation,[status(thm)],[f695]) ).

fof(f2068,plain,
    ! [X0] :
      ( class_Ring__and__Field_Ocomm__ring__1(X0)
      | ~ class_Ring__and__Field_Oidom(X0) ),
    inference(cnf_transformation,[status(thm)],[f702]) ).

fof(f2074,plain,
    ! [X0] :
      ( class_OrderedGroup_Omonoid__add(X0)
      | ~ class_Ring__and__Field_Oidom(X0) ),
    inference(cnf_transformation,[status(thm)],[f708]) ).

fof(f2092,plain,
    ! [X0] :
      ( class_HOL_Ozero(X0)
      | ~ class_Int_Oring__char__0(X0) ),
    inference(cnf_transformation,[status(thm)],[f726]) ).

fof(f2219,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Oidom(X0)
      | class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X0)) ),
    inference(cnf_transformation,[status(thm)],[f853]) ).

fof(f2228,plain,
    class_Ring__and__Field_Ocomm__semiring__1(t_a),
    inference(resolution,[status(thm)],[f2060,f2052]) ).

fof(f2234,plain,
    ! [X0] : v_p != c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),
    inference(forward_subsumption_resolution,[status(thm)],[f2055,f2053]) ).

fof(f2253,plain,
    class_HOL_Ozero(t_a),
    inference(resolution,[status(thm)],[f2092,f2051]) ).

fof(f2254,plain,
    class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(t_a)),
    inference(resolution,[status(thm)],[f2219,f2052]) ).

fof(f2326,plain,
    ( c_Polynomial_Odegree(v_p,t_a) = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ class_Int_Oring__char__0(t_a) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1659,f2052]) ).

fof(f2327,plain,
    c_Polynomial_Odegree(v_p,t_a) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(resolution,[status(thm)],[f2326,f2051]) ).

fof(f3366,plain,
    class_Ring__and__Field_Ocomm__semiring__0(t_a),
    inference(resolution,[status(thm)],[f2061,f2052]) ).

fof(f3511,plain,
    class_Ring__and__Field_Ocomm__ring__1(t_a),
    inference(resolution,[status(thm)],[f2068,f2052]) ).

fof(f3607,plain,
    class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(t_a)),
    inference(resolution,[status(thm)],[f2074,f2254]) ).

fof(f10768,plain,
    ! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0,tc_Polynomial_Opoly(t_a)) = X0,
    inference(resolution,[status(thm)],[f1920,f3607]) ).

fof(f29035,plain,
    ! [X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,t_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),t_a),c_Polynomial_Osynthetic__div(X1,X0,t_a),tc_Polynomial_Opoly(t_a)),c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X0,t_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),tc_Polynomial_Opoly(t_a)) = X1,
    inference(resolution,[status(thm)],[f1542,f3511]) ).

fof(f40430,plain,
    ! [X0,X1] :
      ( c_Polynomial_Osynthetic__div(X0,X1,t_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
      | c_Polynomial_Odegree(X0,t_a) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(resolution,[status(thm)],[f1743,f3366]) ).

fof(f40468,plain,
    ! [X0] : c_Polynomial_Osynthetic__div(v_p,X0,t_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(resolution,[status(thm)],[f40430,f2327]) ).

fof(f49141,plain,
    ! [X0] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),tc_Polynomial_Opoly(t_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(resolution,[status(thm)],[f1953,f3366]) ).

fof(f52547,plain,
    ! [X0] : c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),t_a) = c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),
    inference(resolution,[status(thm)],[f1994,f2253]) ).

fof(f52608,plain,
    c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(t_a)) = c_Polynomial_OpCons(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),
    inference(resolution,[status(thm)],[f1995,f2228]) ).

fof(f52807,plain,
    ! [X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,t_a),c_Polynomial_Omonom(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(tc_nat),t_a),t_a),c_Polynomial_Osynthetic__div(X1,X0,t_a),tc_Polynomial_Opoly(t_a)),c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X0,t_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),tc_Polynomial_Opoly(t_a)) = X1,
    inference(backward_demodulation,[status(thm)],[f52547,f29035]) ).

fof(f52812,plain,
    ! [X0] : v_p != c_Polynomial_Omonom(X0,c_HOL_Ozero__class_Ozero(tc_nat),t_a),
    inference(backward_demodulation,[status(thm)],[f52547,f2234]) ).

fof(f52830,plain,
    ! [X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,t_a),c_Polynomial_Omonom(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(tc_nat),t_a),t_a),c_Polynomial_Osynthetic__div(X1,X0,t_a),tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(c_Polynomial_Opoly(X1,X0,t_a),c_HOL_Ozero__class_Ozero(tc_nat),t_a),tc_Polynomial_Opoly(t_a)) = X1,
    inference(forward_demodulation,[status(thm)],[f52547,f52807]) ).

fof(f52881,plain,
    c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(t_a)) = c_Polynomial_Omonom(c_HOL_Oone__class_Oone(t_a),c_HOL_Ozero__class_Ozero(tc_nat),t_a),
    inference(forward_demodulation,[status(thm)],[f52547,f52608]) ).

fof(f53294,plain,
    ! [X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,t_a),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(t_a)),t_a),c_Polynomial_Osynthetic__div(X1,X0,t_a),tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(c_Polynomial_Opoly(X1,X0,t_a),c_HOL_Ozero__class_Ozero(tc_nat),t_a),tc_Polynomial_Opoly(t_a)) = X1,
    inference(forward_demodulation,[status(thm)],[f52881,f52830]) ).

fof(f53307,plain,
    ! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,t_a),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(t_a)),t_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(c_Polynomial_Opoly(v_p,X0,t_a),c_HOL_Ozero__class_Ozero(tc_nat),t_a),tc_Polynomial_Opoly(t_a)) = v_p,
    inference(paramodulation,[status(thm)],[f40468,f53294]) ).

fof(f53362,plain,
    ! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(c_Polynomial_Opoly(v_p,X0,t_a),c_HOL_Ozero__class_Ozero(tc_nat),t_a),tc_Polynomial_Opoly(t_a)) = v_p,
    inference(forward_demodulation,[status(thm)],[f49141,f53307]) ).

fof(f53363,plain,
    ! [X0] : c_Polynomial_Omonom(c_Polynomial_Opoly(v_p,X0,t_a),c_HOL_Ozero__class_Ozero(tc_nat),t_a) = v_p,
    inference(forward_demodulation,[status(thm)],[f10768,f53362]) ).

fof(f53364,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f53363,f52812]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG431-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n004.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 13:20:19 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.12/0.41  % Drodi V4.1.1
% 102.65/13.49  % Refutation found
% 102.65/13.49  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 102.65/13.49  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 64.42/14.72  % Elapsed time: 14.149284 seconds
% 64.42/14.72  % CPU time: 101.101140 seconds
% 64.42/14.72  % Total memory used: 571.099 MB
% 64.42/14.72  % Net memory used: 546.316 MB
%------------------------------------------------------------------------------