%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : ANA045-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 : Wed May 31 12:01:33 EDT 2023

% Result   : Unsatisfiable 5.40s 1.14s
% Output   : CNFRefutation 5.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   26 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   21 (  12   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   20 (;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1363,axiom,
    ! [T_a,V_b] :
      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
      | c_0 = c_times(c_0,V_b,T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1689,axiom,
    ! [T_a,V_x] :
      ( ~ class_Orderings_Oorder(T_a)
      | c_lessequals(V_x,V_x,T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2456,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Oordered__idom(T)
      | class_Orderings_Oorder(T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2783,negated_conjecture,
    ! [V_U] : ~ c_lessequals(c_0,c_times(V_U,c_HOL_Oabs(v_g(v_x(V_U)),t_b),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2784,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4654,plain,
    ! [T_a] :
      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
      | ! [V_b] : c_0 = c_times(c_0,V_b,T_a) ),
    inference(miniscoping,[status(esa)],[f1363]) ).

fof(f4655,plain,
    ! [X0,X1] :
      ( ~ class_Ring__and__Field_Oordered__idom(X0)
      | c_0 = c_times(c_0,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f4654]) ).

fof(f5106,plain,
    ! [T_a] :
      ( ~ class_Orderings_Oorder(T_a)
      | ! [V_x] : c_lessequals(V_x,V_x,T_a) ),
    inference(miniscoping,[status(esa)],[f1689]) ).

fof(f5107,plain,
    ! [X0,X1] :
      ( ~ class_Orderings_Oorder(X0)
      | c_lessequals(X1,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f5106]) ).

fof(f5892,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Oordered__idom(X0)
      | class_Orderings_Oorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f2456]) ).

fof(f6221,plain,
    ! [X0] : ~ c_lessequals(c_0,c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
    inference(cnf_transformation,[status(esa)],[f2783]) ).

fof(f6222,plain,
    class_Ring__and__Field_Oordered__idom(t_b),
    inference(cnf_transformation,[status(esa)],[f2784]) ).

fof(f6232,plain,
    ! [X0] : c_0 = c_times(c_0,X0,t_b),
    inference(resolution,[status(thm)],[f4655,f6222]) ).

fof(f6233,plain,
    ~ c_lessequals(c_0,c_0,t_b),
    inference(paramodulation,[status(thm)],[f6232,f6221]) ).

fof(f7608,plain,
    ! [X0,X1] :
      ( c_lessequals(X0,X0,X1)
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(resolution,[status(thm)],[f5107,f5892]) ).

fof(f7611,plain,
    ! [X0] : c_lessequals(X0,X0,t_b),
    inference(resolution,[status(thm)],[f7608,f6222]) ).

fof(f7612,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f6233,f7611]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ANA045-1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n020.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue May 30 09:59:58 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.15/0.38  % Drodi V3.5.1
% 5.40/1.14  % Refutation found
% 5.40/1.14  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.40/1.14  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.40/1.15  % Elapsed time: 0.848544 seconds
% 5.40/1.15  % CPU time: 6.021963 seconds
% 5.40/1.15  % Memory used: 218.663 MB
%------------------------------------------------------------------------------