%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : ANA016-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 12:01:26 EDT 2023

% Result   : Unsatisfiable 12.94s 2.12s
% Output   : CNFRefutation 13.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   30 (  13 unt;   0 def)
%            Number of atoms       :   49 (  23 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  18   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   37 (;  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1368,axiom,
    ! [T_a,V_c] :
      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
      | V_c = c_times(c_1,V_c,T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1394,axiom,
    ! [T_a,V_a] :
      ( ~ class_Ring__and__Field_Ofield(T_a)
      | V_a = c_0
      | c_times(V_a,c_HOL_Oinverse(V_a,T_a),T_a) = c_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2245,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Ofield(T)
      | class_OrderedGroup_Osemigroup__mult(T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2356,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Oordered__field(T)
      | class_Ring__and__Field_Ofield(T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2384,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Oordered__field(T)
      | class_Ring__and__Field_Oordered__idom(T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2781,axiom,
    ! [T_a,V_a,V_b,V_c] :
      ( ~ class_OrderedGroup_Osemigroup__mult(T_a)
      | c_times(c_times(V_a,V_b,T_a),V_c,T_a) = c_times(V_a,c_times(V_b,V_c,T_a),T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2786,negated_conjecture,
    v_c != c_0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2788,negated_conjecture,
    v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2789,negated_conjecture,
    class_Ring__and__Field_Oordered__field(t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4669,plain,
    ! [T_a] :
      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
      | ! [V_c] : V_c = c_times(c_1,V_c,T_a) ),
    inference(miniscoping,[status(esa)],[f1368]) ).

fof(f4670,plain,
    ! [X0,X1] :
      ( ~ class_Ring__and__Field_Oordered__idom(X0)
      | X1 = c_times(c_1,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f4669]) ).

fof(f4717,plain,
    ! [X0,X1] :
      ( ~ class_Ring__and__Field_Ofield(X0)
      | X1 = c_0
      | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1 ),
    inference(cnf_transformation,[status(esa)],[f1394]) ).

fof(f5686,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Ofield(X0)
      | class_OrderedGroup_Osemigroup__mult(X0) ),
    inference(cnf_transformation,[status(esa)],[f2245]) ).

fof(f5797,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Oordered__field(X0)
      | class_Ring__and__Field_Ofield(X0) ),
    inference(cnf_transformation,[status(esa)],[f2356]) ).

fof(f5825,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Oordered__field(X0)
      | class_Ring__and__Field_Oordered__idom(X0) ),
    inference(cnf_transformation,[status(esa)],[f2384]) ).

fof(f6222,plain,
    ! [T_a] :
      ( ~ class_OrderedGroup_Osemigroup__mult(T_a)
      | ! [V_a,V_b,V_c] : c_times(c_times(V_a,V_b,T_a),V_c,T_a) = c_times(V_a,c_times(V_b,V_c,T_a),T_a) ),
    inference(miniscoping,[status(esa)],[f2781]) ).

fof(f6223,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_OrderedGroup_Osemigroup__mult(X0)
      | c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f6222]) ).

fof(f6231,plain,
    v_c != c_0,
    inference(cnf_transformation,[status(esa)],[f2786]) ).

fof(f6233,plain,
    v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
    inference(cnf_transformation,[status(esa)],[f2788]) ).

fof(f6234,plain,
    class_Ring__and__Field_Oordered__field(t_a),
    inference(cnf_transformation,[status(esa)],[f2789]) ).

fof(f10028,plain,
    class_Ring__and__Field_Ofield(t_a),
    inference(resolution,[status(thm)],[f5797,f6234]) ).

fof(f10047,plain,
    class_OrderedGroup_Osemigroup__mult(t_a),
    inference(resolution,[status(thm)],[f10028,f5686]) ).

fof(f10101,plain,
    ! [X0] :
      ( X0 = c_0
      | c_times(X0,c_HOL_Oinverse(X0,t_a),t_a) = c_1 ),
    inference(resolution,[status(thm)],[f10028,f4717]) ).

fof(f10129,plain,
    class_Ring__and__Field_Oordered__idom(t_a),
    inference(resolution,[status(thm)],[f5825,f6234]) ).

fof(f11129,plain,
    ! [X0] : X0 = c_times(c_1,X0,t_a),
    inference(resolution,[status(thm)],[f4670,f10129]) ).

fof(f15612,plain,
    ! [X0,X1,X2] : c_times(c_times(X0,X1,t_a),X2,t_a) = c_times(X0,c_times(X1,X2,t_a),t_a),
    inference(resolution,[status(thm)],[f6223,f10047]) ).

fof(f15978,plain,
    ! [X0,X1] :
      ( c_times(c_1,X0,t_a) = c_times(X1,c_times(c_HOL_Oinverse(X1,t_a),X0,t_a),t_a)
      | X1 = c_0 ),
    inference(paramodulation,[status(thm)],[f10101,f15612]) ).

fof(f15979,plain,
    ! [X0,X1] :
      ( X0 = c_times(X1,c_times(c_HOL_Oinverse(X1,t_a),X0,t_a),t_a)
      | X1 = c_0 ),
    inference(forward_demodulation,[status(thm)],[f11129,f15978]) ).

fof(f16113,plain,
    v_c = c_0,
    inference(resolution,[status(thm)],[f15979,f6233]) ).

fof(f16114,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f16113,f6231]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ANA016-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 09:57:40 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.21/0.45  % Drodi V3.5.1
% 12.94/2.12  % Refutation found
% 12.94/2.12  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.94/2.12  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.47/2.18  % Elapsed time: 1.831250 seconds
% 13.47/2.18  % CPU time: 13.507151 seconds
% 13.47/2.18  % Memory used: 338.865 MB
%------------------------------------------------------------------------------