%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : ANA016-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 0.13s 0.35s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   32 (  10 unt;   0 def)
%            Number of atoms       :   57 (  27 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   48 (  23   ~;  25   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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   :   47 (;  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    v_c != c_0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,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(f3,negated_conjecture,
    class_Ring__and__Field_Oordered__field(t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [T_a,V_y] :
      ( ~ class_OrderedGroup_Omonoid__mult(T_a)
      | c_times(c_1,V_y,T_a) = V_y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,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(f6,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(f7,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Ofield(T)
      | class_OrderedGroup_Omonoid__mult(T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Ofield(T)
      | class_OrderedGroup_Osemigroup__mult(T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Oordered__field(T)
      | class_Ring__and__Field_Ofield(T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,plain,
    v_c != c_0,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f11,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)],[f2]) ).

fof(f12,plain,
    class_Ring__and__Field_Oordered__field(t_a),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f13,plain,
    ! [T_a] :
      ( ~ class_OrderedGroup_Omonoid__mult(T_a)
      | ! [V_y] : c_times(c_1,V_y,T_a) = V_y ),
    inference(miniscoping,[status(esa)],[f4]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ class_OrderedGroup_Omonoid__mult(X0)
      | c_times(c_1,X1,X0) = X1 ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f15,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)],[f5]) ).

fof(f16,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)],[f15]) ).

fof(f17,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)],[f6]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Ofield(X0)
      | class_OrderedGroup_Omonoid__mult(X0) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Ofield(X0)
      | class_OrderedGroup_Osemigroup__mult(X0) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Oordered__field(X0)
      | class_Ring__and__Field_Ofield(X0) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( X0 = c_0
      | c_times(X0,c_HOL_Oinverse(X0,X1),X1) = c_1
      | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(resolution,[status(thm)],[f17,f20]) ).

fof(f22,plain,
    ! [X0] :
      ( X0 = c_0
      | c_times(X0,c_HOL_Oinverse(X0,t_a),t_a) = c_1 ),
    inference(resolution,[status(thm)],[f21,f12]) ).

fof(f23,plain,
    ! [X0] :
      ( class_OrderedGroup_Omonoid__mult(X0)
      | ~ class_Ring__and__Field_Oordered__field(X0) ),
    inference(resolution,[status(thm)],[f18,f20]) ).

fof(f24,plain,
    ! [X0] :
      ( class_OrderedGroup_Osemigroup__mult(X0)
      | ~ class_Ring__and__Field_Oordered__field(X0) ),
    inference(resolution,[status(thm)],[f19,f20]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( c_times(c_1,X0,X1) = X0
      | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(resolution,[status(thm)],[f14,f23]) ).

fof(f26,plain,
    ! [X0] : c_times(c_1,X0,t_a) = X0,
    inference(resolution,[status(thm)],[f25,f12]) ).

fof(f37,plain,
    ! [X0,X1,X2,X3] :
      ( c_times(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_times(X1,X3,X2),X2)
      | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(resolution,[status(thm)],[f16,f24]) ).

fof(f38,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)],[f37,f12]) ).

fof(f42,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)],[f22,f38]) ).

fof(f43,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)],[f26,f42]) ).

fof(f63,plain,
    v_c = c_0,
    inference(resolution,[status(thm)],[f43,f11]) ).

fof(f64,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f63,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ANA016-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue May 30 10:16:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.61  % Elapsed time: 0.056196 seconds
% 0.20/0.61  % CPU time: 0.019634 seconds
% 0.20/0.61  % Memory used: 2.901 MB
%------------------------------------------------------------------------------