%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : ANA007-2 : 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 12:01:24 EDT 2023

% Result   : Unsatisfiable 0.16s 0.54s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   25 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    5 (   2 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   :   18 (;  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [V_U] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(V_U)),t_b),c_times(V_U,c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,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(f4,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(f5,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Oordered__idom(T)
      | class_Orderings_Oorder(T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    class_Ring__and__Field_Oordered__idom(t_b),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    ! [T_a] :
      ( ~ class_Orderings_Oorder(T_a)
      | ! [V_x] : c_lessequals(V_x,V_x,T_a) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ class_Orderings_Oorder(X0)
      | c_lessequals(X1,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f10,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)],[f4]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ class_Ring__and__Field_Oordered__idom(X0)
      | X1 = c_times(c_1,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f12,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Oordered__idom(X0)
      | class_Orderings_Oorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f13,plain,
    class_Orderings_Oorder(t_b),
    inference(resolution,[status(thm)],[f12,f7]) ).

fof(f14,plain,
    ! [X0] : c_lessequals(X0,X0,t_b),
    inference(resolution,[status(thm)],[f13,f9]) ).

fof(f15,plain,
    ! [X0] : X0 = c_times(c_1,X0,t_b),
    inference(resolution,[status(thm)],[f11,f7]) ).

fof(f16,plain,
    ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),
    inference(paramodulation,[status(thm)],[f15,f6]) ).

fof(f17,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f16,f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : ANA007-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n012.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 09:58:40 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.32  % Drodi V3.5.1
% 0.16/0.54  % Refutation found
% 0.16/0.54  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54  % Elapsed time: 0.010714 seconds
% 0.16/0.54  % CPU time: 0.010042 seconds
% 0.16/0.54  % Memory used: 1.004 MB
%------------------------------------------------------------------------------