%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET819-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 : Tue Apr 30 20:40:25 EDT 2024

% Result   : Unsatisfiable 0.21s 0.39s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   7   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f310,axiom,
    ! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1359,negated_conjecture,
    ! [V_U] : c_in(v_x(V_U),V_U,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1360,negated_conjecture,
    ! [V_U,V_V] :
      ( ~ c_lessequals(v_x(V_U),V_V,tc_set(t_a))
      | ~ c_in(V_V,v_F,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1779,plain,
    ! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
    inference(cnf_transformation,[status(esa)],[f310]) ).

fof(f2837,plain,
    ! [X0] : c_in(v_x(X0),X0,tc_set(t_a)),
    inference(cnf_transformation,[status(esa)],[f1359]) ).

fof(f2838,plain,
    ! [V_V] :
      ( ! [V_U] : ~ c_lessequals(v_x(V_U),V_V,tc_set(t_a))
      | ~ c_in(V_V,v_F,tc_set(t_a)) ),
    inference(miniscoping,[status(esa)],[f1360]) ).

fof(f2839,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(v_x(X0),X1,tc_set(t_a))
      | ~ c_in(X1,v_F,tc_set(t_a)) ),
    inference(cnf_transformation,[status(esa)],[f2838]) ).

fof(f2840,plain,
    ! [X0] : ~ c_in(v_x(X0),v_F,tc_set(t_a)),
    inference(resolution,[status(thm)],[f1779,f2839]) ).

fof(f2841,plain,
    $false,
    inference(resolution,[status(thm)],[f2840,f2837]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET819-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 22:01:04 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.21/0.38  % Drodi V3.6.0
% 0.21/0.39  % Refutation found
% 0.21/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.41  % Elapsed time: 0.062161 seconds
% 0.21/0.41  % CPU time: 0.094907 seconds
% 0.21/0.41  % Total memory used: 26.859 MB
% 0.21/0.41  % Net memory used: 26.786 MB
%------------------------------------------------------------------------------