TSTP Solution File: LAT275-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LAT275-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 12:17:14 EDT 2023

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   9 unt;   0 def)
%            Number of atoms       :   13 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :    2 (;   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ c_in(c_Tarski_Olub(v_S,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [V_S] :
      ( ~ c_lessequals(V_S,v_A,tc_set(t_a))
      | c_in(c_Tarski_Olub(V_S,v_cl,t_a),v_A,t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,plain,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f6,plain,
    ~ c_in(c_Tarski_Olub(v_S,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f8,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,v_A,tc_set(t_a))
      | c_in(c_Tarski_Olub(X0,v_cl,t_a),v_A,t_a) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    ~ c_in(c_Tarski_Olub(v_S,v_cl,t_a),v_A,t_a),
    inference(backward_demodulation,[status(thm)],[f7,f6]) ).

fof(f10,plain,
    ~ c_lessequals(v_S,v_A,tc_set(t_a)),
    inference(resolution,[status(thm)],[f8,f9]) ).

fof(f11,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f10,f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LAT275-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.32  % Computer : n021.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Tue May 30 09:27:22 EDT 2023
% 0.13/0.32  % CPUTime  : 
% 0.13/0.33  % 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
% 0.13/0.35  % Elapsed time: 0.021020 seconds
% 0.13/0.35  % CPU time: 0.027412 seconds
% 0.13/0.35  % Memory used: 8.930 MB
%------------------------------------------------------------------------------