TSTP Solution File: SET833-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET833-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 12:35:18 EDT 2023

% Result   : Unsatisfiable 0.16s 0.58s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   13 (;  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [V_c,V_A,T_a,V_B] :
      ( ~ c_in(V_c,V_A,T_a)
      | ~ c_lessequals(V_A,V_B,tc_set(T_a))
      | c_in(V_c,V_B,T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    c_lessequals(v_Z,v_V,tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    c_in(v_x,v_Z,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ~ c_in(v_x,v_V,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,plain,
    ! [V_c,T_a,V_B] :
      ( ! [V_A] :
          ( ~ c_in(V_c,V_A,T_a)
          | ~ c_lessequals(V_A,V_B,tc_set(T_a)) )
      | c_in(V_c,V_B,T_a) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f6,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,X1,X2)
      | ~ c_lessequals(X1,X3,tc_set(X2))
      | c_in(X0,X3,X2) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f7,plain,
    c_lessequals(v_Z,v_V,tc_set(t_a)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    c_in(v_x,v_Z,t_a),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
    ~ c_in(v_x,v_V,t_a),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ c_in(X0,v_Z,t_a)
      | c_in(X0,v_V,t_a) ),
    inference(resolution,[status(thm)],[f6,f7]) ).

fof(f11,plain,
    c_in(v_x,v_V,t_a),
    inference(resolution,[status(thm)],[f10,f8]) ).

fof(f12,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f11,f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14  % Problem  : SET833-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.35  % Computer : n011.cluster.edu
% 0.11/0.35  % Model    : x86_64 x86_64
% 0.11/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35  % Memory   : 8042.1875MB
% 0.11/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35  % CPULimit : 300
% 0.11/0.35  % WCLimit  : 300
% 0.11/0.35  % DateTime : Tue May 30 10:19:57 EDT 2023
% 0.11/0.35  % CPUTime  : 
% 0.11/0.35  % Drodi V3.5.1
% 0.16/0.58  % Refutation found
% 0.16/0.58  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.58  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.58  % Elapsed time: 0.012052 seconds
% 0.16/0.58  % CPU time: 0.011389 seconds
% 0.16/0.58  % Memory used: 1.770 MB
%------------------------------------------------------------------------------