TSTP Solution File: SET828-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET828-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 20:40:27 EDT 2024

% Result   : Unsatisfiable 0.17s 0.38s
% Output   : CNFRefutation 0.17s
% 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(f306,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/sandbox/benchmark/theBenchmark.p') ).

fof(f1358,negated_conjecture,
    c_lessequals(v_X,v_Y,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1360,negated_conjecture,
    c_in(v_x,v_X,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1361,negated_conjecture,
    ~ c_in(v_x,v_Y,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1775,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)],[f306]) ).

fof(f1776,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)],[f1775]) ).

fof(f2838,plain,
    c_lessequals(v_X,v_Y,tc_set(t_a)),
    inference(cnf_transformation,[status(esa)],[f1358]) ).

fof(f2840,plain,
    c_in(v_x,v_X,t_a),
    inference(cnf_transformation,[status(esa)],[f1360]) ).

fof(f2841,plain,
    ~ c_in(v_x,v_Y,t_a),
    inference(cnf_transformation,[status(esa)],[f1361]) ).

fof(f2854,plain,
    ! [X0] :
      ( ~ c_in(X0,v_X,t_a)
      | c_in(X0,v_Y,t_a) ),
    inference(resolution,[status(thm)],[f1776,f2838]) ).

fof(f2864,plain,
    c_in(v_x,v_Y,t_a),
    inference(resolution,[status(thm)],[f2854,f2840]) ).

fof(f2865,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2864,f2841]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET828-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Apr 29 22:04:44 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.11/0.36  % Drodi V3.6.0
% 0.17/0.38  % Refutation found
% 0.17/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.40  % Elapsed time: 0.061619 seconds
% 0.17/0.40  % CPU time: 0.075699 seconds
% 0.17/0.40  % Total memory used: 23.527 MB
% 0.17/0.40  % Net memory used: 23.447 MB
%------------------------------------------------------------------------------