TSTP Solution File: LAT261-2 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : LAT261-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 13:36:16 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   5 unt;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0,plain,
    c_in(c_tarski_odual(v_cl,t_a),c_tarski_ocompletelattice,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT261-2.tptp',unknown),
    [] ).

cnf(151374664,plain,
    c_in(c_tarski_odual(v_cl,t_a),c_tarski_ocompletelattice,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit)),
    inference(rewrite,[status(thm)],[cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0]),
    [] ).

fof(cls_conjecture_1,plain,
    ~ c_in(c_tarski_odual(v_cl,t_a),c_tarski_ocompletelattice,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT261-2.tptp',unknown),
    [] ).

cnf(151369696,plain,
    ~ c_in(c_tarski_odual(v_cl,t_a),c_tarski_ocompletelattice,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit)),
    inference(rewrite,[status(thm)],[cls_conjecture_1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[151374664,151369696]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0,plain,(c_in(c_tarski_odual(v_cl,t_a),c_tarski_ocompletelattice,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT261-2.tptp',unknown),[]).
% 
% cnf(151374664,plain,(c_in(c_tarski_odual(v_cl,t_a),c_tarski_ocompletelattice,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit))),inference(rewrite,[status(thm)],[cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0]),[]).
% 
% fof(cls_conjecture_1,plain,(~c_in(c_tarski_odual(v_cl,t_a),c_tarski_ocompletelattice,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT261-2.tptp',unknown),[]).
% 
% cnf(151369696,plain,(~c_in(c_tarski_odual(v_cl,t_a),c_tarski_ocompletelattice,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[151374664,151369696]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------