TSTP Solution File: SWV410+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV410+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.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 16:35:03 EDT 2009

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(l46_co,plain,
    ! [B] :
      ( contains_slb(create_slb,u)
      & ~ pair_in_list(create_slb,u,B) ),
    file('/tmp/SystemOnTPTP28939/SWV410+1.p',unknown),
    [] ).

cnf(165391936,plain,
    contains_slb(create_slb,u),
    inference(rewrite,[status(thm)],[l46_co]),
    [] ).

fof(ax20,plain,
    ! [A] : ~ contains_slb(create_slb,A),
    file('/tmp/SystemOnTPTP28939/SWV410+1.p',unknown),
    [] ).

cnf(165065256,plain,
    ~ contains_slb(create_slb,A),
    inference(rewrite,[status(thm)],[ax20]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[165391936,165065256]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(l46_co,plain,((contains_slb(create_slb,u)&~pair_in_list(create_slb,u,B))),file('/tmp/SystemOnTPTP28939/SWV410+1.p',unknown),[]).
% 
% cnf(165391936,plain,(contains_slb(create_slb,u)),inference(rewrite,[status(thm)],[l46_co]),[]).
% 
% fof(ax20,plain,(~contains_slb(create_slb,A)),file('/tmp/SystemOnTPTP28939/SWV410+1.p',unknown),[]).
% 
% cnf(165065256,plain,(~contains_slb(create_slb,A)),inference(rewrite,[status(thm)],[ax20]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[165391936,165065256]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------