%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET366+4 : TPTP v3.4.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.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 15:31:00 EDT 2009

% Result   : Theorem 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   21 (  10   ~;   8   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-3 aty)
%            Number of variables   :   14 (   4 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(power_set,plain,
    ! [A,B] :
      ( ( ~ member(A,power_set(B))
        | subset(A,B) )
      & ( member(A,power_set(B))
        | ~ subset(A,B) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET366+4.tptp',unknown),
    [] ).

cnf(156833488,plain,
    ( member(A,power_set(B))
    | ~ subset(A,B) ),
    inference(rewrite,[status(thm)],[power_set]),
    [] ).

fof(subset,plain,
    ! [A,B,C] :
      ( ( ~ subset(A,B)
        | ~ member(C,A)
        | member(C,B) )
      & ( ~ member(x(A,B,C),B)
        | subset(A,B) )
      & ( member(x(A,B,C),A)
        | subset(A,B) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET366+4.tptp',unknown),
    [] ).

cnf(156785416,plain,
    ( member(x(A,B,C),A)
    | subset(A,B) ),
    inference(rewrite,[status(thm)],[subset]),
    [] ).

fof(empty_set,plain,
    ! [A] : ~ member(A,empty_set),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET366+4.tptp',unknown),
    [] ).

cnf(156885248,plain,
    ~ member(A,empty_set),
    inference(rewrite,[status(thm)],[empty_set]),
    [] ).

cnf(164858224,plain,
    subset(empty_set,A),
    inference(resolution,[status(thm)],[156785416,156885248]),
    [] ).

cnf(165077264,plain,
    member(empty_set,power_set(A)),
    inference(resolution,[status(thm)],[156833488,164858224]),
    [] ).

fof(thI47,plain,
    ~ member(empty_set,power_set(a)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET366+4.tptp',unknown),
    [] ).

cnf(157027808,plain,
    ~ member(empty_set,power_set(a)),
    inference(rewrite,[status(thm)],[thI47]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[165077264,157027808]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(power_set,plain,(((~member(A,power_set(B))|subset(A,B))&(member(A,power_set(B))|~subset(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET366+4.tptp',unknown),[]).
% 
% cnf(156833488,plain,(member(A,power_set(B))|~subset(A,B)),inference(rewrite,[status(thm)],[power_set]),[]).
% 
% fof(subset,plain,(((~subset(A,B)|~member(C,A)|member(C,B))&(~member(x(A,B,C),B)|subset(A,B))&(member(x(A,B,C),A)|subset(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET366+4.tptp',unknown),[]).
% 
% cnf(156785416,plain,(member(x(A,B,C),A)|subset(A,B)),inference(rewrite,[status(thm)],[subset]),[]).
% 
% fof(empty_set,plain,(~member(A,empty_set)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET366+4.tptp',unknown),[]).
% 
% cnf(156885248,plain,(~member(A,empty_set)),inference(rewrite,[status(thm)],[empty_set]),[]).
% 
% cnf(164858224,plain,(subset(empty_set,A)),inference(resolution,[status(thm)],[156785416,156885248]),[]).
% 
% cnf(165077264,plain,(member(empty_set,power_set(A))),inference(resolution,[status(thm)],[156833488,164858224]),[]).
% 
% fof(thI47,plain,(~member(empty_set,power_set(a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET366+4.tptp',unknown),[]).
% 
% cnf(157027808,plain,(~member(empty_set,power_set(a))),inference(rewrite,[status(thm)],[thI47]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[165077264,157027808]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------