%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET027+4 : TPTP v3.4.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art01.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 15:25:00 EDT 2009

% Result   : Theorem 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   25 (  11   ~;  10   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :   18 (   6 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/SET027+4.tptp',unknown),
    [] ).

cnf(162599584,plain,
    ( ~ subset(A,B)
    | ~ member(C,A)
    | member(C,B) ),
    inference(rewrite,[status(thm)],[subset]),
    [] ).

fof(thI03,plain,
    ( subset(a,b)
    & subset(b,c)
    & ~ subset(a,c) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET027+4.tptp',unknown),
    [] ).

cnf(162868104,plain,
    subset(a,b),
    inference(rewrite,[status(thm)],[thI03]),
    [] ).

cnf(176100208,plain,
    ( ~ member(A,a)
    | member(A,b) ),
    inference(resolution,[status(thm)],[162599584,162868104]),
    [] ).

cnf(162584256,plain,
    ( member(x(A,B,C),A)
    | subset(A,B) ),
    inference(rewrite,[status(thm)],[subset]),
    [] ).

cnf(162852944,plain,
    ~ subset(a,c),
    inference(rewrite,[status(thm)],[thI03]),
    [] ).

cnf(176385008,plain,
    member(x(a,c,A),a),
    inference(resolution,[status(thm)],[162584256,162852944]),
    [] ).

cnf(187193864,plain,
    member(x(a,c,A),b),
    inference(resolution,[status(thm)],[176100208,176385008]),
    [] ).

cnf(162860600,plain,
    subset(b,c),
    inference(rewrite,[status(thm)],[thI03]),
    [] ).

cnf(176038408,plain,
    ( ~ member(A,b)
    | member(A,c) ),
    inference(resolution,[status(thm)],[162599584,162860600]),
    [] ).

cnf(188127688,plain,
    member(x(a,c,A),c),
    inference(resolution,[status(thm)],[187193864,176038408]),
    [] ).

cnf(162591312,plain,
    ( ~ member(x(A,B,C),B)
    | subset(A,B) ),
    inference(rewrite,[status(thm)],[subset]),
    [] ).

cnf(176399624,plain,
    ~ member(x(a,c,A),c),
    inference(resolution,[status(thm)],[162591312,162852944]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[188127688,176399624]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% 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/SET027+4.tptp',unknown),[]).
% 
% cnf(162599584,plain,(~subset(A,B)|~member(C,A)|member(C,B)),inference(rewrite,[status(thm)],[subset]),[]).
% 
% fof(thI03,plain,((subset(a,b)&subset(b,c)&~subset(a,c))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET027+4.tptp',unknown),[]).
% 
% cnf(162868104,plain,(subset(a,b)),inference(rewrite,[status(thm)],[thI03]),[]).
% 
% cnf(176100208,plain,(~member(A,a)|member(A,b)),inference(resolution,[status(thm)],[162599584,162868104]),[]).
% 
% cnf(162584256,plain,(member(x(A,B,C),A)|subset(A,B)),inference(rewrite,[status(thm)],[subset]),[]).
% 
% cnf(162852944,plain,(~subset(a,c)),inference(rewrite,[status(thm)],[thI03]),[]).
% 
% cnf(176385008,plain,(member(x(a,c,A),a)),inference(resolution,[status(thm)],[162584256,162852944]),[]).
% 
% cnf(187193864,plain,(member(x(a,c,A),b)),inference(resolution,[status(thm)],[176100208,176385008]),[]).
% 
% cnf(162860600,plain,(subset(b,c)),inference(rewrite,[status(thm)],[thI03]),[]).
% 
% cnf(176038408,plain,(~member(A,b)|member(A,c)),inference(resolution,[status(thm)],[162599584,162860600]),[]).
% 
% cnf(188127688,plain,(member(x(a,c,A),c)),inference(resolution,[status(thm)],[187193864,176038408]),[]).
% 
% cnf(162591312,plain,(~member(x(A,B,C),B)|subset(A,B)),inference(rewrite,[status(thm)],[subset]),[]).
% 
% cnf(176399624,plain,(~member(x(a,c,A),c)),inference(resolution,[status(thm)],[162591312,162852944]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[188127688,176399624]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------