%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SEU121+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 15:46:58 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   27 (  13   ~;  10   |;   4   &)
%                                         (   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;   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(d3_tarski,plain,
    ! [A,B,C] :
      ( ( ~ subset(A,B)
        | ~ in(C,A)
        | in(C,B) )
      & ( ~ in(c(A,B,C),B)
        | subset(A,B) )
      & ( in(c(A,B,C),A)
        | subset(A,B) ) ),
    file('/tmp/SystemOnTPTP9297/SEU121+1.p',unknown),
    [] ).

cnf(163033392,plain,
    ( in(c(A,B,C),A)
    | subset(A,B) ),
    inference(rewrite,[status(thm)],[d3_tarski]),
    [] ).

fof(t1_xboole_1,plain,
    ( subset(a,b)
    & subset(b,c)
    & ~ subset(a,c) ),
    file('/tmp/SystemOnTPTP9297/SEU121+1.p',unknown),
    [] ).

cnf(163128488,plain,
    ~ subset(a,c),
    inference(rewrite,[status(thm)],[t1_xboole_1]),
    [] ).

cnf(176373288,plain,
    in(c(a,c,A),a),
    inference(resolution,[status(thm)],[163033392,163128488]),
    [] ).

cnf(163047296,plain,
    ( ~ subset(A,B)
    | ~ in(C,A)
    | in(C,B) ),
    inference(rewrite,[status(thm)],[d3_tarski]),
    [] ).

cnf(163146848,plain,
    subset(a,b),
    inference(rewrite,[status(thm)],[t1_xboole_1]),
    [] ).

cnf(176605912,plain,
    ( ~ in(A,a)
    | in(A,b) ),
    inference(resolution,[status(thm)],[163047296,163146848]),
    [] ).

cnf(163039304,plain,
    ( ~ in(c(A,B,C),B)
    | subset(A,B) ),
    inference(rewrite,[status(thm)],[d3_tarski]),
    [] ).

cnf(176386960,plain,
    ~ in(c(a,c,A),c),
    inference(resolution,[status(thm)],[163039304,163128488]),
    [] ).

cnf(176454792,plain,
    ( ~ subset(A,c)
    | ~ in(c(a,c,B),A) ),
    inference(resolution,[status(thm)],[163047296,176386960]),
    [] ).

cnf(163139832,plain,
    subset(b,c),
    inference(rewrite,[status(thm)],[t1_xboole_1]),
    [] ).

cnf(176468464,plain,
    ~ in(c(a,c,A),b),
    inference(resolution,[status(thm)],[176454792,163139832]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[176373288,176605912,176468464]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(d3_tarski,plain,(((~subset(A,B)|~in(C,A)|in(C,B))&(~in(c(A,B,C),B)|subset(A,B))&(in(c(A,B,C),A)|subset(A,B)))),file('/tmp/SystemOnTPTP9297/SEU121+1.p',unknown),[]).
% 
% cnf(163033392,plain,(in(c(A,B,C),A)|subset(A,B)),inference(rewrite,[status(thm)],[d3_tarski]),[]).
% 
% fof(t1_xboole_1,plain,((subset(a,b)&subset(b,c)&~subset(a,c))),file('/tmp/SystemOnTPTP9297/SEU121+1.p',unknown),[]).
% 
% cnf(163128488,plain,(~subset(a,c)),inference(rewrite,[status(thm)],[t1_xboole_1]),[]).
% 
% cnf(176373288,plain,(in(c(a,c,A),a)),inference(resolution,[status(thm)],[163033392,163128488]),[]).
% 
% cnf(163047296,plain,(~subset(A,B)|~in(C,A)|in(C,B)),inference(rewrite,[status(thm)],[d3_tarski]),[]).
% 
% cnf(163146848,plain,(subset(a,b)),inference(rewrite,[status(thm)],[t1_xboole_1]),[]).
% 
% cnf(176605912,plain,(~in(A,a)|in(A,b)),inference(resolution,[status(thm)],[163047296,163146848]),[]).
% 
% cnf(163039304,plain,(~in(c(A,B,C),B)|subset(A,B)),inference(rewrite,[status(thm)],[d3_tarski]),[]).
% 
% cnf(176386960,plain,(~in(c(a,c,A),c)),inference(resolution,[status(thm)],[163039304,163128488]),[]).
% 
% cnf(176454792,plain,(~subset(A,c)|~in(c(a,c,B),A)),inference(resolution,[status(thm)],[163047296,176386960]),[]).
% 
% cnf(163139832,plain,(subset(b,c)),inference(rewrite,[status(thm)],[t1_xboole_1]),[]).
% 
% cnf(176468464,plain,(~in(c(a,c,A),b)),inference(resolution,[status(thm)],[176454792,163139832]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[176373288,176605912,176468464]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------