%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : CSR031+2 : TPTP v3.4.2. Released v3.4.0.
% 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 11:39:23 EDT 2009

% Result   : Theorem 111.9s
% Output   : Refutation 111.9s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (  11   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   12 (   3 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(query81,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('/tmp/SystemOnTPTP11651/CSR031+2.p',unknown),
    [] ).

cnf(213758456,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(rewrite,[status(thm)],[query81]),
    [] ).

fof(ax1_1120,plain,
    ! [A,B] :
      ( ~ disjointwith(A,B)
      | disjointwith(B,A) ),
    file('/tmp/SystemOnTPTP11651/CSR031+2.p',unknown),
    [] ).

cnf(213304344,plain,
    ( ~ disjointwith(A,B)
    | disjointwith(B,A) ),
    inference(rewrite,[status(thm)],[ax1_1120]),
    [] ).

fof(ax1_296,plain,
    ! [A,B] :
      ( ~ disjointwith(A,B)
      | collection(B) ),
    file('/tmp/SystemOnTPTP11651/CSR031+2.p',unknown),
    [] ).

cnf(174993936,plain,
    ( ~ disjointwith(A,B)
    | collection(B) ),
    inference(rewrite,[status(thm)],[ax1_296]),
    [] ).

fof(ax1_289,plain,
    ! [A] :
      ( ~ collection(A)
      | ~ individual(A) ),
    file('/tmp/SystemOnTPTP11651/CSR031+2.p',unknown),
    [] ).

cnf(174616352,plain,
    ( ~ collection(A)
    | ~ individual(A) ),
    inference(rewrite,[status(thm)],[ax1_289]),
    [] ).

fof(ax1_447,plain,
    individual(c_tptptptpcol_16_8398),
    file('/tmp/SystemOnTPTP11651/CSR031+2.p',unknown),
    [] ).

cnf(180781112,plain,
    individual(c_tptptptpcol_16_8398),
    inference(rewrite,[status(thm)],[ax1_447]),
    [] ).

cnf(333926496,plain,
    ~ collection(c_tptptptpcol_16_8398),
    inference(resolution,[status(thm)],[174616352,180781112]),
    [] ).

cnf(649640752,plain,
    ~ disjointwith(A,c_tptptptpcol_16_8398),
    inference(resolution,[status(thm)],[174993936,333926496]),
    [] ).

cnf(702248840,plain,
    ~ disjointwith(c_tptptptpcol_16_8398,A),
    inference(resolution,[status(thm)],[213304344,649640752]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[213758456,702248840]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 112 seconds
% START OF PROOF SEQUENCE
% fof(query81,plain,(disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488)),file('/tmp/SystemOnTPTP11651/CSR031+2.p',unknown),[]).
% 
% cnf(213758456,plain,(disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488)),inference(rewrite,[status(thm)],[query81]),[]).
% 
% fof(ax1_1120,plain,(~disjointwith(A,B)|disjointwith(B,A)),file('/tmp/SystemOnTPTP11651/CSR031+2.p',unknown),[]).
% 
% cnf(213304344,plain,(~disjointwith(A,B)|disjointwith(B,A)),inference(rewrite,[status(thm)],[ax1_1120]),[]).
% 
% fof(ax1_296,plain,(~disjointwith(A,B)|collection(B)),file('/tmp/SystemOnTPTP11651/CSR031+2.p',unknown),[]).
% 
% cnf(174993936,plain,(~disjointwith(A,B)|collection(B)),inference(rewrite,[status(thm)],[ax1_296]),[]).
% 
% fof(ax1_289,plain,(~collection(A)|~individual(A)),file('/tmp/SystemOnTPTP11651/CSR031+2.p',unknown),[]).
% 
% cnf(174616352,plain,(~collection(A)|~individual(A)),inference(rewrite,[status(thm)],[ax1_289]),[]).
% 
% fof(ax1_447,plain,(individual(c_tptptptpcol_16_8398)),file('/tmp/SystemOnTPTP11651/CSR031+2.p',unknown),[]).
% 
% cnf(180781112,plain,(individual(c_tptptptpcol_16_8398)),inference(rewrite,[status(thm)],[ax1_447]),[]).
% 
% cnf(333926496,plain,(~collection(c_tptptptpcol_16_8398)),inference(resolution,[status(thm)],[174616352,180781112]),[]).
% 
% cnf(649640752,plain,(~disjointwith(A,c_tptptptpcol_16_8398)),inference(resolution,[status(thm)],[174993936,333926496]),[]).
% 
% cnf(702248840,plain,(~disjointwith(c_tptptptpcol_16_8398,A)),inference(resolution,[status(thm)],[213304344,649640752]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[213758456,702248840]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------