%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR031+3 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 06:05:35 EST 2010

% Result   : Theorem 1.30s
% Output   : CNFRefutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  11 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   29 (  17   ~;   9   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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   :   20 (   1 sgn  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( disjointwith(X1,X2)
     => collection(X2) ),
    file('/tmp/tmpHSqY9n/sel_CSR031+3.p_1',ax2_2921) ).

fof(6,axiom,
    ! [X4] :
      ~ ( collection(X4)
        & individual(X4) ),
    file('/tmp/tmpHSqY9n/sel_CSR031+3.p_1',ax2_3226) ).

fof(23,axiom,
    individual(c_tptptptpcol_16_8398),
    file('/tmp/tmpHSqY9n/sel_CSR031+3.p_1',ax2_2816) ).

fof(28,axiom,
    ! [X3,X8] :
      ( disjointwith(X3,X8)
     => disjointwith(X8,X3) ),
    file('/tmp/tmpHSqY9n/sel_CSR031+3.p_1',ax2_7584) ).

fof(44,conjecture,
    ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('/tmp/tmpHSqY9n/sel_CSR031+3.p_1',query131) ).

fof(45,negated_conjecture,
    ~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(assume_negation,[status(cth)],[44]) ).

fof(46,negated_conjecture,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(fof_simplification,[status(thm)],[45,theory(equality)]) ).

fof(47,plain,
    ! [X1,X2] :
      ( ~ disjointwith(X1,X2)
      | collection(X2) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(48,plain,
    ! [X3,X4] :
      ( ~ disjointwith(X3,X4)
      | collection(X4) ),
    inference(variable_rename,[status(thm)],[47]) ).

cnf(49,plain,
    ( collection(X1)
    | ~ disjointwith(X2,X1) ),
    inference(split_conjunct,[status(thm)],[48]) ).

fof(62,plain,
    ! [X4] :
      ( ~ collection(X4)
      | ~ individual(X4) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(63,plain,
    ! [X5] :
      ( ~ collection(X5)
      | ~ individual(X5) ),
    inference(variable_rename,[status(thm)],[62]) ).

cnf(64,plain,
    ( ~ individual(X1)
    | ~ collection(X1) ),
    inference(split_conjunct,[status(thm)],[63]) ).

cnf(106,plain,
    individual(c_tptptptpcol_16_8398),
    inference(split_conjunct,[status(thm)],[23]) ).

fof(119,plain,
    ! [X3,X8] :
      ( ~ disjointwith(X3,X8)
      | disjointwith(X8,X3) ),
    inference(fof_nnf,[status(thm)],[28]) ).

fof(120,plain,
    ! [X9,X10] :
      ( ~ disjointwith(X9,X10)
      | disjointwith(X10,X9) ),
    inference(variable_rename,[status(thm)],[119]) ).

cnf(121,plain,
    ( disjointwith(X1,X2)
    | ~ disjointwith(X2,X1) ),
    inference(split_conjunct,[status(thm)],[120]) ).

cnf(163,negated_conjecture,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(split_conjunct,[status(thm)],[46]) ).

cnf(167,plain,
    ~ collection(c_tptptptpcol_16_8398),
    inference(spm,[status(thm)],[64,106,theory(equality)]) ).

cnf(168,negated_conjecture,
    disjointwith(c_tptpcol_16_18488,c_tptptptpcol_16_8398),
    inference(spm,[status(thm)],[121,163,theory(equality)]) ).

cnf(189,negated_conjecture,
    collection(c_tptptptpcol_16_8398),
    inference(spm,[status(thm)],[49,168,theory(equality)]) ).

cnf(192,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[189,167,theory(equality)]) ).

cnf(193,negated_conjecture,
    $false,
    192,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR031+3.p
% --creating new selector for [CSR002+2.ax]
% -running prover on /tmp/tmpHSqY9n/sel_CSR031+3.p_1 with time limit 29
% -prover status Theorem
% Problem CSR031+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR031+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR031+3.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------