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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR031+1 : 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 06:05:28 EST 2010

% Result   : Theorem 0.20s
% Output   : CNFRefutation 0.20s
% 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(26,axiom,
    individual(c_tptptptpcol_16_8398),
    file('/tmp/tmpgq2dds/sel_CSR031+1.p_1',just6) ).

fof(28,axiom,
    ! [X11] :
      ~ ( collection(X11)
        & individual(X11) ),
    file('/tmp/tmpgq2dds/sel_CSR031+1.p_1',just4) ).

fof(31,conjecture,
    ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('/tmp/tmpgq2dds/sel_CSR031+1.p_1',query31) ).

fof(37,axiom,
    ! [X6,X5] :
      ( disjointwith(X6,X5)
     => collection(X5) ),
    file('/tmp/tmpgq2dds/sel_CSR031+1.p_1',just10) ).

fof(50,axiom,
    ! [X1,X2] :
      ( disjointwith(X1,X2)
     => disjointwith(X2,X1) ),
    file('/tmp/tmpgq2dds/sel_CSR031+1.p_1',just35) ).

fof(57,negated_conjecture,
    ~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(assume_negation,[status(cth)],[31]) ).

fof(58,negated_conjecture,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(fof_simplification,[status(thm)],[57,theory(equality)]) ).

cnf(124,plain,
    individual(c_tptptptpcol_16_8398),
    inference(split_conjunct,[status(thm)],[26]) ).

fof(126,plain,
    ! [X11] :
      ( ~ collection(X11)
      | ~ individual(X11) ),
    inference(fof_nnf,[status(thm)],[28]) ).

fof(127,plain,
    ! [X12] :
      ( ~ collection(X12)
      | ~ individual(X12) ),
    inference(variable_rename,[status(thm)],[126]) ).

cnf(128,plain,
    ( ~ individual(X1)
    | ~ collection(X1) ),
    inference(split_conjunct,[status(thm)],[127]) ).

cnf(133,negated_conjecture,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(split_conjunct,[status(thm)],[58]) ).

fof(149,plain,
    ! [X6,X5] :
      ( ~ disjointwith(X6,X5)
      | collection(X5) ),
    inference(fof_nnf,[status(thm)],[37]) ).

fof(150,plain,
    ! [X7,X8] :
      ( ~ disjointwith(X7,X8)
      | collection(X8) ),
    inference(variable_rename,[status(thm)],[149]) ).

cnf(151,plain,
    ( collection(X1)
    | ~ disjointwith(X2,X1) ),
    inference(split_conjunct,[status(thm)],[150]) ).

fof(186,plain,
    ! [X1,X2] :
      ( ~ disjointwith(X1,X2)
      | disjointwith(X2,X1) ),
    inference(fof_nnf,[status(thm)],[50]) ).

fof(187,plain,
    ! [X3,X4] :
      ( ~ disjointwith(X3,X4)
      | disjointwith(X4,X3) ),
    inference(variable_rename,[status(thm)],[186]) ).

cnf(188,plain,
    ( disjointwith(X1,X2)
    | ~ disjointwith(X2,X1) ),
    inference(split_conjunct,[status(thm)],[187]) ).

cnf(205,negated_conjecture,
    disjointwith(c_tptpcol_16_18488,c_tptptptpcol_16_8398),
    inference(spm,[status(thm)],[188,133,theory(equality)]) ).

cnf(212,plain,
    ~ collection(c_tptptptpcol_16_8398),
    inference(spm,[status(thm)],[128,124,theory(equality)]) ).

cnf(238,negated_conjecture,
    collection(c_tptptptpcol_16_8398),
    inference(spm,[status(thm)],[151,205,theory(equality)]) ).

cnf(242,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[238,212,theory(equality)]) ).

cnf(243,negated_conjecture,
    $false,
    242,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR031+1.p
% --creating new selector for [CSR002+0.ax]
% -running prover on /tmp/tmpgq2dds/sel_CSR031+1.p_1 with time limit 29
% -prover status Theorem
% Problem CSR031+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR031+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR031+1.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
% 
%------------------------------------------------------------------------------