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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR055+4 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art01.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 06:28:34 EST 2010

% Result   : Theorem 7.07s
% Output   : CNFRefutation 7.07s
% 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(6,axiom,
    ! [X1] :
      ~ ( collection(X1)
        & individual(X1) ),
    file('/tmp/tmp37KFKr/sel_CSR055+4.p_1',ax3_4094) ).

fof(11,axiom,
    individual(c_xskijump_thegame),
    file('/tmp/tmp37KFKr/sel_CSR055+4.p_1',ax3_27307) ).

fof(24,axiom,
    ! [X2,X10] :
      ( disjointwith(X2,X10)
     => disjointwith(X10,X2) ),
    file('/tmp/tmp37KFKr/sel_CSR055+4.p_1',ax3_41386) ).

fof(26,axiom,
    ! [X5,X9] :
      ( disjointwith(X5,X9)
     => collection(X9) ),
    file('/tmp/tmp37KFKr/sel_CSR055+4.p_1',ax3_41384) ).

fof(67,conjecture,
    ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    file('/tmp/tmp37KFKr/sel_CSR055+4.p_1',query205) ).

fof(68,negated_conjecture,
    ~ ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(assume_negation,[status(cth)],[67]) ).

fof(69,negated_conjecture,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(fof_simplification,[status(thm)],[68,theory(equality)]) ).

fof(83,plain,
    ! [X1] :
      ( ~ collection(X1)
      | ~ individual(X1) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(84,plain,
    ! [X2] :
      ( ~ collection(X2)
      | ~ individual(X2) ),
    inference(variable_rename,[status(thm)],[83]) ).

cnf(85,plain,
    ( ~ individual(X1)
    | ~ collection(X1) ),
    inference(split_conjunct,[status(thm)],[84]) ).

cnf(96,plain,
    individual(c_xskijump_thegame),
    inference(split_conjunct,[status(thm)],[11]) ).

fof(127,plain,
    ! [X2,X10] :
      ( ~ disjointwith(X2,X10)
      | disjointwith(X10,X2) ),
    inference(fof_nnf,[status(thm)],[24]) ).

fof(128,plain,
    ! [X11,X12] :
      ( ~ disjointwith(X11,X12)
      | disjointwith(X12,X11) ),
    inference(variable_rename,[status(thm)],[127]) ).

cnf(129,plain,
    ( disjointwith(X1,X2)
    | ~ disjointwith(X2,X1) ),
    inference(split_conjunct,[status(thm)],[128]) ).

fof(133,plain,
    ! [X5,X9] :
      ( ~ disjointwith(X5,X9)
      | collection(X9) ),
    inference(fof_nnf,[status(thm)],[26]) ).

fof(134,plain,
    ! [X10,X11] :
      ( ~ disjointwith(X10,X11)
      | collection(X11) ),
    inference(variable_rename,[status(thm)],[133]) ).

cnf(135,plain,
    ( collection(X1)
    | ~ disjointwith(X2,X1) ),
    inference(split_conjunct,[status(thm)],[134]) ).

cnf(239,negated_conjecture,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(split_conjunct,[status(thm)],[69]) ).

cnf(243,negated_conjecture,
    disjointwith(c_tptpcol_16_35301,c_xskijump_thegame),
    inference(spm,[status(thm)],[129,239,theory(equality)]) ).

cnf(256,plain,
    ~ collection(c_xskijump_thegame),
    inference(spm,[status(thm)],[85,96,theory(equality)]) ).

cnf(299,negated_conjecture,
    collection(c_xskijump_thegame),
    inference(spm,[status(thm)],[135,243,theory(equality)]) ).

cnf(303,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[299,256,theory(equality)]) ).

cnf(304,negated_conjecture,
    $false,
    303,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR055+4.p
% --creating new selector for [CSR002+3.ax]
% -running prover on /tmp/tmp37KFKr/sel_CSR055+4.p_1 with time limit 29
% -prover status Theorem
% Problem CSR055+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR055+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR055+4.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
% 
%------------------------------------------------------------------------------