%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : RNG050+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art04.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 : Sun Dec 26 01:47:27 EST 2010

% Result   : Theorem 0.19s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (  12 unt;   0 def)
%            Number of atoms       :   66 (  26 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   67 (  30   ~;  27   |;   3   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(4,axiom,
    aScalar0(sz0z00),
    file('/tmp/tmpM95PBR/sel_RNG050+1.p_1',mSZeroSc) ).

fof(9,axiom,
    aVector0(xs),
    file('/tmp/tmpM95PBR/sel_RNG050+1.p_1',m__1542) ).

fof(20,axiom,
    ! [X1,X2] :
      ( ( aVector0(X1)
        & aVector0(X2) )
     => ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
          & aDimensionOf0(X2) = sz00 )
       => sdtasasdt0(X1,X2) = sz0z00 ) ),
    file('/tmp/tmpM95PBR/sel_RNG050+1.p_1',mDefSPZ) ).

fof(30,conjecture,
    ( ( aDimensionOf0(xs) != sz00
     => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
   => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    file('/tmp/tmpM95PBR/sel_RNG050+1.p_1',m__) ).

fof(38,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => sdtlseqdt0(X1,X1) ),
    file('/tmp/tmpM95PBR/sel_RNG050+1.p_1',mLERef) ).

fof(40,negated_conjecture,
    ~ ( ( aDimensionOf0(xs) != sz00
       => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
     => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    inference(assume_negation,[status(cth)],[30]) ).

cnf(50,plain,
    aScalar0(sz0z00),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(71,plain,
    aVector0(xs),
    inference(split_conjunct,[status(thm)],[9]) ).

fof(106,plain,
    ! [X1,X2] :
      ( ~ aVector0(X1)
      | ~ aVector0(X2)
      | aDimensionOf0(X1) != aDimensionOf0(X2)
      | aDimensionOf0(X2) != sz00
      | sdtasasdt0(X1,X2) = sz0z00 ),
    inference(fof_nnf,[status(thm)],[20]) ).

fof(107,plain,
    ! [X3,X4] :
      ( ~ aVector0(X3)
      | ~ aVector0(X4)
      | aDimensionOf0(X3) != aDimensionOf0(X4)
      | aDimensionOf0(X4) != sz00
      | sdtasasdt0(X3,X4) = sz0z00 ),
    inference(variable_rename,[status(thm)],[106]) ).

cnf(108,plain,
    ( sdtasasdt0(X1,X2) = sz0z00
    | aDimensionOf0(X2) != sz00
    | aDimensionOf0(X1) != aDimensionOf0(X2)
    | ~ aVector0(X2)
    | ~ aVector0(X1) ),
    inference(split_conjunct,[status(thm)],[107]) ).

fof(150,negated_conjecture,
    ( ( aDimensionOf0(xs) = sz00
      | sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
    & ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    inference(fof_nnf,[status(thm)],[40]) ).

cnf(151,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
    inference(split_conjunct,[status(thm)],[150]) ).

cnf(152,negated_conjecture,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
    | aDimensionOf0(xs) = sz00 ),
    inference(split_conjunct,[status(thm)],[150]) ).

fof(176,plain,
    ! [X1] :
      ( ~ aScalar0(X1)
      | sdtlseqdt0(X1,X1) ),
    inference(fof_nnf,[status(thm)],[38]) ).

fof(177,plain,
    ! [X2] :
      ( ~ aScalar0(X2)
      | sdtlseqdt0(X2,X2) ),
    inference(variable_rename,[status(thm)],[176]) ).

cnf(178,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[177]) ).

cnf(182,negated_conjecture,
    aDimensionOf0(xs) = sz00,
    inference(sr,[status(thm)],[152,151,theory(equality)]) ).

cnf(305,negated_conjecture,
    ( sdtasasdt0(xs,X1) = sz0z00
    | sz00 != aDimensionOf0(X1)
    | ~ aVector0(X1)
    | ~ aVector0(xs) ),
    inference(spm,[status(thm)],[108,182,theory(equality)]) ).

cnf(307,negated_conjecture,
    ( sdtasasdt0(xs,X1) = sz0z00
    | sz00 != aDimensionOf0(X1)
    | ~ aVector0(X1)
    | $false ),
    inference(rw,[status(thm)],[305,71,theory(equality)]) ).

cnf(308,negated_conjecture,
    ( sdtasasdt0(xs,X1) = sz0z00
    | sz00 != aDimensionOf0(X1)
    | ~ aVector0(X1) ),
    inference(cn,[status(thm)],[307,theory(equality)]) ).

cnf(573,negated_conjecture,
    ( sdtasasdt0(xs,xs) = sz0z00
    | ~ aVector0(xs) ),
    inference(spm,[status(thm)],[308,182,theory(equality)]) ).

cnf(574,negated_conjecture,
    ( sdtasasdt0(xs,xs) = sz0z00
    | $false ),
    inference(rw,[status(thm)],[573,71,theory(equality)]) ).

cnf(575,negated_conjecture,
    sdtasasdt0(xs,xs) = sz0z00,
    inference(cn,[status(thm)],[574,theory(equality)]) ).

cnf(576,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sz0z00),
    inference(rw,[status(thm)],[151,575,theory(equality)]) ).

cnf(577,negated_conjecture,
    ~ aScalar0(sz0z00),
    inference(spm,[status(thm)],[576,178,theory(equality)]) ).

cnf(578,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[577,50,theory(equality)]) ).

cnf(579,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[578,theory(equality)]) ).

cnf(580,negated_conjecture,
    $false,
    579,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG050+1.p
% --creating new selector for []
% -running prover on /tmp/tmpM95PBR/sel_RNG050+1.p_1 with time limit 29
% -prover status Theorem
% Problem RNG050+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG050+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG050+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
% 
%------------------------------------------------------------------------------