TSTP Solution File: RNG071+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : RNG071+2 : TPTP v5.0.0. Released v4.0.0.
% 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 : Sun Dec 26 02:04:39 EST 2010

% Result   : Theorem 0.34s
% Output   : CNFRefutation 0.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  130 (  33 unt;   0 def)
%            Number of atoms       :  396 (  39 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  458 ( 192   ~; 206   |;  49   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  16 con; 0-2 aty)
%            Number of variables   :   73 (   0 sgn  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(4,axiom,
    aScalar0(sz0z00),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mSZeroSc) ).

fof(12,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( ( sdtlseqdt0(sz0z00,X1)
          & sdtlseqdt0(sz0z00,X2) )
       => ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
          & sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mPosMon) ).

fof(20,axiom,
    ! [X1,X2,X3] :
      ( ( aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X3) )
       => sdtlseqdt0(X1,X3) ) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mLETrn) ).

fof(21,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( sdtlseqdt0(X1,X2)
        | sdtlseqdt0(X2,X1) ) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mLETot) ).

fof(24,axiom,
    ( aScalar0(xP)
    & xP = sdtasdt0(xE,xH) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1911) ).

fof(25,axiom,
    ( aScalar0(xF)
    & xF = sdtasdt0(xA,xA) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1837) ).

fof(29,axiom,
    ( aScalar0(xB)
    & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1766) ).

fof(34,axiom,
    ! [X1] :
      ( aVector0(X1)
     => sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mScSqPos) ).

fof(37,axiom,
    ( aScalar0(xR)
    & xR = sdtasdt0(xC,xG) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1892) ).

fof(38,axiom,
    ! [X1,X2,X3,X4] :
      ( ( aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3)
        & aScalar0(X4) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X3,X4) )
       => sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mLEMon) ).

fof(39,axiom,
    ( aScalar0(xS)
    & xS = sdtasdt0(xF,xD) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1930) ).

fof(41,axiom,
    ( aScalar0(xG)
    & xG = sdtasdt0(xB,xB) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1854) ).

fof(46,conjecture,
    ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    & sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__) ).

fof(48,axiom,
    ( aScalar0(xC)
    & xC = sdtasasdt0(xp,xp) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1783) ).

fof(50,axiom,
    ( aScalar0(xD)
    & xD = sdtasasdt0(xq,xq) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1800) ).

fof(52,axiom,
    ( aVector0(xq)
    & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
    & ! [X1] :
        ( aNaturalNumber0(X1)
       => sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
    & xq = sziznziztdt0(xt) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1726) ).

fof(53,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mSqPos) ).

fof(54,axiom,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__2590) ).

fof(55,axiom,
    ( aVector0(xp)
    & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
    & ! [X1] :
        ( aNaturalNumber0(X1)
       => sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
    & xp = sziznziztdt0(xs) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1709) ).

fof(56,axiom,
    ( aScalar0(xA)
    & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
    file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1746) ).

fof(63,negated_conjecture,
    ~ ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
      & sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    inference(assume_negation,[status(cth)],[46]) ).

fof(64,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(fof_simplification,[status(thm)],[54,theory(equality)]) ).

cnf(74,plain,
    aScalar0(sz0z00),
    inference(split_conjunct,[status(thm)],[4]) ).

fof(99,plain,
    ! [X1,X2] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
        & sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(100,plain,
    ! [X3,X4] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X4)
      | ~ sdtlseqdt0(sz0z00,X3)
      | ~ sdtlseqdt0(sz0z00,X4)
      | ( sdtlseqdt0(sz0z00,sdtpldt0(X3,X4))
        & sdtlseqdt0(sz0z00,sdtasdt0(X3,X4)) ) ),
    inference(variable_rename,[status(thm)],[99]) ).

fof(101,plain,
    ! [X3,X4] :
      ( ( sdtlseqdt0(sz0z00,sdtpldt0(X3,X4))
        | ~ sdtlseqdt0(sz0z00,X3)
        | ~ sdtlseqdt0(sz0z00,X4)
        | ~ aScalar0(X3)
        | ~ aScalar0(X4) )
      & ( sdtlseqdt0(sz0z00,sdtasdt0(X3,X4))
        | ~ sdtlseqdt0(sz0z00,X3)
        | ~ sdtlseqdt0(sz0z00,X4)
        | ~ aScalar0(X3)
        | ~ aScalar0(X4) ) ),
    inference(distribute,[status(thm)],[100]) ).

cnf(102,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(sz0z00,X2) ),
    inference(split_conjunct,[status(thm)],[101]) ).

cnf(103,plain,
    ( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(sz0z00,X2) ),
    inference(split_conjunct,[status(thm)],[101]) ).

fof(124,plain,
    ! [X1,X2,X3] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X3)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X2,X3)
      | sdtlseqdt0(X1,X3) ),
    inference(fof_nnf,[status(thm)],[20]) ).

fof(125,plain,
    ! [X4,X5,X6] :
      ( ~ aScalar0(X4)
      | ~ aScalar0(X5)
      | ~ aScalar0(X6)
      | ~ sdtlseqdt0(X4,X5)
      | ~ sdtlseqdt0(X5,X6)
      | sdtlseqdt0(X4,X6) ),
    inference(variable_rename,[status(thm)],[124]) ).

cnf(126,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[125]) ).

fof(127,plain,
    ! [X1,X2] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | sdtlseqdt0(X1,X2)
      | sdtlseqdt0(X2,X1) ),
    inference(fof_nnf,[status(thm)],[21]) ).

fof(128,plain,
    ! [X3,X4] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X4)
      | sdtlseqdt0(X3,X4)
      | sdtlseqdt0(X4,X3) ),
    inference(variable_rename,[status(thm)],[127]) ).

cnf(129,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[128]) ).

cnf(137,plain,
    aScalar0(xP),
    inference(split_conjunct,[status(thm)],[24]) ).

cnf(138,plain,
    xF = sdtasdt0(xA,xA),
    inference(split_conjunct,[status(thm)],[25]) ).

cnf(139,plain,
    aScalar0(xF),
    inference(split_conjunct,[status(thm)],[25]) ).

cnf(150,plain,
    aScalar0(xB),
    inference(split_conjunct,[status(thm)],[29]) ).

fof(170,plain,
    ! [X1] :
      ( ~ aVector0(X1)
      | sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
    inference(fof_nnf,[status(thm)],[34]) ).

fof(171,plain,
    ! [X2] :
      ( ~ aVector0(X2)
      | sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2)) ),
    inference(variable_rename,[status(thm)],[170]) ).

cnf(172,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    inference(split_conjunct,[status(thm)],[171]) ).

cnf(180,plain,
    xR = sdtasdt0(xC,xG),
    inference(split_conjunct,[status(thm)],[37]) ).

cnf(181,plain,
    aScalar0(xR),
    inference(split_conjunct,[status(thm)],[37]) ).

fof(182,plain,
    ! [X1,X2,X3,X4] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X3)
      | ~ aScalar0(X4)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X3,X4)
      | sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ),
    inference(fof_nnf,[status(thm)],[38]) ).

fof(183,plain,
    ! [X5,X6,X7,X8] :
      ( ~ aScalar0(X5)
      | ~ aScalar0(X6)
      | ~ aScalar0(X7)
      | ~ aScalar0(X8)
      | ~ sdtlseqdt0(X5,X6)
      | ~ sdtlseqdt0(X7,X8)
      | sdtlseqdt0(sdtpldt0(X5,X7),sdtpldt0(X6,X8)) ),
    inference(variable_rename,[status(thm)],[182]) ).

cnf(184,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[183]) ).

cnf(185,plain,
    xS = sdtasdt0(xF,xD),
    inference(split_conjunct,[status(thm)],[39]) ).

cnf(186,plain,
    aScalar0(xS),
    inference(split_conjunct,[status(thm)],[39]) ).

cnf(190,plain,
    xG = sdtasdt0(xB,xB),
    inference(split_conjunct,[status(thm)],[41]) ).

cnf(191,plain,
    aScalar0(xG),
    inference(split_conjunct,[status(thm)],[41]) ).

fof(206,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    inference(fof_nnf,[status(thm)],[63]) ).

cnf(207,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    inference(split_conjunct,[status(thm)],[206]) ).

cnf(213,plain,
    xC = sdtasasdt0(xp,xp),
    inference(split_conjunct,[status(thm)],[48]) ).

cnf(214,plain,
    aScalar0(xC),
    inference(split_conjunct,[status(thm)],[48]) ).

cnf(216,plain,
    xD = sdtasasdt0(xq,xq),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(217,plain,
    aScalar0(xD),
    inference(split_conjunct,[status(thm)],[50]) ).

fof(220,plain,
    ( aVector0(xq)
    & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
    & ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
    & xq = sziznziztdt0(xt) ),
    inference(fof_nnf,[status(thm)],[52]) ).

fof(221,plain,
    ( aVector0(xq)
    & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
    & ! [X2] :
        ( ~ aNaturalNumber0(X2)
        | sdtlbdtrb0(xq,X2) = sdtlbdtrb0(xt,X2) )
    & xq = sziznziztdt0(xt) ),
    inference(variable_rename,[status(thm)],[220]) ).

fof(222,plain,
    ! [X2] :
      ( ( ~ aNaturalNumber0(X2)
        | sdtlbdtrb0(xq,X2) = sdtlbdtrb0(xt,X2) )
      & aVector0(xq)
      & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
      & xq = sziznziztdt0(xt) ),
    inference(shift_quantors,[status(thm)],[221]) ).

cnf(225,plain,
    aVector0(xq),
    inference(split_conjunct,[status(thm)],[222]) ).

fof(227,plain,
    ! [X1] :
      ( ~ aScalar0(X1)
      | sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
    inference(fof_nnf,[status(thm)],[53]) ).

fof(228,plain,
    ! [X2] :
      ( ~ aScalar0(X2)
      | sdtlseqdt0(sz0z00,sdtasdt0(X2,X2)) ),
    inference(variable_rename,[status(thm)],[227]) ).

cnf(229,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[228]) ).

cnf(230,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(split_conjunct,[status(thm)],[64]) ).

fof(231,plain,
    ( aVector0(xp)
    & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
    & ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
    & xp = sziznziztdt0(xs) ),
    inference(fof_nnf,[status(thm)],[55]) ).

fof(232,plain,
    ( aVector0(xp)
    & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
    & ! [X2] :
        ( ~ aNaturalNumber0(X2)
        | sdtlbdtrb0(xp,X2) = sdtlbdtrb0(xs,X2) )
    & xp = sziznziztdt0(xs) ),
    inference(variable_rename,[status(thm)],[231]) ).

fof(233,plain,
    ! [X2] :
      ( ( ~ aNaturalNumber0(X2)
        | sdtlbdtrb0(xp,X2) = sdtlbdtrb0(xs,X2) )
      & aVector0(xp)
      & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
      & xp = sziznziztdt0(xs) ),
    inference(shift_quantors,[status(thm)],[232]) ).

cnf(236,plain,
    aVector0(xp),
    inference(split_conjunct,[status(thm)],[233]) ).

cnf(239,plain,
    aScalar0(xA),
    inference(split_conjunct,[status(thm)],[56]) ).

cnf(278,plain,
    ( sdtlseqdt0(sz0z00,xF)
    | ~ aScalar0(xA) ),
    inference(spm,[status(thm)],[229,138,theory(equality)]) ).

cnf(279,plain,
    ( sdtlseqdt0(sz0z00,xG)
    | ~ aScalar0(xB) ),
    inference(spm,[status(thm)],[229,190,theory(equality)]) ).

cnf(282,plain,
    ( sdtlseqdt0(sz0z00,xF)
    | $false ),
    inference(rw,[status(thm)],[278,239,theory(equality)]) ).

cnf(283,plain,
    sdtlseqdt0(sz0z00,xF),
    inference(cn,[status(thm)],[282,theory(equality)]) ).

cnf(284,plain,
    ( sdtlseqdt0(sz0z00,xG)
    | $false ),
    inference(rw,[status(thm)],[279,150,theory(equality)]) ).

cnf(285,plain,
    sdtlseqdt0(sz0z00,xG),
    inference(cn,[status(thm)],[284,theory(equality)]) ).

cnf(290,plain,
    ( sdtlseqdt0(sz0z00,xC)
    | ~ aVector0(xp) ),
    inference(spm,[status(thm)],[172,213,theory(equality)]) ).

cnf(291,plain,
    ( sdtlseqdt0(sz0z00,xD)
    | ~ aVector0(xq) ),
    inference(spm,[status(thm)],[172,216,theory(equality)]) ).

cnf(292,plain,
    ( sdtlseqdt0(sz0z00,xC)
    | $false ),
    inference(rw,[status(thm)],[290,236,theory(equality)]) ).

cnf(293,plain,
    sdtlseqdt0(sz0z00,xC),
    inference(cn,[status(thm)],[292,theory(equality)]) ).

cnf(294,plain,
    ( sdtlseqdt0(sz0z00,xD)
    | $false ),
    inference(rw,[status(thm)],[291,225,theory(equality)]) ).

cnf(295,plain,
    sdtlseqdt0(sz0z00,xD),
    inference(cn,[status(thm)],[294,theory(equality)]) ).

cnf(307,plain,
    ( sdtlseqdt0(X1,sz0z00)
    | sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[129,74,theory(equality)]) ).

cnf(410,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xS)
    | ~ aScalar0(xR)
    | ~ aScalar0(xS) ),
    inference(spm,[status(thm)],[207,103,theory(equality)]) ).

cnf(417,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xS)
    | $false
    | ~ aScalar0(xS) ),
    inference(rw,[status(thm)],[410,181,theory(equality)]) ).

cnf(418,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xS)
    | $false
    | $false ),
    inference(rw,[status(thm)],[417,186,theory(equality)]) ).

cnf(419,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xS) ),
    inference(cn,[status(thm)],[418,theory(equality)]) ).

cnf(425,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ sdtlseqdt0(sz0z00,xD)
    | ~ aScalar0(xF)
    | ~ aScalar0(xD) ),
    inference(spm,[status(thm)],[102,185,theory(equality)]) ).

cnf(426,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ aScalar0(xC)
    | ~ aScalar0(xG) ),
    inference(spm,[status(thm)],[102,180,theory(equality)]) ).

cnf(439,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ sdtlseqdt0(sz0z00,xD)
    | $false
    | ~ aScalar0(xD) ),
    inference(rw,[status(thm)],[425,139,theory(equality)]) ).

cnf(440,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ sdtlseqdt0(sz0z00,xD)
    | $false
    | $false ),
    inference(rw,[status(thm)],[439,217,theory(equality)]) ).

cnf(441,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ sdtlseqdt0(sz0z00,xD) ),
    inference(cn,[status(thm)],[440,theory(equality)]) ).

cnf(442,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ sdtlseqdt0(sz0z00,xG)
    | $false
    | ~ aScalar0(xG) ),
    inference(rw,[status(thm)],[426,214,theory(equality)]) ).

cnf(443,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ sdtlseqdt0(sz0z00,xG)
    | $false
    | $false ),
    inference(rw,[status(thm)],[442,191,theory(equality)]) ).

cnf(444,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ sdtlseqdt0(sz0z00,xG) ),
    inference(cn,[status(thm)],[443,theory(equality)]) ).

cnf(730,plain,
    ( ~ sdtlseqdt0(xP,xS)
    | ~ sdtlseqdt0(xP,xR)
    | ~ aScalar0(xS)
    | ~ aScalar0(xR)
    | ~ aScalar0(xP) ),
    inference(spm,[status(thm)],[230,184,theory(equality)]) ).

cnf(743,plain,
    ( ~ sdtlseqdt0(xP,xS)
    | ~ sdtlseqdt0(xP,xR)
    | $false
    | ~ aScalar0(xR)
    | ~ aScalar0(xP) ),
    inference(rw,[status(thm)],[730,186,theory(equality)]) ).

cnf(744,plain,
    ( ~ sdtlseqdt0(xP,xS)
    | ~ sdtlseqdt0(xP,xR)
    | $false
    | $false
    | ~ aScalar0(xP) ),
    inference(rw,[status(thm)],[743,181,theory(equality)]) ).

cnf(745,plain,
    ( ~ sdtlseqdt0(xP,xS)
    | ~ sdtlseqdt0(xP,xR)
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[744,137,theory(equality)]) ).

cnf(746,plain,
    ( ~ sdtlseqdt0(xP,xS)
    | ~ sdtlseqdt0(xP,xR) ),
    inference(cn,[status(thm)],[745,theory(equality)]) ).

cnf(1264,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xP)
    | ~ aScalar0(xP) ),
    inference(spm,[status(thm)],[419,103,theory(equality)]) ).

cnf(1265,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xP)
    | $false ),
    inference(rw,[status(thm)],[1264,137,theory(equality)]) ).

cnf(1266,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xP) ),
    inference(cn,[status(thm)],[1265,theory(equality)]) ).

cnf(1482,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | $false
    | ~ sdtlseqdt0(sz0z00,xD) ),
    inference(rw,[status(thm)],[441,283,theory(equality)]) ).

cnf(1483,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | $false
    | $false ),
    inference(rw,[status(thm)],[1482,295,theory(equality)]) ).

cnf(1484,plain,
    sdtlseqdt0(sz0z00,xS),
    inference(cn,[status(thm)],[1483,theory(equality)]) ).

cnf(1486,plain,
    ( sdtlseqdt0(X1,xS)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xS)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[126,1484,theory(equality)]) ).

cnf(1490,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,xR)
    | $false
    | ~ sdtlseqdt0(sz0z00,xP) ),
    inference(rw,[status(thm)],[1266,1484,theory(equality)]) ).

cnf(1491,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xP) ),
    inference(cn,[status(thm)],[1490,theory(equality)]) ).

cnf(1497,plain,
    ( sdtlseqdt0(X1,xS)
    | ~ sdtlseqdt0(X1,sz0z00)
    | $false
    | ~ aScalar0(xS)
    | ~ aScalar0(X1) ),
    inference(rw,[status(thm)],[1486,74,theory(equality)]) ).

cnf(1498,plain,
    ( sdtlseqdt0(X1,xS)
    | ~ sdtlseqdt0(X1,sz0z00)
    | $false
    | $false
    | ~ aScalar0(X1) ),
    inference(rw,[status(thm)],[1497,186,theory(equality)]) ).

cnf(1499,plain,
    ( sdtlseqdt0(X1,xS)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[1498,theory(equality)]) ).

cnf(1516,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | $false
    | ~ sdtlseqdt0(sz0z00,xG) ),
    inference(rw,[status(thm)],[444,293,theory(equality)]) ).

cnf(1517,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | $false
    | $false ),
    inference(rw,[status(thm)],[1516,285,theory(equality)]) ).

cnf(1518,plain,
    sdtlseqdt0(sz0z00,xR),
    inference(cn,[status(thm)],[1517,theory(equality)]) ).

cnf(1520,plain,
    ( sdtlseqdt0(X1,xR)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xR)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[126,1518,theory(equality)]) ).

cnf(1526,negated_conjecture,
    ( $false
    | ~ sdtlseqdt0(sz0z00,xP) ),
    inference(rw,[status(thm)],[1491,1518,theory(equality)]) ).

cnf(1527,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,xP),
    inference(cn,[status(thm)],[1526,theory(equality)]) ).

cnf(1533,plain,
    ( sdtlseqdt0(X1,xR)
    | ~ sdtlseqdt0(X1,sz0z00)
    | $false
    | ~ aScalar0(xR)
    | ~ aScalar0(X1) ),
    inference(rw,[status(thm)],[1520,74,theory(equality)]) ).

cnf(1534,plain,
    ( sdtlseqdt0(X1,xR)
    | ~ sdtlseqdt0(X1,sz0z00)
    | $false
    | $false
    | ~ aScalar0(X1) ),
    inference(rw,[status(thm)],[1533,181,theory(equality)]) ).

cnf(1535,plain,
    ( sdtlseqdt0(X1,xR)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[1534,theory(equality)]) ).

cnf(1781,plain,
    ( ~ sdtlseqdt0(xP,xR)
    | ~ sdtlseqdt0(xP,sz0z00)
    | ~ aScalar0(xP) ),
    inference(spm,[status(thm)],[746,1499,theory(equality)]) ).

cnf(1790,plain,
    ( ~ sdtlseqdt0(xP,xR)
    | ~ sdtlseqdt0(xP,sz0z00)
    | $false ),
    inference(rw,[status(thm)],[1781,137,theory(equality)]) ).

cnf(1791,plain,
    ( ~ sdtlseqdt0(xP,xR)
    | ~ sdtlseqdt0(xP,sz0z00) ),
    inference(cn,[status(thm)],[1790,theory(equality)]) ).

cnf(1813,plain,
    ( ~ sdtlseqdt0(xP,sz0z00)
    | ~ aScalar0(xP) ),
    inference(spm,[status(thm)],[1791,1535,theory(equality)]) ).

cnf(1822,plain,
    ( ~ sdtlseqdt0(xP,sz0z00)
    | $false ),
    inference(rw,[status(thm)],[1813,137,theory(equality)]) ).

cnf(1823,plain,
    ~ sdtlseqdt0(xP,sz0z00),
    inference(cn,[status(thm)],[1822,theory(equality)]) ).

cnf(1901,plain,
    ( sdtlseqdt0(sz0z00,xP)
    | sdtlseqdt0(xP,sz0z00) ),
    inference(spm,[status(thm)],[307,137,theory(equality)]) ).

cnf(1922,plain,
    sdtlseqdt0(xP,sz0z00),
    inference(sr,[status(thm)],[1901,1527,theory(equality)]) ).

cnf(1923,plain,
    $false,
    inference(sr,[status(thm)],[1922,1823,theory(equality)]) ).

cnf(1924,plain,
    $false,
    1923,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG071+2.p
% --creating new selector for []
% -running prover on /tmp/tmp_DGzXY/sel_RNG071+2.p_1 with time limit 29
% -prover status Theorem
% Problem RNG071+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG071+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG071+2.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
% 
%------------------------------------------------------------------------------