TSTP Solution File: RNG080+2 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : RNG080+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art05.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 02:11:06 EST 2010

% Result   : Theorem 3.26s
% Output   : CNFRefutation 3.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   77 (  31 unt;   0 def)
%            Number of atoms       :  205 ( 123 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  193 (  65   ~;  89   |;  35   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  13 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(5,axiom,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__1678_01) ).

fof(7,axiom,
    ( aScalar0(xE)
    & xE = sdtasasdt0(xp,xq) ),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__1820) ).

fof(16,axiom,
    ! [X1,X2] :
      ( ( aVector0(X1)
        & aVector0(X2) )
     => ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
          & aDimensionOf0(X2) != sz00 )
       => sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) ) ),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',mDefSPN) ).

fof(17,axiom,
    ( aScalar0(xH)
    & xH = sdtasdt0(xA,xB) ),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__1873) ).

fof(23,axiom,
    ( aScalar0(xF)
    & xF = sdtasdt0(xA,xA) ),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__1837) ).

fof(26,conjecture,
    sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__) ).

fof(28,axiom,
    ( aScalar0(xB)
    & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__1766) ).

fof(38,axiom,
    ( aScalar0(xG)
    & xG = sdtasdt0(xB,xB) ),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__1854) ).

fof(43,axiom,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__2733) ).

fof(45,axiom,
    ( aScalar0(xC)
    & xC = sdtasasdt0(xp,xp) ),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__1783) ).

fof(46,axiom,
    aDimensionOf0(xs) != sz00,
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__1692) ).

fof(47,axiom,
    ( aScalar0(xD)
    & xD = sdtasasdt0(xq,xq) ),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__1800) ).

fof(48,axiom,
    ( aVector0(xs)
    & aVector0(xt) ),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__1678) ).

fof(49,axiom,
    ( aVector0(xq)
    & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
    & ! [X1] :
        ( aNaturalNumber0(X1)
       => sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
    & xq = sziznziztdt0(xt) ),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__1726) ).

fof(51,axiom,
    ( aVector0(xp)
    & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
    & ! [X1] :
        ( aNaturalNumber0(X1)
       => sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
    & xp = sziznziztdt0(xs) ),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__1709) ).

fof(52,axiom,
    ( aScalar0(xA)
    & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
    file('/tmp/tmpmoVbNK/sel_RNG080+2.p_1',m__1746) ).

fof(60,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(assume_negation,[status(cth)],[26]) ).

fof(61,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(fof_simplification,[status(thm)],[60,theory(equality)]) ).

cnf(72,plain,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(84,plain,
    xE = sdtasasdt0(xp,xq),
    inference(split_conjunct,[status(thm)],[7]) ).

fof(114,plain,
    ! [X1,X2] :
      ( ~ aVector0(X1)
      | ~ aVector0(X2)
      | aDimensionOf0(X1) != aDimensionOf0(X2)
      | aDimensionOf0(X2) = sz00
      | sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) ),
    inference(fof_nnf,[status(thm)],[16]) ).

fof(115,plain,
    ! [X3,X4] :
      ( ~ aVector0(X3)
      | ~ aVector0(X4)
      | aDimensionOf0(X3) != aDimensionOf0(X4)
      | aDimensionOf0(X4) = sz00
      | sdtasasdt0(X3,X4) = sdtpldt0(sdtasasdt0(sziznziztdt0(X3),sziznziztdt0(X4)),sdtasdt0(sdtlbdtrb0(X3,aDimensionOf0(X3)),sdtlbdtrb0(X4,aDimensionOf0(X4)))) ),
    inference(variable_rename,[status(thm)],[114]) ).

cnf(116,plain,
    ( sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2))))
    | aDimensionOf0(X2) = sz00
    | aDimensionOf0(X1) != aDimensionOf0(X2)
    | ~ aVector0(X2)
    | ~ aVector0(X1) ),
    inference(split_conjunct,[status(thm)],[115]) ).

cnf(117,plain,
    xH = sdtasdt0(xA,xB),
    inference(split_conjunct,[status(thm)],[17]) ).

cnf(133,plain,
    xF = sdtasdt0(xA,xA),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(141,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(split_conjunct,[status(thm)],[61]) ).

cnf(145,plain,
    xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
    inference(split_conjunct,[status(thm)],[28]) ).

cnf(184,plain,
    xG = sdtasdt0(xB,xB),
    inference(split_conjunct,[status(thm)],[38]) ).

cnf(200,plain,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    inference(split_conjunct,[status(thm)],[43]) ).

cnf(206,plain,
    xC = sdtasasdt0(xp,xp),
    inference(split_conjunct,[status(thm)],[45]) ).

cnf(208,plain,
    aDimensionOf0(xs) != sz00,
    inference(split_conjunct,[status(thm)],[46]) ).

cnf(209,plain,
    xD = sdtasasdt0(xq,xq),
    inference(split_conjunct,[status(thm)],[47]) ).

cnf(211,plain,
    aVector0(xt),
    inference(split_conjunct,[status(thm)],[48]) ).

cnf(212,plain,
    aVector0(xs),
    inference(split_conjunct,[status(thm)],[48]) ).

fof(213,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)],[49]) ).

fof(214,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)],[213]) ).

fof(215,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)],[214]) ).

cnf(216,plain,
    xq = sziznziztdt0(xt),
    inference(split_conjunct,[status(thm)],[215]) ).

fof(223,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)],[51]) ).

fof(224,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)],[223]) ).

fof(225,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)],[224]) ).

cnf(226,plain,
    xp = sziznziztdt0(xs),
    inference(split_conjunct,[status(thm)],[225]) ).

cnf(230,plain,
    xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
    inference(split_conjunct,[status(thm)],[52]) ).

cnf(249,plain,
    sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
    inference(rw,[status(thm)],[145,72,theory(equality)]) ).

cnf(987,plain,
    ( sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(xs,X1)
    | aDimensionOf0(X1) = sz00
    | aDimensionOf0(xs) != aDimensionOf0(X1)
    | ~ aVector0(X1)
    | ~ aVector0(xs) ),
    inference(spm,[status(thm)],[116,226,theory(equality)]) ).

cnf(990,plain,
    ( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(X1,xt)
    | aDimensionOf0(xt) = sz00
    | aDimensionOf0(X1) != aDimensionOf0(xt)
    | ~ aVector0(xt)
    | ~ aVector0(X1) ),
    inference(spm,[status(thm)],[116,216,theory(equality)]) ).

cnf(1005,plain,
    ( sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X1)),sdtasdt0(xA,sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(xs,X1)
    | aDimensionOf0(X1) = sz00
    | aDimensionOf0(xs) != aDimensionOf0(X1)
    | ~ aVector0(X1)
    | ~ aVector0(xs) ),
    inference(rw,[status(thm)],[987,230,theory(equality)]) ).

cnf(1006,plain,
    ( sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X1)),sdtasdt0(xA,sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(xs,X1)
    | aDimensionOf0(X1) = sz00
    | aDimensionOf0(xs) != aDimensionOf0(X1)
    | ~ aVector0(X1)
    | $false ),
    inference(rw,[status(thm)],[1005,212,theory(equality)]) ).

cnf(1007,plain,
    ( sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X1)),sdtasdt0(xA,sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(xs,X1)
    | aDimensionOf0(X1) = sz00
    | aDimensionOf0(xs) != aDimensionOf0(X1)
    | ~ aVector0(X1) ),
    inference(cn,[status(thm)],[1006,theory(equality)]) ).

cnf(1016,plain,
    ( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
    | aDimensionOf0(xt) = sz00
    | aDimensionOf0(X1) != aDimensionOf0(xt)
    | ~ aVector0(xt)
    | ~ aVector0(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[990,72,theory(equality)]),249,theory(equality)]) ).

cnf(1017,plain,
    ( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
    | aDimensionOf0(xs) = sz00
    | aDimensionOf0(X1) != aDimensionOf0(xt)
    | ~ aVector0(xt)
    | ~ aVector0(X1) ),
    inference(rw,[status(thm)],[1016,72,theory(equality)]) ).

cnf(1018,plain,
    ( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
    | aDimensionOf0(xs) = sz00
    | aDimensionOf0(X1) != aDimensionOf0(xs)
    | ~ aVector0(xt)
    | ~ aVector0(X1) ),
    inference(rw,[status(thm)],[1017,72,theory(equality)]) ).

cnf(1019,plain,
    ( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
    | aDimensionOf0(xs) = sz00
    | aDimensionOf0(X1) != aDimensionOf0(xs)
    | $false
    | ~ aVector0(X1) ),
    inference(rw,[status(thm)],[1018,211,theory(equality)]) ).

cnf(1020,plain,
    ( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
    | aDimensionOf0(xs) = sz00
    | aDimensionOf0(X1) != aDimensionOf0(xs)
    | ~ aVector0(X1) ),
    inference(cn,[status(thm)],[1019,theory(equality)]) ).

cnf(1021,plain,
    ( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
    | aDimensionOf0(X1) != aDimensionOf0(xs)
    | ~ aVector0(X1) ),
    inference(sr,[status(thm)],[1020,208,theory(equality)]) ).

cnf(86991,plain,
    ( sdtpldt0(sdtasasdt0(xp,xp),sdtasdt0(xA,sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(xs,xs)
    | aDimensionOf0(xs) = sz00
    | ~ aVector0(xs) ),
    inference(spm,[status(thm)],[1007,226,theory(equality)]) ).

cnf(86992,plain,
    ( sdtpldt0(sdtasasdt0(xp,xq),sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xs,xt)
    | aDimensionOf0(xt) = sz00
    | aDimensionOf0(xs) != aDimensionOf0(xt)
    | ~ aVector0(xt) ),
    inference(spm,[status(thm)],[1007,216,theory(equality)]) ).

cnf(87052,plain,
    ( sdtpldt0(xC,xF) = sdtasasdt0(xs,xs)
    | aDimensionOf0(xs) = sz00
    | ~ aVector0(xs) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[86991,206,theory(equality)]),230,theory(equality)]),133,theory(equality)]) ).

cnf(87053,plain,
    ( sdtpldt0(xC,xF) = sdtasasdt0(xs,xs)
    | aDimensionOf0(xs) = sz00
    | $false ),
    inference(rw,[status(thm)],[87052,212,theory(equality)]) ).

cnf(87054,plain,
    ( sdtpldt0(xC,xF) = sdtasasdt0(xs,xs)
    | aDimensionOf0(xs) = sz00 ),
    inference(cn,[status(thm)],[87053,theory(equality)]) ).

cnf(87055,plain,
    sdtasasdt0(xs,xs) = sdtpldt0(xC,xF),
    inference(sr,[status(thm)],[87054,208,theory(equality)]) ).

cnf(87056,plain,
    ( sdtpldt0(xE,xH) = sdtasasdt0(xs,xt)
    | aDimensionOf0(xt) = sz00
    | aDimensionOf0(xs) != aDimensionOf0(xt)
    | ~ aVector0(xt) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[86992,84,theory(equality)]),72,theory(equality)]),249,theory(equality)]),117,theory(equality)]) ).

cnf(87057,plain,
    ( sdtpldt0(xE,xH) = sdtasasdt0(xs,xt)
    | aDimensionOf0(xs) = sz00
    | aDimensionOf0(xs) != aDimensionOf0(xt)
    | ~ aVector0(xt) ),
    inference(rw,[status(thm)],[87056,72,theory(equality)]) ).

cnf(87058,plain,
    ( sdtpldt0(xE,xH) = sdtasasdt0(xs,xt)
    | aDimensionOf0(xs) = sz00
    | $false
    | ~ aVector0(xt) ),
    inference(rw,[status(thm)],[87057,72,theory(equality)]) ).

cnf(87059,plain,
    ( sdtpldt0(xE,xH) = sdtasasdt0(xs,xt)
    | aDimensionOf0(xs) = sz00
    | $false
    | $false ),
    inference(rw,[status(thm)],[87058,211,theory(equality)]) ).

cnf(87060,plain,
    ( sdtpldt0(xE,xH) = sdtasasdt0(xs,xt)
    | aDimensionOf0(xs) = sz00 ),
    inference(cn,[status(thm)],[87059,theory(equality)]) ).

cnf(87061,plain,
    sdtasasdt0(xs,xt) = sdtpldt0(xE,xH),
    inference(sr,[status(thm)],[87060,208,theory(equality)]) ).

cnf(87123,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtpldt0(xC,xF),sdtasasdt0(xt,xt))),
    inference(rw,[status(thm)],[141,87055,theory(equality)]) ).

cnf(87169,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtasasdt0(xt,xt))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[87123,87061,theory(equality)]),87061,theory(equality)]) ).

cnf(88028,plain,
    ( sdtpldt0(sdtasasdt0(xq,xq),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),xB)) = sdtasasdt0(xt,xt)
    | aDimensionOf0(xt) != aDimensionOf0(xs)
    | ~ aVector0(xt) ),
    inference(spm,[status(thm)],[1021,216,theory(equality)]) ).

cnf(88096,plain,
    ( sdtpldt0(xD,xG) = sdtasasdt0(xt,xt)
    | aDimensionOf0(xt) != aDimensionOf0(xs)
    | ~ aVector0(xt) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[88028,209,theory(equality)]),72,theory(equality)]),249,theory(equality)]),184,theory(equality)]) ).

cnf(88097,plain,
    ( sdtpldt0(xD,xG) = sdtasasdt0(xt,xt)
    | $false
    | ~ aVector0(xt) ),
    inference(rw,[status(thm)],[88096,72,theory(equality)]) ).

cnf(88098,plain,
    ( sdtpldt0(xD,xG) = sdtasasdt0(xt,xt)
    | $false
    | $false ),
    inference(rw,[status(thm)],[88097,211,theory(equality)]) ).

cnf(88099,plain,
    sdtpldt0(xD,xG) = sdtasasdt0(xt,xt),
    inference(cn,[status(thm)],[88098,theory(equality)]) ).

cnf(88161,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[87169,88099,theory(equality)]),200,theory(equality)]) ).

cnf(88162,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[88161,theory(equality)]) ).

cnf(88163,negated_conjecture,
    $false,
    88162,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG080+2.p
% --creating new selector for []
% -running prover on /tmp/tmpmoVbNK/sel_RNG080+2.p_1 with time limit 29
% -prover status Theorem
% Problem RNG080+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG080+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG080+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
% 
%------------------------------------------------------------------------------