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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : NUM473+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 08:12:51 AM UTC 2026

% Result   : Theorem 78.07s 16.80s
% Output   : CNFRefutation 78.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   96 (  28 unt;   1 def)
%            Number of atoms       :  314 ( 119 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  363 ( 145   ~; 172   |;  32   &)
%                                         (   1 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   48 (   0 sgn  16   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mSortsC,axiom,
    aNaturalNumber0(sz00) ).

fof(mSortsB_02,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ) ).

fof(m_AddZero,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( X0 = sdtpldt0(sz00,X0)
        & sdtpldt0(X0,sz00) = X0 ) ) ).

fof(mMulCanc,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( X0 != sz00
       => ! [X1,X2] :
            ( ( aNaturalNumber0(X2)
              & aNaturalNumber0(X1) )
           => ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
                | sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
             => X1 = X2 ) ) ) ) ).

fof(mLEAsym,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ) ).

fof(mLETotal,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & X1 != X0 )
        | sdtlseqdt0(X0,X1) ) ) ).

fof(mMonMul,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & X1 != X2
          & X0 != sz00 )
       => ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
          & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
          & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
          & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ) ).

fof(mDefQuot,definition,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,X1)
          & X0 != sz00 )
       => ! [X2] :
            ( X2 = sdtsldt0(X1,X0)
          <=> ( X1 = sdtasdt0(X0,X2)
              & aNaturalNumber0(X2) ) ) ) ) ).

fof(m__1324,hypothesis,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xl) ) ).

fof(m__1324_04,hypothesis,
    ( doDivides0(xl,sdtpldt0(xm,xn))
    & ? [X0] :
        ( sdtpldt0(xm,xn) = sdtasdt0(xl,X0)
        & aNaturalNumber0(X0) )
    & doDivides0(xl,xm)
    & ? [X0] :
        ( xm = sdtasdt0(xl,X0)
        & aNaturalNumber0(X0) ) ) ).

fof(m__1347,hypothesis,
    xl != sz00 ).

fof(m__1360,hypothesis,
    ( xp = sdtsldt0(xm,xl)
    & xm = sdtasdt0(xl,xp)
    & aNaturalNumber0(xp) ) ).

fof(m__1379,hypothesis,
    ( xq = sdtsldt0(sdtpldt0(xm,xn),xl)
    & sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    & aNaturalNumber0(xq) ) ).

fof(m__1409,hypothesis,
    ( sdtlseqdt0(xm,sdtpldt0(xm,xn))
    & ? [X0] :
        ( sdtpldt0(xm,X0) = sdtpldt0(xm,xn)
        & aNaturalNumber0(X0) ) ) ).

fof(m__,conjecture,
    ( sdtlseqdt0(xp,xq)
    | ? [X0] :
        ( sdtpldt0(xp,X0) = xq
        & aNaturalNumber0(X0) ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ( sdtlseqdt0(xp,xq)
      | ? [X0] :
          ( sdtpldt0(xp,X0) = xq
          & aNaturalNumber0(X0) ) ),
    inference(negate_conjecture,[status(cth)],[m__]) ).

cnf(c0,plain,
    aNaturalNumber0(sz00),
    inference(clausification,[status(esa)],[mSortsC]) ).

cnf(c4,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X0))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X0) ),
    inference(clausification,[status(esa)],[mSortsB_02]) ).

cnf(c7,plain,
    ( sdtpldt0(X0,sz00) = X0
    | ~ aNaturalNumber0(X0) ),
    inference(clausification,[status(esa)],[m_AddZero]) ).

cnf(c19,plain,
    ( sdtasdt0(X1,X2) != sdtasdt0(X1,X0)
    | X2 = X0
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | X1 = sz00
    | ~ aNaturalNumber0(X0) ),
    inference(clausification,[status(esa)],[mMulCanc]) ).

cnf(c31,plain,
    ( ~ aNaturalNumber0(X0)
    | X0 = X1
    | ~ sdtlseqdt0(X1,X0)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X0,X1) ),
    inference(clausification,[status(esa)],[mLEAsym]) ).

cnf(c34,plain,
    ( sdtlseqdt0(X1,X0)
    | sdtlseqdt0(X0,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X0) ),
    inference(clausification,[status(esa)],[mLETotal]) ).

cnf(c42,plain,
    ( sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
    | ~ aNaturalNumber0(X2)
    | X1 = X0
    | X2 = sz00
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X0)
    | ~ sdtlseqdt0(X0,X1) ),
    inference(clausification,[status(esa)],[mMonMul]) ).

cnf(c52,plain,
    ( ~ aNaturalNumber0(X2)
    | X0 = sz00
    | sdtasdt0(X0,X2) != X1
    | ~ doDivides0(X0,X1)
    | ~ aNaturalNumber0(X1)
    | sdtsldt0(X1,X0) = X2
    | ~ aNaturalNumber0(X0) ),
    inference(clausification,[status(esa)],[mDefQuot]) ).

cnf(c55,plain,
    aNaturalNumber0(xl),
    inference(clausification,[status(esa)],[m__1324]) ).

cnf(c57,plain,
    aNaturalNumber0(xm),
    inference(clausification,[status(esa)],[m__1324]) ).

cnf(c58,plain,
    aNaturalNumber0(sK69),
    inference(clausification,[status(esa)],[m__1324_04]) ).

cnf(c59,plain,
    sdtasdt0(xl,sK69) = xm,
    inference(clausification,[status(esa)],[m__1324_04]) ).

cnf(c60,plain,
    aNaturalNumber0(sK70),
    inference(clausification,[status(esa)],[m__1324_04]) ).

cnf(c61,plain,
    sdtasdt0(xl,sK70) = sdtpldt0(xm,xn),
    inference(clausification,[status(esa)],[m__1324_04]) ).

cnf(c62,plain,
    doDivides0(xl,sdtpldt0(xm,xn)),
    inference(clausification,[status(esa)],[m__1324_04]) ).

cnf(c63,plain,
    doDivides0(xl,xm),
    inference(clausification,[status(esa)],[m__1324_04]) ).

cnf(c64,plain,
    xl != sz00,
    inference(clausification,[status(esa)],[m__1347]) ).

cnf(c65,plain,
    aNaturalNumber0(xp),
    inference(clausification,[status(esa)],[m__1360]) ).

cnf(c66,plain,
    sdtsldt0(xm,xl) = xp,
    inference(clausification,[status(esa)],[m__1360]) ).

cnf(c68,plain,
    aNaturalNumber0(xq),
    inference(clausification,[status(esa)],[m__1379]) ).

cnf(c69,plain,
    sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
    inference(clausification,[status(esa)],[m__1379]) ).

cnf(c73,plain,
    sdtlseqdt0(xm,sdtpldt0(xm,xn)),
    inference(clausification,[status(esa)],[m__1409]) ).

cnf(c74,plain,
    ( sdtpldt0(xp,X0) != xq
    | ~ aNaturalNumber0(X0) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c75,plain,
    ~ sdtlseqdt0(xp,xq),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | xm = sdtpldt0(xm,xn) ),
    inference(resolution,[status(thm)],[c73,c31]) ).

cnf(d1,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | xm = sdtpldt0(xm,xn) ),
    inference(resolution,[status(thm)],[c57,d0]) ).

cnf(d2,plain,
    ( ~ aNaturalNumber0(sK70)
    | ~ aNaturalNumber0(xl)
    | aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(superposition,[status(thm)],[c61,c4]) ).

cnf(d3,plain,
    ( ~ aNaturalNumber0(sK70)
    | aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(resolution,[status(thm)],[c55,d2]) ).

cnf(d4,plain,
    aNaturalNumber0(sdtpldt0(xm,xn)),
    inference(resolution,[status(thm)],[c60,d3]) ).

cnf(d5,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | xm = sdtpldt0(xm,xn) ),
    inference(resolution,[status(thm)],[d4,d1]) ).

cnf(d6,plain,
    ( ~ doDivides0(X0,sdtasdt0(X0,X1))
    | ~ aNaturalNumber0(sdtasdt0(X0,X1))
    | ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | sdtsldt0(sdtasdt0(X0,X1),X0) = X1
    | X0 = sz00 ),
    inference(equality_resolution,[status(thm)],[c52]) ).

cnf(d7,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xl,sK69))
    | ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(sK69)
    | sdtsldt0(sdtasdt0(xl,sK69),xl) = sK69
    | xl = sz00
    | ~ doDivides0(xl,xm) ),
    inference(superposition,[status(thm)],[c59,d6]) ).

cnf(d8,plain,
    ( ~ doDivides0(xl,xm)
    | ~ aNaturalNumber0(sK69)
    | ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(sdtasdt0(xl,sK69))
    | xl = sz00
    | sdtsldt0(xm,xl) = sK69 ),
    inference(demodulation,[status(thm)],[d7,c59]) ).

cnf(d9,plain,
    ( ~ doDivides0(xl,xm)
    | ~ aNaturalNumber0(sK69)
    | ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(sdtasdt0(xl,sK69))
    | xl = sz00
    | xp = sK69 ),
    inference(demodulation,[status(thm)],[d8,c66]) ).

cnf(d10,plain,
    ( ~ doDivides0(xl,xm)
    | ~ aNaturalNumber0(sK69)
    | ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(xm)
    | xl = sz00
    | xp = sK69 ),
    inference(demodulation,[status(thm)],[d9,c59]) ).

cnf(d11,plain,
    ( ~ doDivides0(xl,xm)
    | ~ aNaturalNumber0(sK69)
    | ~ aNaturalNumber0(xm)
    | xl = sz00
    | xp = sK69 ),
    inference(resolution,[status(thm)],[c55,d10]) ).

cnf(d12,plain,
    ( ~ doDivides0(xl,xm)
    | ~ aNaturalNumber0(sK69)
    | xp = sK69
    | xl = sz00 ),
    inference(resolution,[status(thm)],[c57,d11]) ).

cnf(d13,plain,
    ( ~ doDivides0(xl,xm)
    | xp = sK69
    | xl = sz00 ),
    inference(resolution,[status(thm)],[c58,d12]) ).

cnf(d14,plain,
    ( xp = sK69
    | xl = sz00 ),
    inference(resolution,[status(thm)],[c63,d13]) ).

cnf(d15,plain,
    xp = sK69,
    inference(resolution,[status(thm)],[c64,d14]) ).

cnf(d16,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xl,sK70))
    | ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(sK70)
    | sdtsldt0(sdtasdt0(xl,sK70),xl) = sK70
    | xl = sz00
    | ~ doDivides0(xl,sdtpldt0(xm,xn)) ),
    inference(superposition,[status(thm)],[c61,d6]) ).

cnf(d17,plain,
    ( ~ doDivides0(xl,sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(sK70)
    | ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(sdtasdt0(xl,sK70))
    | xl = sz00
    | sdtsldt0(sdtpldt0(xm,xn),xl) = sK70 ),
    inference(demodulation,[status(thm)],[d16,c61]) ).

cnf(d18,plain,
    ( ~ doDivides0(xl,sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(sK70)
    | ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(sdtasdt0(xl,sK70))
    | xl = sz00
    | xq = sK70 ),
    inference(demodulation,[status(thm)],[d17,c69]) ).

cnf(d19,plain,
    ( ~ doDivides0(xl,sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(sK70)
    | ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | xl = sz00
    | xq = sK70 ),
    inference(demodulation,[status(thm)],[d18,c61]) ).

cnf(d20,plain,
    ( ~ doDivides0(xl,sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(sK70)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | xl = sz00
    | xq = sK70 ),
    inference(resolution,[status(thm)],[c55,d19]) ).

cnf(d21,plain,
    ( ~ doDivides0(xl,sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | xq = sK70
    | xl = sz00 ),
    inference(resolution,[status(thm)],[c60,d20]) ).

cnf(d22,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | xq = sK70
    | xl = sz00 ),
    inference(resolution,[status(thm)],[c62,d21]) ).

cnf(d23,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | xq = sK70 ),
    inference(resolution,[status(thm)],[c64,d22]) ).

cnf(d24,plain,
    xq = sK70,
    inference(resolution,[status(thm)],[d4,d23]) ).

cnf(d25,plain,
    ( ~ sdtlseqdt0(X0,sK69)
    | ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(sK69)
    | ~ aNaturalNumber0(xl)
    | sK69 = X0
    | xl = sz00
    | sdtlseqdt0(sdtasdt0(xl,X0),xm) ),
    inference(superposition,[status(thm)],[c59,c42]) ).

cnf(d26,plain,
    ( sdtlseqdt0(sdtasdt0(xl,X0),xm)
    | ~ sdtlseqdt0(X0,sK69)
    | ~ aNaturalNumber0(sK69)
    | ~ aNaturalNumber0(X0)
    | sK69 = X0
    | xl = sz00 ),
    inference(resolution,[status(thm)],[c55,d25]) ).

cnf(d27,plain,
    ( sdtlseqdt0(sdtasdt0(xl,X0),xm)
    | ~ sdtlseqdt0(X0,sK69)
    | ~ aNaturalNumber0(X0)
    | sK69 = X0
    | xl = sz00 ),
    inference(resolution,[status(thm)],[c58,d26]) ).

cnf(d28,plain,
    ( sdtlseqdt0(sdtasdt0(xl,X0),xm)
    | ~ sdtlseqdt0(X0,sK69)
    | ~ aNaturalNumber0(X0)
    | sK69 = X0 ),
    inference(resolution,[status(thm)],[c64,d27]) ).

cnf(d29,plain,
    ( ~ sdtlseqdt0(sK70,sK69)
    | ~ aNaturalNumber0(sK70)
    | sK69 = sK70
    | sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
    inference(superposition,[status(thm)],[c61,d28]) ).

cnf(d30,plain,
    ( ~ sdtlseqdt0(sK70,sK69)
    | sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | ~ aNaturalNumber0(sK70)
    | xp = sK70 ),
    inference(demodulation,[status(thm)],[d29,d15]) ).

cnf(d31,plain,
    ( ~ sdtlseqdt0(sK70,sK69)
    | sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | ~ aNaturalNumber0(sK70)
    | xp = xq ),
    inference(demodulation,[status(thm)],[d30,d24]) ).

cnf(d32,plain,
    ( ~ sdtlseqdt0(sK70,sK69)
    | sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | ~ aNaturalNumber0(xq)
    | xp = xq ),
    inference(demodulation,[status(thm)],[d31,d24]) ).

cnf(d33,plain,
    ( ~ sdtlseqdt0(xq,sK69)
    | sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | ~ aNaturalNumber0(xq)
    | xp = xq ),
    inference(demodulation,[status(thm)],[d32,d24]) ).

cnf(d34,plain,
    ( ~ sdtlseqdt0(xq,xp)
    | sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | ~ aNaturalNumber0(xq)
    | xp = xq ),
    inference(demodulation,[status(thm)],[d33,d15]) ).

cnf(d35,plain,
    ( ~ sdtlseqdt0(xq,xp)
    | sdtlseqdt0(sdtpldt0(xm,xn),xm)
    | xp = xq ),
    inference(resolution,[status(thm)],[c68,d34]) ).

cnf(d36,plain,
    sdtpldt0(xp,sz00) = xp,
    inference(resolution,[status(thm)],[c65,c7]) ).

cnf(d37,plain,
    ( ~ aNaturalNumber0(sz00)
    | xp != xq ),
    inference(superposition,[status(thm)],[d36,c74]) ).

cnf(d38,plain,
    xp != xq,
    inference(resolution,[status(thm)],[c0,d37]) ).

cnf(d39,plain,
    ( ~ sdtlseqdt0(xq,xp)
    | sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
    inference(resolution,[status(thm)],[d38,d35]) ).

cnf(d40,plain,
    ( sdtlseqdt0(xq,xp)
    | ~ aNaturalNumber0(xq)
    | ~ aNaturalNumber0(xp) ),
    inference(resolution,[status(thm)],[c75,c34]) ).

cnf(d41,plain,
    ( sdtlseqdt0(xq,xp)
    | ~ aNaturalNumber0(xq) ),
    inference(resolution,[status(thm)],[c65,d40]) ).

cnf(d42,plain,
    sdtlseqdt0(xq,xp),
    inference(resolution,[status(thm)],[c68,d41]) ).

cnf(d43,plain,
    sdtlseqdt0(sdtpldt0(xm,xn),xm),
    inference(resolution,[status(thm)],[d42,d39]) ).

cnf(d44,plain,
    xm = sdtpldt0(xm,xn),
    inference(resolution,[status(thm)],[d43,d5]) ).

cnf(d45,plain,
    ( ~ aNaturalNumber0(xl)
    | ~ aNaturalNumber0(sK69)
    | ~ aNaturalNumber0(X0)
    | xl = sz00
    | sK69 = X0
    | xm != sdtasdt0(xl,X0) ),
    inference(superposition,[status(thm)],[c59,c19]) ).

cnf(d46,plain,
    ( ~ aNaturalNumber0(sK69)
    | ~ aNaturalNumber0(X0)
    | sK69 = X0
    | xm != sdtasdt0(xl,X0)
    | xl = sz00 ),
    inference(resolution,[status(thm)],[c55,d45]) ).

cnf(d47,plain,
    ( ~ aNaturalNumber0(X0)
    | sK69 = X0
    | xm != sdtasdt0(xl,X0)
    | xl = sz00 ),
    inference(resolution,[status(thm)],[c58,d46]) ).

cnf(d48,plain,
    ( ~ aNaturalNumber0(X0)
    | sK69 = X0
    | xm != sdtasdt0(xl,X0) ),
    inference(resolution,[status(thm)],[c64,d47]) ).

cnf(d49,plain,
    ( ~ aNaturalNumber0(sK70)
    | sK69 = sK70
    | xm != sdtpldt0(xm,xn) ),
    inference(superposition,[status(thm)],[c61,d48]) ).

cnf(d50,plain,
    ( ~ aNaturalNumber0(sK70)
    | xp = sK70
    | xm != sdtpldt0(xm,xn) ),
    inference(demodulation,[status(thm)],[d49,d15]) ).

cnf(d51,plain,
    ( ~ aNaturalNumber0(sK70)
    | xp = xq
    | xm != sdtpldt0(xm,xn) ),
    inference(demodulation,[status(thm)],[d50,d24]) ).

cnf(d52,plain,
    ( ~ aNaturalNumber0(xq)
    | xp = xq
    | xm != sdtpldt0(xm,xn) ),
    inference(demodulation,[status(thm)],[d51,d24]) ).

cnf(d53,plain,
    ( xp = xq
    | xm != sdtpldt0(xm,xn) ),
    inference(resolution,[status(thm)],[c68,d52]) ).

cnf(d54,plain,
    xm != sdtpldt0(xm,xn),
    inference(resolution,[status(thm)],[d38,d53]) ).

cnf(d55,plain,
    $false,
    inference(resolution,[status(thm)],[d54,d44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM473+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.38  % Computer : n013.cluster.edu
% 0.08/5.38  % Model    : x86_64 x86_64
% 0.08/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.38  % Memory   : 8046.5625MB
% 0.08/5.38  % OS       : Linux 6.8.0-71-generic
% 0.08/5.38  % CPULimit : 300
% 0.08/5.38  % WCLimit  : 300
% 0.08/5.38  % DateTime : Sat Sep 26 02:52:58 UTC 2026
% 0.08/5.38  % CPUTime  : 
% 0.08/5.38  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 78.07/16.80  % SZS status Theorem for theBenchmark.p
% 78.07/16.80  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------