TSTP Solution File: RNG063+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : RNG063+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:36:54 EDT 2024

% Result   : Theorem 28.68s 4.14s
% Output   : CNFRefutation 28.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  286 ( 127 unt;   0 def)
%            Number of atoms       :  727 ( 251 equ)
%            Maximal formula atoms :   25 (   2 avg)
%            Number of connectives :  761 ( 320   ~; 323   |;  81   &)
%                                         (   2 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  15 con; 0-2 aty)
%            Number of variables   :  253 (  17 sgn 104   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mDefInit,axiom,
    ! [X1] :
      ( aVector0(X1)
     => ( aDimensionOf0(X1) != sz00
       => ! [X2] :
            ( X2 = sziznziztdt0(X1)
          <=> ( aVector0(X2)
              & szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
              & ! [X3] :
                  ( aNaturalNumber0(X3)
                 => sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefInit) ).

fof(m__1692,hypothesis,
    aDimensionOf0(xs) != sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).

fof(mSuccEqu,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
       => X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEqu) ).

fof(m__1726,hypothesis,
    ( aVector0(xq)
    & xq = sziznziztdt0(xt) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).

fof(m__1678_01,hypothesis,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).

fof(m__1678,hypothesis,
    ( aVector0(xs)
    & aVector0(xt) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).

fof(mElmSc,axiom,
    ! [X1,X2] :
      ( ( aVector0(X1)
        & aNaturalNumber0(X2) )
     => aScalar0(sdtlbdtrb0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSc) ).

fof(m__1709,hypothesis,
    ( aVector0(xp)
    & xp = sziznziztdt0(xs) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).

fof(mArith,axiom,
    ! [X1,X2,X3] :
      ( ( aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3) )
     => ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
        & sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
        & sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
        & sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).

fof(mDimNat,axiom,
    ! [X1] :
      ( aVector0(X1)
     => aNaturalNumber0(aDimensionOf0(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).

fof(mNegSc,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => aScalar0(smndt0(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).

fof(mMNeg,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
        & sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).

fof(mMulSc,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => aScalar0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).

fof(m__1930,hypothesis,
    ( aScalar0(xS)
    & xS = sdtasdt0(xF,xD) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).

fof(m__1800,hypothesis,
    ( aScalar0(xD)
    & xD = sdtasasdt0(xq,xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).

fof(m__1837,hypothesis,
    ( aScalar0(xF)
    & xF = sdtasdt0(xA,xA) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).

fof(mMDNeg,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).

fof(m__2144,hypothesis,
    ( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)
    & sdtasdt0(smndt0(xS),xR) = smndt0(xN)
    & sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).

fof(m__1892,hypothesis,
    ( aScalar0(xR)
    & xR = sdtasdt0(xC,xG) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).

fof(mScZero,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => ( sdtpldt0(X1,sz0z00) = X1
        & sdtpldt0(sz0z00,X1) = X1
        & sdtasdt0(X1,sz0z00) = sz0z00
        & sdtasdt0(sz0z00,X1) = sz0z00
        & sdtpldt0(X1,smndt0(X1)) = sz0z00
        & sdtpldt0(smndt0(X1),X1) = sz0z00
        & smndt0(smndt0(X1)) = X1
        & smndt0(sz0z00) = sz0z00 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).

fof(m__1949,hypothesis,
    ( aScalar0(xN)
    & xN = sdtasdt0(xR,xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).

fof(mSZeroSc,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).

fof(mSqPos,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).

fof(mScSqPos,axiom,
    ! [X1] :
      ( aVector0(X1)
     => sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).

fof(mLETrn,axiom,
    ! [X1,X2,X3] :
      ( ( aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X3) )
       => sdtlseqdt0(X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).

fof(mPosMon,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( ( sdtlseqdt0(sz0z00,X1)
          & sdtlseqdt0(sz0z00,X2) )
       => ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
          & sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).

fof(mSumSc,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => aScalar0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).

fof(m__1746,hypothesis,
    ( aScalar0(xA)
    & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).

fof(m__1854,hypothesis,
    ( aScalar0(xG)
    & xG = sdtasdt0(xB,xB) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).

fof(m__1766,hypothesis,
    ( aScalar0(xB)
    & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).

fof(m__1783,hypothesis,
    ( aScalar0(xC)
    & xC = sdtasasdt0(xp,xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).

fof(mLEMonM,axiom,
    ! [X1,X2,X3,X4] :
      ( ( aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3)
        & aScalar0(X4) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(sz0z00,X3)
          & sdtlseqdt0(X3,X4) )
       => sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).

fof(mDistr,axiom,
    ! [X1,X2,X3] :
      ( ( aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3) )
     => ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
        & sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).

fof(mLERef,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => sdtlseqdt0(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).

fof(mSqrt,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( ( sdtlseqdt0(sz0z00,X1)
          & sdtlseqdt0(sz0z00,X2)
          & sdtasdt0(X1,X1) = sdtasdt0(X2,X2) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).

fof(mDistr2,axiom,
    ! [X1,X2,X3,X4] :
      ( ( aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3)
        & aScalar0(X4) )
     => sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr2) ).

fof(mLEASm,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X1) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).

fof(mLEMon,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).

fof(mLETot,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( sdtlseqdt0(X1,X2)
        | sdtlseqdt0(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).

fof(m__,conjecture,
    sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(m__2262,hypothesis,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2262) ).

fof(m__2221,hypothesis,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2221) ).

fof(c_0_42,plain,
    ! [X1] :
      ( aVector0(X1)
     => ( aDimensionOf0(X1) != sz00
       => ! [X2] :
            ( X2 = sziznziztdt0(X1)
          <=> ( aVector0(X2)
              & szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
              & ! [X3] :
                  ( aNaturalNumber0(X3)
                 => sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[mDefInit]) ).

fof(c_0_43,plain,
    ! [X62,X63,X64,X65] :
      ( ( aVector0(X63)
        | X63 != sziznziztdt0(X62)
        | aDimensionOf0(X62) = sz00
        | ~ aVector0(X62) )
      & ( szszuzczcdt0(aDimensionOf0(X63)) = aDimensionOf0(X62)
        | X63 != sziznziztdt0(X62)
        | aDimensionOf0(X62) = sz00
        | ~ aVector0(X62) )
      & ( ~ aNaturalNumber0(X64)
        | sdtlbdtrb0(X63,X64) = sdtlbdtrb0(X62,X64)
        | X63 != sziznziztdt0(X62)
        | aDimensionOf0(X62) = sz00
        | ~ aVector0(X62) )
      & ( aNaturalNumber0(esk2_2(X62,X65))
        | ~ aVector0(X65)
        | szszuzczcdt0(aDimensionOf0(X65)) != aDimensionOf0(X62)
        | X65 = sziznziztdt0(X62)
        | aDimensionOf0(X62) = sz00
        | ~ aVector0(X62) )
      & ( sdtlbdtrb0(X65,esk2_2(X62,X65)) != sdtlbdtrb0(X62,esk2_2(X62,X65))
        | ~ aVector0(X65)
        | szszuzczcdt0(aDimensionOf0(X65)) != aDimensionOf0(X62)
        | X65 = sziznziztdt0(X62)
        | aDimensionOf0(X62) = sz00
        | ~ aVector0(X62) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])])])])]) ).

fof(c_0_44,hypothesis,
    aDimensionOf0(xs) != sz00,
    inference(fof_simplification,[status(thm)],[m__1692]) ).

cnf(c_0_45,plain,
    ( szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X2)
    | aDimensionOf0(X2) = sz00
    | X1 != sziznziztdt0(X2)
    | ~ aVector0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_46,hypothesis,
    aDimensionOf0(xs) != sz00,
    inference(fof_nnf,[status(thm)],[c_0_44]) ).

cnf(c_0_47,plain,
    ( sdtlbdtrb0(X2,X1) = sdtlbdtrb0(X3,X1)
    | aDimensionOf0(X3) = sz00
    | ~ aNaturalNumber0(X1)
    | X2 != sziznziztdt0(X3)
    | ~ aVector0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_48,plain,
    ! [X9,X10] :
      ( ~ aNaturalNumber0(X9)
      | ~ aNaturalNumber0(X10)
      | szszuzczcdt0(X9) != szszuzczcdt0(X10)
      | X9 = X10 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEqu])])]) ).

cnf(c_0_49,plain,
    ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1)
    | aDimensionOf0(X1) = sz00
    | ~ aVector0(X1) ),
    inference(er,[status(thm)],[c_0_45]) ).

cnf(c_0_50,hypothesis,
    xq = sziznziztdt0(xt),
    inference(split_conjunct,[status(thm)],[m__1726]) ).

cnf(c_0_51,hypothesis,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(split_conjunct,[status(thm)],[m__1678_01]) ).

cnf(c_0_52,hypothesis,
    aVector0(xt),
    inference(split_conjunct,[status(thm)],[m__1678]) ).

cnf(c_0_53,hypothesis,
    aDimensionOf0(xs) != sz00,
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_54,plain,
    ! [X60,X61] :
      ( ~ aVector0(X60)
      | ~ aNaturalNumber0(X61)
      | aScalar0(sdtlbdtrb0(X60,X61)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mElmSc])])]) ).

cnf(c_0_55,plain,
    ( sdtlbdtrb0(sziznziztdt0(X1),X2) = sdtlbdtrb0(X1,X2)
    | aDimensionOf0(X1) = sz00
    | ~ aVector0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(er,[status(thm)],[c_0_47]) ).

cnf(c_0_56,plain,
    ( X1 = X2
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_57,hypothesis,
    szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xs),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_51]),c_0_52])]),c_0_53]) ).

cnf(c_0_58,hypothesis,
    xp = sziznziztdt0(xs),
    inference(split_conjunct,[status(thm)],[m__1709]) ).

cnf(c_0_59,hypothesis,
    aVector0(xs),
    inference(split_conjunct,[status(thm)],[m__1678]) ).

fof(c_0_60,plain,
    ! [X21,X22,X23] :
      ( ( sdtpldt0(sdtpldt0(X21,X22),X23) = sdtpldt0(X21,sdtpldt0(X22,X23))
        | ~ aScalar0(X21)
        | ~ aScalar0(X22)
        | ~ aScalar0(X23) )
      & ( sdtpldt0(X21,X22) = sdtpldt0(X22,X21)
        | ~ aScalar0(X21)
        | ~ aScalar0(X22)
        | ~ aScalar0(X23) )
      & ( sdtasdt0(sdtasdt0(X21,X22),X23) = sdtasdt0(X21,sdtasdt0(X22,X23))
        | ~ aScalar0(X21)
        | ~ aScalar0(X22)
        | ~ aScalar0(X23) )
      & ( sdtasdt0(X21,X22) = sdtasdt0(X22,X21)
        | ~ aScalar0(X21)
        | ~ aScalar0(X22)
        | ~ aScalar0(X23) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])])]) ).

cnf(c_0_61,plain,
    ( aScalar0(sdtlbdtrb0(X1,X2))
    | ~ aVector0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_62,hypothesis,
    ( sdtlbdtrb0(xt,X1) = sdtlbdtrb0(xq,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_50]),c_0_51]),c_0_52])]),c_0_53]) ).

cnf(c_0_63,hypothesis,
    ( aDimensionOf0(xq) = X1
    | szszuzczcdt0(X1) != aDimensionOf0(xs)
    | ~ aNaturalNumber0(aDimensionOf0(xq))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_64,hypothesis,
    szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_58]),c_0_59])]),c_0_53]) ).

fof(c_0_65,plain,
    ! [X59] :
      ( ~ aVector0(X59)
      | aNaturalNumber0(aDimensionOf0(X59)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDimNat])])]) ).

fof(c_0_66,plain,
    ! [X19] :
      ( ~ aScalar0(X19)
      | aScalar0(smndt0(X19)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])]) ).

fof(c_0_67,plain,
    ! [X31,X32] :
      ( ( sdtasdt0(X31,smndt0(X32)) = smndt0(sdtasdt0(X31,X32))
        | ~ aScalar0(X31)
        | ~ aScalar0(X32) )
      & ( sdtasdt0(smndt0(X31),X32) = smndt0(sdtasdt0(X31,X32))
        | ~ aScalar0(X31)
        | ~ aScalar0(X32) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])])]) ).

fof(c_0_68,plain,
    ! [X17,X18] :
      ( ~ aScalar0(X17)
      | ~ aScalar0(X18)
      | aScalar0(sdtasdt0(X17,X18)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])]) ).

cnf(c_0_69,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_70,hypothesis,
    ( aScalar0(sdtlbdtrb0(xq,X1))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_52])]) ).

cnf(c_0_71,hypothesis,
    ( aDimensionOf0(xp) = aDimensionOf0(xq)
    | ~ aNaturalNumber0(aDimensionOf0(xq))
    | ~ aNaturalNumber0(aDimensionOf0(xp)) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_72,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_73,hypothesis,
    aVector0(xp),
    inference(split_conjunct,[status(thm)],[m__1709]) ).

cnf(c_0_74,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_75,plain,
    ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_76,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_77,hypothesis,
    xS = sdtasdt0(xF,xD),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_78,hypothesis,
    aScalar0(xD),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_79,hypothesis,
    aScalar0(xF),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

fof(c_0_80,plain,
    ! [X33,X34] :
      ( ~ aScalar0(X33)
      | ~ aScalar0(X34)
      | sdtasdt0(smndt0(X33),smndt0(X34)) = sdtasdt0(X33,X34) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])])]) ).

cnf(c_0_81,hypothesis,
    sdtasdt0(smndt0(xS),xR) = smndt0(xN),
    inference(split_conjunct,[status(thm)],[m__2144]) ).

cnf(c_0_82,hypothesis,
    aScalar0(xR),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_83,hypothesis,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ aNaturalNumber0(X3) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_84,hypothesis,
    ( aDimensionOf0(xp) = aDimensionOf0(xq)
    | ~ aNaturalNumber0(aDimensionOf0(xq)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).

cnf(c_0_85,hypothesis,
    aVector0(xq),
    inference(split_conjunct,[status(thm)],[m__1726]) ).

cnf(c_0_86,plain,
    ( aScalar0(sdtasdt0(X1,smndt0(X2)))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).

cnf(c_0_87,hypothesis,
    sdtasdt0(xF,smndt0(xD)) = smndt0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_77]),c_0_78]),c_0_79])]) ).

fof(c_0_88,plain,
    ! [X20] :
      ( ( sdtpldt0(X20,sz0z00) = X20
        | ~ aScalar0(X20) )
      & ( sdtpldt0(sz0z00,X20) = X20
        | ~ aScalar0(X20) )
      & ( sdtasdt0(X20,sz0z00) = sz0z00
        | ~ aScalar0(X20) )
      & ( sdtasdt0(sz0z00,X20) = sz0z00
        | ~ aScalar0(X20) )
      & ( sdtpldt0(X20,smndt0(X20)) = sz0z00
        | ~ aScalar0(X20) )
      & ( sdtpldt0(smndt0(X20),X20) = sz0z00
        | ~ aScalar0(X20) )
      & ( smndt0(smndt0(X20)) = X20
        | ~ aScalar0(X20) )
      & ( smndt0(sz0z00) = sz0z00
        | ~ aScalar0(X20) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])])]) ).

cnf(c_0_89,plain,
    ( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_90,hypothesis,
    ( sdtasdt0(smndt0(xS),smndt0(xR)) = smndt0(smndt0(xN))
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_81]),c_0_82])]) ).

cnf(c_0_91,hypothesis,
    aScalar0(xS),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_92,hypothesis,
    sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
    inference(split_conjunct,[status(thm)],[m__2144]) ).

cnf(c_0_93,hypothesis,
    aScalar0(xN),
    inference(split_conjunct,[status(thm)],[m__1949]) ).

cnf(c_0_94,hypothesis,
    ( sdtpldt0(X1,xR) = sdtpldt0(xR,X1)
    | ~ aScalar0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(spm,[status(thm)],[c_0_83,c_0_82]) ).

cnf(c_0_95,plain,
    aScalar0(sz0z00),
    inference(split_conjunct,[status(thm)],[mSZeroSc]) ).

cnf(c_0_96,hypothesis,
    aDimensionOf0(xp) = aDimensionOf0(xq),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_72]),c_0_85])]) ).

cnf(c_0_97,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_98,hypothesis,
    sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
    inference(split_conjunct,[status(thm)],[m__2144]) ).

cnf(c_0_99,hypothesis,
    aScalar0(smndt0(xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_78]),c_0_79])]) ).

cnf(c_0_100,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_101,hypothesis,
    ( smndt0(smndt0(xN)) = sdtasdt0(xS,xR)
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_82]),c_0_91])]) ).

cnf(c_0_102,hypothesis,
    ( sdtasdt0(smndt0(xS),smndt0(smndt0(xS))) = smndt0(sdtasdt0(xS,xS))
    | ~ aScalar0(smndt0(xS)) ),
    inference(spm,[status(thm)],[c_0_75,c_0_92]) ).

cnf(c_0_103,hypothesis,
    ( sdtpldt0(X1,xN) = sdtpldt0(xN,X1)
    | ~ aScalar0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(spm,[status(thm)],[c_0_83,c_0_93]) ).

cnf(c_0_104,hypothesis,
    ( sdtpldt0(xR,sz0z00) = sdtpldt0(sz0z00,xR)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_105,hypothesis,
    aNaturalNumber0(aDimensionOf0(xq)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_96]),c_0_73])]) ).

cnf(c_0_106,plain,
    ( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_107,hypothesis,
    ( sdtasdt0(xR,sdtasdt0(smndt0(xS),X1)) = sdtasdt0(smndt0(xN),X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_82])]),c_0_99])]) ).

cnf(c_0_108,plain,
    ( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_75]),c_0_76]) ).

cnf(c_0_109,hypothesis,
    ( sdtasdt0(xS,xR) = xN
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_93])]) ).

cnf(c_0_110,hypothesis,
    ( smndt0(sdtasdt0(xS,xS)) = sdtasdt0(xS,smndt0(xS))
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_102]),c_0_91])]) ).

cnf(c_0_111,hypothesis,
    ( sdtpldt0(xN,sz0z00) = sdtpldt0(sz0z00,xN)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_95]) ).

cnf(c_0_112,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

fof(c_0_113,plain,
    ! [X55] :
      ( ~ aScalar0(X55)
      | sdtlseqdt0(sz0z00,sdtasdt0(X55,X55)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])])]) ).

fof(c_0_114,plain,
    ! [X75] :
      ( ~ aVector0(X75)
      | sdtlseqdt0(sz0z00,sdtasasdt0(X75,X75)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])])]) ).

fof(c_0_115,plain,
    ! [X40,X41,X42] :
      ( ~ aScalar0(X40)
      | ~ aScalar0(X41)
      | ~ aScalar0(X42)
      | ~ sdtlseqdt0(X40,X41)
      | ~ sdtlseqdt0(X41,X42)
      | sdtlseqdt0(X40,X42) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])])]) ).

fof(c_0_116,plain,
    ! [X53,X54] :
      ( ( sdtlseqdt0(sz0z00,sdtpldt0(X53,X54))
        | ~ sdtlseqdt0(sz0z00,X53)
        | ~ sdtlseqdt0(sz0z00,X54)
        | ~ aScalar0(X53)
        | ~ aScalar0(X54) )
      & ( sdtlseqdt0(sz0z00,sdtasdt0(X53,X54))
        | ~ sdtlseqdt0(sz0z00,X53)
        | ~ sdtlseqdt0(sz0z00,X54)
        | ~ aScalar0(X53)
        | ~ aScalar0(X54) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])])]) ).

fof(c_0_117,plain,
    ! [X15,X16] :
      ( ~ aScalar0(X15)
      | ~ aScalar0(X16)
      | aScalar0(sdtpldt0(X15,X16)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSumSc])])]) ).

cnf(c_0_118,plain,
    ( sdtpldt0(X1,sz0z00) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_119,hypothesis,
    sdtpldt0(xR,sz0z00) = sdtpldt0(sz0z00,xR),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_120,plain,
    ( sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_106]) ).

cnf(c_0_121,hypothesis,
    sdtasdt0(smndt0(xN),smndt0(xS)) = sdtasdt0(xR,sdtasdt0(xS,xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_92]),c_0_99])]) ).

cnf(c_0_122,hypothesis,
    smndt0(smndt0(xS)) = xS,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_87]),c_0_77]),c_0_78]),c_0_79])]) ).

cnf(c_0_123,hypothesis,
    sdtasdt0(xS,xR) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_74]),c_0_91])]) ).

cnf(c_0_124,hypothesis,
    ( sdtasdt0(smndt0(xS),xS) = sdtasdt0(xS,smndt0(xS))
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_110]),c_0_91])]) ).

cnf(c_0_125,hypothesis,
    sdtpldt0(xN,sz0z00) = sdtpldt0(sz0z00,xN),
    inference(spm,[status(thm)],[c_0_111,c_0_105]) ).

cnf(c_0_126,hypothesis,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_93]) ).

cnf(c_0_127,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_128,hypothesis,
    xF = sdtasdt0(xA,xA),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_129,hypothesis,
    aScalar0(xA),
    inference(split_conjunct,[status(thm)],[m__1746]) ).

cnf(c_0_130,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_131,hypothesis,
    xD = sdtasasdt0(xq,xq),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_132,plain,
    ( sdtlseqdt0(X1,X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_133,plain,
    ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_134,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_135,hypothesis,
    sdtpldt0(sz0z00,xR) = xR,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_82])]) ).

cnf(c_0_136,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_137,hypothesis,
    xG = sdtasdt0(xB,xB),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_138,hypothesis,
    aScalar0(xB),
    inference(split_conjunct,[status(thm)],[m__1766]) ).

cnf(c_0_139,hypothesis,
    xC = sdtasasdt0(xp,xp),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

cnf(c_0_140,hypothesis,
    sdtasdt0(xR,sdtasdt0(xS,xS)) = sdtasdt0(xN,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_99]),c_0_93])]) ).

cnf(c_0_141,hypothesis,
    sdtasdt0(xS,smndt0(xR)) = smndt0(xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_123]),c_0_82]),c_0_91])]) ).

cnf(c_0_142,hypothesis,
    sdtasdt0(smndt0(xS),xS) = sdtasdt0(xS,smndt0(xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_99])]) ).

cnf(c_0_143,hypothesis,
    sdtpldt0(sz0z00,xN) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_125]),c_0_93])]) ).

cnf(c_0_144,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_145,hypothesis,
    sdtasdt0(xD,xF) = xS,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_126]),c_0_79]),c_0_78])]) ).

cnf(c_0_146,hypothesis,
    sdtlseqdt0(sz0z00,xF),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).

cnf(c_0_147,hypothesis,
    sdtlseqdt0(sz0z00,xD),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_85])]) ).

fof(c_0_148,plain,
    ! [X47,X48,X49,X50] :
      ( ~ aScalar0(X47)
      | ~ aScalar0(X48)
      | ~ aScalar0(X49)
      | ~ aScalar0(X50)
      | ~ sdtlseqdt0(X47,X48)
      | ~ sdtlseqdt0(sz0z00,X49)
      | ~ sdtlseqdt0(X49,X50)
      | sdtlseqdt0(sdtasdt0(X47,X49),sdtasdt0(X48,X50)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])])]) ).

cnf(c_0_149,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X2,X3))
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ sdtlseqdt0(sz0z00,X3)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_95])]),c_0_134]) ).

cnf(c_0_150,hypothesis,
    sdtpldt0(xR,sz0z00) = xR,
    inference(rw,[status(thm)],[c_0_119,c_0_135]) ).

cnf(c_0_151,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_136]),c_0_95])]) ).

cnf(c_0_152,hypothesis,
    xR = sdtasdt0(xC,xG),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_153,hypothesis,
    aScalar0(xG),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_154,hypothesis,
    aScalar0(xC),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

cnf(c_0_155,hypothesis,
    sdtlseqdt0(sz0z00,xG),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_137]),c_0_138])]) ).

cnf(c_0_156,hypothesis,
    sdtlseqdt0(sz0z00,xC),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_139]),c_0_73])]) ).

cnf(c_0_157,hypothesis,
    sdtasdt0(smndt0(xN),smndt0(xS)) = sdtasdt0(xN,xS),
    inference(rw,[status(thm)],[c_0_121,c_0_140]) ).

cnf(c_0_158,hypothesis,
    aScalar0(smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_141]),c_0_82]),c_0_91])]) ).

cnf(c_0_159,hypothesis,
    aScalar0(sdtasdt0(xS,smndt0(xS))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_142]),c_0_91]),c_0_99])]) ).

fof(c_0_160,plain,
    ! [X24,X25,X26] :
      ( ( sdtasdt0(X24,sdtpldt0(X25,X26)) = sdtpldt0(sdtasdt0(X24,X25),sdtasdt0(X24,X26))
        | ~ aScalar0(X24)
        | ~ aScalar0(X25)
        | ~ aScalar0(X26) )
      & ( sdtasdt0(sdtpldt0(X24,X25),X26) = sdtpldt0(sdtasdt0(X24,X26),sdtasdt0(X25,X26))
        | ~ aScalar0(X24)
        | ~ aScalar0(X25)
        | ~ aScalar0(X26) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr])])])]) ).

cnf(c_0_161,hypothesis,
    ( sdtpldt0(smndt0(xS),xR) = sdtpldt0(xR,smndt0(xS))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_94,c_0_99]) ).

cnf(c_0_162,hypothesis,
    sdtpldt0(xN,sz0z00) = xN,
    inference(rw,[status(thm)],[c_0_125,c_0_143]) ).

cnf(c_0_163,hypothesis,
    xN = sdtasdt0(xR,xS),
    inference(split_conjunct,[status(thm)],[m__1949]) ).

cnf(c_0_164,hypothesis,
    sdtlseqdt0(sz0z00,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]),c_0_147]),c_0_79]),c_0_78])]) ).

cnf(c_0_165,plain,
    ( sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X4)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(sz0z00,X3)
    | ~ sdtlseqdt0(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_148]) ).

cnf(c_0_166,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_167,hypothesis,
    ( sdtlseqdt0(X1,xR)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_95]),c_0_82])]) ).

cnf(c_0_168,hypothesis,
    sdtlseqdt0(sz0z00,xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_152]),c_0_153]),c_0_154])]),c_0_155]),c_0_156])]) ).

cnf(c_0_169,hypothesis,
    sdtasdt0(smndt0(xS),smndt0(xN)) = sdtasdt0(xN,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_157]),c_0_99]),c_0_158])]) ).

cnf(c_0_170,hypothesis,
    smndt0(smndt0(xN)) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_141]),c_0_123]),c_0_82]),c_0_91])]) ).

cnf(c_0_171,hypothesis,
    ( sdtpldt0(xN,xR) = sdtpldt0(xR,xN)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_82]) ).

cnf(c_0_172,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_173,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_174,hypothesis,
    ( sdtpldt0(sdtasdt0(xS,smndt0(xS)),xN) = sdtpldt0(xN,sdtasdt0(xS,smndt0(xS)))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_159]) ).

cnf(c_0_175,hypothesis,
    ( smndt0(sdtasdt0(xS,smndt0(xS))) = sdtasdt0(xS,xS)
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_124]),c_0_92]),c_0_91])]) ).

cnf(c_0_176,plain,
    ( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_177,hypothesis,
    sdtpldt0(smndt0(xS),xR) = sdtpldt0(xR,smndt0(xS)),
    inference(spm,[status(thm)],[c_0_161,c_0_105]) ).

cnf(c_0_178,hypothesis,
    ( sdtlseqdt0(X1,xN)
    | ~ sdtlseqdt0(sz0z00,xN)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_162]),c_0_151]),c_0_95]),c_0_93])]) ).

cnf(c_0_179,hypothesis,
    ( sdtlseqdt0(sz0z00,xN)
    | ~ sdtlseqdt0(sz0z00,xR) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_163]),c_0_91]),c_0_82])]),c_0_164])]) ).

cnf(c_0_180,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X3,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_95])]),c_0_151])]) ).

cnf(c_0_181,hypothesis,
    ( sdtlseqdt0(X1,xR)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_168])]) ).

fof(c_0_182,plain,
    ! [X37] :
      ( ~ aScalar0(X37)
      | sdtlseqdt0(X37,X37) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])])]) ).

cnf(c_0_183,hypothesis,
    sdtasdt0(xN,xS) = sdtasdt0(xS,xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_169]),c_0_170]),c_0_158]),c_0_91])]) ).

cnf(c_0_184,hypothesis,
    sdtpldt0(xN,xR) = sdtpldt0(xR,xN),
    inference(spm,[status(thm)],[c_0_171,c_0_105]) ).

cnf(c_0_185,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_74]) ).

cnf(c_0_186,hypothesis,
    sdtpldt0(sdtasdt0(xS,smndt0(xS)),xN) = sdtpldt0(xN,sdtasdt0(xS,smndt0(xS))),
    inference(spm,[status(thm)],[c_0_174,c_0_105]) ).

cnf(c_0_187,hypothesis,
    smndt0(sdtasdt0(xS,smndt0(xS))) = sdtasdt0(xS,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_99])]) ).

cnf(c_0_188,hypothesis,
    ( sdtpldt0(sdtasdt0(X1,xS),xN) = sdtasdt0(sdtpldt0(X1,xR),xS)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_163]),c_0_91]),c_0_82])]) ).

cnf(c_0_189,hypothesis,
    ( sdtpldt0(X1,xS) = sdtpldt0(xS,X1)
    | ~ aScalar0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(spm,[status(thm)],[c_0_83,c_0_91]) ).

cnf(c_0_190,hypothesis,
    aScalar0(sdtpldt0(xR,smndt0(xS))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_177]),c_0_82]),c_0_99])]) ).

fof(c_0_191,plain,
    ! [X56,X57] :
      ( ~ aScalar0(X56)
      | ~ aScalar0(X57)
      | ~ sdtlseqdt0(sz0z00,X56)
      | ~ sdtlseqdt0(sz0z00,X57)
      | sdtasdt0(X56,X56) != sdtasdt0(X57,X57)
      | X56 = X57 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])])]) ).

cnf(c_0_192,hypothesis,
    ( sdtlseqdt0(X1,xN)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_193,hypothesis,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,xR))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_82]),c_0_151]),c_0_95])]) ).

cnf(c_0_194,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_182]) ).

cnf(c_0_195,hypothesis,
    sdtasdt0(smndt0(xS),smndt0(xN)) = sdtasdt0(xS,xN),
    inference(rw,[status(thm)],[c_0_169,c_0_183]) ).

cnf(c_0_196,hypothesis,
    aScalar0(sdtpldt0(xR,xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_184]),c_0_82]),c_0_93])]) ).

fof(c_0_197,plain,
    ! [X27,X28,X29,X30] :
      ( ~ aScalar0(X27)
      | ~ aScalar0(X28)
      | ~ aScalar0(X29)
      | ~ aScalar0(X30)
      | sdtasdt0(sdtpldt0(X27,X28),sdtpldt0(X29,X30)) = sdtpldt0(sdtpldt0(sdtasdt0(X27,X29),sdtasdt0(X27,X30)),sdtpldt0(sdtasdt0(X28,X29),sdtasdt0(X28,X30))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr2])])]) ).

cnf(c_0_198,hypothesis,
    sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(xN,sdtasdt0(xS,smndt0(xS)))) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]),c_0_143]),c_0_93]),c_0_159])]) ).

cnf(c_0_199,hypothesis,
    sdtpldt0(xN,sdtasdt0(xS,smndt0(xS))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_142]),c_0_186]),c_0_177]),c_0_99])]) ).

cnf(c_0_200,hypothesis,
    ( sdtpldt0(sdtpldt0(xR,smndt0(xS)),xS) = sdtpldt0(xS,sdtpldt0(xR,smndt0(xS)))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_201,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_202,plain,
    ( X1 = X2
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | sdtasdt0(X1,X1) != sdtasdt0(X2,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_191]) ).

cnf(c_0_203,hypothesis,
    ( sdtlseqdt0(X1,xN)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_168])]) ).

cnf(c_0_204,hypothesis,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,xR))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_205,hypothesis,
    sdtasdt0(smndt0(xN),smndt0(xN)) = sdtasdt0(xR,sdtasdt0(xS,xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_195]),c_0_158])]) ).

cnf(c_0_206,hypothesis,
    ( sdtpldt0(sdtpldt0(xR,xN),xS) = sdtpldt0(xS,sdtpldt0(xR,xN))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_189,c_0_196]) ).

cnf(c_0_207,plain,
    ( sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4)))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_197]) ).

cnf(c_0_208,hypothesis,
    sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(sdtpldt0(xR,smndt0(xS)),xS)) = xN,
    inference(rw,[status(thm)],[c_0_198,c_0_199]) ).

cnf(c_0_209,hypothesis,
    sdtpldt0(sdtpldt0(xR,smndt0(xS)),xS) = sdtpldt0(xS,sdtpldt0(xR,smndt0(xS))),
    inference(spm,[status(thm)],[c_0_200,c_0_105]) ).

cnf(c_0_210,hypothesis,
    sdtpldt0(smndt0(xS),xS) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_122]),c_0_99])]) ).

fof(c_0_211,plain,
    ! [X38,X39] :
      ( ~ aScalar0(X38)
      | ~ aScalar0(X39)
      | ~ sdtlseqdt0(X38,X39)
      | ~ sdtlseqdt0(X39,X38)
      | X38 = X39 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])])]) ).

fof(c_0_212,plain,
    ! [X43,X44,X45,X46] :
      ( ~ aScalar0(X43)
      | ~ aScalar0(X44)
      | ~ aScalar0(X45)
      | ~ aScalar0(X46)
      | ~ sdtlseqdt0(X43,X44)
      | ~ sdtlseqdt0(X45,X46)
      | sdtlseqdt0(sdtpldt0(X43,X45),sdtpldt0(X44,X46)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])])]) ).

cnf(c_0_213,hypothesis,
    ( sdtpldt0(xN,smndt0(xN)) = sz0z00
    | ~ aScalar0(smndt0(xN)) ),
    inference(spm,[status(thm)],[c_0_173,c_0_170]) ).

cnf(c_0_214,hypothesis,
    ( X1 = xN
    | sdtasdt0(X1,X1) != sdtasdt0(xN,xN)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_93]),c_0_151]),c_0_95])]) ).

cnf(c_0_215,hypothesis,
    sdtlseqdt0(sz0z00,smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_81]),c_0_99])]) ).

cnf(c_0_216,hypothesis,
    sdtasdt0(xR,sdtasdt0(xS,xN)) = sdtasdt0(xN,xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_205]),c_0_170]),c_0_158]),c_0_93])]) ).

fof(c_0_217,plain,
    ! [X51,X52] :
      ( ~ aScalar0(X51)
      | ~ aScalar0(X52)
      | sdtlseqdt0(X51,X52)
      | sdtlseqdt0(X52,X51) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])])]) ).

cnf(c_0_218,hypothesis,
    sdtpldt0(sdtpldt0(xR,xN),xS) = sdtpldt0(xS,sdtpldt0(xR,xN)),
    inference(spm,[status(thm)],[c_0_206,c_0_105]) ).

cnf(c_0_219,hypothesis,
    ( sdtpldt0(sdtpldt0(sdtasdt0(X1,xS),sdtasdt0(X1,X2)),sdtpldt0(xN,sdtasdt0(xR,X2))) = sdtasdt0(sdtpldt0(X1,xR),sdtpldt0(xS,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_163]),c_0_91]),c_0_82])]) ).

cnf(c_0_220,hypothesis,
    sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(xS,sdtpldt0(xR,smndt0(xS)))) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_126]),c_0_91]),c_0_190])]) ).

cnf(c_0_221,hypothesis,
    sdtpldt0(xS,sdtpldt0(xR,smndt0(xS))) = xR,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_209]),c_0_210]),c_0_119]),c_0_135]),c_0_91]),c_0_99]),c_0_82])]) ).

cnf(c_0_222,plain,
    ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_223,plain,
    ( X1 = X2
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_211]) ).

cnf(c_0_224,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X4)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_212]) ).

cnf(c_0_225,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_226,hypothesis,
    sdtpldt0(xN,smndt0(xN)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_158])]) ).

cnf(c_0_227,hypothesis,
    smndt0(xN) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_205]),c_0_216]),c_0_158])]) ).

cnf(c_0_228,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_217]) ).

cnf(c_0_229,hypothesis,
    aScalar0(sdtpldt0(xS,sdtpldt0(xR,xN))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_218]),c_0_91]),c_0_196])]) ).

cnf(c_0_230,hypothesis,
    ( sdtpldt0(sdtpldt0(xR,xN),xN) = sdtpldt0(xN,sdtpldt0(xR,xN))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_196]) ).

cnf(c_0_231,hypothesis,
    sdtpldt0(xN,sdtpldt0(xN,sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))))) = sdtasdt0(sdtpldt0(xS,xR),xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]),c_0_190]),c_0_91])]) ).

cnf(c_0_232,hypothesis,
    ( sdtpldt0(xN,sdtasdt0(xR,X1)) = sdtasdt0(xR,sdtpldt0(xS,X1))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_163]),c_0_91]),c_0_82])]) ).

cnf(c_0_233,plain,
    ( sdtpldt0(X1,X2) = sz0z00
    | ~ sdtlseqdt0(sdtpldt0(X1,X2),sz0z00)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_133]),c_0_95])]),c_0_134]) ).

cnf(c_0_234,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X2,X3))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_95])]) ).

cnf(c_0_235,hypothesis,
    sdtpldt0(xN,xN) = sz0z00,
    inference(rw,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_236,hypothesis,
    sdtlseqdt0(sz0z00,xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_168])]) ).

cnf(c_0_237,hypothesis,
    ( sdtlseqdt0(X1,xN)
    | sdtlseqdt0(xN,X1)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_228,c_0_93]) ).

cnf(c_0_238,hypothesis,
    ( sdtpldt0(sdtpldt0(xS,sdtpldt0(xR,xN)),xN) = sdtpldt0(xN,sdtpldt0(xS,sdtpldt0(xR,xN)))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_229]) ).

cnf(c_0_239,hypothesis,
    sdtpldt0(sdtpldt0(xR,xN),xN) = sdtpldt0(xN,sdtpldt0(xR,xN)),
    inference(spm,[status(thm)],[c_0_230,c_0_105]) ).

cnf(c_0_240,hypothesis,
    sdtpldt0(xN,sdtasdt0(xR,xR)) = sdtasdt0(sdtpldt0(xS,xR),xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_221]),c_0_190])]) ).

cnf(c_0_241,hypothesis,
    ( xN = sz0z00
    | ~ sdtlseqdt0(xN,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xN) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_162]),c_0_151]),c_0_95]),c_0_93])]) ).

cnf(c_0_242,hypothesis,
    ( sdtlseqdt0(X1,sz0z00)
    | ~ sdtlseqdt0(X1,xN)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]),c_0_93])]) ).

cnf(c_0_243,hypothesis,
    sdtlseqdt0(xN,xN),
    inference(spm,[status(thm)],[c_0_237,c_0_93]) ).

cnf(c_0_244,hypothesis,
    sdtpldt0(sdtpldt0(xS,sdtpldt0(xR,xN)),xN) = sdtpldt0(xN,sdtpldt0(xS,sdtpldt0(xR,xN))),
    inference(spm,[status(thm)],[c_0_238,c_0_105]) ).

cnf(c_0_245,hypothesis,
    sdtpldt0(xN,sdtpldt0(xR,xN)) = sdtpldt0(xR,sdtpldt0(xN,xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_239]),c_0_93]),c_0_82])]) ).

cnf(c_0_246,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X2))) = sz0z00
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_75]),c_0_76]) ).

cnf(c_0_247,hypothesis,
    sdtasdt0(sdtpldt0(xS,xR),xR) = sdtasdt0(xR,sdtpldt0(xS,xR)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_240]),c_0_82])]) ).

cnf(c_0_248,hypothesis,
    ( xN = sz0z00
    | ~ sdtlseqdt0(xN,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_236])]) ).

cnf(c_0_249,hypothesis,
    sdtlseqdt0(xN,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_93])]) ).

cnf(c_0_250,hypothesis,
    sdtpldt0(xN,sdtpldt0(xS,sdtpldt0(xR,xN))) = sdtpldt0(xS,sdtpldt0(xR,sdtpldt0(xN,xN))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_244]),c_0_239]),c_0_245]),c_0_93]),c_0_196]),c_0_91])]) ).

cnf(c_0_251,hypothesis,
    ( sdtpldt0(xR,xS) = sdtpldt0(xS,xR)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_189,c_0_82]) ).

cnf(c_0_252,hypothesis,
    sdtpldt0(xS,smndt0(xS)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_87]),c_0_77]),c_0_78]),c_0_79])]) ).

cnf(c_0_253,hypothesis,
    sdtpldt0(xN,sdtasdt0(xR,xR)) = sdtasdt0(xR,sdtpldt0(xS,xR)),
    inference(rw,[status(thm)],[c_0_240,c_0_247]) ).

cnf(c_0_254,hypothesis,
    xN = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_249])]) ).

cnf(c_0_255,hypothesis,
    sdtpldt0(sdtpldt0(xS,sdtpldt0(xR,xN)),xN) = sdtpldt0(xS,sdtpldt0(xR,sdtpldt0(xN,xN))),
    inference(rw,[status(thm)],[c_0_244,c_0_250]) ).

cnf(c_0_256,plain,
    ( sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X4) = sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_172]),c_0_134]) ).

cnf(c_0_257,hypothesis,
    sdtpldt0(xR,xS) = sdtpldt0(xS,xR),
    inference(spm,[status(thm)],[c_0_251,c_0_105]) ).

fof(c_0_258,negated_conjecture,
    sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).

cnf(c_0_259,hypothesis,
    sdtpldt0(smndt0(xS),sz0z00) = sdtpldt0(sz0z00,smndt0(xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_252]),c_0_99]),c_0_91])]) ).

cnf(c_0_260,plain,
    ( sdtpldt0(sz0z00,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz0z00,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_166]),c_0_95])]) ).

cnf(c_0_261,hypothesis,
    sdtpldt0(sz0z00,sdtasdt0(xR,xR)) = sdtasdt0(xR,sdtpldt0(xS,xR)),
    inference(rw,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_262,hypothesis,
    sdtpldt0(sdtpldt0(xS,xR),sdtpldt0(xN,xN)) = sdtpldt0(xS,sdtpldt0(xR,sdtpldt0(xN,xN))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_93]),c_0_82]),c_0_91])]) ).

cnf(c_0_263,hypothesis,
    aScalar0(sdtpldt0(xS,xR)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_257]),c_0_91]),c_0_82])]) ).

fof(c_0_264,negated_conjecture,
    sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
    inference(fof_nnf,[status(thm)],[c_0_258]) ).

cnf(c_0_265,hypothesis,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
    inference(split_conjunct,[status(thm)],[m__2262]) ).

cnf(c_0_266,hypothesis,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
    inference(split_conjunct,[status(thm)],[m__2221]) ).

cnf(c_0_267,plain,
    ( smndt0(sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_268,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sz0z00) = sdtasdt0(X1,sdtpldt0(X2,sz0z00))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_166]),c_0_95])]) ).

cnf(c_0_269,hypothesis,
    sdtpldt0(sz0z00,smndt0(xS)) = smndt0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_259]),c_0_99])]) ).

cnf(c_0_270,hypothesis,
    ( aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(smndt0(xS)) ),
    inference(spm,[status(thm)],[c_0_76,c_0_92]) ).

cnf(c_0_271,hypothesis,
    sdtasdt0(xR,sdtpldt0(xS,xR)) = sdtasdt0(xR,xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_135]),c_0_82])]) ).

cnf(c_0_272,hypothesis,
    sdtpldt0(sdtpldt0(xS,xR),sz0z00) = sdtpldt0(xS,xR),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_235]),c_0_235]),c_0_119]),c_0_135]) ).

cnf(c_0_273,hypothesis,
    aScalar0(sdtasdt0(xR,sdtpldt0(xS,xR))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_247]),c_0_82]),c_0_263])]) ).

cnf(c_0_274,negated_conjecture,
    sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
    inference(split_conjunct,[status(thm)],[c_0_264]) ).

cnf(c_0_275,hypothesis,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00),sz0z00),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_265,c_0_227]),c_0_227]),c_0_254]),c_0_254]) ).

cnf(c_0_276,hypothesis,
    ( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)),X1)) = sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),X1)
    | ~ aScalar0(sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_266]) ).

cnf(c_0_277,hypothesis,
    smndt0(sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_267,c_0_93]) ).

cnf(c_0_278,hypothesis,
    sdtpldt0(sdtasdt0(xS,xS),sz0z00) = sdtasdt0(xS,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_92]),c_0_259]),c_0_269]),c_0_92]),c_0_99])]) ).

cnf(c_0_279,hypothesis,
    aScalar0(sdtasdt0(xS,xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_74]),c_0_91])]) ).

cnf(c_0_280,hypothesis,
    sdtpldt0(sdtasdt0(xR,xR),sz0z00) = sdtasdt0(xR,xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_271]),c_0_272]),c_0_271]),c_0_263]),c_0_82])]) ).

cnf(c_0_281,hypothesis,
    aScalar0(sdtasdt0(xR,xR)),
    inference(rw,[status(thm)],[c_0_273,c_0_271]) ).

cnf(c_0_282,negated_conjecture,
    sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00),sz0z00),sz0z00),sz0z00) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_254]),c_0_254]),c_0_275]) ).

cnf(c_0_283,hypothesis,
    ( sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00),sz0z00),X1) = sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),X1))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_254]),c_0_277]),c_0_254]),c_0_277]),c_0_278]),c_0_275]),c_0_254]),c_0_277]),c_0_278]),c_0_279]),c_0_254]),c_0_277])]),c_0_280]),c_0_280]),c_0_281])]) ).

cnf(c_0_284,negated_conjecture,
    sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_278]),c_0_95])]) ).

cnf(c_0_285,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_172]),c_0_278]),c_0_95]),c_0_279]),c_0_281])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : RNG063+1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 12:21:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  Running first-order model finding
% 0.21/0.50  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.68/4.14  # Version: 3.1.0
% 28.68/4.14  # Preprocessing class: FSLSSMSMSSSNFFN.
% 28.68/4.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.68/4.14  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 28.68/4.14  # Starting new_bool_3 with 300s (1) cores
% 28.68/4.14  # Starting new_bool_1 with 300s (1) cores
% 28.68/4.14  # Starting sh5l with 300s (1) cores
% 28.68/4.14  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 24304 completed with status 0
% 28.68/4.14  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 28.68/4.14  # Preprocessing class: FSLSSMSMSSSNFFN.
% 28.68/4.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.68/4.14  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 28.68/4.14  # No SInE strategy applied
% 28.68/4.14  # Search class: FGHSF-FFMM21-MFFFFFNN
% 28.68/4.14  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 28.68/4.14  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 28.68/4.14  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 28.68/4.14  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 28.68/4.14  # Starting new_bool_3 with 136s (1) cores
% 28.68/4.14  # Starting new_bool_1 with 136s (1) cores
% 28.68/4.14  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 24312 completed with status 0
% 28.68/4.14  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 28.68/4.14  # Preprocessing class: FSLSSMSMSSSNFFN.
% 28.68/4.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.68/4.14  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 28.68/4.14  # No SInE strategy applied
% 28.68/4.14  # Search class: FGHSF-FFMM21-MFFFFFNN
% 28.68/4.14  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 28.68/4.14  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 28.68/4.14  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 28.68/4.14  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 28.68/4.14  # Preprocessing time       : 0.002 s
% 28.68/4.14  # Presaturation interreduction done
% 28.68/4.14  
% 28.68/4.14  # Proof found!
% 28.68/4.14  # SZS status Theorem
% 28.68/4.14  # SZS output start CNFRefutation
% See solution above
% 28.68/4.14  # Parsed axioms                        : 62
% 28.68/4.14  # Removed by relevancy pruning/SinE    : 0
% 28.68/4.14  # Initial clauses                      : 98
% 28.68/4.14  # Removed in clause preprocessing      : 5
% 28.68/4.14  # Initial clauses in saturation        : 93
% 28.68/4.14  # Processed clauses                    : 7088
% 28.68/4.14  # ...of these trivial                  : 1461
% 28.68/4.14  # ...subsumed                          : 1834
% 28.68/4.14  # ...remaining for further processing  : 3793
% 28.68/4.14  # Other redundant clauses eliminated   : 7
% 28.68/4.14  # Clauses deleted for lack of memory   : 0
% 28.68/4.14  # Backward-subsumed                    : 25
% 28.68/4.14  # Backward-rewritten                   : 1467
% 28.68/4.14  # Generated clauses                    : 214440
% 28.68/4.14  # ...of the previous two non-redundant : 197657
% 28.68/4.14  # ...aggressively subsumed             : 0
% 28.68/4.14  # Contextual simplify-reflections      : 104
% 28.68/4.14  # Paramodulations                      : 214424
% 28.68/4.14  # Factorizations                       : 0
% 28.68/4.14  # NegExts                              : 0
% 28.68/4.14  # Equation resolutions                 : 16
% 28.68/4.14  # Disequality decompositions           : 0
% 28.68/4.14  # Total rewrite steps                  : 438076
% 28.68/4.14  # ...of those cached                   : 436171
% 28.68/4.14  # Propositional unsat checks           : 0
% 28.68/4.14  #    Propositional check models        : 0
% 28.68/4.14  #    Propositional check unsatisfiable : 0
% 28.68/4.14  #    Propositional clauses             : 0
% 28.68/4.14  #    Propositional clauses after purity: 0
% 28.68/4.14  #    Propositional unsat core size     : 0
% 28.68/4.14  #    Propositional preprocessing time  : 0.000
% 28.68/4.14  #    Propositional encoding time       : 0.000
% 28.68/4.14  #    Propositional solver time         : 0.000
% 28.68/4.14  #    Success case prop preproc time    : 0.000
% 28.68/4.14  #    Success case prop encoding time   : 0.000
% 28.68/4.14  #    Success case prop solver time     : 0.000
% 28.68/4.14  # Current number of processed clauses  : 2205
% 28.68/4.14  #    Positive orientable unit clauses  : 1466
% 28.68/4.14  #    Positive unorientable unit clauses: 0
% 28.68/4.14  #    Negative unit clauses             : 3
% 28.68/4.14  #    Non-unit-clauses                  : 736
% 28.68/4.14  # Current number of unprocessed clauses: 188508
% 28.68/4.14  # ...number of literals in the above   : 775388
% 28.68/4.14  # Current number of archived formulas  : 0
% 28.68/4.14  # Current number of archived clauses   : 1585
% 28.68/4.14  # Clause-clause subsumption calls (NU) : 121479
% 28.68/4.14  # Rec. Clause-clause subsumption calls : 53197
% 28.68/4.14  # Non-unit clause-clause subsumptions  : 1952
% 28.68/4.14  # Unit Clause-clause subsumption calls : 31792
% 28.68/4.14  # Rewrite failures with RHS unbound    : 0
% 28.68/4.14  # BW rewrite match attempts            : 4402
% 28.68/4.14  # BW rewrite match successes           : 421
% 28.68/4.14  # Condensation attempts                : 0
% 28.68/4.14  # Condensation successes               : 0
% 28.68/4.14  # Termbank termtop insertions          : 7086688
% 28.68/4.14  # Search garbage collected termcells   : 885
% 28.68/4.14  
% 28.68/4.14  # -------------------------------------------------
% 28.68/4.14  # User time                : 3.406 s
% 28.68/4.14  # System time              : 0.146 s
% 28.68/4.14  # Total time               : 3.553 s
% 28.68/4.14  # Maximum resident set size: 1976 pages
% 28.68/4.14  
% 28.68/4.14  # -------------------------------------------------
% 28.68/4.14  # User time                : 17.263 s
% 28.68/4.14  # System time              : 0.443 s
% 28.68/4.14  # Total time               : 17.706 s
% 28.68/4.14  # Maximum resident set size: 1760 pages
% 28.68/4.14  % E---3.1 exiting
%------------------------------------------------------------------------------