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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : RNG053+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 : Thu Sep 24 02:05:38 PM UTC 2026

% Result   : Theorem 43.20s 7.14s
% Output   : CNFRefutation 43.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  217 (  83 unt;   0 def)
%            Number of atoms       :  585 ( 151 equ)
%            Maximal formula atoms :   25 (   2 avg)
%            Number of connectives :  621 ( 253   ~; 267   |;  70   &)
%                                         (   2 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  18 con; 0-2 aty)
%            Number of variables   :  183 (   3 sgn  78   !;   0   ?)

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

fof(m__1726,hypothesis,
    ( xq = sziznziztdt0(xt)
    & aVector0(xq) ),
    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(xt)
    & aVector0(xs) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).

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

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

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

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

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

fof(m__,conjecture,
    sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

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

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

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

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

fof(m__1911,hypothesis,
    ( xP = sdtasdt0(xE,xH)
    & aScalar0(xP) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).

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

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

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

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

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

fof(mLEMon,axiom,
    ! [X1,X2,X3,X4] :
      ( ( aScalar0(X4)
        & aScalar0(X3)
        & aScalar0(X2)
        & aScalar0(X1) )
     => ( ( sdtlseqdt0(X3,X4)
          & sdtlseqdt0(X1,X2) )
       => sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).

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

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

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

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

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

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

fof(m__1873,hypothesis,
    ( xH = sdtasdt0(xA,xB)
    & aScalar0(xH) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).

fof(m__1820,hypothesis,
    ( xE = sdtasasdt0(xp,xq)
    & aScalar0(xE) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).

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

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

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

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

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

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

fof(c_0_37,plain,
    ! [X1] :
      ( aVector0(X1)
     => ( aDimensionOf0(X1) != sz00
       => ! [X2] :
            ( X2 = sziznziztdt0(X1)
          <=> ( ! [X3] :
                  ( aNaturalNumber0(X3)
                 => sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3) )
              & szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
              & aVector0(X2) ) ) ) ),
    inference(fof_simplification,[status(thm)],[mDefInit]) ).

fof(c_0_38,plain,
    ! [X62,X63,X64,X65] :
      ( ( ~ aVector0(X62)
        | aDimensionOf0(X62) = sz00
        | X65 = sziznziztdt0(X62)
        | szszuzczcdt0(aDimensionOf0(X65)) != aDimensionOf0(X62)
        | ~ aVector0(X65)
        | sdtlbdtrb0(X65,esk2_2(X62,X65)) != sdtlbdtrb0(X62,esk2_2(X62,X65)) )
      & ( ~ aVector0(X62)
        | aDimensionOf0(X62) = sz00
        | X65 = sziznziztdt0(X62)
        | szszuzczcdt0(aDimensionOf0(X65)) != aDimensionOf0(X62)
        | ~ aVector0(X65)
        | aNaturalNumber0(esk2_2(X62,X65)) )
      & ( ~ aVector0(X62)
        | aDimensionOf0(X62) = sz00
        | X63 != sziznziztdt0(X62)
        | sdtlbdtrb0(X63,X64) = sdtlbdtrb0(X62,X64)
        | ~ aNaturalNumber0(X64) )
      & ( ~ aVector0(X62)
        | aDimensionOf0(X62) = sz00
        | X63 != sziznziztdt0(X62)
        | szszuzczcdt0(aDimensionOf0(X63)) = aDimensionOf0(X62) )
      & ( ~ aVector0(X62)
        | aDimensionOf0(X62) = sz00
        | X63 != sziznziztdt0(X62)
        | aVector0(X63) ) ),
    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_37])])])])])])]) ).

fof(c_0_39,hypothesis,
    aDimensionOf0(xs) != sz00,
    inference(fof_simplification,[status(thm)],[m__1692]) ).

cnf(c_0_40,plain,
    ( ~ aVector0(X2)
    | X1 != sziznziztdt0(X2)
    | aDimensionOf0(X2) = sz00
    | szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_41,hypothesis,
    aDimensionOf0(xs) != sz00,
    inference(fof_nnf,[status(thm)],[c_0_39]) ).

fof(c_0_42,plain,
    ! [X9,X10] :
      ( X9 = X10
      | szszuzczcdt0(X9) != szszuzczcdt0(X10)
      | ~ aNaturalNumber0(X10)
      | ~ aNaturalNumber0(X9) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEqu])])]) ).

cnf(c_0_43,plain,
    ( ~ aVector0(X1)
    | aDimensionOf0(X1) = sz00
    | szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1) ),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_44,hypothesis,
    xq = sziznziztdt0(xt),
    inference(split_conjunct,[status(thm)],[m__1726]) ).

cnf(c_0_45,hypothesis,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(split_conjunct,[status(thm)],[m__1678_01]) ).

cnf(c_0_46,hypothesis,
    aVector0(xt),
    inference(split_conjunct,[status(thm)],[m__1678]) ).

cnf(c_0_47,hypothesis,
    aDimensionOf0(xs) != sz00,
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_48,plain,
    ( szszuzczcdt0(X1) != szszuzczcdt0(X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_49,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_43,c_0_44]),c_0_45]),c_0_45]),c_0_46])]),c_0_47]) ).

cnf(c_0_50,hypothesis,
    xp = sziznziztdt0(xs),
    inference(split_conjunct,[status(thm)],[m__1709]) ).

cnf(c_0_51,hypothesis,
    aVector0(xs),
    inference(split_conjunct,[status(thm)],[m__1678]) ).

cnf(c_0_52,plain,
    ( ~ aVector0(X3)
    | X2 != sziznziztdt0(X3)
    | ~ aNaturalNumber0(X1)
    | aDimensionOf0(X3) = sz00
    | sdtlbdtrb0(X2,X1) = sdtlbdtrb0(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_53,hypothesis,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(aDimensionOf0(xq))
    | szszuzczcdt0(X1) != aDimensionOf0(xs)
    | aDimensionOf0(xq) = X1 ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,hypothesis,
    szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_50]),c_0_51])]),c_0_47]) ).

fof(c_0_55,plain,
    ! [X59] :
      ( aNaturalNumber0(aDimensionOf0(X59))
      | ~ aVector0(X59) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDimNat])])]) ).

fof(c_0_56,plain,
    ! [X60,X61] :
      ( aScalar0(sdtlbdtrb0(X60,X61))
      | ~ aNaturalNumber0(X61)
      | ~ aVector0(X60) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mElmSc])])]) ).

cnf(c_0_57,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aVector0(X1)
    | aDimensionOf0(X1) = sz00
    | sdtlbdtrb0(sziznziztdt0(X1),X2) = sdtlbdtrb0(X1,X2) ),
    inference(er,[status(thm)],[c_0_52]) ).

cnf(c_0_58,hypothesis,
    ( ~ aNaturalNumber0(aDimensionOf0(xp))
    | ~ aNaturalNumber0(aDimensionOf0(xq))
    | aDimensionOf0(xp) = aDimensionOf0(xq) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_59,plain,
    ( ~ aVector0(X1)
    | aNaturalNumber0(aDimensionOf0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_60,hypothesis,
    aVector0(xp),
    inference(split_conjunct,[status(thm)],[m__1709]) ).

fof(c_0_61,plain,
    ! [X51,X52] :
      ( sdtlseqdt0(X52,X51)
      | sdtlseqdt0(X51,X52)
      | ~ aScalar0(X52)
      | ~ aScalar0(X51) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])])]) ).

fof(c_0_62,plain,
    ! [X21,X22,X23] :
      ( ( ~ aScalar0(X23)
        | ~ aScalar0(X22)
        | ~ aScalar0(X21)
        | sdtasdt0(X21,X22) = sdtasdt0(X22,X21) )
      & ( ~ aScalar0(X23)
        | ~ aScalar0(X22)
        | ~ aScalar0(X21)
        | sdtasdt0(sdtasdt0(X21,X22),X23) = sdtasdt0(X21,sdtasdt0(X22,X23)) )
      & ( ~ aScalar0(X23)
        | ~ aScalar0(X22)
        | ~ aScalar0(X21)
        | sdtpldt0(X21,X22) = sdtpldt0(X22,X21) )
      & ( ~ aScalar0(X23)
        | ~ aScalar0(X22)
        | ~ aScalar0(X21)
        | sdtpldt0(sdtpldt0(X21,X22),X23) = sdtpldt0(X21,sdtpldt0(X22,X23)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])])]) ).

cnf(c_0_63,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aVector0(X1)
    | aScalar0(sdtlbdtrb0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_64,hypothesis,
    ( ~ aNaturalNumber0(X1)
    | sdtlbdtrb0(xt,X1) = sdtlbdtrb0(xq,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_44]),c_0_45]),c_0_46])]),c_0_47]) ).

cnf(c_0_65,hypothesis,
    ( ~ aNaturalNumber0(aDimensionOf0(xq))
    | aDimensionOf0(xp) = aDimensionOf0(xq) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).

cnf(c_0_66,hypothesis,
    aVector0(xq),
    inference(split_conjunct,[status(thm)],[m__1726]) ).

fof(c_0_67,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_68,plain,
    ( ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | sdtlseqdt0(X2,X1)
    | sdtlseqdt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_69,hypothesis,
    aScalar0(xS),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

fof(c_0_70,plain,
    ! [X75] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(X75,X75))
      | ~ aVector0(X75) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])])]) ).

fof(c_0_71,plain,
    ! [X55] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X55,X55))
      | ~ aScalar0(X55) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])])]) ).

cnf(c_0_72,plain,
    ( ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_73,hypothesis,
    ( ~ aNaturalNumber0(X1)
    | aScalar0(sdtlbdtrb0(xq,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_46])]) ).

cnf(c_0_74,hypothesis,
    aDimensionOf0(xp) = aDimensionOf0(xq),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_59]),c_0_66])]) ).

fof(c_0_75,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_76,plain,
    ! [X40,X41,X42] :
      ( sdtlseqdt0(X40,X42)
      | ~ sdtlseqdt0(X41,X42)
      | ~ sdtlseqdt0(X40,X41)
      | ~ aScalar0(X42)
      | ~ aScalar0(X41)
      | ~ aScalar0(X40) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])])]) ).

cnf(c_0_77,hypothesis,
    ( ~ aScalar0(X1)
    | sdtlseqdt0(xS,X1)
    | sdtlseqdt0(X1,xS) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_78,hypothesis,
    aScalar0(xP),
    inference(split_conjunct,[status(thm)],[m__1911]) ).

fof(c_0_79,plain,
    ! [X53,X54] :
      ( ( ~ aScalar0(X54)
        | ~ aScalar0(X53)
        | ~ sdtlseqdt0(sz0z00,X54)
        | ~ sdtlseqdt0(sz0z00,X53)
        | sdtlseqdt0(sz0z00,sdtasdt0(X53,X54)) )
      & ( ~ aScalar0(X54)
        | ~ aScalar0(X53)
        | ~ sdtlseqdt0(sz0z00,X54)
        | ~ sdtlseqdt0(sz0z00,X53)
        | sdtlseqdt0(sz0z00,sdtpldt0(X53,X54)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])])]) ).

cnf(c_0_80,plain,
    ( ~ aVector0(X1)
    | sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_81,hypothesis,
    xD = sdtasasdt0(xq,xq),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_82,plain,
    ( ~ aScalar0(X1)
    | sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_83,hypothesis,
    xF = sdtasdt0(xA,xA),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_84,hypothesis,
    aScalar0(xA),
    inference(split_conjunct,[status(thm)],[m__1746]) ).

fof(c_0_85,plain,
    ! [X31,X32] :
      ( ( ~ aScalar0(X32)
        | ~ aScalar0(X31)
        | sdtasdt0(smndt0(X31),X32) = smndt0(sdtasdt0(X31,X32)) )
      & ( ~ aScalar0(X32)
        | ~ aScalar0(X31)
        | sdtasdt0(X31,smndt0(X32)) = smndt0(sdtasdt0(X31,X32)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])])]) ).

cnf(c_0_86,hypothesis,
    ( ~ aNaturalNumber0(X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_87,hypothesis,
    aNaturalNumber0(aDimensionOf0(xq)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_74]),c_0_60])]) ).

fof(c_0_88,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(fof_nnf,[status(thm)],[c_0_75]) ).

fof(c_0_89,plain,
    ! [X43,X44,X45,X46] :
      ( sdtlseqdt0(sdtpldt0(X43,X45),sdtpldt0(X44,X46))
      | ~ sdtlseqdt0(X45,X46)
      | ~ sdtlseqdt0(X43,X44)
      | ~ aScalar0(X46)
      | ~ aScalar0(X45)
      | ~ aScalar0(X44)
      | ~ aScalar0(X43) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])])]) ).

cnf(c_0_90,plain,
    ( ~ sdtlseqdt0(X2,X3)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | sdtlseqdt0(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_91,hypothesis,
    ( sdtlseqdt0(xP,xS)
    | sdtlseqdt0(xS,xP) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_92,plain,
    ( ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1)
    | sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_93,hypothesis,
    xS = sdtasdt0(xF,xD),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_94,hypothesis,
    sdtlseqdt0(sz0z00,xD),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_66])]) ).

cnf(c_0_95,hypothesis,
    sdtlseqdt0(sz0z00,xF),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).

cnf(c_0_96,hypothesis,
    aScalar0(xD),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_97,hypothesis,
    aScalar0(xF),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

fof(c_0_98,plain,
    ! [X20] :
      ( ( ~ aScalar0(X20)
        | smndt0(sz0z00) = sz0z00 )
      & ( ~ aScalar0(X20)
        | smndt0(smndt0(X20)) = X20 )
      & ( ~ aScalar0(X20)
        | sdtpldt0(smndt0(X20),X20) = sz0z00 )
      & ( ~ aScalar0(X20)
        | sdtpldt0(X20,smndt0(X20)) = sz0z00 )
      & ( ~ aScalar0(X20)
        | sdtasdt0(sz0z00,X20) = sz0z00 )
      & ( ~ aScalar0(X20)
        | sdtasdt0(X20,sz0z00) = sz0z00 )
      & ( ~ aScalar0(X20)
        | sdtpldt0(sz0z00,X20) = X20 )
      & ( ~ aScalar0(X20)
        | sdtpldt0(X20,sz0z00) = X20 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])])]) ).

fof(c_0_99,plain,
    ! [X17,X18] :
      ( aScalar0(sdtasdt0(X17,X18))
      | ~ aScalar0(X18)
      | ~ aScalar0(X17) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])]) ).

fof(c_0_100,plain,
    ! [X19] :
      ( aScalar0(smndt0(X19))
      | ~ aScalar0(X19) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])]) ).

cnf(c_0_101,plain,
    ( ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_102,hypothesis,
    ( ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_103,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_104,plain,
    ( ~ sdtlseqdt0(X3,X4)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aScalar0(X4)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_105,hypothesis,
    aScalar0(xR),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_106,hypothesis,
    ( ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,xS)
    | sdtlseqdt0(X1,xP)
    | sdtlseqdt0(xP,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_78]),c_0_69])]) ).

cnf(c_0_107,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_92,c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_97])]) ).

cnf(c_0_108,plain,
    aScalar0(sz0z00),
    inference(split_conjunct,[status(thm)],[mSZeroSc]) ).

cnf(c_0_109,plain,
    ( ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_110,plain,
    ( ~ aScalar0(X1)
    | smndt0(sz0z00) = sz0z00 ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_111,hypothesis,
    aScalar0(xN),
    inference(split_conjunct,[status(thm)],[m__1949]) ).

cnf(c_0_112,plain,
    ( ~ aScalar0(X1)
    | smndt0(smndt0(X1)) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_113,plain,
    ( ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | aScalar0(sdtasdt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_114,hypothesis,
    xP = sdtasdt0(xE,xH),
    inference(split_conjunct,[status(thm)],[m__1911]) ).

cnf(c_0_115,hypothesis,
    aScalar0(xH),
    inference(split_conjunct,[status(thm)],[m__1873]) ).

cnf(c_0_116,hypothesis,
    aScalar0(xE),
    inference(split_conjunct,[status(thm)],[m__1820]) ).

cnf(c_0_117,plain,
    ( ~ aScalar0(X1)
    | aScalar0(smndt0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_118,hypothesis,
    ( ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X2,smndt0(X1)) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_119,hypothesis,
    xH = sdtasdt0(xA,xB),
    inference(split_conjunct,[status(thm)],[m__1873]) ).

cnf(c_0_120,hypothesis,
    aScalar0(xB),
    inference(split_conjunct,[status(thm)],[m__1766]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ sdtlseqdt0(xP,xR)
    | ~ sdtlseqdt0(xP,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_69]),c_0_78]),c_0_105])]) ).

cnf(c_0_122,hypothesis,
    ( sdtlseqdt0(xP,xS)
    | sdtlseqdt0(sz0z00,xP) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108])]) ).

cnf(c_0_123,hypothesis,
    ( ~ aScalar0(X1)
    | sdtlseqdt0(xP,X1)
    | sdtlseqdt0(X1,xP) ),
    inference(spm,[status(thm)],[c_0_68,c_0_78]) ).

cnf(c_0_124,hypothesis,
    ( ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X2),X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_102]) ).

cnf(c_0_125,plain,
    ( ~ aScalar0(X1)
    | sdtasdt0(sz0z00,X1) = sz0z00 ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_126,hypothesis,
    smndt0(sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_127,plain,
    ( ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_101]),c_0_113]) ).

cnf(c_0_128,hypothesis,
    sdtasdt0(xE,smndt0(xH)) = smndt0(xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_114]),c_0_115]),c_0_116])]) ).

cnf(c_0_129,hypothesis,
    ( ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | aScalar0(sdtasdt0(X1,smndt0(X2))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_113]) ).

cnf(c_0_130,hypothesis,
    sdtasdt0(xH,smndt0(xE)) = smndt0(xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_114]),c_0_116]),c_0_115])]) ).

cnf(c_0_131,hypothesis,
    sdtasdt0(xA,smndt0(xB)) = smndt0(xH),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_119]),c_0_120]),c_0_84])]) ).

cnf(c_0_132,hypothesis,
    sdtasdt0(xB,smndt0(xA)) = smndt0(xH),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_84]),c_0_120])]) ).

cnf(c_0_133,hypothesis,
    ( ~ sdtlseqdt0(xP,xR)
    | sdtlseqdt0(sz0z00,xP) ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_134,hypothesis,
    ( sdtlseqdt0(xR,xP)
    | sdtlseqdt0(xP,xR) ),
    inference(spm,[status(thm)],[c_0_123,c_0_105]) ).

cnf(c_0_135,hypothesis,
    xG = sdtasdt0(xB,xB),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_136,hypothesis,
    xC = sdtasasdt0(xp,xp),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

fof(c_0_137,plain,
    ! [X47,X48,X49,X50] :
      ( sdtlseqdt0(sdtasdt0(X47,X49),sdtasdt0(X48,X50))
      | ~ sdtlseqdt0(X49,X50)
      | ~ sdtlseqdt0(sz0z00,X49)
      | ~ sdtlseqdt0(X47,X48)
      | ~ aScalar0(X50)
      | ~ aScalar0(X49)
      | ~ aScalar0(X48)
      | ~ aScalar0(X47) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])])]) ).

cnf(c_0_138,plain,
    ( ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_139,hypothesis,
    ( ~ aScalar0(X1)
    | sdtasdt0(smndt0(X1),sz0z00) = sz0z00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_108])]) ).

cnf(c_0_140,hypothesis,
    smndt0(smndt0(xP)) = xP,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_114]),c_0_115]),c_0_116])]) ).

cnf(c_0_141,hypothesis,
    aScalar0(smndt0(xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_116]),c_0_115])]) ).

cnf(c_0_142,plain,
    ( ~ aScalar0(X1)
    | sdtpldt0(sz0z00,X1) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_143,plain,
    ( ~ aScalar0(X1)
    | sdtpldt0(smndt0(X1),X1) = sz0z00 ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_144,hypothesis,
    smndt0(smndt0(xH)) = xH,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_131]),c_0_119]),c_0_120]),c_0_84])]) ).

cnf(c_0_145,hypothesis,
    aScalar0(smndt0(xH)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_132]),c_0_84]),c_0_120])]) ).

cnf(c_0_146,hypothesis,
    ( sdtlseqdt0(sz0z00,xP)
    | sdtlseqdt0(xR,xP) ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_147,hypothesis,
    xR = sdtasdt0(xC,xG),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_148,hypothesis,
    sdtlseqdt0(sz0z00,xG),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_135]),c_0_120])]) ).

cnf(c_0_149,hypothesis,
    sdtlseqdt0(sz0z00,xC),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_136]),c_0_60])]) ).

cnf(c_0_150,hypothesis,
    aScalar0(xG),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_151,hypothesis,
    aScalar0(xC),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

cnf(c_0_152,plain,
    ( ~ sdtlseqdt0(X3,X4)
    | ~ sdtlseqdt0(sz0z00,X3)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aScalar0(X4)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_153,hypothesis,
    ( ~ aScalar0(X1)
    | sdtasdt0(xE,sdtasdt0(xH,X1)) = sdtasdt0(xP,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_114]),c_0_115]),c_0_116])]) ).

cnf(c_0_154,plain,
    ( ~ aScalar0(X1)
    | sdtasdt0(X1,sz0z00) = sz0z00 ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_155,hypothesis,
    sdtasdt0(xP,sz0z00) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141])]) ).

cnf(c_0_156,hypothesis,
    ( ~ aScalar0(X1)
    | sdtlseqdt0(xE,X1)
    | sdtlseqdt0(X1,xE) ),
    inference(spm,[status(thm)],[c_0_68,c_0_116]) ).

cnf(c_0_157,plain,
    ( ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ sdtlseqdt0(X2,X3)
    | ~ sdtlseqdt0(X1,sz0z00)
    | sdtlseqdt0(sdtpldt0(X1,X2),X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_142]),c_0_108])]) ).

cnf(c_0_158,hypothesis,
    sdtpldt0(xH,smndt0(xH)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]) ).

fof(c_0_159,plain,
    ! [X37] :
      ( sdtlseqdt0(X37,X37)
      | ~ aScalar0(X37) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])])]) ).

cnf(c_0_160,hypothesis,
    ( ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,xR)
    | sdtlseqdt0(X1,xP)
    | sdtlseqdt0(sz0z00,xP) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_146]),c_0_78]),c_0_105])]) ).

cnf(c_0_161,hypothesis,
    sdtlseqdt0(sz0z00,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_92,c_0_147]),c_0_148]),c_0_149]),c_0_150]),c_0_151])]) ).

cnf(c_0_162,hypothesis,
    ( ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(X1,xE)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X2,smndt0(xH))
    | sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xP)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_128]),c_0_116])]),c_0_145])]) ).

cnf(c_0_163,hypothesis,
    sdtasdt0(xE,sz0z00) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]),c_0_108]),c_0_115])]) ).

cnf(c_0_164,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_125]),c_0_108])]) ).

cnf(c_0_165,hypothesis,
    sdtlseqdt0(xE,xE),
    inference(spm,[status(thm)],[c_0_156,c_0_116]) ).

cnf(c_0_166,hypothesis,
    ( ~ aScalar0(X1)
    | ~ sdtlseqdt0(xH,sz0z00)
    | ~ sdtlseqdt0(smndt0(xH),X1)
    | sdtlseqdt0(sz0z00,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_145]),c_0_115])]) ).

cnf(c_0_167,plain,
    ( ~ aScalar0(X1)
    | sdtlseqdt0(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_168,plain,
    ( ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X3)
    | ~ sdtlseqdt0(X1,X3)
    | ~ sdtlseqdt0(sz0z00,X2)
    | sdtlseqdt0(X1,sdtpldt0(X2,X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_142]),c_0_108])]) ).

cnf(c_0_169,hypothesis,
    sdtpldt0(xP,smndt0(xP)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_140]),c_0_141])]) ).

cnf(c_0_170,hypothesis,
    sdtlseqdt0(sz0z00,xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_108])]) ).

cnf(c_0_171,hypothesis,
    ( ~ aScalar0(X1)
    | sdtlseqdt0(smndt0(xP),X1)
    | sdtlseqdt0(X1,smndt0(xP)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_141]) ).

cnf(c_0_172,plain,
    ( ~ aScalar0(X1)
    | sdtpldt0(X1,smndt0(X1)) = sz0z00 ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

fof(c_0_173,plain,
    ! [X38,X39] :
      ( X38 = X39
      | ~ sdtlseqdt0(X39,X38)
      | ~ sdtlseqdt0(X38,X39)
      | ~ aScalar0(X39)
      | ~ aScalar0(X38) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])])]) ).

cnf(c_0_174,hypothesis,
    ( ~ sdtlseqdt0(sz0z00,smndt0(xH))
    | sdtlseqdt0(sz0z00,smndt0(xP)) ),
    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_162,c_0_163]),c_0_164]),c_0_165]),c_0_108]),c_0_116])]) ).

cnf(c_0_175,hypothesis,
    ( ~ sdtlseqdt0(xH,sz0z00)
    | sdtlseqdt0(sz0z00,smndt0(xH)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_145])]) ).

cnf(c_0_176,hypothesis,
    ( ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,smndt0(xP))
    | sdtlseqdt0(X1,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]),c_0_141]),c_0_78])]) ).

cnf(c_0_177,hypothesis,
    sdtlseqdt0(smndt0(xP),smndt0(xP)),
    inference(spm,[status(thm)],[c_0_171,c_0_141]) ).

cnf(c_0_178,hypothesis,
    ( ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,sz0z00)
    | sdtlseqdt0(X1,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_107]),c_0_69]),c_0_108])]) ).

cnf(c_0_179,hypothesis,
    sdtpldt0(smndt0(xP),xP) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_140]),c_0_141])]) ).

cnf(c_0_180,plain,
    ( ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

cnf(c_0_181,hypothesis,
    ( ~ sdtlseqdt0(xH,sz0z00)
    | sdtlseqdt0(sz0z00,smndt0(xP)) ),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_182,hypothesis,
    sdtlseqdt0(smndt0(xP),sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_141])]) ).

cnf(c_0_183,hypothesis,
    ( ~ aScalar0(X1)
    | sdtasdt0(sz0z00,smndt0(X1)) = sz0z00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_154]),c_0_126]),c_0_108])]) ).

cnf(c_0_184,hypothesis,
    ( ~ aScalar0(X1)
    | sdtlseqdt0(xH,X1)
    | sdtlseqdt0(X1,xH) ),
    inference(spm,[status(thm)],[c_0_68,c_0_115]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ sdtlseqdt0(xP,sz0z00)
    | ~ sdtlseqdt0(xP,xR) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_178]),c_0_78])]) ).

cnf(c_0_186,hypothesis,
    ( ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,sz0z00)
    | sdtlseqdt0(X1,xR) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_161]),c_0_105]),c_0_108])]) ).

cnf(c_0_187,hypothesis,
    ( ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,xP)
    | ~ sdtlseqdt0(sz0z00,smndt0(xP))
    | sdtlseqdt0(X1,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_179]),c_0_78]),c_0_141])]) ).

cnf(c_0_188,hypothesis,
    ( ~ sdtlseqdt0(xH,sz0z00)
    | smndt0(xP) = sz0z00 ),
    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_182]),c_0_108]),c_0_141])]) ).

cnf(c_0_189,hypothesis,
    ( ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(xE,X1)
    | ~ sdtlseqdt0(xH,X2)
    | ~ sdtlseqdt0(sz0z00,xH)
    | sdtlseqdt0(xP,sdtasdt0(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_114]),c_0_115]),c_0_116])]) ).

cnf(c_0_190,hypothesis,
    sdtasdt0(sz0z00,xH) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_144]),c_0_145])]) ).

cnf(c_0_191,hypothesis,
    sdtlseqdt0(xH,xH),
    inference(spm,[status(thm)],[c_0_184,c_0_115]) ).

cnf(c_0_192,negated_conjecture,
    ~ sdtlseqdt0(xP,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_78])]) ).

cnf(c_0_193,hypothesis,
    ( ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,xP)
    | ~ sdtlseqdt0(xH,sz0z00)
    | sdtlseqdt0(X1,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_164])]) ).

cnf(c_0_194,hypothesis,
    ( sdtlseqdt0(sz0z00,xH)
    | sdtlseqdt0(xH,sz0z00) ),
    inference(spm,[status(thm)],[c_0_184,c_0_108]) ).

cnf(c_0_195,hypothesis,
    ( ~ sdtlseqdt0(xE,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xH) ),
    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_189,c_0_190]),c_0_191]),c_0_115]),c_0_108])]),c_0_192]) ).

cnf(c_0_196,hypothesis,
    ( sdtlseqdt0(sz0z00,xE)
    | sdtlseqdt0(xE,sz0z00) ),
    inference(spm,[status(thm)],[c_0_156,c_0_108]) ).

cnf(c_0_197,hypothesis,
    ( ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,xP)
    | sdtlseqdt0(X1,sz0z00)
    | sdtlseqdt0(sz0z00,xH) ),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_198,hypothesis,
    sdtlseqdt0(xP,xP),
    inference(spm,[status(thm)],[c_0_123,c_0_78]) ).

cnf(c_0_199,hypothesis,
    sdtasdt0(smndt0(xH),xE) = smndt0(xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_114]),c_0_116]),c_0_115])]) ).

cnf(c_0_200,hypothesis,
    ( ~ aScalar0(X1)
    | sdtlseqdt0(smndt0(xH),X1)
    | sdtlseqdt0(X1,smndt0(xH)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_145]) ).

cnf(c_0_201,hypothesis,
    ( ~ sdtlseqdt0(sz0z00,xH)
    | sdtlseqdt0(sz0z00,xE) ),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_202,hypothesis,
    sdtlseqdt0(sz0z00,xH),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_78])]),c_0_192]) ).

cnf(c_0_203,plain,
    ( ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_204,hypothesis,
    ( ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(X2,xE)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X1,smndt0(xH))
    | sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xP)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_199]),c_0_116]),c_0_145])]) ).

cnf(c_0_205,hypothesis,
    sdtasdt0(smndt0(xH),sz0z00) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_190]),c_0_126]),c_0_108]),c_0_115])]) ).

cnf(c_0_206,hypothesis,
    sdtlseqdt0(smndt0(xH),smndt0(xH)),
    inference(spm,[status(thm)],[c_0_200,c_0_145]) ).

cnf(c_0_207,hypothesis,
    sdtlseqdt0(sz0z00,xE),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_202])]) ).

cnf(c_0_208,plain,
    ( ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_143]),c_0_117]) ).

cnf(c_0_209,hypothesis,
    ( ~ sdtlseqdt0(sz0z00,smndt0(xP))
    | smndt0(xP) = sz0z00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_182]),c_0_141]),c_0_108])]) ).

cnf(c_0_210,hypothesis,
    sdtlseqdt0(sz0z00,smndt0(xP)),
    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_204,c_0_205]),c_0_206]),c_0_164]),c_0_207]),c_0_108]),c_0_145])]) ).

cnf(c_0_211,plain,
    ( ~ aScalar0(X1)
    | sdtpldt0(X1,sz0z00) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_212,hypothesis,
    sdtpldt0(xP,sz0z00) = sdtpldt0(sz0z00,xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_179]),c_0_140]),c_0_78]),c_0_141])]) ).

cnf(c_0_213,hypothesis,
    smndt0(xP) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_210])]) ).

cnf(c_0_214,hypothesis,
    sdtpldt0(sz0z00,xP) = xP,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_78])]) ).

cnf(c_0_215,hypothesis,
    xP = sz0z00,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_213]),c_0_214]) ).

cnf(c_0_216,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_215]),c_0_164])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : RNG053+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.47  % Computer : n005.cluster.edu
% 0.20/0.47  % Model    : x86_64 x86_64
% 0.20/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47  % Memory   : 8046.5625MB
% 0.20/0.47  % OS       : Linux 6.8.0-71-generic
% 0.20/0.47  % CPULimit : 300
% 0.20/0.47  % WCLimit  : 300
% 0.20/0.47  % DateTime : Mon Sep 21 04:15:48 UTC 2026
% 0.20/0.47  % CPUTime  : 
% 0.20/0.47  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.55  Running first-order theorem proving
% 0.25/0.55  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.20/7.14  % Version: 3.5.1
% 43.20/7.14  % Preprocessing class: FSLSSMSMSSSNFFN.
% 43.20/7.14  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.20/7.14  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 43.20/7.14  % Starting new_bool_3 with 300s (1) cores
% 43.20/7.14  % Starting new_bool_1 with 300s (1) cores
% 43.20/7.14  % Starting sh5l with 300s (1) cores
% 43.20/7.14  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2529293 completed with status 0
% 43.20/7.14  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 43.20/7.14  % Preprocessing class: FSLSSMSMSSSNFFN.
% 43.20/7.14  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.20/7.14  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 43.20/7.14  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 43.20/7.14  % No SInE strategy applied
% 43.20/7.14  % Search class: FGHSF-FFMM21-MFFFFFNN
% 43.20/7.14  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 43.20/7.14  % Starting SubtermCWHack with 136s (1) cores
% 43.20/7.14  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 43.20/7.14  % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 43.20/7.14  % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 43.20/7.14  % Starting new_bool_3 with 136s (1) cores
% 43.20/7.14  % SAT001_MinMin_p005000_rr_RG with pid 2529301 completed with status 0
% 43.20/7.14  % Result found by SAT001_MinMin_p005000_rr_RG
% 43.20/7.14  % Preprocessing class: FSLSSMSMSSSNFFN.
% 43.20/7.14  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.20/7.14  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 43.20/7.14  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 43.20/7.14  % No SInE strategy applied
% 43.20/7.14  % Search class: FGHSF-FFMM21-MFFFFFNN
% 43.20/7.14  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 43.20/7.14  % Starting SubtermCWHack with 136s (1) cores
% 43.20/7.14  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 43.20/7.14  % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 43.20/7.14  % Preprocessing time       : 0.003 s
% 43.20/7.14  % Presaturation interreduction done
% 43.20/7.14  
% 43.20/7.14  % Proof found!
% 43.20/7.14  % SZS status Theorem
% 43.20/7.14  % SZS output start CNFRefutation
% See solution above
% 43.20/7.14  % Parsed axioms                        : 57
% 43.20/7.14  % Removed by relevancy pruning/SinE    : 0
% 43.20/7.14  % Initial clauses                      : 91
% 43.20/7.14  % Removed in clause preprocessing      : 5
% 43.20/7.14  % Initial clauses in saturation        : 86
% 43.20/7.14  % Processed clauses                    : 14673
% 43.20/7.14  % ...of these trivial                  : 620
% 43.20/7.14  % ...subsumed                          : 9894
% 43.20/7.14  % ...remaining for further processing  : 4159
% 43.20/7.14  % Other redundant clauses eliminated   : 7
% 43.20/7.14  % Clauses deleted for lack of memory   : 0
% 43.20/7.14  % Backward-subsumed                    : 456
% 43.20/7.14  % Backward-rewritten                   : 1715
% 43.20/7.14  % Generated clauses                    : 225607
% 43.20/7.14  % ...of the previous two non-redundant : 202389
% 43.20/7.14  % ...aggressively subsumed             : 0
% 43.20/7.14  % Contextual simplify-reflections      : 220
% 43.20/7.14  % Paramodulations                      : 225572
% 43.20/7.14  % Factorizations                       : 9
% 43.20/7.14  % NegExts                              : 0
% 43.20/7.14  % Equation resolutions                 : 21
% 43.20/7.14  % Disequality decompositions           : 0
% 43.20/7.14  % Total rewrite steps                  : 376316
% 43.20/7.14  % ...of those cached                   : 375689
% 43.20/7.14  % Propositional unsat checks           : 0
% 43.20/7.14  %    Propositional check models        : 0
% 43.20/7.14  %    Propositional check unsatisfiable : 0
% 43.20/7.14  %    Propositional clauses             : 0
% 43.20/7.14  %    Propositional clauses after purity: 0
% 43.20/7.14  %    Propositional unsat core size     : 0
% 43.20/7.14  %    Propositional preprocessing time  : 0.000
% 43.20/7.14  %    Propositional encoding time       : 0.000
% 43.20/7.14  %    Propositional solver time         : 0.000
% 43.20/7.14  %    Success case prop preproc time    : 0.000
% 43.20/7.14  %    Success case prop encoding time   : 0.000
% 43.20/7.14  %    Success case prop solver time     : 0.000
% 43.20/7.14  % Current number of processed clauses  : 1894
% 43.20/7.14  %    Positive orientable unit clauses  : 508
% 43.20/7.14  %    Positive unorientable unit clauses: 0
% 43.20/7.14  %    Negative unit clauses             : 7
% 43.20/7.14  %    Non-unit-clauses                  : 1379
% 43.20/7.14  % Current number of unprocessed clauses: 185687
% 43.20/7.14  % ...number of literals in the above   : 851121
% 43.20/7.14  % Current number of archived formulas  : 0
% 43.20/7.14  % Current number of archived clauses   : 2262
% 43.20/7.14  % Clause-clause subsumption calls (NU) : 598171
% 43.20/7.14  % Rec. Clause-clause subsumption calls : 231695
% 43.20/7.14  % Non-unit clause-clause subsumptions  : 9765
% 43.20/7.14  % Unit Clause-clause subsumption calls : 8642
% 43.20/7.14  % Rewrite failures with RHS unbound    : 0
% 43.20/7.14  % BW rewrite match attempts            : 886
% 43.20/7.14  % BW rewrite match successes           : 89
% 43.20/7.14  % Condensation attempts                : 0
% 43.20/7.14  % Condensation successes               : 0
% 43.20/7.14  % Termbank termtop insertions          : 5628791
% 43.20/7.14  % Search garbage collected termcells   : 883
% 43.20/7.14  
% 43.20/7.14  % -------------------------------------------------
% 43.20/7.14  % User time                : 5.459 s
% 43.20/7.14  % System time              : 0.197 s
% 43.20/7.14  % Total time               : 5.656 s
% 43.20/7.14  % Maximum resident set size: 3648 pages
% 43.20/7.14  
% 43.20/7.14  % -------------------------------------------------
% 43.20/7.14  % User time                : 29.239 s
% 43.20/7.14  % System time              : 1.216 s
% 43.20/7.14  % Total time               : 30.455 s
% 43.20/7.14  % Maximum resident set size: 4608 pages
% 43.20/7.14  % E exiting
%------------------------------------------------------------------------------