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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : RNG081+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/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 02:05:46 PM UTC 2026

% Result   : Theorem 0.23s 0.56s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   30 (  14 unt;   0 def)
%            Number of atoms       :  263 ( 142 equ)
%            Maximal formula atoms :   75 (   8 avg)
%            Number of connectives :  266 (  33   ~;  59   |; 158   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   53 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  18 con; 0-2 aty)
%            Number of variables   :   63 (   0 sgn  16   !;  42   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ( aDimensionOf0(xs) != sz00
     => ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ? [X7] :
                                  ( ? [X8] :
                                      ( ? [X9] :
                                          ( ? [X10] :
                                              ( ? [X11] :
                                                  ( ? [X12] :
                                                      ( ? [X13] :
                                                          ( ? [X14] :
                                                              ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                              & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                                              & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13))
                                                              & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                                              & X14 = sdtasdt0(X11,X13)
                                                              & aScalar0(X14) )
                                                          & X13 = sdtasdt0(X8,X6)
                                                          & aScalar0(X13) )
                                                      & X12 = sdtasdt0(X7,X10)
                                                      & aScalar0(X12) )
                                                  & X11 = sdtasdt0(X5,X9)
                                                  & aScalar0(X11) )
                                              & X10 = sdtasdt0(X3,X4)
                                              & aScalar0(X10) )
                                          & X9 = sdtasdt0(X4,X4)
                                          & aScalar0(X9) )
                                      & X8 = sdtasdt0(X3,X3)
                                      & aScalar0(X8) )
                                  & X7 = sdtasasdt0(X1,X2)
                                  & aScalar0(X7) )
                              & X6 = sdtasasdt0(X2,X2)
                              & aScalar0(X6) )
                          & X5 = sdtasasdt0(X1,X1)
                          & aScalar0(X5) )
                      & X4 = sdtlbdtrb0(xt,aDimensionOf0(xt))
                      & aScalar0(X4) )
                  & X3 = sdtlbdtrb0(xs,aDimensionOf0(xs))
                  & aScalar0(X3) )
              & X2 = sziznziztdt0(xt)
              & ! [X3] :
                  ( aNaturalNumber0(X3)
                 => sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) )
              & szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(xt)
              & aVector0(X2) )
          & X1 = sziznziztdt0(xs)
          & ! [X2] :
              ( aNaturalNumber0(X2)
             => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xs,X2) )
          & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xs)
          & aVector0(X1) ) )
   => sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(mDefSPZ,axiom,
    ! [X1,X2] :
      ( ( aVector0(X2)
        & aVector0(X1) )
     => ( ( aDimensionOf0(X2) = sz00
          & aDimensionOf0(X1) = aDimensionOf0(X2) )
       => sdtasasdt0(X1,X2) = sz0z00 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).

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

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

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/sandbox/benchmark/theBenchmark.p',mScZero) ).

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

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

fof(c_0_7,negated_conjecture,
    ~ ( ( aDimensionOf0(xs) != sz00
       => ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ? [X7] :
                                    ( ? [X8] :
                                        ( ? [X9] :
                                            ( ? [X10] :
                                                ( ? [X11] :
                                                    ( ? [X12] :
                                                        ( ? [X13] :
                                                            ( ? [X14] :
                                                                ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                                & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                                                & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13))
                                                                & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                                                & X14 = sdtasdt0(X11,X13)
                                                                & aScalar0(X14) )
                                                            & X13 = sdtasdt0(X8,X6)
                                                            & aScalar0(X13) )
                                                        & X12 = sdtasdt0(X7,X10)
                                                        & aScalar0(X12) )
                                                    & X11 = sdtasdt0(X5,X9)
                                                    & aScalar0(X11) )
                                                & X10 = sdtasdt0(X3,X4)
                                                & aScalar0(X10) )
                                            & X9 = sdtasdt0(X4,X4)
                                            & aScalar0(X9) )
                                        & X8 = sdtasdt0(X3,X3)
                                        & aScalar0(X8) )
                                    & X7 = sdtasasdt0(X1,X2)
                                    & aScalar0(X7) )
                                & X6 = sdtasasdt0(X2,X2)
                                & aScalar0(X6) )
                            & X5 = sdtasasdt0(X1,X1)
                            & aScalar0(X5) )
                        & X4 = sdtlbdtrb0(xt,aDimensionOf0(xt))
                        & aScalar0(X4) )
                    & X3 = sdtlbdtrb0(xs,aDimensionOf0(xs))
                    & aScalar0(X3) )
                & X2 = sziznziztdt0(xt)
                & ! [X3] :
                    ( aNaturalNumber0(X3)
                   => sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) )
                & szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(xt)
                & aVector0(X2) )
            & X1 = sziznziztdt0(xs)
            & ! [X2] :
                ( aNaturalNumber0(X2)
               => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xs,X2) )
            & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xs)
            & aVector0(X1) ) )
     => sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_8,negated_conjecture,
    ~ ( ( aDimensionOf0(xs) != sz00
       => ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ? [X7] :
                                    ( ? [X8] :
                                        ( ? [X9] :
                                            ( ? [X10] :
                                                ( ? [X11] :
                                                    ( ? [X12] :
                                                        ( ? [X13] :
                                                            ( ? [X14] :
                                                                ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
                                                                & sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
                                                                & sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13))
                                                                & sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
                                                                & X14 = sdtasdt0(X11,X13)
                                                                & aScalar0(X14) )
                                                            & X13 = sdtasdt0(X8,X6)
                                                            & aScalar0(X13) )
                                                        & X12 = sdtasdt0(X7,X10)
                                                        & aScalar0(X12) )
                                                    & X11 = sdtasdt0(X5,X9)
                                                    & aScalar0(X11) )
                                                & X10 = sdtasdt0(X3,X4)
                                                & aScalar0(X10) )
                                            & X9 = sdtasdt0(X4,X4)
                                            & aScalar0(X9) )
                                        & X8 = sdtasdt0(X3,X3)
                                        & aScalar0(X8) )
                                    & X7 = sdtasasdt0(X1,X2)
                                    & aScalar0(X7) )
                                & X6 = sdtasasdt0(X2,X2)
                                & aScalar0(X6) )
                            & X5 = sdtasasdt0(X1,X1)
                            & aScalar0(X5) )
                        & X4 = sdtlbdtrb0(xt,aDimensionOf0(xt))
                        & aScalar0(X4) )
                    & X3 = sdtlbdtrb0(xs,aDimensionOf0(xs))
                    & aScalar0(X3) )
                & X2 = sziznziztdt0(xt)
                & ! [X3] :
                    ( aNaturalNumber0(X3)
                   => sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) )
                & szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(xt)
                & aVector0(X2) )
            & X1 = sziznziztdt0(xs)
            & ! [X2] :
                ( aNaturalNumber0(X2)
               => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xs,X2) )
            & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xs)
            & aVector0(X1) ) )
     => sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_9,negated_conjecture,
    ! [X89,X91] :
      ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
      & ( aDimensionOf0(xs) = sz00
        | sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) )
      & ( aDimensionOf0(xs) = sz00
        | sdtlseqdt0(sdtasdt0(sdtpldt0(esk9_0,esk12_0),sdtpldt0(esk9_0,esk12_0)),sdtasdt0(sdtpldt0(esk7_0,esk10_0),sdtpldt0(esk8_0,esk11_0))) )
      & ( aDimensionOf0(xs) = sz00
        | sdtlseqdt0(sdtpldt0(esk14_0,esk14_0),sdtpldt0(esk13_0,esk15_0)) )
      & ( aDimensionOf0(xs) = sz00
        | sdtlseqdt0(sdtasdt0(esk9_0,esk9_0),sdtasdt0(esk7_0,esk8_0)) )
      & ( aDimensionOf0(xs) = sz00
        | esk16_0 = sdtasdt0(esk13_0,esk15_0) )
      & ( aDimensionOf0(xs) = sz00
        | aScalar0(esk16_0) )
      & ( aDimensionOf0(xs) = sz00
        | esk15_0 = sdtasdt0(esk10_0,esk8_0) )
      & ( aDimensionOf0(xs) = sz00
        | aScalar0(esk15_0) )
      & ( aDimensionOf0(xs) = sz00
        | esk14_0 = sdtasdt0(esk9_0,esk12_0) )
      & ( aDimensionOf0(xs) = sz00
        | aScalar0(esk14_0) )
      & ( aDimensionOf0(xs) = sz00
        | esk13_0 = sdtasdt0(esk7_0,esk11_0) )
      & ( aDimensionOf0(xs) = sz00
        | aScalar0(esk13_0) )
      & ( aDimensionOf0(xs) = sz00
        | esk12_0 = sdtasdt0(esk5_0,esk6_0) )
      & ( aDimensionOf0(xs) = sz00
        | aScalar0(esk12_0) )
      & ( aDimensionOf0(xs) = sz00
        | esk11_0 = sdtasdt0(esk6_0,esk6_0) )
      & ( aDimensionOf0(xs) = sz00
        | aScalar0(esk11_0) )
      & ( aDimensionOf0(xs) = sz00
        | esk10_0 = sdtasdt0(esk5_0,esk5_0) )
      & ( aDimensionOf0(xs) = sz00
        | aScalar0(esk10_0) )
      & ( aDimensionOf0(xs) = sz00
        | esk9_0 = sdtasasdt0(esk3_0,esk4_0) )
      & ( aDimensionOf0(xs) = sz00
        | aScalar0(esk9_0) )
      & ( aDimensionOf0(xs) = sz00
        | esk8_0 = sdtasasdt0(esk4_0,esk4_0) )
      & ( aDimensionOf0(xs) = sz00
        | aScalar0(esk8_0) )
      & ( aDimensionOf0(xs) = sz00
        | esk7_0 = sdtasasdt0(esk3_0,esk3_0) )
      & ( aDimensionOf0(xs) = sz00
        | aScalar0(esk7_0) )
      & ( aDimensionOf0(xs) = sz00
        | esk6_0 = sdtlbdtrb0(xt,aDimensionOf0(xt)) )
      & ( aDimensionOf0(xs) = sz00
        | aScalar0(esk6_0) )
      & ( aDimensionOf0(xs) = sz00
        | esk5_0 = sdtlbdtrb0(xs,aDimensionOf0(xs)) )
      & ( aDimensionOf0(xs) = sz00
        | aScalar0(esk5_0) )
      & ( aDimensionOf0(xs) = sz00
        | esk4_0 = sziznziztdt0(xt) )
      & ( aDimensionOf0(xs) = sz00
        | sdtlbdtrb0(esk4_0,X91) = sdtlbdtrb0(xt,X91)
        | ~ aNaturalNumber0(X91) )
      & ( aDimensionOf0(xs) = sz00
        | szszuzczcdt0(aDimensionOf0(esk4_0)) = aDimensionOf0(xt) )
      & ( aDimensionOf0(xs) = sz00
        | aVector0(esk4_0) )
      & ( aDimensionOf0(xs) = sz00
        | esk3_0 = sziznziztdt0(xs) )
      & ( aDimensionOf0(xs) = sz00
        | sdtlbdtrb0(esk3_0,X89) = sdtlbdtrb0(xs,X89)
        | ~ aNaturalNumber0(X89) )
      & ( aDimensionOf0(xs) = sz00
        | szszuzczcdt0(aDimensionOf0(esk3_0)) = aDimensionOf0(xs) )
      & ( aDimensionOf0(xs) = sz00
        | aVector0(esk3_0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])]) ).

fof(c_0_10,plain,
    ! [X81,X82] :
      ( sdtasasdt0(X81,X82) = sz0z00
      | aDimensionOf0(X82) != sz00
      | aDimensionOf0(X81) != aDimensionOf0(X82)
      | ~ aVector0(X82)
      | ~ aVector0(X81) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSPZ])])]) ).

cnf(c_0_11,negated_conjecture,
    ( aDimensionOf0(xs) = sz00
    | sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    ( aDimensionOf0(X2) != sz00
    | aDimensionOf0(X1) != aDimensionOf0(X2)
    | ~ aVector0(X2)
    | ~ aVector0(X1)
    | sdtasasdt0(X1,X2) = sz0z00 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    aDimensionOf0(xs) = sz00,
    inference(sr,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,hypothesis,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(split_conjunct,[status(thm)],[m__1678_01]) ).

cnf(c_0_16,hypothesis,
    aVector0(xt),
    inference(split_conjunct,[status(thm)],[m__1678]) ).

cnf(c_0_17,hypothesis,
    aVector0(xs),
    inference(split_conjunct,[status(thm)],[m__1678]) ).

fof(c_0_18,plain,
    ! [X30] :
      ( ( ~ aScalar0(X30)
        | smndt0(sz0z00) = sz0z00 )
      & ( ~ aScalar0(X30)
        | smndt0(smndt0(X30)) = X30 )
      & ( ~ aScalar0(X30)
        | sdtpldt0(smndt0(X30),X30) = sz0z00 )
      & ( ~ aScalar0(X30)
        | sdtpldt0(X30,smndt0(X30)) = sz0z00 )
      & ( ~ aScalar0(X30)
        | sdtasdt0(sz0z00,X30) = sz0z00 )
      & ( ~ aScalar0(X30)
        | sdtasdt0(X30,sz0z00) = sz0z00 )
      & ( ~ aScalar0(X30)
        | sdtpldt0(sz0z00,X30) = X30 )
      & ( ~ aScalar0(X30)
        | sdtpldt0(X30,sz0z00) = X30 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])])]) ).

cnf(c_0_19,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    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(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_14]),c_0_15]),c_0_14]),c_0_16]),c_0_17])]) ).

cnf(c_0_20,plain,
    ( ~ aScalar0(X1)
    | sdtasdt0(X1,sz0z00) = sz0z00 ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_21,plain,
    aScalar0(sz0z00),
    inference(split_conjunct,[status(thm)],[mSZeroSc]) ).

fof(c_0_22,plain,
    ! [X65] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X65,X65))
      | ~ aScalar0(X65) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])])]) ).

cnf(c_0_23,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_24,plain,
    ( ~ aScalar0(X1)
    | sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_25,plain,
    ( ~ aScalar0(X1)
    | sdtasdt0(sz0z00,X1) = sz0z00 ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(xs,xs),sz0z00)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_13]),c_0_15]),c_0_14]),c_0_16])]) ).

cnf(c_0_27,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21])]) ).

cnf(c_0_28,negated_conjecture,
    ~ aScalar0(sdtasasdt0(xs,xs)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_27])]) ).

cnf(c_0_29,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_13]),c_0_21]),c_0_14]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : RNG081+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.45  % Computer : n005.cluster.edu
% 0.19/0.45  % Model    : x86_64 x86_64
% 0.19/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45  % Memory   : 8046.5625MB
% 0.19/0.45  % OS       : Linux 6.8.0-71-generic
% 0.19/0.45  % CPULimit : 300
% 0.19/0.45  % WCLimit  : 300
% 0.19/0.45  % DateTime : Mon Sep 21 04:18:18 UTC 2026
% 0.19/0.45  % CPUTime  : 
% 0.19/0.45  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.51  Running first-order theorem proving
% 0.23/0.52  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.23/0.56  % Version: 3.5.1
% 0.23/0.56  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.56  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.56  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.56  % Starting new_bool_3 with 300s (1) cores
% 0.23/0.56  % Starting new_bool_1 with 300s (1) cores
% 0.23/0.56  % Starting sh5l with 300s (1) cores
% 0.23/0.56  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2533709 completed with status 0
% 0.23/0.56  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.23/0.56  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.56  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.56  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.56  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.56  % No SInE strategy applied
% 0.23/0.56  % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.23/0.56  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.56  % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.56  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/0.56  % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.23/0.56  % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 0.23/0.56  % Starting new_bool_3 with 136s (1) cores
% 0.23/0.56  % SAT001_MinMin_p005000_rr_RG with pid 2533717 completed with status 0
% 0.23/0.56  % Result found by SAT001_MinMin_p005000_rr_RG
% 0.23/0.56  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.56  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.56  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.56  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.56  % No SInE strategy applied
% 0.23/0.56  % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.23/0.56  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.56  % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.56  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/0.56  % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.23/0.56  % Preprocessing time       : 0.002 s
% 0.23/0.56  % Presaturation interreduction done
% 0.23/0.56  
% 0.23/0.56  % Proof found!
% 0.23/0.56  % SZS status Theorem
% 0.23/0.56  % SZS output start CNFRefutation
% See solution above
% 0.23/0.56  % Parsed axioms                        : 41
% 0.23/0.56  % Removed by relevancy pruning/SinE    : 0
% 0.23/0.56  % Initial clauses                      : 97
% 0.23/0.56  % Removed in clause preprocessing      : 5
% 0.23/0.56  % Initial clauses in saturation        : 92
% 0.23/0.56  % Processed clauses                    : 152
% 0.23/0.56  % ...of these trivial                  : 4
% 0.23/0.56  % ...subsumed                          : 4
% 0.23/0.56  % ...remaining for further processing  : 144
% 0.23/0.56  % Other redundant clauses eliminated   : 5
% 0.23/0.56  % Clauses deleted for lack of memory   : 0
% 0.23/0.56  % Backward-subsumed                    : 13
% 0.23/0.56  % Backward-rewritten                   : 23
% 0.23/0.56  % Generated clauses                    : 95
% 0.23/0.56  % ...of the previous two non-redundant : 69
% 0.23/0.56  % ...aggressively subsumed             : 0
% 0.23/0.56  % Contextual simplify-reflections      : 0
% 0.23/0.56  % Paramodulations                      : 89
% 0.23/0.56  % Factorizations                       : 0
% 0.23/0.56  % NegExts                              : 0
% 0.23/0.56  % Equation resolutions                 : 6
% 0.23/0.56  % Disequality decompositions           : 0
% 0.23/0.56  % Total rewrite steps                  : 159
% 0.23/0.56  % ...of those cached                   : 150
% 0.23/0.56  % Propositional unsat checks           : 0
% 0.23/0.56  %    Propositional check models        : 0
% 0.23/0.56  %    Propositional check unsatisfiable : 0
% 0.23/0.56  %    Propositional clauses             : 0
% 0.23/0.56  %    Propositional clauses after purity: 0
% 0.23/0.56  %    Propositional unsat core size     : 0
% 0.23/0.56  %    Propositional preprocessing time  : 0.000
% 0.23/0.56  %    Propositional encoding time       : 0.000
% 0.23/0.56  %    Propositional solver time         : 0.000
% 0.23/0.56  %    Success case prop preproc time    : 0.000
% 0.23/0.56  %    Success case prop encoding time   : 0.000
% 0.23/0.56  %    Success case prop solver time     : 0.000
% 0.23/0.56  % Current number of processed clauses  : 48
% 0.23/0.56  %    Positive orientable unit clauses  : 9
% 0.23/0.56  %    Positive unorientable unit clauses: 0
% 0.23/0.56  %    Negative unit clauses             : 7
% 0.23/0.56  %    Non-unit-clauses                  : 32
% 0.23/0.56  % Current number of unprocessed clauses: 66
% 0.23/0.56  % ...number of literals in the above   : 250
% 0.23/0.56  % Current number of archived formulas  : 0
% 0.23/0.56  % Current number of archived clauses   : 93
% 0.23/0.56  % Clause-clause subsumption calls (NU) : 2315
% 0.23/0.56  % Rec. Clause-clause subsumption calls : 1028
% 0.23/0.56  % Non-unit clause-clause subsumptions  : 3
% 0.23/0.56  % Unit Clause-clause subsumption calls : 47
% 0.23/0.56  % Rewrite failures with RHS unbound    : 0
% 0.23/0.56  % BW rewrite match attempts            : 2
% 0.23/0.56  % BW rewrite match successes           : 2
% 0.23/0.56  % Condensation attempts                : 0
% 0.23/0.56  % Condensation successes               : 0
% 0.23/0.56  % Termbank termtop insertions          : 9136
% 0.23/0.56  % Search garbage collected termcells   : 1538
% 0.23/0.56  
% 0.23/0.56  % -------------------------------------------------
% 0.23/0.56  % User time                : 0.020 s
% 0.23/0.56  % System time              : 0.003 s
% 0.23/0.56  % Total time               : 0.023 s
% 0.23/0.56  % Maximum resident set size: 3956 pages
% 0.23/0.56  
% 0.23/0.56  % -------------------------------------------------
% 0.23/0.56  % User time                : 0.068 s
% 0.23/0.56  % System time              : 0.012 s
% 0.23/0.56  % Total time               : 0.080 s
% 0.23/0.56  % Maximum resident set size: 4608 pages
% 0.23/0.56  % E exiting
%------------------------------------------------------------------------------