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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : RNG053+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% 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  : 600s
% DateTime : Mon Jul 18 20:26:43 EDT 2022

% Result   : Theorem 0.48s 45.66s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  149 (  60 unt;   0 def)
%            Number of atoms       :  423 (  90 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  464 ( 190   ~; 186   |;  68   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  17 con; 0-2 aty)
%            Number of variables   :  142 (   1 sgn  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMNeg) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mScZero) ).

fof(mMulSc,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => aScalar0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulSc) ).

fof(m__1911,hypothesis,
    ( aScalar0(xP)
    & xP = sdtasdt0(xE,xH) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1911) ).

fof(m__1820,hypothesis,
    ( aScalar0(xE)
    & xE = sdtasasdt0(xp,xq) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1820) ).

fof(m__1873,hypothesis,
    ( aScalar0(xH)
    & xH = sdtasdt0(xA,xB) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1873) ).

fof(mNegSc,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => aScalar0(smndt0(X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNegSc) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mArith) ).

fof(m__,conjecture,
    sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLEMon) ).

fof(mLETrn,axiom,
    ! [X1,X2,X3] :
      ( ( aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X3) )
       => sdtlseqdt0(X1,X3) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLETrn) ).

fof(mSumSc,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => aScalar0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSumSc) ).

fof(m__1949,hypothesis,
    ( aScalar0(xN)
    & xN = sdtasdt0(xR,xS) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1949) ).

fof(mSqPos,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSqPos) ).

fof(mScSqPos,axiom,
    ! [X1] :
      ( aVector0(X1)
     => sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mScSqPos) ).

fof(m__1726,hypothesis,
    ( aVector0(xq)
    & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
    & ! [X1] :
        ( aNaturalNumber0(X1)
       => sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
    & xq = sziznziztdt0(xt) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1726) ).

fof(m__1709,hypothesis,
    ( aVector0(xp)
    & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
    & ! [X1] :
        ( aNaturalNumber0(X1)
       => sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
    & xp = sziznziztdt0(xs) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1709) ).

fof(mSZeroSc,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSZeroSc) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mPosMon) ).

fof(m__1837,hypothesis,
    ( aScalar0(xF)
    & xF = sdtasdt0(xA,xA) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1837) ).

fof(m__1746,hypothesis,
    ( aScalar0(xA)
    & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1746) ).

fof(m__1800,hypothesis,
    ( aScalar0(xD)
    & xD = sdtasasdt0(xq,xq) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1800) ).

fof(m__1783,hypothesis,
    ( aScalar0(xC)
    & xC = sdtasasdt0(xp,xp) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1783) ).

fof(m__1854,hypothesis,
    ( aScalar0(xG)
    & xG = sdtasdt0(xB,xB) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1854) ).

fof(m__1766,hypothesis,
    ( aScalar0(xB)
    & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1766) ).

fof(m__1930,hypothesis,
    ( aScalar0(xS)
    & xS = sdtasdt0(xF,xD) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1930) ).

fof(m__1892,hypothesis,
    ( aScalar0(xR)
    & xR = sdtasdt0(xC,xG) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1892) ).

fof(mLETot,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( sdtlseqdt0(X1,X2)
        | sdtlseqdt0(X2,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLETot) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLEMonM) ).

fof(mLERef,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => sdtlseqdt0(X1,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLERef) ).

fof(c_0_30,plain,
    ! [X3,X4] :
      ( ( sdtasdt0(X3,smndt0(X4)) = smndt0(sdtasdt0(X3,X4))
        | ~ aScalar0(X3)
        | ~ aScalar0(X4) )
      & ( sdtasdt0(smndt0(X3),X4) = smndt0(sdtasdt0(X3,X4))
        | ~ aScalar0(X3)
        | ~ aScalar0(X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])]) ).

fof(c_0_31,plain,
    ! [X2] :
      ( ( sdtpldt0(X2,sz0z00) = X2
        | ~ aScalar0(X2) )
      & ( sdtpldt0(sz0z00,X2) = X2
        | ~ aScalar0(X2) )
      & ( sdtasdt0(X2,sz0z00) = sz0z00
        | ~ aScalar0(X2) )
      & ( sdtasdt0(sz0z00,X2) = sz0z00
        | ~ aScalar0(X2) )
      & ( sdtpldt0(X2,smndt0(X2)) = sz0z00
        | ~ aScalar0(X2) )
      & ( sdtpldt0(smndt0(X2),X2) = sz0z00
        | ~ aScalar0(X2) )
      & ( smndt0(smndt0(X2)) = X2
        | ~ aScalar0(X2) )
      & ( smndt0(sz0z00) = sz0z00
        | ~ aScalar0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])]) ).

fof(c_0_32,plain,
    ! [X3,X4] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X4)
      | aScalar0(sdtasdt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).

cnf(c_0_33,plain,
    ( sdtasdt0(X2,smndt0(X1)) = smndt0(sdtasdt0(X2,X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_34,hypothesis,
    xP = sdtasdt0(xE,xH),
    inference(split_conjunct,[status(thm)],[m__1911]) ).

cnf(c_0_35,hypothesis,
    aScalar0(xE),
    inference(split_conjunct,[status(thm)],[m__1820]) ).

cnf(c_0_36,hypothesis,
    aScalar0(xH),
    inference(split_conjunct,[status(thm)],[m__1873]) ).

cnf(c_0_37,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_38,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_39,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_33,c_0_34]),c_0_35]),c_0_36])]) ).

fof(c_0_40,plain,
    ! [X2] :
      ( ~ aScalar0(X2)
      | aScalar0(smndt0(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).

fof(c_0_41,plain,
    ! [X4,X5,X6] :
      ( ( sdtpldt0(sdtpldt0(X4,X5),X6) = sdtpldt0(X4,sdtpldt0(X5,X6))
        | ~ aScalar0(X4)
        | ~ aScalar0(X5)
        | ~ aScalar0(X6) )
      & ( sdtpldt0(X4,X5) = sdtpldt0(X5,X4)
        | ~ aScalar0(X4)
        | ~ aScalar0(X5)
        | ~ aScalar0(X6) )
      & ( sdtasdt0(sdtasdt0(X4,X5),X6) = sdtasdt0(X4,sdtasdt0(X5,X6))
        | ~ aScalar0(X4)
        | ~ aScalar0(X5)
        | ~ aScalar0(X6) )
      & ( sdtasdt0(X4,X5) = sdtasdt0(X5,X4)
        | ~ aScalar0(X4)
        | ~ aScalar0(X5)
        | ~ aScalar0(X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])]) ).

cnf(c_0_42,plain,
    ( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_33]),c_0_38]) ).

cnf(c_0_43,hypothesis,
    ( aScalar0(smndt0(xP))
    | ~ aScalar0(smndt0(xH)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_35])]) ).

cnf(c_0_44,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_45,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_46,plain,
    ! [X5,X6,X7,X8] :
      ( ~ aScalar0(X5)
      | ~ aScalar0(X6)
      | ~ aScalar0(X7)
      | ~ aScalar0(X8)
      | ~ sdtlseqdt0(X5,X6)
      | ~ sdtlseqdt0(X7,X8)
      | sdtlseqdt0(sdtpldt0(X5,X7),sdtpldt0(X6,X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])]) ).

fof(c_0_47,plain,
    ! [X4,X5,X6] :
      ( ~ aScalar0(X4)
      | ~ aScalar0(X5)
      | ~ aScalar0(X6)
      | ~ sdtlseqdt0(X4,X5)
      | ~ sdtlseqdt0(X5,X6)
      | sdtlseqdt0(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])]) ).

fof(c_0_48,plain,
    ! [X3,X4] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X4)
      | aScalar0(sdtpldt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSumSc])]) ).

cnf(c_0_49,plain,
    ( smndt0(sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_50,hypothesis,
    aScalar0(xN),
    inference(split_conjunct,[status(thm)],[m__1949]) ).

fof(c_0_51,plain,
    ! [X2] :
      ( ~ aScalar0(X2)
      | sdtlseqdt0(sz0z00,sdtasdt0(X2,X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])]) ).

fof(c_0_52,plain,
    ! [X2] :
      ( ~ aVector0(X2)
      | sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])]) ).

fof(c_0_53,hypothesis,
    ! [X2] :
      ( aVector0(xq)
      & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
      & ( ~ aNaturalNumber0(X2)
        | sdtlbdtrb0(xq,X2) = sdtlbdtrb0(xt,X2) )
      & xq = sziznziztdt0(xt) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1726])])])])]) ).

fof(c_0_54,hypothesis,
    ! [X2] :
      ( aVector0(xp)
      & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
      & ( ~ aNaturalNumber0(X2)
        | sdtlbdtrb0(xp,X2) = sdtlbdtrb0(xs,X2) )
      & xp = sziznziztdt0(xs) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1709])])])])]) ).

cnf(c_0_55,plain,
    ( sdtpldt0(sdtpldt0(X3,X2),X1) = sdtpldt0(X3,sdtpldt0(X2,X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_56,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_57,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_58,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_42,c_0_39]),c_0_34]),c_0_35]),c_0_36])]) ).

cnf(c_0_59,hypothesis,
    aScalar0(smndt0(xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_36])]) ).

fof(c_0_60,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

cnf(c_0_61,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_62,plain,
    ( sdtpldt0(X1,sz0z00) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_63,plain,
    aScalar0(sz0z00),
    inference(split_conjunct,[status(thm)],[mSZeroSc]) ).

cnf(c_0_64,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_65,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_66,hypothesis,
    smndt0(sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

fof(c_0_67,plain,
    ! [X3,X4] :
      ( ( sdtlseqdt0(sz0z00,sdtpldt0(X3,X4))
        | ~ sdtlseqdt0(sz0z00,X3)
        | ~ sdtlseqdt0(sz0z00,X4)
        | ~ aScalar0(X3)
        | ~ aScalar0(X4) )
      & ( sdtlseqdt0(sz0z00,sdtasdt0(X3,X4))
        | ~ sdtlseqdt0(sz0z00,X3)
        | ~ sdtlseqdt0(sz0z00,X4)
        | ~ aScalar0(X3)
        | ~ aScalar0(X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])]) ).

cnf(c_0_68,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_69,hypothesis,
    xF = sdtasdt0(xA,xA),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_70,hypothesis,
    aScalar0(xA),
    inference(split_conjunct,[status(thm)],[m__1746]) ).

cnf(c_0_71,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_72,hypothesis,
    xD = sdtasasdt0(xq,xq),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_73,hypothesis,
    aVector0(xq),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_74,hypothesis,
    xC = sdtasasdt0(xp,xp),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

cnf(c_0_75,hypothesis,
    aVector0(xp),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_76,hypothesis,
    xG = sdtasdt0(xB,xB),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_77,hypothesis,
    aScalar0(xB),
    inference(split_conjunct,[status(thm)],[m__1766]) ).

cnf(c_0_78,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_44]) ).

cnf(c_0_79,hypothesis,
    sdtpldt0(smndt0(xP),xP) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).

cnf(c_0_80,hypothesis,
    aScalar0(xP),
    inference(split_conjunct,[status(thm)],[m__1911]) ).

cnf(c_0_81,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_82,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),X3)
    | ~ sdtlseqdt0(X2,sz0z00)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).

cnf(c_0_83,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X2,X3))
    | ~ sdtlseqdt0(X1,sdtpldt0(X4,X5))
    | ~ sdtlseqdt0(X5,X3)
    | ~ sdtlseqdt0(X4,X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X5)
    | ~ aScalar0(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_61]),c_0_65]),c_0_65]) ).

cnf(c_0_84,hypothesis,
    sdtpldt0(sz0z00,sz0z00) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_66]),c_0_63])]) ).

cnf(c_0_85,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(sz0z00,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_86,hypothesis,
    xS = sdtasdt0(xF,xD),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_87,hypothesis,
    aScalar0(xF),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_88,hypothesis,
    aScalar0(xD),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_89,hypothesis,
    sdtlseqdt0(sz0z00,xF),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).

cnf(c_0_90,hypothesis,
    sdtlseqdt0(sz0z00,xD),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).

cnf(c_0_91,hypothesis,
    xR = sdtasdt0(xC,xG),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_92,hypothesis,
    aScalar0(xC),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

cnf(c_0_93,hypothesis,
    aScalar0(xG),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_94,hypothesis,
    sdtlseqdt0(sz0z00,xC),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_74]),c_0_75])]) ).

cnf(c_0_95,hypothesis,
    sdtlseqdt0(sz0z00,xG),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_76]),c_0_77])]) ).

cnf(c_0_96,plain,
    ( sdtasdt0(smndt0(X2),X1) = smndt0(sdtasdt0(X2,X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_97,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_98,plain,
    ( sdtlseqdt0(sdtpldt0(X1,sdtpldt0(X2,X3)),sdtpldt0(X4,X5))
    | ~ sdtlseqdt0(sdtpldt0(X1,X2),X4)
    | ~ sdtlseqdt0(X3,X5)
    | ~ aScalar0(X5)
    | ~ aScalar0(X4)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_55]),c_0_65]) ).

cnf(c_0_99,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_78,c_0_79]),c_0_58]),c_0_59]),c_0_80])]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ sdtlseqdt0(xP,sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(xP,sz0z00)
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_80])]) ).

cnf(c_0_101,hypothesis,
    ( sdtlseqdt0(X1,sdtpldt0(X2,X3))
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ sdtlseqdt0(sz0z00,X3)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_63])]) ).

cnf(c_0_102,hypothesis,
    sdtlseqdt0(sz0z00,xS),
    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_85,c_0_86]),c_0_87]),c_0_88])]),c_0_89]),c_0_90])]) ).

cnf(c_0_103,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_85,c_0_91]),c_0_92]),c_0_93])]),c_0_94]),c_0_95])]) ).

cnf(c_0_104,hypothesis,
    aScalar0(xS),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

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

fof(c_0_106,plain,
    ! [X3,X4] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X4)
      | sdtlseqdt0(X3,X4)
      | sdtlseqdt0(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])]) ).

cnf(c_0_107,plain,
    ( sdtasdt0(sdtasdt0(X3,X2),X1) = sdtasdt0(X3,sdtasdt0(X2,X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_108,plain,
    ( sdtasdt0(smndt0(X1),sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_63])]),c_0_66]) ).

cnf(c_0_109,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ sdtlseqdt0(sdtpldt0(X1,X2),X3)
    | ~ sdtlseqdt0(sz0z00,X4)
    | ~ aScalar0(X4)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_62]),c_0_63])]) ).

cnf(c_0_110,hypothesis,
    sdtpldt0(sz0z00,xP) = xP,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_99]),c_0_80])]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ sdtlseqdt0(xP,sz0z00)
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    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_100,c_0_101]),c_0_102]),c_0_103]),c_0_80]),c_0_104]),c_0_105])]) ).

cnf(c_0_112,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

fof(c_0_113,plain,
    ! [X5,X6,X7,X8] :
      ( ~ aScalar0(X5)
      | ~ aScalar0(X6)
      | ~ aScalar0(X7)
      | ~ aScalar0(X8)
      | ~ sdtlseqdt0(X5,X6)
      | ~ sdtlseqdt0(sz0z00,X7)
      | ~ sdtlseqdt0(X7,X8)
      | sdtlseqdt0(sdtasdt0(X5,X7),sdtasdt0(X6,X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])]) ).

cnf(c_0_114,hypothesis,
    ( sdtasdt0(xE,sdtasdt0(xH,X1)) = sdtasdt0(xP,X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_34]),c_0_35]),c_0_36])]) ).

cnf(c_0_115,hypothesis,
    sdtasdt0(xP,sz0z00) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_58]),c_0_59])]) ).

cnf(c_0_116,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sz0z00)
    | ~ sdtlseqdt0(sdtpldt0(X1,X2),smndt0(X3))
    | ~ sdtlseqdt0(sz0z00,X3)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_56]),c_0_44]) ).

cnf(c_0_117,hypothesis,
    sdtpldt0(xP,sz0z00) = xP,
    inference(rw,[status(thm)],[c_0_99,c_0_110]) ).

cnf(c_0_118,negated_conjecture,
    ~ sdtlseqdt0(xP,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_65]),c_0_104]),c_0_105])]) ).

cnf(c_0_119,hypothesis,
    ( sdtlseqdt0(xP,X1)
    | sdtlseqdt0(X1,xP)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_80]) ).

cnf(c_0_120,plain,
    ( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_121,hypothesis,
    sdtasdt0(smndt0(xE),xH) = smndt0(xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_34]),c_0_35]),c_0_36])]) ).

cnf(c_0_122,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_114,c_0_97]),c_0_115]),c_0_63]),c_0_36])]) ).

cnf(c_0_123,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_124,hypothesis,
    ( ~ sdtlseqdt0(xP,smndt0(X1))
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_80]),c_0_63])]),c_0_118]) ).

cnf(c_0_125,hypothesis,
    sdtlseqdt0(xP,xP),
    inference(spm,[status(thm)],[c_0_119,c_0_80]) ).

fof(c_0_126,plain,
    ! [X2] :
      ( ~ aScalar0(X2)
      | sdtlseqdt0(X2,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])]) ).

cnf(c_0_127,hypothesis,
    xH = sdtasdt0(xA,xB),
    inference(split_conjunct,[status(thm)],[m__1873]) ).

cnf(c_0_128,hypothesis,
    ( sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xP))
    | ~ sdtlseqdt0(X1,smndt0(xE))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X2,xH)
    | ~ aScalar0(smndt0(xE))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_36])]) ).

cnf(c_0_129,hypothesis,
    sdtasdt0(smndt0(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_96,c_0_122]),c_0_66]),c_0_35]),c_0_63])]) ).

cnf(c_0_130,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_123]),c_0_63])]) ).

cnf(c_0_131,hypothesis,
    ~ sdtlseqdt0(sz0z00,smndt0(xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_58]),c_0_125]),c_0_59])]) ).

cnf(c_0_132,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_133,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_33,c_0_127]),c_0_70]),c_0_77])]) ).

cnf(c_0_134,plain,
    ( aScalar0(sdtasdt0(X1,smndt0(X2)))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_33]),c_0_38]) ).

cnf(c_0_135,hypothesis,
    ( sdtlseqdt0(xH,X1)
    | sdtlseqdt0(X1,xH)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_36]) ).

cnf(c_0_136,hypothesis,
    ( ~ sdtlseqdt0(sz0z00,xH)
    | ~ aScalar0(smndt0(xE)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]),c_0_63])]),c_0_131]),c_0_132]) ).

cnf(c_0_137,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_42,c_0_133]),c_0_127]),c_0_70]),c_0_77])]) ).

cnf(c_0_138,hypothesis,
    aScalar0(smndt0(xH)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_133]),c_0_70]),c_0_77])]) ).

cnf(c_0_139,hypothesis,
    ( sdtlseqdt0(sz0z00,xH)
    | sdtlseqdt0(xH,sz0z00) ),
    inference(spm,[status(thm)],[c_0_135,c_0_63]) ).

cnf(c_0_140,hypothesis,
    ~ sdtlseqdt0(sz0z00,xH),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_44]),c_0_35])]) ).

cnf(c_0_141,hypothesis,
    ( sdtlseqdt0(xE,X1)
    | sdtlseqdt0(X1,xE)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_35]) ).

cnf(c_0_142,hypothesis,
    sdtpldt0(smndt0(xH),xH) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_137]),c_0_138])]) ).

cnf(c_0_143,hypothesis,
    sdtlseqdt0(xH,sz0z00),
    inference(sr,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_144,hypothesis,
    ( sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xP))
    | ~ sdtlseqdt0(X2,smndt0(xH))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X1,xE)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_39]),c_0_35])]),c_0_138])]) ).

cnf(c_0_145,hypothesis,
    sdtlseqdt0(xE,xE),
    inference(spm,[status(thm)],[c_0_141,c_0_35]) ).

cnf(c_0_146,hypothesis,
    ( sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(smndt0(xH),X1)
    | ~ aScalar0(X1) ),
    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_82,c_0_142]),c_0_36]),c_0_138])]),c_0_143])]) ).

cnf(c_0_147,hypothesis,
    ~ sdtlseqdt0(sz0z00,smndt0(xH)),
    inference(sr,[status(thm)],[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_122]),c_0_130]),c_0_145]),c_0_63]),c_0_35])]),c_0_131]) ).

cnf(c_0_148,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_132]),c_0_138])]),c_0_147]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG053+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon May 30 17:25:42 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.35/23.40  eprover: CPU time limit exceeded, terminating
% 0.35/23.41  eprover: CPU time limit exceeded, terminating
% 0.35/23.41  eprover: CPU time limit exceeded, terminating
% 0.35/23.47  eprover: CPU time limit exceeded, terminating
% 0.48/45.66  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.48/45.66  
% 0.48/45.66  # Failure: Resource limit exceeded (time)
% 0.48/45.66  # OLD status Res
% 0.48/45.66  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.48/45.66  # Preprocessing time       : 0.018 s
% 0.48/45.66  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.48/45.66  # Preprocessing time       : 0.018 s
% 0.48/45.66  
% 0.48/45.66  # Proof found!
% 0.48/45.66  # SZS status Theorem
% 0.48/45.66  # SZS output start CNFRefutation
% See solution above
% 0.48/45.66  # Proof object total steps             : 149
% 0.48/45.66  # Proof object clause steps            : 101
% 0.48/45.66  # Proof object formula steps           : 48
% 0.48/45.66  # Proof object conjectures             : 7
% 0.48/45.66  # Proof object clause conjectures      : 4
% 0.48/45.66  # Proof object formula conjectures     : 3
% 0.48/45.66  # Proof object initial clauses used    : 46
% 0.48/45.66  # Proof object initial formulas used   : 30
% 0.48/45.66  # Proof object generating inferences   : 53
% 0.48/45.66  # Proof object simplifying inferences  : 134
% 0.48/45.66  # Training examples: 0 positive, 0 negative
% 0.48/45.66  # Parsed axioms                        : 57
% 0.48/45.66  # Removed by relevancy pruning/SinE    : 0
% 0.48/45.66  # Initial clauses                      : 95
% 0.48/45.66  # Removed in clause preprocessing      : 5
% 0.48/45.66  # Initial clauses in saturation        : 90
% 0.48/45.66  # Processed clauses                    : 30418
% 0.48/45.66  # ...of these trivial                  : 439
% 0.48/45.66  # ...subsumed                          : 24148
% 0.48/45.66  # ...remaining for further processing  : 5831
% 0.48/45.66  # Other redundant clauses eliminated   : 1
% 0.48/45.66  # Clauses deleted for lack of memory   : 848612
% 0.48/45.66  # Backward-subsumed                    : 618
% 0.48/45.66  # Backward-rewritten                   : 773
% 0.48/45.66  # Generated clauses                    : 1072906
% 0.48/45.66  # ...of the previous two non-trivial   : 1023065
% 0.48/45.66  # Contextual simplify-reflections      : 17073
% 0.48/45.66  # Paramodulations                      : 1072860
% 0.48/45.66  # Factorizations                       : 9
% 0.48/45.66  # Equation resolutions                 : 24
% 0.48/45.66  # Current number of processed clauses  : 4427
% 0.48/45.66  #    Positive orientable unit clauses  : 377
% 0.48/45.66  #    Positive unorientable unit clauses: 0
% 0.48/45.66  #    Negative unit clauses             : 32
% 0.48/45.66  #    Non-unit-clauses                  : 4018
% 0.48/45.66  # Current number of unprocessed clauses: 108356
% 0.48/45.66  # ...number of literals in the above   : 593148
% 0.48/45.66  # Current number of archived formulas  : 0
% 0.48/45.66  # Current number of archived clauses   : 1404
% 0.48/45.66  # Clause-clause subsumption calls (NU) : 8563155
% 0.48/45.66  # Rec. Clause-clause subsumption calls : 2268922
% 0.48/45.66  # Non-unit clause-clause subsumptions  : 33520
% 0.48/45.66  # Unit Clause-clause subsumption calls : 28037
% 0.48/45.66  # Rewrite failures with RHS unbound    : 0
% 0.48/45.66  # BW rewrite match attempts            : 1780
% 0.48/45.66  # BW rewrite match successes           : 91
% 0.48/45.66  # Condensation attempts                : 0
% 0.48/45.66  # Condensation successes               : 0
% 0.48/45.66  # Termbank termtop insertions          : 32003869
% 0.48/45.66  
% 0.48/45.66  # -------------------------------------------------
% 0.48/45.66  # User time                : 21.233 s
% 0.48/45.66  # System time              : 0.151 s
% 0.48/45.66  # Total time               : 21.384 s
% 0.48/45.66  # Maximum resident set size: 152552 pages
% 0.48/46.42  eprover: CPU time limit exceeded, terminating
% 0.48/46.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.44  eprover: No such file or directory
% 0.48/46.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.44  eprover: No such file or directory
% 0.48/46.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.45  eprover: No such file or directory
% 0.48/46.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.45  eprover: No such file or directory
% 0.48/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.46  eprover: No such file or directory
% 0.48/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.46  eprover: No such file or directory
% 0.48/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.46  eprover: No such file or directory
% 0.48/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.47  eprover: No such file or directory
% 0.48/46.47  eprover: CPU time limit exceeded, terminating
% 0.48/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.47  eprover: No such file or directory
% 0.48/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.48  eprover: No such file or directory
% 0.48/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.48  eprover: No such file or directory
% 0.48/46.48  eprover: CPU time limit exceeded, terminating
% 0.48/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.48  eprover: No such file or directory
% 0.48/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.49  eprover: No such file or directory
% 0.48/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.49  eprover: No such file or directory
% 0.48/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.49  eprover: No such file or directory
% 0.48/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.50  eprover: No such file or directory
% 0.48/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.50  eprover: No such file or directory
% 0.48/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.50  eprover: No such file or directory
% 0.48/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.50  eprover: No such file or directory
% 0.48/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.50  eprover: No such file or directory
% 0.48/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.51  eprover: No such file or directory
% 0.48/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.51  eprover: No such file or directory
% 0.48/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.51  eprover: No such file or directory
% 0.48/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.51  eprover: No such file or directory
% 0.48/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.51  eprover: No such file or directory
% 0.48/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.51  eprover: No such file or directory
% 0.48/46.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.52  eprover: No such file or directory
% 0.48/46.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.52  eprover: No such file or directory
% 0.48/46.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.52  eprover: No such file or directory
% 0.48/46.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.53  eprover: No such file or directory
%------------------------------------------------------------------------------