TSTP Solution File: RNG057+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : RNG057+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 09:15:03 EDT 2024

% Result   : Theorem 92.30s 12.16s
% Output   : CNFRefutation 92.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  212 (  89 unt;   0 def)
%            Number of atoms       :  562 ( 181 equ)
%            Maximal formula atoms :   25 (   2 avg)
%            Number of connectives :  597 ( 247   ~; 249   |;  70   &)
%                                         (   2 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    6 (   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   :  181 (  12 sgn  76   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mDefInit,axiom,
    ! [X1] :
      ( aVector0(X1)
     => ( aDimensionOf0(X1) != sz00
       => ! [X2] :
            ( X2 = sziznziztdt0(X1)
          <=> ( aVector0(X2)
              & szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
              & ! [X3] :
                  ( aNaturalNumber0(X3)
                 => sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mDefInit) ).

fof(m__1692,hypothesis,
    aDimensionOf0(xs) != sz00,
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1692) ).

fof(mSuccEqu,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
       => X1 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mSuccEqu) ).

fof(m__1726,hypothesis,
    ( aVector0(xq)
    & xq = sziznziztdt0(xt) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1726) ).

fof(m__1678_01,hypothesis,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1678_01) ).

fof(m__1678,hypothesis,
    ( aVector0(xs)
    & aVector0(xt) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1678) ).

fof(mElmSc,axiom,
    ! [X1,X2] :
      ( ( aVector0(X1)
        & aNaturalNumber0(X2) )
     => aScalar0(sdtlbdtrb0(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mElmSc) ).

fof(m__1709,hypothesis,
    ( aVector0(xp)
    & xp = sziznziztdt0(xs) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1709) ).

fof(mArith,axiom,
    ! [X1,X2,X3] :
      ( ( aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3) )
     => ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
        & sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
        & sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
        & sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mArith) ).

fof(mNegSc,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => aScalar0(smndt0(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mNegSc) ).

fof(mMNeg,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
        & sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mMNeg) ).

fof(mMulSc,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => aScalar0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mMulSc) ).

fof(mDimNat,axiom,
    ! [X1] :
      ( aVector0(X1)
     => aNaturalNumber0(aDimensionOf0(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mDimNat) ).

fof(m__1911,hypothesis,
    ( aScalar0(xP)
    & xP = sdtasdt0(xE,xH) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1911) ).

fof(m__1873,hypothesis,
    ( aScalar0(xH)
    & xH = sdtasdt0(xA,xB) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1873) ).

fof(m__1820,hypothesis,
    ( aScalar0(xE)
    & xE = sdtasasdt0(xp,xq) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1820) ).

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/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mScZero) ).

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/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mLEMon) ).

fof(mSqPos,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mSqPos) ).

fof(mSZeroSc,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mSZeroSc) ).

fof(m__1949,hypothesis,
    ( aScalar0(xN)
    & xN = sdtasdt0(xR,xS) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1949) ).

fof(mLERef,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => sdtlseqdt0(X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mLERef) ).

fof(mLETot,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( sdtlseqdt0(X1,X2)
        | sdtlseqdt0(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mLETot) ).

fof(m__1854,hypothesis,
    ( aScalar0(xG)
    & xG = sdtasdt0(xB,xB) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1854) ).

fof(mLEASm,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X1) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mLEASm) ).

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/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mLEMonM) ).

fof(m__,conjecture,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__) ).

fof(mSqrt,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( ( sdtlseqdt0(sz0z00,X1)
          & sdtlseqdt0(sz0z00,X2)
          & sdtasdt0(X1,X1) = sdtasdt0(X2,X2) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mSqrt) ).

fof(mScSqPos,axiom,
    ! [X1] :
      ( aVector0(X1)
     => sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mScSqPos) ).

fof(m__1783,hypothesis,
    ( aScalar0(xC)
    & xC = sdtasasdt0(xp,xp) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1783) ).

fof(m__1892,hypothesis,
    ( aScalar0(xR)
    & xR = sdtasdt0(xC,xG) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1892) ).

fof(m__1930,hypothesis,
    ( aScalar0(xS)
    & xS = sdtasdt0(xF,xD) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1930) ).

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/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',mPosMon) ).

fof(m__1800,hypothesis,
    ( aScalar0(xD)
    & xD = sdtasasdt0(xq,xq) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1800) ).

fof(m__1837,hypothesis,
    ( aScalar0(xF)
    & xF = sdtasdt0(xA,xA) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1837) ).

fof(m__1746,hypothesis,
    ( aScalar0(xA)
    & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1746) ).

fof(m__1766,hypothesis,
    ( aScalar0(xB)
    & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
    file('/export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p',m__1766) ).

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

fof(c_0_38,plain,
    ! [X62,X63,X64,X65] :
      ( ( aVector0(X63)
        | X63 != sziznziztdt0(X62)
        | aDimensionOf0(X62) = sz00
        | ~ aVector0(X62) )
      & ( szszuzczcdt0(aDimensionOf0(X63)) = aDimensionOf0(X62)
        | X63 != sziznziztdt0(X62)
        | aDimensionOf0(X62) = sz00
        | ~ aVector0(X62) )
      & ( ~ aNaturalNumber0(X64)
        | sdtlbdtrb0(X63,X64) = sdtlbdtrb0(X62,X64)
        | X63 != sziznziztdt0(X62)
        | aDimensionOf0(X62) = sz00
        | ~ aVector0(X62) )
      & ( aNaturalNumber0(esk2_2(X62,X65))
        | ~ aVector0(X65)
        | szszuzczcdt0(aDimensionOf0(X65)) != aDimensionOf0(X62)
        | X65 = sziznziztdt0(X62)
        | aDimensionOf0(X62) = sz00
        | ~ aVector0(X62) )
      & ( sdtlbdtrb0(X65,esk2_2(X62,X65)) != sdtlbdtrb0(X62,esk2_2(X62,X65))
        | ~ aVector0(X65)
        | szszuzczcdt0(aDimensionOf0(X65)) != aDimensionOf0(X62)
        | X65 = sziznziztdt0(X62)
        | aDimensionOf0(X62) = sz00
        | ~ aVector0(X62) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])])])]) ).

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

cnf(c_0_40,plain,
    ( szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X2)
    | aDimensionOf0(X2) = sz00
    | X1 != sziznziztdt0(X2)
    | ~ aVector0(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]) ).

cnf(c_0_42,plain,
    ( sdtlbdtrb0(X2,X1) = sdtlbdtrb0(X3,X1)
    | aDimensionOf0(X3) = sz00
    | ~ aNaturalNumber0(X1)
    | X2 != sziznziztdt0(X3)
    | ~ aVector0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_43,plain,
    ! [X9,X10] :
      ( ~ aNaturalNumber0(X9)
      | ~ aNaturalNumber0(X10)
      | szszuzczcdt0(X9) != szszuzczcdt0(X10)
      | X9 = X10 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEqu])])]) ).

cnf(c_0_44,plain,
    ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1)
    | aDimensionOf0(X1) = sz00
    | ~ aVector0(X1) ),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_45,hypothesis,
    xq = sziznziztdt0(xt),
    inference(split_conjunct,[status(thm)],[m__1726]) ).

cnf(c_0_46,hypothesis,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(split_conjunct,[status(thm)],[m__1678_01]) ).

cnf(c_0_47,hypothesis,
    aVector0(xt),
    inference(split_conjunct,[status(thm)],[m__1678]) ).

cnf(c_0_48,hypothesis,
    aDimensionOf0(xs) != sz00,
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_49,plain,
    ! [X60,X61] :
      ( ~ aVector0(X60)
      | ~ aNaturalNumber0(X61)
      | aScalar0(sdtlbdtrb0(X60,X61)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mElmSc])])]) ).

cnf(c_0_50,plain,
    ( sdtlbdtrb0(sziznziztdt0(X1),X2) = sdtlbdtrb0(X1,X2)
    | aDimensionOf0(X1) = sz00
    | ~ aVector0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_51,plain,
    ( X1 = X2
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_52,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_44,c_0_45]),c_0_46]),c_0_46]),c_0_47])]),c_0_48]) ).

cnf(c_0_53,hypothesis,
    xp = sziznziztdt0(xs),
    inference(split_conjunct,[status(thm)],[m__1709]) ).

cnf(c_0_54,hypothesis,
    aVector0(xs),
    inference(split_conjunct,[status(thm)],[m__1678]) ).

fof(c_0_55,plain,
    ! [X21,X22,X23] :
      ( ( sdtpldt0(sdtpldt0(X21,X22),X23) = sdtpldt0(X21,sdtpldt0(X22,X23))
        | ~ aScalar0(X21)
        | ~ aScalar0(X22)
        | ~ aScalar0(X23) )
      & ( sdtpldt0(X21,X22) = sdtpldt0(X22,X21)
        | ~ aScalar0(X21)
        | ~ aScalar0(X22)
        | ~ aScalar0(X23) )
      & ( sdtasdt0(sdtasdt0(X21,X22),X23) = sdtasdt0(X21,sdtasdt0(X22,X23))
        | ~ aScalar0(X21)
        | ~ aScalar0(X22)
        | ~ aScalar0(X23) )
      & ( sdtasdt0(X21,X22) = sdtasdt0(X22,X21)
        | ~ aScalar0(X21)
        | ~ aScalar0(X22)
        | ~ aScalar0(X23) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])])]) ).

cnf(c_0_56,plain,
    ( aScalar0(sdtlbdtrb0(X1,X2))
    | ~ aVector0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_57,hypothesis,
    ( sdtlbdtrb0(xt,X1) = sdtlbdtrb0(xq,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_45]),c_0_46]),c_0_47])]),c_0_48]) ).

fof(c_0_58,plain,
    ! [X19] :
      ( ~ aScalar0(X19)
      | aScalar0(smndt0(X19)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])]) ).

fof(c_0_59,plain,
    ! [X31,X32] :
      ( ( sdtasdt0(X31,smndt0(X32)) = smndt0(sdtasdt0(X31,X32))
        | ~ aScalar0(X31)
        | ~ aScalar0(X32) )
      & ( sdtasdt0(smndt0(X31),X32) = smndt0(sdtasdt0(X31,X32))
        | ~ aScalar0(X31)
        | ~ aScalar0(X32) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])])]) ).

fof(c_0_60,plain,
    ! [X17,X18] :
      ( ~ aScalar0(X17)
      | ~ aScalar0(X18)
      | aScalar0(sdtasdt0(X17,X18)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])]) ).

cnf(c_0_61,hypothesis,
    ( aDimensionOf0(xq) = X1
    | szszuzczcdt0(X1) != aDimensionOf0(xs)
    | ~ aNaturalNumber0(aDimensionOf0(xq))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_62,hypothesis,
    szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_53]),c_0_54])]),c_0_48]) ).

fof(c_0_63,plain,
    ! [X59] :
      ( ~ aVector0(X59)
      | aNaturalNumber0(aDimensionOf0(X59)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDimNat])])]) ).

cnf(c_0_64,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_65,hypothesis,
    ( aScalar0(sdtlbdtrb0(xq,X1))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_47])]) ).

cnf(c_0_66,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_67,plain,
    ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_68,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_69,hypothesis,
    xP = sdtasdt0(xE,xH),
    inference(split_conjunct,[status(thm)],[m__1911]) ).

cnf(c_0_70,hypothesis,
    aScalar0(xH),
    inference(split_conjunct,[status(thm)],[m__1873]) ).

cnf(c_0_71,hypothesis,
    aScalar0(xE),
    inference(split_conjunct,[status(thm)],[m__1820]) ).

cnf(c_0_72,hypothesis,
    ( aDimensionOf0(xp) = aDimensionOf0(xq)
    | ~ aNaturalNumber0(aDimensionOf0(xq))
    | ~ aNaturalNumber0(aDimensionOf0(xp)) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_73,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_74,hypothesis,
    aVector0(xp),
    inference(split_conjunct,[status(thm)],[m__1709]) ).

cnf(c_0_75,hypothesis,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ aNaturalNumber0(X3) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_76,hypothesis,
    aScalar0(xP),
    inference(split_conjunct,[status(thm)],[m__1911]) ).

cnf(c_0_77,plain,
    ( aScalar0(sdtasdt0(X1,smndt0(X2)))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_78,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_67,c_0_69]),c_0_70]),c_0_71])]) ).

cnf(c_0_79,hypothesis,
    ( aDimensionOf0(xp) = aDimensionOf0(xq)
    | ~ aNaturalNumber0(aDimensionOf0(xq)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).

cnf(c_0_80,hypothesis,
    aVector0(xq),
    inference(split_conjunct,[status(thm)],[m__1726]) ).

fof(c_0_81,plain,
    ! [X20] :
      ( ( sdtpldt0(X20,sz0z00) = X20
        | ~ aScalar0(X20) )
      & ( sdtpldt0(sz0z00,X20) = X20
        | ~ aScalar0(X20) )
      & ( sdtasdt0(X20,sz0z00) = sz0z00
        | ~ aScalar0(X20) )
      & ( sdtasdt0(sz0z00,X20) = sz0z00
        | ~ aScalar0(X20) )
      & ( sdtpldt0(X20,smndt0(X20)) = sz0z00
        | ~ aScalar0(X20) )
      & ( sdtpldt0(smndt0(X20),X20) = sz0z00
        | ~ aScalar0(X20) )
      & ( smndt0(smndt0(X20)) = X20
        | ~ aScalar0(X20) )
      & ( smndt0(sz0z00) = sz0z00
        | ~ aScalar0(X20) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])])]) ).

cnf(c_0_82,hypothesis,
    ( sdtasdt0(X1,xP) = sdtasdt0(xP,X1)
    | ~ aScalar0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_83,hypothesis,
    aScalar0(smndt0(xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_70]),c_0_71])]) ).

cnf(c_0_84,hypothesis,
    aDimensionOf0(xp) = aDimensionOf0(xq),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_73]),c_0_80])]) ).

cnf(c_0_85,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_86,hypothesis,
    ( sdtasdt0(smndt0(xP),xP) = sdtasdt0(xP,smndt0(xP))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_87,hypothesis,
    aNaturalNumber0(aDimensionOf0(xq)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_84]),c_0_74])]) ).

cnf(c_0_88,plain,
    ( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_67]),c_0_68]) ).

cnf(c_0_89,plain,
    ( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_90,hypothesis,
    sdtasdt0(smndt0(xP),xP) = sdtasdt0(xP,smndt0(xP)),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_91,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_88,c_0_78]),c_0_69]),c_0_70]),c_0_71])]) ).

cnf(c_0_92,hypothesis,
    ( sdtasdt0(X1,xH) = sdtasdt0(xH,X1)
    | ~ aScalar0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_70]) ).

fof(c_0_93,plain,
    ! [X43,X44,X45,X46] :
      ( ~ aScalar0(X43)
      | ~ aScalar0(X44)
      | ~ aScalar0(X45)
      | ~ aScalar0(X46)
      | ~ sdtlseqdt0(X43,X44)
      | ~ sdtlseqdt0(X45,X46)
      | sdtlseqdt0(sdtpldt0(X43,X45),sdtpldt0(X44,X46)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])])]) ).

fof(c_0_94,plain,
    ! [X55] :
      ( ~ aScalar0(X55)
      | sdtlseqdt0(sz0z00,sdtasdt0(X55,X55)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])])]) ).

cnf(c_0_95,hypothesis,
    smndt0(sdtasdt0(xP,smndt0(xP))) = sdtasdt0(xP,xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_76]),c_0_83])]) ).

cnf(c_0_96,plain,
    aScalar0(sz0z00),
    inference(split_conjunct,[status(thm)],[mSZeroSc]) ).

cnf(c_0_97,hypothesis,
    ( sdtasdt0(xH,xE) = xP
    | ~ aNaturalNumber0(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_71]),c_0_69]) ).

cnf(c_0_98,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X4)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_99,plain,
    ( sdtpldt0(X1,sz0z00) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_100,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_101,hypothesis,
    aScalar0(sdtasdt0(xP,smndt0(xP))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_90]),c_0_76]),c_0_83])]) ).

cnf(c_0_102,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_103,hypothesis,
    sdtasdt0(smndt0(xP),smndt0(xP)) = sdtasdt0(xP,xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_95]),c_0_83]),c_0_76])]) ).

cnf(c_0_104,hypothesis,
    ( sdtasdt0(xP,sz0z00) = sdtasdt0(sz0z00,xP)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_96]) ).

cnf(c_0_105,plain,
    ( smndt0(sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_106,hypothesis,
    aScalar0(xN),
    inference(split_conjunct,[status(thm)],[m__1949]) ).

cnf(c_0_107,hypothesis,
    sdtasdt0(xH,xE) = xP,
    inference(spm,[status(thm)],[c_0_97,c_0_87]) ).

cnf(c_0_108,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X2,X3))
    | ~ sdtlseqdt0(sz0z00,X3)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_96])]) ).

cnf(c_0_109,hypothesis,
    sdtpldt0(sdtasdt0(xP,smndt0(xP)),sdtasdt0(xP,xP)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_95]),c_0_101])]) ).

cnf(c_0_110,hypothesis,
    sdtlseqdt0(sz0z00,sdtasdt0(xP,xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_83])]) ).

cnf(c_0_111,hypothesis,
    aScalar0(sdtasdt0(xP,xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_95]),c_0_101])]) ).

fof(c_0_112,plain,
    ! [X37] :
      ( ~ aScalar0(X37)
      | sdtlseqdt0(X37,X37) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])])]) ).

cnf(c_0_113,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_114,hypothesis,
    sdtasdt0(xP,sz0z00) = sdtasdt0(sz0z00,xP),
    inference(spm,[status(thm)],[c_0_104,c_0_87]) ).

fof(c_0_115,plain,
    ! [X51,X52] :
      ( ~ aScalar0(X51)
      | ~ aScalar0(X52)
      | sdtlseqdt0(X51,X52)
      | sdtlseqdt0(X52,X51) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])])]) ).

cnf(c_0_116,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_117,hypothesis,
    smndt0(sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_118,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_119,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X2))) = sz0z00
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_67]),c_0_68]) ).

cnf(c_0_120,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_67,c_0_107]),c_0_71]),c_0_70])]) ).

cnf(c_0_121,hypothesis,
    aScalar0(xG),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

fof(c_0_122,plain,
    ! [X38,X39] :
      ( ~ aScalar0(X38)
      | ~ aScalar0(X39)
      | ~ sdtlseqdt0(X38,X39)
      | ~ sdtlseqdt0(X39,X38)
      | X38 = X39 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])])]) ).

cnf(c_0_123,hypothesis,
    ( sdtlseqdt0(X1,sz0z00)
    | ~ sdtlseqdt0(X1,sdtasdt0(xP,smndt0(xP)))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_111]),c_0_101])]) ).

cnf(c_0_124,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

fof(c_0_125,plain,
    ! [X47,X48,X49,X50] :
      ( ~ aScalar0(X47)
      | ~ aScalar0(X48)
      | ~ aScalar0(X49)
      | ~ aScalar0(X50)
      | ~ sdtlseqdt0(X47,X48)
      | ~ sdtlseqdt0(sz0z00,X49)
      | ~ sdtlseqdt0(X49,X50)
      | sdtlseqdt0(sdtasdt0(X47,X49),sdtasdt0(X48,X50)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])])]) ).

cnf(c_0_126,hypothesis,
    sdtasdt0(sz0z00,xP) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_76])]) ).

cnf(c_0_127,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

fof(c_0_128,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).

fof(c_0_129,plain,
    ! [X56,X57] :
      ( ~ aScalar0(X56)
      | ~ aScalar0(X57)
      | ~ sdtlseqdt0(sz0z00,X56)
      | ~ sdtlseqdt0(sz0z00,X57)
      | sdtasdt0(X56,X56) != sdtasdt0(X57,X57)
      | X56 = X57 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])])]) ).

cnf(c_0_130,plain,
    ( sdtasdt0(sz0z00,smndt0(X1)) = sz0z00
    | ~ aScalar0(X1) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_116]),c_0_96])]),c_0_117]) ).

cnf(c_0_131,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),X3)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ sdtlseqdt0(X2,X3)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_118]),c_0_96])]) ).

cnf(c_0_132,hypothesis,
    sdtpldt0(xP,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_119,c_0_120]),c_0_107]),c_0_71]),c_0_70])]) ).

fof(c_0_133,plain,
    ! [X75] :
      ( ~ aVector0(X75)
      | sdtlseqdt0(sz0z00,sdtasasdt0(X75,X75)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])])]) ).

cnf(c_0_134,hypothesis,
    ( sdtasdt0(X1,xG) = sdtasdt0(xG,X1)
    | ~ aScalar0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_121]) ).

cnf(c_0_135,hypothesis,
    aScalar0(xC),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

cnf(c_0_136,hypothesis,
    xR = sdtasdt0(xC,xG),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_137,hypothesis,
    ( sdtasdt0(sdtasdt0(xP,xP),xP) = sdtasdt0(xP,sdtasdt0(xP,xP))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_111]) ).

cnf(c_0_138,plain,
    ( X1 = X2
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_139,hypothesis,
    sdtlseqdt0(sdtasdt0(xP,smndt0(xP)),sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_101])]) ).

cnf(c_0_140,plain,
    ( sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X4)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(sz0z00,X3)
    | ~ sdtlseqdt0(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_141,hypothesis,
    sdtasdt0(xP,sz0z00) = sz0z00,
    inference(rw,[status(thm)],[c_0_114,c_0_126]) ).

cnf(c_0_142,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_116]),c_0_96])]) ).

cnf(c_0_143,hypothesis,
    ( sdtlseqdt0(X1,xP)
    | sdtlseqdt0(xP,X1)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_76]) ).

cnf(c_0_144,hypothesis,
    xN = sdtasdt0(xR,xS),
    inference(split_conjunct,[status(thm)],[m__1949]) ).

cnf(c_0_145,hypothesis,
    aScalar0(xS),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_146,hypothesis,
    aScalar0(xR),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

fof(c_0_147,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
    inference(fof_nnf,[status(thm)],[c_0_128]) ).

cnf(c_0_148,plain,
    ( X1 = X2
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | sdtasdt0(X1,X1) != sdtasdt0(X2,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_149,hypothesis,
    sdtasdt0(sz0z00,sz0z00) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_117]),c_0_96])]) ).

cnf(c_0_150,hypothesis,
    ( sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(smndt0(xP),X1)
    | ~ sdtlseqdt0(xP,sz0z00)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_83]),c_0_76])]) ).

fof(c_0_151,plain,
    ! [X53,X54] :
      ( ( sdtlseqdt0(sz0z00,sdtpldt0(X53,X54))
        | ~ sdtlseqdt0(sz0z00,X53)
        | ~ sdtlseqdt0(sz0z00,X54)
        | ~ aScalar0(X53)
        | ~ aScalar0(X54) )
      & ( sdtlseqdt0(sz0z00,sdtasdt0(X53,X54))
        | ~ sdtlseqdt0(sz0z00,X53)
        | ~ sdtlseqdt0(sz0z00,X54)
        | ~ aScalar0(X53)
        | ~ aScalar0(X54) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])])]) ).

cnf(c_0_152,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_153,hypothesis,
    xD = sdtasasdt0(xq,xq),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_154,hypothesis,
    xF = sdtasdt0(xA,xA),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_155,hypothesis,
    aScalar0(xA),
    inference(split_conjunct,[status(thm)],[m__1746]) ).

cnf(c_0_156,hypothesis,
    ( sdtasdt0(xG,xC) = xR
    | ~ aNaturalNumber0(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).

cnf(c_0_157,hypothesis,
    xC = sdtasasdt0(xp,xp),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

cnf(c_0_158,hypothesis,
    xG = sdtasdt0(xB,xB),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_159,hypothesis,
    aScalar0(xB),
    inference(split_conjunct,[status(thm)],[m__1766]) ).

cnf(c_0_160,hypothesis,
    sdtasdt0(sdtasdt0(xP,xP),xP) = sdtasdt0(xP,sdtasdt0(xP,xP)),
    inference(spm,[status(thm)],[c_0_137,c_0_87]) ).

cnf(c_0_161,hypothesis,
    ( sdtasdt0(xP,smndt0(xP)) = sz0z00
    | ~ sdtlseqdt0(sz0z00,sdtasdt0(xP,smndt0(xP))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_101]),c_0_96])]) ).

cnf(c_0_162,hypothesis,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(xP,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_96]),c_0_76])]) ).

cnf(c_0_163,hypothesis,
    sdtlseqdt0(xP,xP),
    inference(spm,[status(thm)],[c_0_143,c_0_76]) ).

cnf(c_0_164,hypothesis,
    ( sdtlseqdt0(sdtasdt0(X1,X2),xN)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X2,xS)
    | ~ sdtlseqdt0(X1,xR)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_144]),c_0_145]),c_0_146])]) ).

cnf(c_0_165,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_166,plain,
    ( X1 = sz0z00
    | sdtasdt0(X1,X1) != sz0z00
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X1) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_124]),c_0_96])]),c_0_149]) ).

cnf(c_0_167,hypothesis,
    ( sdtlseqdt0(sz0z00,smndt0(xP))
    | ~ sdtlseqdt0(xP,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_124]),c_0_83])]) ).

cnf(c_0_168,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_169,hypothesis,
    xS = sdtasdt0(xF,xD),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_170,hypothesis,
    aScalar0(xD),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_171,hypothesis,
    aScalar0(xF),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_172,hypothesis,
    sdtlseqdt0(sz0z00,xD),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_80])]) ).

cnf(c_0_173,hypothesis,
    sdtlseqdt0(sz0z00,xF),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_154]),c_0_155])]) ).

cnf(c_0_174,hypothesis,
    sdtasdt0(xG,xC) = xR,
    inference(spm,[status(thm)],[c_0_156,c_0_87]) ).

cnf(c_0_175,hypothesis,
    sdtlseqdt0(sz0z00,xC),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_157]),c_0_74])]) ).

cnf(c_0_176,hypothesis,
    sdtlseqdt0(sz0z00,xG),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_158]),c_0_159])]) ).

cnf(c_0_177,hypothesis,
    aScalar0(sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_160]),c_0_76]),c_0_111])]) ).

cnf(c_0_178,hypothesis,
    ( sdtasdt0(xP,smndt0(xP)) = sz0z00
    | ~ sdtlseqdt0(sz0z00,smndt0(xP)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]),c_0_83]),c_0_76])]) ).

cnf(c_0_179,hypothesis,
    ( ~ sdtlseqdt0(sz0z00,smndt0(xP))
    | ~ sdtlseqdt0(smndt0(xP),xS)
    | ~ sdtlseqdt0(smndt0(xP),xR) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_103]),c_0_83])]),c_0_165]) ).

cnf(c_0_180,hypothesis,
    ( smndt0(xP) = sz0z00
    | sdtasdt0(xP,xP) != sz0z00
    | ~ sdtlseqdt0(xP,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_103]),c_0_83])]) ).

cnf(c_0_181,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_168,c_0_169]),c_0_170]),c_0_171])]),c_0_172]),c_0_173])]) ).

cnf(c_0_182,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_168,c_0_174]),c_0_175]),c_0_176]),c_0_135]),c_0_121])]) ).

cnf(c_0_183,hypothesis,
    ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_177]) ).

cnf(c_0_184,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_185,hypothesis,
    ( sdtasdt0(xP,smndt0(xP)) = sz0z00
    | ~ sdtlseqdt0(xP,sz0z00) ),
    inference(spm,[status(thm)],[c_0_178,c_0_167]) ).

cnf(c_0_186,hypothesis,
    ( sdtasdt0(xP,xP) != sz0z00
    | ~ sdtlseqdt0(xP,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_142]),c_0_181]),c_0_182])]) ).

cnf(c_0_187,hypothesis,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(spm,[status(thm)],[c_0_183,c_0_87]) ).

cnf(c_0_188,plain,
    ( sdtasdt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X4) = sdtasdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_184]),c_0_68]) ).

cnf(c_0_189,hypothesis,
    ( sdtlseqdt0(xP,sz0z00)
    | sdtlseqdt0(sz0z00,xP) ),
    inference(spm,[status(thm)],[c_0_143,c_0_96]) ).

cnf(c_0_190,hypothesis,
    ~ sdtlseqdt0(xP,sz0z00),
    inference(csr,[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_67,c_0_185]),c_0_117]),c_0_91]),c_0_83]),c_0_76])]),c_0_186]) ).

cnf(c_0_191,hypothesis,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_76])]) ).

cnf(c_0_192,hypothesis,
    smndt0(sdtasdt0(xP,xP)) = sdtasdt0(xP,smndt0(xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_95]),c_0_101])]) ).

cnf(c_0_193,hypothesis,
    smndt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),smndt0(xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_187]),c_0_76]),c_0_177])]) ).

cnf(c_0_194,hypothesis,
    smndt0(sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(sdtasdt0(xP,xP),smndt0(xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_160]),c_0_76]),c_0_111])]) ).

cnf(c_0_195,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X3,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_113]),c_0_96])]),c_0_142])]) ).

cnf(c_0_196,hypothesis,
    sdtlseqdt0(sz0z00,xP),
    inference(sr,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_197,hypothesis,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),smndt0(xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,smndt0(xP))),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_191]),c_0_192]),c_0_111])]),c_0_193]) ).

cnf(c_0_198,hypothesis,
    sdtasdt0(sdtasdt0(xP,xP),smndt0(xP)) = sdtasdt0(xP,sdtasdt0(xP,smndt0(xP))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_194]),c_0_192]),c_0_111]),c_0_76])]) ).

cnf(c_0_199,hypothesis,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,xP))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_76])]) ).

cnf(c_0_200,hypothesis,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,smndt0(xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,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_184,c_0_197]),c_0_198]),c_0_83]),c_0_111]),c_0_76])]) ).

cnf(c_0_201,hypothesis,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,xP))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_199,c_0_124]) ).

cnf(c_0_202,plain,
    ( smndt0(sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),X3)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_184]),c_0_68]) ).

cnf(c_0_203,hypothesis,
    smndt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,smndt0(xP))))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,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_67,c_0_200]),c_0_95]),c_0_191]),c_0_101]),c_0_111])]) ).

cnf(c_0_204,hypothesis,
    ( X1 = xP
    | sdtasdt0(X1,X1) != sdtasdt0(xP,xP)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_196]),c_0_76])]) ).

cnf(c_0_205,hypothesis,
    sdtlseqdt0(sz0z00,sdtasdt0(xP,smndt0(xP))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_90]),c_0_83])]) ).

cnf(c_0_206,hypothesis,
    sdtasdt0(sdtasdt0(xP,smndt0(xP)),sdtasdt0(xP,smndt0(xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_192]),c_0_101]),c_0_76])]) ).

cnf(c_0_207,hypothesis,
    ( sdtasdt0(xP,smndt0(xP)) = xP
    | sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))) != sdtasdt0(xP,xP) ),
    inference(cn,[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_101])]) ).

cnf(c_0_208,hypothesis,
    sdtasdt0(xP,smndt0(xP)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_205])]) ).

cnf(c_0_209,hypothesis,
    sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))) != sdtasdt0(xP,xP),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_207]),c_0_190]) ).

cnf(c_0_210,hypothesis,
    sdtasdt0(xP,xP) = sz0z00,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_208]),c_0_117]) ).

cnf(c_0_211,hypothesis,
    $false,
    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)],[c_0_209,c_0_210]),c_0_114]),c_0_126]),c_0_114]),c_0_126]),c_0_210])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : RNG057+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.10  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n026.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 11:47:21 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.41  Running first-order model finding
% 0.16/0.41  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Jp0WdNrjT3/E---3.1_5970.p
% 92.30/12.16  # Version: 3.1.0
% 92.30/12.16  # Preprocessing class: FSLSSMSMSSSNFFN.
% 92.30/12.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 92.30/12.16  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 92.30/12.16  # Starting new_bool_3 with 300s (1) cores
% 92.30/12.16  # Starting new_bool_1 with 300s (1) cores
% 92.30/12.16  # Starting sh5l with 300s (1) cores
% 92.30/12.16  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 6047 completed with status 0
% 92.30/12.16  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 92.30/12.16  # Preprocessing class: FSLSSMSMSSSNFFN.
% 92.30/12.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 92.30/12.16  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 92.30/12.16  # No SInE strategy applied
% 92.30/12.16  # Search class: FGHSF-FFMM21-MFFFFFNN
% 92.30/12.16  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 92.30/12.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 92.30/12.16  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 92.30/12.16  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 92.30/12.16  # Starting new_bool_3 with 136s (1) cores
% 92.30/12.16  # Starting new_bool_1 with 136s (1) cores
% 92.30/12.16  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 6055 completed with status 0
% 92.30/12.16  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 92.30/12.16  # Preprocessing class: FSLSSMSMSSSNFFN.
% 92.30/12.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 92.30/12.16  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 92.30/12.16  # No SInE strategy applied
% 92.30/12.16  # Search class: FGHSF-FFMM21-MFFFFFNN
% 92.30/12.16  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 92.30/12.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 92.30/12.16  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 92.30/12.16  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 92.30/12.16  # Preprocessing time       : 0.002 s
% 92.30/12.16  # Presaturation interreduction done
% 92.30/12.16  
% 92.30/12.16  # Proof found!
% 92.30/12.16  # SZS status Theorem
% 92.30/12.16  # SZS output start CNFRefutation
% See solution above
% 92.30/12.16  # Parsed axioms                        : 59
% 92.30/12.16  # Removed by relevancy pruning/SinE    : 0
% 92.30/12.16  # Initial clauses                      : 93
% 92.30/12.16  # Removed in clause preprocessing      : 5
% 92.30/12.16  # Initial clauses in saturation        : 88
% 92.30/12.16  # Processed clauses                    : 18401
% 92.30/12.16  # ...of these trivial                  : 1717
% 92.30/12.16  # ...subsumed                          : 9936
% 92.30/12.16  # ...remaining for further processing  : 6748
% 92.30/12.16  # Other redundant clauses eliminated   : 7
% 92.30/12.16  # Clauses deleted for lack of memory   : 0
% 92.30/12.16  # Backward-subsumed                    : 459
% 92.30/12.16  # Backward-rewritten                   : 2252
% 92.30/12.16  # Generated clauses                    : 495407
% 92.30/12.16  # ...of the previous two non-redundant : 452819
% 92.30/12.16  # ...aggressively subsumed             : 0
% 92.30/12.16  # Contextual simplify-reflections      : 176
% 92.30/12.16  # Paramodulations                      : 495376
% 92.30/12.16  # Factorizations                       : 0
% 92.30/12.16  # NegExts                              : 0
% 92.30/12.16  # Equation resolutions                 : 25
% 92.30/12.16  # Disequality decompositions           : 0
% 92.30/12.16  # Total rewrite steps                  : 1470935
% 92.30/12.16  # ...of those cached                   : 1469420
% 92.30/12.16  # Propositional unsat checks           : 1
% 92.30/12.16  #    Propositional check models        : 0
% 92.30/12.16  #    Propositional check unsatisfiable : 0
% 92.30/12.16  #    Propositional clauses             : 0
% 92.30/12.16  #    Propositional clauses after purity: 0
% 92.30/12.16  #    Propositional unsat core size     : 0
% 92.30/12.16  #    Propositional preprocessing time  : 0.000
% 92.30/12.16  #    Propositional encoding time       : 0.874
% 92.30/12.16  #    Propositional solver time         : 0.897
% 92.30/12.16  #    Success case prop preproc time    : 0.000
% 92.30/12.16  #    Success case prop encoding time   : 0.000
% 92.30/12.16  #    Success case prop solver time     : 0.000
% 92.30/12.16  # Current number of processed clauses  : 3940
% 92.30/12.16  #    Positive orientable unit clauses  : 1331
% 92.30/12.16  #    Positive unorientable unit clauses: 0
% 92.30/12.16  #    Negative unit clauses             : 3
% 92.30/12.16  #    Non-unit-clauses                  : 2606
% 92.30/12.16  # Current number of unprocessed clauses: 429411
% 92.30/12.16  # ...number of literals in the above   : 1361008
% 92.30/12.16  # Current number of archived formulas  : 0
% 92.30/12.16  # Current number of archived clauses   : 2805
% 92.30/12.16  # Clause-clause subsumption calls (NU) : 1090777
% 92.30/12.16  # Rec. Clause-clause subsumption calls : 727274
% 92.30/12.16  # Non-unit clause-clause subsumptions  : 10262
% 92.30/12.16  # Unit Clause-clause subsumption calls : 30126
% 92.30/12.16  # Rewrite failures with RHS unbound    : 0
% 92.30/12.16  # BW rewrite match attempts            : 7615
% 92.30/12.16  # BW rewrite match successes           : 392
% 92.30/12.16  # Condensation attempts                : 0
% 92.30/12.16  # Condensation successes               : 0
% 92.30/12.16  # Termbank termtop insertions          : 17316167
% 92.30/12.16  # Search garbage collected termcells   : 885
% 92.30/12.16  
% 92.30/12.16  # -------------------------------------------------
% 92.30/12.16  # User time                : 10.944 s
% 92.30/12.16  # System time              : 0.502 s
% 92.30/12.16  # Total time               : 11.447 s
% 92.30/12.16  # Maximum resident set size: 1980 pages
% 92.30/12.16  
% 92.30/12.16  # -------------------------------------------------
% 92.30/12.16  # User time                : 55.673 s
% 92.30/12.16  # System time              : 1.415 s
% 92.30/12.16  # Total time               : 57.088 s
% 92.30/12.16  # Maximum resident set size: 1756 pages
% 92.30/12.16  % E---3.1 exiting
%------------------------------------------------------------------------------