TSTP Solution File: RNG070+2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : RNG070+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:15:36 EDT 2023

% Result   : ContradictoryAxioms 11.32s 1.94s
% Output   : CNFRefutation 11.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  146 (  59 unt;   0 def)
%            Number of atoms       :  407 ( 102 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  431 ( 170   ~; 168   |;  70   &)
%                                         (   0 <=>;  23  =>;   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   :  125 (   1 sgn;  66   !;   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/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',mMNeg) ).

fof(mMulSc,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => aScalar0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',mMulSc) ).

fof(m__1930,hypothesis,
    ( aScalar0(xS)
    & xS = sdtasdt0(xF,xD) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__1930) ).

fof(m__1800,hypothesis,
    ( aScalar0(xD)
    & xD = sdtasasdt0(xq,xq) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__1800) ).

fof(m__1837,hypothesis,
    ( aScalar0(xF)
    & xF = sdtasdt0(xA,xA) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__1837) ).

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.OnBQOTdle7/E---3.1_5509.p',mScZero) ).

fof(m__1949,hypothesis,
    ( aScalar0(xN)
    & xN = sdtasdt0(xR,xS) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__1949) ).

fof(m__1892,hypothesis,
    ( aScalar0(xR)
    & xR = sdtasdt0(xC,xG) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__1892) ).

fof(mNegSc,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => aScalar0(smndt0(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',mNegSc) ).

fof(mScSqPos,axiom,
    ! [X1] :
      ( aVector0(X1)
     => sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',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/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__1726) ).

fof(mSqPos,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',mSqPos) ).

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/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__1709) ).

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.OnBQOTdle7/E---3.1_5509.p',mPosMon) ).

fof(m__1746,hypothesis,
    ( aScalar0(xA)
    & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__1746) ).

fof(m__1854,hypothesis,
    ( aScalar0(xG)
    & xG = sdtasdt0(xB,xB) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__1854) ).

fof(m__1766,hypothesis,
    ( aScalar0(xB)
    & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__1766) ).

fof(m__1783,hypothesis,
    ( aScalar0(xC)
    & xC = sdtasasdt0(xp,xp) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__1783) ).

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.OnBQOTdle7/E---3.1_5509.p',mLEMon) ).

fof(mSZeroSc,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',mSZeroSc) ).

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.OnBQOTdle7/E---3.1_5509.p',mLEMonM) ).

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.OnBQOTdle7/E---3.1_5509.p',mArith) ).

fof(m__2590,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__2590) ).

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/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',mLETrn) ).

fof(mLERef,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => sdtlseqdt0(X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',mLERef) ).

fof(m__1911,hypothesis,
    ( aScalar0(xP)
    & xP = sdtasdt0(xE,xH) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__1911) ).

fof(mLEASm,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X1) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',mLEASm) ).

fof(mLETot,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( sdtlseqdt0(X1,X2)
        | sdtlseqdt0(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',mLETot) ).

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.OnBQOTdle7/E---3.1_5509.p',mSqrt) ).

fof(m__2004,hypothesis,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    file('/export/starexec/sandbox/tmp/tmp.OnBQOTdle7/E---3.1_5509.p',m__2004) ).

fof(c_0_30,plain,
    ! [X63,X64] :
      ( ( sdtasdt0(X63,smndt0(X64)) = smndt0(sdtasdt0(X63,X64))
        | ~ aScalar0(X63)
        | ~ aScalar0(X64) )
      & ( sdtasdt0(smndt0(X63),X64) = smndt0(sdtasdt0(X63,X64))
        | ~ aScalar0(X63)
        | ~ aScalar0(X64) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])]) ).

fof(c_0_31,plain,
    ! [X42,X43] :
      ( ~ aScalar0(X42)
      | ~ aScalar0(X43)
      | aScalar0(sdtasdt0(X42,X43)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).

cnf(c_0_32,plain,
    ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_33,hypothesis,
    xS = sdtasdt0(xF,xD),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_34,hypothesis,
    aScalar0(xD),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_35,hypothesis,
    aScalar0(xF),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

fof(c_0_36,plain,
    ! [X29] :
      ( ( sdtpldt0(X29,sz0z00) = X29
        | ~ aScalar0(X29) )
      & ( sdtpldt0(sz0z00,X29) = X29
        | ~ aScalar0(X29) )
      & ( sdtasdt0(X29,sz0z00) = sz0z00
        | ~ aScalar0(X29) )
      & ( sdtasdt0(sz0z00,X29) = sz0z00
        | ~ aScalar0(X29) )
      & ( sdtpldt0(X29,smndt0(X29)) = sz0z00
        | ~ aScalar0(X29) )
      & ( sdtpldt0(smndt0(X29),X29) = sz0z00
        | ~ aScalar0(X29) )
      & ( smndt0(smndt0(X29)) = X29
        | ~ aScalar0(X29) )
      & ( smndt0(sz0z00) = sz0z00
        | ~ aScalar0(X29) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])]) ).

cnf(c_0_37,hypothesis,
    xN = sdtasdt0(xR,xS),
    inference(split_conjunct,[status(thm)],[m__1949]) ).

cnf(c_0_38,hypothesis,
    aScalar0(xS),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_39,hypothesis,
    aScalar0(xR),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_40,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_41,hypothesis,
    sdtasdt0(xF,smndt0(xD)) = smndt0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]) ).

fof(c_0_42,plain,
    ! [X62] :
      ( ~ aScalar0(X62)
      | aScalar0(smndt0(X62)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).

fof(c_0_43,plain,
    ! [X26] :
      ( ~ aVector0(X26)
      | sdtlseqdt0(sz0z00,sdtasasdt0(X26,X26)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])]) ).

fof(c_0_44,hypothesis,
    ! [X61] :
      ( aVector0(xq)
      & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
      & ( ~ aNaturalNumber0(X61)
        | sdtlbdtrb0(xq,X61) = sdtlbdtrb0(xt,X61) )
      & xq = sziznziztdt0(xt) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1726])])]) ).

fof(c_0_45,plain,
    ! [X23] :
      ( ~ aScalar0(X23)
      | sdtlseqdt0(sz0z00,sdtasdt0(X23,X23)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])]) ).

fof(c_0_46,hypothesis,
    ! [X60] :
      ( aVector0(xp)
      & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
      & ( ~ aNaturalNumber0(X60)
        | sdtlbdtrb0(xp,X60) = sdtlbdtrb0(xs,X60) )
      & xp = sziznziztdt0(xs) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1709])])]) ).

cnf(c_0_47,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_48,hypothesis,
    sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_37]),c_0_38]),c_0_39])]) ).

cnf(c_0_49,hypothesis,
    ( aScalar0(smndt0(xS))
    | ~ aScalar0(smndt0(xD)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_35])]) ).

cnf(c_0_50,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_51,plain,
    ! [X21,X22] :
      ( ( sdtlseqdt0(sz0z00,sdtpldt0(X21,X22))
        | ~ sdtlseqdt0(sz0z00,X21)
        | ~ sdtlseqdt0(sz0z00,X22)
        | ~ aScalar0(X21)
        | ~ aScalar0(X22) )
      & ( sdtlseqdt0(sz0z00,sdtasdt0(X21,X22))
        | ~ sdtlseqdt0(sz0z00,X21)
        | ~ sdtlseqdt0(sz0z00,X22)
        | ~ aScalar0(X21)
        | ~ aScalar0(X22) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])]) ).

cnf(c_0_52,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_53,hypothesis,
    xD = sdtasasdt0(xq,xq),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_54,hypothesis,
    aVector0(xq),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_55,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_56,hypothesis,
    xF = sdtasdt0(xA,xA),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_57,hypothesis,
    aScalar0(xA),
    inference(split_conjunct,[status(thm)],[m__1746]) ).

cnf(c_0_58,hypothesis,
    xG = sdtasdt0(xB,xB),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_59,hypothesis,
    aScalar0(xB),
    inference(split_conjunct,[status(thm)],[m__1766]) ).

cnf(c_0_60,hypothesis,
    xC = sdtasasdt0(xp,xp),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

cnf(c_0_61,hypothesis,
    aVector0(xp),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_62,hypothesis,
    xR = sdtasdt0(xC,xG),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_63,hypothesis,
    aScalar0(xG),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_64,hypothesis,
    aScalar0(xC),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

fof(c_0_65,plain,
    ! [X11,X12,X13,X14] :
      ( ~ aScalar0(X11)
      | ~ aScalar0(X12)
      | ~ aScalar0(X13)
      | ~ aScalar0(X14)
      | ~ sdtlseqdt0(X11,X12)
      | ~ sdtlseqdt0(X13,X14)
      | sdtlseqdt0(sdtpldt0(X11,X13),sdtpldt0(X12,X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])]) ).

cnf(c_0_66,plain,
    ( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_32]),c_0_40]) ).

cnf(c_0_67,hypothesis,
    ( aScalar0(smndt0(xN))
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_48]),c_0_39])]) ).

cnf(c_0_68,hypothesis,
    aScalar0(smndt0(xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_34])]) ).

cnf(c_0_69,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_70,hypothesis,
    sdtlseqdt0(sz0z00,xD),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).

cnf(c_0_71,hypothesis,
    sdtlseqdt0(sz0z00,xF),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).

cnf(c_0_72,hypothesis,
    sdtlseqdt0(sz0z00,xG),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_58]),c_0_59])]) ).

cnf(c_0_73,hypothesis,
    sdtlseqdt0(sz0z00,xC),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_60]),c_0_61])]) ).

cnf(c_0_74,hypothesis,
    sdtasdt0(xC,smndt0(xG)) = smndt0(xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_62]),c_0_63]),c_0_64])]) ).

cnf(c_0_75,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_65]) ).

cnf(c_0_76,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_77,plain,
    aScalar0(sz0z00),
    inference(split_conjunct,[status(thm)],[mSZeroSc]) ).

cnf(c_0_78,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_79,hypothesis,
    smndt0(smndt0(xN)) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_48]),c_0_37]),c_0_38]),c_0_39])]) ).

cnf(c_0_80,hypothesis,
    aScalar0(smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).

cnf(c_0_81,hypothesis,
    sdtlseqdt0(sz0z00,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_33]),c_0_70]),c_0_71]),c_0_34]),c_0_35])]) ).

cnf(c_0_82,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_69,c_0_62]),c_0_72]),c_0_73]),c_0_63]),c_0_64])]) ).

fof(c_0_83,plain,
    ! [X15,X16,X17,X18] :
      ( ~ aScalar0(X15)
      | ~ aScalar0(X16)
      | ~ aScalar0(X17)
      | ~ aScalar0(X18)
      | ~ sdtlseqdt0(X15,X16)
      | ~ sdtlseqdt0(sz0z00,X17)
      | ~ sdtlseqdt0(X17,X18)
      | sdtlseqdt0(sdtasdt0(X15,X17),sdtasdt0(X16,X18)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])]) ).

cnf(c_0_84,plain,
    ( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_85,hypothesis,
    ( aScalar0(smndt0(xR))
    | ~ aScalar0(smndt0(xG)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_74]),c_0_64])]) ).

fof(c_0_86,plain,
    ! [X30,X31,X32] :
      ( ( sdtpldt0(sdtpldt0(X30,X31),X32) = sdtpldt0(X30,sdtpldt0(X31,X32))
        | ~ aScalar0(X30)
        | ~ aScalar0(X31)
        | ~ aScalar0(X32) )
      & ( sdtpldt0(X30,X31) = sdtpldt0(X31,X30)
        | ~ aScalar0(X30)
        | ~ aScalar0(X31)
        | ~ aScalar0(X32) )
      & ( sdtasdt0(sdtasdt0(X30,X31),X32) = sdtasdt0(X30,sdtasdt0(X31,X32))
        | ~ aScalar0(X30)
        | ~ aScalar0(X31)
        | ~ aScalar0(X32) )
      & ( sdtasdt0(X30,X31) = sdtasdt0(X31,X30)
        | ~ aScalar0(X30)
        | ~ aScalar0(X31)
        | ~ aScalar0(X32) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])]) ).

fof(c_0_87,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(fof_simplification,[status(thm)],[m__2590]) ).

fof(c_0_88,plain,
    ! [X8,X9,X10] :
      ( ~ aScalar0(X8)
      | ~ aScalar0(X9)
      | ~ aScalar0(X10)
      | ~ sdtlseqdt0(X8,X9)
      | ~ sdtlseqdt0(X9,X10)
      | sdtlseqdt0(X8,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])]) ).

cnf(c_0_89,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X2,X3))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).

cnf(c_0_90,hypothesis,
    sdtpldt0(xN,smndt0(xN)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).

cnf(c_0_91,hypothesis,
    sdtlseqdt0(sz0z00,xN),
    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_69,c_0_37]),c_0_38]),c_0_39])]),c_0_81]),c_0_82])]) ).

cnf(c_0_92,hypothesis,
    aScalar0(xN),
    inference(split_conjunct,[status(thm)],[m__1949]) ).

fof(c_0_93,plain,
    ! [X5] :
      ( ~ aScalar0(X5)
      | sdtlseqdt0(X5,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])]) ).

cnf(c_0_94,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_83]) ).

cnf(c_0_95,hypothesis,
    sdtasdt0(smndt0(xR),xS) = smndt0(xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_37]),c_0_38]),c_0_39])]) ).

cnf(c_0_96,hypothesis,
    aScalar0(smndt0(xR)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_50]),c_0_63])]) ).

cnf(c_0_97,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_98,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_99,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_100,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_101,hypothesis,
    aScalar0(xP),
    inference(split_conjunct,[status(thm)],[m__1911]) ).

cnf(c_0_102,plain,
    ( sdtlseqdt0(X1,X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

fof(c_0_103,plain,
    ! [X6,X7] :
      ( ~ aScalar0(X6)
      | ~ aScalar0(X7)
      | ~ sdtlseqdt0(X6,X7)
      | ~ sdtlseqdt0(X7,X6)
      | X6 = X7 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])]) ).

cnf(c_0_104,hypothesis,
    ( sdtlseqdt0(X1,sz0z00)
    | ~ sdtlseqdt0(X1,smndt0(xN))
    | ~ aScalar0(X1) ),
    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_80]),c_0_92])]) ).

cnf(c_0_105,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_106,hypothesis,
    ( sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xN))
    | ~ sdtlseqdt0(X1,smndt0(xR))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X2,xS)
    | ~ 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_94,c_0_95]),c_0_38])]),c_0_96])]) ).

cnf(c_0_107,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_108,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_97]),c_0_77])]) ).

cnf(c_0_109,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_78]),c_0_50]) ).

cnf(c_0_110,hypothesis,
    sdtpldt0(smndt0(xN),xN) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_79]),c_0_80])]) ).

cnf(c_0_111,plain,
    ( smndt0(sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_112,plain,
    ! [X19,X20] :
      ( ~ aScalar0(X19)
      | ~ aScalar0(X20)
      | sdtlseqdt0(X19,X20)
      | sdtlseqdt0(X20,X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])]) ).

cnf(c_0_113,hypothesis,
    ( ~ sdtlseqdt0(xP,xS)
    | ~ sdtlseqdt0(xP,xR) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_75]),c_0_38]),c_0_101]),c_0_39])]) ).

cnf(c_0_114,hypothesis,
    ( sdtlseqdt0(X1,xS)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_81]),c_0_38]),c_0_77])]) ).

cnf(c_0_115,plain,
    ( X1 = X2
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_116,hypothesis,
    sdtlseqdt0(smndt0(xN),sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_80])]) ).

cnf(c_0_117,hypothesis,
    ( sdtlseqdt0(sz0z00,smndt0(xN))
    | ~ sdtlseqdt0(X1,smndt0(xR))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_81]),c_0_77])]) ).

cnf(c_0_118,plain,
    ( sdtpldt0(X1,sz0z00) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_119,hypothesis,
    sdtpldt0(xN,sz0z00) = sdtpldt0(sz0z00,xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_79]),c_0_92]),c_0_80])]) ).

cnf(c_0_120,hypothesis,
    smndt0(sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_111,c_0_92]) ).

cnf(c_0_121,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_122,hypothesis,
    ( ~ sdtlseqdt0(xP,xR)
    | ~ sdtlseqdt0(xP,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_101])]) ).

cnf(c_0_123,hypothesis,
    ( sdtlseqdt0(X1,xR)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_82]),c_0_39]),c_0_77])]) ).

cnf(c_0_124,hypothesis,
    ( smndt0(xN) = sz0z00
    | ~ sdtlseqdt0(sz0z00,smndt0(xN)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_80]),c_0_77])]) ).

cnf(c_0_125,hypothesis,
    sdtlseqdt0(sz0z00,smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_105]),c_0_96])]) ).

cnf(c_0_126,hypothesis,
    sdtpldt0(sz0z00,xN) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_92])]) ).

fof(c_0_127,plain,
    ! [X24,X25] :
      ( ~ aScalar0(X24)
      | ~ aScalar0(X25)
      | ~ sdtlseqdt0(sz0z00,X24)
      | ~ sdtlseqdt0(sz0z00,X25)
      | sdtasdt0(X24,X24) != sdtasdt0(X25,X25)
      | X24 = X25 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])]) ).

cnf(c_0_128,plain,
    ( sdtasdt0(sz0z00,smndt0(X1)) = sz0z00
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_97]),c_0_120]),c_0_77])]) ).

cnf(c_0_129,hypothesis,
    ( sdtlseqdt0(X1,xP)
    | sdtlseqdt0(xP,X1)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_121,c_0_101]) ).

cnf(c_0_130,hypothesis,
    ~ sdtlseqdt0(xP,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_101])]) ).

cnf(c_0_131,hypothesis,
    smndt0(xN) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125])]) ).

cnf(c_0_132,hypothesis,
    sdtpldt0(xN,sz0z00) = xN,
    inference(rw,[status(thm)],[c_0_119,c_0_126]) ).

cnf(c_0_133,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_127]) ).

cnf(c_0_134,hypothesis,
    sdtasdt0(sz0z00,sz0z00) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_120]),c_0_77])]) ).

cnf(c_0_135,hypothesis,
    sdtlseqdt0(sz0z00,xP),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_77]),c_0_130]) ).

cnf(c_0_136,hypothesis,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    inference(split_conjunct,[status(thm)],[m__2004]) ).

cnf(c_0_137,hypothesis,
    xN = sz0z00,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_131]),c_0_132]) ).

cnf(c_0_138,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_133,c_0_105]),c_0_77])]),c_0_134]) ).

cnf(c_0_139,hypothesis,
    ( sdtlseqdt0(X1,xP)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_135]),c_0_101]),c_0_77])]) ).

cnf(c_0_140,plain,
    ( sdtasdt0(X1,X2) = sz0z00
    | ~ sdtlseqdt0(sdtasdt0(X1,X2),sz0z00)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_69]),c_0_77])]),c_0_40]) ).

cnf(c_0_141,hypothesis,
    sdtlseqdt0(sdtasdt0(xP,xP),sz0z00),
    inference(rw,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_142,hypothesis,
    ( xP = sz0z00
    | sdtasdt0(xP,xP) != sz0z00 ),
    inference(cn,[status(thm)],[inference(rw,[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_108]),c_0_77])]) ).

cnf(c_0_143,hypothesis,
    sdtasdt0(xP,xP) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_135]),c_0_101])]) ).

cnf(c_0_144,hypothesis,
    xP = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143])]) ).

cnf(c_0_145,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_144]),c_0_108])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : RNG070+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 19:35:34 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  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.OnBQOTdle7/E---3.1_5509.p
% 11.32/1.94  # Version: 3.1pre001
% 11.32/1.94  # Preprocessing class: FSLSSMSMSSSNFFN.
% 11.32/1.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.32/1.94  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 11.32/1.94  # Starting new_bool_3 with 300s (1) cores
% 11.32/1.94  # Starting new_bool_1 with 300s (1) cores
% 11.32/1.94  # Starting sh5l with 300s (1) cores
% 11.32/1.94  # sh5l with pid 5604 completed with status 0
% 11.32/1.94  # Result found by sh5l
% 11.32/1.94  # Preprocessing class: FSLSSMSMSSSNFFN.
% 11.32/1.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.32/1.94  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 11.32/1.94  # Starting new_bool_3 with 300s (1) cores
% 11.32/1.94  # Starting new_bool_1 with 300s (1) cores
% 11.32/1.94  # Starting sh5l with 300s (1) cores
% 11.32/1.94  # SinE strategy is gf500_gu_R04_F100_L20000
% 11.32/1.94  # Search class: FGHSF-FFMM21-MFFFFFNN
% 11.32/1.94  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 11.32/1.94  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 11.32/1.94  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 5619 completed with status 0
% 11.32/1.94  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 11.32/1.94  # Preprocessing class: FSLSSMSMSSSNFFN.
% 11.32/1.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.32/1.94  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 11.32/1.94  # Starting new_bool_3 with 300s (1) cores
% 11.32/1.94  # Starting new_bool_1 with 300s (1) cores
% 11.32/1.94  # Starting sh5l with 300s (1) cores
% 11.32/1.94  # SinE strategy is gf500_gu_R04_F100_L20000
% 11.32/1.94  # Search class: FGHSF-FFMM21-MFFFFFNN
% 11.32/1.94  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 11.32/1.94  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 11.32/1.94  # Preprocessing time       : 0.002 s
% 11.32/1.94  # Presaturation interreduction done
% 11.32/1.94  
% 11.32/1.94  # Proof found!
% 11.32/1.94  # SZS status ContradictoryAxioms
% 11.32/1.94  # SZS output start CNFRefutation
% See solution above
% 11.32/1.95  # Parsed axioms                        : 61
% 11.32/1.95  # Removed by relevancy pruning/SinE    : 0
% 11.32/1.95  # Initial clauses                      : 99
% 11.32/1.95  # Removed in clause preprocessing      : 5
% 11.32/1.95  # Initial clauses in saturation        : 94
% 11.32/1.95  # Processed clauses                    : 4556
% 11.32/1.95  # ...of these trivial                  : 199
% 11.32/1.95  # ...subsumed                          : 2197
% 11.32/1.95  # ...remaining for further processing  : 2160
% 11.32/1.95  # Other redundant clauses eliminated   : 3
% 11.32/1.95  # Clauses deleted for lack of memory   : 0
% 11.32/1.95  # Backward-subsumed                    : 298
% 11.32/1.95  # Backward-rewritten                   : 532
% 11.32/1.95  # Generated clauses                    : 64152
% 11.32/1.95  # ...of the previous two non-redundant : 59114
% 11.32/1.95  # ...aggressively subsumed             : 0
% 11.32/1.95  # Contextual simplify-reflections      : 117
% 11.32/1.95  # Paramodulations                      : 64137
% 11.32/1.95  # Factorizations                       : 0
% 11.32/1.95  # NegExts                              : 0
% 11.32/1.95  # Equation resolutions                 : 14
% 11.32/1.95  # Total rewrite steps                  : 108515
% 11.32/1.95  # Propositional unsat checks           : 0
% 11.32/1.95  #    Propositional check models        : 0
% 11.32/1.95  #    Propositional check unsatisfiable : 0
% 11.32/1.95  #    Propositional clauses             : 0
% 11.32/1.95  #    Propositional clauses after purity: 0
% 11.32/1.95  #    Propositional unsat core size     : 0
% 11.32/1.95  #    Propositional preprocessing time  : 0.000
% 11.32/1.95  #    Propositional encoding time       : 0.000
% 11.32/1.95  #    Propositional solver time         : 0.000
% 11.32/1.95  #    Success case prop preproc time    : 0.000
% 11.32/1.95  #    Success case prop encoding time   : 0.000
% 11.32/1.95  #    Success case prop solver time     : 0.000
% 11.32/1.95  # Current number of processed clauses  : 1232
% 11.32/1.95  #    Positive orientable unit clauses  : 307
% 11.32/1.95  #    Positive unorientable unit clauses: 0
% 11.32/1.95  #    Negative unit clauses             : 10
% 11.32/1.95  #    Non-unit-clauses                  : 915
% 11.32/1.95  # Current number of unprocessed clauses: 54276
% 11.32/1.95  # ...number of literals in the above   : 248402
% 11.32/1.95  # Current number of archived formulas  : 0
% 11.32/1.95  # Current number of archived clauses   : 925
% 11.32/1.95  # Clause-clause subsumption calls (NU) : 276813
% 11.32/1.95  # Rec. Clause-clause subsumption calls : 119938
% 11.32/1.95  # Non-unit clause-clause subsumptions  : 2202
% 11.32/1.95  # Unit Clause-clause subsumption calls : 11869
% 11.32/1.95  # Rewrite failures with RHS unbound    : 0
% 11.32/1.95  # BW rewrite match attempts            : 51
% 11.32/1.95  # BW rewrite match successes           : 49
% 11.32/1.95  # Condensation attempts                : 0
% 11.32/1.95  # Condensation successes               : 0
% 11.32/1.95  # Termbank termtop insertions          : 1680199
% 11.32/1.95  
% 11.32/1.95  # -------------------------------------------------
% 11.32/1.95  # User time                : 1.330 s
% 11.32/1.95  # System time              : 0.065 s
% 11.32/1.95  # Total time               : 1.395 s
% 11.32/1.95  # Maximum resident set size: 2052 pages
% 11.32/1.95  
% 11.32/1.95  # -------------------------------------------------
% 11.32/1.95  # User time                : 1.332 s
% 11.32/1.95  # System time              : 0.067 s
% 11.32/1.95  # Total time               : 1.400 s
% 11.32/1.95  # Maximum resident set size: 1748 pages
% 11.32/1.95  % E---3.1 exiting
%------------------------------------------------------------------------------