TSTP Solution File: RNG064+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : RNG064+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:36:54 EDT 2024

% Result   : Theorem 10.38s 1.78s
% Output   : CNFRefutation 10.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  135 (  56 unt;   0 def)
%            Number of atoms       :  370 (  91 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  397 ( 162   ~; 155   |;  60   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  14 con; 0-2 aty)
%            Number of variables   :  113 (   1 sgn  58   !;   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/sandbox2/benchmark/theBenchmark.p',mMNeg) ).

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

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

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

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

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

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

fof(m__2144,hypothesis,
    ( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)
    & sdtasdt0(smndt0(xS),xR) = smndt0(xN)
    & sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).

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

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/sandbox2/benchmark/theBenchmark.p',mScZero) ).

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

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

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

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

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

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/sandbox2/benchmark/theBenchmark.p',mPosMon) ).

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

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

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

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

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/sandbox2/benchmark/theBenchmark.p',mLEMon) ).

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/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).

fof(m__,conjecture,
    sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

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

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

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

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/sandbox2/benchmark/theBenchmark.p',mSqrt) ).

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

fof(c_0_28,plain,
    ! [X46,X47] :
      ( ( sdtasdt0(X46,smndt0(X47)) = smndt0(sdtasdt0(X46,X47))
        | ~ aScalar0(X46)
        | ~ aScalar0(X47) )
      & ( sdtasdt0(smndt0(X46),X47) = smndt0(sdtasdt0(X46,X47))
        | ~ aScalar0(X46)
        | ~ aScalar0(X47) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])])]) ).

fof(c_0_29,plain,
    ! [X44,X45] :
      ( ~ aScalar0(X44)
      | ~ aScalar0(X45)
      | aScalar0(sdtasdt0(X44,X45)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])]) ).

cnf(c_0_30,plain,
    ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_31,hypothesis,
    xS = sdtasdt0(xF,xD),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_32,hypothesis,
    aScalar0(xD),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_33,hypothesis,
    aScalar0(xF),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_34,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_35,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_30,c_0_31]),c_0_32]),c_0_33])]) ).

fof(c_0_36,plain,
    ! [X51] :
      ( ~ aScalar0(X51)
      | aScalar0(smndt0(X51)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])]) ).

fof(c_0_37,plain,
    ! [X32,X33,X34] :
      ( ( sdtpldt0(sdtpldt0(X32,X33),X34) = sdtpldt0(X32,sdtpldt0(X33,X34))
        | ~ aScalar0(X32)
        | ~ aScalar0(X33)
        | ~ aScalar0(X34) )
      & ( sdtpldt0(X32,X33) = sdtpldt0(X33,X32)
        | ~ aScalar0(X32)
        | ~ aScalar0(X33)
        | ~ aScalar0(X34) )
      & ( sdtasdt0(sdtasdt0(X32,X33),X34) = sdtasdt0(X32,sdtasdt0(X33,X34))
        | ~ aScalar0(X32)
        | ~ aScalar0(X33)
        | ~ aScalar0(X34) )
      & ( sdtasdt0(X32,X33) = sdtasdt0(X33,X32)
        | ~ aScalar0(X32)
        | ~ aScalar0(X33)
        | ~ aScalar0(X34) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])])]) ).

cnf(c_0_38,hypothesis,
    ( aScalar0(smndt0(xS))
    | ~ aScalar0(smndt0(xD)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_33])]) ).

cnf(c_0_39,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_40,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_41,hypothesis,
    sdtasdt0(smndt0(xS),xR) = smndt0(xN),
    inference(split_conjunct,[status(thm)],[m__2144]) ).

cnf(c_0_42,hypothesis,
    aScalar0(xR),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_43,hypothesis,
    aScalar0(smndt0(xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_32])]) ).

cnf(c_0_44,hypothesis,
    sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
    inference(split_conjunct,[status(thm)],[m__2144]) ).

fof(c_0_45,plain,
    ! [X31] :
      ( ( sdtpldt0(X31,sz0z00) = X31
        | ~ aScalar0(X31) )
      & ( sdtpldt0(sz0z00,X31) = X31
        | ~ aScalar0(X31) )
      & ( sdtasdt0(X31,sz0z00) = sz0z00
        | ~ aScalar0(X31) )
      & ( sdtasdt0(sz0z00,X31) = sz0z00
        | ~ aScalar0(X31) )
      & ( sdtpldt0(X31,smndt0(X31)) = sz0z00
        | ~ aScalar0(X31) )
      & ( sdtpldt0(smndt0(X31),X31) = sz0z00
        | ~ aScalar0(X31) )
      & ( smndt0(smndt0(X31)) = X31
        | ~ aScalar0(X31) )
      & ( smndt0(sz0z00) = sz0z00
        | ~ aScalar0(X31) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])])]) ).

fof(c_0_46,plain,
    ! [X28] :
      ( ~ aVector0(X28)
      | sdtlseqdt0(sz0z00,sdtasasdt0(X28,X28)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])])]) ).

fof(c_0_47,plain,
    ! [X25] :
      ( ~ aScalar0(X25)
      | sdtlseqdt0(sz0z00,sdtasdt0(X25,X25)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])])]) ).

cnf(c_0_48,hypothesis,
    xR = sdtasdt0(xC,xG),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_49,hypothesis,
    aScalar0(xG),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_50,hypothesis,
    aScalar0(xC),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

cnf(c_0_51,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_52,hypothesis,
    aScalar0(xN),
    inference(split_conjunct,[status(thm)],[m__1949]) ).

cnf(c_0_53,hypothesis,
    ( sdtasdt0(smndt0(xS),sdtasdt0(xR,X1)) = sdtasdt0(smndt0(xN),X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]),c_0_43])]) ).

cnf(c_0_54,hypothesis,
    xN = sdtasdt0(xR,xS),
    inference(split_conjunct,[status(thm)],[m__1949]) ).

cnf(c_0_55,hypothesis,
    aScalar0(xS),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_56,hypothesis,
    ( aScalar0(smndt0(xN))
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_44]),c_0_42])]) ).

cnf(c_0_57,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_58,plain,
    ! [X23,X24] :
      ( ( sdtlseqdt0(sz0z00,sdtpldt0(X23,X24))
        | ~ sdtlseqdt0(sz0z00,X23)
        | ~ sdtlseqdt0(sz0z00,X24)
        | ~ aScalar0(X23)
        | ~ aScalar0(X24) )
      & ( sdtlseqdt0(sz0z00,sdtasdt0(X23,X24))
        | ~ sdtlseqdt0(sz0z00,X23)
        | ~ sdtlseqdt0(sz0z00,X24)
        | ~ aScalar0(X23)
        | ~ aScalar0(X24) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])])]) ).

cnf(c_0_59,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_60,hypothesis,
    xD = sdtasasdt0(xq,xq),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_61,hypothesis,
    aVector0(xq),
    inference(split_conjunct,[status(thm)],[m__1726]) ).

cnf(c_0_62,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_63,hypothesis,
    xF = sdtasdt0(xA,xA),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_64,hypothesis,
    aScalar0(xA),
    inference(split_conjunct,[status(thm)],[m__1746]) ).

cnf(c_0_65,hypothesis,
    xG = sdtasdt0(xB,xB),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_66,hypothesis,
    aScalar0(xB),
    inference(split_conjunct,[status(thm)],[m__1766]) ).

cnf(c_0_67,hypothesis,
    xC = sdtasasdt0(xp,xp),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

cnf(c_0_68,hypothesis,
    aVector0(xp),
    inference(split_conjunct,[status(thm)],[m__1709]) ).

cnf(c_0_69,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_30,c_0_48]),c_0_49]),c_0_50])]) ).

cnf(c_0_70,hypothesis,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_71,hypothesis,
    sdtasdt0(smndt0(xN),xS) = sdtasdt0(smndt0(xS),xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).

cnf(c_0_72,hypothesis,
    aScalar0(smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_43])]) ).

fof(c_0_73,plain,
    ! [X13,X14,X15,X16] :
      ( ~ aScalar0(X13)
      | ~ aScalar0(X14)
      | ~ aScalar0(X15)
      | ~ aScalar0(X16)
      | ~ sdtlseqdt0(X13,X14)
      | ~ sdtlseqdt0(X15,X16)
      | sdtlseqdt0(sdtpldt0(X13,X15),sdtpldt0(X14,X16)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])])]) ).

cnf(c_0_74,plain,
    ( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_30]),c_0_34]) ).

cnf(c_0_75,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_76,hypothesis,
    sdtlseqdt0(sz0z00,xD),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).

cnf(c_0_77,hypothesis,
    sdtlseqdt0(sz0z00,xF),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).

cnf(c_0_78,hypothesis,
    sdtlseqdt0(sz0z00,xG),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_65]),c_0_66])]) ).

cnf(c_0_79,hypothesis,
    sdtlseqdt0(sz0z00,xC),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_67]),c_0_68])]) ).

fof(c_0_80,plain,
    ! [X17,X18,X19,X20] :
      ( ~ aScalar0(X17)
      | ~ aScalar0(X18)
      | ~ aScalar0(X19)
      | ~ aScalar0(X20)
      | ~ sdtlseqdt0(X17,X18)
      | ~ sdtlseqdt0(sz0z00,X19)
      | ~ sdtlseqdt0(X19,X20)
      | sdtlseqdt0(sdtasdt0(X17,X19),sdtasdt0(X18,X20)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])])]) ).

cnf(c_0_81,plain,
    ( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_82,hypothesis,
    ( aScalar0(smndt0(xR))
    | ~ aScalar0(smndt0(xG)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_69]),c_0_50])]) ).

cnf(c_0_83,hypothesis,
    ( sdtasdt0(xR,sdtasdt0(smndt0(xS),X1)) = sdtasdt0(smndt0(xN),X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_44]),c_0_42])]),c_0_43])]) ).

cnf(c_0_84,hypothesis,
    sdtasdt0(smndt0(xS),xN) = sdtasdt0(xS,smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_55]),c_0_72])]) ).

fof(c_0_85,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).

cnf(c_0_86,hypothesis,
    sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
    inference(split_conjunct,[status(thm)],[m__2144]) ).

cnf(c_0_87,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_73]) ).

cnf(c_0_88,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_89,plain,
    aScalar0(sz0z00),
    inference(split_conjunct,[status(thm)],[mSZeroSc]) ).

cnf(c_0_90,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_91,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_74,c_0_44]),c_0_54]),c_0_55]),c_0_42])]) ).

cnf(c_0_92,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_75,c_0_31]),c_0_76]),c_0_77]),c_0_32]),c_0_33])]) ).

cnf(c_0_93,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_75,c_0_48]),c_0_78]),c_0_79]),c_0_49]),c_0_50])]) ).

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_80]) ).

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_81,c_0_54]),c_0_55]),c_0_42])]) ).

cnf(c_0_96,hypothesis,
    aScalar0(smndt0(xR)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_39]),c_0_49])]) ).

cnf(c_0_97,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_98,hypothesis,
    ( sdtasdt0(xR,sdtasdt0(xS,X1)) = sdtasdt0(xN,X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_54]),c_0_55]),c_0_42])]) ).

cnf(c_0_99,hypothesis,
    sdtasdt0(xR,sdtasdt0(xS,smndt0(xN))) = sdtasdt0(smndt0(xN),xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_52])]) ).

fof(c_0_100,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(fof_nnf,[status(thm)],[c_0_85]) ).

cnf(c_0_101,hypothesis,
    ( aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(smndt0(xS)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_86]) ).

fof(c_0_102,plain,
    ! [X10,X11,X12] :
      ( ~ aScalar0(X10)
      | ~ aScalar0(X11)
      | ~ aScalar0(X12)
      | ~ sdtlseqdt0(X10,X11)
      | ~ sdtlseqdt0(X11,X12)
      | sdtlseqdt0(X10,X12) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])])]) ).

cnf(c_0_103,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_87,c_0_88]),c_0_89])]) ).

cnf(c_0_104,hypothesis,
    sdtpldt0(xN,smndt0(xN)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_72])]) ).

cnf(c_0_105,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_75,c_0_54]),c_0_55]),c_0_42])]),c_0_92]),c_0_93])]) ).

fof(c_0_106,plain,
    ! [X7] :
      ( ~ aScalar0(X7)
      | sdtlseqdt0(X7,X7) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])])]) ).

fof(c_0_107,plain,
    ! [X26,X27] :
      ( ~ aScalar0(X26)
      | ~ aScalar0(X27)
      | ~ sdtlseqdt0(sz0z00,X26)
      | ~ sdtlseqdt0(sz0z00,X27)
      | sdtasdt0(X26,X26) != sdtasdt0(X27,X27)
      | X26 = X27 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])])]) ).

cnf(c_0_108,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_55])]),c_0_96])]) ).

cnf(c_0_109,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_110,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_97]),c_0_89])]) ).

cnf(c_0_111,hypothesis,
    sdtasdt0(smndt0(xN),xN) = sdtasdt0(xN,smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_72])]) ).

cnf(c_0_112,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_113,hypothesis,
    aScalar0(sdtasdt0(xS,xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_39]),c_0_55])]) ).

cnf(c_0_114,plain,
    ( sdtlseqdt0(X1,X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

fof(c_0_115,plain,
    ! [X8,X9] :
      ( ~ aScalar0(X8)
      | ~ aScalar0(X9)
      | ~ sdtlseqdt0(X8,X9)
      | ~ sdtlseqdt0(X9,X8)
      | X8 = X9 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])])]) ).

cnf(c_0_116,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_103,c_0_104]),c_0_105]),c_0_72]),c_0_52])]) ).

cnf(c_0_117,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_118,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_107]) ).

cnf(c_0_119,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_108,c_0_109]),c_0_110]),c_0_92]),c_0_89])]) ).

cnf(c_0_120,hypothesis,
    smndt0(sdtasdt0(xN,smndt0(xN))) = sdtasdt0(xN,xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_111]),c_0_91]),c_0_52]),c_0_72])]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ sdtlseqdt0(xN,sdtasdt0(xS,xS))
    | ~ sdtlseqdt0(xN,sdtasdt0(xR,xR))
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_87]),c_0_113]),c_0_52])]) ).

cnf(c_0_122,plain,
    ( sdtlseqdt0(X1,sdtasdt0(X2,X2))
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(sdtasdt0(X2,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_62]),c_0_89])]) ).

cnf(c_0_123,plain,
    ( X1 = X2
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_124,hypothesis,
    sdtlseqdt0(smndt0(xN),sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_72])]) ).

cnf(c_0_125,hypothesis,
    ( X1 = xN
    | sdtasdt0(X1,X1) != sdtasdt0(xN,xN)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_105]),c_0_52])]) ).

cnf(c_0_126,hypothesis,
    sdtlseqdt0(sz0z00,smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_117]),c_0_96])]) ).

cnf(c_0_127,hypothesis,
    sdtasdt0(smndt0(xN),smndt0(xN)) = sdtasdt0(xN,xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_120]),c_0_72]),c_0_52])]) ).

cnf(c_0_128,negated_conjecture,
    ( ~ sdtlseqdt0(xN,sdtasdt0(xS,xS))
    | ~ sdtlseqdt0(xN,sz0z00)
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_52]),c_0_42])]) ).

cnf(c_0_129,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_123,c_0_124]),c_0_72]),c_0_89])]) ).

cnf(c_0_130,hypothesis,
    smndt0(xN) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]),c_0_72])]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ sdtlseqdt0(xN,sz0z00)
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_122]),c_0_113]),c_0_52]),c_0_55])]) ).

cnf(c_0_132,hypothesis,
    xN = sz0z00,
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_126])]),c_0_130]) ).

cnf(c_0_133,negated_conjecture,
    ~ aScalar0(sdtasdt0(xR,xR)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132]),c_0_110])]) ).

cnf(c_0_134,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_34]),c_0_42])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : RNG064+1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat May 18 12:01:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order model finding
% 0.19/0.46  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 10.38/1.78  # Version: 3.1.0
% 10.38/1.78  # Preprocessing class: FSLSSMSMSSSNFFN.
% 10.38/1.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.38/1.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.38/1.78  # Starting new_bool_3 with 300s (1) cores
% 10.38/1.78  # Starting new_bool_1 with 300s (1) cores
% 10.38/1.78  # Starting sh5l with 300s (1) cores
% 10.38/1.78  # sh5l with pid 11688 completed with status 0
% 10.38/1.78  # Result found by sh5l
% 10.38/1.78  # Preprocessing class: FSLSSMSMSSSNFFN.
% 10.38/1.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.38/1.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.38/1.78  # Starting new_bool_3 with 300s (1) cores
% 10.38/1.78  # Starting new_bool_1 with 300s (1) cores
% 10.38/1.78  # Starting sh5l with 300s (1) cores
% 10.38/1.78  # SinE strategy is gf500_gu_R04_F100_L20000
% 10.38/1.78  # Search class: FGHSF-FFMM21-MFFFFFNN
% 10.38/1.78  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 10.38/1.78  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 10.38/1.78  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 11693 completed with status 0
% 10.38/1.78  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 10.38/1.78  # Preprocessing class: FSLSSMSMSSSNFFN.
% 10.38/1.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.38/1.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.38/1.78  # Starting new_bool_3 with 300s (1) cores
% 10.38/1.78  # Starting new_bool_1 with 300s (1) cores
% 10.38/1.78  # Starting sh5l with 300s (1) cores
% 10.38/1.78  # SinE strategy is gf500_gu_R04_F100_L20000
% 10.38/1.78  # Search class: FGHSF-FFMM21-MFFFFFNN
% 10.38/1.78  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 10.38/1.78  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 10.38/1.78  # Preprocessing time       : 0.002 s
% 10.38/1.78  # Presaturation interreduction done
% 10.38/1.78  
% 10.38/1.78  # Proof found!
% 10.38/1.78  # SZS status Theorem
% 10.38/1.78  # SZS output start CNFRefutation
% See solution above
% 10.38/1.78  # Parsed axioms                        : 64
% 10.38/1.78  # Removed by relevancy pruning/SinE    : 0
% 10.38/1.78  # Initial clauses                      : 100
% 10.38/1.78  # Removed in clause preprocessing      : 5
% 10.38/1.78  # Initial clauses in saturation        : 95
% 10.38/1.78  # Processed clauses                    : 4848
% 10.38/1.78  # ...of these trivial                  : 330
% 10.38/1.78  # ...subsumed                          : 2178
% 10.38/1.78  # ...remaining for further processing  : 2340
% 10.38/1.78  # Other redundant clauses eliminated   : 3
% 10.38/1.78  # Clauses deleted for lack of memory   : 0
% 10.38/1.78  # Backward-subsumed                    : 155
% 10.38/1.78  # Backward-rewritten                   : 756
% 10.38/1.78  # Generated clauses                    : 86543
% 10.38/1.78  # ...of the previous two non-redundant : 80452
% 10.38/1.78  # ...aggressively subsumed             : 0
% 10.38/1.78  # Contextual simplify-reflections      : 122
% 10.38/1.78  # Paramodulations                      : 86529
% 10.38/1.78  # Factorizations                       : 0
% 10.38/1.78  # NegExts                              : 0
% 10.38/1.78  # Equation resolutions                 : 14
% 10.38/1.78  # Disequality decompositions           : 0
% 10.38/1.78  # Total rewrite steps                  : 156037
% 10.38/1.78  # ...of those cached                   : 155544
% 10.38/1.78  # Propositional unsat checks           : 0
% 10.38/1.78  #    Propositional check models        : 0
% 10.38/1.78  #    Propositional check unsatisfiable : 0
% 10.38/1.78  #    Propositional clauses             : 0
% 10.38/1.78  #    Propositional clauses after purity: 0
% 10.38/1.78  #    Propositional unsat core size     : 0
% 10.38/1.78  #    Propositional preprocessing time  : 0.000
% 10.38/1.78  #    Propositional encoding time       : 0.000
% 10.38/1.78  #    Propositional solver time         : 0.000
% 10.38/1.78  #    Success case prop preproc time    : 0.000
% 10.38/1.78  #    Success case prop encoding time   : 0.000
% 10.38/1.78  #    Success case prop solver time     : 0.000
% 10.38/1.78  # Current number of processed clauses  : 1331
% 10.38/1.78  #    Positive orientable unit clauses  : 392
% 10.38/1.78  #    Positive unorientable unit clauses: 0
% 10.38/1.78  #    Negative unit clauses             : 3
% 10.38/1.78  #    Non-unit-clauses                  : 936
% 10.38/1.78  # Current number of unprocessed clauses: 75571
% 10.38/1.78  # ...number of literals in the above   : 334393
% 10.38/1.78  # Current number of archived formulas  : 0
% 10.38/1.78  # Current number of archived clauses   : 1006
% 10.38/1.78  # Clause-clause subsumption calls (NU) : 206025
% 10.38/1.78  # Rec. Clause-clause subsumption calls : 103271
% 10.38/1.78  # Non-unit clause-clause subsumptions  : 2393
% 10.38/1.78  # Unit Clause-clause subsumption calls : 4160
% 10.38/1.78  # Rewrite failures with RHS unbound    : 0
% 10.38/1.78  # BW rewrite match attempts            : 104
% 10.38/1.78  # BW rewrite match successes           : 55
% 10.38/1.78  # Condensation attempts                : 0
% 10.38/1.78  # Condensation successes               : 0
% 10.38/1.78  # Termbank termtop insertions          : 2478085
% 10.38/1.78  # Search garbage collected termcells   : 876
% 10.38/1.78  
% 10.38/1.78  # -------------------------------------------------
% 10.38/1.78  # User time                : 1.211 s
% 10.38/1.78  # System time              : 0.056 s
% 10.38/1.78  # Total time               : 1.267 s
% 10.38/1.78  # Maximum resident set size: 2064 pages
% 10.38/1.78  
% 10.38/1.78  # -------------------------------------------------
% 10.38/1.78  # User time                : 1.214 s
% 10.38/1.78  # System time              : 0.058 s
% 10.38/1.78  # Total time               : 1.272 s
% 10.38/1.78  # Maximum resident set size: 1760 pages
% 10.38/1.78  % E---3.1 exiting
%------------------------------------------------------------------------------