TSTP Solution File: RNG048+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : RNG048+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 02:36:01 EDT 2024

% Result   : Theorem 3.33s 0.92s
% Output   : CNFRefutation 3.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   86 (  31 unt;   0 def)
%            Number of atoms       :  260 (  61 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  285 ( 111   ~; 112   |;  37   &)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   98 (   1 sgn  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mScPr,axiom,
    ! [X1,X2] :
      ( ( aVector0(X1)
        & aVector0(X2) )
     => ( aDimensionOf0(X1) = aDimensionOf0(X2)
       => aScalar0(sdtasasdt0(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).

fof(m__,conjecture,
    ! [X1] :
      ( aVector0(X1)
     => ( ! [X2] :
            ( aVector0(X2)
           => ( iLess0(aDimensionOf0(X2),aDimensionOf0(X1))
             => sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2)) ) )
       => sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

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

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

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

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

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

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(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(mMDNeg,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).

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(c_0_14,plain,
    ! [X30,X31] :
      ( ~ aVector0(X30)
      | ~ aVector0(X31)
      | aDimensionOf0(X30) != aDimensionOf0(X31)
      | aScalar0(sdtasasdt0(X30,X31)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScPr])])]) ).

fof(c_0_15,negated_conjecture,
    ~ ! [X1] :
        ( aVector0(X1)
       => ( ! [X2] :
              ( aVector0(X2)
             => ( iLess0(aDimensionOf0(X2),aDimensionOf0(X1))
               => sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2)) ) )
         => sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_16,plain,
    ! [X23,X24] :
      ( ~ aScalar0(X23)
      | ~ aScalar0(X24)
      | sdtlseqdt0(X23,X24)
      | sdtlseqdt0(X24,X23) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])])]) ).

cnf(c_0_17,plain,
    ( aScalar0(sdtasasdt0(X1,X2))
    | ~ aVector0(X1)
    | ~ aVector0(X2)
    | aDimensionOf0(X1) != aDimensionOf0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_18,negated_conjecture,
    ! [X6] :
      ( aVector0(esk1_0)
      & ( ~ aVector0(X6)
        | ~ iLess0(aDimensionOf0(X6),aDimensionOf0(esk1_0))
        | sdtlseqdt0(sz0z00,sdtasasdt0(X6,X6)) )
      & ~ sdtlseqdt0(sz0z00,sdtasasdt0(esk1_0,esk1_0)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).

cnf(c_0_19,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,plain,
    aScalar0(sz0z00),
    inference(split_conjunct,[status(thm)],[mSZeroSc]) ).

cnf(c_0_21,plain,
    ( aScalar0(sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    inference(er,[status(thm)],[c_0_17]) ).

cnf(c_0_22,negated_conjecture,
    aVector0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_23,plain,
    ! [X73] :
      ( ~ aScalar0(X73)
      | aScalar0(smndt0(X73)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])]) ).

fof(c_0_24,plain,
    ! [X15,X16,X17,X18] :
      ( ~ aScalar0(X15)
      | ~ aScalar0(X16)
      | ~ aScalar0(X17)
      | ~ aScalar0(X18)
      | ~ sdtlseqdt0(X15,X16)
      | ~ sdtlseqdt0(X17,X18)
      | sdtlseqdt0(sdtpldt0(X15,X17),sdtpldt0(X16,X18)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])])]) ).

cnf(c_0_25,plain,
    ( sdtlseqdt0(X1,sz0z00)
    | sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,negated_conjecture,
    aScalar0(sdtasasdt0(esk1_0,esk1_0)),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(esk1_0,esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_28,plain,
    ! [X9] :
      ( ~ aScalar0(X9)
      | sdtlseqdt0(X9,X9) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])])]) ).

cnf(c_0_29,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_30,plain,
    ! [X36] :
      ( ( sdtpldt0(X36,sz0z00) = X36
        | ~ aScalar0(X36) )
      & ( sdtpldt0(sz0z00,X36) = X36
        | ~ aScalar0(X36) )
      & ( sdtasdt0(X36,sz0z00) = sz0z00
        | ~ aScalar0(X36) )
      & ( sdtasdt0(sz0z00,X36) = sz0z00
        | ~ aScalar0(X36) )
      & ( sdtpldt0(X36,smndt0(X36)) = sz0z00
        | ~ aScalar0(X36) )
      & ( sdtpldt0(smndt0(X36),X36) = sz0z00
        | ~ aScalar0(X36) )
      & ( smndt0(smndt0(X36)) = X36
        | ~ aScalar0(X36) )
      & ( smndt0(sz0z00) = sz0z00
        | ~ aScalar0(X36) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])])]) ).

cnf(c_0_31,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_24]) ).

cnf(c_0_32,negated_conjecture,
    sdtlseqdt0(sdtasasdt0(esk1_0,esk1_0),sz0z00),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_33,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    aScalar0(smndt0(sdtasasdt0(esk1_0,esk1_0))),
    inference(spm,[status(thm)],[c_0_29,c_0_26]) ).

cnf(c_0_35,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_36,plain,
    ! [X19,X20,X21,X22] :
      ( ~ aScalar0(X19)
      | ~ aScalar0(X20)
      | ~ aScalar0(X21)
      | ~ aScalar0(X22)
      | ~ sdtlseqdt0(X19,X20)
      | ~ sdtlseqdt0(sz0z00,X21)
      | ~ sdtlseqdt0(X21,X22)
      | sdtlseqdt0(sdtasdt0(X19,X21),sdtasdt0(X20,X22)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])])]) ).

cnf(c_0_37,negated_conjecture,
    ( sdtlseqdt0(sdtpldt0(X1,sdtasasdt0(esk1_0,esk1_0)),sdtpldt0(X2,sz0z00))
    | ~ sdtlseqdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_20]),c_0_26])]) ).

cnf(c_0_38,negated_conjecture,
    sdtlseqdt0(smndt0(sdtasasdt0(esk1_0,esk1_0)),smndt0(sdtasasdt0(esk1_0,esk1_0))),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,negated_conjecture,
    sdtpldt0(smndt0(sdtasasdt0(esk1_0,esk1_0)),sdtasasdt0(esk1_0,esk1_0)) = sz0z00,
    inference(spm,[status(thm)],[c_0_35,c_0_26]) ).

cnf(c_0_40,plain,
    ( sdtpldt0(X1,sz0z00) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_41,plain,
    ! [X54,X55] :
      ( ~ aScalar0(X54)
      | ~ aScalar0(X55)
      | aScalar0(sdtasdt0(X54,X55)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])]) ).

fof(c_0_42,plain,
    ! [X66,X67] :
      ( ( sdtasdt0(X66,smndt0(X67)) = smndt0(sdtasdt0(X66,X67))
        | ~ aScalar0(X66)
        | ~ aScalar0(X67) )
      & ( sdtasdt0(smndt0(X66),X67) = smndt0(sdtasdt0(X66,X67))
        | ~ aScalar0(X66)
        | ~ aScalar0(X67) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])])]) ).

cnf(c_0_43,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_36]) ).

cnf(c_0_44,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_45,negated_conjecture,
    sdtlseqdt0(sz0z00,sdtpldt0(smndt0(sdtasasdt0(esk1_0,esk1_0)),sz0z00)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_34])]) ).

cnf(c_0_46,negated_conjecture,
    sdtpldt0(smndt0(sdtasasdt0(esk1_0,esk1_0)),sz0z00) = smndt0(sdtasasdt0(esk1_0,esk1_0)),
    inference(spm,[status(thm)],[c_0_40,c_0_34]) ).

cnf(c_0_47,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_48,plain,
    ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_49,negated_conjecture,
    ( sdtlseqdt0(sdtasdt0(sdtasasdt0(esk1_0,esk1_0),X1),sdtasdt0(sz0z00,X2))
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_32]),c_0_20]),c_0_26])]) ).

cnf(c_0_50,negated_conjecture,
    sdtasdt0(sz0z00,smndt0(sdtasasdt0(esk1_0,esk1_0))) = sz0z00,
    inference(spm,[status(thm)],[c_0_44,c_0_34]) ).

cnf(c_0_51,negated_conjecture,
    sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(esk1_0,esk1_0))),
    inference(rw,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_52,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(spm,[status(thm)],[c_0_33,c_0_20]) ).

cnf(c_0_53,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_54,negated_conjecture,
    ( aScalar0(sdtasdt0(sdtasasdt0(esk1_0,esk1_0),X1))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_26]) ).

cnf(c_0_55,negated_conjecture,
    ( smndt0(sdtasdt0(sdtasasdt0(esk1_0,esk1_0),X1)) = sdtasdt0(sdtasasdt0(esk1_0,esk1_0),smndt0(X1))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_26]) ).

fof(c_0_56,plain,
    ! [X10,X11] :
      ( ~ aScalar0(X10)
      | ~ aScalar0(X11)
      | ~ sdtlseqdt0(X10,X11)
      | ~ sdtlseqdt0(X11,X10)
      | X10 = X11 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])])]) ).

cnf(c_0_57,negated_conjecture,
    ( sdtlseqdt0(sdtasdt0(sdtasasdt0(esk1_0,esk1_0),smndt0(sdtasasdt0(esk1_0,esk1_0))),sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(esk1_0,esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_38]),c_0_50]),c_0_34])]) ).

cnf(c_0_58,negated_conjecture,
    ( sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,smndt0(sdtasasdt0(esk1_0,esk1_0))))
    | ~ sdtlseqdt0(X1,X2)
    | ~ 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_43,c_0_51]),c_0_52]),c_0_34]),c_0_20])]) ).

cnf(c_0_59,negated_conjecture,
    sdtlseqdt0(sdtasasdt0(esk1_0,esk1_0),sdtasasdt0(esk1_0,esk1_0)),
    inference(spm,[status(thm)],[c_0_33,c_0_26]) ).

cnf(c_0_60,negated_conjecture,
    sdtasdt0(sdtasasdt0(esk1_0,esk1_0),sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_53,c_0_26]) ).

fof(c_0_61,plain,
    ! [X68,X69] :
      ( ~ aScalar0(X68)
      | ~ aScalar0(X69)
      | sdtasdt0(smndt0(X68),smndt0(X69)) = sdtasdt0(X68,X69) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])])]) ).

cnf(c_0_62,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_63,negated_conjecture,
    aScalar0(sdtasdt0(sdtasasdt0(esk1_0,esk1_0),sdtasasdt0(esk1_0,esk1_0))),
    inference(spm,[status(thm)],[c_0_54,c_0_26]) ).

cnf(c_0_64,negated_conjecture,
    smndt0(sdtasdt0(sdtasasdt0(esk1_0,esk1_0),sdtasasdt0(esk1_0,esk1_0))) = sdtasdt0(sdtasasdt0(esk1_0,esk1_0),smndt0(sdtasasdt0(esk1_0,esk1_0))),
    inference(spm,[status(thm)],[c_0_55,c_0_26]) ).

cnf(c_0_65,plain,
    ( X1 = X2
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_66,negated_conjecture,
    sdtlseqdt0(sdtasdt0(sdtasasdt0(esk1_0,esk1_0),smndt0(sdtasasdt0(esk1_0,esk1_0))),sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_51])]) ).

cnf(c_0_67,negated_conjecture,
    sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk1_0,esk1_0),smndt0(sdtasasdt0(esk1_0,esk1_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_26])]) ).

cnf(c_0_68,negated_conjecture,
    aScalar0(sdtasdt0(sdtasasdt0(esk1_0,esk1_0),smndt0(sdtasasdt0(esk1_0,esk1_0)))),
    inference(spm,[status(thm)],[c_0_54,c_0_34]) ).

cnf(c_0_69,plain,
    ( smndt0(sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_70,plain,
    ! [X28,X29] :
      ( ~ aScalar0(X28)
      | ~ aScalar0(X29)
      | ~ sdtlseqdt0(sz0z00,X28)
      | ~ sdtlseqdt0(sz0z00,X29)
      | sdtasdt0(X28,X28) != sdtasdt0(X29,X29)
      | X28 = X29 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])])]) ).

cnf(c_0_71,plain,
    ( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_72,negated_conjecture,
    smndt0(sdtasdt0(sdtasasdt0(esk1_0,esk1_0),smndt0(sdtasasdt0(esk1_0,esk1_0)))) = sdtasdt0(sdtasasdt0(esk1_0,esk1_0),sdtasasdt0(esk1_0,esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).

cnf(c_0_73,negated_conjecture,
    sdtasdt0(sdtasasdt0(esk1_0,esk1_0),smndt0(sdtasasdt0(esk1_0,esk1_0))) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_20])]),c_0_67]),c_0_68])]) ).

cnf(c_0_74,plain,
    smndt0(sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_69,c_0_20]) ).

cnf(c_0_75,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_70]) ).

cnf(c_0_76,plain,
    sdtasdt0(sz0z00,sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_53,c_0_20]) ).

cnf(c_0_77,negated_conjecture,
    ( sdtasdt0(smndt0(sdtasasdt0(esk1_0,esk1_0)),smndt0(X1)) = sdtasdt0(sdtasasdt0(esk1_0,esk1_0),X1)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_26]) ).

cnf(c_0_78,negated_conjecture,
    sdtasdt0(sdtasasdt0(esk1_0,esk1_0),sdtasasdt0(esk1_0,esk1_0)) = sz0z00,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).

cnf(c_0_79,plain,
    ( sz0z00 = X1
    | 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_75,c_0_52]),c_0_20])]),c_0_76]) ).

cnf(c_0_80,negated_conjecture,
    sdtasdt0(smndt0(sdtasasdt0(esk1_0,esk1_0)),smndt0(sdtasasdt0(esk1_0,esk1_0))) = sz0z00,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_26]),c_0_78]) ).

cnf(c_0_81,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_82,negated_conjecture,
    smndt0(sdtasasdt0(esk1_0,esk1_0)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_51]),c_0_34])]) ).

cnf(c_0_83,negated_conjecture,
    sdtpldt0(sz0z00,sdtasasdt0(esk1_0,esk1_0)) = sdtasasdt0(esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_81,c_0_26]) ).

cnf(c_0_84,negated_conjecture,
    sdtasasdt0(esk1_0,esk1_0) = sz0z00,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_82]),c_0_83]) ).

cnf(c_0_85,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_84]),c_0_52])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : RNG048+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 12:27:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.23/0.49  Running first-order theorem proving
% 0.23/0.49  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.33/0.92  # Version: 3.1.0
% 3.33/0.92  # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.33/0.92  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.33/0.92  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.33/0.92  # Starting new_bool_3 with 300s (1) cores
% 3.33/0.92  # Starting new_bool_1 with 300s (1) cores
% 3.33/0.92  # Starting sh5l with 300s (1) cores
% 3.33/0.92  # sh5l with pid 23040 completed with status 0
% 3.33/0.92  # Result found by sh5l
% 3.33/0.92  # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.33/0.92  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.33/0.92  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.33/0.92  # Starting new_bool_3 with 300s (1) cores
% 3.33/0.92  # Starting new_bool_1 with 300s (1) cores
% 3.33/0.92  # Starting sh5l with 300s (1) cores
% 3.33/0.92  # SinE strategy is gf500_gu_R04_F100_L20000
% 3.33/0.92  # Search class: FGHSF-FFMS21-MFFFFFNN
% 3.33/0.92  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.33/0.92  # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 181s (1) cores
% 3.33/0.92  # G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 23048 completed with status 0
% 3.33/0.92  # Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 3.33/0.92  # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.33/0.92  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.33/0.92  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.33/0.92  # Starting new_bool_3 with 300s (1) cores
% 3.33/0.92  # Starting new_bool_1 with 300s (1) cores
% 3.33/0.92  # Starting sh5l with 300s (1) cores
% 3.33/0.92  # SinE strategy is gf500_gu_R04_F100_L20000
% 3.33/0.92  # Search class: FGHSF-FFMS21-MFFFFFNN
% 3.33/0.92  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.33/0.92  # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 181s (1) cores
% 3.33/0.92  # Preprocessing time       : 0.002 s
% 3.33/0.92  
% 3.33/0.92  # Proof found!
% 3.33/0.92  # SZS status Theorem
% 3.33/0.92  # SZS output start CNFRefutation
% See solution above
% 3.33/0.92  # Parsed axioms                        : 37
% 3.33/0.92  # Removed by relevancy pruning/SinE    : 0
% 3.33/0.92  # Initial clauses                      : 58
% 3.33/0.92  # Removed in clause preprocessing      : 5
% 3.33/0.92  # Initial clauses in saturation        : 53
% 3.33/0.92  # Processed clauses                    : 1437
% 3.33/0.92  # ...of these trivial                  : 149
% 3.33/0.92  # ...subsumed                          : 354
% 3.33/0.92  # ...remaining for further processing  : 934
% 3.33/0.92  # Other redundant clauses eliminated   : 0
% 3.33/0.92  # Clauses deleted for lack of memory   : 0
% 3.33/0.92  # Backward-subsumed                    : 4
% 3.33/0.92  # Backward-rewritten                   : 334
% 3.33/0.92  # Generated clauses                    : 23372
% 3.33/0.92  # ...of the previous two non-redundant : 22157
% 3.33/0.92  # ...aggressively subsumed             : 0
% 3.33/0.92  # Contextual simplify-reflections      : 14
% 3.33/0.92  # Paramodulations                      : 23358
% 3.33/0.92  # Factorizations                       : 0
% 3.33/0.92  # NegExts                              : 0
% 3.33/0.92  # Equation resolutions                 : 14
% 3.33/0.92  # Disequality decompositions           : 0
% 3.33/0.92  # Total rewrite steps                  : 18825
% 3.33/0.92  # ...of those cached                   : 18588
% 3.33/0.92  # Propositional unsat checks           : 0
% 3.33/0.92  #    Propositional check models        : 0
% 3.33/0.92  #    Propositional check unsatisfiable : 0
% 3.33/0.92  #    Propositional clauses             : 0
% 3.33/0.92  #    Propositional clauses after purity: 0
% 3.33/0.92  #    Propositional unsat core size     : 0
% 3.33/0.92  #    Propositional preprocessing time  : 0.000
% 3.33/0.92  #    Propositional encoding time       : 0.000
% 3.33/0.92  #    Propositional solver time         : 0.000
% 3.33/0.92  #    Success case prop preproc time    : 0.000
% 3.33/0.92  #    Success case prop encoding time   : 0.000
% 3.33/0.92  #    Success case prop solver time     : 0.000
% 3.33/0.92  # Current number of processed clauses  : 596
% 3.33/0.92  #    Positive orientable unit clauses  : 211
% 3.33/0.92  #    Positive unorientable unit clauses: 0
% 3.33/0.92  #    Negative unit clauses             : 0
% 3.33/0.92  #    Non-unit-clauses                  : 385
% 3.33/0.92  # Current number of unprocessed clauses: 20581
% 3.33/0.92  # ...number of literals in the above   : 46591
% 3.33/0.92  # Current number of archived formulas  : 0
% 3.33/0.92  # Current number of archived clauses   : 338
% 3.33/0.92  # Clause-clause subsumption calls (NU) : 31754
% 3.33/0.92  # Rec. Clause-clause subsumption calls : 17877
% 3.33/0.92  # Non-unit clause-clause subsumptions  : 320
% 3.33/0.92  # Unit Clause-clause subsumption calls : 4406
% 3.33/0.92  # Rewrite failures with RHS unbound    : 0
% 3.33/0.92  # BW rewrite match attempts            : 178
% 3.33/0.92  # BW rewrite match successes           : 36
% 3.33/0.92  # Condensation attempts                : 0
% 3.33/0.92  # Condensation successes               : 0
% 3.33/0.92  # Termbank termtop insertions          : 765617
% 3.33/0.92  # Search garbage collected termcells   : 934
% 3.33/0.92  
% 3.33/0.92  # -------------------------------------------------
% 3.33/0.92  # User time                : 0.395 s
% 3.33/0.92  # System time              : 0.016 s
% 3.33/0.92  # Total time               : 0.411 s
% 3.33/0.92  # Maximum resident set size: 1880 pages
% 3.33/0.92  
% 3.33/0.92  # -------------------------------------------------
% 3.33/0.92  # User time                : 0.397 s
% 3.33/0.92  # System time              : 0.018 s
% 3.33/0.92  # Total time               : 0.415 s
% 3.33/0.92  # Maximum resident set size: 1732 pages
% 3.33/0.92  % E---3.1 exiting
% 3.33/0.92  % E exiting
%------------------------------------------------------------------------------