TSTP Solution File: NUM511+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM511+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 09:33:14 EDT 2022

% Result   : Theorem 0.57s 48.76s
% Output   : CNFRefutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   74 (  33 unt;   0 def)
%            Number of atoms       :  238 (  78 equ)
%            Maximal formula atoms :   32 (   3 avg)
%            Number of connectives :  278 ( 114   ~; 123   |;  28   &)
%                                         (   3 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   69 (   1 sgn  30   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mDefQuot,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( X1 != sz00
          & doDivides0(X1,X2) )
       => ! [X3] :
            ( X3 = sdtsldt0(X2,X1)
          <=> ( aNaturalNumber0(X3)
              & X2 = sdtasdt0(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefQuot) ).

fof(mDefPrime,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( isPrime0(X1)
      <=> ( X1 != sz00
          & X1 != sz10
          & ! [X2] :
              ( ( aNaturalNumber0(X2)
                & doDivides0(X2,X1) )
             => ( X2 = sz10
                | X2 = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefPrime) ).

fof(mSortsB_02,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => aNaturalNumber0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSortsB_02) ).

fof(mMulComm,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mMulComm) ).

fof(mDefDiv,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( doDivides0(X1,X2)
      <=> ? [X3] :
            ( aNaturalNumber0(X3)
            & X2 = sdtasdt0(X1,X3) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefDiv) ).

fof(m__1860,hypothesis,
    ( isPrime0(xp)
    & doDivides0(xp,sdtasdt0(xn,xm)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1860) ).

fof(m__1837,hypothesis,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xp) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1837) ).

fof(mDivAsso,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( X1 != sz00
          & doDivides0(X1,X2) )
       => ! [X3] :
            ( aNaturalNumber0(X3)
           => sdtasdt0(X3,sdtsldt0(X2,X1)) = sdtsldt0(sdtasdt0(X3,X2),X1) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDivAsso) ).

fof(m__2342,hypothesis,
    ( aNaturalNumber0(xr)
    & doDivides0(xr,xk)
    & isPrime0(xr) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__2342) ).

fof(m__2487,hypothesis,
    doDivides0(xr,xn),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__2487) ).

fof(m__2306,hypothesis,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__2306) ).

fof(m__2362,hypothesis,
    ( sdtlseqdt0(xr,xk)
    & doDivides0(xr,sdtasdt0(xn,xm)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__2362) ).

fof(m__,conjecture,
    doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).

fof(c_0_13,plain,
    ! [X4,X5,X6,X6] :
      ( ( aNaturalNumber0(X6)
        | X6 != sdtsldt0(X5,X4)
        | X4 = sz00
        | ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( X5 = sdtasdt0(X4,X6)
        | X6 != sdtsldt0(X5,X4)
        | X4 = sz00
        | ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( ~ aNaturalNumber0(X6)
        | X5 != sdtasdt0(X4,X6)
        | X6 = sdtsldt0(X5,X4)
        | X4 = sz00
        | ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])])])]) ).

fof(c_0_14,plain,
    ! [X3,X4] :
      ( ( X3 != sz00
        | ~ isPrime0(X3)
        | ~ aNaturalNumber0(X3) )
      & ( X3 != sz10
        | ~ isPrime0(X3)
        | ~ aNaturalNumber0(X3) )
      & ( ~ aNaturalNumber0(X4)
        | ~ doDivides0(X4,X3)
        | X4 = sz10
        | X4 = X3
        | ~ isPrime0(X3)
        | ~ aNaturalNumber0(X3) )
      & ( aNaturalNumber0(esk3_1(X3))
        | X3 = sz00
        | X3 = sz10
        | isPrime0(X3)
        | ~ aNaturalNumber0(X3) )
      & ( doDivides0(esk3_1(X3),X3)
        | X3 = sz00
        | X3 = sz10
        | isPrime0(X3)
        | ~ aNaturalNumber0(X3) )
      & ( esk3_1(X3) != sz10
        | X3 = sz00
        | X3 = sz10
        | isPrime0(X3)
        | ~ aNaturalNumber0(X3) )
      & ( esk3_1(X3) != X3
        | X3 = sz00
        | X3 = sz10
        | isPrime0(X3)
        | ~ aNaturalNumber0(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefPrime])])])])])])]) ).

fof(c_0_15,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | aNaturalNumber0(sdtasdt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).

fof(c_0_16,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).

fof(c_0_17,plain,
    ! [X4,X5,X7] :
      ( ( aNaturalNumber0(esk2_2(X4,X5))
        | ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( X5 = sdtasdt0(X4,esk2_2(X4,X5))
        | ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( ~ aNaturalNumber0(X7)
        | X5 != sdtasdt0(X4,X7)
        | doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])])])]) ).

cnf(c_0_18,plain,
    ( X2 = sz00
    | aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1)
    | X3 != sdtsldt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ isPrime0(X1)
    | X1 != sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,hypothesis,
    isPrime0(xp),
    inference(split_conjunct,[status(thm)],[m__1860]) ).

cnf(c_0_21,hypothesis,
    aNaturalNumber0(xp),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_22,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

fof(c_0_24,plain,
    ! [X4,X5,X6] :
      ( ~ aNaturalNumber0(X4)
      | ~ aNaturalNumber0(X5)
      | X4 = sz00
      | ~ doDivides0(X4,X5)
      | ~ aNaturalNumber0(X6)
      | sdtasdt0(X6,sdtsldt0(X5,X4)) = sdtsldt0(sdtasdt0(X6,X5),X4) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivAsso])])])])]) ).

cnf(c_0_25,hypothesis,
    isPrime0(xr),
    inference(split_conjunct,[status(thm)],[m__2342]) ).

cnf(c_0_26,hypothesis,
    aNaturalNumber0(xr),
    inference(split_conjunct,[status(thm)],[m__2342]) ).

cnf(c_0_27,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_28,plain,
    ( X1 = sdtasdt0(X2,esk2_2(X2,X1))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_29,hypothesis,
    doDivides0(xr,xn),
    inference(split_conjunct,[status(thm)],[m__2487]) ).

cnf(c_0_30,hypothesis,
    aNaturalNumber0(xn),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_31,plain,
    ( aNaturalNumber0(esk2_2(X2,X1))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_32,plain,
    ( X1 = sz00
    | aNaturalNumber0(sdtsldt0(X2,X1))
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(er,[status(thm)],[c_0_18]) ).

cnf(c_0_33,hypothesis,
    doDivides0(xp,sdtasdt0(xn,xm)),
    inference(split_conjunct,[status(thm)],[m__1860]) ).

cnf(c_0_34,hypothesis,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    inference(split_conjunct,[status(thm)],[m__2306]) ).

cnf(c_0_35,hypothesis,
    sz00 != xp,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_36,hypothesis,
    ( aNaturalNumber0(sdtasdt0(X1,xm))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_37,plain,
    ( X2 = sz00
    | X1 = sdtasdt0(X2,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1)
    | X3 != sdtsldt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_38,plain,
    ( sdtasdt0(X1,sdtsldt0(X2,X3)) = sdtsldt0(sdtasdt0(X1,X2),X3)
    | X3 = sz00
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X3,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_39,hypothesis,
    sz00 != xr,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_25]),c_0_26])]) ).

cnf(c_0_40,hypothesis,
    ( sdtasdt0(X1,xm) = sdtasdt0(xm,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_23]) ).

cnf(c_0_41,plain,
    ( doDivides0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | X1 != sdtasdt0(X2,X3)
    | ~ aNaturalNumber0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_42,hypothesis,
    sdtasdt0(xr,esk2_2(xr,xn)) = xn,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_26]),c_0_30])]) ).

cnf(c_0_43,hypothesis,
    aNaturalNumber0(esk2_2(xr,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_29]),c_0_26]),c_0_30])]) ).

cnf(c_0_44,hypothesis,
    doDivides0(xr,xk),
    inference(split_conjunct,[status(thm)],[m__2342]) ).

cnf(c_0_45,hypothesis,
    ( aNaturalNumber0(xk)
    | ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(sr,[status(thm)],[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_21])]),c_0_35]) ).

cnf(c_0_46,hypothesis,
    aNaturalNumber0(sdtasdt0(xn,xm)),
    inference(spm,[status(thm)],[c_0_36,c_0_30]) ).

cnf(c_0_47,plain,
    ( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
    | X1 = sz00
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(er,[status(thm)],[c_0_37]) ).

cnf(c_0_48,hypothesis,
    ( sdtsldt0(sdtasdt0(X1,xn),xr) = sdtasdt0(X1,sdtsldt0(xn,xr))
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_29]),c_0_26]),c_0_30])]),c_0_39]) ).

cnf(c_0_49,hypothesis,
    sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
    inference(spm,[status(thm)],[c_0_40,c_0_30]) ).

cnf(c_0_50,plain,
    ( X2 = sz00
    | X3 = sdtsldt0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1)
    | X1 != sdtasdt0(X2,X3)
    | ~ aNaturalNumber0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_51,hypothesis,
    ( doDivides0(xr,X1)
    | X1 != xn
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_26])]),c_0_43])]) ).

cnf(c_0_52,hypothesis,
    ( sdtsldt0(sdtasdt0(X1,xk),xr) = sdtasdt0(X1,sdtsldt0(xk,xr))
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_44]),c_0_26])]),c_0_39]) ).

cnf(c_0_53,hypothesis,
    aNaturalNumber0(xk),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).

cnf(c_0_54,hypothesis,
    ( sdtasdt0(xp,xk) = sdtasdt0(xn,xm)
    | ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_33]),c_0_34]),c_0_21])]),c_0_35]) ).

cnf(c_0_55,hypothesis,
    sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xm,sdtsldt0(xn,xr)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_23]),c_0_49]) ).

cnf(c_0_56,hypothesis,
    doDivides0(xr,sdtasdt0(xn,xm)),
    inference(split_conjunct,[status(thm)],[m__2362]) ).

fof(c_0_57,negated_conjecture,
    ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_58,hypothesis,
    ( esk2_2(xr,xn) = sdtsldt0(X1,xr)
    | X1 != xn
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_42]),c_0_26])]),c_0_43])]),c_0_39]),c_0_51]) ).

cnf(c_0_59,hypothesis,
    ( sdtsldt0(sdtasdt0(X1,xk),xr) = sdtasdt0(X1,sdtsldt0(xk,xr))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).

cnf(c_0_60,hypothesis,
    sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_46])]) ).

cnf(c_0_61,hypothesis,
    ( aNaturalNumber0(sdtsldt0(xk,xr))
    | ~ aNaturalNumber0(xk) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_44]),c_0_26])]),c_0_39]) ).

cnf(c_0_62,hypothesis,
    ( aNaturalNumber0(X1)
    | X1 != sdtasdt0(xm,sdtsldt0(xn,xr))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_55]),c_0_56]),c_0_26])]),c_0_39]) ).

fof(c_0_63,negated_conjecture,
    ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

cnf(c_0_64,hypothesis,
    sdtasdt0(esk2_2(xr,xn),xm) = sdtasdt0(xm,esk2_2(xr,xn)),
    inference(spm,[status(thm)],[c_0_40,c_0_43]) ).

cnf(c_0_65,hypothesis,
    esk2_2(xr,xn) = sdtsldt0(xn,xr),
    inference(spm,[status(thm)],[c_0_58,c_0_30]) ).

cnf(c_0_66,hypothesis,
    sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(xm,sdtsldt0(xn,xr)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_21]),c_0_60]),c_0_55]) ).

cnf(c_0_67,hypothesis,
    aNaturalNumber0(sdtsldt0(xk,xr)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_53])]) ).

cnf(c_0_68,hypothesis,
    ( aNaturalNumber0(X1)
    | X1 != sdtasdt0(xm,sdtsldt0(xn,xr)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_46])]) ).

cnf(c_0_69,negated_conjecture,
    ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_70,hypothesis,
    sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xm,sdtsldt0(xn,xr)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65]),c_0_65]) ).

cnf(c_0_71,hypothesis,
    ( doDivides0(xp,X1)
    | X1 != sdtasdt0(xm,sdtsldt0(xn,xr)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_66]),c_0_67]),c_0_21])]),c_0_68]) ).

cnf(c_0_72,negated_conjecture,
    ~ doDivides0(xp,sdtasdt0(xm,sdtsldt0(xn,xr))),
    inference(rw,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_71]),c_0_72]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM511+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n018.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  : 600
% 0.13/0.34  % DateTime : Wed Jul  6 11:38:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.39/23.41  eprover: CPU time limit exceeded, terminating
% 0.39/23.41  eprover: CPU time limit exceeded, terminating
% 0.39/23.42  eprover: CPU time limit exceeded, terminating
% 0.39/23.42  eprover: CPU time limit exceeded, terminating
% 0.57/46.42  eprover: CPU time limit exceeded, terminating
% 0.57/46.43  eprover: CPU time limit exceeded, terminating
% 0.57/46.43  eprover: CPU time limit exceeded, terminating
% 0.57/46.44  eprover: CPU time limit exceeded, terminating
% 0.57/48.76  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.57/48.76  
% 0.57/48.76  # Failure: Resource limit exceeded (time)
% 0.57/48.76  # OLD status Res
% 0.57/48.76  # Preprocessing time       : 0.019 s
% 0.57/48.76  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.57/48.76  
% 0.57/48.76  # Failure: Resource limit exceeded (time)
% 0.57/48.76  # OLD status Res
% 0.57/48.76  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.57/48.76  # Preprocessing time       : 0.010 s
% 0.57/48.76  # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.57/48.76  # Preprocessing time       : 0.010 s
% 0.57/48.76  
% 0.57/48.76  # Proof found!
% 0.57/48.76  # SZS status Theorem
% 0.57/48.76  # SZS output start CNFRefutation
% See solution above
% 0.57/48.76  # Proof object total steps             : 74
% 0.57/48.76  # Proof object clause steps            : 53
% 0.57/48.76  # Proof object formula steps           : 21
% 0.57/48.76  # Proof object conjectures             : 5
% 0.57/48.76  # Proof object clause conjectures      : 2
% 0.57/48.76  # Proof object formula conjectures     : 3
% 0.57/48.76  # Proof object initial clauses used    : 22
% 0.57/48.76  # Proof object initial formulas used   : 13
% 0.57/48.76  # Proof object generating inferences   : 24
% 0.57/48.76  # Proof object simplifying inferences  : 63
% 0.57/48.76  # Training examples: 0 positive, 0 negative
% 0.57/48.76  # Parsed axioms                        : 54
% 0.57/48.76  # Removed by relevancy pruning/SinE    : 0
% 0.57/48.76  # Initial clauses                      : 99
% 0.57/48.76  # Removed in clause preprocessing      : 3
% 0.57/48.76  # Initial clauses in saturation        : 96
% 0.57/48.76  # Processed clauses                    : 8234
% 0.57/48.76  # ...of these trivial                  : 326
% 0.57/48.76  # ...subsumed                          : 1831
% 0.57/48.76  # ...remaining for further processing  : 6077
% 0.57/48.76  # Other redundant clauses eliminated   : 1
% 0.57/48.76  # Clauses deleted for lack of memory   : 0
% 0.57/48.76  # Backward-subsumed                    : 40
% 0.57/48.76  # Backward-rewritten                   : 906
% 0.57/48.76  # Generated clauses                    : 138731
% 0.57/48.76  # ...of the previous two non-trivial   : 134904
% 0.57/48.76  # Contextual simplify-reflections      : 617
% 0.57/48.76  # Paramodulations                      : 138496
% 0.57/48.76  # Factorizations                       : 0
% 0.57/48.76  # Equation resolutions                 : 235
% 0.57/48.76  # Current number of processed clauses  : 5130
% 0.57/48.76  #    Positive orientable unit clauses  : 1322
% 0.57/48.76  #    Positive unorientable unit clauses: 0
% 0.57/48.76  #    Negative unit clauses             : 312
% 0.57/48.76  #    Non-unit-clauses                  : 3496
% 0.57/48.76  # Current number of unprocessed clauses: 116641
% 0.57/48.76  # ...number of literals in the above   : 407457
% 0.57/48.76  # Current number of archived formulas  : 0
% 0.57/48.76  # Current number of archived clauses   : 946
% 0.57/48.76  # Clause-clause subsumption calls (NU) : 905767
% 0.57/48.76  # Rec. Clause-clause subsumption calls : 661181
% 0.57/48.76  # Non-unit clause-clause subsumptions  : 1995
% 0.57/48.76  # Unit Clause-clause subsumption calls : 97796
% 0.57/48.76  # Rewrite failures with RHS unbound    : 0
% 0.57/48.76  # BW rewrite match attempts            : 1901
% 0.57/48.76  # BW rewrite match successes           : 186
% 0.57/48.76  # Condensation attempts                : 0
% 0.57/48.76  # Condensation successes               : 0
% 0.57/48.76  # Termbank termtop insertions          : 3055403
% 0.57/48.76  
% 0.57/48.76  # -------------------------------------------------
% 0.57/48.76  # User time                : 1.364 s
% 0.57/48.76  # System time              : 0.052 s
% 0.57/48.76  # Total time               : 1.416 s
% 0.57/48.76  # Maximum resident set size: 112372 pages
% 0.57/69.45  eprover: CPU time limit exceeded, terminating
% 0.57/69.45  eprover: CPU time limit exceeded, terminating
% 0.57/69.46  eprover: CPU time limit exceeded, terminating
% 0.57/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.46  eprover: No such file or directory
% 0.57/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.47  eprover: No such file or directory
% 0.57/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.47  eprover: No such file or directory
% 0.57/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.47  eprover: No such file or directory
% 0.57/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.47  eprover: No such file or directory
% 0.57/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.47  eprover: No such file or directory
% 0.57/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.48  eprover: No such file or directory
% 0.57/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.48  eprover: No such file or directory
% 0.57/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.48  eprover: No such file or directory
% 0.57/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.48  eprover: No such file or directory
% 0.57/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.48  eprover: No such file or directory
% 0.57/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.48  eprover: No such file or directory
% 0.57/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.49  eprover: No such file or directory
% 0.57/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.49  eprover: No such file or directory
% 0.57/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.49  eprover: No such file or directory
% 0.57/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.49  eprover: No such file or directory
% 0.57/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.49  eprover: No such file or directory
% 0.57/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.49  eprover: No such file or directory
% 0.57/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.49  eprover: No such file or directory
% 0.57/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.50  eprover: No such file or directory
% 0.57/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.50  eprover: No such file or directory
% 0.57/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.50  eprover: No such file or directory
% 0.57/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.50  eprover: No such file or directory
% 0.57/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.50  eprover: No such file or directory
% 0.57/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.50  eprover: No such file or directory
% 0.57/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.51  eprover: No such file or directory
% 0.57/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.51  eprover: No such file or directory
%------------------------------------------------------------------------------