TSTP Solution File: NUM513+3 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : NUM513+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:56:07 EDT 2023

% Result   : Theorem 0.17s 0.72s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   62 (  26 unt;   0 def)
%            Number of atoms       :  223 (  93 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  239 (  78   ~;  73   |;  72   &)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-2 aty)
%            Number of variables   :   54 (   0 sgn;  28   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mDefDiv,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( doDivides0(X1,X2)
      <=> ? [X3] :
            ( aNaturalNumber0(X3)
            & X2 = sdtasdt0(X1,X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p',mDefDiv) ).

fof(mSortsB_02,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => aNaturalNumber0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p',mSortsB_02) ).

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/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p',mDefQuot) ).

fof(mMulComm,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p',mMulComm) ).

fof(m__2504,hypothesis,
    ( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
          & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
       => sdtsldt0(xn,xr) = xn )
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtpldt0(sdtsldt0(xn,xr),X1) = xn )
    & sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
    file('/export/starexec/sandbox/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p',m__2504) ).

fof(m__2342,hypothesis,
    ( aNaturalNumber0(xr)
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & xk = sdtasdt0(xr,X1) )
    & doDivides0(xr,xk)
    & xr != sz00
    & xr != sz10
    & ! [X1] :
        ( ( aNaturalNumber0(X1)
          & ( ? [X2] :
                ( aNaturalNumber0(X2)
                & xr = sdtasdt0(X1,X2) )
            | doDivides0(X1,xr) ) )
       => ( X1 = sz10
          | X1 = xr ) )
    & isPrime0(xr) ),
    file('/export/starexec/sandbox/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p',m__2342) ).

fof(m__,conjecture,
    ( ( aNaturalNumber0(sdtsldt0(xk,xr))
      & xk = sdtasdt0(xr,sdtsldt0(xk,xr)) )
   => ( ( aNaturalNumber0(sdtsldt0(xn,xr))
        & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
     => sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p',m__) ).

fof(m__2576,hypothesis,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm)
    & aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
    & sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr))
    & sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ),
    file('/export/starexec/sandbox/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p',m__2576) ).

fof(m__1837,hypothesis,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xp) ),
    file('/export/starexec/sandbox/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p',m__1837) ).

fof(m__2487,hypothesis,
    ( ? [X1] :
        ( aNaturalNumber0(X1)
        & xn = sdtasdt0(xr,X1) )
    & doDivides0(xr,xn) ),
    file('/export/starexec/sandbox/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p',m__2487) ).

fof(m__2362,hypothesis,
    ( ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtpldt0(xr,X1) = xk )
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtasdt0(xn,xm) = sdtasdt0(xr,X1) )
    & doDivides0(xr,sdtasdt0(xn,xm)) ),
    file('/export/starexec/sandbox/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p',m__2362) ).

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/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p',mDivAsso) ).

fof(m__2306,hypothesis,
    ( aNaturalNumber0(xk)
    & sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    & xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
    file('/export/starexec/sandbox/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p',m__2306) ).

fof(c_0_13,plain,
    ! [X62,X63,X65] :
      ( ( aNaturalNumber0(esk2_2(X62,X63))
        | ~ doDivides0(X62,X63)
        | ~ aNaturalNumber0(X62)
        | ~ aNaturalNumber0(X63) )
      & ( X63 = sdtasdt0(X62,esk2_2(X62,X63))
        | ~ doDivides0(X62,X63)
        | ~ aNaturalNumber0(X62)
        | ~ aNaturalNumber0(X63) )
      & ( ~ aNaturalNumber0(X65)
        | X63 != sdtasdt0(X62,X65)
        | doDivides0(X62,X63)
        | ~ aNaturalNumber0(X62)
        | ~ aNaturalNumber0(X63) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])]) ).

fof(c_0_14,plain,
    ! [X8,X9] :
      ( ~ aNaturalNumber0(X8)
      | ~ aNaturalNumber0(X9)
      | aNaturalNumber0(sdtasdt0(X8,X9)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).

fof(c_0_15,plain,
    ! [X66,X67,X68] :
      ( ( aNaturalNumber0(X68)
        | X68 != sdtsldt0(X67,X66)
        | X66 = sz00
        | ~ doDivides0(X66,X67)
        | ~ aNaturalNumber0(X66)
        | ~ aNaturalNumber0(X67) )
      & ( X67 = sdtasdt0(X66,X68)
        | X68 != sdtsldt0(X67,X66)
        | X66 = sz00
        | ~ doDivides0(X66,X67)
        | ~ aNaturalNumber0(X66)
        | ~ aNaturalNumber0(X67) )
      & ( ~ aNaturalNumber0(X68)
        | X67 != sdtasdt0(X66,X68)
        | X68 = sdtsldt0(X67,X66)
        | X66 = sz00
        | ~ doDivides0(X66,X67)
        | ~ aNaturalNumber0(X66)
        | ~ aNaturalNumber0(X67) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).

cnf(c_0_16,plain,
    ( doDivides0(X3,X2)
    | ~ aNaturalNumber0(X1)
    | X2 != sdtasdt0(X3,X1)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_18,plain,
    ! [X16,X17] :
      ( ~ aNaturalNumber0(X16)
      | ~ aNaturalNumber0(X17)
      | sdtasdt0(X16,X17) = sdtasdt0(X17,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).

fof(c_0_19,hypothesis,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & sdtsldt0(xn,xr) != xn
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(esk19_0)
    & sdtpldt0(sdtsldt0(xn,xr),esk19_0) = xn
    & sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2504])])]) ).

cnf(c_0_20,plain,
    ( X1 = sdtsldt0(X2,X3)
    | X3 = sz00
    | ~ aNaturalNumber0(X1)
    | X2 != sdtasdt0(X3,X1)
    | ~ doDivides0(X3,X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_16]),c_0_17]) ).

fof(c_0_22,hypothesis,
    ! [X104,X105] :
      ( aNaturalNumber0(xr)
      & aNaturalNumber0(esk12_0)
      & xk = sdtasdt0(xr,esk12_0)
      & doDivides0(xr,xk)
      & xr != sz00
      & xr != sz10
      & ( ~ aNaturalNumber0(X105)
        | xr != sdtasdt0(X104,X105)
        | ~ aNaturalNumber0(X104)
        | X104 = sz10
        | X104 = xr )
      & ( ~ doDivides0(X104,xr)
        | ~ aNaturalNumber0(X104)
        | X104 = sz10
        | X104 = xr )
      & isPrime0(xr) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2342])])])])]) ).

fof(c_0_23,negated_conjecture,
    ~ ( ( aNaturalNumber0(sdtsldt0(xk,xr))
        & xk = sdtasdt0(xr,sdtsldt0(xk,xr)) )
     => ( ( aNaturalNumber0(sdtsldt0(xn,xr))
          & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
       => sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_24,hypothesis,
    sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm),
    inference(split_conjunct,[status(thm)],[m__2576]) ).

cnf(c_0_25,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,hypothesis,
    aNaturalNumber0(sdtsldt0(xn,xr)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_28,plain,
    ( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
    | X1 = sz00
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_17]),c_0_21]) ).

cnf(c_0_29,hypothesis,
    aNaturalNumber0(xr),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,hypothesis,
    xr != sz00,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_31,hypothesis,
    ( aNaturalNumber0(esk18_0)
    & xn = sdtasdt0(xr,esk18_0)
    & doDivides0(xr,xn) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2487])]) ).

fof(c_0_32,negated_conjecture,
    ( aNaturalNumber0(sdtsldt0(xk,xr))
    & xk = sdtasdt0(xr,sdtsldt0(xk,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(sdtsldt0(xn,xr),xm) ),
    inference(fof_nnf,[status(thm)],[c_0_23]) ).

cnf(c_0_33,hypothesis,
    sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xr)),xr) = sdtasdt0(xn,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).

cnf(c_0_34,hypothesis,
    ( sdtsldt0(sdtasdt0(xr,X1),xr) = X1
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_35,hypothesis,
    xn = sdtasdt0(xr,esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_36,hypothesis,
    aNaturalNumber0(esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_37,hypothesis,
    ( aNaturalNumber0(esk13_0)
    & sdtpldt0(xr,esk13_0) = xk
    & aNaturalNumber0(esk14_0)
    & sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0)
    & doDivides0(xr,sdtasdt0(xn,xm)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2362])]) ).

cnf(c_0_38,negated_conjecture,
    sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(sdtsldt0(xn,xr),xm),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_39,hypothesis,
    ( sdtasdt0(xr,sdtasdt0(xm,sdtsldt0(xn,xr))) = sdtasdt0(xn,xm)
    | ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xn,xr))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_33]),c_0_29])]) ).

cnf(c_0_40,hypothesis,
    sdtsldt0(xn,xr) = esk18_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).

cnf(c_0_41,hypothesis,
    sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_42,hypothesis,
    aNaturalNumber0(esk14_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    sdtasdt0(xm,sdtsldt0(xn,xr)) != sdtasdt0(xp,sdtsldt0(xk,xr)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_25]),c_0_26]),c_0_27])]) ).

cnf(c_0_44,hypothesis,
    xk = sdtasdt0(xr,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_45,hypothesis,
    aNaturalNumber0(esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_46,hypothesis,
    ( sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xm,esk18_0)
    | ~ aNaturalNumber0(sdtasdt0(xm,esk18_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_39]),c_0_40]),c_0_40]) ).

cnf(c_0_47,hypothesis,
    sdtsldt0(sdtasdt0(xn,xm),xr) = esk14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_41]),c_0_42])]) ).

fof(c_0_48,plain,
    ! [X80,X81,X82] :
      ( ~ aNaturalNumber0(X80)
      | ~ aNaturalNumber0(X81)
      | X80 = sz00
      | ~ doDivides0(X80,X81)
      | ~ aNaturalNumber0(X82)
      | sdtasdt0(X82,sdtsldt0(X81,X80)) = sdtsldt0(sdtasdt0(X82,X81),X80) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivAsso])])]) ).

cnf(c_0_49,negated_conjecture,
    sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(xm,esk18_0),
    inference(rw,[status(thm)],[c_0_43,c_0_40]) ).

cnf(c_0_50,hypothesis,
    sdtsldt0(xk,xr) = esk12_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_44]),c_0_45])]) ).

cnf(c_0_51,hypothesis,
    ( sdtasdt0(xm,esk18_0) = esk14_0
    | ~ aNaturalNumber0(sdtasdt0(xm,esk18_0)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,plain,
    ( X1 = sz00
    | sdtasdt0(X3,sdtsldt0(X2,X1)) = sdtsldt0(sdtasdt0(X3,X2),X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_53,hypothesis,
    doDivides0(xr,xk),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_54,hypothesis,
    aNaturalNumber0(xk),
    inference(split_conjunct,[status(thm)],[m__2306]) ).

cnf(c_0_55,negated_conjecture,
    sdtasdt0(xm,esk18_0) != sdtasdt0(xp,esk12_0),
    inference(rw,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,hypothesis,
    sdtasdt0(xm,esk18_0) = esk14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_17]),c_0_36]),c_0_27])]) ).

cnf(c_0_57,hypothesis,
    ( sdtsldt0(sdtasdt0(X1,xk),xr) = sdtasdt0(X1,esk12_0)
    | ~ aNaturalNumber0(X1) ),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_29])]),c_0_30]),c_0_50]) ).

cnf(c_0_58,hypothesis,
    sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
    inference(split_conjunct,[status(thm)],[m__2306]) ).

cnf(c_0_59,hypothesis,
    aNaturalNumber0(xp),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_60,negated_conjecture,
    sdtasdt0(xp,esk12_0) != esk14_0,
    inference(rw,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_61,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_47]),c_0_59])]),c_0_60]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUM513+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n032.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 14:21:04 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.45  Running first-order theorem proving
% 0.17/0.45  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.zO0OsqBaM1/E---3.1_28857.p
% 0.17/0.72  # Version: 3.1pre001
% 0.17/0.72  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.72  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.72  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.72  # Starting sh5l with 300s (1) cores
% 0.17/0.72  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 28969 completed with status 0
% 0.17/0.72  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.72  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.72  # No SInE strategy applied
% 0.17/0.72  # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.17/0.72  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.72  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.17/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.72  # Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.17/0.72  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 0.17/0.72  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.72  # G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with pid 28980 completed with status 0
% 0.17/0.72  # Result found by G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN
% 0.17/0.72  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.72  # No SInE strategy applied
% 0.17/0.72  # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.17/0.72  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.72  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.17/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.72  # Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.17/0.72  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 0.17/0.72  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.72  # Preprocessing time       : 0.005 s
% 0.17/0.72  # Presaturation interreduction done
% 0.17/0.72  
% 0.17/0.72  # Proof found!
% 0.17/0.72  # SZS status Theorem
% 0.17/0.72  # SZS output start CNFRefutation
% See solution above
% 0.17/0.72  # Parsed axioms                        : 55
% 0.17/0.72  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.72  # Initial clauses                      : 275
% 0.17/0.72  # Removed in clause preprocessing      : 3
% 0.17/0.72  # Initial clauses in saturation        : 272
% 0.17/0.72  # Processed clauses                    : 1466
% 0.17/0.72  # ...of these trivial                  : 40
% 0.17/0.72  # ...subsumed                          : 391
% 0.17/0.72  # ...remaining for further processing  : 1035
% 0.17/0.72  # Other redundant clauses eliminated   : 38
% 0.17/0.72  # Clauses deleted for lack of memory   : 0
% 0.17/0.72  # Backward-subsumed                    : 25
% 0.17/0.72  # Backward-rewritten                   : 97
% 0.17/0.72  # Generated clauses                    : 6767
% 0.17/0.72  # ...of the previous two non-redundant : 6472
% 0.17/0.72  # ...aggressively subsumed             : 0
% 0.17/0.72  # Contextual simplify-reflections      : 16
% 0.17/0.72  # Paramodulations                      : 6723
% 0.17/0.72  # Factorizations                       : 2
% 0.17/0.72  # NegExts                              : 0
% 0.17/0.72  # Equation resolutions                 : 40
% 0.17/0.72  # Total rewrite steps                  : 6963
% 0.17/0.72  # Propositional unsat checks           : 0
% 0.17/0.72  #    Propositional check models        : 0
% 0.17/0.72  #    Propositional check unsatisfiable : 0
% 0.17/0.72  #    Propositional clauses             : 0
% 0.17/0.72  #    Propositional clauses after purity: 0
% 0.17/0.72  #    Propositional unsat core size     : 0
% 0.17/0.72  #    Propositional preprocessing time  : 0.000
% 0.17/0.72  #    Propositional encoding time       : 0.000
% 0.17/0.72  #    Propositional solver time         : 0.000
% 0.17/0.72  #    Success case prop preproc time    : 0.000
% 0.17/0.72  #    Success case prop encoding time   : 0.000
% 0.17/0.72  #    Success case prop solver time     : 0.000
% 0.17/0.72  # Current number of processed clauses  : 644
% 0.17/0.72  #    Positive orientable unit clauses  : 149
% 0.17/0.72  #    Positive unorientable unit clauses: 0
% 0.17/0.72  #    Negative unit clauses             : 41
% 0.17/0.72  #    Non-unit-clauses                  : 454
% 0.17/0.72  # Current number of unprocessed clauses: 5435
% 0.17/0.72  # ...number of literals in the above   : 42281
% 0.17/0.72  # Current number of archived formulas  : 0
% 0.17/0.72  # Current number of archived clauses   : 380
% 0.17/0.72  # Clause-clause subsumption calls (NU) : 76725
% 0.17/0.72  # Rec. Clause-clause subsumption calls : 5245
% 0.17/0.72  # Non-unit clause-clause subsumptions  : 250
% 0.17/0.72  # Unit Clause-clause subsumption calls : 13099
% 0.17/0.72  # Rewrite failures with RHS unbound    : 0
% 0.17/0.72  # BW rewrite match attempts            : 29
% 0.17/0.72  # BW rewrite match successes           : 23
% 0.17/0.72  # Condensation attempts                : 0
% 0.17/0.72  # Condensation successes               : 0
% 0.17/0.72  # Termbank termtop insertions          : 208483
% 0.17/0.72  
% 0.17/0.72  # -------------------------------------------------
% 0.17/0.72  # User time                : 0.245 s
% 0.17/0.72  # System time              : 0.012 s
% 0.17/0.72  # Total time               : 0.256 s
% 0.17/0.72  # Maximum resident set size: 2456 pages
% 0.17/0.72  
% 0.17/0.72  # -------------------------------------------------
% 0.17/0.72  # User time                : 1.197 s
% 0.17/0.72  # System time              : 0.048 s
% 0.17/0.72  # Total time               : 1.245 s
% 0.17/0.72  # Maximum resident set size: 1756 pages
% 0.17/0.72  % E---3.1 exiting
% 0.17/0.73  % E---3.1 exiting
%------------------------------------------------------------------------------