TSTP Solution File: NUM582+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM582+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n028.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 09:34:03 EDT 2022

% Result   : Theorem 0.21s 1.40s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :  248 (  12 equ)
%            Maximal formula atoms :  181 (  12 avg)
%            Number of connectives :  381 ( 153   ~; 162   |;  54   &)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   45 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   24 (   1 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__3754,hypothesis,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( sdtlseqdt0(X2,X1)
       => ( ! [X3] :
              ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
             => aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
          & aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3754) ).

fof(mZeroLess,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => sdtlseqdt0(sz00,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mZeroLess) ).

fof(m__,conjecture,
    ( ! [X1] :
        ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
       => aElementOf0(X1,xS) )
    | aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).

fof(m__3989,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3989) ).

fof(m__3623,hypothesis,
    ( aFunction0(xN)
    & szDzozmdt0(xN) = szNzAzT0
    & sdtlpdtrp0(xN,sz00) = xS
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( ( ( ( aSet0(sdtlpdtrp0(xN,X1))
                & ! [X2] :
                    ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
                   => aElementOf0(X2,szNzAzT0) ) )
              | aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) )
            & isCountable0(sdtlpdtrp0(xN,X1)) )
         => ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & ! [X2] :
                ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              <=> ( aElement0(X2)
                  & aElementOf0(X2,sdtlpdtrp0(xN,X1))
                  & X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
            & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
               => aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3623) ).

fof(mZeroNum,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mZeroNum) ).

fof(c_0_6,hypothesis,
    ! [X4,X5,X6] :
      ( ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
        | aElementOf0(X6,sdtlpdtrp0(xN,X5))
        | ~ sdtlseqdt0(X5,X4)
        | ~ aElementOf0(X4,szNzAzT0)
        | ~ aElementOf0(X5,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5))
        | ~ sdtlseqdt0(X5,X4)
        | ~ aElementOf0(X4,szNzAzT0)
        | ~ aElementOf0(X5,szNzAzT0) ) ),
    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)],[m__3754])])])])])]) ).

fof(c_0_7,plain,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | sdtlseqdt0(sz00,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).

fof(c_0_8,negated_conjecture,
    ~ ( ! [X1] :
          ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
         => aElementOf0(X1,xS) )
      | aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_9,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ sdtlseqdt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,hypothesis,
    aElementOf0(xi,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3989]) ).

cnf(c_0_11,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_12,hypothesis,
    ! [X3,X5,X6,X6,X7] :
      ( aFunction0(xN)
      & szDzozmdt0(xN) = szNzAzT0
      & sdtlpdtrp0(xN,sz00) = xS
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
        | aElementOf0(esk3_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
        | aElementOf0(esk3_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk3_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElement0(X6)
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk3_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElementOf0(X6,sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk3_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( X6 != szmzizndt0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk3_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElement0(X6)
        | ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
        | X6 = szmzizndt0(sdtlpdtrp0(xN,X3))
        | aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk3_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | aElementOf0(esk3_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk3_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | aElementOf0(esk3_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | aElementOf0(esk3_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(esk3_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
        | ~ aElementOf0(esk3_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk3_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElement0(X6)
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk3_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElementOf0(X6,sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk3_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( X6 != szmzizndt0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk3_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElement0(X6)
        | ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
        | X6 = szmzizndt0(sdtlpdtrp0(xN,X3))
        | aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk3_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | ~ aElementOf0(esk3_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk3_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk3_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | ~ aElementOf0(esk3_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElement0(X6)
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElementOf0(X6,sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( X6 != szmzizndt0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElement0(X6)
        | ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
        | X6 = szmzizndt0(sdtlpdtrp0(xN,X3))
        | aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) ) ),
    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)],[m__3623])])])])])])]) ).

fof(c_0_13,negated_conjecture,
    ( aElementOf0(esk1_0,sdtlpdtrp0(xN,xi))
    & ~ aElementOf0(esk1_0,xS)
    & ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).

cnf(c_0_14,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,X1))
    | ~ sdtlseqdt0(X1,xi)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,hypothesis,
    sdtlseqdt0(sz00,xi),
    inference(spm,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_16,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(split_conjunct,[status(thm)],[mZeroNum]) ).

cnf(c_0_18,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM582+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.32  % Computer : n028.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Thu Jul  7 11:38:38 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.21/1.40  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.21/1.40  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.21/1.40  # Preprocessing time       : 0.022 s
% 0.21/1.40  
% 0.21/1.40  # Proof found!
% 0.21/1.40  # SZS status Theorem
% 0.21/1.40  # SZS output start CNFRefutation
% See solution above
% 0.21/1.40  # Proof object total steps             : 20
% 0.21/1.40  # Proof object clause steps            : 9
% 0.21/1.40  # Proof object formula steps           : 11
% 0.21/1.40  # Proof object conjectures             : 4
% 0.21/1.40  # Proof object clause conjectures      : 1
% 0.21/1.40  # Proof object formula conjectures     : 3
% 0.21/1.40  # Proof object initial clauses used    : 6
% 0.21/1.40  # Proof object initial formulas used   : 6
% 0.21/1.40  # Proof object generating inferences   : 3
% 0.21/1.40  # Proof object simplifying inferences  : 4
% 0.21/1.40  # Training examples: 0 positive, 0 negative
% 0.21/1.40  # Parsed axioms                        : 88
% 0.21/1.40  # Removed by relevancy pruning/SinE    : 48
% 0.21/1.40  # Initial clauses                      : 106
% 0.21/1.40  # Removed in clause preprocessing      : 5
% 0.21/1.40  # Initial clauses in saturation        : 101
% 0.21/1.40  # Processed clauses                    : 321
% 0.21/1.40  # ...of these trivial                  : 10
% 0.21/1.40  # ...subsumed                          : 37
% 0.21/1.40  # ...remaining for further processing  : 274
% 0.21/1.40  # Other redundant clauses eliminated   : 1
% 0.21/1.40  # Clauses deleted for lack of memory   : 0
% 0.21/1.40  # Backward-subsumed                    : 1
% 0.21/1.40  # Backward-rewritten                   : 0
% 0.21/1.40  # Generated clauses                    : 1021
% 0.21/1.40  # ...of the previous two non-trivial   : 968
% 0.21/1.40  # Contextual simplify-reflections      : 99
% 0.21/1.40  # Paramodulations                      : 1014
% 0.21/1.40  # Factorizations                       : 0
% 0.21/1.40  # Equation resolutions                 : 7
% 0.21/1.40  # Current number of processed clauses  : 272
% 0.21/1.40  #    Positive orientable unit clauses  : 88
% 0.21/1.40  #    Positive unorientable unit clauses: 0
% 0.21/1.40  #    Negative unit clauses             : 46
% 0.21/1.40  #    Non-unit-clauses                  : 138
% 0.21/1.40  # Current number of unprocessed clauses: 746
% 0.21/1.40  # ...number of literals in the above   : 1780
% 0.21/1.40  # Current number of archived formulas  : 0
% 0.21/1.40  # Current number of archived clauses   : 1
% 0.21/1.40  # Clause-clause subsumption calls (NU) : 3924
% 0.21/1.40  # Rec. Clause-clause subsumption calls : 1816
% 0.21/1.40  # Non-unit clause-clause subsumptions  : 129
% 0.21/1.40  # Unit Clause-clause subsumption calls : 1791
% 0.21/1.40  # Rewrite failures with RHS unbound    : 0
% 0.21/1.40  # BW rewrite match attempts            : 37
% 0.21/1.40  # BW rewrite match successes           : 0
% 0.21/1.40  # Condensation attempts                : 0
% 0.21/1.40  # Condensation successes               : 0
% 0.21/1.40  # Termbank termtop insertions          : 26320
% 0.21/1.40  
% 0.21/1.40  # -------------------------------------------------
% 0.21/1.40  # User time                : 0.044 s
% 0.21/1.40  # System time              : 0.004 s
% 0.21/1.40  # Total time               : 0.048 s
% 0.21/1.40  # Maximum resident set size: 4360 pages
%------------------------------------------------------------------------------