TSTP Solution File: NUM582+3 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : NUM582+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 18:56:28 EDT 2023

% Result   : Theorem 35.69s 5.06s
% Output   : CNFRefutation 35.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :  246 (  12 equ)
%            Maximal formula atoms :  181 (  12 avg)
%            Number of connectives :  379 ( 152   ~; 161   |;  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 (   0 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/tmp/tmp.IrUsqBX7DQ/E---3.1_4344.p',m__3754) ).

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/tmp/tmp.IrUsqBX7DQ/E---3.1_4344.p',m__3623) ).

fof(mZeroLess,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => sdtlseqdt0(sz00,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.IrUsqBX7DQ/E---3.1_4344.p',mZeroLess) ).

fof(m__,conjecture,
    ( ! [X1] :
        ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
       => aElementOf0(X1,xS) )
    | aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    file('/export/starexec/sandbox/tmp/tmp.IrUsqBX7DQ/E---3.1_4344.p',m__) ).

fof(mZeroNum,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/tmp/tmp.IrUsqBX7DQ/E---3.1_4344.p',mZeroNum) ).

fof(m__3989,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/tmp/tmp.IrUsqBX7DQ/E---3.1_4344.p',m__3989) ).

fof(c_0_6,hypothesis,
    ! [X69,X70,X71] :
      ( ( ~ aElementOf0(X71,sdtlpdtrp0(xN,X69))
        | aElementOf0(X71,sdtlpdtrp0(xN,X70))
        | ~ sdtlseqdt0(X70,X69)
        | ~ aElementOf0(X69,szNzAzT0)
        | ~ aElementOf0(X70,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,X69),sdtlpdtrp0(xN,X70))
        | ~ sdtlseqdt0(X70,X69)
        | ~ aElementOf0(X69,szNzAzT0)
        | ~ aElementOf0(X70,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])])]) ).

fof(c_0_7,hypothesis,
    ! [X82,X84,X85,X86,X87] :
      ( aFunction0(xN)
      & szDzozmdt0(xN) = szNzAzT0
      & sdtlpdtrp0(xN,sz00) = xS
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X82)),sdtlpdtrp0(xN,X82))
        | aElementOf0(esk15_1(X82),sdtlpdtrp0(xN,X82))
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( ~ aElementOf0(X84,sdtlpdtrp0(xN,X82))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X82)),X84)
        | aElementOf0(esk15_1(X82),sdtlpdtrp0(xN,X82))
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | aElementOf0(esk15_1(X82),sdtlpdtrp0(xN,X82))
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aElement0(X85)
        | ~ aElementOf0(X85,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | aElementOf0(esk15_1(X82),sdtlpdtrp0(xN,X82))
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aElementOf0(X85,sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X85,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | aElementOf0(esk15_1(X82),sdtlpdtrp0(xN,X82))
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( X85 != szmzizndt0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X85,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | aElementOf0(esk15_1(X82),sdtlpdtrp0(xN,X82))
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( ~ aElement0(X86)
        | ~ aElementOf0(X86,sdtlpdtrp0(xN,X82))
        | X86 = szmzizndt0(sdtlpdtrp0(xN,X82))
        | aElementOf0(X86,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | aElementOf0(esk15_1(X82),sdtlpdtrp0(xN,X82))
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X82)))
        | aElementOf0(esk15_1(X82),sdtlpdtrp0(xN,X82))
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( ~ aElementOf0(X87,sdtlpdtrp0(xN,szszuzczcdt0(X82)))
        | aElementOf0(X87,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | aElementOf0(esk15_1(X82),sdtlpdtrp0(xN,X82))
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X82)),sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | aElementOf0(esk15_1(X82),sdtlpdtrp0(xN,X82))
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X82)))
        | aElementOf0(esk15_1(X82),sdtlpdtrp0(xN,X82))
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X82)),sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(esk15_1(X82),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( ~ aElementOf0(X84,sdtlpdtrp0(xN,X82))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X82)),X84)
        | ~ aElementOf0(esk15_1(X82),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aElementOf0(esk15_1(X82),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aElement0(X85)
        | ~ aElementOf0(X85,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aElementOf0(esk15_1(X82),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aElementOf0(X85,sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X85,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aElementOf0(esk15_1(X82),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( X85 != szmzizndt0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X85,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aElementOf0(esk15_1(X82),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( ~ aElement0(X86)
        | ~ aElementOf0(X86,sdtlpdtrp0(xN,X82))
        | X86 = szmzizndt0(sdtlpdtrp0(xN,X82))
        | aElementOf0(X86,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aElementOf0(esk15_1(X82),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X82)))
        | ~ aElementOf0(esk15_1(X82),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( ~ aElementOf0(X87,sdtlpdtrp0(xN,szszuzczcdt0(X82)))
        | aElementOf0(X87,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aElementOf0(esk15_1(X82),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X82)),sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aElementOf0(esk15_1(X82),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X82)))
        | ~ aElementOf0(esk15_1(X82),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X82))
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X82)),sdtlpdtrp0(xN,X82))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X82),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( ~ aElementOf0(X84,sdtlpdtrp0(xN,X82))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X82)),X84)
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X82),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X82),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aElement0(X85)
        | ~ aElementOf0(X85,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X82),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aElementOf0(X85,sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X85,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X82),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( X85 != szmzizndt0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X85,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X82),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( ~ aElement0(X86)
        | ~ aElementOf0(X86,sdtlpdtrp0(xN,X82))
        | X86 = szmzizndt0(sdtlpdtrp0(xN,X82))
        | aElementOf0(X86,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X82),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X82)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X82),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( ~ aElementOf0(X87,sdtlpdtrp0(xN,szszuzczcdt0(X82)))
        | aElementOf0(X87,sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X82),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X82)),sdtmndt0(sdtlpdtrp0(xN,X82),szmzizndt0(sdtlpdtrp0(xN,X82))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X82),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X82)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X82),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X82))
        | ~ aElementOf0(X82,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])])])]) ).

fof(c_0_8,plain,
    ! [X165] :
      ( ~ aElementOf0(X165,szNzAzT0)
      | sdtlseqdt0(sz00,X165) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).

fof(c_0_9,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_10,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(split_conjunct,[status(thm)],[mZeroNum]) ).

cnf(c_0_12,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_14,negated_conjecture,
    ( aElementOf0(esk1_0,sdtlpdtrp0(xN,xi))
    & ~ aElementOf0(esk1_0,xS)
    & ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

cnf(c_0_15,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]) ).

cnf(c_0_16,hypothesis,
    aElementOf0(xi,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3989]) ).

cnf(c_0_17,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : NUM582+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14  % Command    : run_E %s %d THM
% 0.13/0.36  % Computer : n003.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 2400
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Mon Oct  2 14:43:33 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  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.IrUsqBX7DQ/E---3.1_4344.p
% 35.69/5.06  # Version: 3.1pre001
% 35.69/5.06  # Preprocessing class: FSLSSMSMSSSNFFN.
% 35.69/5.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.69/5.06  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 35.69/5.06  # Starting new_bool_3 with 300s (1) cores
% 35.69/5.06  # Starting new_bool_1 with 300s (1) cores
% 35.69/5.06  # Starting sh5l with 300s (1) cores
% 35.69/5.06  # sh5l with pid 4426 completed with status 0
% 35.69/5.06  # Result found by sh5l
% 35.69/5.06  # Preprocessing class: FSLSSMSMSSSNFFN.
% 35.69/5.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.69/5.06  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 35.69/5.06  # Starting new_bool_3 with 300s (1) cores
% 35.69/5.06  # Starting new_bool_1 with 300s (1) cores
% 35.69/5.06  # Starting sh5l with 300s (1) cores
% 35.69/5.06  # SinE strategy is gf500_gu_R04_F100_L20000
% 35.69/5.06  # Search class: FGHSF-SMLM32-MFFFFFNN
% 35.69/5.06  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 35.69/5.06  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 163s (1) cores
% 35.69/5.06  # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 4432 completed with status 0
% 35.69/5.06  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 35.69/5.06  # Preprocessing class: FSLSSMSMSSSNFFN.
% 35.69/5.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.69/5.06  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 35.69/5.06  # Starting new_bool_3 with 300s (1) cores
% 35.69/5.06  # Starting new_bool_1 with 300s (1) cores
% 35.69/5.06  # Starting sh5l with 300s (1) cores
% 35.69/5.06  # SinE strategy is gf500_gu_R04_F100_L20000
% 35.69/5.06  # Search class: FGHSF-SMLM32-MFFFFFNN
% 35.69/5.06  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 35.69/5.06  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 163s (1) cores
% 35.69/5.06  # Preprocessing time       : 0.099 s
% 35.69/5.06  # Presaturation interreduction done
% 35.69/5.06  
% 35.69/5.06  # Proof found!
% 35.69/5.06  # SZS status Theorem
% 35.69/5.06  # SZS output start CNFRefutation
% See solution above
% 35.69/5.06  # Parsed axioms                        : 88
% 35.69/5.06  # Removed by relevancy pruning/SinE    : 2
% 35.69/5.06  # Initial clauses                      : 4201
% 35.69/5.06  # Removed in clause preprocessing      : 7
% 35.69/5.06  # Initial clauses in saturation        : 4194
% 35.69/5.06  # Processed clauses                    : 7727
% 35.69/5.06  # ...of these trivial                  : 43
% 35.69/5.06  # ...subsumed                          : 1129
% 35.69/5.06  # ...remaining for further processing  : 6555
% 35.69/5.06  # Other redundant clauses eliminated   : 1935
% 35.69/5.06  # Clauses deleted for lack of memory   : 0
% 35.69/5.06  # Backward-subsumed                    : 16
% 35.69/5.06  # Backward-rewritten                   : 18
% 35.69/5.06  # Generated clauses                    : 9105
% 35.69/5.06  # ...of the previous two non-redundant : 8824
% 35.69/5.06  # ...aggressively subsumed             : 0
% 35.69/5.06  # Contextual simplify-reflections      : 53
% 35.69/5.06  # Paramodulations                      : 7356
% 35.69/5.06  # Factorizations                       : 6
% 35.69/5.06  # NegExts                              : 0
% 35.69/5.06  # Equation resolutions                 : 1937
% 35.69/5.06  # Total rewrite steps                  : 3370
% 35.69/5.06  # Propositional unsat checks           : 0
% 35.69/5.06  #    Propositional check models        : 0
% 35.69/5.06  #    Propositional check unsatisfiable : 0
% 35.69/5.06  #    Propositional clauses             : 0
% 35.69/5.06  #    Propositional clauses after purity: 0
% 35.69/5.06  #    Propositional unsat core size     : 0
% 35.69/5.06  #    Propositional preprocessing time  : 0.000
% 35.69/5.06  #    Propositional encoding time       : 0.000
% 35.69/5.06  #    Propositional solver time         : 0.000
% 35.69/5.06  #    Success case prop preproc time    : 0.000
% 35.69/5.06  #    Success case prop encoding time   : 0.000
% 35.69/5.06  #    Success case prop solver time     : 0.000
% 35.69/5.06  # Current number of processed clauses  : 1181
% 35.69/5.06  #    Positive orientable unit clauses  : 371
% 35.69/5.06  #    Positive unorientable unit clauses: 0
% 35.69/5.06  #    Negative unit clauses             : 95
% 35.69/5.06  #    Non-unit-clauses                  : 715
% 35.69/5.06  # Current number of unprocessed clauses: 8855
% 35.69/5.06  # ...number of literals in the above   : 61694
% 35.69/5.06  # Current number of archived formulas  : 0
% 35.69/5.06  # Current number of archived clauses   : 3634
% 35.69/5.06  # Clause-clause subsumption calls (NU) : 6768774
% 35.69/5.06  # Rec. Clause-clause subsumption calls : 90390
% 35.69/5.06  # Non-unit clause-clause subsumptions  : 1017
% 35.69/5.06  # Unit Clause-clause subsumption calls : 12672
% 35.69/5.06  # Rewrite failures with RHS unbound    : 0
% 35.69/5.06  # BW rewrite match attempts            : 814
% 35.69/5.06  # BW rewrite match successes           : 18
% 35.69/5.06  # Condensation attempts                : 0
% 35.69/5.06  # Condensation successes               : 0
% 35.69/5.06  # Termbank termtop insertions          : 724826
% 35.69/5.06  
% 35.69/5.06  # -------------------------------------------------
% 35.69/5.06  # User time                : 4.425 s
% 35.69/5.06  # System time              : 0.026 s
% 35.69/5.06  # Total time               : 4.451 s
% 35.69/5.06  # Maximum resident set size: 13360 pages
% 35.69/5.06  
% 35.69/5.06  # -------------------------------------------------
% 35.69/5.06  # User time                : 4.428 s
% 35.69/5.06  # System time              : 0.028 s
% 35.69/5.06  # Total time               : 4.456 s
% 35.69/5.06  # Maximum resident set size: 1812 pages
% 35.69/5.06  % E---3.1 exiting
% 35.69/5.06  % E---3.1 exiting
%------------------------------------------------------------------------------