TSTP Solution File: NUM601+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM601+3 : 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 09:34:17 EDT 2022

% Result   : Theorem 0.32s 18.52s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   57 (  15 unt;   0 def)
%            Number of atoms       :  492 (  80 equ)
%            Maximal formula atoms :  181 (   8 avg)
%            Number of connectives :  706 ( 271   ~; 291   |; 116   &)
%                                         (   7 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   45 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  11 con; 0-4 aty)
%            Number of variables   :  104 (   7 sgn  61   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__4854,hypothesis,
    ( aElementOf0(szDzizrdt0(xd),xT)
    & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ! [X1] :
        ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      <=> ( aElementOf0(X1,szDzozmdt0(xd))
          & sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4854) ).

fof(m__4730,hypothesis,
    ( aFunction0(xd)
    & szDzozmdt0(xd) = szNzAzT0
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ! [X2] :
            ( ( aSet0(X2)
              & ( ( ( ! [X3] :
                        ( aElementOf0(X3,X2)
                       => aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
                    | aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
                  & sbrdtbr0(X2) = xk )
                | aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
           => sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4730) ).

fof(mDefSub,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,X1) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefSub) ).

fof(m__4982,hypothesis,
    ! [X1] :
      ( ( ? [X2] :
            ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
            & sdtlpdtrp0(xe,X2) = X1 )
        | aElementOf0(X1,xO) )
     => ? [X2] :
          ( aElementOf0(X2,szNzAzT0)
          & sdtlpdtrp0(xd,X2) = szDzizrdt0(xd)
          & aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,X2) = X1 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4982) ).

fof(mDefSImg,axiom,
    ! [X1] :
      ( aFunction0(X1)
     => ! [X2] :
          ( aSubsetOf0(X2,szDzozmdt0(X1))
         => ! [X3] :
              ( X3 = sdtlcdtrc0(X1,X2)
            <=> ( aSet0(X3)
                & ! [X4] :
                    ( aElementOf0(X4,X3)
                  <=> ? [X5] :
                        ( aElementOf0(X5,X2)
                        & sdtlpdtrp0(X1,X5) = X4 ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefSImg) ).

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(m__4660,hypothesis,
    ( aFunction0(xe)
    & szDzozmdt0(xe) = szNzAzT0
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
          & ! [X2] :
              ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
             => sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
          & sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4660) ).

fof(m__4891,hypothesis,
    ( aSet0(xO)
    & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ! [X1] :
        ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      <=> ( aElementOf0(X1,szDzozmdt0(xd))
          & sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) ) )
    & ! [X1] :
        ( aElementOf0(X1,xO)
      <=> ? [X2] :
            ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
            & sdtlpdtrp0(xe,X2) = X1 ) )
    & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4891) ).

fof(mNATSet,axiom,
    ( aSet0(szNzAzT0)
    & isCountable0(szNzAzT0) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mNATSet) ).

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

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

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_13,hypothesis,
    ! [X2,X2] :
      ( aElementOf0(szDzizrdt0(xd),xT)
      & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
      & ( aElementOf0(X2,szDzozmdt0(xd))
        | ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
      & ( sdtlpdtrp0(xd,X2) = szDzizrdt0(xd)
        | ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
      & ( ~ aElementOf0(X2,szDzozmdt0(xd))
        | sdtlpdtrp0(xd,X2) != szDzizrdt0(xd)
        | aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
    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__4854])])])])])]) ).

fof(c_0_14,hypothesis,
    ! [X4,X5] :
      ( aFunction0(xd)
      & szDzozmdt0(xd) = szNzAzT0
      & ( aElementOf0(esk36_2(X4,X5),X5)
        | sbrdtbr0(X5) != xk
        | ~ aSet0(X5)
        | sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( ~ aElementOf0(esk36_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
        | sbrdtbr0(X5) != xk
        | ~ aSet0(X5)
        | sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))
        | sbrdtbr0(X5) != xk
        | ~ aSet0(X5)
        | sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk))
        | ~ aSet0(X5)
        | sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
        | ~ aElementOf0(X4,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__4730])])])])])])]) ).

cnf(c_0_15,hypothesis,
    ( aElementOf0(X1,szDzozmdt0(xd))
    | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,hypothesis,
    szDzozmdt0(xd) = szNzAzT0,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_17,plain,
    ! [X4,X5,X6,X5] :
      ( ( aSet0(X5)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( ~ aElementOf0(X6,X5)
        | aElementOf0(X6,X4)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( aElementOf0(esk2_2(X4,X5),X5)
        | ~ aSet0(X5)
        | aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( ~ aElementOf0(esk2_2(X4,X5),X4)
        | ~ aSet0(X5)
        | aSubsetOf0(X5,X4)
        | ~ aSet0(X4) ) ),
    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)],[mDefSub])])])])])])]) ).

fof(c_0_18,hypothesis,
    ! [X3,X4] :
      ( ( aElementOf0(esk39_1(X3),szNzAzT0)
        | ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X4) != X3 )
      & ( sdtlpdtrp0(xd,esk39_1(X3)) = szDzizrdt0(xd)
        | ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X4) != X3 )
      & ( aElementOf0(esk39_1(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X4) != X3 )
      & ( sdtlpdtrp0(xe,esk39_1(X3)) = X3
        | ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X4) != X3 )
      & ( aElementOf0(esk39_1(X3),szNzAzT0)
        | ~ aElementOf0(X3,xO) )
      & ( sdtlpdtrp0(xd,esk39_1(X3)) = szDzizrdt0(xd)
        | ~ aElementOf0(X3,xO) )
      & ( aElementOf0(esk39_1(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ~ aElementOf0(X3,xO) )
      & ( sdtlpdtrp0(xe,esk39_1(X3)) = X3
        | ~ aElementOf0(X3,xO) ) ),
    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__4982])])])])])])]) ).

fof(c_0_19,plain,
    ! [X6,X7,X8,X9,X9,X11,X8,X13] :
      ( ( aSet0(X8)
        | X8 != sdtlcdtrc0(X6,X7)
        | ~ aSubsetOf0(X7,szDzozmdt0(X6))
        | ~ aFunction0(X6) )
      & ( aElementOf0(esk14_4(X6,X7,X8,X9),X7)
        | ~ aElementOf0(X9,X8)
        | X8 != sdtlcdtrc0(X6,X7)
        | ~ aSubsetOf0(X7,szDzozmdt0(X6))
        | ~ aFunction0(X6) )
      & ( sdtlpdtrp0(X6,esk14_4(X6,X7,X8,X9)) = X9
        | ~ aElementOf0(X9,X8)
        | X8 != sdtlcdtrc0(X6,X7)
        | ~ aSubsetOf0(X7,szDzozmdt0(X6))
        | ~ aFunction0(X6) )
      & ( ~ aElementOf0(X11,X7)
        | sdtlpdtrp0(X6,X11) != X9
        | aElementOf0(X9,X8)
        | X8 != sdtlcdtrc0(X6,X7)
        | ~ aSubsetOf0(X7,szDzozmdt0(X6))
        | ~ aFunction0(X6) )
      & ( ~ aElementOf0(esk15_3(X6,X7,X8),X8)
        | ~ aElementOf0(X13,X7)
        | sdtlpdtrp0(X6,X13) != esk15_3(X6,X7,X8)
        | ~ aSet0(X8)
        | X8 = sdtlcdtrc0(X6,X7)
        | ~ aSubsetOf0(X7,szDzozmdt0(X6))
        | ~ aFunction0(X6) )
      & ( aElementOf0(esk16_3(X6,X7,X8),X7)
        | aElementOf0(esk15_3(X6,X7,X8),X8)
        | ~ aSet0(X8)
        | X8 = sdtlcdtrc0(X6,X7)
        | ~ aSubsetOf0(X7,szDzozmdt0(X6))
        | ~ aFunction0(X6) )
      & ( sdtlpdtrp0(X6,esk16_3(X6,X7,X8)) = esk15_3(X6,X7,X8)
        | aElementOf0(esk15_3(X6,X7,X8),X8)
        | ~ aSet0(X8)
        | X8 = sdtlcdtrc0(X6,X7)
        | ~ aSubsetOf0(X7,szDzozmdt0(X6))
        | ~ aFunction0(X6) ) ),
    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)],[mDefSImg])])])])])])]) ).

cnf(c_0_20,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,plain,
    ( aSubsetOf0(X2,X1)
    | aElementOf0(esk2_2(X1,X2),X2)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,hypothesis,
    aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_23,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_24,hypothesis,
    ! [X3,X4] :
      ( aFunction0(xe)
      & szDzozmdt0(xe) = szNzAzT0
      & ( aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
        | sdtlseqdt0(sdtlpdtrp0(xe,X3),X4)
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( sdtlpdtrp0(xe,X3) = szmzizndt0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,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__4660])])])])])]) ).

cnf(c_0_25,hypothesis,
    ( sdtlpdtrp0(xe,esk39_1(X2)) = X2
    | sdtlpdtrp0(xe,X1) != X2
    | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    ( aElementOf0(esk14_4(X1,X2,X3,X4),X2)
    | ~ aFunction0(X1)
    | ~ aSubsetOf0(X2,szDzozmdt0(X1))
    | X3 != sdtlcdtrc0(X1,X2)
    | ~ aElementOf0(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_27,hypothesis,
    ! [X3,X3,X4,X4,X6] :
      ( aSet0(xO)
      & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
      & ( aElementOf0(X3,szDzozmdt0(xd))
        | ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
      & ( sdtlpdtrp0(xd,X3) = szDzizrdt0(xd)
        | ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
      & ( ~ aElementOf0(X3,szDzozmdt0(xd))
        | sdtlpdtrp0(xd,X3) != szDzizrdt0(xd)
        | aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
      & ( aElementOf0(esk38_1(X4),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ~ aElementOf0(X4,xO) )
      & ( sdtlpdtrp0(xe,esk38_1(X4)) = X4
        | ~ aElementOf0(X4,xO) )
      & ( ~ aElementOf0(X6,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X6) != X4
        | aElementOf0(X4,xO) )
      & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    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__4891])])])])])])]) ).

cnf(c_0_28,plain,
    ( aSubsetOf0(X2,X1)
    | ~ aSet0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(esk2_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_29,hypothesis,
    ( aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),X1)
    | aElementOf0(esk2_2(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0)
    | ~ aSet0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).

cnf(c_0_30,plain,
    aSet0(szNzAzT0),
    inference(split_conjunct,[status(thm)],[mNATSet]) ).

fof(c_0_31,negated_conjecture,
    ~ ( ! [X1] :
          ( aElementOf0(X1,xO)
         => aElementOf0(X1,xS) )
      | aSubsetOf0(xO,xS) ),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_32,hypothesis,
    ( aElementOf0(esk39_1(X2),szNzAzT0)
    | sdtlpdtrp0(xe,X1) != X2
    | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_33,hypothesis,
    ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X3,sdtlpdtrp0(xN,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_34,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_35,plain,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | sdtlseqdt0(sz00,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).

fof(c_0_36,hypothesis,
    ! [X3,X5,X6,X6,X7] :
      ( aFunction0(xN)
      & szDzozmdt0(xN) = szNzAzT0
      & sdtlpdtrp0(xN,sz00) = xS
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
        | aElementOf0(esk31_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(esk31_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(esk31_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(esk31_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(esk31_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(esk31_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(esk31_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | aElementOf0(esk31_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(esk31_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(esk31_1(X3),sdtlpdtrp0(xN,X3))
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | aElementOf0(esk31_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(esk31_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(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
        | ~ aElementOf0(esk31_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(esk31_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(esk31_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(esk31_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(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | ~ aElementOf0(esk31_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(esk31_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(esk31_1(X3),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X3))
        | ~ isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
        | ~ aElementOf0(esk31_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])])])])])])]) ).

cnf(c_0_37,hypothesis,
    ( sdtlpdtrp0(xe,esk39_1(X1)) = X1
    | sdtlpdtrp0(xe,esk14_4(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)),X3,X4)) != X1
    | X3 != sdtlcdtrc0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | ~ aFunction0(X2)
    | ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(X2))
    | ~ aElementOf0(X4,X3) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_38,plain,
    ( sdtlpdtrp0(X1,esk14_4(X1,X2,X3,X4)) = X4
    | ~ aFunction0(X1)
    | ~ aSubsetOf0(X2,szDzozmdt0(X1))
    | X3 != sdtlcdtrc0(X1,X2)
    | ~ aElementOf0(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_39,hypothesis,
    xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_40,hypothesis,
    aFunction0(xe),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_41,hypothesis,
    szDzozmdt0(xe) = szNzAzT0,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_42,hypothesis,
    aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_22]),c_0_30])]) ).

fof(c_0_43,negated_conjecture,
    ( aElementOf0(esk40_0,xO)
    & ~ aElementOf0(esk40_0,xS)
    & ~ aSubsetOf0(xO,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_31])])])])]) ).

cnf(c_0_44,hypothesis,
    ( aElementOf0(esk39_1(X1),szNzAzT0)
    | sdtlpdtrp0(xe,esk14_4(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)),X3,X4)) != X1
    | X3 != sdtlcdtrc0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | ~ aFunction0(X2)
    | ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(X2))
    | ~ aElementOf0(X4,X3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_26]) ).

cnf(c_0_45,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_46,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_47,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_48,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(split_conjunct,[status(thm)],[mZeroNum]) ).

cnf(c_0_49,hypothesis,
    ( sdtlpdtrp0(xe,esk39_1(X1)) = X1
    | X2 != xO
    | ~ aElementOf0(X1,X2) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42])])]) ).

cnf(c_0_50,negated_conjecture,
    aElementOf0(esk40_0,xO),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_51,hypothesis,
    ( aElementOf0(esk39_1(X1),szNzAzT0)
    | X2 != xO
    | ~ aElementOf0(X1,X2) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42])])]) ).

cnf(c_0_52,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xe,X1),xS)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48])]) ).

cnf(c_0_53,negated_conjecture,
    sdtlpdtrp0(xe,esk39_1(esk40_0)) = esk40_0,
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    aElementOf0(esk39_1(esk40_0),szNzAzT0),
    inference(spm,[status(thm)],[c_0_51,c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    ~ aElementOf0(esk40_0,xS),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_56,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]),c_0_55]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM601+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.11  % Command  : run_ET %s %d
% 0.11/0.32  % Computer : n018.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 : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Tue Jul  5 04:59:52 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.32/18.52  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.32/18.52  # Preprocessing time       : 0.290 s
% 0.32/18.52  
% 0.32/18.52  # Proof found!
% 0.32/18.52  # SZS status Theorem
% 0.32/18.52  # SZS output start CNFRefutation
% See solution above
% 0.32/18.52  # Proof object total steps             : 57
% 0.32/18.52  # Proof object clause steps            : 32
% 0.32/18.52  # Proof object formula steps           : 25
% 0.32/18.52  # Proof object conjectures             : 8
% 0.32/18.52  # Proof object clause conjectures      : 5
% 0.32/18.52  # Proof object formula conjectures     : 3
% 0.32/18.52  # Proof object initial clauses used    : 20
% 0.32/18.52  # Proof object initial formulas used   : 13
% 0.32/18.52  # Proof object generating inferences   : 11
% 0.32/18.52  # Proof object simplifying inferences  : 24
% 0.32/18.52  # Training examples: 0 positive, 0 negative
% 0.32/18.52  # Parsed axioms                        : 98
% 0.32/18.52  # Removed by relevancy pruning/SinE    : 0
% 0.32/18.52  # Initial clauses                      : 4877
% 0.32/18.52  # Removed in clause preprocessing      : 7
% 0.32/18.52  # Initial clauses in saturation        : 4870
% 0.32/18.52  # Processed clauses                    : 16197
% 0.32/18.52  # ...of these trivial                  : 214
% 0.32/18.52  # ...subsumed                          : 6667
% 0.32/18.52  # ...remaining for further processing  : 9316
% 0.32/18.52  # Other redundant clauses eliminated   : 5843
% 0.32/18.52  # Clauses deleted for lack of memory   : 152404
% 0.32/18.52  # Backward-subsumed                    : 465
% 0.32/18.52  # Backward-rewritten                   : 56
% 0.32/18.52  # Generated clauses                    : 270144
% 0.32/18.52  # ...of the previous two non-trivial   : 253342
% 0.32/18.52  # Contextual simplify-reflections      : 7282
% 0.32/18.52  # Paramodulations                      : 263717
% 0.32/18.52  # Factorizations                       : 0
% 0.32/18.52  # Equation resolutions                 : 6426
% 0.32/18.52  # Current number of processed clauses  : 8791
% 0.32/18.52  #    Positive orientable unit clauses  : 170
% 0.32/18.52  #    Positive unorientable unit clauses: 0
% 0.32/18.52  #    Negative unit clauses             : 88
% 0.32/18.52  #    Non-unit-clauses                  : 8533
% 0.32/18.52  # Current number of unprocessed clauses: 82446
% 0.32/18.52  # ...number of literals in the above   : 775110
% 0.32/18.52  # Current number of archived formulas  : 0
% 0.32/18.52  # Current number of archived clauses   : 522
% 0.32/18.52  # Clause-clause subsumption calls (NU) : 17698250
% 0.32/18.52  # Rec. Clause-clause subsumption calls : 982035
% 0.32/18.52  # Non-unit clause-clause subsumptions  : 11611
% 0.32/18.52  # Unit Clause-clause subsumption calls : 443798
% 0.32/18.52  # Rewrite failures with RHS unbound    : 0
% 0.32/18.52  # BW rewrite match attempts            : 88
% 0.32/18.52  # BW rewrite match successes           : 29
% 0.32/18.52  # Condensation attempts                : 0
% 0.32/18.52  # Condensation successes               : 0
% 0.32/18.52  # Termbank termtop insertions          : 11759264
% 0.32/18.52  
% 0.32/18.52  # -------------------------------------------------
% 0.32/18.52  # User time                : 17.082 s
% 0.32/18.52  # System time              : 0.131 s
% 0.32/18.52  # Total time               : 17.213 s
% 0.32/18.52  # Maximum resident set size: 157988 pages
% 0.32/23.39  eprover: CPU time limit exceeded, terminating
% 0.32/23.39  eprover: CPU time limit exceeded, terminating
% 0.32/23.40  eprover: CPU time limit exceeded, terminating
% 0.32/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.41  eprover: No such file or directory
% 0.32/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.41  eprover: No such file or directory
% 0.32/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.41  eprover: No such file or directory
% 0.32/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.42  eprover: No such file or directory
% 0.32/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.42  eprover: No such file or directory
% 0.32/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.42  eprover: No such file or directory
% 0.32/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.42  eprover: No such file or directory
% 0.32/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.42  eprover: No such file or directory
% 0.32/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.42  eprover: No such file or directory
% 0.32/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.42  eprover: No such file or directory
% 0.32/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.43  eprover: No such file or directory
% 0.32/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.43  eprover: No such file or directory
% 0.32/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.43  eprover: No such file or directory
% 0.32/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.43  eprover: No such file or directory
% 0.32/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.43  eprover: No such file or directory
% 0.32/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.43  eprover: No such file or directory
% 0.32/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44  eprover: No such file or directory
% 0.32/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44  eprover: No such file or directory
% 0.32/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44  eprover: No such file or directory
% 0.32/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44  eprover: No such file or directory
% 0.32/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44  eprover: No such file or directory
% 0.32/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44  eprover: No such file or directory
% 0.32/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45  eprover: No such file or directory
% 0.32/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.45  eprover: No such file or directory
% 0.32/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.45  eprover: No such file or directory
% 0.32/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45  eprover: No such file or directory
% 0.32/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.45  eprover: No such file or directory
% 0.32/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.45  eprover: No such file or directory
% 0.32/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46  eprover: No such file or directory
% 0.32/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46  eprover: No such file or directory
% 0.32/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46  eprover: No such file or directory
% 0.32/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46  eprover: No such file or directory
% 0.32/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------