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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : NUM603+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n020.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  : 300s
% DateTime : Tue May  5 04:57:59 PM UTC 2026

% Result   : Theorem 6.53s 4.67s
% Output   : CNFRefutation 6.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   6 unt;   0 def)
%            Number of atoms       :  247 (  13 equ)
%            Maximal formula atoms :  181 (  13 avg)
%            Number of connectives :  380 ( 152   ~; 161   |;  55   &)
%                                         (   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    :   14 (  14 usr;   8 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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.p',m__3623) ).

fof(mZeroLess,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => sdtlseqdt0(sz00,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).

fof(m__,conjecture,
    ( ! [X1] :
        ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
       => aElementOf0(X1,xS) )
    | aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(mZeroNum,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).

fof(m__5034,hypothesis,
    ( aElementOf0(xi,szNzAzT0)
    & sdtlpdtrp0(xe,xi) = xx ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5034) ).

fof(c_0_6,hypothesis,
    ! [X443,X444,X445] :
      ( ( ~ aElementOf0(X445,sdtlpdtrp0(xN,X443))
        | aElementOf0(X445,sdtlpdtrp0(xN,X444))
        | ~ sdtlseqdt0(X444,X443)
        | ~ aElementOf0(X443,szNzAzT0)
        | ~ aElementOf0(X444,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,X443),sdtlpdtrp0(xN,X444))
        | ~ sdtlseqdt0(X444,X443)
        | ~ aElementOf0(X443,szNzAzT0)
        | ~ aElementOf0(X444,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,
    ! [X435,X437,X438,X439,X440] :
      ( aFunction0(xN)
      & szDzozmdt0(xN) = szNzAzT0
      & sdtlpdtrp0(xN,sz00) = xS
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X435)),sdtlpdtrp0(xN,X435))
        | aElementOf0(esk31_1(X435),sdtlpdtrp0(xN,X435))
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( ~ aElementOf0(X437,sdtlpdtrp0(xN,X435))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X435)),X437)
        | aElementOf0(esk31_1(X435),sdtlpdtrp0(xN,X435))
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | aElementOf0(esk31_1(X435),sdtlpdtrp0(xN,X435))
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aElement0(X438)
        | ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | aElementOf0(esk31_1(X435),sdtlpdtrp0(xN,X435))
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aElementOf0(X438,sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | aElementOf0(esk31_1(X435),sdtlpdtrp0(xN,X435))
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( X438 != szmzizndt0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | aElementOf0(esk31_1(X435),sdtlpdtrp0(xN,X435))
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( ~ aElement0(X439)
        | ~ aElementOf0(X439,sdtlpdtrp0(xN,X435))
        | X439 = szmzizndt0(sdtlpdtrp0(xN,X435))
        | aElementOf0(X439,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | aElementOf0(esk31_1(X435),sdtlpdtrp0(xN,X435))
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X435)))
        | aElementOf0(esk31_1(X435),sdtlpdtrp0(xN,X435))
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( ~ aElementOf0(X440,sdtlpdtrp0(xN,szszuzczcdt0(X435)))
        | aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | aElementOf0(esk31_1(X435),sdtlpdtrp0(xN,X435))
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X435)),sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | aElementOf0(esk31_1(X435),sdtlpdtrp0(xN,X435))
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X435)))
        | aElementOf0(esk31_1(X435),sdtlpdtrp0(xN,X435))
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X435)),sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(esk31_1(X435),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( ~ aElementOf0(X437,sdtlpdtrp0(xN,X435))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X435)),X437)
        | ~ aElementOf0(esk31_1(X435),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aElementOf0(esk31_1(X435),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aElement0(X438)
        | ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aElementOf0(esk31_1(X435),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aElementOf0(X438,sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aElementOf0(esk31_1(X435),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( X438 != szmzizndt0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aElementOf0(esk31_1(X435),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( ~ aElement0(X439)
        | ~ aElementOf0(X439,sdtlpdtrp0(xN,X435))
        | X439 = szmzizndt0(sdtlpdtrp0(xN,X435))
        | aElementOf0(X439,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aElementOf0(esk31_1(X435),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X435)))
        | ~ aElementOf0(esk31_1(X435),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( ~ aElementOf0(X440,sdtlpdtrp0(xN,szszuzczcdt0(X435)))
        | aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aElementOf0(esk31_1(X435),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X435)),sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aElementOf0(esk31_1(X435),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X435)))
        | ~ aElementOf0(esk31_1(X435),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X435))
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X435)),sdtlpdtrp0(xN,X435))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X435),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( ~ aElementOf0(X437,sdtlpdtrp0(xN,X435))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X435)),X437)
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X435),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X435),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aElement0(X438)
        | ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X435),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aElementOf0(X438,sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X435),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( X438 != szmzizndt0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X435),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( ~ aElement0(X439)
        | ~ aElementOf0(X439,sdtlpdtrp0(xN,X435))
        | X439 = szmzizndt0(sdtlpdtrp0(xN,X435))
        | aElementOf0(X439,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X435),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X435)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X435),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( ~ aElementOf0(X440,sdtlpdtrp0(xN,szszuzczcdt0(X435)))
        | aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X435),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X435)),sdtmndt0(sdtlpdtrp0(xN,X435),szmzizndt0(sdtlpdtrp0(xN,X435))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X435),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X435)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X435),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X435))
        | ~ aElementOf0(X435,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,
    ! [X299] :
      ( ~ aElementOf0(X299,szNzAzT0)
      | sdtlseqdt0(sz00,X299) ),
    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(esk41_0,sdtlpdtrp0(xN,xi))
    & ~ aElementOf0(esk41_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__5034]) ).

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
% 0.00/0.12  % Problem    : NUM603+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n020.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 00:50:05 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 6.53/4.67  % Version  : CSE_E---1.7
% 6.53/4.67  % Problem  : theBenchmark.p
% 6.53/4.67  % SZS status Theorem for theBenchmark.p
% 6.53/4.67  % SZS output start CNFRefutation
% See solution above
% 6.53/4.68  % Total time : 3.825s
%------------------------------------------------------------------------------