TSTP Solution File: NUM634+3 by Metis---2.4

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : NUM634+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n008.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 12:28:26 EDT 2022

% Result   : Theorem 0.20s 0.38s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   45 (  10 equ)
%            Maximal formula atoms :   13 (   5 avg)
%            Number of connectives :   41 (   5   ~;   3   |;  24   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn   9   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__3462,hypothesis,
    xK != sz00 ).

fof(m__3520,hypothesis,
    ~ ( xK != sz00 ) ).

fof(m__,conjecture,
    ? [W0] :
      ( aElementOf0(W0,xT)
      & ? [W1] :
          ( ( ( aSet0(W1)
              & ! [W2] :
                  ( aElementOf0(W2,W1)
                 => aElementOf0(W2,xS) ) )
            | aSubsetOf0(W1,xS) )
          & isCountable0(W1)
          & ! [W2] :
              ( ( aSet0(W2)
                & ! [W3] :
                    ( aElementOf0(W3,W2)
                   => aElementOf0(W3,W1) )
                & aSubsetOf0(W2,W1)
                & sbrdtbr0(W2) = xK
                & aElementOf0(W2,slbdtsldtrb0(W1,xK)) )
             => sdtlpdtrp0(xc,W2) = W0 ) ) ) ).

fof(subgoal_0,plain,
    ? [W0] :
      ( aElementOf0(W0,xT)
      & ? [W1] :
          ( ( ( aSet0(W1)
              & ! [W2] :
                  ( aElementOf0(W2,W1)
                 => aElementOf0(W2,xS) ) )
            | aSubsetOf0(W1,xS) )
          & isCountable0(W1)
          & ! [W2] :
              ( ( aSet0(W2)
                & ! [W3] :
                    ( aElementOf0(W3,W2)
                   => aElementOf0(W3,W1) )
                & aSubsetOf0(W2,W1)
                & sbrdtbr0(W2) = xK
                & aElementOf0(W2,slbdtsldtrb0(W1,xK)) )
             => sdtlpdtrp0(xc,W2) = W0 ) ) ),
    inference(strip,[],[m__]) ).

fof(negate_0_0,plain,
    ~ ? [W0] :
        ( aElementOf0(W0,xT)
        & ? [W1] :
            ( ( ( aSet0(W1)
                & ! [W2] :
                    ( aElementOf0(W2,W1)
                   => aElementOf0(W2,xS) ) )
              | aSubsetOf0(W1,xS) )
            & isCountable0(W1)
            & ! [W2] :
                ( ( aSet0(W2)
                  & ! [W3] :
                      ( aElementOf0(W3,W2)
                     => aElementOf0(W3,W1) )
                  & aSubsetOf0(W2,W1)
                  & sbrdtbr0(W2) = xK
                  & aElementOf0(W2,slbdtsldtrb0(W1,xK)) )
               => sdtlpdtrp0(xc,W2) = W0 ) ) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    xK = sz00,
    inference(canonicalize,[],[m__3520]) ).

fof(normalize_0_1,plain,
    xK != sz00,
    inference(canonicalize,[],[m__3462]) ).

fof(normalize_0_2,plain,
    $false,
    inference(simplify,[],[normalize_0_0,normalize_0_1]) ).

cnf(refute_0_0,plain,
    $false,
    inference(canonicalize,[],[normalize_0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM634+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jul  6 15:16:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.38  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.38  
% 0.20/0.38  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.38  
%------------------------------------------------------------------------------