%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : RNG124+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n032.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 20:36:00 EDT 2022

% Result   : Theorem 54.52s 54.71s
% Output   : CNFRefutation 54.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  12 unt;   0 def)
%            Number of atoms       :   50 (  19 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   46 (  19   ~;  15   |;  11   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2273,hypothesis,
    ( aElementOf0(xu,xI)
    & xu != sz00
    & ! [W0] :
        ( ( aElementOf0(W0,xI)
          & W0 != sz00 )
       => ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ) ).

fof(m__2666,hypothesis,
    ( aElement0(xq)
    & aElement0(xr)
    & xb = sdtpldt0(sdtasdt0(xq,xu),xr)
    & ( xr = sz00
      | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ) ).

fof(m__2673,hypothesis,
    xr != sz00 ).

fof(m__2729,hypothesis,
    aElementOf0(xr,xI) ).

fof(m__,conjecture,
    $false ).

fof(subgoal_0,plain,
    $false,
    inference(strip,[],[m__]) ).

fof(negate_0_0,plain,
    ~ $false,
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( xb = sdtpldt0(sdtasdt0(xq,xu),xr)
    & aElement0(xq)
    & aElement0(xr)
    & ( xr = sz00
      | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
    inference(canonicalize,[],[m__2666]) ).

fof(normalize_0_1,plain,
    ( xr = sz00
    | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    xr != sz00,
    inference(canonicalize,[],[m__2673]) ).

fof(normalize_0_3,plain,
    ( xu != sz00
    & aElementOf0(xu,xI)
    & ! [W0] :
        ( ~ aElementOf0(W0,xI)
        | ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu))
        | W0 = sz00 ) ),
    inference(canonicalize,[],[m__2273]) ).

fof(normalize_0_4,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,xI)
      | ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu))
      | W0 = sz00 ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,xI)
      | ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu))
      | W0 = sz00 ),
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    aElementOf0(xr,xI),
    inference(canonicalize,[],[m__2729]) ).

cnf(refute_0_0,plain,
    ( xr = sz00
    | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    xr != sz00,
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_2,plain,
    iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
    inference(resolve,[$cnf( $equal(xr,sz00) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ aElementOf0(W0,xI)
    | ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu))
    | W0 = sz00 ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_4,plain,
    ( ~ aElementOf0(xr,xI)
    | ~ iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
    | xr = sz00 ),
    inference(subst,[],[refute_0_3:[bind(W0,$fot(xr))]]) ).

cnf(refute_0_5,plain,
    ( ~ aElementOf0(xr,xI)
    | xr = sz00 ),
    inference(resolve,[$cnf( iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    aElementOf0(xr,xI),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_7,plain,
    xr = sz00,
    inference(resolve,[$cnf( aElementOf0(xr,xI) )],[refute_0_6,refute_0_5]) ).

cnf(refute_0_8,plain,
    $false,
    inference(resolve,[$cnf( $equal(xr,sz00) )],[refute_0_7,refute_0_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : RNG124+1 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.11  % Command  : metis --show proof --show saturation %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Mon May 30 20:26:42 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.10/0.30  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 54.52/54.71  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.52/54.71  
% 54.52/54.71  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 54.52/54.71  
%------------------------------------------------------------------------------