%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : RNG125+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% 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  : 600s
% DateTime : Mon Jul 18 20:36:00 EDT 2022

% Result   : Theorem 0.19s 0.42s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   9 unt;   0 def)
%            Number of atoms       :   65 (  14 equ)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :   90 (  43   ~;  24   |;  23   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn   4   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2383,hypothesis,
    ~ ( ( ? [W0] :
            ( aElement0(W0)
            & sdtasdt0(xu,W0) = xa )
        | doDivides0(xu,xa)
        | aDivisorOf0(xu,xa) )
      & ( ? [W0] :
            ( aElement0(W0)
            & sdtasdt0(xu,W0) = xb )
        | doDivides0(xu,xb)
        | aDivisorOf0(xu,xb) ) ) ).

fof(m__2479,hypothesis,
    ~ ~ ( ? [W0] :
            ( aElement0(W0)
            & sdtasdt0(xu,W0) = xa )
        & doDivides0(xu,xa) ) ).

fof(m__2612,hypothesis,
    ~ ~ ( ? [W0] :
            ( aElement0(W0)
            & sdtasdt0(xu,W0) = xb )
        & doDivides0(xu,xb) ) ).

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,
    ( ( ~ aDivisorOf0(xu,xa)
      & ~ doDivides0(xu,xa)
      & ! [W0] :
          ( sdtasdt0(xu,W0) != xa
          | ~ aElement0(W0) ) )
    | ( ~ aDivisorOf0(xu,xb)
      & ~ doDivides0(xu,xb)
      & ! [W0] :
          ( sdtasdt0(xu,W0) != xb
          | ~ aElement0(W0) ) ) ),
    inference(canonicalize,[],[m__2383]) ).

fof(normalize_0_1,plain,
    ! [W0,W1] :
      ( ( ~ aDivisorOf0(xu,xa)
        | ~ aDivisorOf0(xu,xb) )
      & ( ~ aDivisorOf0(xu,xa)
        | ~ doDivides0(xu,xb) )
      & ( ~ aDivisorOf0(xu,xb)
        | ~ doDivides0(xu,xa) )
      & ( ~ doDivides0(xu,xa)
        | ~ doDivides0(xu,xb) )
      & ( sdtasdt0(xu,W0) != xa
        | ~ aDivisorOf0(xu,xb)
        | ~ aElement0(W0) )
      & ( sdtasdt0(xu,W0) != xa
        | ~ aElement0(W0)
        | ~ doDivides0(xu,xb) )
      & ( sdtasdt0(xu,W1) != xb
        | ~ aDivisorOf0(xu,xa)
        | ~ aElement0(W1) )
      & ( sdtasdt0(xu,W1) != xb
        | ~ aElement0(W1)
        | ~ doDivides0(xu,xa) )
      & ( sdtasdt0(xu,W0) != xa
        | sdtasdt0(xu,W1) != xb
        | ~ aElement0(W0)
        | ~ aElement0(W1) ) ),
    inference(clausify,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ( ~ doDivides0(xu,xa)
    | ~ doDivides0(xu,xb) ),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ( doDivides0(xu,xa)
    & ? [W0] :
        ( sdtasdt0(xu,W0) = xa
        & aElement0(W0) ) ),
    inference(canonicalize,[],[m__2479]) ).

fof(normalize_0_4,plain,
    doDivides0(xu,xa),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ( doDivides0(xu,xb)
    & ? [W0] :
        ( sdtasdt0(xu,W0) = xb
        & aElement0(W0) ) ),
    inference(canonicalize,[],[m__2612]) ).

fof(normalize_0_6,plain,
    doDivides0(xu,xb),
    inference(conjunct,[],[normalize_0_5]) ).

cnf(refute_0_0,plain,
    ( ~ doDivides0(xu,xa)
    | ~ doDivides0(xu,xb) ),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    doDivides0(xu,xa),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ~ doDivides0(xu,xb),
    inference(resolve,[$cnf( doDivides0(xu,xa) )],[refute_0_1,refute_0_0]) ).

cnf(refute_0_3,plain,
    doDivides0(xu,xb),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( doDivides0(xu,xb) )],[refute_0_3,refute_0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG125+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 : Mon May 30 14:47:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.42  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42  
% 0.19/0.42  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.42  
%------------------------------------------------------------------------------