%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV123+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n015.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 : Wed Jul 20 20:30:12 EDT 2022

% Result   : Theorem 0.43s 0.59s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :   33 (   2   ~;   0   |;  22   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ttrue,axiom,
    true ).

fof(quaternion_ds1_symm_0016,conjecture,
    ( geq(minus(n3,n1),n0)
   => ( geq(minus(n6,n1),n0)
     => ( ( geq(n2,n0)
          & geq(minus(n999,n1),n0) )
       => ( geq(minus(n6,n1),n0)
         => ( geq(minus(n6,n1),n0)
           => ( geq(minus(n6,n1),n0)
             => ( ( geq(minus(n3,n1),n0)
                  & geq(minus(n999,n1),n0) )
               => true ) ) ) ) ) ) ) ).

fof(subgoal_0,plain,
    ( ( geq(minus(n3,n1),n0)
      & geq(minus(n6,n1),n0)
      & geq(n2,n0)
      & geq(minus(n999,n1),n0)
      & geq(minus(n6,n1),n0)
      & geq(minus(n6,n1),n0)
      & geq(minus(n6,n1),n0)
      & geq(minus(n3,n1),n0)
      & geq(minus(n999,n1),n0) )
   => true ),
    inference(strip,[],[quaternion_ds1_symm_0016]) ).

fof(negate_0_0,plain,
    ~ ( ( geq(minus(n3,n1),n0)
        & geq(minus(n6,n1),n0)
        & geq(n2,n0)
        & geq(minus(n999,n1),n0)
        & geq(minus(n6,n1),n0)
        & geq(minus(n6,n1),n0)
        & geq(minus(n6,n1),n0)
        & geq(minus(n3,n1),n0)
        & geq(minus(n999,n1),n0) )
     => true ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ~ true
    & geq(minus(n3,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n999,n1),n0)
    & geq(n2,n0) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    true,
    inference(canonicalize,[],[ttrue]) ).

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
% 0.12/0.12  % Problem  : SWV123+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 03:29:09 EDT 2022
% 0.20/0.34  % CPUTime  : 
% 0.20/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.43/0.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.59  
% 0.43/0.59  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.43/0.60  
%------------------------------------------------------------------------------