%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV077+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : Wed Jul 20 20:30:03 EDT 2022

% Result   : Theorem 0.99s 1.19s
% Output   : CNFRefutation 0.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   24 (  12 unt;   0 def)
%            Number of atoms       :   86 (  12 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   75 (  13   ~;   1   |;  46   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

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

fof(cl5_nebula_array_0018,conjecture,
    ( ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1)) )
   => ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1))
      & ( n0 != pv40
       => ( leq(n0,pv31)
          & leq(pv31,minus(n5,n1)) ) )
      & ( n0 = pv40
       => true ) ) ) ).

fof(subgoal_0,plain,
    ( ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1)) )
   => leq(n0,pv31) ),
    inference(strip,[],[cl5_nebula_array_0018]) ).

fof(subgoal_1,plain,
    ( ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1))
      & leq(n0,pv31) )
   => leq(pv31,minus(n5,n1)) ),
    inference(strip,[],[cl5_nebula_array_0018]) ).

fof(subgoal_2,plain,
    ( ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1))
      & leq(n0,pv31)
      & leq(pv31,minus(n5,n1))
      & n0 != pv40 )
   => leq(n0,pv31) ),
    inference(strip,[],[cl5_nebula_array_0018]) ).

fof(subgoal_3,plain,
    ( ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1))
      & leq(n0,pv31)
      & leq(pv31,minus(n5,n1))
      & n0 != pv40
      & leq(n0,pv31) )
   => leq(pv31,minus(n5,n1)) ),
    inference(strip,[],[cl5_nebula_array_0018]) ).

fof(subgoal_4,plain,
    ( ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1))
      & leq(n0,pv31)
      & leq(pv31,minus(n5,n1))
      & ( n0 != pv40
       => ( leq(n0,pv31)
          & leq(pv31,minus(n5,n1)) ) )
      & n0 = pv40 )
   => true ),
    inference(strip,[],[cl5_nebula_array_0018]) ).

fof(negate_0_0,plain,
    ~ ( ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1)) )
     => leq(n0,pv31) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    $false,
    inference(canonicalize,[],[negate_0_0]) ).

cnf(refute_0_0,plain,
    $false,
    inference(canonicalize,[],[normalize_0_0]) ).

fof(negate_1_0,plain,
    ~ ( ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1))
        & leq(n0,pv31) )
     => leq(pv31,minus(n5,n1)) ),
    inference(negate,[],[subgoal_1]) ).

fof(normalize_1_0,plain,
    $false,
    inference(canonicalize,[],[negate_1_0]) ).

cnf(refute_1_0,plain,
    $false,
    inference(canonicalize,[],[normalize_1_0]) ).

fof(negate_2_0,plain,
    ~ ( ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1))
        & leq(n0,pv31)
        & leq(pv31,minus(n5,n1))
        & n0 != pv40 )
     => leq(n0,pv31) ),
    inference(negate,[],[subgoal_2]) ).

fof(normalize_2_0,plain,
    $false,
    inference(canonicalize,[],[negate_2_0]) ).

cnf(refute_2_0,plain,
    $false,
    inference(canonicalize,[],[normalize_2_0]) ).

fof(negate_3_0,plain,
    ~ ( ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1))
        & leq(n0,pv31)
        & leq(pv31,minus(n5,n1))
        & n0 != pv40
        & leq(n0,pv31) )
     => leq(pv31,minus(n5,n1)) ),
    inference(negate,[],[subgoal_3]) ).

fof(normalize_3_0,plain,
    $false,
    inference(canonicalize,[],[negate_3_0]) ).

cnf(refute_3_0,plain,
    $false,
    inference(canonicalize,[],[normalize_3_0]) ).

fof(negate_4_0,plain,
    ~ ( ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1))
        & leq(n0,pv31)
        & leq(pv31,minus(n5,n1))
        & ( n0 != pv40
         => ( leq(n0,pv31)
            & leq(pv31,minus(n5,n1)) ) )
        & n0 = pv40 )
     => true ),
    inference(negate,[],[subgoal_4]) ).

fof(normalize_4_0,plain,
    ( ~ true
    & n0 = pv40
    & leq(n0,pv31)
    & leq(pv31,minus(n5,n1))
    & ( n0 = pv40
      | ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1)) ) ) ),
    inference(canonicalize,[],[negate_4_0]) ).

fof(normalize_4_1,plain,
    true,
    inference(canonicalize,[],[ttrue]) ).

fof(normalize_4_2,plain,
    $false,
    inference(simplify,[],[normalize_4_0,normalize_4_1]) ).

cnf(refute_4_0,plain,
    $false,
    inference(canonicalize,[],[normalize_4_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SWV077+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.11  % 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 : Wed Jun 15 15:39:59 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.10/0.30  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.99/1.19  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.99/1.19  
% 0.99/1.19  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.99/1.19  
%------------------------------------------------------------------------------