TSTP Solution File: SWV222+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV222+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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  : 300s
% DateTime : Wed May  1 04:02:53 EDT 2024

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :  797 ( 698 equ)
%            Maximal formula atoms :  158 (  39 avg)
%            Number of connectives : 1349 ( 572   ~; 245   |; 515   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   53 (  20 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-3 aty)
%            Number of variables   :   45 (  37   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f345,plain,
    $false,
    inference(subsumption_resolution,[],[f344,f259]) ).

fof(f259,plain,
    sQ2_eqProxy(sK0,sK1),
    inference(equality_proxy_replacement,[],[f203,f257]) ).

fof(f257,plain,
    ! [X0,X1] :
      ( sQ2_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).

fof(f203,plain,
    sK0 = sK1,
    inference(definition_unfolding,[],[f157,f158]) ).

fof(f158,plain,
    n0 = sK1,
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ( n0 != a_select2(xinit_noise,n0)
    & n3 = sK1
    & n1 = sK0
    & n0 = sK1
    & n0 = sK0
    & ( n5 != sK1
      | n5 != sK0 )
    & ( n5 != sK0
      | n4 != sK1 )
    & ( n5 != sK1
      | n4 != sK0 )
    & ( n4 != sK1
      | n4 != sK0 )
    & ( n5 != sK0
      | n3 != sK1 )
    & ( n4 != sK0
      | n3 != sK1 )
    & ( n5 != sK1
      | n3 != sK0 )
    & ( n4 != sK1
      | n3 != sK0 )
    & ( n3 != sK1
      | n3 != sK0 )
    & ( n5 != sK0
      | n2 != sK1 )
    & ( n4 != sK0
      | n2 != sK1 )
    & ( n3 != sK0
      | n2 != sK1 )
    & ( n5 != sK1
      | n2 != sK0 )
    & ( n4 != sK1
      | n2 != sK0 )
    & ( n3 != sK1
      | n2 != sK0 )
    & ( n2 != sK1
      | n2 != sK0 )
    & ( n5 != sK0
      | n1 != sK1 )
    & ( n4 != sK0
      | n1 != sK1 )
    & ( n3 != sK0
      | n1 != sK1 )
    & ( n2 != sK0
      | n1 != sK1 )
    & ( n5 != sK1
      | n1 != sK0 )
    & ( n4 != sK1
      | n1 != sK0 )
    & ( n3 != sK1
      | n1 != sK0 )
    & ( n2 != sK1
      | n1 != sK0 )
    & ( n1 != sK1
      | n1 != sK0 )
    & ( n5 != sK0
      | n0 != sK1 )
    & ( n4 != sK0
      | n0 != sK1 )
    & ( n3 != sK0
      | n0 != sK1 )
    & ( n2 != sK0
      | n0 != sK1 )
    & ( n1 != sK0
      | n0 != sK1 )
    & ( n5 != sK1
      | n0 != sK0 )
    & ( n4 != sK1
      | n0 != sK0 )
    & ( n3 != sK1
      | n0 != sK0 )
    & ( n2 != sK1
      | n0 != sK0 )
    & ( n1 != sK1
      | n0 != sK0 )
    & leq(sK1,n5)
    & leq(sK0,n5)
    & leq(n0,sK1)
    & leq(n0,sK0)
    & ! [X2,X3] :
        ( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
        | ~ leq(X3,n2)
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2) )
    & ! [X4,X5] :
        ( a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4)
        | ~ leq(X5,n5)
        | ~ leq(X4,n5)
        | ~ leq(n0,X5)
        | ~ leq(n0,X4) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f111,f112]) ).

fof(f112,plain,
    ( ? [X0,X1] :
        ( n0 != a_select2(xinit_noise,n0)
        & n3 = X1
        & n1 = X0
        & n0 = X1
        & n0 = X0
        & ( n5 != X1
          | n5 != X0 )
        & ( n5 != X0
          | n4 != X1 )
        & ( n5 != X1
          | n4 != X0 )
        & ( n4 != X1
          | n4 != X0 )
        & ( n5 != X0
          | n3 != X1 )
        & ( n4 != X0
          | n3 != X1 )
        & ( n5 != X1
          | n3 != X0 )
        & ( n4 != X1
          | n3 != X0 )
        & ( n3 != X1
          | n3 != X0 )
        & ( n5 != X0
          | n2 != X1 )
        & ( n4 != X0
          | n2 != X1 )
        & ( n3 != X0
          | n2 != X1 )
        & ( n5 != X1
          | n2 != X0 )
        & ( n4 != X1
          | n2 != X0 )
        & ( n3 != X1
          | n2 != X0 )
        & ( n2 != X1
          | n2 != X0 )
        & ( n5 != X0
          | n1 != X1 )
        & ( n4 != X0
          | n1 != X1 )
        & ( n3 != X0
          | n1 != X1 )
        & ( n2 != X0
          | n1 != X1 )
        & ( n5 != X1
          | n1 != X0 )
        & ( n4 != X1
          | n1 != X0 )
        & ( n3 != X1
          | n1 != X0 )
        & ( n2 != X1
          | n1 != X0 )
        & ( n1 != X1
          | n1 != X0 )
        & ( n5 != X0
          | n0 != X1 )
        & ( n4 != X0
          | n0 != X1 )
        & ( n3 != X0
          | n0 != X1 )
        & ( n2 != X0
          | n0 != X1 )
        & ( n1 != X0
          | n0 != X1 )
        & ( n5 != X1
          | n0 != X0 )
        & ( n4 != X1
          | n0 != X0 )
        & ( n3 != X1
          | n0 != X0 )
        & ( n2 != X1
          | n0 != X0 )
        & ( n1 != X1
          | n0 != X0 )
        & leq(X1,n5)
        & leq(X0,n5)
        & leq(n0,X1)
        & leq(n0,X0) )
   => ( n0 != a_select2(xinit_noise,n0)
      & n3 = sK1
      & n1 = sK0
      & n0 = sK1
      & n0 = sK0
      & ( n5 != sK1
        | n5 != sK0 )
      & ( n5 != sK0
        | n4 != sK1 )
      & ( n5 != sK1
        | n4 != sK0 )
      & ( n4 != sK1
        | n4 != sK0 )
      & ( n5 != sK0
        | n3 != sK1 )
      & ( n4 != sK0
        | n3 != sK1 )
      & ( n5 != sK1
        | n3 != sK0 )
      & ( n4 != sK1
        | n3 != sK0 )
      & ( n3 != sK1
        | n3 != sK0 )
      & ( n5 != sK0
        | n2 != sK1 )
      & ( n4 != sK0
        | n2 != sK1 )
      & ( n3 != sK0
        | n2 != sK1 )
      & ( n5 != sK1
        | n2 != sK0 )
      & ( n4 != sK1
        | n2 != sK0 )
      & ( n3 != sK1
        | n2 != sK0 )
      & ( n2 != sK1
        | n2 != sK0 )
      & ( n5 != sK0
        | n1 != sK1 )
      & ( n4 != sK0
        | n1 != sK1 )
      & ( n3 != sK0
        | n1 != sK1 )
      & ( n2 != sK0
        | n1 != sK1 )
      & ( n5 != sK1
        | n1 != sK0 )
      & ( n4 != sK1
        | n1 != sK0 )
      & ( n3 != sK1
        | n1 != sK0 )
      & ( n2 != sK1
        | n1 != sK0 )
      & ( n1 != sK1
        | n1 != sK0 )
      & ( n5 != sK0
        | n0 != sK1 )
      & ( n4 != sK0
        | n0 != sK1 )
      & ( n3 != sK0
        | n0 != sK1 )
      & ( n2 != sK0
        | n0 != sK1 )
      & ( n1 != sK0
        | n0 != sK1 )
      & ( n5 != sK1
        | n0 != sK0 )
      & ( n4 != sK1
        | n0 != sK0 )
      & ( n3 != sK1
        | n0 != sK0 )
      & ( n2 != sK1
        | n0 != sK0 )
      & ( n1 != sK1
        | n0 != sK0 )
      & leq(sK1,n5)
      & leq(sK0,n5)
      & leq(n0,sK1)
      & leq(n0,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f111,plain,
    ( ? [X0,X1] :
        ( n0 != a_select2(xinit_noise,n0)
        & n3 = X1
        & n1 = X0
        & n0 = X1
        & n0 = X0
        & ( n5 != X1
          | n5 != X0 )
        & ( n5 != X0
          | n4 != X1 )
        & ( n5 != X1
          | n4 != X0 )
        & ( n4 != X1
          | n4 != X0 )
        & ( n5 != X0
          | n3 != X1 )
        & ( n4 != X0
          | n3 != X1 )
        & ( n5 != X1
          | n3 != X0 )
        & ( n4 != X1
          | n3 != X0 )
        & ( n3 != X1
          | n3 != X0 )
        & ( n5 != X0
          | n2 != X1 )
        & ( n4 != X0
          | n2 != X1 )
        & ( n3 != X0
          | n2 != X1 )
        & ( n5 != X1
          | n2 != X0 )
        & ( n4 != X1
          | n2 != X0 )
        & ( n3 != X1
          | n2 != X0 )
        & ( n2 != X1
          | n2 != X0 )
        & ( n5 != X0
          | n1 != X1 )
        & ( n4 != X0
          | n1 != X1 )
        & ( n3 != X0
          | n1 != X1 )
        & ( n2 != X0
          | n1 != X1 )
        & ( n5 != X1
          | n1 != X0 )
        & ( n4 != X1
          | n1 != X0 )
        & ( n3 != X1
          | n1 != X0 )
        & ( n2 != X1
          | n1 != X0 )
        & ( n1 != X1
          | n1 != X0 )
        & ( n5 != X0
          | n0 != X1 )
        & ( n4 != X0
          | n0 != X1 )
        & ( n3 != X0
          | n0 != X1 )
        & ( n2 != X0
          | n0 != X1 )
        & ( n1 != X0
          | n0 != X1 )
        & ( n5 != X1
          | n0 != X0 )
        & ( n4 != X1
          | n0 != X0 )
        & ( n3 != X1
          | n0 != X0 )
        & ( n2 != X1
          | n0 != X0 )
        & ( n1 != X1
          | n0 != X0 )
        & leq(X1,n5)
        & leq(X0,n5)
        & leq(n0,X1)
        & leq(n0,X0) )
    & ! [X2,X3] :
        ( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
        | ~ leq(X3,n2)
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2) )
    & ! [X4,X5] :
        ( a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4)
        | ~ leq(X5,n5)
        | ~ leq(X4,n5)
        | ~ leq(n0,X5)
        | ~ leq(n0,X4) ) ),
    inference(rectify,[],[f89]) ).

fof(f89,plain,
    ( ? [X4,X5] :
        ( n0 != a_select2(xinit_noise,n0)
        & n3 = X5
        & n1 = X4
        & n0 = X5
        & n0 = X4
        & ( n5 != X5
          | n5 != X4 )
        & ( n5 != X4
          | n4 != X5 )
        & ( n5 != X5
          | n4 != X4 )
        & ( n4 != X5
          | n4 != X4 )
        & ( n5 != X4
          | n3 != X5 )
        & ( n4 != X4
          | n3 != X5 )
        & ( n5 != X5
          | n3 != X4 )
        & ( n4 != X5
          | n3 != X4 )
        & ( n3 != X5
          | n3 != X4 )
        & ( n5 != X4
          | n2 != X5 )
        & ( n4 != X4
          | n2 != X5 )
        & ( n3 != X4
          | n2 != X5 )
        & ( n5 != X5
          | n2 != X4 )
        & ( n4 != X5
          | n2 != X4 )
        & ( n3 != X5
          | n2 != X4 )
        & ( n2 != X5
          | n2 != X4 )
        & ( n5 != X4
          | n1 != X5 )
        & ( n4 != X4
          | n1 != X5 )
        & ( n3 != X4
          | n1 != X5 )
        & ( n2 != X4
          | n1 != X5 )
        & ( n5 != X5
          | n1 != X4 )
        & ( n4 != X5
          | n1 != X4 )
        & ( n3 != X5
          | n1 != X4 )
        & ( n2 != X5
          | n1 != X4 )
        & ( n1 != X5
          | n1 != X4 )
        & ( n5 != X4
          | n0 != X5 )
        & ( n4 != X4
          | n0 != X5 )
        & ( n3 != X4
          | n0 != X5 )
        & ( n2 != X4
          | n0 != X5 )
        & ( n1 != X4
          | n0 != X5 )
        & ( n5 != X5
          | n0 != X4 )
        & ( n4 != X5
          | n0 != X4 )
        & ( n3 != X5
          | n0 != X4 )
        & ( n2 != X5
          | n0 != X4 )
        & ( n1 != X5
          | n0 != X4 )
        & leq(X5,n5)
        & leq(X4,n5)
        & leq(n0,X5)
        & leq(n0,X4) )
    & ! [X0,X1] :
        ( a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0)
        | ~ leq(X1,n2)
        | ~ leq(X0,n2)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & ! [X2,X3] :
        ( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
        | ~ leq(X3,n5)
        | ~ leq(X2,n5)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2) ) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ( ? [X4,X5] :
        ( n0 != a_select2(xinit_noise,n0)
        & n3 = X5
        & n1 = X4
        & n0 = X5
        & n0 = X4
        & ( n5 != X5
          | n5 != X4 )
        & ( n5 != X4
          | n4 != X5 )
        & ( n5 != X5
          | n4 != X4 )
        & ( n4 != X5
          | n4 != X4 )
        & ( n5 != X4
          | n3 != X5 )
        & ( n4 != X4
          | n3 != X5 )
        & ( n5 != X5
          | n3 != X4 )
        & ( n4 != X5
          | n3 != X4 )
        & ( n3 != X5
          | n3 != X4 )
        & ( n5 != X4
          | n2 != X5 )
        & ( n4 != X4
          | n2 != X5 )
        & ( n3 != X4
          | n2 != X5 )
        & ( n5 != X5
          | n2 != X4 )
        & ( n4 != X5
          | n2 != X4 )
        & ( n3 != X5
          | n2 != X4 )
        & ( n2 != X5
          | n2 != X4 )
        & ( n5 != X4
          | n1 != X5 )
        & ( n4 != X4
          | n1 != X5 )
        & ( n3 != X4
          | n1 != X5 )
        & ( n2 != X4
          | n1 != X5 )
        & ( n5 != X5
          | n1 != X4 )
        & ( n4 != X5
          | n1 != X4 )
        & ( n3 != X5
          | n1 != X4 )
        & ( n2 != X5
          | n1 != X4 )
        & ( n1 != X5
          | n1 != X4 )
        & ( n5 != X4
          | n0 != X5 )
        & ( n4 != X4
          | n0 != X5 )
        & ( n3 != X4
          | n0 != X5 )
        & ( n2 != X4
          | n0 != X5 )
        & ( n1 != X4
          | n0 != X5 )
        & ( n5 != X5
          | n0 != X4 )
        & ( n4 != X5
          | n0 != X4 )
        & ( n3 != X5
          | n0 != X4 )
        & ( n2 != X5
          | n0 != X4 )
        & ( n1 != X5
          | n0 != X4 )
        & leq(X5,n5)
        & leq(X4,n5)
        & leq(n0,X5)
        & leq(n0,X4) )
    & ! [X0,X1] :
        ( a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0)
        | ~ leq(X1,n2)
        | ~ leq(X0,n2)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & ! [X2,X3] :
        ( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
        | ~ leq(X3,n5)
        | ~ leq(X2,n5)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2) ) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,plain,
    ~ ( ( ! [X0,X1] :
            ( ( leq(X1,n2)
              & leq(X0,n2)
              & leq(n0,X1)
              & leq(n0,X0) )
           => a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) )
        & ! [X2,X3] :
            ( ( leq(X3,n5)
              & leq(X2,n5)
              & leq(n0,X3)
              & leq(n0,X2) )
           => a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) ) )
     => ! [X4,X5] :
          ( ( leq(X5,n5)
            & leq(X4,n5)
            & leq(n0,X5)
            & leq(n0,X4) )
         => ( ( n3 = X5
              & n1 = X4
              & n0 = X5
              & n0 = X4
              & ~ ( n5 = X5
                  & n5 = X4 )
              & ~ ( n5 = X4
                  & n4 = X5 )
              & ~ ( n5 = X5
                  & n4 = X4 )
              & ~ ( n4 = X5
                  & n4 = X4 )
              & ~ ( n5 = X4
                  & n3 = X5 )
              & ~ ( n4 = X4
                  & n3 = X5 )
              & ~ ( n5 = X5
                  & n3 = X4 )
              & ~ ( n4 = X5
                  & n3 = X4 )
              & ~ ( n3 = X5
                  & n3 = X4 )
              & ~ ( n5 = X4
                  & n2 = X5 )
              & ~ ( n4 = X4
                  & n2 = X5 )
              & ~ ( n3 = X4
                  & n2 = X5 )
              & ~ ( n5 = X5
                  & n2 = X4 )
              & ~ ( n4 = X5
                  & n2 = X4 )
              & ~ ( n3 = X5
                  & n2 = X4 )
              & ~ ( n2 = X5
                  & n2 = X4 )
              & ~ ( n5 = X4
                  & n1 = X5 )
              & ~ ( n4 = X4
                  & n1 = X5 )
              & ~ ( n3 = X4
                  & n1 = X5 )
              & ~ ( n2 = X4
                  & n1 = X5 )
              & ~ ( n5 = X5
                  & n1 = X4 )
              & ~ ( n4 = X5
                  & n1 = X4 )
              & ~ ( n3 = X5
                  & n1 = X4 )
              & ~ ( n2 = X5
                  & n1 = X4 )
              & ~ ( n1 = X5
                  & n1 = X4 )
              & ~ ( n5 = X4
                  & n0 = X5 )
              & ~ ( n4 = X4
                  & n0 = X5 )
              & ~ ( n3 = X4
                  & n0 = X5 )
              & ~ ( n2 = X4
                  & n0 = X5 )
              & ~ ( n1 = X4
                  & n0 = X5 )
              & ~ ( n5 = X5
                  & n0 = X4 )
              & ~ ( n4 = X5
                  & n0 = X4 )
              & ~ ( n3 = X5
                  & n0 = X4 )
              & ~ ( n2 = X5
                  & n0 = X4 )
              & ~ ( n1 = X5
                  & n0 = X4 ) )
           => n0 = a_select2(xinit_noise,n0) ) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [X3,X19] :
            ( ( leq(X19,n2)
              & leq(X3,n2)
              & leq(n0,X19)
              & leq(n0,X3) )
           => a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
        & ! [X13,X17] :
            ( ( leq(X17,n5)
              & leq(X13,n5)
              & leq(n0,X17)
              & leq(n0,X13) )
           => a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) ) )
     => ! [X20,X21] :
          ( ( leq(X21,n5)
            & leq(X20,n5)
            & leq(n0,X21)
            & leq(n0,X20) )
         => ( ( n3 = X21
              & n1 = X20
              & n0 = X21
              & n0 = X20
              & ~ ( n5 = X21
                  & n5 = X20 )
              & ~ ( n5 = X20
                  & n4 = X21 )
              & ~ ( n5 = X21
                  & n4 = X20 )
              & ~ ( n4 = X21
                  & n4 = X20 )
              & ~ ( n5 = X20
                  & n3 = X21 )
              & ~ ( n4 = X20
                  & n3 = X21 )
              & ~ ( n5 = X21
                  & n3 = X20 )
              & ~ ( n4 = X21
                  & n3 = X20 )
              & ~ ( n3 = X21
                  & n3 = X20 )
              & ~ ( n5 = X20
                  & n2 = X21 )
              & ~ ( n4 = X20
                  & n2 = X21 )
              & ~ ( n3 = X20
                  & n2 = X21 )
              & ~ ( n5 = X21
                  & n2 = X20 )
              & ~ ( n4 = X21
                  & n2 = X20 )
              & ~ ( n3 = X21
                  & n2 = X20 )
              & ~ ( n2 = X21
                  & n2 = X20 )
              & ~ ( n5 = X20
                  & n1 = X21 )
              & ~ ( n4 = X20
                  & n1 = X21 )
              & ~ ( n3 = X20
                  & n1 = X21 )
              & ~ ( n2 = X20
                  & n1 = X21 )
              & ~ ( n5 = X21
                  & n1 = X20 )
              & ~ ( n4 = X21
                  & n1 = X20 )
              & ~ ( n3 = X21
                  & n1 = X20 )
              & ~ ( n2 = X21
                  & n1 = X20 )
              & ~ ( n1 = X21
                  & n1 = X20 )
              & ~ ( n5 = X20
                  & n0 = X21 )
              & ~ ( n4 = X20
                  & n0 = X21 )
              & ~ ( n3 = X20
                  & n0 = X21 )
              & ~ ( n2 = X20
                  & n0 = X21 )
              & ~ ( n1 = X20
                  & n0 = X21 )
              & ~ ( n5 = X21
                  & n0 = X20 )
              & ~ ( n4 = X21
                  & n0 = X20 )
              & ~ ( n3 = X21
                  & n0 = X20 )
              & ~ ( n2 = X21
                  & n0 = X20 )
              & ~ ( n1 = X21
                  & n0 = X20 ) )
           => n0 = a_select2(xinit_noise,n0) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ! [X3,X19] :
          ( ( leq(X19,n2)
            & leq(X3,n2)
            & leq(n0,X19)
            & leq(n0,X3) )
         => a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
      & ! [X13,X17] :
          ( ( leq(X17,n5)
            & leq(X13,n5)
            & leq(n0,X17)
            & leq(n0,X13) )
         => a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) ) )
   => ! [X20,X21] :
        ( ( leq(X21,n5)
          & leq(X20,n5)
          & leq(n0,X21)
          & leq(n0,X20) )
       => ( ( n3 = X21
            & n1 = X20
            & n0 = X21
            & n0 = X20
            & ~ ( n5 = X21
                & n5 = X20 )
            & ~ ( n5 = X20
                & n4 = X21 )
            & ~ ( n5 = X21
                & n4 = X20 )
            & ~ ( n4 = X21
                & n4 = X20 )
            & ~ ( n5 = X20
                & n3 = X21 )
            & ~ ( n4 = X20
                & n3 = X21 )
            & ~ ( n5 = X21
                & n3 = X20 )
            & ~ ( n4 = X21
                & n3 = X20 )
            & ~ ( n3 = X21
                & n3 = X20 )
            & ~ ( n5 = X20
                & n2 = X21 )
            & ~ ( n4 = X20
                & n2 = X21 )
            & ~ ( n3 = X20
                & n2 = X21 )
            & ~ ( n5 = X21
                & n2 = X20 )
            & ~ ( n4 = X21
                & n2 = X20 )
            & ~ ( n3 = X21
                & n2 = X20 )
            & ~ ( n2 = X21
                & n2 = X20 )
            & ~ ( n5 = X20
                & n1 = X21 )
            & ~ ( n4 = X20
                & n1 = X21 )
            & ~ ( n3 = X20
                & n1 = X21 )
            & ~ ( n2 = X20
                & n1 = X21 )
            & ~ ( n5 = X21
                & n1 = X20 )
            & ~ ( n4 = X21
                & n1 = X20 )
            & ~ ( n3 = X21
                & n1 = X20 )
            & ~ ( n2 = X21
                & n1 = X20 )
            & ~ ( n1 = X21
                & n1 = X20 )
            & ~ ( n5 = X20
                & n0 = X21 )
            & ~ ( n4 = X20
                & n0 = X21 )
            & ~ ( n3 = X20
                & n0 = X21 )
            & ~ ( n2 = X20
                & n0 = X21 )
            & ~ ( n1 = X20
                & n0 = X21 )
            & ~ ( n5 = X21
                & n0 = X20 )
            & ~ ( n4 = X21
                & n0 = X20 )
            & ~ ( n3 = X21
                & n0 = X20 )
            & ~ ( n2 = X21
                & n0 = X20 )
            & ~ ( n1 = X21
                & n0 = X20 ) )
         => n0 = a_select2(xinit_noise,n0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.cdpsvYsYTY/Vampire---4.8_19276',quaternion_ds1_symm_0441) ).

fof(f157,plain,
    n0 = sK0,
    inference(cnf_transformation,[],[f113]) ).

fof(f344,plain,
    ~ sQ2_eqProxy(sK0,sK1),
    inference(subsumption_resolution,[],[f268,f310]) ).

fof(f310,plain,
    ! [X0] : sQ2_eqProxy(X0,X0),
    inference(equality_proxy_axiom,[],[f257]) ).

fof(f268,plain,
    ( ~ sQ2_eqProxy(sK1,sK1)
    | ~ sQ2_eqProxy(sK0,sK1) ),
    inference(equality_proxy_replacement,[],[f208,f257,f257]) ).

fof(f208,plain,
    ( sK1 != sK1
    | sK0 != sK1 ),
    inference(definition_unfolding,[],[f148,f160,f160]) ).

fof(f160,plain,
    n3 = sK1,
    inference(cnf_transformation,[],[f113]) ).

fof(f148,plain,
    ( n3 != sK1
    | n3 != sK0 ),
    inference(cnf_transformation,[],[f113]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV222+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:26:48 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.cdpsvYsYTY/Vampire---4.8_19276
% 0.58/0.76  % (19538)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.76  % (19537)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.76  % (19531)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.76  % (19533)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76  % (19534)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.76  % (19535)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.76  % (19532)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.76  % (19536)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.76  % (19538)First to succeed.
% 0.58/0.76  % (19534)Also succeeded, but the first one will report.
% 0.58/0.76  % (19538)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Theorem for Vampire---4
% 0.58/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77  % (19538)------------------------------
% 0.58/0.77  % (19538)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77  % (19538)Termination reason: Refutation
% 0.58/0.77  
% 0.58/0.77  % (19538)Memory used [KB]: 1165
% 0.58/0.77  % (19538)Time elapsed: 0.004 s
% 0.58/0.77  % (19538)Instructions burned: 10 (million)
% 0.58/0.77  % (19538)------------------------------
% 0.58/0.77  % (19538)------------------------------
% 0.58/0.77  % (19527)Success in time 0.394 s
% 0.58/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------