TSTP Solution File: SWV222+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV222+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n028.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 Aug 31 18:55:51 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   3 unt;   0 def)
%            Number of atoms       :  788 ( 695 equ)
%            Maximal formula atoms :  158 (  60 avg)
%            Number of connectives : 1344 ( 569   ~; 244   |; 515   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   53 (  31 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-3 aty)
%            Number of variables   :   42 (  34   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f588,plain,
    $false,
    inference(trivial_inequality_removal,[],[f508]) ).

fof(f508,plain,
    ( sK16 != sK16
    | sK15 != sK15 ),
    inference(definition_unfolding,[],[f336,f343,f338]) ).

fof(f338,plain,
    n0 = sK15,
    inference(cnf_transformation,[],[f206]) ).

fof(f206,plain,
    ( ! [X0,X1] :
        ( ~ leq(n0,X0)
        | a_select3(q_ds1_filter,X1,X0) = a_select3(q_ds1_filter,X0,X1)
        | ~ leq(n0,X1)
        | ~ leq(X1,n5)
        | ~ leq(X0,n5) )
    & ( n0 != sK16
      | n5 != sK15 )
    & n0 != a_select2(xinit_noise,n0)
    & ( n3 != sK15
      | n0 != sK16 )
    & ( n3 != sK15
      | n5 != sK16 )
    & leq(sK15,n5)
    & ( n1 != sK15
      | n0 != sK16 )
    & ( n2 != sK15
      | n1 != sK16 )
    & ( n0 != sK15
      | n5 != sK16 )
    & ( n4 != sK15
      | n3 != sK16 )
    & ( n5 != sK15
      | n1 != sK16 )
    & ( n3 != sK16
      | n0 != sK15 )
    & ( n5 != sK16
      | n5 != sK15 )
    & ( n1 != sK15
      | n2 != sK16 )
    & n1 = sK16
    & ( n2 != sK15
      | n4 != sK16 )
    & ( n1 != sK16
      | n1 != sK15 )
    & ( n2 != sK15
      | n2 != sK16 )
    & ( n2 != sK16
      | n4 != sK15 )
    & n0 = sK15
    & ( n1 != sK15
      | n5 != sK16 )
    & ( n1 != sK16
      | n0 != sK15 )
    & ( n5 != sK16
      | n4 != sK15 )
    & ( n3 != sK15
      | n3 != sK16 )
    & ( n3 != sK15
      | n1 != sK16 )
    & leq(sK16,n5)
    & ( n5 != sK15
      | n4 != sK16 )
    & ( n3 != sK15
      | n2 != sK16 )
    & ( n0 != sK16
      | n2 != sK15 )
    & ( n0 != sK15
      | n4 != sK16 )
    & ( n3 != sK16
      | n5 != sK15 )
    & ( n2 != sK15
      | n3 != sK16 )
    & ( n2 != sK16
      | n5 != sK15 )
    & ( n4 != sK15
      | n1 != sK16 )
    & ( n4 != sK16
      | n1 != sK15 )
    & n3 = sK15
    & leq(n0,sK15)
    & ( n5 != sK16
      | n2 != sK15 )
    & ( n0 != sK16
      | n4 != sK15 )
    & ( n2 != sK16
      | n0 != sK15 )
    & ( n3 != sK16
      | n1 != sK15 )
    & n0 = sK16
    & ( n4 != sK16
      | n4 != sK15 )
    & leq(n0,sK16)
    & ( n4 != sK16
      | n3 != sK15 )
    & ! [X4,X5] :
        ( a_select3(r_ds1_filter,X5,X4) = a_select3(r_ds1_filter,X4,X5)
        | ~ leq(n0,X5)
        | ~ leq(n0,X4)
        | ~ leq(X5,n2)
        | ~ leq(X4,n2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f204,f205]) ).

fof(f205,plain,
    ( ? [X2,X3] :
        ( ( n0 != X3
          | n5 != X2 )
        & n0 != a_select2(xinit_noise,n0)
        & ( n3 != X2
          | n0 != X3 )
        & ( n3 != X2
          | n5 != X3 )
        & leq(X2,n5)
        & ( n1 != X2
          | n0 != X3 )
        & ( n2 != X2
          | n1 != X3 )
        & ( n0 != X2
          | n5 != X3 )
        & ( n4 != X2
          | n3 != X3 )
        & ( n5 != X2
          | n1 != X3 )
        & ( n3 != X3
          | n0 != X2 )
        & ( n5 != X3
          | n5 != X2 )
        & ( n1 != X2
          | n2 != X3 )
        & n1 = X3
        & ( n2 != X2
          | n4 != X3 )
        & ( n1 != X3
          | n1 != X2 )
        & ( n2 != X2
          | n2 != X3 )
        & ( n2 != X3
          | n4 != X2 )
        & n0 = X2
        & ( n1 != X2
          | n5 != X3 )
        & ( n1 != X3
          | n0 != X2 )
        & ( n5 != X3
          | n4 != X2 )
        & ( n3 != X2
          | n3 != X3 )
        & ( n3 != X2
          | n1 != X3 )
        & leq(X3,n5)
        & ( n5 != X2
          | n4 != X3 )
        & ( n3 != X2
          | n2 != X3 )
        & ( n0 != X3
          | n2 != X2 )
        & ( n0 != X2
          | n4 != X3 )
        & ( n3 != X3
          | n5 != X2 )
        & ( n2 != X2
          | n3 != X3 )
        & ( n2 != X3
          | n5 != X2 )
        & ( n4 != X2
          | n1 != X3 )
        & ( n4 != X3
          | n1 != X2 )
        & n3 = X2
        & leq(n0,X2)
        & ( n5 != X3
          | n2 != X2 )
        & ( n0 != X3
          | n4 != X2 )
        & ( n2 != X3
          | n0 != X2 )
        & ( n3 != X3
          | n1 != X2 )
        & n0 = X3
        & ( n4 != X3
          | n4 != X2 )
        & leq(n0,X3)
        & ( n4 != X3
          | n3 != X2 ) )
   => ( ( n0 != sK16
        | n5 != sK15 )
      & n0 != a_select2(xinit_noise,n0)
      & ( n3 != sK15
        | n0 != sK16 )
      & ( n3 != sK15
        | n5 != sK16 )
      & leq(sK15,n5)
      & ( n1 != sK15
        | n0 != sK16 )
      & ( n2 != sK15
        | n1 != sK16 )
      & ( n0 != sK15
        | n5 != sK16 )
      & ( n4 != sK15
        | n3 != sK16 )
      & ( n5 != sK15
        | n1 != sK16 )
      & ( n3 != sK16
        | n0 != sK15 )
      & ( n5 != sK16
        | n5 != sK15 )
      & ( n1 != sK15
        | n2 != sK16 )
      & n1 = sK16
      & ( n2 != sK15
        | n4 != sK16 )
      & ( n1 != sK16
        | n1 != sK15 )
      & ( n2 != sK15
        | n2 != sK16 )
      & ( n2 != sK16
        | n4 != sK15 )
      & n0 = sK15
      & ( n1 != sK15
        | n5 != sK16 )
      & ( n1 != sK16
        | n0 != sK15 )
      & ( n5 != sK16
        | n4 != sK15 )
      & ( n3 != sK15
        | n3 != sK16 )
      & ( n3 != sK15
        | n1 != sK16 )
      & leq(sK16,n5)
      & ( n5 != sK15
        | n4 != sK16 )
      & ( n3 != sK15
        | n2 != sK16 )
      & ( n0 != sK16
        | n2 != sK15 )
      & ( n0 != sK15
        | n4 != sK16 )
      & ( n3 != sK16
        | n5 != sK15 )
      & ( n2 != sK15
        | n3 != sK16 )
      & ( n2 != sK16
        | n5 != sK15 )
      & ( n4 != sK15
        | n1 != sK16 )
      & ( n4 != sK16
        | n1 != sK15 )
      & n3 = sK15
      & leq(n0,sK15)
      & ( n5 != sK16
        | n2 != sK15 )
      & ( n0 != sK16
        | n4 != sK15 )
      & ( n2 != sK16
        | n0 != sK15 )
      & ( n3 != sK16
        | n1 != sK15 )
      & n0 = sK16
      & ( n4 != sK16
        | n4 != sK15 )
      & leq(n0,sK16)
      & ( n4 != sK16
        | n3 != sK15 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f204,plain,
    ( ! [X0,X1] :
        ( ~ leq(n0,X0)
        | a_select3(q_ds1_filter,X1,X0) = a_select3(q_ds1_filter,X0,X1)
        | ~ leq(n0,X1)
        | ~ leq(X1,n5)
        | ~ leq(X0,n5) )
    & ? [X2,X3] :
        ( ( n0 != X3
          | n5 != X2 )
        & n0 != a_select2(xinit_noise,n0)
        & ( n3 != X2
          | n0 != X3 )
        & ( n3 != X2
          | n5 != X3 )
        & leq(X2,n5)
        & ( n1 != X2
          | n0 != X3 )
        & ( n2 != X2
          | n1 != X3 )
        & ( n0 != X2
          | n5 != X3 )
        & ( n4 != X2
          | n3 != X3 )
        & ( n5 != X2
          | n1 != X3 )
        & ( n3 != X3
          | n0 != X2 )
        & ( n5 != X3
          | n5 != X2 )
        & ( n1 != X2
          | n2 != X3 )
        & n1 = X3
        & ( n2 != X2
          | n4 != X3 )
        & ( n1 != X3
          | n1 != X2 )
        & ( n2 != X2
          | n2 != X3 )
        & ( n2 != X3
          | n4 != X2 )
        & n0 = X2
        & ( n1 != X2
          | n5 != X3 )
        & ( n1 != X3
          | n0 != X2 )
        & ( n5 != X3
          | n4 != X2 )
        & ( n3 != X2
          | n3 != X3 )
        & ( n3 != X2
          | n1 != X3 )
        & leq(X3,n5)
        & ( n5 != X2
          | n4 != X3 )
        & ( n3 != X2
          | n2 != X3 )
        & ( n0 != X3
          | n2 != X2 )
        & ( n0 != X2
          | n4 != X3 )
        & ( n3 != X3
          | n5 != X2 )
        & ( n2 != X2
          | n3 != X3 )
        & ( n2 != X3
          | n5 != X2 )
        & ( n4 != X2
          | n1 != X3 )
        & ( n4 != X3
          | n1 != X2 )
        & n3 = X2
        & leq(n0,X2)
        & ( n5 != X3
          | n2 != X2 )
        & ( n0 != X3
          | n4 != X2 )
        & ( n2 != X3
          | n0 != X2 )
        & ( n3 != X3
          | n1 != X2 )
        & n0 = X3
        & ( n4 != X3
          | n4 != X2 )
        & leq(n0,X3)
        & ( n4 != X3
          | n3 != X2 ) )
    & ! [X4,X5] :
        ( a_select3(r_ds1_filter,X5,X4) = a_select3(r_ds1_filter,X4,X5)
        | ~ leq(n0,X5)
        | ~ leq(n0,X4)
        | ~ leq(X5,n2)
        | ~ leq(X4,n2) ) ),
    inference(rectify,[],[f148]) ).

fof(f148,plain,
    ( ! [X3,X2] :
        ( ~ leq(n0,X3)
        | a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
        | ~ leq(n0,X2)
        | ~ leq(X2,n5)
        | ~ leq(X3,n5) )
    & ? [X4,X5] :
        ( ( n0 != X5
          | n5 != X4 )
        & n0 != a_select2(xinit_noise,n0)
        & ( n3 != X4
          | n0 != X5 )
        & ( n3 != X4
          | n5 != X5 )
        & leq(X4,n5)
        & ( n1 != X4
          | n0 != X5 )
        & ( n2 != X4
          | n1 != X5 )
        & ( n0 != X4
          | n5 != X5 )
        & ( n4 != X4
          | n3 != X5 )
        & ( n5 != X4
          | n1 != X5 )
        & ( n3 != X5
          | n0 != X4 )
        & ( n5 != X5
          | n5 != X4 )
        & ( n1 != X4
          | n2 != X5 )
        & n1 = X5
        & ( n2 != X4
          | n4 != X5 )
        & ( n1 != X5
          | n1 != X4 )
        & ( n2 != X4
          | n2 != X5 )
        & ( n2 != X5
          | n4 != X4 )
        & n0 = X4
        & ( n1 != X4
          | n5 != X5 )
        & ( n1 != X5
          | n0 != X4 )
        & ( n5 != X5
          | n4 != X4 )
        & ( n3 != X4
          | n3 != X5 )
        & ( n3 != X4
          | n1 != X5 )
        & leq(X5,n5)
        & ( n5 != X4
          | n4 != X5 )
        & ( n3 != X4
          | n2 != X5 )
        & ( n0 != X5
          | n2 != X4 )
        & ( n0 != X4
          | n4 != X5 )
        & ( n3 != X5
          | n5 != X4 )
        & ( n2 != X4
          | n3 != X5 )
        & ( n2 != X5
          | n5 != X4 )
        & ( n4 != X4
          | n1 != X5 )
        & ( n4 != X5
          | n1 != X4 )
        & n3 = X4
        & leq(n0,X4)
        & ( n5 != X5
          | n2 != X4 )
        & ( n0 != X5
          | n4 != X4 )
        & ( n2 != X5
          | n0 != X4 )
        & ( n3 != X5
          | n1 != X4 )
        & n0 = X5
        & ( n4 != X5
          | n4 != X4 )
        & leq(n0,X5)
        & ( n4 != X5
          | n3 != X4 ) )
    & ! [X1,X0] :
        ( a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0)
        | ~ leq(n0,X0)
        | ~ leq(n0,X1)
        | ~ leq(X0,n2)
        | ~ leq(X1,n2) ) ),
    inference(flattening,[],[f147]) ).

fof(f147,plain,
    ( ? [X5,X4] :
        ( n0 != a_select2(xinit_noise,n0)
        & ( n0 != X5
          | n4 != X4 )
        & ( n4 != X4
          | n1 != X5 )
        & ( n5 != X5
          | n2 != X4 )
        & ( n4 != X5
          | n4 != X4 )
        & ( n3 != X4
          | n0 != X5 )
        & ( n4 != X4
          | n3 != X5 )
        & ( n3 != X4
          | n2 != X5 )
        & ( n2 != X5
          | n4 != X4 )
        & ( n2 != X4
          | n1 != X5 )
        & ( n1 != X4
          | n5 != X5 )
        & n0 = X5
        & n3 = X4
        & n0 = X4
        & ( n5 != X4
          | n4 != X5 )
        & ( n0 != X4
          | n5 != X5 )
        & ( n3 != X5
          | n5 != X4 )
        & ( n5 != X4
          | n1 != X5 )
        & n1 = X5
        & ( n5 != X5
          | n4 != X4 )
        & ( n1 != X4
          | n2 != X5 )
        & ( n3 != X5
          | n0 != X4 )
        & ( n1 != X4
          | n0 != X5 )
        & ( n5 != X5
          | n5 != X4 )
        & ( n1 != X5
          | n1 != X4 )
        & ( n3 != X4
          | n5 != X5 )
        & ( n2 != X5
          | n5 != X4 )
        & ( n2 != X5
          | n0 != X4 )
        & ( n1 != X5
          | n0 != X4 )
        & ( n3 != X4
          | n1 != X5 )
        & ( n4 != X5
          | n3 != X4 )
        & ( n0 != X4
          | n4 != X5 )
        & ( n2 != X4
          | n4 != X5 )
        & ( n2 != X4
          | n2 != X5 )
        & ( n2 != X4
          | n3 != X5 )
        & ( n4 != X5
          | n1 != X4 )
        & ( n3 != X5
          | n1 != X4 )
        & ( n3 != X4
          | n3 != X5 )
        & ( n0 != X5
          | n2 != X4 )
        & ( n0 != X5
          | n5 != X4 )
        & leq(X4,n5)
        & leq(n0,X5)
        & leq(n0,X4)
        & leq(X5,n5) )
    & ! [X1,X0] :
        ( a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0)
        | ~ leq(n0,X0)
        | ~ leq(X0,n2)
        | ~ leq(X1,n2)
        | ~ leq(n0,X1) )
    & ! [X3,X2] :
        ( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
        | ~ leq(n0,X3)
        | ~ leq(X3,n5)
        | ~ leq(X2,n5)
        | ~ leq(n0,X2) ) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,plain,
    ~ ( ( ! [X1,X0] :
            ( ( leq(n0,X0)
              & leq(X0,n2)
              & leq(X1,n2)
              & leq(n0,X1) )
           => a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) )
        & ! [X3,X2] :
            ( ( leq(n0,X3)
              & leq(X3,n5)
              & leq(X2,n5)
              & leq(n0,X2) )
           => a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) ) )
     => ! [X5,X4] :
          ( ( leq(X4,n5)
            & leq(n0,X5)
            & leq(n0,X4)
            & leq(X5,n5) )
         => ( ( ~ ( n0 = X5
                  & n4 = X4 )
              & ~ ( n4 = X4
                  & n1 = X5 )
              & ~ ( n5 = X5
                  & n2 = X4 )
              & ~ ( n4 = X5
                  & n4 = X4 )
              & ~ ( n3 = X4
                  & n0 = X5 )
              & ~ ( n3 = X5
                  & n4 = X4 )
              & ~ ( n3 = X4
                  & n2 = X5 )
              & ~ ( n4 = X4
                  & n2 = X5 )
              & ~ ( n1 = X5
                  & n2 = X4 )
              & ~ ( n5 = X5
                  & n1 = X4 )
              & n0 = X5
              & n3 = X4
              & n0 = X4
              & ~ ( n4 = X5
                  & n5 = X4 )
              & ~ ( n5 = X5
                  & n0 = X4 )
              & ~ ( n5 = X4
                  & n3 = X5 )
              & ~ ( n1 = X5
                  & n5 = X4 )
              & n1 = X5
              & ~ ( n4 = X4
                  & n5 = X5 )
              & ~ ( n1 = X4
                  & n2 = X5 )
              & ~ ( n0 = X4
                  & n3 = X5 )
              & ~ ( n0 = X5
                  & n1 = X4 )
              & ~ ( n5 = X4
                  & n5 = X5 )
              & ~ ( n1 = X4
                  & n1 = X5 )
              & ~ ( n3 = X4
                  & n5 = X5 )
              & ~ ( n2 = X5
                  & n5 = X4 )
              & ~ ( n2 = X5
                  & n0 = X4 )
              & ~ ( n1 = X5
                  & n0 = X4 )
              & ~ ( n3 = X4
                  & n1 = X5 )
              & ~ ( n4 = X5
                  & n3 = X4 )
              & ~ ( n4 = X5
                  & n0 = X4 )
              & ~ ( n2 = X4
                  & n4 = X5 )
              & ~ ( n2 = X5
                  & n2 = X4 )
              & ~ ( n2 = X4
                  & n3 = X5 )
              & ~ ( n4 = X5
                  & n1 = X4 )
              & ~ ( n1 = X4
                  & n3 = X5 )
              & ~ ( n3 = X4
                  & n3 = X5 )
              & ~ ( n0 = X5
                  & n2 = X4 )
              & ~ ( n5 = X4
                  & n0 = X5 ) )
           => n0 = a_select2(xinit_noise,n0) ) ) ),
    inference(rectify,[],[f54]) ).

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

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

fof(f343,plain,
    n1 = sK16,
    inference(cnf_transformation,[],[f206]) ).

fof(f336,plain,
    ( n1 != sK16
    | n0 != sK15 ),
    inference(cnf_transformation,[],[f206]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWV222+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:16:19 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (6127)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51  % (6119)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51  % (6106)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (6118)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (6106)First to succeed.
% 0.20/0.52  % (6132)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  % (6121)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52  % (6129)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52  % (6133)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52  % (6111)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (6108)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (6104)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52  % (6131)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.52  % (6107)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (6109)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (6115)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (6110)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (6108)Also succeeded, but the first one will report.
% 0.20/0.53  % (6105)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (6122)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (6124)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.53  % (6125)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (6123)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (6130)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53  % (6114)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (6128)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (6120)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (6111)Instruction limit reached!
% 0.20/0.54  % (6111)------------------------------
% 0.20/0.54  % (6111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (6111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (6111)Termination reason: Unknown
% 0.20/0.54  % (6111)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (6111)Memory used [KB]: 1279
% 0.20/0.54  % (6111)Time elapsed: 0.009 s
% 0.20/0.54  % (6111)Instructions burned: 9 (million)
% 0.20/0.54  % (6111)------------------------------
% 0.20/0.54  % (6111)------------------------------
% 0.20/0.54  % (6116)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (6106)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (6106)------------------------------
% 0.20/0.54  % (6106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (6106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (6106)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (6106)Memory used [KB]: 1279
% 0.20/0.54  % (6106)Time elapsed: 0.008 s
% 0.20/0.54  % (6106)Instructions burned: 11 (million)
% 0.20/0.54  % (6106)------------------------------
% 0.20/0.54  % (6106)------------------------------
% 0.20/0.54  % (6103)Success in time 0.194 s
%------------------------------------------------------------------------------