TSTP Solution File: SWV226+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV226+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 : n007.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 18:55:52 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :  716 ( 623 equ)
%            Maximal formula atoms :  142 (  47 avg)
%            Number of connectives : 1209 ( 508   ~; 218   |; 467   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (  24 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-3 aty)
%            Number of variables   :   42 (  34   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f513,plain,
    $false,
    inference(trivial_inequality_removal,[],[f507]) ).

fof(f507,plain,
    sF39 != sF39,
    inference(definition_folding,[],[f478,f506,f506]) ).

fof(f506,plain,
    sF39 = a_select2(xinit_noise,sK32),
    introduced(function_definition,[]) ).

fof(f478,plain,
    a_select2(xinit_noise,sK32) != a_select2(xinit_noise,sK32),
    inference(definition_unfolding,[],[f407,f420,f421]) ).

fof(f421,plain,
    n2 = sK32,
    inference(cnf_transformation,[],[f240]) ).

fof(f240,plain,
    ( ( n3 != sK32
      | n0 != sK31 )
    & ( n1 != sK32
      | n4 != sK31 )
    & ( n4 != sK31
      | n4 != sK32 )
    & n2 = sK32
    & n1 = sK32
    & n1 = sK31
    & n2 = sK31
    & ( n3 != sK32
      | n3 != sK31 )
    & leq(sK31,n5)
    & ( n4 != sK31
      | n0 != sK32 )
    & ( n0 != sK31
      | n5 != sK32 )
    & ( n5 != sK32
      | n1 != sK31 )
    & ( n4 != sK31
      | n2 != sK32 )
    & ( n2 != sK31
      | n3 != sK32 )
    & ( n1 != sK32
      | n2 != sK31 )
    & ( n2 != sK32
      | n2 != sK31 )
    & ( n4 != sK31
      | n3 != sK32 )
    & a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2)
    & leq(n0,sK31)
    & ( n5 != sK31
      | n3 != sK32 )
    & ( n2 != sK31
      | n5 != sK32 )
    & ( n1 != sK31
      | n3 != sK32 )
    & leq(sK32,n5)
    & ( n3 != sK31
      | n5 != sK32 )
    & ( n0 != sK31
      | n4 != sK32 )
    & ( n2 != sK32
      | n5 != sK31 )
    & ( n2 != sK31
      | n0 != sK32 )
    & ( n0 != sK32
      | n5 != sK31 )
    & ( n4 != sK32
      | n5 != sK31 )
    & ( n5 != sK32
      | n5 != sK31 )
    & ( n4 != sK31
      | n5 != sK32 )
    & ( n4 != sK32
      | n1 != sK31 )
    & ( n2 != sK32
      | n3 != sK31 )
    & ( n4 != sK32
      | n2 != sK31 )
    & ( n4 != sK32
      | n3 != sK31 )
    & ( n0 != sK32
      | n3 != sK31 )
    & ( n1 != sK32
      | n3 != sK31 )
    & ( n2 != sK32
      | n1 != sK31 )
    & leq(n0,sK32)
    & ( n5 != sK31
      | n1 != sK32 )
    & ! [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(X4,n2)
        | ~ leq(n0,X5)
        | ~ leq(n0,X4)
        | a_select3(r_ds1_filter,X5,X4) = a_select3(r_ds1_filter,X4,X5)
        | ~ leq(X5,n2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f238,f239]) ).

fof(f239,plain,
    ( ? [X0,X1] :
        ( ( n3 != X1
          | n0 != X0 )
        & ( n1 != X1
          | n4 != X0 )
        & ( n4 != X0
          | n4 != X1 )
        & n2 = X1
        & n1 = X1
        & n1 = X0
        & n2 = X0
        & ( n3 != X1
          | n3 != X0 )
        & leq(X0,n5)
        & ( n4 != X0
          | n0 != X1 )
        & ( n0 != X0
          | n5 != X1 )
        & ( n5 != X1
          | n1 != X0 )
        & ( n4 != X0
          | n2 != X1 )
        & ( n2 != X0
          | n3 != X1 )
        & ( n1 != X1
          | n2 != X0 )
        & ( n2 != X1
          | n2 != X0 )
        & ( n4 != X0
          | n3 != X1 )
        & a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2)
        & leq(n0,X0)
        & ( n5 != X0
          | n3 != X1 )
        & ( n2 != X0
          | n5 != X1 )
        & ( n1 != X0
          | n3 != X1 )
        & leq(X1,n5)
        & ( n3 != X0
          | n5 != X1 )
        & ( n0 != X0
          | n4 != X1 )
        & ( n2 != X1
          | n5 != X0 )
        & ( n2 != X0
          | n0 != X1 )
        & ( n0 != X1
          | n5 != X0 )
        & ( n4 != X1
          | n5 != X0 )
        & ( n5 != X1
          | n5 != X0 )
        & ( n4 != X0
          | n5 != X1 )
        & ( n4 != X1
          | n1 != X0 )
        & ( n2 != X1
          | n3 != X0 )
        & ( n4 != X1
          | n2 != X0 )
        & ( n4 != X1
          | n3 != X0 )
        & ( n0 != X1
          | n3 != X0 )
        & ( n1 != X1
          | n3 != X0 )
        & ( n2 != X1
          | n1 != X0 )
        & leq(n0,X1)
        & ( n5 != X0
          | n1 != X1 ) )
   => ( ( n3 != sK32
        | n0 != sK31 )
      & ( n1 != sK32
        | n4 != sK31 )
      & ( n4 != sK31
        | n4 != sK32 )
      & n2 = sK32
      & n1 = sK32
      & n1 = sK31
      & n2 = sK31
      & ( n3 != sK32
        | n3 != sK31 )
      & leq(sK31,n5)
      & ( n4 != sK31
        | n0 != sK32 )
      & ( n0 != sK31
        | n5 != sK32 )
      & ( n5 != sK32
        | n1 != sK31 )
      & ( n4 != sK31
        | n2 != sK32 )
      & ( n2 != sK31
        | n3 != sK32 )
      & ( n1 != sK32
        | n2 != sK31 )
      & ( n2 != sK32
        | n2 != sK31 )
      & ( n4 != sK31
        | n3 != sK32 )
      & a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2)
      & leq(n0,sK31)
      & ( n5 != sK31
        | n3 != sK32 )
      & ( n2 != sK31
        | n5 != sK32 )
      & ( n1 != sK31
        | n3 != sK32 )
      & leq(sK32,n5)
      & ( n3 != sK31
        | n5 != sK32 )
      & ( n0 != sK31
        | n4 != sK32 )
      & ( n2 != sK32
        | n5 != sK31 )
      & ( n2 != sK31
        | n0 != sK32 )
      & ( n0 != sK32
        | n5 != sK31 )
      & ( n4 != sK32
        | n5 != sK31 )
      & ( n5 != sK32
        | n5 != sK31 )
      & ( n4 != sK31
        | n5 != sK32 )
      & ( n4 != sK32
        | n1 != sK31 )
      & ( n2 != sK32
        | n3 != sK31 )
      & ( n4 != sK32
        | n2 != sK31 )
      & ( n4 != sK32
        | n3 != sK31 )
      & ( n0 != sK32
        | n3 != sK31 )
      & ( n1 != sK32
        | n3 != sK31 )
      & ( n2 != sK32
        | n1 != sK31 )
      & leq(n0,sK32)
      & ( n5 != sK31
        | n1 != sK32 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f238,plain,
    ( ? [X0,X1] :
        ( ( n3 != X1
          | n0 != X0 )
        & ( n1 != X1
          | n4 != X0 )
        & ( n4 != X0
          | n4 != X1 )
        & n2 = X1
        & n1 = X1
        & n1 = X0
        & n2 = X0
        & ( n3 != X1
          | n3 != X0 )
        & leq(X0,n5)
        & ( n4 != X0
          | n0 != X1 )
        & ( n0 != X0
          | n5 != X1 )
        & ( n5 != X1
          | n1 != X0 )
        & ( n4 != X0
          | n2 != X1 )
        & ( n2 != X0
          | n3 != X1 )
        & ( n1 != X1
          | n2 != X0 )
        & ( n2 != X1
          | n2 != X0 )
        & ( n4 != X0
          | n3 != X1 )
        & a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2)
        & leq(n0,X0)
        & ( n5 != X0
          | n3 != X1 )
        & ( n2 != X0
          | n5 != X1 )
        & ( n1 != X0
          | n3 != X1 )
        & leq(X1,n5)
        & ( n3 != X0
          | n5 != X1 )
        & ( n0 != X0
          | n4 != X1 )
        & ( n2 != X1
          | n5 != X0 )
        & ( n2 != X0
          | n0 != X1 )
        & ( n0 != X1
          | n5 != X0 )
        & ( n4 != X1
          | n5 != X0 )
        & ( n5 != X1
          | n5 != X0 )
        & ( n4 != X0
          | n5 != X1 )
        & ( n4 != X1
          | n1 != X0 )
        & ( n2 != X1
          | n3 != X0 )
        & ( n4 != X1
          | n2 != X0 )
        & ( n4 != X1
          | n3 != X0 )
        & ( n0 != X1
          | n3 != X0 )
        & ( n1 != X1
          | n3 != X0 )
        & ( n2 != X1
          | n1 != X0 )
        & leq(n0,X1)
        & ( n5 != X0
          | n1 != X1 ) )
    & ! [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(X4,n2)
        | ~ leq(n0,X5)
        | ~ leq(n0,X4)
        | a_select3(r_ds1_filter,X5,X4) = a_select3(r_ds1_filter,X4,X5)
        | ~ leq(X5,n2) ) ),
    inference(rectify,[],[f139]) ).

fof(f139,plain,
    ( ? [X5,X4] :
        ( ( n3 != X4
          | n0 != X5 )
        & ( n1 != X4
          | n4 != X5 )
        & ( n4 != X5
          | n4 != X4 )
        & n2 = X4
        & n1 = X4
        & n1 = X5
        & n2 = X5
        & ( n3 != X4
          | n3 != X5 )
        & leq(X5,n5)
        & ( n4 != X5
          | n0 != X4 )
        & ( n0 != X5
          | n5 != X4 )
        & ( n5 != X4
          | n1 != X5 )
        & ( n4 != X5
          | n2 != X4 )
        & ( n2 != X5
          | n3 != X4 )
        & ( n1 != X4
          | n2 != X5 )
        & ( n2 != X4
          | n2 != X5 )
        & ( n4 != X5
          | n3 != X4 )
        & a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2)
        & leq(n0,X5)
        & ( n5 != X5
          | n3 != X4 )
        & ( n2 != X5
          | n5 != X4 )
        & ( n1 != X5
          | n3 != X4 )
        & leq(X4,n5)
        & ( n3 != X5
          | n5 != X4 )
        & ( n0 != X5
          | n4 != X4 )
        & ( n2 != X4
          | n5 != X5 )
        & ( n2 != X5
          | n0 != X4 )
        & ( n0 != X4
          | n5 != X5 )
        & ( n4 != X4
          | n5 != X5 )
        & ( n5 != X4
          | n5 != X5 )
        & ( n4 != X5
          | n5 != X4 )
        & ( n4 != X4
          | n1 != X5 )
        & ( n2 != X4
          | n3 != X5 )
        & ( n4 != X4
          | n2 != X5 )
        & ( n4 != X4
          | n3 != X5 )
        & ( n0 != X4
          | n3 != X5 )
        & ( n1 != X4
          | n3 != X5 )
        & ( n2 != X4
          | n1 != X5 )
        & leq(n0,X4)
        & ( n5 != X5
          | n1 != X4 ) )
    & ! [X3,X2] :
        ( ~ leq(X2,n5)
        | ~ leq(X3,n5)
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) )
    & ! [X1,X0] :
        ( ~ leq(X1,n2)
        | ~ leq(n0,X0)
        | ~ leq(n0,X1)
        | a_select3(r_ds1_filter,X1,X0) = a_select3(r_ds1_filter,X0,X1)
        | ~ leq(X0,n2) ) ),
    inference(flattening,[],[f138]) ).

fof(f138,plain,
    ( ? [X5,X4] :
        ( a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2)
        & n2 = X4
        & ( n5 != X4
          | n5 != X5 )
        & ( n4 != X4
          | n2 != X5 )
        & ( n4 != X5
          | n2 != X4 )
        & ( n4 != X5
          | n5 != X4 )
        & ( n2 != X5
          | n3 != X4 )
        & n1 = X4
        & ( n3 != X4
          | n0 != X5 )
        & ( n4 != X5
          | n0 != X4 )
        & ( n4 != X4
          | n3 != X5 )
        & ( n4 != X4
          | n5 != X5 )
        & ( n1 != X4
          | n4 != X5 )
        & ( n2 != X4
          | n5 != X5 )
        & ( n5 != X5
          | n3 != X4 )
        & ( n5 != X4
          | n1 != X5 )
        & ( n4 != X5
          | n4 != X4 )
        & ( n4 != X4
          | n1 != X5 )
        & ( n4 != X5
          | n3 != X4 )
        & ( n0 != X5
          | n4 != X4 )
        & ( n1 != X5
          | n3 != X4 )
        & ( n5 != X5
          | n1 != X4 )
        & ( n2 != X5
          | n5 != X4 )
        & ( n2 != X4
          | n1 != X5 )
        & ( n2 != X4
          | n3 != X5 )
        & ( n3 != X5
          | n5 != X4 )
        & ( n2 != X4
          | n2 != X5 )
        & ( n0 != X4
          | n5 != X5 )
        & ( n0 != X4
          | n3 != X5 )
        & ( n0 != X5
          | n5 != X4 )
        & ( n1 != X4
          | n2 != X5 )
        & ( n2 != X5
          | n0 != X4 )
        & n1 = X5
        & n2 = X5
        & ( n3 != X4
          | n3 != X5 )
        & ( n1 != X4
          | n3 != X5 )
        & leq(n0,X4)
        & leq(X5,n5)
        & leq(n0,X5)
        & leq(X4,n5) )
    & ! [X3,X2] :
        ( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
        | ~ leq(X2,n5)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2)
        | ~ leq(X3,n5) )
    & ! [X0,X1] :
        ( a_select3(r_ds1_filter,X1,X0) = a_select3(r_ds1_filter,X0,X1)
        | ~ leq(n0,X1)
        | ~ leq(X0,n2)
        | ~ leq(n0,X0)
        | ~ leq(X1,n2) ) ),
    inference(ennf_transformation,[],[f112]) ).

fof(f112,plain,
    ~ ( ( ! [X3,X2] :
            ( ( leq(X2,n5)
              & leq(n0,X3)
              & leq(n0,X2)
              & leq(X3,n5) )
           => a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) )
        & ! [X0,X1] :
            ( ( leq(n0,X1)
              & leq(X0,n2)
              & leq(n0,X0)
              & leq(X1,n2) )
           => a_select3(r_ds1_filter,X1,X0) = a_select3(r_ds1_filter,X0,X1) ) )
     => ! [X5,X4] :
          ( ( leq(n0,X4)
            & leq(X5,n5)
            & leq(n0,X5)
            & leq(X4,n5) )
         => ( ( n2 = X4
              & ~ ( n5 = X4
                  & n5 = X5 )
              & ~ ( n4 = X4
                  & n2 = X5 )
              & ~ ( n4 = X5
                  & n2 = X4 )
              & ~ ( n5 = X4
                  & n4 = X5 )
              & ~ ( n3 = X4
                  & n2 = X5 )
              & n1 = X4
              & ~ ( n3 = X4
                  & n0 = X5 )
              & ~ ( n0 = X4
                  & n4 = X5 )
              & ~ ( n4 = X4
                  & n3 = X5 )
              & ~ ( n5 = X5
                  & n4 = X4 )
              & ~ ( n1 = X4
                  & n4 = X5 )
              & ~ ( n2 = X4
                  & n5 = X5 )
              & ~ ( n5 = X5
                  & n3 = X4 )
              & ~ ( n5 = X4
                  & n1 = X5 )
              & ~ ( n4 = X5
                  & n4 = X4 )
              & ~ ( n1 = X5
                  & n4 = X4 )
              & ~ ( n4 = X5
                  & n3 = X4 )
              & ~ ( n4 = X4
                  & n0 = X5 )
              & ~ ( n1 = X5
                  & n3 = X4 )
              & ~ ( n1 = X4
                  & n5 = X5 )
              & ~ ( n2 = X5
                  & n5 = X4 )
              & ~ ( n2 = X4
                  & n1 = X5 )
              & ~ ( n2 = X4
                  & n3 = X5 )
              & ~ ( n3 = X5
                  & n5 = X4 )
              & ~ ( n2 = X5
                  & n2 = X4 )
              & ~ ( n0 = X4
                  & n5 = X5 )
              & ~ ( n0 = X4
                  & n3 = X5 )
              & ~ ( n5 = X4
                  & n0 = X5 )
              & ~ ( n1 = X4
                  & n2 = X5 )
              & ~ ( n0 = X4
                  & n2 = X5 )
              & n1 = X5
              & n2 = X5
              & ~ ( n3 = X4
                  & n3 = X5 )
              & ~ ( n3 = X5
                  & n1 = X4 ) )
           => a_select2(xinit_noise,n1) = a_select2(xinit_noise,n2) ) ) ),
    inference(rectify,[],[f54]) ).

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

fof(f53,conjecture,
    ( ( ! [X3,X19] :
          ( ( leq(n0,X19)
            & leq(n0,X3)
            & leq(X19,n2)
            & leq(X3,n2) )
         => a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
      & ! [X13,X17] :
          ( ( leq(n0,X17)
            & leq(X13,n5)
            & leq(X17,n5)
            & leq(n0,X13) )
         => a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) ) )
   => ! [X21,X20] :
        ( ( leq(n0,X20)
          & leq(X21,n5)
          & leq(n0,X21)
          & leq(X20,n5) )
       => ( ( ~ ( n0 = X20
                & n4 = X21 )
            & n2 = X20
            & ~ ( n4 = X21
                & n1 = X20 )
            & ~ ( n5 = X21
                & n0 = X20 )
            & ~ ( n2 = X20
                & n3 = X21 )
            & ~ ( n5 = X21
                & n1 = X20 )
            & n1 = X20
            & ~ ( n4 = X20
                & n1 = X21 )
            & ~ ( n5 = X21
                & n3 = X20 )
            & ~ ( n2 = X21
                & n1 = X20 )
            & ~ ( n3 = X21
                & n0 = X20 )
            & ~ ( n3 = X21
                & n5 = X20 )
            & n2 = X21
            & ~ ( n5 = X20
                & n0 = X21 )
            & ~ ( n3 = X20
                & n0 = X21 )
            & ~ ( n2 = X21
                & n5 = X20 )
            & ~ ( n3 = X20
                & n3 = X21 )
            & ~ ( n1 = X21
                & n5 = X20 )
            & ~ ( n4 = X20
                & n5 = X21 )
            & ~ ( n2 = X20
                & n0 = X21 )
            & ~ ( n4 = X20
                & n2 = X21 )
            & ~ ( n5 = X21
                & n2 = X20 )
            & ~ ( n1 = X20
                & n3 = X21 )
            & ~ ( n2 = X20
                & n1 = X21 )
            & ~ ( n2 = X21
                & n3 = X20 )
            & ~ ( n4 = X21
                & n5 = X20 )
            & ~ ( n5 = X20
                & n5 = X21 )
            & ~ ( n2 = X20
                & n2 = X21 )
            & ~ ( n4 = X20
                & n4 = X21 )
            & ~ ( n2 = X20
                & n4 = X21 )
            & ~ ( n3 = X20
                & n1 = X21 )
            & ~ ( n0 = X21
                & n4 = X20 )
            & n1 = X21
            & ~ ( n3 = X21
                & n4 = X20 )
            & ~ ( n3 = X20
                & n4 = X21 ) )
         => a_select2(xinit_noise,n1) = a_select2(xinit_noise,n2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0601) ).

fof(f420,plain,
    n1 = sK32,
    inference(cnf_transformation,[],[f240]) ).

fof(f407,plain,
    a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2),
    inference(cnf_transformation,[],[f240]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV226+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % 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 : n007.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 18:52:31 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (16434)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (16442)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50  % (16434)First to succeed.
% 0.19/0.50  % (16457)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)
% 0.19/0.50  % (16434)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (16434)------------------------------
% 0.19/0.50  % (16434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (16434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (16434)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (16434)Memory used [KB]: 5756
% 0.19/0.50  % (16434)Time elapsed: 0.008 s
% 0.19/0.50  % (16434)Instructions burned: 10 (million)
% 0.19/0.50  % (16434)------------------------------
% 0.19/0.50  % (16434)------------------------------
% 0.19/0.50  % (16429)Success in time 0.156 s
%------------------------------------------------------------------------------