TSTP Solution File: SWV225+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV225+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -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 : Thu Aug 31 23:08:14 EDT 2023

% Result   : Theorem 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   3 unt;   0 def)
%            Number of atoms       :  698 ( 605 equ)
%            Maximal formula atoms :  138 (  53 avg)
%            Number of connectives : 1179 ( 494   ~; 214   |; 455   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   48 (  27 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(f540,plain,
    $false,
    inference(trivial_inequality_removal,[],[f460]) ).

fof(f460,plain,
    ( sK13 != sK13
    | sK14 != sK14 ),
    inference(definition_unfolding,[],[f267,f289,f287]) ).

fof(f287,plain,
    n1 = sK14,
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ( n0 != a_select2(xinit_noise,n1)
    & n3 = sK13
    & n2 = sK14
    & n1 = sK14
    & n1 = sK13
    & ( n5 != sK14
      | n5 != sK13 )
    & ( n5 != sK13
      | n4 != sK14 )
    & ( n5 != sK14
      | n4 != sK13 )
    & ( n4 != sK14
      | n4 != sK13 )
    & ( n5 != sK13
      | n3 != sK14 )
    & ( n4 != sK13
      | n3 != sK14 )
    & ( n5 != sK14
      | n3 != sK13 )
    & ( n4 != sK14
      | n3 != sK13 )
    & ( n3 != sK14
      | n3 != sK13 )
    & ( n5 != sK13
      | n2 != sK14 )
    & ( n4 != sK13
      | n2 != sK14 )
    & ( n3 != sK13
      | n2 != sK14 )
    & ( n5 != sK14
      | n2 != sK13 )
    & ( n4 != sK14
      | n2 != sK13 )
    & ( n3 != sK14
      | n2 != sK13 )
    & ( n2 != sK14
      | n2 != sK13 )
    & ( n5 != sK13
      | n1 != sK14 )
    & ( n4 != sK13
      | n1 != sK14 )
    & ( n3 != sK13
      | n1 != sK14 )
    & ( n2 != sK13
      | n1 != sK14 )
    & ( n5 != sK14
      | n1 != sK13 )
    & ( n4 != sK14
      | n1 != sK13 )
    & ( n3 != sK14
      | n1 != sK13 )
    & ( n2 != sK14
      | n1 != sK13 )
    & ( n5 != sK13
      | n0 != sK14 )
    & ( n4 != sK13
      | n0 != sK14 )
    & ( n5 != sK14
      | n0 != sK13 )
    & ( n4 != sK14
      | n0 != sK13 )
    & ( n3 != sK14
      | n0 != sK13 )
    & ( n2 != sK14
      | n0 != sK13 )
    & leq(sK14,n5)
    & leq(sK13,n5)
    & leq(n0,sK14)
    & leq(n0,sK13)
    & ! [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,[sK13,sK14])],[f185,f186]) ).

fof(f186,plain,
    ( ? [X0,X1] :
        ( n0 != a_select2(xinit_noise,n1)
        & n3 = X0
        & n2 = X1
        & n1 = X1
        & n1 = 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 )
        & ( n5 != X0
          | n0 != X1 )
        & ( n4 != X0
          | n0 != X1 )
        & ( n5 != X1
          | n0 != X0 )
        & ( n4 != X1
          | n0 != X0 )
        & ( n3 != X1
          | n0 != X0 )
        & ( n2 != X1
          | n0 != X0 )
        & leq(X1,n5)
        & leq(X0,n5)
        & leq(n0,X1)
        & leq(n0,X0) )
   => ( n0 != a_select2(xinit_noise,n1)
      & n3 = sK13
      & n2 = sK14
      & n1 = sK14
      & n1 = sK13
      & ( n5 != sK14
        | n5 != sK13 )
      & ( n5 != sK13
        | n4 != sK14 )
      & ( n5 != sK14
        | n4 != sK13 )
      & ( n4 != sK14
        | n4 != sK13 )
      & ( n5 != sK13
        | n3 != sK14 )
      & ( n4 != sK13
        | n3 != sK14 )
      & ( n5 != sK14
        | n3 != sK13 )
      & ( n4 != sK14
        | n3 != sK13 )
      & ( n3 != sK14
        | n3 != sK13 )
      & ( n5 != sK13
        | n2 != sK14 )
      & ( n4 != sK13
        | n2 != sK14 )
      & ( n3 != sK13
        | n2 != sK14 )
      & ( n5 != sK14
        | n2 != sK13 )
      & ( n4 != sK14
        | n2 != sK13 )
      & ( n3 != sK14
        | n2 != sK13 )
      & ( n2 != sK14
        | n2 != sK13 )
      & ( n5 != sK13
        | n1 != sK14 )
      & ( n4 != sK13
        | n1 != sK14 )
      & ( n3 != sK13
        | n1 != sK14 )
      & ( n2 != sK13
        | n1 != sK14 )
      & ( n5 != sK14
        | n1 != sK13 )
      & ( n4 != sK14
        | n1 != sK13 )
      & ( n3 != sK14
        | n1 != sK13 )
      & ( n2 != sK14
        | n1 != sK13 )
      & ( n5 != sK13
        | n0 != sK14 )
      & ( n4 != sK13
        | n0 != sK14 )
      & ( n5 != sK14
        | n0 != sK13 )
      & ( n4 != sK14
        | n0 != sK13 )
      & ( n3 != sK14
        | n0 != sK13 )
      & ( n2 != sK14
        | n0 != sK13 )
      & leq(sK14,n5)
      & leq(sK13,n5)
      & leq(n0,sK14)
      & leq(n0,sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f185,plain,
    ( ? [X0,X1] :
        ( n0 != a_select2(xinit_noise,n1)
        & n3 = X0
        & n2 = X1
        & n1 = X1
        & n1 = 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 )
        & ( n5 != X0
          | n0 != X1 )
        & ( n4 != X0
          | n0 != X1 )
        & ( n5 != X1
          | n0 != X0 )
        & ( n4 != X1
          | n0 != X0 )
        & ( n3 != X1
          | n0 != X0 )
        & ( n2 != 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,[],[f110]) ).

fof(f110,plain,
    ( ? [X4,X5] :
        ( n0 != a_select2(xinit_noise,n1)
        & n3 = X4
        & n2 = X5
        & n1 = X5
        & n1 = 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 )
        & ( n5 != X4
          | n0 != X5 )
        & ( n4 != X4
          | n0 != X5 )
        & ( n5 != X5
          | n0 != X4 )
        & ( n4 != X5
          | n0 != X4 )
        & ( n3 != X5
          | n0 != X4 )
        & ( n2 != 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,[],[f109]) ).

fof(f109,plain,
    ( ? [X4,X5] :
        ( n0 != a_select2(xinit_noise,n1)
        & n3 = X4
        & n2 = X5
        & n1 = X5
        & n1 = 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 )
        & ( n5 != X4
          | n0 != X5 )
        & ( n4 != X4
          | n0 != X5 )
        & ( n5 != X5
          | n0 != X4 )
        & ( n4 != X5
          | n0 != X4 )
        & ( n3 != X5
          | n0 != X4 )
        & ( n2 != 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 = X4
              & n2 = X5
              & n1 = X5
              & n1 = 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 )
              & ~ ( n5 = X4
                  & n0 = X5 )
              & ~ ( n4 = X4
                  & n0 = X5 )
              & ~ ( n5 = X5
                  & n0 = X4 )
              & ~ ( n4 = X5
                  & n0 = X4 )
              & ~ ( n3 = X5
                  & n0 = X4 )
              & ~ ( n2 = X5
                  & n0 = X4 ) )
           => n0 = a_select2(xinit_noise,n1) ) ) ),
    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 = X20
              & n2 = X21
              & n1 = X21
              & n1 = 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 )
              & ~ ( n5 = X20
                  & n0 = X21 )
              & ~ ( n4 = X20
                  & n0 = X21 )
              & ~ ( n5 = X21
                  & n0 = X20 )
              & ~ ( n4 = X21
                  & n0 = X20 )
              & ~ ( n3 = X21
                  & n0 = X20 )
              & ~ ( n2 = X21
                  & n0 = X20 ) )
           => n0 = a_select2(xinit_noise,n1) ) ) ),
    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 = X20
            & n2 = X21
            & n1 = X21
            & n1 = 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 )
            & ~ ( n5 = X20
                & n0 = X21 )
            & ~ ( n4 = X20
                & n0 = X21 )
            & ~ ( n5 = X21
                & n0 = X20 )
            & ~ ( n4 = X21
                & n0 = X20 )
            & ~ ( n3 = X21
                & n0 = X20 )
            & ~ ( n2 = X21
                & n0 = X20 ) )
         => n0 = a_select2(xinit_noise,n1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3Eameq8S8M/Vampire---4.8_24715',quaternion_ds1_symm_0561) ).

fof(f289,plain,
    n3 = sK13,
    inference(cnf_transformation,[],[f187]) ).

fof(f267,plain,
    ( n3 != sK13
    | n1 != sK14 ),
    inference(cnf_transformation,[],[f187]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : SWV225+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 05:44:28 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.3Eameq8S8M/Vampire---4.8_24715
% 0.14/0.36  % (24822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (24829)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.21/0.42  % (24826)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.21/0.42  % (24828)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.21/0.42  % (24825)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.21/0.42  % (24824)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.21/0.42  % (24827)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.43  % (24823)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.21/0.43  % (24826)First to succeed.
% 0.21/0.43  % (24829)Also succeeded, but the first one will report.
% 0.21/0.43  % (24826)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Theorem for Vampire---4
% 0.21/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43  % (24826)------------------------------
% 0.21/0.43  % (24826)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43  % (24826)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43  % (24826)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (24826)Memory used [KB]: 5756
% 0.21/0.43  % (24826)Time elapsed: 0.007 s
% 0.21/0.43  % (24826)------------------------------
% 0.21/0.43  % (24826)------------------------------
% 0.21/0.43  % (24822)Success in time 0.069 s
% 0.21/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------