TSTP Solution File: SWV226+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV226+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 : Tue May 21 06:13:57 EDT 2024

% Result   : Theorem 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :  715 ( 622 equ)
%            Maximal formula atoms :  142 (  51 avg)
%            Number of connectives : 1209 ( 508   ~; 218   |; 467   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (  26 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(f450,plain,
    $false,
    inference(trivial_inequality_removal,[],[f449]) ).

fof(f449,plain,
    a_select2(xinit_noise,sK14) != a_select2(xinit_noise,sK14),
    inference(forward_demodulation,[],[f448,f288]) ).

fof(f288,plain,
    n1 = sK14,
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ( a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2)
    & n2 = sK14
    & n2 = sK13
    & 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 )
    & ( n3 != sK13
      | n0 != sK14 )
    & ( n2 != sK13
      | n0 != sK14 )
    & ( n5 != sK14
      | n0 != sK13 )
    & ( n4 != sK14
      | n0 != sK13 )
    & ( n3 != 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] :
        ( a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2)
        & n2 = X1
        & n2 = X0
        & 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 )
        & ( n3 != X0
          | n0 != X1 )
        & ( n2 != X0
          | n0 != X1 )
        & ( n5 != X1
          | n0 != X0 )
        & ( n4 != X1
          | n0 != X0 )
        & ( n3 != X1
          | n0 != X0 )
        & leq(X1,n5)
        & leq(X0,n5)
        & leq(n0,X1)
        & leq(n0,X0) )
   => ( a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2)
      & n2 = sK14
      & n2 = sK13
      & 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 )
      & ( n3 != sK13
        | n0 != sK14 )
      & ( n2 != sK13
        | n0 != sK14 )
      & ( n5 != sK14
        | n0 != sK13 )
      & ( n4 != sK14
        | n0 != sK13 )
      & ( n3 != sK14
        | n0 != sK13 )
      & leq(sK14,n5)
      & leq(sK13,n5)
      & leq(n0,sK14)
      & leq(n0,sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f185,plain,
    ( ? [X0,X1] :
        ( a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2)
        & n2 = X1
        & n2 = X0
        & 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 )
        & ( n3 != X0
          | n0 != X1 )
        & ( n2 != X0
          | n0 != X1 )
        & ( n5 != X1
          | n0 != X0 )
        & ( n4 != X1
          | n0 != X0 )
        & ( n3 != 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] :
        ( a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2)
        & n2 = X5
        & n2 = X4
        & 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 )
        & ( n3 != X4
          | n0 != X5 )
        & ( n2 != X4
          | n0 != X5 )
        & ( n5 != X5
          | n0 != X4 )
        & ( n4 != X5
          | n0 != X4 )
        & ( n3 != 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] :
        ( a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2)
        & n2 = X5
        & n2 = X4
        & 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 )
        & ( n3 != X4
          | n0 != X5 )
        & ( n2 != X4
          | n0 != X5 )
        & ( n5 != X5
          | n0 != X4 )
        & ( n4 != X5
          | n0 != X4 )
        & ( n3 != 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) )
         => ( ( n2 = X5
              & n2 = X4
              & 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 )
              & ~ ( n3 = X4
                  & n0 = X5 )
              & ~ ( n2 = X4
                  & n0 = X5 )
              & ~ ( n5 = X5
                  & n0 = X4 )
              & ~ ( n4 = X5
                  & n0 = X4 )
              & ~ ( n3 = X5
                  & n0 = X4 ) )
           => a_select2(xinit_noise,n1) = a_select2(xinit_noise,n2) ) ) ),
    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) )
         => ( ( n2 = X21
              & n2 = X20
              & 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 )
              & ~ ( n3 = X20
                  & n0 = X21 )
              & ~ ( n2 = X20
                  & n0 = X21 )
              & ~ ( n5 = X21
                  & n0 = X20 )
              & ~ ( n4 = X21
                  & n0 = X20 )
              & ~ ( n3 = X21
                  & n0 = X20 ) )
           => a_select2(xinit_noise,n1) = a_select2(xinit_noise,n2) ) ) ),
    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) )
       => ( ( n2 = X21
            & n2 = X20
            & 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 )
            & ~ ( n3 = X20
                & n0 = X21 )
            & ~ ( n2 = X20
                & n0 = X21 )
            & ~ ( n5 = X21
                & n0 = X20 )
            & ~ ( n4 = X21
                & n0 = X20 )
            & ~ ( n3 = X21
                & n0 = X20 ) )
         => a_select2(xinit_noise,n1) = a_select2(xinit_noise,n2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0601) ).

fof(f448,plain,
    a_select2(xinit_noise,n1) != a_select2(xinit_noise,sK14),
    inference(forward_demodulation,[],[f291,f290]) ).

fof(f290,plain,
    n2 = sK14,
    inference(cnf_transformation,[],[f187]) ).

fof(f291,plain,
    a_select2(xinit_noise,n1) != a_select2(xinit_noise,n2),
    inference(cnf_transformation,[],[f187]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SWV226+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.11/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun May 19 08:30:38 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  % (8033)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35  % (8036)WARNING: value z3 for option sas not known
% 0.12/0.35  % (8039)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.35  % (8037)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35  % (8035)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35  % (8040)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.35  % (8034)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35  % (8038)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.35  % (8036)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36  % (8039)First to succeed.
% 0.12/0.36  % (8038)Also succeeded, but the first one will report.
% 0.12/0.36  % (8039)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8033"
% 0.12/0.36  % (8039)Refutation found. Thanks to Tanya!
% 0.12/0.36  % SZS status Theorem for theBenchmark
% 0.12/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36  % (8039)------------------------------
% 0.12/0.36  % (8039)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36  % (8039)Termination reason: Refutation
% 0.12/0.36  
% 0.12/0.36  % (8039)Memory used [KB]: 1030
% 0.12/0.36  % (8039)Time elapsed: 0.007 s
% 0.12/0.36  % (8039)Instructions burned: 12 (million)
% 0.12/0.36  % (8033)Success in time 0.027 s
%------------------------------------------------------------------------------