TSTP Solution File: ALG028+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG028+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n015.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 15:38:54 EDT 2022

% Result   : Theorem 1.40s 0.58s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   54 (  31 unt;   0 def)
%            Number of atoms       :  436 ( 390 equ)
%            Maximal formula atoms :   72 (   8 avg)
%            Number of connectives :  511 ( 129   ~; 118   |; 249   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   71 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  16 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1790,plain,
    $false,
    inference(avatar_sat_refutation,[],[f751,f877,f879,f1187,f1326,f1413,f1415,f1416,f1467,f1507,f1534,f1561,f1563,f1597,f1626,f1789]) ).

fof(f1789,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f574,f728]) ).

fof(f728,plain,
    ( spl0_32
  <=> op(e3,e4) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f574,plain,
    op(e3,e4) = op(e4,e3),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ( op(e1,e4) = op(e4,e1)
    & op(e0,e4) = op(e4,e0)
    & op(e3,e3) = op(e3,e3)
    & op(e1,e2) = op(e2,e1)
    & op(e4,e5) = op(e5,e4)
    & op(e2,e2) = op(e2,e2)
    & op(e3,e4) = op(e4,e3)
    & op(e2,e4) = op(e4,e2)
    & op(e2,e3) = op(e3,e2)
    & op(e0,e0) = op(e0,e0)
    & op(e1,e5) = op(e5,e1)
    & op(e0,e1) = op(e1,e0)
    & op(e4,e4) = op(e4,e4)
    & op(e0,e5) = op(e5,e0)
    & op(e0,e5) = op(e5,e0)
    & op(e1,e1) = op(e1,e1)
    & op(e3,e5) = op(e5,e3)
    & op(e1,e2) = op(e2,e1)
    & op(e1,e4) = op(e4,e1)
    & op(e2,e4) = op(e4,e2)
    & op(e3,e4) = op(e4,e3)
    & op(e1,e3) = op(e3,e1)
    & op(e2,e3) = op(e3,e2)
    & op(e3,e5) = op(e5,e3)
    & op(e2,e5) = op(e5,e2)
    & op(e0,e2) = op(e2,e0)
    & op(e5,e5) = op(e5,e5)
    & op(e1,e5) = op(e5,e1)
    & op(e2,e5) = op(e5,e2)
    & op(e1,e3) = op(e3,e1)
    & op(e4,e5) = op(e5,e4)
    & op(e0,e1) = op(e1,e0)
    & op(e0,e4) = op(e4,e0)
    & ( op(e3,e5) != op(e5,e3)
      | op(e3,e3) != op(e3,e3)
      | op(e2,e5) != op(e5,e2)
      | op(e1,e1) != op(e1,e1)
      | op(e1,e5) != op(e5,e1)
      | op(e1,e3) != op(e3,e1)
      | op(e5,e5) != op(e5,e5)
      | op(e0,e2) != op(e2,e0)
      | op(e3,e4) != op(e4,e3)
      | op(e3,e5) != op(e5,e3)
      | op(e1,e5) != op(e5,e1)
      | op(e1,e2) != op(e2,e1)
      | op(e0,e1) != op(e1,e0)
      | op(e0,e5) != op(e5,e0)
      | op(e2,e3) != op(e3,e2)
      | op(e0,e1) != op(e1,e0)
      | op(e3,e4) != op(e4,e3)
      | op(e1,e4) != op(e4,e1)
      | op(e2,e5) != op(e5,e2)
      | op(e1,e4) != op(e4,e1)
      | op(e0,e3) != op(e3,e0)
      | op(e0,e4) != op(e4,e0)
      | op(e0,e2) != op(e2,e0)
      | op(e0,e0) != op(e0,e0)
      | op(e1,e3) != op(e3,e1)
      | op(e1,e2) != op(e2,e1)
      | op(e4,e5) != op(e5,e4)
      | op(e2,e4) != op(e4,e2)
      | op(e2,e3) != op(e3,e2)
      | op(e4,e5) != op(e5,e4)
      | op(e2,e4) != op(e4,e2)
      | op(e0,e5) != op(e5,e0)
      | op(e4,e4) != op(e4,e4)
      | op(e0,e3) != op(e3,e0)
      | op(e2,e2) != op(e2,e2)
      | op(e0,e4) != op(e4,e0) )
    & op(e0,e3) = op(e3,e0)
    & op(e0,e3) = op(e3,e0)
    & op(e0,e2) = op(e2,e0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ( op(e3,e3) = op(e3,e3)
    & op(e0,e2) = op(e2,e0)
    & op(e3,e4) = op(e4,e3)
    & op(e2,e4) = op(e4,e2)
    & op(e1,e5) = op(e5,e1)
    & op(e4,e5) = op(e5,e4)
    & op(e1,e3) = op(e3,e1)
    & op(e1,e4) = op(e4,e1)
    & ~ ( op(e3,e5) = op(e5,e3)
        & op(e3,e5) = op(e5,e3)
        & op(e0,e1) = op(e1,e0)
        & op(e3,e4) = op(e4,e3)
        & op(e2,e5) = op(e5,e2)
        & op(e1,e5) = op(e5,e1)
        & op(e0,e2) = op(e2,e0)
        & op(e1,e2) = op(e2,e1)
        & op(e0,e0) = op(e0,e0)
        & op(e2,e3) = op(e3,e2)
        & op(e0,e4) = op(e4,e0)
        & op(e3,e3) = op(e3,e3)
        & op(e0,e5) = op(e5,e0)
        & op(e3,e4) = op(e4,e3)
        & op(e4,e4) = op(e4,e4)
        & op(e5,e5) = op(e5,e5)
        & op(e2,e5) = op(e5,e2)
        & op(e0,e1) = op(e1,e0)
        & op(e0,e3) = op(e3,e0)
        & op(e1,e4) = op(e4,e1)
        & op(e1,e3) = op(e3,e1)
        & op(e0,e3) = op(e3,e0)
        & op(e2,e2) = op(e2,e2)
        & op(e1,e3) = op(e3,e1)
        & op(e4,e5) = op(e5,e4)
        & op(e1,e2) = op(e2,e1)
        & op(e0,e4) = op(e4,e0)
        & op(e1,e4) = op(e4,e1)
        & op(e1,e5) = op(e5,e1)
        & op(e2,e4) = op(e4,e2)
        & op(e4,e5) = op(e5,e4)
        & op(e2,e4) = op(e4,e2)
        & op(e0,e2) = op(e2,e0)
        & op(e1,e1) = op(e1,e1)
        & op(e0,e5) = op(e5,e0)
        & op(e2,e3) = op(e3,e2) )
    & op(e4,e5) = op(e5,e4)
    & op(e2,e5) = op(e5,e2)
    & op(e1,e2) = op(e2,e1)
    & op(e2,e4) = op(e4,e2)
    & op(e1,e3) = op(e3,e1)
    & op(e0,e2) = op(e2,e0)
    & op(e0,e4) = op(e4,e0)
    & op(e5,e5) = op(e5,e5)
    & op(e1,e2) = op(e2,e1)
    & op(e0,e4) = op(e4,e0)
    & op(e3,e5) = op(e5,e3)
    & op(e0,e3) = op(e3,e0)
    & op(e1,e1) = op(e1,e1)
    & op(e2,e5) = op(e5,e2)
    & op(e1,e5) = op(e5,e1)
    & op(e0,e3) = op(e3,e0)
    & op(e2,e3) = op(e3,e2)
    & op(e0,e1) = op(e1,e0)
    & op(e0,e0) = op(e0,e0)
    & op(e3,e5) = op(e5,e3)
    & op(e4,e4) = op(e4,e4)
    & op(e1,e4) = op(e4,e1)
    & op(e2,e3) = op(e3,e2)
    & op(e0,e5) = op(e5,e0)
    & op(e2,e2) = op(e2,e2)
    & op(e3,e4) = op(e4,e3)
    & op(e0,e1) = op(e1,e0)
    & op(e0,e5) = op(e5,e0) ),
    inference(flattening,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ~ ( op(e3,e3) = op(e3,e3)
        & op(e0,e2) = op(e2,e0)
        & op(e3,e4) = op(e4,e3)
        & op(e2,e4) = op(e4,e2)
        & op(e1,e5) = op(e5,e1)
        & op(e4,e5) = op(e5,e4)
        & op(e1,e3) = op(e3,e1)
        & op(e1,e4) = op(e4,e1)
        & ~ ( op(e3,e5) = op(e5,e3)
            & op(e3,e5) = op(e5,e3)
            & op(e0,e1) = op(e1,e0)
            & op(e3,e4) = op(e4,e3)
            & op(e2,e5) = op(e5,e2)
            & op(e1,e5) = op(e5,e1)
            & op(e0,e2) = op(e2,e0)
            & op(e1,e2) = op(e2,e1)
            & op(e0,e0) = op(e0,e0)
            & op(e2,e3) = op(e3,e2)
            & op(e0,e4) = op(e4,e0)
            & op(e3,e3) = op(e3,e3)
            & op(e0,e5) = op(e5,e0)
            & op(e3,e4) = op(e4,e3)
            & op(e4,e4) = op(e4,e4)
            & op(e5,e5) = op(e5,e5)
            & op(e2,e5) = op(e5,e2)
            & op(e0,e1) = op(e1,e0)
            & op(e0,e3) = op(e3,e0)
            & op(e1,e4) = op(e4,e1)
            & op(e1,e3) = op(e3,e1)
            & op(e0,e3) = op(e3,e0)
            & op(e2,e2) = op(e2,e2)
            & op(e1,e3) = op(e3,e1)
            & op(e4,e5) = op(e5,e4)
            & op(e1,e2) = op(e2,e1)
            & op(e0,e4) = op(e4,e0)
            & op(e1,e4) = op(e4,e1)
            & op(e1,e5) = op(e5,e1)
            & op(e2,e4) = op(e4,e2)
            & op(e4,e5) = op(e5,e4)
            & op(e2,e4) = op(e4,e2)
            & op(e0,e2) = op(e2,e0)
            & op(e1,e1) = op(e1,e1)
            & op(e0,e5) = op(e5,e0)
            & op(e2,e3) = op(e3,e2) )
        & op(e4,e5) = op(e5,e4)
        & op(e2,e5) = op(e5,e2)
        & op(e1,e2) = op(e2,e1)
        & op(e2,e4) = op(e4,e2)
        & op(e1,e3) = op(e3,e1)
        & op(e0,e2) = op(e2,e0)
        & op(e0,e4) = op(e4,e0)
        & op(e5,e5) = op(e5,e5)
        & op(e1,e2) = op(e2,e1)
        & op(e0,e4) = op(e4,e0)
        & op(e3,e5) = op(e5,e3)
        & op(e0,e3) = op(e3,e0)
        & op(e1,e1) = op(e1,e1)
        & op(e2,e5) = op(e5,e2)
        & op(e1,e5) = op(e5,e1)
        & op(e0,e3) = op(e3,e0)
        & op(e2,e3) = op(e3,e2)
        & op(e0,e1) = op(e1,e0)
        & op(e0,e0) = op(e0,e0)
        & op(e3,e5) = op(e5,e3)
        & op(e4,e4) = op(e4,e4)
        & op(e1,e4) = op(e4,e1)
        & op(e2,e3) = op(e3,e2)
        & op(e0,e5) = op(e5,e0)
        & op(e2,e2) = op(e2,e2)
        & op(e3,e4) = op(e4,e3)
        & op(e0,e1) = op(e1,e0)
        & op(e0,e5) = op(e5,e0) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ~ ( op(e3,e3) = op(e3,e3)
      & op(e0,e2) = op(e2,e0)
      & op(e3,e4) = op(e4,e3)
      & op(e2,e4) = op(e4,e2)
      & op(e1,e5) = op(e5,e1)
      & op(e4,e5) = op(e5,e4)
      & op(e1,e3) = op(e3,e1)
      & op(e1,e4) = op(e4,e1)
      & ~ ( op(e3,e5) = op(e5,e3)
          & op(e3,e5) = op(e5,e3)
          & op(e0,e1) = op(e1,e0)
          & op(e3,e4) = op(e4,e3)
          & op(e2,e5) = op(e5,e2)
          & op(e1,e5) = op(e5,e1)
          & op(e0,e2) = op(e2,e0)
          & op(e1,e2) = op(e2,e1)
          & op(e0,e0) = op(e0,e0)
          & op(e2,e3) = op(e3,e2)
          & op(e0,e4) = op(e4,e0)
          & op(e3,e3) = op(e3,e3)
          & op(e0,e5) = op(e5,e0)
          & op(e3,e4) = op(e4,e3)
          & op(e4,e4) = op(e4,e4)
          & op(e5,e5) = op(e5,e5)
          & op(e2,e5) = op(e5,e2)
          & op(e0,e1) = op(e1,e0)
          & op(e0,e3) = op(e3,e0)
          & op(e1,e4) = op(e4,e1)
          & op(e1,e3) = op(e3,e1)
          & op(e0,e3) = op(e3,e0)
          & op(e2,e2) = op(e2,e2)
          & op(e1,e3) = op(e3,e1)
          & op(e4,e5) = op(e5,e4)
          & op(e1,e2) = op(e2,e1)
          & op(e0,e4) = op(e4,e0)
          & op(e1,e4) = op(e4,e1)
          & op(e1,e5) = op(e5,e1)
          & op(e2,e4) = op(e4,e2)
          & op(e4,e5) = op(e5,e4)
          & op(e2,e4) = op(e4,e2)
          & op(e0,e2) = op(e2,e0)
          & op(e1,e1) = op(e1,e1)
          & op(e0,e5) = op(e5,e0)
          & op(e2,e3) = op(e3,e2) )
      & op(e4,e5) = op(e5,e4)
      & op(e2,e5) = op(e5,e2)
      & op(e1,e2) = op(e2,e1)
      & op(e2,e4) = op(e4,e2)
      & op(e1,e3) = op(e3,e1)
      & op(e0,e2) = op(e2,e0)
      & op(e0,e4) = op(e4,e0)
      & op(e5,e5) = op(e5,e5)
      & op(e1,e2) = op(e2,e1)
      & op(e0,e4) = op(e4,e0)
      & op(e3,e5) = op(e5,e3)
      & op(e0,e3) = op(e3,e0)
      & op(e1,e1) = op(e1,e1)
      & op(e2,e5) = op(e5,e2)
      & op(e1,e5) = op(e5,e1)
      & op(e0,e3) = op(e3,e0)
      & op(e2,e3) = op(e3,e2)
      & op(e0,e1) = op(e1,e0)
      & op(e0,e0) = op(e0,e0)
      & op(e3,e5) = op(e5,e3)
      & op(e4,e4) = op(e4,e4)
      & op(e1,e4) = op(e4,e1)
      & op(e2,e3) = op(e3,e2)
      & op(e0,e5) = op(e5,e0)
      & op(e2,e2) = op(e2,e2)
      & op(e3,e4) = op(e4,e3)
      & op(e0,e1) = op(e1,e0)
      & op(e0,e5) = op(e5,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1626,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f594,f696]) ).

fof(f696,plain,
    ( spl0_24
  <=> op(e1,e4) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f594,plain,
    op(e1,e4) = op(e4,e1),
    inference(cnf_transformation,[],[f15]) ).

fof(f1597,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f575,f744]) ).

fof(f744,plain,
    ( spl0_36
  <=> op(e2,e4) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f575,plain,
    op(e2,e4) = op(e4,e2),
    inference(cnf_transformation,[],[f15]) ).

fof(f1563,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f563,f740]) ).

fof(f740,plain,
    ( spl0_35
  <=> op(e0,e1) = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f563,plain,
    op(e0,e1) = op(e1,e0),
    inference(cnf_transformation,[],[f15]) ).

fof(f1561,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f580,f708]) ).

fof(f708,plain,
    ( spl0_27
  <=> op(e0,e5) = op(e5,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f580,plain,
    op(e0,e5) = op(e5,e0),
    inference(cnf_transformation,[],[f15]) ).

fof(f1534,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f578,f732]) ).

fof(f732,plain,
    ( spl0_33
  <=> op(e3,e5) = op(e5,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f578,plain,
    op(e3,e5) = op(e5,e3),
    inference(cnf_transformation,[],[f15]) ).

fof(f1507,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f567,f712]) ).

fof(f712,plain,
    ( spl0_28
  <=> op(e1,e5) = op(e5,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f567,plain,
    op(e1,e5) = op(e5,e1),
    inference(cnf_transformation,[],[f15]) ).

fof(f1467,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f560,f700]) ).

fof(f700,plain,
    ( spl0_25
  <=> op(e0,e3) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f560,plain,
    op(e0,e3) = op(e3,e0),
    inference(cnf_transformation,[],[f15]) ).

fof(f1416,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f593,f736]) ).

fof(f736,plain,
    ( spl0_34
  <=> op(e0,e4) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f593,plain,
    op(e0,e4) = op(e4,e0),
    inference(cnf_transformation,[],[f15]) ).

fof(f1415,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f569,f748]) ).

fof(f748,plain,
    ( spl0_37
  <=> op(e0,e2) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f569,plain,
    op(e0,e2) = op(e2,e0),
    inference(cnf_transformation,[],[f15]) ).

fof(f1413,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f566,f720]) ).

fof(f720,plain,
    ( spl0_30
  <=> op(e2,e5) = op(e5,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f566,plain,
    op(e2,e5) = op(e5,e2),
    inference(cnf_transformation,[],[f15]) ).

fof(f1326,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f586,f692]) ).

fof(f692,plain,
    ( spl0_23
  <=> op(e2,e3) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f586,plain,
    op(e2,e3) = op(e3,e2),
    inference(cnf_transformation,[],[f15]) ).

fof(f1187,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f590,f724]) ).

fof(f724,plain,
    ( spl0_31
  <=> op(e4,e5) = op(e5,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f590,plain,
    op(e4,e5) = op(e5,e4),
    inference(cnf_transformation,[],[f15]) ).

fof(f879,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f573,f704]) ).

fof(f704,plain,
    ( spl0_26
  <=> op(e1,e3) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f573,plain,
    op(e1,e3) = op(e3,e1),
    inference(cnf_transformation,[],[f15]) ).

fof(f877,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f577,f716]) ).

fof(f716,plain,
    ( spl0_29
  <=> op(e1,e2) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f577,plain,
    op(e1,e2) = op(e2,e1),
    inference(cnf_transformation,[],[f15]) ).

fof(f751,plain,
    ( ~ spl0_23
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_29
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_32
    | ~ spl0_33
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_36
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f596,f748,f744,f740,f736,f732,f728,f724,f720,f716,f712,f708,f704,f700,f696,f692]) ).

fof(f596,plain,
    ( op(e0,e2) != op(e2,e0)
    | op(e2,e4) != op(e4,e2)
    | op(e0,e1) != op(e1,e0)
    | op(e0,e4) != op(e4,e0)
    | op(e3,e5) != op(e5,e3)
    | op(e3,e4) != op(e4,e3)
    | op(e4,e5) != op(e5,e4)
    | op(e2,e5) != op(e5,e2)
    | op(e1,e2) != op(e2,e1)
    | op(e1,e5) != op(e5,e1)
    | op(e0,e5) != op(e5,e0)
    | op(e1,e3) != op(e3,e1)
    | op(e0,e3) != op(e3,e0)
    | op(e1,e4) != op(e4,e1)
    | op(e2,e3) != op(e3,e2) ),
    inference(trivial_inequality_removal,[],[f595]) ).

fof(f595,plain,
    ( op(e2,e4) != op(e4,e2)
    | op(e0,e3) != op(e3,e0)
    | op(e1,e1) != op(e1,e1)
    | op(e0,e2) != op(e2,e0)
    | op(e1,e2) != op(e2,e1)
    | op(e0,e5) != op(e5,e0)
    | op(e2,e3) != op(e3,e2)
    | op(e5,e5) != op(e5,e5)
    | op(e1,e5) != op(e5,e1)
    | op(e3,e3) != op(e3,e3)
    | op(e3,e5) != op(e5,e3)
    | op(e0,e1) != op(e1,e0)
    | op(e1,e4) != op(e4,e1)
    | op(e2,e2) != op(e2,e2)
    | op(e0,e4) != op(e4,e0)
    | op(e2,e5) != op(e5,e2)
    | op(e4,e4) != op(e4,e4)
    | op(e0,e0) != op(e0,e0)
    | op(e3,e4) != op(e4,e3)
    | op(e1,e3) != op(e3,e1)
    | op(e4,e5) != op(e5,e4) ),
    inference(duplicate_literal_removal,[],[f561]) ).

fof(f561,plain,
    ( op(e5,e5) != op(e5,e5)
    | op(e3,e5) != op(e5,e3)
    | op(e1,e3) != op(e3,e1)
    | op(e3,e4) != op(e4,e3)
    | op(e4,e5) != op(e5,e4)
    | op(e0,e4) != op(e4,e0)
    | op(e1,e5) != op(e5,e1)
    | op(e1,e4) != op(e4,e1)
    | op(e0,e5) != op(e5,e0)
    | op(e2,e5) != op(e5,e2)
    | op(e2,e4) != op(e4,e2)
    | op(e1,e1) != op(e1,e1)
    | op(e4,e4) != op(e4,e4)
    | op(e1,e4) != op(e4,e1)
    | op(e1,e5) != op(e5,e1)
    | op(e3,e5) != op(e5,e3)
    | op(e0,e2) != op(e2,e0)
    | op(e0,e1) != op(e1,e0)
    | op(e2,e3) != op(e3,e2)
    | op(e2,e5) != op(e5,e2)
    | op(e0,e3) != op(e3,e0)
    | op(e0,e2) != op(e2,e0)
    | op(e4,e5) != op(e5,e4)
    | op(e2,e3) != op(e3,e2)
    | op(e3,e3) != op(e3,e3)
    | op(e0,e3) != op(e3,e0)
    | op(e0,e4) != op(e4,e0)
    | op(e1,e2) != op(e2,e1)
    | op(e0,e1) != op(e1,e0)
    | op(e3,e4) != op(e4,e3)
    | op(e0,e0) != op(e0,e0)
    | op(e2,e2) != op(e2,e2)
    | op(e1,e2) != op(e2,e1)
    | op(e1,e3) != op(e3,e1)
    | op(e2,e4) != op(e4,e2)
    | op(e0,e5) != op(e5,e0) ),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ALG028+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 15:02:19 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.47  % (22899)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.47  % (22907)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47  % (22907)Instruction limit reached!
% 0.19/0.47  % (22907)------------------------------
% 0.19/0.47  % (22907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (22907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (22907)Termination reason: Unknown
% 0.19/0.47  % (22907)Termination phase: Property scanning
% 0.19/0.47  
% 0.19/0.47  % (22907)Memory used [KB]: 1791
% 0.19/0.47  % (22907)Time elapsed: 0.005 s
% 0.19/0.47  % (22907)Instructions burned: 7 (million)
% 0.19/0.47  % (22907)------------------------------
% 0.19/0.47  % (22907)------------------------------
% 0.19/0.51  % (22899)Instruction limit reached!
% 0.19/0.51  % (22899)------------------------------
% 0.19/0.51  % (22899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (22899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (22899)Termination reason: Unknown
% 0.19/0.51  % (22899)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (22899)Memory used [KB]: 7164
% 0.19/0.51  % (22899)Time elapsed: 0.041 s
% 0.19/0.51  % (22899)Instructions burned: 40 (million)
% 0.19/0.51  % (22899)------------------------------
% 0.19/0.51  % (22899)------------------------------
% 1.26/0.53  % (22914)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.26/0.54  % (22897)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.40/0.54  % (22906)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.40/0.54  % (22920)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.40/0.54  % (22906)Instruction limit reached!
% 1.40/0.54  % (22906)------------------------------
% 1.40/0.54  % (22906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54  % (22906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54  % (22906)Termination reason: Unknown
% 1.40/0.54  % (22906)Termination phase: Preprocessing 3
% 1.40/0.54  
% 1.40/0.54  % (22906)Memory used [KB]: 1663
% 1.40/0.54  % (22906)Time elapsed: 0.003 s
% 1.40/0.54  % (22906)Instructions burned: 4 (million)
% 1.40/0.54  % (22906)------------------------------
% 1.40/0.54  % (22906)------------------------------
% 1.40/0.54  % (22896)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.40/0.54  % (22893)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.40/0.54  % (22895)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.54  % (22894)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.40/0.55  % (22894)Instruction limit reached!
% 1.40/0.55  % (22894)------------------------------
% 1.40/0.55  % (22894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55  % (22894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55  % (22894)Termination reason: Unknown
% 1.40/0.55  % (22894)Termination phase: Clausification
% 1.40/0.55  
% 1.40/0.55  % (22894)Memory used [KB]: 1791
% 1.40/0.55  % (22894)Time elapsed: 0.003 s
% 1.40/0.55  % (22894)Instructions burned: 4 (million)
% 1.40/0.55  % (22894)------------------------------
% 1.40/0.55  % (22894)------------------------------
% 1.40/0.55  % (22898)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.40/0.55  % (22921)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.40/0.55  % (22896)Instruction limit reached!
% 1.40/0.55  % (22896)------------------------------
% 1.40/0.55  % (22896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55  % (22896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55  % (22896)Termination reason: Unknown
% 1.40/0.55  % (22896)Termination phase: Saturation
% 1.40/0.55  
% 1.40/0.55  % (22896)Memory used [KB]: 6268
% 1.40/0.55  % (22896)Time elapsed: 0.006 s
% 1.40/0.55  % (22896)Instructions burned: 13 (million)
% 1.40/0.55  % (22896)------------------------------
% 1.40/0.55  % (22896)------------------------------
% 1.40/0.55  % (22910)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.40/0.55  % (22910)Instruction limit reached!
% 1.40/0.55  % (22910)------------------------------
% 1.40/0.55  % (22910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55  % (22910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55  % (22910)Termination reason: Unknown
% 1.40/0.55  % (22910)Termination phase: shuffling
% 1.40/0.55  
% 1.40/0.55  % (22910)Memory used [KB]: 1535
% 1.40/0.55  % (22910)Time elapsed: 0.002 s
% 1.40/0.55  % (22910)Instructions burned: 2 (million)
% 1.40/0.55  % (22910)------------------------------
% 1.40/0.55  % (22910)------------------------------
% 1.40/0.55  % (22915)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.40/0.55  % (22912)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.40/0.55  % (22913)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.55  % (22909)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.40/0.55  % (22911)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.40/0.56  % (22902)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.40/0.56  % (22904)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.40/0.56  % (22905)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.56  % (22901)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.40/0.56  % (22903)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.40/0.56  % (22914)First to succeed.
% 1.40/0.56  % (22892)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.40/0.56  % (22917)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.40/0.56  % (22919)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.40/0.56  % (22897)Instruction limit reached!
% 1.40/0.56  % (22897)------------------------------
% 1.40/0.56  % (22897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.56  % (22897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.56  % (22897)Termination reason: Unknown
% 1.40/0.56  % (22897)Termination phase: Saturation
% 1.40/0.56  
% 1.40/0.56  % (22897)Memory used [KB]: 1918
% 1.40/0.56  % (22897)Time elapsed: 0.008 s
% 1.40/0.56  % (22897)Instructions burned: 15 (million)
% 1.40/0.56  % (22897)------------------------------
% 1.40/0.56  % (22897)------------------------------
% 1.40/0.56  % (22920)Instruction limit reached!
% 1.40/0.56  % (22920)------------------------------
% 1.40/0.56  % (22920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.56  % (22920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.56  % (22920)Termination reason: Unknown
% 1.40/0.56  % (22920)Termination phase: Property scanning
% 1.40/0.56  
% 1.40/0.56  % (22920)Memory used [KB]: 1791
% 1.40/0.56  % (22920)Time elapsed: 0.005 s
% 1.40/0.56  % (22920)Instructions burned: 9 (million)
% 1.40/0.56  % (22920)------------------------------
% 1.40/0.56  % (22920)------------------------------
% 1.40/0.57  % (22918)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.57  % (22893)Instruction limit reached!
% 1.40/0.57  % (22893)------------------------------
% 1.40/0.57  % (22893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.57  % (22893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.57  % (22893)Termination reason: Unknown
% 1.40/0.57  % (22893)Termination phase: Saturation
% 1.40/0.57  
% 1.40/0.57  % (22893)Memory used [KB]: 1791
% 1.40/0.57  % (22893)Time elapsed: 0.006 s
% 1.40/0.57  % (22893)Instructions burned: 13 (million)
% 1.40/0.57  % (22893)------------------------------
% 1.40/0.57  % (22893)------------------------------
% 1.40/0.57  % (22909)Instruction limit reached!
% 1.40/0.57  % (22909)------------------------------
% 1.40/0.57  % (22909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.57  % (22909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.57  % (22909)Termination reason: Unknown
% 1.40/0.57  % (22909)Termination phase: Clausification
% 1.40/0.57  
% 1.40/0.57  % (22909)Memory used [KB]: 1663
% 1.40/0.57  % (22909)Time elapsed: 0.003 s
% 1.40/0.57  % (22909)Instructions burned: 4 (million)
% 1.40/0.57  % (22909)------------------------------
% 1.40/0.57  % (22909)------------------------------
% 1.40/0.57  % (22904)Instruction limit reached!
% 1.40/0.57  % (22904)------------------------------
% 1.40/0.57  % (22904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.57  % (22904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.57  % (22904)Termination reason: Unknown
% 1.40/0.57  % (22904)Termination phase: Property scanning
% 1.40/0.57  
% 1.40/0.57  % (22904)Memory used [KB]: 1918
% 1.40/0.57  % (22904)Time elapsed: 0.007 s
% 1.40/0.57  % (22904)Instructions burned: 16 (million)
% 1.40/0.57  % (22904)------------------------------
% 1.40/0.57  % (22904)------------------------------
% 1.40/0.57  % (22900)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.40/0.57  % (22908)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.40/0.58  % (22911)Instruction limit reached!
% 1.40/0.58  % (22911)------------------------------
% 1.40/0.58  % (22911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.58  % (22911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.58  % (22911)Termination reason: Unknown
% 1.40/0.58  % (22911)Termination phase: Equality proxy
% 1.40/0.58  
% 1.40/0.58  % (22911)Memory used [KB]: 1791
% 1.40/0.58  % (22911)Time elapsed: 0.007 s
% 1.40/0.58  % (22911)Instructions burned: 14 (million)
% 1.40/0.58  % (22911)------------------------------
% 1.40/0.58  % (22911)------------------------------
% 1.40/0.58  % (22903)Instruction limit reached!
% 1.40/0.58  % (22903)------------------------------
% 1.40/0.58  % (22903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.58  % (22903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.58  % (22903)Termination reason: Unknown
% 1.40/0.58  % (22903)Termination phase: Property scanning
% 1.40/0.58  
% 1.40/0.58  % (22903)Memory used [KB]: 1791
% 1.40/0.58  % (22903)Time elapsed: 0.004 s
% 1.40/0.58  % (22903)Instructions burned: 7 (million)
% 1.40/0.58  % (22903)------------------------------
% 1.40/0.58  % (22903)------------------------------
% 1.40/0.58  % (22916)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.40/0.58  % (22902)Instruction limit reached!
% 1.40/0.58  % (22902)------------------------------
% 1.40/0.58  % (22902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.58  % (22902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.58  % (22902)Termination reason: Unknown
% 1.40/0.58  % (22902)Termination phase: Property scanning
% 1.40/0.58  
% 1.40/0.58  % (22902)Memory used [KB]: 1791
% 1.40/0.58  % (22902)Time elapsed: 0.006 s
% 1.40/0.58  % (22902)Instructions burned: 12 (million)
% 1.40/0.58  % (22902)------------------------------
% 1.40/0.58  % (22902)------------------------------
% 1.40/0.58  % (22898)Also succeeded, but the first one will report.
% 1.40/0.58  % (22914)Refutation found. Thanks to Tanya!
% 1.40/0.58  % SZS status Theorem for theBenchmark
% 1.40/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.58  % (22914)------------------------------
% 1.40/0.58  % (22914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.58  % (22914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.58  % (22914)Termination reason: Refutation
% 1.40/0.58  
% 1.40/0.58  % (22914)Memory used [KB]: 7036
% 1.40/0.58  % (22914)Time elapsed: 0.012 s
% 1.40/0.58  % (22914)Instructions burned: 20 (million)
% 1.40/0.58  % (22914)------------------------------
% 1.40/0.58  % (22914)------------------------------
% 1.40/0.58  % (22891)Success in time 0.234 s
%------------------------------------------------------------------------------