TSTP Solution File: SYN551+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN551+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 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 : n011.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 19:27:43 EDT 2022

% Result   : Theorem 0.17s 0.52s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   93 (   1 unt;   0 def)
%            Number of atoms       :  387 ( 229 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  516 ( 222   ~; 247   |;  23   &)
%                                         (  19 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   9 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :   93 (  73   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f167,plain,
    $false,
    inference(avatar_sat_refutation,[],[f30,f37,f41,f46,f50,f51,f56,f57,f71,f91,f124,f141,f166]) ).

fof(f166,plain,
    ( ~ spl4_2
    | ~ spl4_3
    | ~ spl4_5
    | ~ spl4_8 ),
    inference(avatar_contradiction_clause,[],[f165]) ).

fof(f165,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_5
    | ~ spl4_8 ),
    inference(trivial_inequality_removal,[],[f164]) ).

fof(f164,plain,
    ( f(sK3) != f(sK3)
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_5
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f163,f55]) ).

fof(f55,plain,
    ( sK3 = g(f(sK3))
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f53,plain,
    ( spl4_8
  <=> sK3 = g(f(sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f163,plain,
    ( f(g(f(sK3))) != f(sK3)
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(trivial_inequality_removal,[],[f162]) ).

fof(f162,plain,
    ( f(sK3) != f(sK3)
    | f(g(f(sK3))) != f(sK3)
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(superposition,[],[f29,f159]) ).

fof(f159,plain,
    ( sK0(f(sK3)) = f(sK3)
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(equality_resolution,[],[f156]) ).

fof(f156,plain,
    ( ! [X0] :
        ( f(sK3) != X0
        | sK0(X0) = X0 )
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(equality_factoring,[],[f152]) ).

fof(f152,plain,
    ( ! [X0] :
        ( sK0(X0) = f(sK3)
        | sK0(X0) = X0 )
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ( ! [X0] :
        ( sK0(X0) = f(sK3)
        | sK0(X0) = X0
        | sK0(X0) = X0 )
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(superposition,[],[f40,f149]) ).

fof(f149,plain,
    ( ! [X1] :
        ( g(sK0(X1)) = sK3
        | sK0(X1) = X1 )
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(trivial_inequality_removal,[],[f148]) ).

fof(f148,plain,
    ( ! [X1] :
        ( g(sK0(X1)) = sK3
        | sK0(X1) = X1
        | g(sK0(X1)) != g(sK0(X1)) )
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(superposition,[],[f33,f40]) ).

fof(f33,plain,
    ( ! [X7] :
        ( g(f(X7)) != X7
        | sK3 = X7 )
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl4_3
  <=> ! [X7] :
        ( g(f(X7)) != X7
        | sK3 = X7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f40,plain,
    ( ! [X0] :
        ( sK0(X0) = f(g(sK0(X0)))
        | sK0(X0) = X0 )
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f39,plain,
    ( spl4_5
  <=> ! [X0] :
        ( sK0(X0) = f(g(sK0(X0)))
        | sK0(X0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f29,plain,
    ( ! [X0] :
        ( sK0(X0) != f(g(sK0(X0)))
        | sK0(X0) != X0 )
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl4_2
  <=> ! [X0] :
        ( sK0(X0) != X0
        | sK0(X0) != f(g(sK0(X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f141,plain,
    ( ~ spl4_1
    | ~ spl4_3
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(avatar_contradiction_clause,[],[f140]) ).

fof(f140,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_3
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(subsumption_resolution,[],[f139,f55]) ).

fof(f139,plain,
    ( sK3 != g(f(sK3))
    | ~ spl4_1
    | ~ spl4_3
    | ~ spl4_7 ),
    inference(trivial_inequality_removal,[],[f138]) ).

fof(f138,plain,
    ( sK3 != sK3
    | sK3 != g(f(sK3))
    | ~ spl4_1
    | ~ spl4_3
    | ~ spl4_7 ),
    inference(superposition,[],[f26,f136]) ).

fof(f136,plain,
    ( sK3 = sK1(sK3)
    | ~ spl4_3
    | ~ spl4_7 ),
    inference(equality_resolution,[],[f134]) ).

fof(f134,plain,
    ( ! [X0] :
        ( sK3 != X0
        | sK1(X0) = X0 )
    | ~ spl4_3
    | ~ spl4_7 ),
    inference(equality_factoring,[],[f131]) ).

fof(f131,plain,
    ( ! [X1] :
        ( sK1(X1) = sK3
        | sK1(X1) = X1 )
    | ~ spl4_3
    | ~ spl4_7 ),
    inference(trivial_inequality_removal,[],[f130]) ).

fof(f130,plain,
    ( ! [X1] :
        ( sK1(X1) = X1
        | sK1(X1) != sK1(X1)
        | sK1(X1) = sK3 )
    | ~ spl4_3
    | ~ spl4_7 ),
    inference(superposition,[],[f33,f49]) ).

fof(f49,plain,
    ( ! [X2] :
        ( g(f(sK1(X2))) = sK1(X2)
        | sK1(X2) = X2 )
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f48,plain,
    ( spl4_7
  <=> ! [X2] :
        ( sK1(X2) = X2
        | g(f(sK1(X2))) = sK1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f26,plain,
    ( ! [X2] :
        ( g(f(sK1(X2))) != sK1(X2)
        | sK1(X2) != X2 )
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl4_1
  <=> ! [X2] :
        ( g(f(sK1(X2))) != sK1(X2)
        | sK1(X2) != X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f124,plain,
    ( ~ spl4_4
    | spl4_6
    | ~ spl4_8 ),
    inference(avatar_contradiction_clause,[],[f123]) ).

fof(f123,plain,
    ( $false
    | ~ spl4_4
    | spl4_6
    | ~ spl4_8 ),
    inference(subsumption_resolution,[],[f118,f116]) ).

fof(f116,plain,
    ( sK2 = f(sK3)
    | ~ spl4_4
    | ~ spl4_8 ),
    inference(trivial_inequality_removal,[],[f115]) ).

fof(f115,plain,
    ( f(sK3) != f(sK3)
    | sK2 = f(sK3)
    | ~ spl4_4
    | ~ spl4_8 ),
    inference(superposition,[],[f36,f55]) ).

fof(f36,plain,
    ( ! [X5] :
        ( f(g(X5)) != X5
        | sK2 = X5 )
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl4_4
  <=> ! [X5] :
        ( f(g(X5)) != X5
        | sK2 = X5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f118,plain,
    ( sK2 != f(sK3)
    | ~ spl4_4
    | spl4_6
    | ~ spl4_8 ),
    inference(backward_demodulation,[],[f44,f117]) ).

fof(f117,plain,
    ( sK3 = g(sK2)
    | ~ spl4_4
    | ~ spl4_8 ),
    inference(backward_demodulation,[],[f55,f116]) ).

fof(f44,plain,
    ( f(g(sK2)) != sK2
    | spl4_6 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl4_6
  <=> f(g(sK2)) = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f91,plain,
    ( ~ spl4_1
    | ~ spl4_4
    | ~ spl4_6
    | ~ spl4_7 ),
    inference(avatar_contradiction_clause,[],[f90]) ).

fof(f90,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_4
    | ~ spl4_6
    | ~ spl4_7 ),
    inference(trivial_inequality_removal,[],[f89]) ).

fof(f89,plain,
    ( g(sK2) != g(sK2)
    | ~ spl4_1
    | ~ spl4_4
    | ~ spl4_6
    | ~ spl4_7 ),
    inference(forward_demodulation,[],[f88,f45]) ).

fof(f45,plain,
    ( f(g(sK2)) = sK2
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f88,plain,
    ( g(sK2) != g(f(g(sK2)))
    | ~ spl4_1
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(trivial_inequality_removal,[],[f87]) ).

fof(f87,plain,
    ( g(sK2) != g(f(g(sK2)))
    | g(sK2) != g(sK2)
    | ~ spl4_1
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(superposition,[],[f26,f84]) ).

fof(f84,plain,
    ( g(sK2) = sK1(g(sK2))
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(equality_resolution,[],[f81]) ).

fof(f81,plain,
    ( ! [X0] :
        ( g(sK2) != X0
        | sK1(X0) = X0 )
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(equality_factoring,[],[f77]) ).

fof(f77,plain,
    ( ! [X0] :
        ( g(sK2) = sK1(X0)
        | sK1(X0) = X0 )
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(duplicate_literal_removal,[],[f75]) ).

fof(f75,plain,
    ( ! [X0] :
        ( g(sK2) = sK1(X0)
        | sK1(X0) = X0
        | sK1(X0) = X0 )
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(superposition,[],[f49,f74]) ).

fof(f74,plain,
    ( ! [X1] :
        ( sK2 = f(sK1(X1))
        | sK1(X1) = X1 )
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(trivial_inequality_removal,[],[f73]) ).

fof(f73,plain,
    ( ! [X1] :
        ( sK2 = f(sK1(X1))
        | f(sK1(X1)) != f(sK1(X1))
        | sK1(X1) = X1 )
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(superposition,[],[f36,f49]) ).

fof(f71,plain,
    ( ~ spl4_2
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(avatar_contradiction_clause,[],[f70]) ).

fof(f70,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f69,f45]) ).

fof(f69,plain,
    ( f(g(sK2)) != sK2
    | ~ spl4_2
    | ~ spl4_4
    | ~ spl4_5 ),
    inference(trivial_inequality_removal,[],[f68]) ).

fof(f68,plain,
    ( sK2 != sK2
    | f(g(sK2)) != sK2
    | ~ spl4_2
    | ~ spl4_4
    | ~ spl4_5 ),
    inference(superposition,[],[f29,f66]) ).

fof(f66,plain,
    ( sK0(sK2) = sK2
    | ~ spl4_4
    | ~ spl4_5 ),
    inference(equality_resolution,[],[f64]) ).

fof(f64,plain,
    ( ! [X0] :
        ( sK2 != X0
        | sK0(X0) = X0 )
    | ~ spl4_4
    | ~ spl4_5 ),
    inference(equality_factoring,[],[f61]) ).

fof(f61,plain,
    ( ! [X1] :
        ( sK2 = sK0(X1)
        | sK0(X1) = X1 )
    | ~ spl4_4
    | ~ spl4_5 ),
    inference(trivial_inequality_removal,[],[f60]) ).

fof(f60,plain,
    ( ! [X1] :
        ( sK0(X1) != sK0(X1)
        | sK2 = sK0(X1)
        | sK0(X1) = X1 )
    | ~ spl4_4
    | ~ spl4_5 ),
    inference(superposition,[],[f36,f40]) ).

fof(f57,plain,
    ( spl4_8
    | spl4_4 ),
    inference(avatar_split_clause,[],[f20,f35,f53]) ).

fof(f20,plain,
    ! [X5] :
      ( sK2 = X5
      | f(g(X5)) != X5
      | sK3 = g(f(sK3)) ),
    inference(equality_resolution,[],[f14]) ).

fof(f14,plain,
    ! [X7,X5] :
      ( sK2 = X5
      | f(g(X5)) != X5
      | g(f(X7)) = X7
      | sK3 != X7 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ( ( ! [X0] :
          ( ( sK0(X0) != f(g(sK0(X0)))
            | sK0(X0) != X0 )
          & ( sK0(X0) = f(g(sK0(X0)))
            | sK0(X0) = X0 ) )
      | ! [X2] :
          ( ( g(f(sK1(X2))) != sK1(X2)
            | sK1(X2) != X2 )
          & ( g(f(sK1(X2))) = sK1(X2)
            | sK1(X2) = X2 ) ) )
    & ( ! [X5] :
          ( ( sK2 = X5
            | f(g(X5)) != X5 )
          & ( f(g(X5)) = X5
            | sK2 != X5 ) )
      | ! [X7] :
          ( ( sK3 = X7
            | g(f(X7)) != X7 )
          & ( g(f(X7)) = X7
            | sK3 != X7 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f6,f10,f9,f8,f7]) ).

fof(f7,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( f(g(X1)) != X1
            | X0 != X1 )
          & ( f(g(X1)) = X1
            | X0 = X1 ) )
     => ( ( sK0(X0) != f(g(sK0(X0)))
          | sK0(X0) != X0 )
        & ( sK0(X0) = f(g(sK0(X0)))
          | sK0(X0) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ! [X2] :
      ( ? [X3] :
          ( ( g(f(X3)) != X3
            | X2 != X3 )
          & ( g(f(X3)) = X3
            | X2 = X3 ) )
     => ( ( g(f(sK1(X2))) != sK1(X2)
          | sK1(X2) != X2 )
        & ( g(f(sK1(X2))) = sK1(X2)
          | sK1(X2) = X2 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ? [X4] :
      ! [X5] :
        ( ( X4 = X5
          | f(g(X5)) != X5 )
        & ( f(g(X5)) = X5
          | X4 != X5 ) )
   => ! [X5] :
        ( ( sK2 = X5
          | f(g(X5)) != X5 )
        & ( f(g(X5)) = X5
          | sK2 != X5 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ( ? [X6] :
      ! [X7] :
        ( ( X6 = X7
          | g(f(X7)) != X7 )
        & ( g(f(X7)) = X7
          | X6 != X7 ) )
   => ! [X7] :
        ( ( sK3 = X7
          | g(f(X7)) != X7 )
        & ( g(f(X7)) = X7
          | sK3 != X7 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ( ( ! [X0] :
        ? [X1] :
          ( ( f(g(X1)) != X1
            | X0 != X1 )
          & ( f(g(X1)) = X1
            | X0 = X1 ) )
      | ! [X2] :
        ? [X3] :
          ( ( g(f(X3)) != X3
            | X2 != X3 )
          & ( g(f(X3)) = X3
            | X2 = X3 ) ) )
    & ( ? [X4] :
        ! [X5] :
          ( ( X4 = X5
            | f(g(X5)) != X5 )
          & ( f(g(X5)) = X5
            | X4 != X5 ) )
      | ? [X6] :
        ! [X7] :
          ( ( X6 = X7
            | g(f(X7)) != X7 )
          & ( g(f(X7)) = X7
            | X6 != X7 ) ) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X0] :
        ? [X1] :
          ( ( f(g(X1)) != X1
            | X0 != X1 )
          & ( f(g(X1)) = X1
            | X0 = X1 ) )
      | ! [X2] :
        ? [X3] :
          ( ( g(f(X3)) != X3
            | X2 != X3 )
          & ( g(f(X3)) = X3
            | X2 = X3 ) ) )
    & ( ? [X0] :
        ! [X1] :
          ( ( X0 = X1
            | f(g(X1)) != X1 )
          & ( f(g(X1)) = X1
            | X0 != X1 ) )
      | ? [X2] :
        ! [X3] :
          ( ( X2 = X3
            | g(f(X3)) != X3 )
          & ( g(f(X3)) = X3
            | X2 != X3 ) ) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ? [X2] :
      ! [X3] :
        ( X2 = X3
      <=> g(f(X3)) = X3 )
  <~> ? [X0] :
      ! [X1] :
        ( X0 = X1
      <=> f(g(X1)) = X1 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ? [X0] :
        ! [X1] :
          ( X0 = X1
        <=> f(g(X1)) = X1 )
    <=> ? [X2] :
        ! [X3] :
          ( X2 = X3
        <=> g(f(X3)) = X3 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ? [X0] :
        ! [X1] :
          ( X0 = X1
        <=> f(g(X1)) = X1 )
    <=> ? [X0] :
        ! [X1] :
          ( g(f(X1)) = X1
        <=> X0 = X1 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ? [X0] :
      ! [X1] :
        ( X0 = X1
      <=> f(g(X1)) = X1 )
  <=> ? [X0] :
      ! [X1] :
        ( g(f(X1)) = X1
      <=> X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_cute_thing) ).

fof(f56,plain,
    ( spl4_8
    | spl4_6 ),
    inference(avatar_split_clause,[],[f23,f43,f53]) ).

fof(f23,plain,
    ( f(g(sK2)) = sK2
    | sK3 = g(f(sK3)) ),
    inference(equality_resolution,[],[f22]) ).

fof(f22,plain,
    ! [X7] :
      ( f(g(sK2)) = sK2
      | g(f(X7)) = X7
      | sK3 != X7 ),
    inference(equality_resolution,[],[f12]) ).

fof(f12,plain,
    ! [X7,X5] :
      ( f(g(X5)) = X5
      | sK2 != X5
      | g(f(X7)) = X7
      | sK3 != X7 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f51,plain,
    ( spl4_2
    | spl4_7 ),
    inference(avatar_split_clause,[],[f18,f48,f28]) ).

fof(f18,plain,
    ! [X2,X0] :
      ( g(f(sK1(X2))) = sK1(X2)
      | sK1(X2) = X2
      | sK0(X0) != f(g(sK0(X0)))
      | sK0(X0) != X0 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f50,plain,
    ( spl4_5
    | spl4_7 ),
    inference(avatar_split_clause,[],[f16,f48,f39]) ).

fof(f16,plain,
    ! [X2,X0] :
      ( sK1(X2) = X2
      | sK0(X0) = X0
      | sK0(X0) = f(g(sK0(X0)))
      | g(f(sK1(X2))) = sK1(X2) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f46,plain,
    ( spl4_6
    | spl4_3 ),
    inference(avatar_split_clause,[],[f21,f32,f43]) ).

fof(f21,plain,
    ! [X7] :
      ( sK3 = X7
      | g(f(X7)) != X7
      | f(g(sK2)) = sK2 ),
    inference(equality_resolution,[],[f13]) ).

fof(f13,plain,
    ! [X7,X5] :
      ( f(g(X5)) = X5
      | sK2 != X5
      | sK3 = X7
      | g(f(X7)) != X7 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f41,plain,
    ( spl4_1
    | spl4_5 ),
    inference(avatar_split_clause,[],[f17,f39,f25]) ).

fof(f17,plain,
    ! [X2,X0] :
      ( sK0(X0) = f(g(sK0(X0)))
      | sK0(X0) = X0
      | g(f(sK1(X2))) != sK1(X2)
      | sK1(X2) != X2 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f37,plain,
    ( spl4_3
    | spl4_4 ),
    inference(avatar_split_clause,[],[f15,f35,f32]) ).

fof(f15,plain,
    ! [X7,X5] :
      ( f(g(X5)) != X5
      | sK2 = X5
      | g(f(X7)) != X7
      | sK3 = X7 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f30,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f19,f28,f25]) ).

fof(f19,plain,
    ! [X2,X0] :
      ( sK0(X0) != X0
      | g(f(sK1(X2))) != sK1(X2)
      | sK0(X0) != f(g(sK0(X0)))
      | sK1(X2) != X2 ),
    inference(cnf_transformation,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYN551+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n011.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.32  % CPULimit   : 300
% 0.17/0.32  % WCLimit    : 300
% 0.17/0.32  % DateTime   : Tue Aug 30 22:04:55 EDT 2022
% 0.17/0.32  % CPUTime    : 
% 0.17/0.48  % (21997)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)
% 0.17/0.49  % (21988)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)
% 0.17/0.49  % (21979)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)
% 0.17/0.49  % (21997)Refutation not found, incomplete strategy% (21997)------------------------------
% 0.17/0.49  % (21997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  % (21997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (21997)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.49  
% 0.17/0.49  % (21997)Memory used [KB]: 5884
% 0.17/0.49  % (21997)Time elapsed: 0.060 s
% 0.17/0.49  % (21997)Instructions burned: 3 (million)
% 0.17/0.49  % (21997)------------------------------
% 0.17/0.49  % (21997)------------------------------
% 0.17/0.50  % (21980)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)
% 0.17/0.50  % (21988)Instruction limit reached!
% 0.17/0.50  % (21988)------------------------------
% 0.17/0.50  % (21988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (21988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (21988)Termination reason: Unknown
% 0.17/0.50  % (21988)Termination phase: Saturation
% 0.17/0.50  
% 0.17/0.50  % (21988)Memory used [KB]: 6012
% 0.17/0.50  % (21988)Time elapsed: 0.066 s
% 0.17/0.50  % (21988)Instructions burned: 8 (million)
% 0.17/0.50  % (21988)------------------------------
% 0.17/0.50  % (21988)------------------------------
% 0.17/0.50  % (21987)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)
% 0.17/0.50  % (21987)Instruction limit reached!
% 0.17/0.50  % (21987)------------------------------
% 0.17/0.50  % (21987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (21987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (21987)Termination reason: Unknown
% 0.17/0.50  % (21987)Termination phase: Saturation
% 0.17/0.50  
% 0.17/0.50  % (21987)Memory used [KB]: 5884
% 0.17/0.50  % (21987)Time elapsed: 0.123 s
% 0.17/0.50  % (21987)Instructions burned: 3 (million)
% 0.17/0.50  % (21987)------------------------------
% 0.17/0.50  % (21987)------------------------------
% 0.17/0.50  % (21996)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)
% 0.17/0.50  % (21979)First to succeed.
% 0.17/0.52  % (21980)Also succeeded, but the first one will report.
% 0.17/0.52  % (21979)Refutation found. Thanks to Tanya!
% 0.17/0.52  % SZS status Theorem for theBenchmark
% 0.17/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52  % (21979)------------------------------
% 0.17/0.52  % (21979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (21979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (21979)Termination reason: Refutation
% 0.17/0.52  
% 0.17/0.52  % (21979)Memory used [KB]: 6012
% 0.17/0.52  % (21979)Time elapsed: 0.106 s
% 0.17/0.52  % (21979)Instructions burned: 7 (million)
% 0.17/0.52  % (21979)------------------------------
% 0.17/0.52  % (21979)------------------------------
% 0.17/0.52  % (21972)Success in time 0.185 s
%------------------------------------------------------------------------------