TSTP Solution File: SWC422+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC422+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:41:06 EDT 2022

% Result   : Theorem 1.36s 0.54s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   53 (   5 unt;   0 def)
%            Number of atoms       :  399 ( 117 equ)
%            Maximal formula atoms :   38 (   7 avg)
%            Number of connectives :  513 ( 167   ~; 146   |; 172   &)
%                                         (   7 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  138 (  62   !;  76   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f268,plain,
    $false,
    inference(avatar_sat_refutation,[],[f223,f233,f244,f249,f250,f252,f254,f262]) ).

fof(f262,plain,
    ( ~ spl11_3
    | ~ spl11_5
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(avatar_contradiction_clause,[],[f261]) ).

fof(f261,plain,
    ( $false
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(subsumption_resolution,[],[f260,f227]) ).

fof(f227,plain,
    ( ssList(sK8)
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f225,plain,
    ( spl11_5
  <=> ssList(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f260,plain,
    ( ~ ssList(sK8)
    | ~ spl11_3
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(subsumption_resolution,[],[f259,f248]) ).

fof(f248,plain,
    ( sK5 = app(app(sK7,cons(sK6,nil)),sK8)
    | ~ spl11_9 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl11_9
  <=> sK5 = app(app(sK7,cons(sK6,nil)),sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).

fof(f259,plain,
    ( sK5 != app(app(sK7,cons(sK6,nil)),sK8)
    | ~ ssList(sK8)
    | ~ spl11_3
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_8 ),
    inference(subsumption_resolution,[],[f258,f217]) ).

fof(f217,plain,
    ( ssItem(sK6)
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl11_3
  <=> ssItem(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f258,plain,
    ( ~ ssItem(sK6)
    | sK5 != app(app(sK7,cons(sK6,nil)),sK8)
    | ~ ssList(sK8)
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_8 ),
    inference(subsumption_resolution,[],[f257,f242]) ).

fof(f242,plain,
    ( ssList(sK7)
    | ~ spl11_8 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl11_8
  <=> ssList(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).

fof(f257,plain,
    ( ~ ssList(sK7)
    | ~ ssList(sK8)
    | ~ ssItem(sK6)
    | sK5 != app(app(sK7,cons(sK6,nil)),sK8)
    | ~ spl11_6
    | ~ spl11_7 ),
    inference(trivial_inequality_removal,[],[f255]) ).

fof(f255,plain,
    ( sK4 != sK4
    | ~ ssItem(sK6)
    | ~ ssList(sK8)
    | sK5 != app(app(sK7,cons(sK6,nil)),sK8)
    | ~ ssList(sK7)
    | ~ spl11_6
    | ~ spl11_7 ),
    inference(superposition,[],[f236,f232]) ).

fof(f232,plain,
    ( sK4 = app(app(sK8,cons(sK6,nil)),sK7)
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl11_6
  <=> sK4 = app(app(sK8,cons(sK6,nil)),sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f236,plain,
    ( ! [X8,X9,X7] :
        ( app(app(X9,cons(X7,nil)),X8) != sK4
        | ~ ssList(X9)
        | ~ ssItem(X7)
        | ~ ssList(X8)
        | app(app(X8,cons(X7,nil)),X9) != sK5 )
    | ~ spl11_7 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl11_7
  <=> ! [X9,X8,X7] :
        ( ~ ssList(X8)
        | ~ ssList(X9)
        | app(app(X8,cons(X7,nil)),X9) != sK5
        | app(app(X9,cons(X7,nil)),X8) != sK4
        | ~ ssItem(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).

fof(f254,plain,
    ( ~ spl11_4
    | spl11_7 ),
    inference(avatar_split_clause,[],[f194,f235,f219]) ).

fof(f219,plain,
    ( spl11_4
  <=> neq(sK5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f194,plain,
    ! [X8,X9,X7] :
      ( app(app(X9,cons(X7,nil)),X8) != sK4
      | app(app(X8,cons(X7,nil)),X9) != sK5
      | ~ neq(sK5,nil)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssList(X9) ),
    inference(definition_unfolding,[],[f151,f167,f165]) ).

fof(f165,plain,
    sK2 = sK4,
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ( sK3 = sK5
    & ssList(sK5)
    & sK2 = sK4
    & ( ( neq(sK3,nil)
        & ~ neq(sK5,nil) )
      | ( neq(sK3,nil)
        & ssItem(sK6)
        & ssList(sK7)
        & sK5 = app(app(sK7,cons(sK6,nil)),sK8)
        & sK4 = app(app(sK8,cons(sK6,nil)),sK7)
        & ssList(sK8)
        & ! [X7] :
            ( ! [X8] :
                ( ~ ssList(X8)
                | ! [X9] :
                    ( app(app(X8,cons(X7,nil)),X9) != sK3
                    | ~ ssList(X9)
                    | app(app(X9,cons(X7,nil)),X8) != sK2 ) )
            | ~ ssItem(X7) ) ) )
    & ssList(sK4)
    & ssList(sK3)
    & ssList(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f123,f130,f129,f128,f127,f126,f125,f124]) ).

fof(f124,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( X1 = X3
                    & ssList(X3)
                    & X0 = X2
                    & ( ( neq(X1,nil)
                        & ~ neq(X3,nil) )
                      | ( neq(X1,nil)
                        & ? [X4] :
                            ( ssItem(X4)
                            & ? [X5] :
                                ( ssList(X5)
                                & ? [X6] :
                                    ( app(app(X5,cons(X4,nil)),X6) = X3
                                    & app(app(X6,cons(X4,nil)),X5) = X2
                                    & ssList(X6) ) ) )
                        & ! [X7] :
                            ( ! [X8] :
                                ( ~ ssList(X8)
                                | ! [X9] :
                                    ( app(app(X8,cons(X7,nil)),X9) != X1
                                    | ~ ssList(X9)
                                    | app(app(X9,cons(X7,nil)),X8) != X0 ) )
                            | ~ ssItem(X7) ) ) ) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & ssList(X3)
                  & sK2 = X2
                  & ( ( neq(X1,nil)
                      & ~ neq(X3,nil) )
                    | ( neq(X1,nil)
                      & ? [X4] :
                          ( ssItem(X4)
                          & ? [X5] :
                              ( ssList(X5)
                              & ? [X6] :
                                  ( app(app(X5,cons(X4,nil)),X6) = X3
                                  & app(app(X6,cons(X4,nil)),X5) = X2
                                  & ssList(X6) ) ) )
                      & ! [X7] :
                          ( ! [X8] :
                              ( ~ ssList(X8)
                              | ! [X9] :
                                  ( app(app(X8,cons(X7,nil)),X9) != X1
                                  | ~ ssList(X9)
                                  | app(app(X9,cons(X7,nil)),X8) != sK2 ) )
                          | ~ ssItem(X7) ) ) ) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( X1 = X3
                & ssList(X3)
                & sK2 = X2
                & ( ( neq(X1,nil)
                    & ~ neq(X3,nil) )
                  | ( neq(X1,nil)
                    & ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & ? [X6] :
                                ( app(app(X5,cons(X4,nil)),X6) = X3
                                & app(app(X6,cons(X4,nil)),X5) = X2
                                & ssList(X6) ) ) )
                    & ! [X7] :
                        ( ! [X8] :
                            ( ~ ssList(X8)
                            | ! [X9] :
                                ( app(app(X8,cons(X7,nil)),X9) != X1
                                | ~ ssList(X9)
                                | app(app(X9,cons(X7,nil)),X8) != sK2 ) )
                        | ~ ssItem(X7) ) ) ) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( sK3 = X3
              & ssList(X3)
              & sK2 = X2
              & ( ( neq(sK3,nil)
                  & ~ neq(X3,nil) )
                | ( neq(sK3,nil)
                  & ? [X4] :
                      ( ssItem(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & ? [X6] :
                              ( app(app(X5,cons(X4,nil)),X6) = X3
                              & app(app(X6,cons(X4,nil)),X5) = X2
                              & ssList(X6) ) ) )
                  & ! [X7] :
                      ( ! [X8] :
                          ( ~ ssList(X8)
                          | ! [X9] :
                              ( app(app(X8,cons(X7,nil)),X9) != sK3
                              | ~ ssList(X9)
                              | app(app(X9,cons(X7,nil)),X8) != sK2 ) )
                      | ~ ssItem(X7) ) ) ) )
          & ssList(X2) )
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( sK3 = X3
            & ssList(X3)
            & sK2 = X2
            & ( ( neq(sK3,nil)
                & ~ neq(X3,nil) )
              | ( neq(sK3,nil)
                & ? [X4] :
                    ( ssItem(X4)
                    & ? [X5] :
                        ( ssList(X5)
                        & ? [X6] :
                            ( app(app(X5,cons(X4,nil)),X6) = X3
                            & app(app(X6,cons(X4,nil)),X5) = X2
                            & ssList(X6) ) ) )
                & ! [X7] :
                    ( ! [X8] :
                        ( ~ ssList(X8)
                        | ! [X9] :
                            ( app(app(X8,cons(X7,nil)),X9) != sK3
                            | ~ ssList(X9)
                            | app(app(X9,cons(X7,nil)),X8) != sK2 ) )
                    | ~ ssItem(X7) ) ) ) )
        & ssList(X2) )
   => ( ? [X3] :
          ( sK3 = X3
          & ssList(X3)
          & sK2 = sK4
          & ( ( neq(sK3,nil)
              & ~ neq(X3,nil) )
            | ( neq(sK3,nil)
              & ? [X4] :
                  ( ssItem(X4)
                  & ? [X5] :
                      ( ssList(X5)
                      & ? [X6] :
                          ( app(app(X5,cons(X4,nil)),X6) = X3
                          & app(app(X6,cons(X4,nil)),X5) = sK4
                          & ssList(X6) ) ) )
              & ! [X7] :
                  ( ! [X8] :
                      ( ~ ssList(X8)
                      | ! [X9] :
                          ( app(app(X8,cons(X7,nil)),X9) != sK3
                          | ~ ssList(X9)
                          | app(app(X9,cons(X7,nil)),X8) != sK2 ) )
                  | ~ ssItem(X7) ) ) ) )
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ( ? [X3] :
        ( sK3 = X3
        & ssList(X3)
        & sK2 = sK4
        & ( ( neq(sK3,nil)
            & ~ neq(X3,nil) )
          | ( neq(sK3,nil)
            & ? [X4] :
                ( ssItem(X4)
                & ? [X5] :
                    ( ssList(X5)
                    & ? [X6] :
                        ( app(app(X5,cons(X4,nil)),X6) = X3
                        & app(app(X6,cons(X4,nil)),X5) = sK4
                        & ssList(X6) ) ) )
            & ! [X7] :
                ( ! [X8] :
                    ( ~ ssList(X8)
                    | ! [X9] :
                        ( app(app(X8,cons(X7,nil)),X9) != sK3
                        | ~ ssList(X9)
                        | app(app(X9,cons(X7,nil)),X8) != sK2 ) )
                | ~ ssItem(X7) ) ) ) )
   => ( sK3 = sK5
      & ssList(sK5)
      & sK2 = sK4
      & ( ( neq(sK3,nil)
          & ~ neq(sK5,nil) )
        | ( neq(sK3,nil)
          & ? [X4] :
              ( ssItem(X4)
              & ? [X5] :
                  ( ssList(X5)
                  & ? [X6] :
                      ( app(app(X5,cons(X4,nil)),X6) = sK5
                      & app(app(X6,cons(X4,nil)),X5) = sK4
                      & ssList(X6) ) ) )
          & ! [X7] :
              ( ! [X8] :
                  ( ~ ssList(X8)
                  | ! [X9] :
                      ( app(app(X8,cons(X7,nil)),X9) != sK3
                      | ~ ssList(X9)
                      | app(app(X9,cons(X7,nil)),X8) != sK2 ) )
              | ~ ssItem(X7) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( ? [X4] :
        ( ssItem(X4)
        & ? [X5] :
            ( ssList(X5)
            & ? [X6] :
                ( app(app(X5,cons(X4,nil)),X6) = sK5
                & app(app(X6,cons(X4,nil)),X5) = sK4
                & ssList(X6) ) ) )
   => ( ssItem(sK6)
      & ? [X5] :
          ( ssList(X5)
          & ? [X6] :
              ( app(app(X5,cons(sK6,nil)),X6) = sK5
              & sK4 = app(app(X6,cons(sK6,nil)),X5)
              & ssList(X6) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ( ? [X5] :
        ( ssList(X5)
        & ? [X6] :
            ( app(app(X5,cons(sK6,nil)),X6) = sK5
            & sK4 = app(app(X6,cons(sK6,nil)),X5)
            & ssList(X6) ) )
   => ( ssList(sK7)
      & ? [X6] :
          ( app(app(sK7,cons(sK6,nil)),X6) = sK5
          & sK4 = app(app(X6,cons(sK6,nil)),sK7)
          & ssList(X6) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ( ? [X6] :
        ( app(app(sK7,cons(sK6,nil)),X6) = sK5
        & sK4 = app(app(X6,cons(sK6,nil)),sK7)
        & ssList(X6) )
   => ( sK5 = app(app(sK7,cons(sK6,nil)),sK8)
      & sK4 = app(app(sK8,cons(sK6,nil)),sK7)
      & ssList(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & ssList(X3)
                  & X0 = X2
                  & ( ( neq(X1,nil)
                      & ~ neq(X3,nil) )
                    | ( neq(X1,nil)
                      & ? [X4] :
                          ( ssItem(X4)
                          & ? [X5] :
                              ( ssList(X5)
                              & ? [X6] :
                                  ( app(app(X5,cons(X4,nil)),X6) = X3
                                  & app(app(X6,cons(X4,nil)),X5) = X2
                                  & ssList(X6) ) ) )
                      & ! [X7] :
                          ( ! [X8] :
                              ( ~ ssList(X8)
                              | ! [X9] :
                                  ( app(app(X8,cons(X7,nil)),X9) != X1
                                  | ~ ssList(X9)
                                  | app(app(X9,cons(X7,nil)),X8) != X0 ) )
                          | ~ ssItem(X7) ) ) ) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(rectify,[],[f104]) ).

fof(f104,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & ssList(X3)
                  & X0 = X2
                  & ( ( neq(X1,nil)
                      & ~ neq(X3,nil) )
                    | ( neq(X1,nil)
                      & ? [X7] :
                          ( ssItem(X7)
                          & ? [X8] :
                              ( ssList(X8)
                              & ? [X9] :
                                  ( app(app(X8,cons(X7,nil)),X9) = X3
                                  & app(app(X9,cons(X7,nil)),X8) = X2
                                  & ssList(X9) ) ) )
                      & ! [X4] :
                          ( ! [X5] :
                              ( ~ ssList(X5)
                              | ! [X6] :
                                  ( app(app(X5,cons(X4,nil)),X6) != X1
                                  | ~ ssList(X6)
                                  | app(app(X6,cons(X4,nil)),X5) != X0 ) )
                          | ~ ssItem(X4) ) ) ) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ( ( neq(X1,nil)
                      & ~ neq(X3,nil) )
                    | ( ! [X4] :
                          ( ! [X5] :
                              ( ~ ssList(X5)
                              | ! [X6] :
                                  ( app(app(X5,cons(X4,nil)),X6) != X1
                                  | ~ ssList(X6)
                                  | app(app(X6,cons(X4,nil)),X5) != X0 ) )
                          | ~ ssItem(X4) )
                      & ? [X7] :
                          ( ? [X8] :
                              ( ? [X9] :
                                  ( app(app(X8,cons(X7,nil)),X9) = X3
                                  & app(app(X9,cons(X7,nil)),X8) = X2
                                  & ssList(X9) )
                              & ssList(X8) )
                          & ssItem(X7) )
                      & neq(X1,nil) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X1 != X3
                      | X0 != X2
                      | ( ( neq(X3,nil)
                          | ~ neq(X1,nil) )
                        & ( ? [X4] :
                              ( ssItem(X4)
                              & ? [X5] :
                                  ( ? [X6] :
                                      ( app(app(X6,cons(X4,nil)),X5) = X0
                                      & ssList(X6)
                                      & app(app(X5,cons(X4,nil)),X6) = X1 )
                                  & ssList(X5) ) )
                          | ! [X7] :
                              ( ssItem(X7)
                             => ! [X8] :
                                  ( ssList(X8)
                                 => ! [X9] :
                                      ( ssList(X9)
                                     => ( app(app(X8,cons(X7,nil)),X9) != X3
                                        | app(app(X9,cons(X7,nil)),X8) != X2 ) ) ) )
                          | ~ neq(X1,nil) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ( ( neq(X3,nil)
                        | ~ neq(X1,nil) )
                      & ( ? [X4] :
                            ( ssItem(X4)
                            & ? [X5] :
                                ( ? [X6] :
                                    ( app(app(X6,cons(X4,nil)),X5) = X0
                                    & ssList(X6)
                                    & app(app(X5,cons(X4,nil)),X6) = X1 )
                                & ssList(X5) ) )
                        | ! [X7] :
                            ( ssItem(X7)
                           => ! [X8] :
                                ( ssList(X8)
                               => ! [X9] :
                                    ( ssList(X9)
                                   => ( app(app(X8,cons(X7,nil)),X9) != X3
                                      | app(app(X9,cons(X7,nil)),X8) != X2 ) ) ) )
                        | ~ neq(X1,nil) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f167,plain,
    sK3 = sK5,
    inference(cnf_transformation,[],[f131]) ).

fof(f151,plain,
    ! [X8,X9,X7] :
      ( ~ neq(sK5,nil)
      | ~ ssList(X8)
      | app(app(X8,cons(X7,nil)),X9) != sK3
      | ~ ssList(X9)
      | app(app(X9,cons(X7,nil)),X8) != sK2
      | ~ ssItem(X7) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f252,plain,
    ( spl11_8
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f155,f219,f240]) ).

fof(f155,plain,
    ( ~ neq(sK5,nil)
    | ssList(sK7) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f250,plain,
    ( ~ spl11_4
    | spl11_5 ),
    inference(avatar_split_clause,[],[f152,f225,f219]) ).

fof(f152,plain,
    ( ssList(sK8)
    | ~ neq(sK5,nil) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f249,plain,
    ( spl11_9
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f154,f219,f246]) ).

fof(f154,plain,
    ( ~ neq(sK5,nil)
    | sK5 = app(app(sK7,cons(sK6,nil)),sK8) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f244,plain,
    spl11_4,
    inference(avatar_split_clause,[],[f201,f219]) ).

fof(f201,plain,
    neq(sK5,nil),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ( neq(sK5,nil)
    | neq(sK5,nil) ),
    inference(definition_unfolding,[],[f164,f167,f167]) ).

fof(f164,plain,
    ( neq(sK3,nil)
    | neq(sK3,nil) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f233,plain,
    ( spl11_6
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f153,f219,f230]) ).

fof(f153,plain,
    ( ~ neq(sK5,nil)
    | sK4 = app(app(sK8,cons(sK6,nil)),sK7) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f223,plain,
    ( spl11_3
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f156,f219,f215]) ).

fof(f156,plain,
    ( ~ neq(sK5,nil)
    | ssItem(sK6) ),
    inference(cnf_transformation,[],[f131]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC422+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:20:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 1.23/0.51  % (31870)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)
% 1.23/0.51  % (31856)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)
% 1.23/0.52  % (31853)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)
% 1.23/0.52  % (31859)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)
% 1.23/0.52  % (31875)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)
% 1.23/0.52  % (31863)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)
% 1.23/0.52  % (31862)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)
% 1.23/0.52  % (31847)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.23/0.52  % (31874)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)
% 1.23/0.52  % (31855)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)
% 1.23/0.53  % (31875)Instruction limit reached!
% 1.23/0.53  % (31875)------------------------------
% 1.23/0.53  % (31875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53  % (31857)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)
% 1.36/0.53  % (31851)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)
% 1.36/0.53  % (31848)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)
% 1.36/0.53  % (31867)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)
% 1.36/0.53  % (31857)Refutation not found, incomplete strategy% (31857)------------------------------
% 1.36/0.53  % (31857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53  % (31857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53  % (31857)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.53  
% 1.36/0.53  % (31857)Memory used [KB]: 6140
% 1.36/0.53  % (31857)Time elapsed: 0.123 s
% 1.36/0.53  % (31857)Instructions burned: 5 (million)
% 1.36/0.53  % (31857)------------------------------
% 1.36/0.53  % (31857)------------------------------
% 1.36/0.53  % (31861)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)
% 1.36/0.53  % (31875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53  % (31875)Termination reason: Unknown
% 1.36/0.53  % (31875)Termination phase: Function definition elimination
% 1.36/0.53  
% 1.36/0.53  % (31875)Memory used [KB]: 1791
% 1.36/0.53  % (31854)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)
% 1.36/0.53  % (31875)Time elapsed: 0.007 s
% 1.36/0.53  % (31851)First to succeed.
% 1.36/0.53  % (31876)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)
% 1.36/0.53  % (31875)Instructions burned: 8 (million)
% 1.36/0.53  % (31875)------------------------------
% 1.36/0.53  % (31875)------------------------------
% 1.36/0.53  % (31850)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)
% 1.36/0.53  % (31852)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)
% 1.36/0.54  % (31858)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)
% 1.36/0.54  % (31849)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)
% 1.36/0.54  % (31872)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)
% 1.36/0.54  % (31852)Also succeeded, but the first one will report.
% 1.36/0.54  % (31849)Instruction limit reached!
% 1.36/0.54  % (31849)------------------------------
% 1.36/0.54  % (31849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54  % (31849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.54  % (31849)Termination reason: Unknown
% 1.36/0.54  % (31849)Termination phase: Preprocessing 3
% 1.36/0.54  
% 1.36/0.54  % (31849)Memory used [KB]: 1663
% 1.36/0.54  % (31849)Time elapsed: 0.004 s
% 1.36/0.54  % (31849)Instructions burned: 4 (million)
% 1.36/0.54  % (31849)------------------------------
% 1.36/0.54  % (31849)------------------------------
% 1.36/0.54  % (31851)Refutation found. Thanks to Tanya!
% 1.36/0.54  % SZS status Theorem for theBenchmark
% 1.36/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.54  % (31851)------------------------------
% 1.36/0.54  % (31851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54  % (31851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.54  % (31851)Termination reason: Refutation
% 1.36/0.54  
% 1.36/0.54  % (31851)Memory used [KB]: 6140
% 1.36/0.54  % (31851)Time elapsed: 0.123 s
% 1.36/0.54  % (31851)Instructions burned: 6 (million)
% 1.36/0.54  % (31851)------------------------------
% 1.36/0.54  % (31851)------------------------------
% 1.36/0.54  % (31845)Success in time 0.189 s
%------------------------------------------------------------------------------