TSTP Solution File: SWC325+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC325+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 : n013.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 18:40:26 EDT 2022

% Result   : Theorem 1.32s 0.53s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   81 (   7 unt;   0 def)
%            Number of atoms       :  415 ( 163 equ)
%            Maximal formula atoms :   34 (   5 avg)
%            Number of connectives :  531 ( 197   ~; 170   |; 130   &)
%                                         (  10 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  115 (  63   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f357,plain,
    $false,
    inference(avatar_sat_refutation,[],[f196,f210,f219,f224,f229,f230,f281,f289,f356]) ).

fof(f356,plain,
    ( ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_8
    | ~ spl10_9 ),
    inference(avatar_contradiction_clause,[],[f355]) ).

fof(f355,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_4
    | ~ spl10_5
    | ~ spl10_8
    | ~ spl10_9 ),
    inference(subsumption_resolution,[],[f354,f203]) ).

fof(f203,plain,
    ( ssList(nil)
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f202,plain,
    ( spl10_4
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f354,plain,
    ( ~ ssList(nil)
    | ~ spl10_2
    | ~ spl10_5
    | ~ spl10_8
    | ~ spl10_9 ),
    inference(subsumption_resolution,[],[f353,f195]) ).

fof(f195,plain,
    ( ssItem(sK6)
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f193,plain,
    ( spl10_2
  <=> ssItem(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f353,plain,
    ( ~ ssItem(sK6)
    | ~ ssList(nil)
    | ~ spl10_5
    | ~ spl10_8
    | ~ spl10_9 ),
    inference(resolution,[],[f352,f145]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ssList(cons(X1,X0)) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f352,plain,
    ( ~ ssList(cons(sK6,nil))
    | ~ spl10_5
    | ~ spl10_8
    | ~ spl10_9 ),
    inference(subsumption_resolution,[],[f351,f223]) ).

fof(f223,plain,
    ( sK5 = app(sK7,cons(sK6,nil))
    | ~ spl10_8 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl10_8
  <=> sK5 = app(sK7,cons(sK6,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).

fof(f351,plain,
    ( sK5 != app(sK7,cons(sK6,nil))
    | ~ ssList(cons(sK6,nil))
    | ~ spl10_5
    | ~ spl10_9 ),
    inference(subsumption_resolution,[],[f350,f228]) ).

fof(f228,plain,
    ( ssList(sK7)
    | ~ spl10_9 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl10_9
  <=> ssList(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).

fof(f350,plain,
    ( ~ ssList(sK7)
    | ~ ssList(cons(sK6,nil))
    | sK5 != app(sK7,cons(sK6,nil))
    | ~ spl10_5 ),
    inference(trivial_inequality_removal,[],[f346]) ).

fof(f346,plain,
    ( ~ ssList(cons(sK6,nil))
    | ~ ssList(sK7)
    | sK2 != sK2
    | sK5 != app(sK7,cons(sK6,nil))
    | ~ spl10_5 ),
    inference(superposition,[],[f177,f209]) ).

fof(f209,plain,
    ( sK2 = app(cons(sK6,nil),sK7)
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f207,plain,
    ( spl10_5
  <=> sK2 = app(cons(sK6,nil),sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

fof(f177,plain,
    ! [X4,X5] :
      ( app(X5,X4) != sK2
      | ~ ssList(X5)
      | app(X4,X5) != sK5
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f162,f165]) ).

fof(f165,plain,
    sK3 = sK5,
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ( ssList(sK2)
    & sK3 = sK5
    & ( nil = sK4
      | nil != sK5 )
    & sK4 = sK2
    & ! [X4] :
        ( ! [X5] :
            ( app(X5,X4) != sK2
            | ~ ssList(X5)
            | app(X4,X5) != sK3 )
        | ~ ssList(X4) )
    & ssList(sK5)
    & ( ~ neq(sK5,nil)
      | ( ssItem(sK6)
        & sK5 = app(sK7,cons(sK6,nil))
        & sK4 = app(cons(sK6,nil),sK7)
        & ssList(sK7) ) )
    & ssList(sK4)
    & ssList(sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7])],[f110,f132,f131,f130,f129,f128,f127]) ).

fof(f127,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( X1 = X3
                    & ( nil = X2
                      | nil != X3 )
                    & X0 = X2
                    & ! [X4] :
                        ( ! [X5] :
                            ( app(X5,X4) != X0
                            | ~ ssList(X5)
                            | app(X4,X5) != X1 )
                        | ~ ssList(X4) )
                    & ssList(X3)
                    & ( ~ neq(X3,nil)
                      | ? [X6] :
                          ( ssItem(X6)
                          & ? [X7] :
                              ( app(X7,cons(X6,nil)) = X3
                              & app(cons(X6,nil),X7) = X2
                              & ssList(X7) ) ) ) )
                & ssList(X2) )
            & ssList(X1) ) )
   => ( ssList(sK2)
      & ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & ( nil = X2
                    | nil != X3 )
                  & sK2 = X2
                  & ! [X4] :
                      ( ! [X5] :
                          ( app(X5,X4) != sK2
                          | ~ ssList(X5)
                          | app(X4,X5) != X1 )
                      | ~ ssList(X4) )
                  & ssList(X3)
                  & ( ~ neq(X3,nil)
                    | ? [X6] :
                        ( ssItem(X6)
                        & ? [X7] :
                            ( app(X7,cons(X6,nil)) = X3
                            & app(cons(X6,nil),X7) = X2
                            & ssList(X7) ) ) ) )
              & ssList(X2) )
          & ssList(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( X1 = X3
                & ( nil = X2
                  | nil != X3 )
                & sK2 = X2
                & ! [X4] :
                    ( ! [X5] :
                        ( app(X5,X4) != sK2
                        | ~ ssList(X5)
                        | app(X4,X5) != X1 )
                    | ~ ssList(X4) )
                & ssList(X3)
                & ( ~ neq(X3,nil)
                  | ? [X6] :
                      ( ssItem(X6)
                      & ? [X7] :
                          ( app(X7,cons(X6,nil)) = X3
                          & app(cons(X6,nil),X7) = X2
                          & ssList(X7) ) ) ) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( sK3 = X3
              & ( nil = X2
                | nil != X3 )
              & sK2 = X2
              & ! [X4] :
                  ( ! [X5] :
                      ( app(X5,X4) != sK2
                      | ~ ssList(X5)
                      | app(X4,X5) != sK3 )
                  | ~ ssList(X4) )
              & ssList(X3)
              & ( ~ neq(X3,nil)
                | ? [X6] :
                    ( ssItem(X6)
                    & ? [X7] :
                        ( app(X7,cons(X6,nil)) = X3
                        & app(cons(X6,nil),X7) = X2
                        & ssList(X7) ) ) ) )
          & ssList(X2) )
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( sK3 = X3
            & ( nil = X2
              | nil != X3 )
            & sK2 = X2
            & ! [X4] :
                ( ! [X5] :
                    ( app(X5,X4) != sK2
                    | ~ ssList(X5)
                    | app(X4,X5) != sK3 )
                | ~ ssList(X4) )
            & ssList(X3)
            & ( ~ neq(X3,nil)
              | ? [X6] :
                  ( ssItem(X6)
                  & ? [X7] :
                      ( app(X7,cons(X6,nil)) = X3
                      & app(cons(X6,nil),X7) = X2
                      & ssList(X7) ) ) ) )
        & ssList(X2) )
   => ( ? [X3] :
          ( sK3 = X3
          & ( nil = sK4
            | nil != X3 )
          & sK4 = sK2
          & ! [X4] :
              ( ! [X5] :
                  ( app(X5,X4) != sK2
                  | ~ ssList(X5)
                  | app(X4,X5) != sK3 )
              | ~ ssList(X4) )
          & ssList(X3)
          & ( ~ neq(X3,nil)
            | ? [X6] :
                ( ssItem(X6)
                & ? [X7] :
                    ( app(X7,cons(X6,nil)) = X3
                    & app(cons(X6,nil),X7) = sK4
                    & ssList(X7) ) ) ) )
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ( ? [X3] :
        ( sK3 = X3
        & ( nil = sK4
          | nil != X3 )
        & sK4 = sK2
        & ! [X4] :
            ( ! [X5] :
                ( app(X5,X4) != sK2
                | ~ ssList(X5)
                | app(X4,X5) != sK3 )
            | ~ ssList(X4) )
        & ssList(X3)
        & ( ~ neq(X3,nil)
          | ? [X6] :
              ( ssItem(X6)
              & ? [X7] :
                  ( app(X7,cons(X6,nil)) = X3
                  & app(cons(X6,nil),X7) = sK4
                  & ssList(X7) ) ) ) )
   => ( sK3 = sK5
      & ( nil = sK4
        | nil != sK5 )
      & sK4 = sK2
      & ! [X4] :
          ( ! [X5] :
              ( app(X5,X4) != sK2
              | ~ ssList(X5)
              | app(X4,X5) != sK3 )
          | ~ ssList(X4) )
      & ssList(sK5)
      & ( ~ neq(sK5,nil)
        | ? [X6] :
            ( ssItem(X6)
            & ? [X7] :
                ( app(X7,cons(X6,nil)) = sK5
                & app(cons(X6,nil),X7) = sK4
                & ssList(X7) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ( ? [X6] :
        ( ssItem(X6)
        & ? [X7] :
            ( app(X7,cons(X6,nil)) = sK5
            & app(cons(X6,nil),X7) = sK4
            & ssList(X7) ) )
   => ( ssItem(sK6)
      & ? [X7] :
          ( app(X7,cons(sK6,nil)) = sK5
          & sK4 = app(cons(sK6,nil),X7)
          & ssList(X7) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ( ? [X7] :
        ( app(X7,cons(sK6,nil)) = sK5
        & sK4 = app(cons(sK6,nil),X7)
        & ssList(X7) )
   => ( sK5 = app(sK7,cons(sK6,nil))
      & sK4 = app(cons(sK6,nil),sK7)
      & ssList(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f110,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & ( nil = X2
                    | nil != X3 )
                  & X0 = X2
                  & ! [X4] :
                      ( ! [X5] :
                          ( app(X5,X4) != X0
                          | ~ ssList(X5)
                          | app(X4,X5) != X1 )
                      | ~ ssList(X4) )
                  & ssList(X3)
                  & ( ~ neq(X3,nil)
                    | ? [X6] :
                        ( ssItem(X6)
                        & ? [X7] :
                            ( app(X7,cons(X6,nil)) = X3
                            & app(cons(X6,nil),X7) = X2
                            & ssList(X7) ) ) ) )
              & ssList(X2) )
          & ssList(X1) ) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X0 = X2
                  & ( nil = X2
                    | nil != X3 )
                  & X1 = X3
                  & ( ~ neq(X3,nil)
                    | ? [X6] :
                        ( ? [X7] :
                            ( app(X7,cons(X6,nil)) = X3
                            & app(cons(X6,nil),X7) = X2
                            & ssList(X7) )
                        & ssItem(X6) ) )
                  & ! [X4] :
                      ( ! [X5] :
                          ( app(X5,X4) != X0
                          | ~ ssList(X5)
                          | app(X4,X5) != X1 )
                      | ~ ssList(X4) )
                  & 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)
                   => ( X0 != X2
                      | ( nil != X2
                        & nil = X3 )
                      | X1 != X3
                      | ( neq(X3,nil)
                        & ! [X6] :
                            ( ssItem(X6)
                           => ! [X7] :
                                ( ssList(X7)
                               => ( app(X7,cons(X6,nil)) != X3
                                  | app(cons(X6,nil),X7) != X2 ) ) ) )
                      | ? [X4] :
                          ( ? [X5] :
                              ( app(X4,X5) = X1
                              & app(X5,X4) = X0
                              & ssList(X5) )
                          & ssList(X4) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X0 != X2
                    | ( nil != X2
                      & nil = X3 )
                    | X1 != X3
                    | ( neq(X3,nil)
                      & ! [X6] :
                          ( ssItem(X6)
                         => ! [X7] :
                              ( ssList(X7)
                             => ( app(X7,cons(X6,nil)) != X3
                                | app(cons(X6,nil),X7) != X2 ) ) ) )
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X4,X5) = X1
                            & app(X5,X4) = X0
                            & ssList(X5) )
                        & ssList(X4) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f162,plain,
    ! [X4,X5] :
      ( app(X5,X4) != sK2
      | ~ ssList(X5)
      | app(X4,X5) != sK3
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f289,plain,
    ( ~ spl10_7
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(avatar_split_clause,[],[f288,f212,f202,f216]) ).

fof(f216,plain,
    ( spl10_7
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).

fof(f212,plain,
    ( spl10_6
  <=> nil = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).

fof(f288,plain,
    ( nil != sK2
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(backward_demodulation,[],[f245,f213]) ).

fof(f213,plain,
    ( nil = sK5
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f245,plain,
    ( sK2 != sK5
    | ~ spl10_4 ),
    inference(subsumption_resolution,[],[f244,f161]) ).

fof(f161,plain,
    ssList(sK5),
    inference(cnf_transformation,[],[f133]) ).

fof(f244,plain,
    ( ~ ssList(sK5)
    | sK2 != sK5
    | ~ spl10_4 ),
    inference(equality_resolution,[],[f242]) ).

fof(f242,plain,
    ( ! [X0] :
        ( sK5 != X0
        | sK2 != X0
        | ~ ssList(X0) )
    | ~ spl10_4 ),
    inference(duplicate_literal_removal,[],[f239]) ).

fof(f239,plain,
    ( ! [X0] :
        ( sK5 != X0
        | sK2 != X0
        | ~ ssList(X0)
        | ~ ssList(X0) )
    | ~ spl10_4 ),
    inference(superposition,[],[f235,f141]) ).

fof(f141,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f235,plain,
    ( ! [X0] :
        ( app(nil,X0) != sK5
        | sK2 != X0
        | ~ ssList(X0) )
    | ~ spl10_4 ),
    inference(subsumption_resolution,[],[f234,f203]) ).

fof(f234,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | app(nil,X0) != sK5
      | sK2 != X0 ),
    inference(duplicate_literal_removal,[],[f233]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(X0)
      | sK2 != X0
      | app(nil,X0) != sK5 ),
    inference(superposition,[],[f177,f137]) ).

fof(f137,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).

fof(f281,plain,
    ( spl10_6
    | spl10_1
    | ~ spl10_4 ),
    inference(avatar_split_clause,[],[f278,f202,f189,f212]) ).

fof(f189,plain,
    ( spl10_1
  <=> neq(sK5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f278,plain,
    ( nil = sK5
    | spl10_1
    | ~ spl10_4 ),
    inference(subsumption_resolution,[],[f277,f203]) ).

fof(f277,plain,
    ( ~ ssList(nil)
    | nil = sK5
    | spl10_1 ),
    inference(subsumption_resolution,[],[f272,f161]) ).

fof(f272,plain,
    ( ~ ssList(sK5)
    | ~ ssList(nil)
    | nil = sK5
    | spl10_1 ),
    inference(resolution,[],[f151,f191]) ).

fof(f191,plain,
    ( ~ neq(sK5,nil)
    | spl10_1 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f230,plain,
    spl10_4,
    inference(avatar_split_clause,[],[f171,f202]) ).

fof(f171,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f229,plain,
    ( spl10_9
    | ~ spl10_1 ),
    inference(avatar_split_clause,[],[f157,f189,f226]) ).

fof(f157,plain,
    ( ~ neq(sK5,nil)
    | ssList(sK7) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f224,plain,
    ( ~ spl10_1
    | spl10_8 ),
    inference(avatar_split_clause,[],[f159,f221,f189]) ).

fof(f159,plain,
    ( sK5 = app(sK7,cons(sK6,nil))
    | ~ neq(sK5,nil) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f219,plain,
    ( ~ spl10_6
    | spl10_7 ),
    inference(avatar_split_clause,[],[f176,f216,f212]) ).

fof(f176,plain,
    ( nil = sK2
    | nil != sK5 ),
    inference(definition_unfolding,[],[f164,f163]) ).

fof(f163,plain,
    sK4 = sK2,
    inference(cnf_transformation,[],[f133]) ).

fof(f164,plain,
    ( nil = sK4
    | nil != sK5 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f210,plain,
    ( ~ spl10_1
    | spl10_5 ),
    inference(avatar_split_clause,[],[f178,f207,f189]) ).

fof(f178,plain,
    ( sK2 = app(cons(sK6,nil),sK7)
    | ~ neq(sK5,nil) ),
    inference(definition_unfolding,[],[f158,f163]) ).

fof(f158,plain,
    ( ~ neq(sK5,nil)
    | sK4 = app(cons(sK6,nil),sK7) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f196,plain,
    ( ~ spl10_1
    | spl10_2 ),
    inference(avatar_split_clause,[],[f160,f193,f189]) ).

fof(f160,plain,
    ( ssItem(sK6)
    | ~ neq(sK5,nil) ),
    inference(cnf_transformation,[],[f133]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC325+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 : n013.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 18:43:32 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (3639)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)
% 0.19/0.50  % (3646)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)
% 0.19/0.50  % (3632)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)
% 0.19/0.50  % (3632)Instruction limit reached!
% 0.19/0.50  % (3632)------------------------------
% 0.19/0.50  % (3632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (3632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (3632)Termination reason: Unknown
% 0.19/0.50  % (3632)Termination phase: Naming
% 0.19/0.50  
% 0.19/0.50  % (3632)Memory used [KB]: 1535
% 0.19/0.50  % (3632)Time elapsed: 0.005 s
% 0.19/0.50  % (3632)Instructions burned: 3 (million)
% 0.19/0.50  % (3632)------------------------------
% 0.19/0.50  % (3632)------------------------------
% 0.19/0.50  % (3624)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)
% 0.19/0.50  % (3620)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)
% 0.19/0.51  % (3620)Instruction limit reached!
% 0.19/0.51  % (3620)------------------------------
% 0.19/0.51  % (3620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (3638)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)
% 0.19/0.51  % (3626)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)
% 0.19/0.51  % (3643)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)
% 0.19/0.51  % (3620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (3620)Termination reason: Unknown
% 0.19/0.51  % (3620)Termination phase: Preprocessing 3
% 0.19/0.51  
% 0.19/0.51  % (3620)Memory used [KB]: 1663
% 0.19/0.51  % (3620)Time elapsed: 0.003 s
% 0.19/0.51  % (3620)Instructions burned: 3 (million)
% 0.19/0.51  % (3620)------------------------------
% 0.19/0.51  % (3620)------------------------------
% 0.19/0.52  % (3630)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)
% 0.19/0.52  % (3629)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)
% 0.19/0.52  % (3646)Instruction limit reached!
% 0.19/0.52  % (3646)------------------------------
% 0.19/0.52  % (3646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (3623)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)
% 0.19/0.52  % (3621)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)
% 0.19/0.52  % (3631)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)
% 0.19/0.52  % (3624)First to succeed.
% 1.32/0.53  % (3624)Refutation found. Thanks to Tanya!
% 1.32/0.53  % SZS status Theorem for theBenchmark
% 1.32/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.53  % (3624)------------------------------
% 1.32/0.53  % (3624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (3624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (3624)Termination reason: Refutation
% 1.32/0.53  
% 1.32/0.53  % (3624)Memory used [KB]: 6140
% 1.32/0.53  % (3624)Time elapsed: 0.085 s
% 1.32/0.53  % (3624)Instructions burned: 7 (million)
% 1.32/0.53  % (3624)------------------------------
% 1.32/0.53  % (3624)------------------------------
% 1.32/0.53  % (3617)Success in time 0.179 s
%------------------------------------------------------------------------------