TSTP Solution File: SWC396+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC396+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n003.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 May  1 04:01:54 EDT 2024

% Result   : Theorem 1.27s 0.92s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  147 (  14 unt;   0 def)
%            Number of atoms       :  874 ( 213 equ)
%            Maximal formula atoms :   48 (   5 avg)
%            Number of connectives : 1197 ( 470   ~; 489   |; 177   &)
%                                         (  18 <=>;  43  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  11 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :  229 ( 170   !;  59   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3037,plain,
    $false,
    inference(avatar_sat_refutation,[],[f281,f295,f305,f323,f331,f333,f337,f340,f344,f349,f3028]) ).

fof(f3028,plain,
    ( ~ spl13_3
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | spl13_9
    | ~ spl13_11 ),
    inference(avatar_contradiction_clause,[],[f3027]) ).

fof(f3027,plain,
    ( $false
    | ~ spl13_3
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | spl13_9
    | ~ spl13_11 ),
    inference(subsumption_resolution,[],[f3002,f234]) ).

fof(f234,plain,
    ~ memberP(sK3,sK4),
    inference(definition_unfolding,[],[f180,f176]) ).

fof(f176,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( ( ( ! [X4] :
            ( ! [X5] :
                ( ! [X6] :
                    ( ~ neq(nil,sK2)
                    | ! [X7] :
                        ( ~ neq(nil,sK2)
                        | hd(sK2) != X7
                        | cons(X7,nil) != X6
                        | ~ ssItem(X7) )
                    | app(X5,X6) != X4
                    | tl(sK2) != X5
                    | ~ ssList(X6) )
                | ~ ssList(X5) )
            | sK3 = X4
            | ~ ssList(X4) )
        & neq(sK2,nil) )
      | ~ neq(sK3,nil) )
    & ( nil != sK3
      | nil = sK2 )
    & ~ memberP(sK1,sK4)
    & memberP(sK0,sK4)
    & ssItem(sK4)
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f100,f147,f146,f145,f144,f143]) ).

fof(f143,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( ! [X4] :
                            ( ! [X5] :
                                ( ! [X6] :
                                    ( ~ neq(nil,X2)
                                    | ! [X7] :
                                        ( ~ neq(nil,X2)
                                        | hd(X2) != X7
                                        | cons(X7,nil) != X6
                                        | ~ ssItem(X7) )
                                    | app(X5,X6) != X4
                                    | tl(X2) != X5
                                    | ~ ssList(X6) )
                                | ~ ssList(X5) )
                            | X3 = X4
                            | ~ ssList(X4) )
                        & neq(X2,nil) )
                      | ~ neq(X3,nil) )
                    & ( nil != X3
                      | nil = X2 )
                    & ? [X8] :
                        ( ~ memberP(X1,X8)
                        & memberP(X0,X8)
                        & ssItem(X8) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ! [X4] :
                          ( ! [X5] :
                              ( ! [X6] :
                                  ( ~ neq(nil,X2)
                                  | ! [X7] :
                                      ( ~ neq(nil,X2)
                                      | hd(X2) != X7
                                      | cons(X7,nil) != X6
                                      | ~ ssItem(X7) )
                                  | app(X5,X6) != X4
                                  | tl(X2) != X5
                                  | ~ ssList(X6) )
                              | ~ ssList(X5) )
                          | X3 = X4
                          | ~ ssList(X4) )
                      & neq(X2,nil) )
                    | ~ neq(X3,nil) )
                  & ( nil != X3
                    | nil = X2 )
                  & ? [X8] :
                      ( ~ memberP(X1,X8)
                      & memberP(sK0,X8)
                      & ssItem(X8) )
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f144,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( ! [X4] :
                        ( ! [X5] :
                            ( ! [X6] :
                                ( ~ neq(nil,X2)
                                | ! [X7] :
                                    ( ~ neq(nil,X2)
                                    | hd(X2) != X7
                                    | cons(X7,nil) != X6
                                    | ~ ssItem(X7) )
                                | app(X5,X6) != X4
                                | tl(X2) != X5
                                | ~ ssList(X6) )
                            | ~ ssList(X5) )
                        | X3 = X4
                        | ~ ssList(X4) )
                    & neq(X2,nil) )
                  | ~ neq(X3,nil) )
                & ( nil != X3
                  | nil = X2 )
                & ? [X8] :
                    ( ~ memberP(X1,X8)
                    & memberP(sK0,X8)
                    & ssItem(X8) )
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ~ neq(nil,X2)
                              | ! [X7] :
                                  ( ~ neq(nil,X2)
                                  | hd(X2) != X7
                                  | cons(X7,nil) != X6
                                  | ~ ssItem(X7) )
                              | app(X5,X6) != X4
                              | tl(X2) != X5
                              | ~ ssList(X6) )
                          | ~ ssList(X5) )
                      | X3 = X4
                      | ~ ssList(X4) )
                  & neq(X2,nil) )
                | ~ neq(X3,nil) )
              & ( nil != X3
                | nil = X2 )
              & ? [X8] :
                  ( ~ memberP(sK1,X8)
                  & memberP(sK0,X8)
                  & ssItem(X8) )
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f145,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( ! [X4] :
                    ( ! [X5] :
                        ( ! [X6] :
                            ( ~ neq(nil,X2)
                            | ! [X7] :
                                ( ~ neq(nil,X2)
                                | hd(X2) != X7
                                | cons(X7,nil) != X6
                                | ~ ssItem(X7) )
                            | app(X5,X6) != X4
                            | tl(X2) != X5
                            | ~ ssList(X6) )
                        | ~ ssList(X5) )
                    | X3 = X4
                    | ~ ssList(X4) )
                & neq(X2,nil) )
              | ~ neq(X3,nil) )
            & ( nil != X3
              | nil = X2 )
            & ? [X8] :
                ( ~ memberP(sK1,X8)
                & memberP(sK0,X8)
                & ssItem(X8) )
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( ! [X4] :
                  ( ! [X5] :
                      ( ! [X6] :
                          ( ~ neq(nil,sK2)
                          | ! [X7] :
                              ( ~ neq(nil,sK2)
                              | hd(sK2) != X7
                              | cons(X7,nil) != X6
                              | ~ ssItem(X7) )
                          | app(X5,X6) != X4
                          | tl(sK2) != X5
                          | ~ ssList(X6) )
                      | ~ ssList(X5) )
                  | X3 = X4
                  | ~ ssList(X4) )
              & neq(sK2,nil) )
            | ~ neq(X3,nil) )
          & ( nil != X3
            | nil = sK2 )
          & ? [X8] :
              ( ~ memberP(sK1,X8)
              & memberP(sK0,X8)
              & ssItem(X8) )
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ( ? [X3] :
        ( ( ( ! [X4] :
                ( ! [X5] :
                    ( ! [X6] :
                        ( ~ neq(nil,sK2)
                        | ! [X7] :
                            ( ~ neq(nil,sK2)
                            | hd(sK2) != X7
                            | cons(X7,nil) != X6
                            | ~ ssItem(X7) )
                        | app(X5,X6) != X4
                        | tl(sK2) != X5
                        | ~ ssList(X6) )
                    | ~ ssList(X5) )
                | X3 = X4
                | ~ ssList(X4) )
            & neq(sK2,nil) )
          | ~ neq(X3,nil) )
        & ( nil != X3
          | nil = sK2 )
        & ? [X8] :
            ( ~ memberP(sK1,X8)
            & memberP(sK0,X8)
            & ssItem(X8) )
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ( ! [X4] :
              ( ! [X5] :
                  ( ! [X6] :
                      ( ~ neq(nil,sK2)
                      | ! [X7] :
                          ( ~ neq(nil,sK2)
                          | hd(sK2) != X7
                          | cons(X7,nil) != X6
                          | ~ ssItem(X7) )
                      | app(X5,X6) != X4
                      | tl(sK2) != X5
                      | ~ ssList(X6) )
                  | ~ ssList(X5) )
              | sK3 = X4
              | ~ ssList(X4) )
          & neq(sK2,nil) )
        | ~ neq(sK3,nil) )
      & ( nil != sK3
        | nil = sK2 )
      & ? [X8] :
          ( ~ memberP(sK1,X8)
          & memberP(sK0,X8)
          & ssItem(X8) )
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f147,plain,
    ( ? [X8] :
        ( ~ memberP(sK1,X8)
        & memberP(sK0,X8)
        & ssItem(X8) )
   => ( ~ memberP(sK1,sK4)
      & memberP(sK0,sK4)
      & ssItem(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ! [X4] :
                          ( ! [X5] :
                              ( ! [X6] :
                                  ( ~ neq(nil,X2)
                                  | ! [X7] :
                                      ( ~ neq(nil,X2)
                                      | hd(X2) != X7
                                      | cons(X7,nil) != X6
                                      | ~ ssItem(X7) )
                                  | app(X5,X6) != X4
                                  | tl(X2) != X5
                                  | ~ ssList(X6) )
                              | ~ ssList(X5) )
                          | X3 = X4
                          | ~ ssList(X4) )
                      & neq(X2,nil) )
                    | ~ neq(X3,nil) )
                  & ( nil != X3
                    | nil = X2 )
                  & ? [X8] :
                      ( ~ memberP(X1,X8)
                      & memberP(X0,X8)
                      & ssItem(X8) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ! [X4] :
                          ( ! [X5] :
                              ( ! [X6] :
                                  ( ~ neq(nil,X2)
                                  | ! [X7] :
                                      ( ~ neq(nil,X2)
                                      | hd(X2) != X7
                                      | cons(X7,nil) != X6
                                      | ~ ssItem(X7) )
                                  | app(X5,X6) != X4
                                  | tl(X2) != X5
                                  | ~ ssList(X6) )
                              | ~ ssList(X5) )
                          | X3 = X4
                          | ~ ssList(X4) )
                      & neq(X2,nil) )
                    | ~ neq(X3,nil) )
                  & ( nil != X3
                    | nil = X2 )
                  & ? [X8] :
                      ( ~ memberP(X1,X8)
                      & memberP(X0,X8)
                      & ssItem(X8) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( ? [X4] :
                              ( ? [X5] :
                                  ( ? [X6] :
                                      ( neq(nil,X2)
                                      & ? [X7] :
                                          ( neq(nil,X2)
                                          & hd(X2) = X7
                                          & cons(X7,nil) = X6
                                          & ssItem(X7) )
                                      & app(X5,X6) = X4
                                      & tl(X2) = X5
                                      & ssList(X6) )
                                  & ssList(X5) )
                              & X3 != X4
                              & ssList(X4) )
                          | ~ neq(X2,nil) )
                        & neq(X3,nil) )
                      | ( nil = X3
                        & nil != X2 )
                      | ! [X8] :
                          ( ssItem(X8)
                         => ( memberP(X1,X8)
                            | ~ memberP(X0,X8) ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( ? [X5] :
                            ( ? [X6] :
                                ( ? [X7] :
                                    ( neq(nil,X2)
                                    & ? [X8] :
                                        ( neq(nil,X2)
                                        & hd(X2) = X8
                                        & cons(X8,nil) = X7
                                        & ssItem(X8) )
                                    & app(X6,X7) = X5
                                    & tl(X2) = X6
                                    & ssList(X7) )
                                & ssList(X6) )
                            & X3 != X5
                            & ssList(X5) )
                        | ~ neq(X2,nil) )
                      & neq(X3,nil) )
                    | ( nil = X3
                      & nil != X2 )
                    | ! [X4] :
                        ( ssItem(X4)
                       => ( memberP(X1,X4)
                          | ~ memberP(X0,X4) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.wrrZsAVCkh/Vampire---4.8_8495',co1) ).

fof(f180,plain,
    ~ memberP(sK1,sK4),
    inference(cnf_transformation,[],[f148]) ).

fof(f3002,plain,
    ( memberP(sK3,sK4)
    | ~ spl13_3
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | spl13_9
    | ~ spl13_11 ),
    inference(backward_demodulation,[],[f1113,f2990]) ).

fof(f2990,plain,
    ( hd(sK2) = sK4
    | ~ spl13_3
    | ~ spl13_4
    | ~ spl13_5
    | spl13_9 ),
    inference(subsumption_resolution,[],[f2989,f174]) ).

fof(f174,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f148]) ).

fof(f2989,plain,
    ( hd(sK2) = sK4
    | ~ ssList(sK2)
    | ~ spl13_3
    | ~ spl13_4
    | ~ spl13_5
    | spl13_9 ),
    inference(subsumption_resolution,[],[f2988,f289]) ).

fof(f289,plain,
    ( nil != sK2
    | spl13_9 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f288,plain,
    ( spl13_9
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).

fof(f2988,plain,
    ( hd(sK2) = sK4
    | nil = sK2
    | ~ ssList(sK2)
    | ~ spl13_3
    | ~ spl13_4
    | ~ spl13_5 ),
    inference(subsumption_resolution,[],[f2987,f178]) ).

fof(f178,plain,
    ssItem(sK4),
    inference(cnf_transformation,[],[f148]) ).

fof(f2987,plain,
    ( hd(sK2) = sK4
    | ~ ssItem(sK4)
    | nil = sK2
    | ~ ssList(sK2)
    | ~ spl13_3
    | ~ spl13_4
    | ~ spl13_5 ),
    inference(subsumption_resolution,[],[f2982,f235]) ).

fof(f235,plain,
    memberP(sK2,sK4),
    inference(definition_unfolding,[],[f179,f177]) ).

fof(f177,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f148]) ).

fof(f179,plain,
    memberP(sK0,sK4),
    inference(cnf_transformation,[],[f148]) ).

fof(f2982,plain,
    ( hd(sK2) = sK4
    | ~ memberP(sK2,sK4)
    | ~ ssItem(sK4)
    | nil = sK2
    | ~ ssList(sK2)
    | ~ spl13_3
    | ~ spl13_4
    | ~ spl13_5 ),
    inference(resolution,[],[f776,f1184]) ).

fof(f1184,plain,
    ( ~ memberP(tl(sK2),sK4)
    | ~ spl13_3
    | ~ spl13_4
    | ~ spl13_5 ),
    inference(subsumption_resolution,[],[f1183,f178]) ).

fof(f1183,plain,
    ( ~ memberP(tl(sK2),sK4)
    | ~ ssItem(sK4)
    | ~ spl13_3
    | ~ spl13_4
    | ~ spl13_5 ),
    inference(resolution,[],[f1134,f234]) ).

fof(f1134,plain,
    ( ! [X0] :
        ( memberP(sK3,X0)
        | ~ memberP(tl(sK2),X0)
        | ~ ssItem(X0) )
    | ~ spl13_3
    | ~ spl13_4
    | ~ spl13_5 ),
    inference(subsumption_resolution,[],[f1133,f267]) ).

fof(f267,plain,
    ( ssList(tl(sK2))
    | ~ spl13_4 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl13_4
  <=> ssList(tl(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

fof(f1133,plain,
    ( ! [X0] :
        ( memberP(sK3,X0)
        | ~ memberP(tl(sK2),X0)
        | ~ ssList(tl(sK2))
        | ~ ssItem(X0) )
    | ~ spl13_3
    | ~ spl13_5 ),
    inference(subsumption_resolution,[],[f1105,f271]) ).

fof(f271,plain,
    ( ssList(cons(hd(sK2),nil))
    | ~ spl13_5 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl13_5
  <=> ssList(cons(hd(sK2),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).

fof(f1105,plain,
    ( ! [X0] :
        ( memberP(sK3,X0)
        | ~ memberP(tl(sK2),X0)
        | ~ ssList(cons(hd(sK2),nil))
        | ~ ssList(tl(sK2))
        | ~ ssItem(X0) )
    | ~ spl13_3 ),
    inference(superposition,[],[f221,f264]) ).

fof(f264,plain,
    ( sK3 = app(tl(sK2),cons(hd(sK2),nil))
    | ~ spl13_3 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl13_3
  <=> sK3 = app(tl(sK2),cons(hd(sK2),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

fof(f221,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X1,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) ) )
                & ( memberP(X2,X0)
                  | memberP(X1,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f163]) ).

fof(f163,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) ) )
                & ( memberP(X2,X0)
                  | memberP(X1,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.wrrZsAVCkh/Vampire---4.8_8495',ax36) ).

fof(f776,plain,
    ! [X0,X1] :
      ( memberP(tl(X0),X1)
      | hd(X0) = X1
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f775,f215]) ).

fof(f215,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.wrrZsAVCkh/Vampire---4.8_8495',ax22) ).

fof(f775,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | hd(X0) = X1
      | memberP(tl(X0),X1)
      | ~ ssItem(hd(X0))
      | ~ ssItem(X1)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f767,f233]) ).

fof(f233,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.wrrZsAVCkh/Vampire---4.8_8495',ax24) ).

fof(f767,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | hd(X0) = X1
      | memberP(tl(X0),X1)
      | ~ ssList(tl(X0))
      | ~ ssItem(hd(X0))
      | ~ ssItem(X1)
      | nil = X0
      | ~ ssList(X0) ),
    inference(superposition,[],[f217,f228]) ).

fof(f228,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.wrrZsAVCkh/Vampire---4.8_8495',ax78) ).

fof(f217,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X1,X2),X0)
      | X0 = X1
      | memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(cons(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & X0 != X1 ) )
                & ( memberP(X2,X0)
                  | X0 = X1
                  | ~ memberP(cons(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f161]) ).

fof(f161,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(cons(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & X0 != X1 ) )
                & ( memberP(X2,X0)
                  | X0 = X1
                  | ~ memberP(cons(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.wrrZsAVCkh/Vampire---4.8_8495',ax37) ).

fof(f1113,plain,
    ( memberP(sK3,hd(sK2))
    | ~ spl13_3
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_11 ),
    inference(subsumption_resolution,[],[f1112,f175]) ).

fof(f175,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f148]) ).

fof(f1112,plain,
    ( memberP(sK3,hd(sK2))
    | ~ ssList(sK3)
    | ~ spl13_3
    | ~ spl13_4
    | ~ spl13_6
    | ~ spl13_11 ),
    inference(subsumption_resolution,[],[f1111,f275]) ).

fof(f275,plain,
    ( ssItem(hd(sK2))
    | ~ spl13_6 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl13_6
  <=> ssItem(hd(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).

fof(f1111,plain,
    ( memberP(sK3,hd(sK2))
    | ~ ssItem(hd(sK2))
    | ~ ssList(sK3)
    | ~ spl13_3
    | ~ spl13_4
    | ~ spl13_11 ),
    inference(subsumption_resolution,[],[f1110,f267]) ).

fof(f1110,plain,
    ( memberP(sK3,hd(sK2))
    | ~ ssList(tl(sK2))
    | ~ ssItem(hd(sK2))
    | ~ ssList(sK3)
    | ~ spl13_3
    | ~ spl13_11 ),
    inference(subsumption_resolution,[],[f1093,f298]) ).

fof(f298,plain,
    ( ssList(nil)
    | ~ spl13_11 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl13_11
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).

fof(f1093,plain,
    ( memberP(sK3,hd(sK2))
    | ~ ssList(nil)
    | ~ ssList(tl(sK2))
    | ~ ssItem(hd(sK2))
    | ~ ssList(sK3)
    | ~ spl13_3 ),
    inference(superposition,[],[f247,f264]) ).

fof(f247,plain,
    ! [X2,X3,X1] :
      ( memberP(app(X2,cons(X1,X3)),X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssList(app(X2,cons(X1,X3))) ),
    inference(equality_resolution,[],[f226]) ).

fof(f226,plain,
    ! [X2,X3,X0,X1] :
      ( memberP(X0,X1)
      | app(X2,cons(X1,X3)) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(X2,cons(X1,X3)) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(sK10(X0,X1),cons(X1,sK11(X0,X1))) = X0
                & ssList(sK11(X0,X1))
                & ssList(sK10(X0,X1)) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f166,f168,f167]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(X4,cons(X1,X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(sK10(X0,X1),cons(X1,X5)) = X0
            & ssList(X5) )
        & ssList(sK10(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(sK10(X0,X1),cons(X1,X5)) = X0
          & ssList(X5) )
     => ( app(sK10(X0,X1),cons(X1,sK11(X0,X1))) = X0
        & ssList(sK11(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f166,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(X2,cons(X1,X3)) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( app(X4,cons(X1,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(X2,cons(X1,X3)) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( app(X2,cons(X1,X3)) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( memberP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(X2,cons(X1,X3)) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( memberP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(X2,cons(X1,X3)) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.wrrZsAVCkh/Vampire---4.8_8495',ax3) ).

fof(f349,plain,
    ( spl13_7
    | spl13_9
    | ~ spl13_11 ),
    inference(avatar_contradiction_clause,[],[f348]) ).

fof(f348,plain,
    ( $false
    | spl13_7
    | spl13_9
    | ~ spl13_11 ),
    inference(subsumption_resolution,[],[f347,f298]) ).

fof(f347,plain,
    ( ~ ssList(nil)
    | spl13_7
    | spl13_9 ),
    inference(subsumption_resolution,[],[f346,f174]) ).

fof(f346,plain,
    ( ~ ssList(sK2)
    | ~ ssList(nil)
    | spl13_7
    | spl13_9 ),
    inference(subsumption_resolution,[],[f345,f289]) ).

fof(f345,plain,
    ( nil = sK2
    | ~ ssList(sK2)
    | ~ ssList(nil)
    | spl13_7 ),
    inference(resolution,[],[f280,f207]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.wrrZsAVCkh/Vampire---4.8_8495',ax15) ).

fof(f280,plain,
    ( ~ neq(nil,sK2)
    | spl13_7 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f278,plain,
    ( spl13_7
  <=> neq(nil,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).

fof(f344,plain,
    ( spl13_6
    | spl13_9 ),
    inference(avatar_contradiction_clause,[],[f343]) ).

fof(f343,plain,
    ( $false
    | spl13_6
    | spl13_9 ),
    inference(subsumption_resolution,[],[f342,f174]) ).

fof(f342,plain,
    ( ~ ssList(sK2)
    | spl13_6
    | spl13_9 ),
    inference(subsumption_resolution,[],[f341,f289]) ).

fof(f341,plain,
    ( nil = sK2
    | ~ ssList(sK2)
    | spl13_6 ),
    inference(resolution,[],[f276,f215]) ).

fof(f276,plain,
    ( ~ ssItem(hd(sK2))
    | spl13_6 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f340,plain,
    ( ~ spl13_6
    | spl13_5
    | ~ spl13_11 ),
    inference(avatar_split_clause,[],[f339,f297,f270,f274]) ).

fof(f339,plain,
    ( ~ ssItem(hd(sK2))
    | spl13_5
    | ~ spl13_11 ),
    inference(subsumption_resolution,[],[f338,f298]) ).

fof(f338,plain,
    ( ~ ssItem(hd(sK2))
    | ~ ssList(nil)
    | spl13_5 ),
    inference(resolution,[],[f272,f194]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.wrrZsAVCkh/Vampire---4.8_8495',ax16) ).

fof(f272,plain,
    ( ~ ssList(cons(hd(sK2),nil))
    | spl13_5 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f337,plain,
    ( spl13_4
    | spl13_9 ),
    inference(avatar_contradiction_clause,[],[f336]) ).

fof(f336,plain,
    ( $false
    | spl13_4
    | spl13_9 ),
    inference(subsumption_resolution,[],[f335,f174]) ).

fof(f335,plain,
    ( ~ ssList(sK2)
    | spl13_4
    | spl13_9 ),
    inference(subsumption_resolution,[],[f334,f289]) ).

fof(f334,plain,
    ( nil = sK2
    | ~ ssList(sK2)
    | spl13_4 ),
    inference(resolution,[],[f268,f233]) ).

fof(f268,plain,
    ( ~ ssList(tl(sK2))
    | spl13_4 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f333,plain,
    ( ~ spl13_4
    | ~ spl13_5
    | spl13_2 ),
    inference(avatar_split_clause,[],[f332,f258,f270,f266]) ).

fof(f258,plain,
    ( spl13_2
  <=> ssList(app(tl(sK2),cons(hd(sK2),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f332,plain,
    ( ~ ssList(cons(hd(sK2),nil))
    | ~ ssList(tl(sK2))
    | spl13_2 ),
    inference(resolution,[],[f260,f205]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.wrrZsAVCkh/Vampire---4.8_8495',ax26) ).

fof(f260,plain,
    ( ~ ssList(app(tl(sK2),cons(hd(sK2),nil)))
    | spl13_2 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f331,plain,
    ~ spl13_9,
    inference(avatar_contradiction_clause,[],[f330]) ).

fof(f330,plain,
    ( $false
    | ~ spl13_9 ),
    inference(subsumption_resolution,[],[f329,f178]) ).

fof(f329,plain,
    ( ~ ssItem(sK4)
    | ~ spl13_9 ),
    inference(resolution,[],[f324,f216]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.wrrZsAVCkh/Vampire---4.8_8495',ax38) ).

fof(f324,plain,
    ( memberP(nil,sK4)
    | ~ spl13_9 ),
    inference(backward_demodulation,[],[f235,f290]) ).

fof(f290,plain,
    ( nil = sK2
    | ~ spl13_9 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f323,plain,
    ( spl13_10
    | spl13_1
    | ~ spl13_11 ),
    inference(avatar_split_clause,[],[f322,f297,f254,f292]) ).

fof(f292,plain,
    ( spl13_10
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).

fof(f254,plain,
    ( spl13_1
  <=> neq(sK3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f322,plain,
    ( nil = sK3
    | spl13_1
    | ~ spl13_11 ),
    inference(subsumption_resolution,[],[f321,f175]) ).

fof(f321,plain,
    ( nil = sK3
    | ~ ssList(sK3)
    | spl13_1
    | ~ spl13_11 ),
    inference(subsumption_resolution,[],[f312,f298]) ).

fof(f312,plain,
    ( nil = sK3
    | ~ ssList(nil)
    | ~ ssList(sK3)
    | spl13_1 ),
    inference(resolution,[],[f207,f256]) ).

fof(f256,plain,
    ( ~ neq(sK3,nil)
    | spl13_1 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f305,plain,
    spl13_11,
    inference(avatar_split_clause,[],[f210,f297]) ).

fof(f210,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.wrrZsAVCkh/Vampire---4.8_8495',ax17) ).

fof(f295,plain,
    ( spl13_9
    | ~ spl13_10 ),
    inference(avatar_split_clause,[],[f181,f292,f288]) ).

fof(f181,plain,
    ( nil != sK3
    | nil = sK2 ),
    inference(cnf_transformation,[],[f148]) ).

fof(f281,plain,
    ( ~ spl13_1
    | ~ spl13_2
    | spl13_3
    | ~ spl13_4
    | ~ spl13_5
    | ~ spl13_6
    | ~ spl13_7 ),
    inference(avatar_split_clause,[],[f252,f278,f274,f270,f266,f262,f258,f254]) ).

fof(f252,plain,
    ( ~ neq(nil,sK2)
    | ~ ssItem(hd(sK2))
    | ~ ssList(cons(hd(sK2),nil))
    | ~ ssList(tl(sK2))
    | sK3 = app(tl(sK2),cons(hd(sK2),nil))
    | ~ ssList(app(tl(sK2),cons(hd(sK2),nil)))
    | ~ neq(sK3,nil) ),
    inference(duplicate_literal_removal,[],[f241]) ).

fof(f241,plain,
    ( ~ neq(nil,sK2)
    | ~ neq(nil,sK2)
    | ~ ssItem(hd(sK2))
    | ~ ssList(cons(hd(sK2),nil))
    | ~ ssList(tl(sK2))
    | sK3 = app(tl(sK2),cons(hd(sK2),nil))
    | ~ ssList(app(tl(sK2),cons(hd(sK2),nil)))
    | ~ neq(sK3,nil) ),
    inference(equality_resolution,[],[f240]) ).

fof(f240,plain,
    ! [X5] :
      ( ~ neq(nil,sK2)
      | ~ neq(nil,sK2)
      | ~ ssItem(hd(sK2))
      | tl(sK2) != X5
      | ~ ssList(cons(hd(sK2),nil))
      | ~ ssList(X5)
      | sK3 = app(X5,cons(hd(sK2),nil))
      | ~ ssList(app(X5,cons(hd(sK2),nil)))
      | ~ neq(sK3,nil) ),
    inference(equality_resolution,[],[f239]) ).

fof(f239,plain,
    ! [X4,X5] :
      ( ~ neq(nil,sK2)
      | ~ neq(nil,sK2)
      | ~ ssItem(hd(sK2))
      | app(X5,cons(hd(sK2),nil)) != X4
      | tl(sK2) != X5
      | ~ ssList(cons(hd(sK2),nil))
      | ~ ssList(X5)
      | sK3 = X4
      | ~ ssList(X4)
      | ~ neq(sK3,nil) ),
    inference(equality_resolution,[],[f238]) ).

fof(f238,plain,
    ! [X6,X4,X5] :
      ( ~ neq(nil,sK2)
      | ~ neq(nil,sK2)
      | cons(hd(sK2),nil) != X6
      | ~ ssItem(hd(sK2))
      | app(X5,X6) != X4
      | tl(sK2) != X5
      | ~ ssList(X6)
      | ~ ssList(X5)
      | sK3 = X4
      | ~ ssList(X4)
      | ~ neq(sK3,nil) ),
    inference(equality_resolution,[],[f183]) ).

fof(f183,plain,
    ! [X6,X7,X4,X5] :
      ( ~ neq(nil,sK2)
      | ~ neq(nil,sK2)
      | hd(sK2) != X7
      | cons(X7,nil) != X6
      | ~ ssItem(X7)
      | app(X5,X6) != X4
      | tl(sK2) != X5
      | ~ ssList(X6)
      | ~ ssList(X5)
      | sK3 = X4
      | ~ ssList(X4)
      | ~ neq(sK3,nil) ),
    inference(cnf_transformation,[],[f148]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SWC396+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32  % Computer : n003.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
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 18:26:33 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.wrrZsAVCkh/Vampire---4.8_8495
% 0.57/0.78  % (8609)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.57/0.78  % (8608)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.78  % (8606)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.57/0.78  % (8607)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.57/0.78  % (8610)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.57/0.78  % (8611)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.57/0.78  % (8612)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.57/0.78  % (8613)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.63/0.79  % (8613)Refutation not found, incomplete strategy% (8613)------------------------------
% 0.63/0.79  % (8613)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  % (8613)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (8613)Memory used [KB]: 1171
% 0.63/0.79  % (8613)Time elapsed: 0.004 s
% 0.63/0.79  % (8613)Instructions burned: 6 (million)
% 0.63/0.79  % (8613)------------------------------
% 0.63/0.79  % (8613)------------------------------
% 0.63/0.79  % (8614)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.63/0.80  % (8609)Instruction limit reached!
% 0.63/0.80  % (8609)------------------------------
% 0.63/0.80  % (8609)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (8610)Instruction limit reached!
% 0.63/0.80  % (8610)------------------------------
% 0.63/0.80  % (8610)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (8610)Termination reason: Unknown
% 0.63/0.80  % (8610)Termination phase: Saturation
% 0.63/0.80  
% 0.63/0.80  % (8610)Memory used [KB]: 2076
% 0.63/0.80  % (8610)Time elapsed: 0.019 s
% 0.63/0.80  % (8610)Instructions burned: 35 (million)
% 0.63/0.80  % (8610)------------------------------
% 0.63/0.80  % (8610)------------------------------
% 0.63/0.80  % (8609)Termination reason: Unknown
% 0.63/0.80  % (8609)Termination phase: Saturation
% 0.63/0.80  
% 0.63/0.80  % (8609)Memory used [KB]: 1529
% 0.63/0.80  % (8609)Time elapsed: 0.019 s
% 0.63/0.80  % (8609)Instructions burned: 33 (million)
% 0.63/0.80  % (8609)------------------------------
% 0.63/0.80  % (8609)------------------------------
% 0.63/0.80  % (8606)Instruction limit reached!
% 0.63/0.80  % (8606)------------------------------
% 0.63/0.80  % (8606)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (8606)Termination reason: Unknown
% 0.63/0.80  % (8606)Termination phase: Saturation
% 0.63/0.80  
% 0.63/0.80  % (8606)Memory used [KB]: 1462
% 0.63/0.80  % (8606)Time elapsed: 0.020 s
% 0.63/0.80  % (8606)Instructions burned: 34 (million)
% 0.63/0.80  % (8606)------------------------------
% 0.63/0.80  % (8606)------------------------------
% 0.63/0.81  % (8616)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.63/0.81  % (8615)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.63/0.81  % (8617)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.63/0.81  % (8607)Instruction limit reached!
% 0.63/0.81  % (8607)------------------------------
% 0.63/0.81  % (8607)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (8607)Termination reason: Unknown
% 0.63/0.81  % (8607)Termination phase: Saturation
% 0.63/0.81  
% 0.63/0.81  % (8607)Memory used [KB]: 2017
% 0.63/0.81  % (8607)Time elapsed: 0.026 s
% 0.63/0.81  % (8607)Instructions burned: 51 (million)
% 0.63/0.81  % (8607)------------------------------
% 0.63/0.81  % (8607)------------------------------
% 0.63/0.81  % (8611)Instruction limit reached!
% 0.63/0.81  % (8611)------------------------------
% 0.63/0.81  % (8611)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (8611)Termination reason: Unknown
% 0.63/0.81  % (8611)Termination phase: Saturation
% 0.63/0.81  
% 0.63/0.81  % (8611)Memory used [KB]: 1633
% 0.63/0.81  % (8611)Time elapsed: 0.026 s
% 0.63/0.81  % (8611)Instructions burned: 46 (million)
% 0.63/0.81  % (8611)------------------------------
% 0.63/0.81  % (8611)------------------------------
% 0.63/0.81  % (8618)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.63/0.81  % (8619)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.63/0.82  % (8614)Instruction limit reached!
% 0.63/0.82  % (8614)------------------------------
% 0.63/0.82  % (8614)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (8614)Termination reason: Unknown
% 0.63/0.82  % (8614)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (8614)Memory used [KB]: 2197
% 0.63/0.82  % (8614)Time elapsed: 0.029 s
% 0.63/0.82  % (8614)Instructions burned: 56 (million)
% 0.63/0.82  % (8614)------------------------------
% 0.63/0.82  % (8614)------------------------------
% 0.63/0.82  % (8612)Instruction limit reached!
% 0.63/0.82  % (8612)------------------------------
% 0.63/0.82  % (8612)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (8612)Termination reason: Unknown
% 0.63/0.82  % (8612)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (8612)Memory used [KB]: 2156
% 0.63/0.82  % (8612)Time elapsed: 0.038 s
% 0.63/0.82  % (8612)Instructions burned: 83 (million)
% 0.63/0.82  % (8612)------------------------------
% 0.63/0.82  % (8612)------------------------------
% 0.63/0.82  % (8618)Refutation not found, incomplete strategy% (8618)------------------------------
% 0.63/0.82  % (8618)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (8618)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82  
% 0.63/0.82  % (8618)Memory used [KB]: 1508
% 0.63/0.82  % (8618)Time elapsed: 0.012 s
% 0.63/0.82  % (8618)Instructions burned: 22 (million)
% 0.63/0.82  % (8618)------------------------------
% 0.63/0.82  % (8618)------------------------------
% 0.63/0.82  % (8620)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.63/0.82  % (8621)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.63/0.83  % (8608)Instruction limit reached!
% 0.63/0.83  % (8608)------------------------------
% 0.63/0.83  % (8608)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (8608)Termination reason: Unknown
% 0.63/0.83  % (8608)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (8608)Memory used [KB]: 1955
% 0.63/0.83  % (8608)Time elapsed: 0.043 s
% 0.63/0.83  % (8608)Instructions burned: 79 (million)
% 0.63/0.83  % (8608)------------------------------
% 0.63/0.83  % (8608)------------------------------
% 0.63/0.83  % (8622)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.63/0.83  % (8615)Instruction limit reached!
% 0.63/0.83  % (8615)------------------------------
% 0.63/0.83  % (8615)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (8615)Termination reason: Unknown
% 0.63/0.83  % (8615)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (8615)Memory used [KB]: 1897
% 0.63/0.83  % (8615)Time elapsed: 0.025 s
% 0.63/0.83  % (8615)Instructions burned: 50 (million)
% 0.63/0.83  % (8615)------------------------------
% 0.63/0.83  % (8615)------------------------------
% 0.63/0.83  % (8623)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.63/0.83  % (8624)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.63/0.83  % (8617)Instruction limit reached!
% 0.63/0.83  % (8617)------------------------------
% 0.63/0.83  % (8617)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (8617)Termination reason: Unknown
% 0.63/0.83  % (8617)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (8617)Memory used [KB]: 1908
% 0.63/0.83  % (8617)Time elapsed: 0.031 s
% 0.63/0.83  % (8617)Instructions burned: 52 (million)
% 0.63/0.83  % (8617)------------------------------
% 0.63/0.83  % (8617)------------------------------
% 0.63/0.83  % (8619)Instruction limit reached!
% 0.63/0.83  % (8619)------------------------------
% 0.63/0.83  % (8619)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (8619)Termination reason: Unknown
% 0.63/0.83  % (8619)Termination phase: Saturation
% 0.63/0.84  
% 0.63/0.84  % (8619)Memory used [KB]: 2151
% 0.63/0.84  % (8619)Time elapsed: 0.025 s
% 0.63/0.84  % (8619)Instructions burned: 43 (million)
% 0.63/0.84  % (8619)------------------------------
% 0.63/0.84  % (8619)------------------------------
% 0.63/0.84  % (8625)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.63/0.84  % (8626)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.63/0.86  % (8625)Instruction limit reached!
% 0.63/0.86  % (8625)------------------------------
% 0.63/0.86  % (8625)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.86  % (8625)Termination reason: Unknown
% 0.63/0.86  % (8625)Termination phase: Saturation
% 0.63/0.86  
% 0.63/0.86  % (8625)Memory used [KB]: 1519
% 0.63/0.86  % (8625)Time elapsed: 0.019 s
% 0.63/0.86  % (8625)Instructions burned: 32 (million)
% 0.63/0.86  % (8625)------------------------------
% 0.63/0.86  % (8625)------------------------------
% 0.63/0.86  % (8627)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.98/0.86  % (8624)Instruction limit reached!
% 0.98/0.86  % (8624)------------------------------
% 0.98/0.86  % (8624)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.98/0.86  % (8624)Termination reason: Unknown
% 0.98/0.86  % (8624)Termination phase: Saturation
% 0.98/0.86  
% 0.98/0.86  % (8624)Memory used [KB]: 2212
% 0.98/0.86  % (8624)Time elapsed: 0.032 s
% 0.98/0.86  % (8624)Instructions burned: 63 (million)
% 0.98/0.86  % (8624)------------------------------
% 0.98/0.86  % (8624)------------------------------
% 0.98/0.87  % (8628)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 1.01/0.88  % (8621)Instruction limit reached!
% 1.01/0.88  % (8621)------------------------------
% 1.01/0.88  % (8621)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.01/0.88  % (8621)Termination reason: Unknown
% 1.01/0.88  % (8621)Termination phase: Saturation
% 1.01/0.88  
% 1.01/0.88  % (8621)Memory used [KB]: 2049
% 1.01/0.88  % (8621)Time elapsed: 0.055 s
% 1.01/0.88  % (8621)Instructions burned: 119 (million)
% 1.01/0.88  % (8621)------------------------------
% 1.01/0.88  % (8621)------------------------------
% 1.01/0.88  % (8623)Instruction limit reached!
% 1.01/0.88  % (8623)------------------------------
% 1.01/0.88  % (8623)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.01/0.88  % (8623)Termination reason: Unknown
% 1.01/0.88  % (8623)Termination phase: Saturation
% 1.01/0.88  
% 1.01/0.88  % (8623)Memory used [KB]: 2364
% 1.01/0.88  % (8623)Time elapsed: 0.053 s
% 1.01/0.88  % (8623)Instructions burned: 93 (million)
% 1.01/0.88  % (8623)------------------------------
% 1.01/0.88  % (8623)------------------------------
% 1.01/0.88  % (8629)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.01/0.88  % (8630)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.01/0.89  % (8622)Instruction limit reached!
% 1.01/0.89  % (8622)------------------------------
% 1.01/0.89  % (8622)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.01/0.89  % (8622)Termination reason: Unknown
% 1.01/0.89  % (8622)Termination phase: Saturation
% 1.01/0.89  
% 1.01/0.89  % (8622)Memory used [KB]: 2463
% 1.01/0.89  % (8622)Time elapsed: 0.062 s
% 1.01/0.89  % (8622)Instructions burned: 144 (million)
% 1.01/0.89  % (8622)------------------------------
% 1.01/0.89  % (8622)------------------------------
% 1.01/0.89  % (8627)Instruction limit reached!
% 1.01/0.89  % (8627)------------------------------
% 1.01/0.89  % (8627)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.01/0.89  % (8627)Termination reason: Unknown
% 1.01/0.89  % (8627)Termination phase: Saturation
% 1.01/0.89  
% 1.01/0.89  % (8627)Memory used [KB]: 2285
% 1.01/0.89  % (8627)Time elapsed: 0.030 s
% 1.01/0.89  % (8627)Instructions burned: 55 (million)
% 1.01/0.89  % (8627)------------------------------
% 1.01/0.89  % (8627)------------------------------
% 1.01/0.89  % (8631)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 1.01/0.89  % (8632)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 1.01/0.89  % (8628)Instruction limit reached!
% 1.01/0.89  % (8628)------------------------------
% 1.01/0.89  % (8628)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.01/0.89  % (8628)Termination reason: Unknown
% 1.01/0.89  % (8628)Termination phase: Saturation
% 1.01/0.89  
% 1.01/0.89  % (8628)Memory used [KB]: 1777
% 1.01/0.89  % (8628)Time elapsed: 0.027 s
% 1.01/0.89  % (8628)Instructions burned: 55 (million)
% 1.01/0.89  % (8628)------------------------------
% 1.01/0.89  % (8628)------------------------------
% 1.01/0.89  % (8633)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 1.01/0.90  % (8629)Instruction limit reached!
% 1.01/0.90  % (8629)------------------------------
% 1.01/0.90  % (8629)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.01/0.90  % (8629)Termination reason: Unknown
% 1.01/0.90  % (8629)Termination phase: Saturation
% 1.01/0.90  
% 1.01/0.90  % (8629)Memory used [KB]: 2038
% 1.01/0.90  % (8629)Time elapsed: 0.025 s
% 1.01/0.90  % (8629)Instructions burned: 46 (million)
% 1.01/0.90  % (8629)------------------------------
% 1.01/0.90  % (8629)------------------------------
% 1.01/0.91  % (8631)Instruction limit reached!
% 1.01/0.91  % (8631)------------------------------
% 1.01/0.91  % (8631)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.01/0.91  % (8631)Termination reason: Unknown
% 1.01/0.91  % (8631)Termination phase: Saturation
% 1.01/0.91  
% 1.01/0.91  % (8631)Memory used [KB]: 1542
% 1.01/0.91  % (8631)Time elapsed: 0.018 s
% 1.27/0.91  % (8631)Instructions burned: 36 (million)
% 1.27/0.91  % (8631)------------------------------
% 1.27/0.91  % (8631)------------------------------
% 1.27/0.91  % (8634)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 1.27/0.91  % (8635)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 1.27/0.91  % (8634)Refutation not found, incomplete strategy% (8634)------------------------------
% 1.27/0.91  % (8634)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.27/0.91  % (8634)Termination reason: Refutation not found, incomplete strategy
% 1.27/0.91  
% 1.27/0.91  % (8634)Memory used [KB]: 1258
% 1.27/0.91  % (8634)Time elapsed: 0.006 s
% 1.27/0.91  % (8634)Instructions burned: 8 (million)
% 1.27/0.91  % (8634)------------------------------
% 1.27/0.91  % (8634)------------------------------
% 1.27/0.91  % (8616)Instruction limit reached!
% 1.27/0.91  % (8616)------------------------------
% 1.27/0.91  % (8616)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.27/0.91  % (8616)Termination reason: Unknown
% 1.27/0.91  % (8616)Termination phase: Saturation
% 1.27/0.91  
% 1.27/0.91  % (8616)Memory used [KB]: 2796
% 1.27/0.91  % (8616)Time elapsed: 0.109 s
% 1.27/0.91  % (8616)Instructions burned: 209 (million)
% 1.27/0.91  % (8616)------------------------------
% 1.27/0.91  % (8616)------------------------------
% 1.27/0.92  % (8637)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 1.27/0.92  % (8636)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 1.27/0.92  % (8626)First to succeed.
% 1.27/0.92  % (8626)Refutation found. Thanks to Tanya!
% 1.27/0.92  % SZS status Theorem for Vampire---4
% 1.27/0.92  % SZS output start Proof for Vampire---4
% See solution above
% 1.27/0.92  % (8626)------------------------------
% 1.27/0.92  % (8626)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.27/0.92  % (8626)Termination reason: Refutation
% 1.27/0.92  
% 1.27/0.92  % (8626)Memory used [KB]: 2130
% 1.27/0.92  % (8626)Time elapsed: 0.085 s
% 1.27/0.92  % (8626)Instructions burned: 163 (million)
% 1.27/0.92  % (8626)------------------------------
% 1.27/0.92  % (8626)------------------------------
% 1.27/0.92  % (8604)Success in time 0.58 s
% 1.27/0.92  % Vampire---4.8 exiting
%------------------------------------------------------------------------------