TSTP Solution File: SWC239+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC239+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 : n027.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 : Sun May  5 09:49:39 EDT 2024

% Result   : Theorem 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   56 (   9 unt;   0 def)
%            Number of atoms       :  477 ( 147 equ)
%            Maximal formula atoms :   50 (   8 avg)
%            Number of connectives :  639 ( 218   ~; 189   |; 202   &)
%                                         (   3 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :  158 ( 100   !;  58   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f300,plain,
    $false,
    inference(avatar_sat_refutation,[],[f262,f267,f276,f299]) ).

fof(f299,plain,
    ( ~ spl12_4
    | ~ spl12_5 ),
    inference(avatar_contradiction_clause,[],[f298]) ).

fof(f298,plain,
    ( $false
    | ~ spl12_4
    | ~ spl12_5 ),
    inference(subsumption_resolution,[],[f297,f166]) ).

fof(f166,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ( ( ( nil = sK2
        & nil = sK3 )
      | ( ! [X5] :
            ( ~ leq(sK4,X5)
            | ~ memberP(sK3,X5)
            | sK4 = X5
            | ~ ssItem(X5) )
        & memberP(sK3,sK4)
        & sK2 = cons(sK4,nil)
        & ssItem(sK4) ) )
    & ! [X6] :
        ( ! [X7] :
            ( ! [X8] :
                ( ( ~ leq(X6,sK5(X6,X7,X8))
                  & lt(X6,sK5(X6,X7,X8))
                  & memberP(X8,sK5(X6,X7,X8))
                  & memberP(X7,sK5(X6,X7,X8))
                  & ssItem(sK5(X6,X7,X8)) )
                | app(app(X7,cons(X6,nil)),X8) != sK0
                | ~ ssList(X8) )
            | ~ ssList(X7) )
        | ~ ssItem(X6) )
    & nil != sK0
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f100,f143,f142,f141,f140,f139,f138]) ).

fof(f138,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( nil = X2
                        & nil = X3 )
                      | ? [X4] :
                          ( ! [X5] :
                              ( ~ leq(X4,X5)
                              | ~ memberP(X3,X5)
                              | X4 = X5
                              | ~ ssItem(X5) )
                          & memberP(X3,X4)
                          & cons(X4,nil) = X2
                          & ssItem(X4) ) )
                    & ! [X6] :
                        ( ! [X7] :
                            ( ! [X8] :
                                ( ? [X9] :
                                    ( ~ leq(X6,X9)
                                    & lt(X6,X9)
                                    & memberP(X8,X9)
                                    & memberP(X7,X9)
                                    & ssItem(X9) )
                                | app(app(X7,cons(X6,nil)),X8) != X0
                                | ~ ssList(X8) )
                            | ~ ssList(X7) )
                        | ~ ssItem(X6) )
                    & nil != X0
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( ! [X5] :
                            ( ~ leq(X4,X5)
                            | ~ memberP(X3,X5)
                            | X4 = X5
                            | ~ ssItem(X5) )
                        & memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ! [X6] :
                      ( ! [X7] :
                          ( ! [X8] :
                              ( ? [X9] :
                                  ( ~ leq(X6,X9)
                                  & lt(X6,X9)
                                  & memberP(X8,X9)
                                  & memberP(X7,X9)
                                  & ssItem(X9) )
                              | app(app(X7,cons(X6,nil)),X8) != sK0
                              | ~ ssList(X8) )
                          | ~ ssList(X7) )
                      | ~ ssItem(X6) )
                  & nil != sK0
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( nil = X2
                    & nil = X3 )
                  | ? [X4] :
                      ( ! [X5] :
                          ( ~ leq(X4,X5)
                          | ~ memberP(X3,X5)
                          | X4 = X5
                          | ~ ssItem(X5) )
                      & memberP(X3,X4)
                      & cons(X4,nil) = X2
                      & ssItem(X4) ) )
                & ! [X6] :
                    ( ! [X7] :
                        ( ! [X8] :
                            ( ? [X9] :
                                ( ~ leq(X6,X9)
                                & lt(X6,X9)
                                & memberP(X8,X9)
                                & memberP(X7,X9)
                                & ssItem(X9) )
                            | app(app(X7,cons(X6,nil)),X8) != sK0
                            | ~ ssList(X8) )
                        | ~ ssList(X7) )
                    | ~ ssItem(X6) )
                & nil != sK0
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( nil = X2
                  & nil = X3 )
                | ? [X4] :
                    ( ! [X5] :
                        ( ~ leq(X4,X5)
                        | ~ memberP(X3,X5)
                        | X4 = X5
                        | ~ ssItem(X5) )
                    & memberP(X3,X4)
                    & cons(X4,nil) = X2
                    & ssItem(X4) ) )
              & ! [X6] :
                  ( ! [X7] :
                      ( ! [X8] :
                          ( ? [X9] :
                              ( ~ leq(X6,X9)
                              & lt(X6,X9)
                              & memberP(X8,X9)
                              & memberP(X7,X9)
                              & ssItem(X9) )
                          | app(app(X7,cons(X6,nil)),X8) != sK0
                          | ~ ssList(X8) )
                      | ~ ssList(X7) )
                  | ~ ssItem(X6) )
              & nil != sK0
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f140,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( nil = X2
                & nil = X3 )
              | ? [X4] :
                  ( ! [X5] :
                      ( ~ leq(X4,X5)
                      | ~ memberP(X3,X5)
                      | X4 = X5
                      | ~ ssItem(X5) )
                  & memberP(X3,X4)
                  & cons(X4,nil) = X2
                  & ssItem(X4) ) )
            & ! [X6] :
                ( ! [X7] :
                    ( ! [X8] :
                        ( ? [X9] :
                            ( ~ leq(X6,X9)
                            & lt(X6,X9)
                            & memberP(X8,X9)
                            & memberP(X7,X9)
                            & ssItem(X9) )
                        | app(app(X7,cons(X6,nil)),X8) != sK0
                        | ~ ssList(X8) )
                    | ~ ssList(X7) )
                | ~ ssItem(X6) )
            & nil != sK0
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( nil = sK2
              & nil = X3 )
            | ? [X4] :
                ( ! [X5] :
                    ( ~ leq(X4,X5)
                    | ~ memberP(X3,X5)
                    | X4 = X5
                    | ~ ssItem(X5) )
                & memberP(X3,X4)
                & cons(X4,nil) = sK2
                & ssItem(X4) ) )
          & ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( ? [X9] :
                          ( ~ leq(X6,X9)
                          & lt(X6,X9)
                          & memberP(X8,X9)
                          & memberP(X7,X9)
                          & ssItem(X9) )
                      | app(app(X7,cons(X6,nil)),X8) != sK0
                      | ~ ssList(X8) )
                  | ~ ssList(X7) )
              | ~ ssItem(X6) )
          & nil != sK0
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f141,plain,
    ( ? [X3] :
        ( ( ( nil = sK2
            & nil = X3 )
          | ? [X4] :
              ( ! [X5] :
                  ( ~ leq(X4,X5)
                  | ~ memberP(X3,X5)
                  | X4 = X5
                  | ~ ssItem(X5) )
              & memberP(X3,X4)
              & cons(X4,nil) = sK2
              & ssItem(X4) ) )
        & ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ? [X9] :
                        ( ~ leq(X6,X9)
                        & lt(X6,X9)
                        & memberP(X8,X9)
                        & memberP(X7,X9)
                        & ssItem(X9) )
                    | app(app(X7,cons(X6,nil)),X8) != sK0
                    | ~ ssList(X8) )
                | ~ ssList(X7) )
            | ~ ssItem(X6) )
        & nil != sK0
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ( nil = sK2
          & nil = sK3 )
        | ? [X4] :
            ( ! [X5] :
                ( ~ leq(X4,X5)
                | ~ memberP(sK3,X5)
                | X4 = X5
                | ~ ssItem(X5) )
            & memberP(sK3,X4)
            & cons(X4,nil) = sK2
            & ssItem(X4) ) )
      & ! [X6] :
          ( ! [X7] :
              ( ! [X8] :
                  ( ? [X9] :
                      ( ~ leq(X6,X9)
                      & lt(X6,X9)
                      & memberP(X8,X9)
                      & memberP(X7,X9)
                      & ssItem(X9) )
                  | app(app(X7,cons(X6,nil)),X8) != sK0
                  | ~ ssList(X8) )
              | ~ ssList(X7) )
          | ~ ssItem(X6) )
      & nil != sK0
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ( ? [X4] :
        ( ! [X5] :
            ( ~ leq(X4,X5)
            | ~ memberP(sK3,X5)
            | X4 = X5
            | ~ ssItem(X5) )
        & memberP(sK3,X4)
        & cons(X4,nil) = sK2
        & ssItem(X4) )
   => ( ! [X5] :
          ( ~ leq(sK4,X5)
          | ~ memberP(sK3,X5)
          | sK4 = X5
          | ~ ssItem(X5) )
      & memberP(sK3,sK4)
      & sK2 = cons(sK4,nil)
      & ssItem(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ! [X6,X7,X8] :
      ( ? [X9] :
          ( ~ leq(X6,X9)
          & lt(X6,X9)
          & memberP(X8,X9)
          & memberP(X7,X9)
          & ssItem(X9) )
     => ( ~ leq(X6,sK5(X6,X7,X8))
        & lt(X6,sK5(X6,X7,X8))
        & memberP(X8,sK5(X6,X7,X8))
        & memberP(X7,sK5(X6,X7,X8))
        & ssItem(sK5(X6,X7,X8)) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( ! [X5] :
                            ( ~ leq(X4,X5)
                            | ~ memberP(X3,X5)
                            | X4 = X5
                            | ~ ssItem(X5) )
                        & memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ! [X6] :
                      ( ! [X7] :
                          ( ! [X8] :
                              ( ? [X9] :
                                  ( ~ leq(X6,X9)
                                  & lt(X6,X9)
                                  & memberP(X8,X9)
                                  & memberP(X7,X9)
                                  & ssItem(X9) )
                              | app(app(X7,cons(X6,nil)),X8) != X0
                              | ~ ssList(X8) )
                          | ~ ssList(X7) )
                      | ~ ssItem(X6) )
                  & nil != X0
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( ! [X5] :
                            ( ~ leq(X4,X5)
                            | ~ memberP(X3,X5)
                            | X4 = X5
                            | ~ ssItem(X5) )
                        & memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ! [X6] :
                      ( ! [X7] :
                          ( ! [X8] :
                              ( ? [X9] :
                                  ( ~ leq(X6,X9)
                                  & lt(X6,X9)
                                  & memberP(X8,X9)
                                  & memberP(X7,X9)
                                  & ssItem(X9) )
                              | app(app(X7,cons(X6,nil)),X8) != X0
                              | ~ ssList(X8) )
                          | ~ ssList(X7) )
                      | ~ ssItem(X6) )
                  & nil != X0
                  & 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)
                   => ( ( ( nil != X2
                          | nil != X3 )
                        & ! [X4] :
                            ( ssItem(X4)
                           => ( ? [X5] :
                                  ( leq(X4,X5)
                                  & memberP(X3,X5)
                                  & X4 != X5
                                  & ssItem(X5) )
                              | ~ memberP(X3,X4)
                              | cons(X4,nil) != X2 ) ) )
                      | ? [X6] :
                          ( ? [X7] :
                              ( ? [X8] :
                                  ( ! [X9] :
                                      ( ssItem(X9)
                                     => ( leq(X6,X9)
                                        | ~ lt(X6,X9)
                                        | ~ memberP(X8,X9)
                                        | ~ memberP(X7,X9) ) )
                                  & app(app(X7,cons(X6,nil)),X8) = X0
                                  & ssList(X8) )
                              & ssList(X7) )
                          & ssItem(X6) )
                      | nil = X0
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( nil != X2
                        | nil != X3 )
                      & ! [X8] :
                          ( ssItem(X8)
                         => ( ? [X9] :
                                ( leq(X8,X9)
                                & memberP(X3,X9)
                                & X8 != X9
                                & ssItem(X9) )
                            | ~ memberP(X3,X8)
                            | cons(X8,nil) != X2 ) ) )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ! [X7] :
                                    ( ssItem(X7)
                                   => ( leq(X4,X7)
                                      | ~ lt(X4,X7)
                                      | ~ memberP(X6,X7)
                                      | ~ memberP(X5,X7) ) )
                                & app(app(X5,cons(X4,nil)),X6) = X0
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    | nil = X0
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OsqkNr4unb/Vampire---4.8_3891',co1) ).

fof(f297,plain,
    ( ~ ssList(sK2)
    | ~ spl12_4
    | ~ spl12_5 ),
    inference(trivial_inequality_removal,[],[f296]) ).

fof(f296,plain,
    ( sK2 != sK2
    | ~ ssList(sK2)
    | ~ spl12_4
    | ~ spl12_5 ),
    inference(superposition,[],[f294,f195]) ).

fof(f195,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,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/tmp/tmp.OsqkNr4unb/Vampire---4.8_3891',ax84) ).

fof(f294,plain,
    ( sK2 != app(sK2,nil)
    | ~ spl12_4
    | ~ spl12_5 ),
    inference(subsumption_resolution,[],[f293,f206]) ).

fof(f206,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.OsqkNr4unb/Vampire---4.8_3891',ax17) ).

fof(f293,plain,
    ( sK2 != app(sK2,nil)
    | ~ ssList(nil)
    | ~ spl12_4
    | ~ spl12_5 ),
    inference(superposition,[],[f287,f290]) ).

fof(f290,plain,
    sK2 = app(nil,sK2),
    inference(resolution,[],[f203,f166]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,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/tmp/tmp.OsqkNr4unb/Vampire---4.8_3891',ax28) ).

fof(f287,plain,
    ( ! [X0] :
        ( sK2 != app(app(X0,sK2),nil)
        | ~ ssList(X0) )
    | ~ spl12_4
    | ~ spl12_5 ),
    inference(subsumption_resolution,[],[f286,f266]) ).

fof(f266,plain,
    ( ssItem(sK4)
    | ~ spl12_5 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl12_5
  <=> ssItem(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

fof(f286,plain,
    ( ! [X0] :
        ( sK2 != app(app(X0,sK2),nil)
        | ~ ssList(X0)
        | ~ ssItem(sK4) )
    | ~ spl12_4 ),
    inference(superposition,[],[f285,f261]) ).

fof(f261,plain,
    ( sK2 = cons(sK4,nil)
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f259,plain,
    ( spl12_4
  <=> sK2 = cons(sK4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( sK2 != app(app(X0,cons(X1,nil)),nil)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(subsumption_resolution,[],[f284,f206]) ).

fof(f284,plain,
    ! [X0,X1] :
      ( sK2 != app(app(X0,cons(X1,nil)),nil)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f283]) ).

fof(f283,plain,
    ! [X0,X1] :
      ( sK2 != app(app(X0,cons(X1,nil)),nil)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | sK2 != app(app(X0,cons(X1,nil)),nil)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(resolution,[],[f279,f233]) ).

fof(f233,plain,
    ! [X8,X6,X7] :
      ( ssItem(sK5(X6,X7,X8))
      | app(app(X7,cons(X6,nil)),X8) != sK2
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f171,f169]) ).

fof(f169,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f144]) ).

fof(f171,plain,
    ! [X8,X6,X7] :
      ( ssItem(sK5(X6,X7,X8))
      | app(app(X7,cons(X6,nil)),X8) != sK0
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f279,plain,
    ! [X0,X1] :
      ( ~ ssItem(sK5(X0,X1,nil))
      | sK2 != app(app(X1,cons(X0,nil)),nil)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f277,f206]) ).

fof(f277,plain,
    ! [X0,X1] :
      ( ~ ssItem(sK5(X0,X1,nil))
      | sK2 != app(app(X1,cons(X0,nil)),nil)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f207,f231]) ).

fof(f231,plain,
    ! [X8,X6,X7] :
      ( memberP(X8,sK5(X6,X7,X8))
      | app(app(X7,cons(X6,nil)),X8) != sK2
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f173,f169]) ).

fof(f173,plain,
    ! [X8,X6,X7] :
      ( memberP(X8,sK5(X6,X7,X8))
      | app(app(X7,cons(X6,nil)),X8) != sK0
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,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.OsqkNr4unb/Vampire---4.8_3891',ax38) ).

fof(f276,plain,
    ~ spl12_2,
    inference(avatar_split_clause,[],[f234,f249]) ).

fof(f249,plain,
    ( spl12_2
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f234,plain,
    nil != sK2,
    inference(definition_unfolding,[],[f170,f169]) ).

fof(f170,plain,
    nil != sK0,
    inference(cnf_transformation,[],[f144]) ).

fof(f267,plain,
    ( spl12_5
    | spl12_2 ),
    inference(avatar_split_clause,[],[f180,f249,f264]) ).

fof(f180,plain,
    ( nil = sK2
    | ssItem(sK4) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f262,plain,
    ( spl12_4
    | spl12_2 ),
    inference(avatar_split_clause,[],[f181,f249,f259]) ).

fof(f181,plain,
    ( nil = sK2
    | sK2 = cons(sK4,nil) ),
    inference(cnf_transformation,[],[f144]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC239+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15  % 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
% 0.16/0.36  % Computer : n027.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 20:26:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.OsqkNr4unb/Vampire---4.8_3891
% 0.60/0.80  % (4063)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)
% 0.60/0.80  % (4066)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)
% 0.60/0.80  % (4065)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (4064)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)
% 0.60/0.80  % (4067)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)
% 0.60/0.80  % (4068)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)
% 0.60/0.80  % (4069)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)
% 0.60/0.80  % (4070)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)
% 0.60/0.81  % (4065)First to succeed.
% 0.60/0.81  % (4065)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4062"
% 0.60/0.81  % (4065)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Theorem for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (4065)------------------------------
% 0.60/0.81  % (4065)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (4065)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (4065)Memory used [KB]: 1179
% 0.60/0.81  % (4065)Time elapsed: 0.009 s
% 0.60/0.81  % (4065)Instructions burned: 12 (million)
% 0.60/0.81  % (4062)Success in time 0.438 s
% 0.60/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------