TSTP Solution File: SWC192+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC192+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 04:00:27 EDT 2024

% Result   : Theorem 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  157 (  13 unt;   0 def)
%            Number of atoms       :  847 ( 189 equ)
%            Maximal formula atoms :   34 (   5 avg)
%            Number of connectives : 1090 ( 400   ~; 396   |; 221   &)
%                                         (  17 <=>;  56  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :  245 ( 142   !; 103   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1251,plain,
    $false,
    inference(avatar_sat_refutation,[],[f224,f229,f350,f354,f358,f363,f461,f497,f815,f1197]) ).

fof(f1197,plain,
    ( ~ spl15_3
    | ~ spl15_4
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(avatar_contradiction_clause,[],[f1196]) ).

fof(f1196,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_4
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f1163,f863]) ).

fof(f863,plain,
    ( sK4 = sK5
    | ~ spl15_3
    | ~ spl15_4
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f862,f156]) ).

fof(f156,plain,
    ssItem(sK5),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( ( ( nil = sK2
        & nil = sK3 )
      | ( memberP(sK3,sK4)
        & sK2 = cons(sK4,nil)
        & ssItem(sK4) ) )
    & sK5 != sK6
    & sK0 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8)
    & ssList(sK8)
    & ssList(sK7)
    & ssItem(sK6)
    & ssItem(sK5)
    & 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,sK6,sK7,sK8])],[f100,f131,f130,f129,f128,f127,f126,f125,f124,f123]) ).

fof(f123,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( nil = X2
                        & nil = X3 )
                      | ? [X4] :
                          ( memberP(X3,X4)
                          & cons(X4,nil) = X2
                          & ssItem(X4) ) )
                    & ? [X5] :
                        ( ? [X6] :
                            ( ? [X7] :
                                ( ? [X8] :
                                    ( X5 != X6
                                    & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = X0
                                    & ssList(X8) )
                                & ssList(X7) )
                            & ssItem(X6) )
                        & ssItem(X5) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ? [X5] :
                      ( ? [X6] :
                          ( ? [X7] :
                              ( ? [X8] :
                                  ( X5 != X6
                                  & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK0
                                  & ssList(X8) )
                              & ssList(X7) )
                          & ssItem(X6) )
                      & ssItem(X5) )
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( nil = X2
                    & nil = X3 )
                  | ? [X4] :
                      ( memberP(X3,X4)
                      & cons(X4,nil) = X2
                      & ssItem(X4) ) )
                & ? [X5] :
                    ( ? [X6] :
                        ( ? [X7] :
                            ( ? [X8] :
                                ( X5 != X6
                                & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK0
                                & ssList(X8) )
                            & ssList(X7) )
                        & ssItem(X6) )
                    & ssItem(X5) )
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( nil = X2
                  & nil = X3 )
                | ? [X4] :
                    ( memberP(X3,X4)
                    & cons(X4,nil) = X2
                    & ssItem(X4) ) )
              & ? [X5] :
                  ( ? [X6] :
                      ( ? [X7] :
                          ( ? [X8] :
                              ( X5 != X6
                              & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK0
                              & ssList(X8) )
                          & ssList(X7) )
                      & ssItem(X6) )
                  & ssItem(X5) )
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( nil = X2
                & nil = X3 )
              | ? [X4] :
                  ( memberP(X3,X4)
                  & cons(X4,nil) = X2
                  & ssItem(X4) ) )
            & ? [X5] :
                ( ? [X6] :
                    ( ? [X7] :
                        ( ? [X8] :
                            ( X5 != X6
                            & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK0
                            & ssList(X8) )
                        & ssList(X7) )
                    & ssItem(X6) )
                & ssItem(X5) )
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( nil = sK2
              & nil = X3 )
            | ? [X4] :
                ( memberP(X3,X4)
                & cons(X4,nil) = sK2
                & ssItem(X4) ) )
          & ? [X5] :
              ( ? [X6] :
                  ( ? [X7] :
                      ( ? [X8] :
                          ( X5 != X6
                          & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK0
                          & ssList(X8) )
                      & ssList(X7) )
                  & ssItem(X6) )
              & ssItem(X5) )
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ( ? [X3] :
        ( ( ( nil = sK2
            & nil = X3 )
          | ? [X4] :
              ( memberP(X3,X4)
              & cons(X4,nil) = sK2
              & ssItem(X4) ) )
        & ? [X5] :
            ( ? [X6] :
                ( ? [X7] :
                    ( ? [X8] :
                        ( X5 != X6
                        & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK0
                        & ssList(X8) )
                    & ssList(X7) )
                & ssItem(X6) )
            & ssItem(X5) )
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ( nil = sK2
          & nil = sK3 )
        | ? [X4] :
            ( memberP(sK3,X4)
            & cons(X4,nil) = sK2
            & ssItem(X4) ) )
      & ? [X5] :
          ( ? [X6] :
              ( ? [X7] :
                  ( ? [X8] :
                      ( X5 != X6
                      & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK0
                      & ssList(X8) )
                  & ssList(X7) )
              & ssItem(X6) )
          & ssItem(X5) )
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ( ? [X4] :
        ( memberP(sK3,X4)
        & cons(X4,nil) = sK2
        & ssItem(X4) )
   => ( memberP(sK3,sK4)
      & sK2 = cons(sK4,nil)
      & ssItem(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( ? [X7] :
                ( ? [X8] :
                    ( X5 != X6
                    & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = sK0
                    & ssList(X8) )
                & ssList(X7) )
            & ssItem(X6) )
        & ssItem(X5) )
   => ( ? [X6] :
          ( ? [X7] :
              ( ? [X8] :
                  ( sK5 != X6
                  & sK0 = app(app(app(X7,cons(sK5,nil)),cons(X6,nil)),X8)
                  & ssList(X8) )
              & ssList(X7) )
          & ssItem(X6) )
      & ssItem(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ( ? [X6] :
        ( ? [X7] :
            ( ? [X8] :
                ( sK5 != X6
                & sK0 = app(app(app(X7,cons(sK5,nil)),cons(X6,nil)),X8)
                & ssList(X8) )
            & ssList(X7) )
        & ssItem(X6) )
   => ( ? [X7] :
          ( ? [X8] :
              ( sK5 != sK6
              & sK0 = app(app(app(X7,cons(sK5,nil)),cons(sK6,nil)),X8)
              & ssList(X8) )
          & ssList(X7) )
      & ssItem(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ( ? [X7] :
        ( ? [X8] :
            ( sK5 != sK6
            & sK0 = app(app(app(X7,cons(sK5,nil)),cons(sK6,nil)),X8)
            & ssList(X8) )
        & ssList(X7) )
   => ( ? [X8] :
          ( sK5 != sK6
          & sK0 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),X8)
          & ssList(X8) )
      & ssList(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ( ? [X8] :
        ( sK5 != sK6
        & sK0 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),X8)
        & ssList(X8) )
   => ( sK5 != sK6
      & sK0 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8)
      & ssList(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ? [X5] :
                      ( ? [X6] :
                          ( ? [X7] :
                              ( ? [X8] :
                                  ( X5 != X6
                                  & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = X0
                                  & ssList(X8) )
                              & ssList(X7) )
                          & ssItem(X6) )
                      & ssItem(X5) )
                  & 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] :
                        ( memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ? [X5] :
                      ( ? [X6] :
                          ( ? [X7] :
                              ( ? [X8] :
                                  ( X5 != X6
                                  & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = X0
                                  & ssList(X8) )
                              & ssList(X7) )
                          & ssItem(X6) )
                      & ssItem(X5) )
                  & 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)
                           => ( ~ memberP(X3,X4)
                              | cons(X4,nil) != X2 ) ) )
                      | ! [X5] :
                          ( ssItem(X5)
                         => ! [X6] :
                              ( ssItem(X6)
                             => ! [X7] :
                                  ( ssList(X7)
                                 => ! [X8] :
                                      ( ssList(X8)
                                     => ( X5 = X6
                                        | app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != 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)
                           => ( ~ memberP(X3,X8)
                              | cons(X8,nil) != X2 ) ) )
                      | ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ssItem(X5)
                             => ! [X6] :
                                  ( ssList(X6)
                                 => ! [X7] :
                                      ( ssList(X7)
                                     => ( X4 = X5
                                        | app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != 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)
                         => ( ~ memberP(X3,X8)
                            | cons(X8,nil) != X2 ) ) )
                    | ! [X4] :
                        ( ssItem(X4)
                       => ! [X5] :
                            ( ssItem(X5)
                           => ! [X6] :
                                ( ssList(X6)
                               => ! [X7] :
                                    ( ssList(X7)
                                   => ( X4 = X5
                                      | app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) ) ) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.xR8pEDPaJ9/Vampire---4.8_7639',co1) ).

fof(f862,plain,
    ( sK4 = sK5
    | ~ ssItem(sK5)
    | ~ spl15_3
    | ~ spl15_4
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(resolution,[],[f861,f539]) ).

fof(f539,plain,
    ( ! [X0] :
        ( ~ memberP(sK2,X0)
        | sK4 = X0
        | ~ ssItem(X0) )
    | ~ spl15_3
    | ~ spl15_4 ),
    inference(subsumption_resolution,[],[f538,f191]) ).

fof(f191,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/sandbox/tmp/tmp.xR8pEDPaJ9/Vampire---4.8_7639',ax38) ).

fof(f538,plain,
    ( ! [X0] :
        ( ~ memberP(sK2,X0)
        | sK4 = X0
        | memberP(nil,X0)
        | ~ ssItem(X0) )
    | ~ spl15_3
    | ~ spl15_4 ),
    inference(subsumption_resolution,[],[f537,f228]) ).

fof(f228,plain,
    ( ssItem(sK4)
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl15_4
  <=> ssItem(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f537,plain,
    ( ! [X0] :
        ( ~ memberP(sK2,X0)
        | sK4 = X0
        | memberP(nil,X0)
        | ~ ssItem(sK4)
        | ~ ssItem(X0) )
    | ~ spl15_3 ),
    inference(subsumption_resolution,[],[f526,f190]) ).

fof(f190,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.xR8pEDPaJ9/Vampire---4.8_7639',ax17) ).

fof(f526,plain,
    ( ! [X0] :
        ( ~ memberP(sK2,X0)
        | sK4 = X0
        | memberP(nil,X0)
        | ~ ssList(nil)
        | ~ ssItem(sK4)
        | ~ ssItem(X0) )
    | ~ spl15_3 ),
    inference(superposition,[],[f192,f223]) ).

fof(f223,plain,
    ( sK2 = cons(sK4,nil)
    | ~ spl15_3 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl15_3
  <=> sK2 = cons(sK4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f192,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X1,X2),X0)
      | X0 = X1
      | memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,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,[],[f141]) ).

fof(f141,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,[],[f120]) ).

fof(f120,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/sandbox/tmp/tmp.xR8pEDPaJ9/Vampire---4.8_7639',ax37) ).

fof(f861,plain,
    ( memberP(sK2,sK5)
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f860,f273]) ).

fof(f273,plain,
    ( ssList(app(sK7,cons(sK5,nil)))
    | ~ spl15_9 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f272,plain,
    ( spl15_9
  <=> ssList(app(sK7,cons(sK5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).

fof(f860,plain,
    ( memberP(sK2,sK5)
    | ~ ssList(app(sK7,cons(sK5,nil)))
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f859,f158]) ).

fof(f158,plain,
    ssList(sK7),
    inference(cnf_transformation,[],[f132]) ).

fof(f859,plain,
    ( memberP(sK2,sK5)
    | ~ ssList(sK7)
    | ~ ssList(app(sK7,cons(sK5,nil)))
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f858,f190]) ).

fof(f858,plain,
    ( memberP(sK2,sK5)
    | ~ ssList(nil)
    | ~ ssList(sK7)
    | ~ ssList(app(sK7,cons(sK5,nil)))
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f851,f156]) ).

fof(f851,plain,
    ( memberP(sK2,sK5)
    | ~ ssItem(sK5)
    | ~ ssList(nil)
    | ~ ssList(sK7)
    | ~ ssList(app(sK7,cons(sK5,nil)))
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(duplicate_literal_removal,[],[f850]) ).

fof(f850,plain,
    ( memberP(sK2,sK5)
    | ~ ssItem(sK5)
    | ~ ssList(nil)
    | ~ ssList(sK7)
    | ~ ssItem(sK5)
    | ~ ssList(app(sK7,cons(sK5,nil)))
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(resolution,[],[f845,f208]) ).

fof(f208,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,[],[f201]) ).

fof(f201,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,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(X2,cons(X1,X3)) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(sK13(X0,X1),cons(X1,sK14(X0,X1))) = X0
                & ssList(sK14(X0,X1))
                & ssList(sK13(X0,X1)) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f146,f148,f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(X4,cons(X1,X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(sK13(X0,X1),cons(X1,X5)) = X0
            & ssList(X5) )
        & ssList(sK13(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(sK13(X0,X1),cons(X1,X5)) = X0
          & ssList(X5) )
     => ( app(sK13(X0,X1),cons(X1,sK14(X0,X1))) = X0
        & ssList(sK14(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,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,[],[f145]) ).

fof(f145,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,[],[f122]) ).

fof(f122,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/sandbox/tmp/tmp.xR8pEDPaJ9/Vampire---4.8_7639',ax3) ).

fof(f845,plain,
    ( ! [X0] :
        ( ~ memberP(app(sK7,cons(sK5,nil)),X0)
        | memberP(sK2,X0)
        | ~ ssItem(X0) )
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f844,f273]) ).

fof(f844,plain,
    ( ! [X0] :
        ( memberP(sK2,X0)
        | ~ memberP(app(sK7,cons(sK5,nil)),X0)
        | ~ ssList(app(sK7,cons(sK5,nil)))
        | ~ ssItem(X0) )
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f828,f805]) ).

fof(f805,plain,
    ( ssList(app(cons(sK6,nil),sK8))
    | ~ spl15_32 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f804,plain,
    ( spl15_32
  <=> ssList(app(cons(sK6,nil),sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).

fof(f828,plain,
    ( ! [X0] :
        ( memberP(sK2,X0)
        | ~ memberP(app(sK7,cons(sK5,nil)),X0)
        | ~ ssList(app(cons(sK6,nil),sK8))
        | ~ ssList(app(sK7,cons(sK5,nil)))
        | ~ ssItem(X0) )
    | ~ spl15_7
    | ~ spl15_9 ),
    inference(superposition,[],[f196,f499]) ).

fof(f499,plain,
    ( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8))
    | ~ spl15_7
    | ~ spl15_9 ),
    inference(subsumption_resolution,[],[f498,f273]) ).

fof(f498,plain,
    ( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8))
    | ~ ssList(app(sK7,cons(sK5,nil)))
    | ~ spl15_7 ),
    inference(subsumption_resolution,[],[f269,f262]) ).

fof(f262,plain,
    ( ssList(cons(sK6,nil))
    | ~ spl15_7 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl15_7
  <=> ssList(cons(sK6,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f269,plain,
    ( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8))
    | ~ ssList(cons(sK6,nil))
    | ~ ssList(app(sK7,cons(sK5,nil))) ),
    inference(subsumption_resolution,[],[f240,f159]) ).

fof(f159,plain,
    ssList(sK8),
    inference(cnf_transformation,[],[f132]) ).

fof(f240,plain,
    ( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8))
    | ~ ssList(sK8)
    | ~ ssList(cons(sK6,nil))
    | ~ ssList(app(sK7,cons(sK5,nil))) ),
    inference(superposition,[],[f202,f183]) ).

fof(f183,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),X2) = app(X0,app(X1,X2))
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( app(app(X0,X1),X2) = app(X0,app(X1,X2))
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.xR8pEDPaJ9/Vampire---4.8_7639',ax82) ).

fof(f202,plain,
    sK2 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8),
    inference(definition_unfolding,[],[f160,f155]) ).

fof(f155,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f132]) ).

fof(f160,plain,
    sK0 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8),
    inference(cnf_transformation,[],[f132]) ).

fof(f196,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X1,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,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,[],[f143]) ).

fof(f143,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,[],[f121]) ).

fof(f121,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/sandbox/tmp/tmp.xR8pEDPaJ9/Vampire---4.8_7639',ax36) ).

fof(f1163,plain,
    ( sK4 != sK5
    | ~ spl15_3
    | ~ spl15_4
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(superposition,[],[f161,f1161]) ).

fof(f1161,plain,
    ( sK4 = sK6
    | ~ spl15_3
    | ~ spl15_4
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f1160,f157]) ).

fof(f157,plain,
    ssItem(sK6),
    inference(cnf_transformation,[],[f132]) ).

fof(f1160,plain,
    ( sK4 = sK6
    | ~ ssItem(sK6)
    | ~ spl15_3
    | ~ spl15_4
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(resolution,[],[f1159,f539]) ).

fof(f1159,plain,
    ( memberP(sK2,sK6)
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f1158,f190]) ).

fof(f1158,plain,
    ( memberP(sK2,sK6)
    | ~ ssList(nil)
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f1156,f157]) ).

fof(f1156,plain,
    ( ~ ssItem(sK6)
    | memberP(sK2,sK6)
    | ~ ssList(nil)
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(duplicate_literal_removal,[],[f1155]) ).

fof(f1155,plain,
    ( ~ ssItem(sK6)
    | memberP(sK2,sK6)
    | ~ ssList(nil)
    | ~ ssItem(sK6)
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(resolution,[],[f1153,f210]) ).

fof(f210,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f207,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f193]) ).

fof(f193,plain,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | X0 != X1
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f1153,plain,
    ( ! [X0] :
        ( ~ memberP(cons(sK6,nil),X0)
        | ~ ssItem(X0)
        | memberP(sK2,X0) )
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f1152,f262]) ).

fof(f1152,plain,
    ( ! [X0] :
        ( memberP(sK2,X0)
        | ~ ssItem(X0)
        | ~ memberP(cons(sK6,nil),X0)
        | ~ ssList(cons(sK6,nil)) )
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f1151,f159]) ).

fof(f1151,plain,
    ( ! [X0] :
        ( memberP(sK2,X0)
        | ~ ssItem(X0)
        | ~ memberP(cons(sK6,nil),X0)
        | ~ ssList(sK8)
        | ~ ssList(cons(sK6,nil)) )
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(duplicate_literal_removal,[],[f1148]) ).

fof(f1148,plain,
    ( ! [X0] :
        ( memberP(sK2,X0)
        | ~ ssItem(X0)
        | ~ memberP(cons(sK6,nil),X0)
        | ~ ssList(sK8)
        | ~ ssList(cons(sK6,nil))
        | ~ ssItem(X0) )
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(resolution,[],[f847,f196]) ).

fof(f847,plain,
    ( ! [X0] :
        ( ~ memberP(app(cons(sK6,nil),sK8),X0)
        | memberP(sK2,X0)
        | ~ ssItem(X0) )
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f846,f273]) ).

fof(f846,plain,
    ( ! [X0] :
        ( memberP(sK2,X0)
        | ~ memberP(app(cons(sK6,nil),sK8),X0)
        | ~ ssList(app(sK7,cons(sK5,nil)))
        | ~ ssItem(X0) )
    | ~ spl15_7
    | ~ spl15_9
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f829,f805]) ).

fof(f829,plain,
    ( ! [X0] :
        ( memberP(sK2,X0)
        | ~ memberP(app(cons(sK6,nil),sK8),X0)
        | ~ ssList(app(cons(sK6,nil),sK8))
        | ~ ssList(app(sK7,cons(sK5,nil)))
        | ~ ssItem(X0) )
    | ~ spl15_7
    | ~ spl15_9 ),
    inference(superposition,[],[f197,f499]) ).

fof(f197,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f161,plain,
    sK5 != sK6,
    inference(cnf_transformation,[],[f132]) ).

fof(f815,plain,
    ( ~ spl15_7
    | spl15_32 ),
    inference(avatar_contradiction_clause,[],[f814]) ).

fof(f814,plain,
    ( $false
    | ~ spl15_7
    | spl15_32 ),
    inference(subsumption_resolution,[],[f813,f262]) ).

fof(f813,plain,
    ( ~ ssList(cons(sK6,nil))
    | spl15_32 ),
    inference(subsumption_resolution,[],[f812,f159]) ).

fof(f812,plain,
    ( ~ ssList(sK8)
    | ~ ssList(cons(sK6,nil))
    | spl15_32 ),
    inference(resolution,[],[f806,f189]) ).

fof(f189,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/sandbox/tmp/tmp.xR8pEDPaJ9/Vampire---4.8_7639',ax26) ).

fof(f806,plain,
    ( ~ ssList(app(cons(sK6,nil),sK8))
    | spl15_32 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f497,plain,
    ( ~ spl15_11
    | spl15_13
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f496,f216,f294,f283]) ).

fof(f283,plain,
    ( spl15_11
  <=> ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

fof(f294,plain,
    ( spl15_13
  <=> nil = app(app(sK7,cons(sK5,nil)),cons(sK6,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).

fof(f216,plain,
    ( spl15_2
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f496,plain,
    ( nil != sK2
    | nil = app(app(sK7,cons(sK5,nil)),cons(sK6,nil))
    | ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil))) ),
    inference(subsumption_resolution,[],[f242,f159]) ).

fof(f242,plain,
    ( nil != sK2
    | nil = app(app(sK7,cons(sK5,nil)),cons(sK6,nil))
    | ~ ssList(sK8)
    | ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil))) ),
    inference(superposition,[],[f181,f202]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.xR8pEDPaJ9/Vampire---4.8_7639',ax83) ).

fof(f461,plain,
    ( ~ spl15_9
    | ~ spl15_13 ),
    inference(avatar_contradiction_clause,[],[f460]) ).

fof(f460,plain,
    ( $false
    | ~ spl15_9
    | ~ spl15_13 ),
    inference(subsumption_resolution,[],[f459,f157]) ).

fof(f459,plain,
    ( ~ ssItem(sK6)
    | ~ spl15_9
    | ~ spl15_13 ),
    inference(resolution,[],[f422,f191]) ).

fof(f422,plain,
    ( memberP(nil,sK6)
    | ~ spl15_9
    | ~ spl15_13 ),
    inference(subsumption_resolution,[],[f421,f157]) ).

fof(f421,plain,
    ( memberP(nil,sK6)
    | ~ ssItem(sK6)
    | ~ spl15_9
    | ~ spl15_13 ),
    inference(subsumption_resolution,[],[f420,f273]) ).

fof(f420,plain,
    ( memberP(nil,sK6)
    | ~ ssList(app(sK7,cons(sK5,nil)))
    | ~ ssItem(sK6)
    | ~ spl15_13 ),
    inference(subsumption_resolution,[],[f414,f190]) ).

fof(f414,plain,
    ( memberP(nil,sK6)
    | ~ ssList(nil)
    | ~ ssList(app(sK7,cons(sK5,nil)))
    | ~ ssItem(sK6)
    | ~ spl15_13 ),
    inference(duplicate_literal_removal,[],[f398]) ).

fof(f398,plain,
    ( memberP(nil,sK6)
    | ~ ssList(nil)
    | ~ ssList(app(sK7,cons(sK5,nil)))
    | ~ ssItem(sK6)
    | ~ ssList(nil)
    | ~ spl15_13 ),
    inference(superposition,[],[f208,f296]) ).

fof(f296,plain,
    ( nil = app(app(sK7,cons(sK5,nil)),cons(sK6,nil))
    | ~ spl15_13 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f363,plain,
    ( ~ spl15_7
    | ~ spl15_9
    | spl15_11 ),
    inference(avatar_contradiction_clause,[],[f362]) ).

fof(f362,plain,
    ( $false
    | ~ spl15_7
    | ~ spl15_9
    | spl15_11 ),
    inference(subsumption_resolution,[],[f361,f273]) ).

fof(f361,plain,
    ( ~ ssList(app(sK7,cons(sK5,nil)))
    | ~ spl15_7
    | spl15_11 ),
    inference(subsumption_resolution,[],[f359,f262]) ).

fof(f359,plain,
    ( ~ ssList(cons(sK6,nil))
    | ~ ssList(app(sK7,cons(sK5,nil)))
    | spl15_11 ),
    inference(resolution,[],[f285,f189]) ).

fof(f285,plain,
    ( ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)))
    | spl15_11 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f358,plain,
    ( ~ spl15_6
    | spl15_9 ),
    inference(avatar_contradiction_clause,[],[f357]) ).

fof(f357,plain,
    ( $false
    | ~ spl15_6
    | spl15_9 ),
    inference(subsumption_resolution,[],[f356,f158]) ).

fof(f356,plain,
    ( ~ ssList(sK7)
    | ~ spl15_6
    | spl15_9 ),
    inference(subsumption_resolution,[],[f355,f258]) ).

fof(f258,plain,
    ( ssList(cons(sK5,nil))
    | ~ spl15_6 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl15_6
  <=> ssList(cons(sK5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f355,plain,
    ( ~ ssList(cons(sK5,nil))
    | ~ ssList(sK7)
    | spl15_9 ),
    inference(resolution,[],[f274,f189]) ).

fof(f274,plain,
    ( ~ ssList(app(sK7,cons(sK5,nil)))
    | spl15_9 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f354,plain,
    spl15_6,
    inference(avatar_contradiction_clause,[],[f353]) ).

fof(f353,plain,
    ( $false
    | spl15_6 ),
    inference(subsumption_resolution,[],[f352,f190]) ).

fof(f352,plain,
    ( ~ ssList(nil)
    | spl15_6 ),
    inference(subsumption_resolution,[],[f351,f156]) ).

fof(f351,plain,
    ( ~ ssItem(sK5)
    | ~ ssList(nil)
    | spl15_6 ),
    inference(resolution,[],[f259,f178]) ).

fof(f178,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/sandbox/tmp/tmp.xR8pEDPaJ9/Vampire---4.8_7639',ax16) ).

fof(f259,plain,
    ( ~ ssList(cons(sK5,nil))
    | spl15_6 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f350,plain,
    spl15_7,
    inference(avatar_contradiction_clause,[],[f349]) ).

fof(f349,plain,
    ( $false
    | spl15_7 ),
    inference(subsumption_resolution,[],[f348,f190]) ).

fof(f348,plain,
    ( ~ ssList(nil)
    | spl15_7 ),
    inference(subsumption_resolution,[],[f347,f157]) ).

fof(f347,plain,
    ( ~ ssItem(sK6)
    | ~ ssList(nil)
    | spl15_7 ),
    inference(resolution,[],[f263,f178]) ).

fof(f263,plain,
    ( ~ ssList(cons(sK6,nil))
    | spl15_7 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f229,plain,
    ( spl15_4
    | spl15_2 ),
    inference(avatar_split_clause,[],[f165,f216,f226]) ).

fof(f165,plain,
    ( nil = sK2
    | ssItem(sK4) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f224,plain,
    ( spl15_3
    | spl15_2 ),
    inference(avatar_split_clause,[],[f166,f216,f221]) ).

fof(f166,plain,
    ( nil = sK2
    | sK2 = cons(sK4,nil) ),
    inference(cnf_transformation,[],[f132]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SWC192+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:38:48 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.xR8pEDPaJ9/Vampire---4.8_7639
% 0.61/0.77  % (7899)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 (2996ds/83Mi)
% 0.61/0.77  % (7893)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 (2996ds/34Mi)
% 0.61/0.77  % (7895)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.77  % (7894)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 (2996ds/51Mi)
% 0.61/0.77  % (7896)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.61/0.77  % (7898)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.61/0.77  % (7900)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 (2996ds/56Mi)
% 0.61/0.77  % (7900)Refutation not found, incomplete strategy% (7900)------------------------------
% 0.61/0.77  % (7900)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (7900)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (7900)Memory used [KB]: 1153
% 0.61/0.77  % (7900)Time elapsed: 0.004 s
% 0.61/0.77  % (7900)Instructions burned: 5 (million)
% 0.61/0.77  % (7900)------------------------------
% 0.61/0.77  % (7900)------------------------------
% 0.61/0.78  % (7897)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 (2996ds/34Mi)
% 0.61/0.78  % (7901)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 (2996ds/55Mi)
% 0.61/0.79  % (7896)Instruction limit reached!
% 0.61/0.79  % (7896)------------------------------
% 0.61/0.79  % (7896)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (7896)Termination reason: Unknown
% 0.61/0.79  % (7896)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (7896)Memory used [KB]: 1681
% 0.61/0.79  % (7896)Time elapsed: 0.019 s
% 0.61/0.79  % (7896)Instructions burned: 33 (million)
% 0.61/0.79  % (7896)------------------------------
% 0.61/0.79  % (7896)------------------------------
% 0.61/0.79  % (7899)Instruction limit reached!
% 0.61/0.79  % (7899)------------------------------
% 0.61/0.79  % (7899)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (7899)Termination reason: Unknown
% 0.61/0.79  % (7899)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (7899)Memory used [KB]: 2093
% 0.61/0.79  % (7899)Time elapsed: 0.023 s
% 0.61/0.79  % (7899)Instructions burned: 84 (million)
% 0.61/0.79  % (7899)------------------------------
% 0.61/0.79  % (7899)------------------------------
% 0.61/0.79  % (7893)Instruction limit reached!
% 0.61/0.79  % (7893)------------------------------
% 0.61/0.79  % (7893)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (7893)Termination reason: Unknown
% 0.61/0.79  % (7893)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (7893)Memory used [KB]: 1493
% 0.61/0.79  % (7893)Time elapsed: 0.023 s
% 0.61/0.79  % (7893)Instructions burned: 34 (million)
% 0.61/0.79  % (7893)------------------------------
% 0.61/0.79  % (7893)------------------------------
% 0.61/0.79  % (7898)First to succeed.
% 0.61/0.79  % (7902)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)
% 0.61/0.80  % (7903)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)
% 0.61/0.80  % (7897)Instruction limit reached!
% 0.61/0.80  % (7897)------------------------------
% 0.61/0.80  % (7897)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (7897)Termination reason: Unknown
% 0.61/0.80  % (7897)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (7897)Memory used [KB]: 1841
% 0.61/0.80  % (7897)Time elapsed: 0.021 s
% 0.61/0.80  % (7904)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)
% 0.61/0.80  % (7897)Instructions burned: 35 (million)
% 0.61/0.80  % (7897)------------------------------
% 0.61/0.80  % (7897)------------------------------
% 0.61/0.80  % (7898)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Theorem for Vampire---4
% 0.61/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80  % (7898)------------------------------
% 0.61/0.80  % (7898)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (7898)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (7898)Memory used [KB]: 1506
% 0.61/0.80  % (7898)Time elapsed: 0.028 s
% 0.61/0.80  % (7898)Instructions burned: 48 (million)
% 0.61/0.80  % (7898)------------------------------
% 0.61/0.80  % (7898)------------------------------
% 0.61/0.80  % (7889)Success in time 0.425 s
% 0.61/0.80  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.61/0.80  7889 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.xR8pEDPaJ9/Vampire---4.8_7639
% 0.61/0.80  % (7889)------------------------------
% 0.61/0.80  % (7889)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (7889)Termination reason: Unknown
% 0.61/0.80  % (7889)Termination phase: Unknown
% 0.61/0.80  
% 0.61/0.80  % (7889)Memory used [KB]: 549
% 0.61/0.80  % (7889)Time elapsed: 0.425 s
% 0.61/0.80  % (7889)Instructions burned: 961 (million)
% 0.61/0.80  % (7889)------------------------------
% 0.61/0.80  % (7889)------------------------------
% 0.61/0.80  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  ???
% 0.61/0.80   ???
% 0.61/0.80    ???
% 0.61/0.80     ???
% 0.61/0.80      ???
% 0.61/0.80       ???
% 0.61/0.80        ???
% 0.61/0.80         ???
% 0.61/0.80          ???
% 0.61/0.80           ???
% 0.61/0.80            ???
% 0.61/0.80             ???
% 0.61/0.80              ???
% 0.61/0.80               ???
% 0.61/0.80                ???
% 0.61/0.80                 ???
% 0.61/0.80                  ???
% 0.61/0.80                   ???
% 0.61/0.80                    ???
% 0.61/0.80                     ???
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------