TSTP Solution File: SWC241+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC241+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 : n019.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 09:49:40 EDT 2024

% Result   : Theorem 0.59s 0.80s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   56 (   5 unt;   0 def)
%            Number of atoms       :  531 ( 112 equ)
%            Maximal formula atoms :   52 (   9 avg)
%            Number of connectives :  731 ( 256   ~; 236   |; 207   &)
%                                         (   7 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   6 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :  191 ( 113   !;  78   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f321,plain,
    $false,
    inference(avatar_sat_refutation,[],[f255,f260,f265,f270,f271,f319]) ).

fof(f319,plain,
    ( ~ spl14_3
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6 ),
    inference(avatar_contradiction_clause,[],[f318]) ).

fof(f318,plain,
    ( $false
    | ~ spl14_3
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6 ),
    inference(subsumption_resolution,[],[f317,f264]) ).

fof(f264,plain,
    ( ssList(sK5)
    | ~ spl14_5 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl14_5
  <=> ssList(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).

fof(f317,plain,
    ( ~ ssList(sK5)
    | ~ spl14_3
    | ~ spl14_4
    | ~ spl14_6 ),
    inference(subsumption_resolution,[],[f316,f259]) ).

fof(f259,plain,
    ( ssList(sK6)
    | ~ spl14_4 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl14_4
  <=> ssList(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f316,plain,
    ( ~ ssList(sK6)
    | ~ ssList(sK5)
    | ~ spl14_3
    | ~ spl14_6 ),
    inference(subsumption_resolution,[],[f314,f269]) ).

fof(f269,plain,
    ( ssItem(sK4)
    | ~ spl14_6 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl14_6
  <=> ssItem(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).

fof(f314,plain,
    ( ~ ssItem(sK4)
    | ~ ssList(sK6)
    | ~ ssList(sK5)
    | ~ spl14_3 ),
    inference(trivial_inequality_removal,[],[f312]) ).

fof(f312,plain,
    ( sK2 != sK2
    | ~ ssItem(sK4)
    | ~ ssList(sK6)
    | ~ ssList(sK5)
    | ~ spl14_3 ),
    inference(superposition,[],[f310,f254]) ).

fof(f254,plain,
    ( sK2 = app(app(sK5,cons(sK4,nil)),sK6)
    | ~ spl14_3 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f252,plain,
    ( spl14_3
  <=> sK2 = app(app(sK5,cons(sK4,nil)),sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f310,plain,
    ! [X2,X0,X1] :
      ( sK2 != app(app(X1,cons(X0,nil)),X2)
      | ~ ssItem(X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f309,f231]) ).

fof(f231,plain,
    ! [X10,X8,X9] :
      ( ssItem(sK7(X8,X9,X10))
      | app(app(X9,cons(X8,nil)),X10) != sK2
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(definition_unfolding,[],[f172,f170]) ).

fof(f170,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( ( ( ! [X7] :
            ( ~ leq(sK4,X7)
            | ~ memberP(sK6,X7)
            | ~ memberP(sK5,X7)
            | leq(X7,sK4)
            | ~ ssItem(X7) )
        & sK2 = app(app(sK5,cons(sK4,nil)),sK6)
        & ssList(sK6)
        & ssList(sK5)
        & ssItem(sK4) )
      | nil = sK2 )
    & ! [X8] :
        ( ! [X9] :
            ( ! [X10] :
                ( ( ~ leq(X8,sK7(X8,X9,X10))
                  & lt(X8,sK7(X8,X9,X10))
                  & memberP(X10,sK7(X8,X9,X10))
                  & memberP(X9,sK7(X8,X9,X10))
                  & ssItem(sK7(X8,X9,X10)) )
                | app(app(X9,cons(X8,nil)),X10) != sK0
                | ~ ssList(X10) )
            | ~ ssList(X9) )
        | ~ ssItem(X8) )
    & 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,sK6,sK7])],[f99,f144,f143,f142,f141,f140,f139,f138,f137]) ).

fof(f137,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( ! [X7] :
                                      ( ~ leq(X4,X7)
                                      | ~ memberP(X6,X7)
                                      | ~ memberP(X5,X7)
                                      | leq(X7,X4)
                                      | ~ ssItem(X7) )
                                  & app(app(X5,cons(X4,nil)),X6) = X2
                                  & ssList(X6) )
                              & ssList(X5) )
                          & ssItem(X4) )
                      | nil = X2 )
                    & ! [X8] :
                        ( ! [X9] :
                            ( ! [X10] :
                                ( ? [X11] :
                                    ( ~ leq(X8,X11)
                                    & lt(X8,X11)
                                    & memberP(X10,X11)
                                    & memberP(X9,X11)
                                    & ssItem(X11) )
                                | app(app(X9,cons(X8,nil)),X10) != X0
                                | ~ ssList(X10) )
                            | ~ ssList(X9) )
                        | ~ ssItem(X8) )
                    & nil != X0
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ! [X7] :
                                    ( ~ leq(X4,X7)
                                    | ~ memberP(X6,X7)
                                    | ~ memberP(X5,X7)
                                    | leq(X7,X4)
                                    | ~ ssItem(X7) )
                                & app(app(X5,cons(X4,nil)),X6) = X2
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    | nil = X2 )
                  & ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( ? [X11] :
                                  ( ~ leq(X8,X11)
                                  & lt(X8,X11)
                                  & memberP(X10,X11)
                                  & memberP(X9,X11)
                                  & ssItem(X11) )
                              | app(app(X9,cons(X8,nil)),X10) != sK0
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssItem(X8) )
                  & nil != sK0
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f138,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ! [X7] :
                                  ( ~ leq(X4,X7)
                                  | ~ memberP(X6,X7)
                                  | ~ memberP(X5,X7)
                                  | leq(X7,X4)
                                  | ~ ssItem(X7) )
                              & app(app(X5,cons(X4,nil)),X6) = X2
                              & ssList(X6) )
                          & ssList(X5) )
                      & ssItem(X4) )
                  | nil = X2 )
                & ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( ? [X11] :
                                ( ~ leq(X8,X11)
                                & lt(X8,X11)
                                & memberP(X10,X11)
                                & memberP(X9,X11)
                                & ssItem(X11) )
                            | app(app(X9,cons(X8,nil)),X10) != sK0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssItem(X8) )
                & nil != sK0
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ? [X4] :
                    ( ? [X5] :
                        ( ? [X6] :
                            ( ! [X7] :
                                ( ~ leq(X4,X7)
                                | ~ memberP(X6,X7)
                                | ~ memberP(X5,X7)
                                | leq(X7,X4)
                                | ~ ssItem(X7) )
                            & app(app(X5,cons(X4,nil)),X6) = X2
                            & ssList(X6) )
                        & ssList(X5) )
                    & ssItem(X4) )
                | nil = X2 )
              & ! [X8] :
                  ( ! [X9] :
                      ( ! [X10] :
                          ( ? [X11] :
                              ( ~ leq(X8,X11)
                              & lt(X8,X11)
                              & memberP(X10,X11)
                              & memberP(X9,X11)
                              & ssItem(X11) )
                          | app(app(X9,cons(X8,nil)),X10) != sK0
                          | ~ ssList(X10) )
                      | ~ ssList(X9) )
                  | ~ ssItem(X8) )
              & nil != sK0
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ? [X4] :
                  ( ? [X5] :
                      ( ? [X6] :
                          ( ! [X7] :
                              ( ~ leq(X4,X7)
                              | ~ memberP(X6,X7)
                              | ~ memberP(X5,X7)
                              | leq(X7,X4)
                              | ~ ssItem(X7) )
                          & app(app(X5,cons(X4,nil)),X6) = X2
                          & ssList(X6) )
                      & ssList(X5) )
                  & ssItem(X4) )
              | nil = X2 )
            & ! [X8] :
                ( ! [X9] :
                    ( ! [X10] :
                        ( ? [X11] :
                            ( ~ leq(X8,X11)
                            & lt(X8,X11)
                            & memberP(X10,X11)
                            & memberP(X9,X11)
                            & ssItem(X11) )
                        | app(app(X9,cons(X8,nil)),X10) != sK0
                        | ~ ssList(X10) )
                    | ~ ssList(X9) )
                | ~ ssItem(X8) )
            & nil != sK0
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ? [X4] :
                ( ? [X5] :
                    ( ? [X6] :
                        ( ! [X7] :
                            ( ~ leq(X4,X7)
                            | ~ memberP(X6,X7)
                            | ~ memberP(X5,X7)
                            | leq(X7,X4)
                            | ~ ssItem(X7) )
                        & app(app(X5,cons(X4,nil)),X6) = sK2
                        & ssList(X6) )
                    & ssList(X5) )
                & ssItem(X4) )
            | nil = sK2 )
          & ! [X8] :
              ( ! [X9] :
                  ( ! [X10] :
                      ( ? [X11] :
                          ( ~ leq(X8,X11)
                          & lt(X8,X11)
                          & memberP(X10,X11)
                          & memberP(X9,X11)
                          & ssItem(X11) )
                      | app(app(X9,cons(X8,nil)),X10) != sK0
                      | ~ ssList(X10) )
                  | ~ ssList(X9) )
              | ~ ssItem(X8) )
          & nil != sK0
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f140,plain,
    ( ? [X3] :
        ( ( ? [X4] :
              ( ? [X5] :
                  ( ? [X6] :
                      ( ! [X7] :
                          ( ~ leq(X4,X7)
                          | ~ memberP(X6,X7)
                          | ~ memberP(X5,X7)
                          | leq(X7,X4)
                          | ~ ssItem(X7) )
                      & app(app(X5,cons(X4,nil)),X6) = sK2
                      & ssList(X6) )
                  & ssList(X5) )
              & ssItem(X4) )
          | nil = sK2 )
        & ! [X8] :
            ( ! [X9] :
                ( ! [X10] :
                    ( ? [X11] :
                        ( ~ leq(X8,X11)
                        & lt(X8,X11)
                        & memberP(X10,X11)
                        & memberP(X9,X11)
                        & ssItem(X11) )
                    | app(app(X9,cons(X8,nil)),X10) != sK0
                    | ~ ssList(X10) )
                | ~ ssList(X9) )
            | ~ ssItem(X8) )
        & nil != sK0
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ? [X4] :
            ( ? [X5] :
                ( ? [X6] :
                    ( ! [X7] :
                        ( ~ leq(X4,X7)
                        | ~ memberP(X6,X7)
                        | ~ memberP(X5,X7)
                        | leq(X7,X4)
                        | ~ ssItem(X7) )
                    & app(app(X5,cons(X4,nil)),X6) = sK2
                    & ssList(X6) )
                & ssList(X5) )
            & ssItem(X4) )
        | nil = sK2 )
      & ! [X8] :
          ( ! [X9] :
              ( ! [X10] :
                  ( ? [X11] :
                      ( ~ leq(X8,X11)
                      & lt(X8,X11)
                      & memberP(X10,X11)
                      & memberP(X9,X11)
                      & ssItem(X11) )
                  | app(app(X9,cons(X8,nil)),X10) != sK0
                  | ~ ssList(X10) )
              | ~ ssList(X9) )
          | ~ ssItem(X8) )
      & nil != sK0
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f141,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ? [X6] :
                ( ! [X7] :
                    ( ~ leq(X4,X7)
                    | ~ memberP(X6,X7)
                    | ~ memberP(X5,X7)
                    | leq(X7,X4)
                    | ~ ssItem(X7) )
                & app(app(X5,cons(X4,nil)),X6) = sK2
                & ssList(X6) )
            & ssList(X5) )
        & ssItem(X4) )
   => ( ? [X5] :
          ( ? [X6] :
              ( ! [X7] :
                  ( ~ leq(sK4,X7)
                  | ~ memberP(X6,X7)
                  | ~ memberP(X5,X7)
                  | leq(X7,sK4)
                  | ~ ssItem(X7) )
              & sK2 = app(app(X5,cons(sK4,nil)),X6)
              & ssList(X6) )
          & ssList(X5) )
      & ssItem(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( ! [X7] :
                ( ~ leq(sK4,X7)
                | ~ memberP(X6,X7)
                | ~ memberP(X5,X7)
                | leq(X7,sK4)
                | ~ ssItem(X7) )
            & sK2 = app(app(X5,cons(sK4,nil)),X6)
            & ssList(X6) )
        & ssList(X5) )
   => ( ? [X6] :
          ( ! [X7] :
              ( ~ leq(sK4,X7)
              | ~ memberP(X6,X7)
              | ~ memberP(sK5,X7)
              | leq(X7,sK4)
              | ~ ssItem(X7) )
          & sK2 = app(app(sK5,cons(sK4,nil)),X6)
          & ssList(X6) )
      & ssList(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ( ? [X6] :
        ( ! [X7] :
            ( ~ leq(sK4,X7)
            | ~ memberP(X6,X7)
            | ~ memberP(sK5,X7)
            | leq(X7,sK4)
            | ~ ssItem(X7) )
        & sK2 = app(app(sK5,cons(sK4,nil)),X6)
        & ssList(X6) )
   => ( ! [X7] :
          ( ~ leq(sK4,X7)
          | ~ memberP(sK6,X7)
          | ~ memberP(sK5,X7)
          | leq(X7,sK4)
          | ~ ssItem(X7) )
      & sK2 = app(app(sK5,cons(sK4,nil)),sK6)
      & ssList(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f144,plain,
    ! [X8,X9,X10] :
      ( ? [X11] :
          ( ~ leq(X8,X11)
          & lt(X8,X11)
          & memberP(X10,X11)
          & memberP(X9,X11)
          & ssItem(X11) )
     => ( ~ leq(X8,sK7(X8,X9,X10))
        & lt(X8,sK7(X8,X9,X10))
        & memberP(X10,sK7(X8,X9,X10))
        & memberP(X9,sK7(X8,X9,X10))
        & ssItem(sK7(X8,X9,X10)) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ! [X7] :
                                    ( ~ leq(X4,X7)
                                    | ~ memberP(X6,X7)
                                    | ~ memberP(X5,X7)
                                    | leq(X7,X4)
                                    | ~ ssItem(X7) )
                                & app(app(X5,cons(X4,nil)),X6) = X2
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    | nil = X2 )
                  & ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( ? [X11] :
                                  ( ~ leq(X8,X11)
                                  & lt(X8,X11)
                                  & memberP(X10,X11)
                                  & memberP(X9,X11)
                                  & ssItem(X11) )
                              | app(app(X9,cons(X8,nil)),X10) != X0
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssItem(X8) )
                  & 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] :
                    ( ( ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ! [X6] :
                                  ( ? [X7] :
                                      ( leq(X4,X7)
                                      & memberP(X6,X7)
                                      & memberP(X5,X7)
                                      & ~ leq(X7,X4)
                                      & ssItem(X7) )
                                  | app(app(X5,cons(X4,nil)),X6) != X2
                                  | ~ ssList(X6) ) ) )
                      & nil != X2 )
                    | ? [X8] :
                        ( ? [X9] :
                            ( ? [X10] :
                                ( ! [X11] :
                                    ( leq(X8,X11)
                                    | ~ lt(X8,X11)
                                    | ~ memberP(X10,X11)
                                    | ~ memberP(X9,X11)
                                    | ~ ssItem(X11) )
                                & app(app(X9,cons(X8,nil)),X10) = X0
                                & ssList(X10) )
                            & ssList(X9) )
                        & ssItem(X8) )
                    | nil = X0
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ( ! [X8] :
                          ( ssItem(X8)
                         => ! [X9] :
                              ( ssList(X9)
                             => ! [X10] :
                                  ( ? [X11] :
                                      ( leq(X8,X11)
                                      & memberP(X10,X11)
                                      & memberP(X9,X11)
                                      & ~ leq(X11,X8)
                                      & ssItem(X11) )
                                  | app(app(X9,cons(X8,nil)),X10) != X2
                                  | ~ ssList(X10) ) ) )
                      & nil != X2 )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ! [X7] :
                                    ( leq(X4,X7)
                                    | ~ lt(X4,X7)
                                    | ~ memberP(X6,X7)
                                    | ~ memberP(X5,X7)
                                    | ~ ssItem(X7) )
                                & app(app(X5,cons(X4,nil)),X6) = X0
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    | nil = X0
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ( ! [X8] :
                        ( ssItem(X8)
                       => ! [X9] :
                            ( ssList(X9)
                           => ! [X10] :
                                ( ? [X11] :
                                    ( leq(X8,X11)
                                    & memberP(X10,X11)
                                    & memberP(X9,X11)
                                    & ~ leq(X11,X8)
                                    & ssItem(X11) )
                                | app(app(X9,cons(X8,nil)),X10) != X2
                                | ~ ssList(X10) ) ) )
                    & nil != X2 )
                  | ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ! [X7] :
                                  ( leq(X4,X7)
                                  | ~ lt(X4,X7)
                                  | ~ memberP(X6,X7)
                                  | ~ memberP(X5,X7)
                                  | ~ ssItem(X7) )
                              & app(app(X5,cons(X4,nil)),X6) = X0
                              & ssList(X6) )
                          & ssList(X5) )
                      & ssItem(X4) )
                  | nil = X0
                  | X0 != X2
                  | X1 != X3
                  | ~ ssList(X3) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.rPYXSMJpNU/Vampire---4.8_5996',co1) ).

fof(f172,plain,
    ! [X10,X8,X9] :
      ( ssItem(sK7(X8,X9,X10))
      | app(app(X9,cons(X8,nil)),X10) != sK0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f309,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(sK7(X0,X1,X2))
      | ~ ssItem(X0)
      | sK2 != app(app(X1,cons(X0,nil)),X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f308,f227]) ).

fof(f227,plain,
    ! [X10,X8,X9] :
      ( ~ leq(X8,sK7(X8,X9,X10))
      | app(app(X9,cons(X8,nil)),X10) != sK2
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(definition_unfolding,[],[f176,f170]) ).

fof(f176,plain,
    ! [X10,X8,X9] :
      ( ~ leq(X8,sK7(X8,X9,X10))
      | app(app(X9,cons(X8,nil)),X10) != sK0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f308,plain,
    ! [X2,X0,X1] :
      ( leq(X0,sK7(X0,X1,X2))
      | ~ ssItem(sK7(X0,X1,X2))
      | ~ ssItem(X0)
      | sK2 != app(app(X1,cons(X0,nil)),X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f307]) ).

fof(f307,plain,
    ! [X2,X0,X1] :
      ( leq(X0,sK7(X0,X1,X2))
      | ~ ssItem(sK7(X0,X1,X2))
      | ~ ssItem(X0)
      | sK2 != app(app(X1,cons(X0,nil)),X2)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f220,f228]) ).

fof(f228,plain,
    ! [X10,X8,X9] :
      ( lt(X8,sK7(X8,X9,X10))
      | app(app(X9,cons(X8,nil)),X10) != sK2
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(definition_unfolding,[],[f175,f170]) ).

fof(f175,plain,
    ! [X10,X8,X9] :
      ( lt(X8,sK7(X8,X9,X10))
      | app(app(X9,cons(X8,nil)),X10) != sK0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( lt(X0,X1)
              | ~ leq(X0,X1)
              | X0 = X1 )
            & ( ( leq(X0,X1)
                & X0 != X1 )
              | ~ lt(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f163]) ).

fof(f163,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( lt(X0,X1)
              | ~ leq(X0,X1)
              | X0 = X1 )
            & ( ( leq(X0,X1)
                & X0 != X1 )
              | ~ lt(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( lt(X0,X1)
          <=> ( leq(X0,X1)
              & X0 != X1 ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( lt(X0,X1)
          <=> ( leq(X0,X1)
              & X0 != X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.rPYXSMJpNU/Vampire---4.8_5996',ax93) ).

fof(f271,plain,
    ~ spl14_1,
    inference(avatar_split_clause,[],[f232,f244]) ).

fof(f244,plain,
    ( spl14_1
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f232,plain,
    nil != sK2,
    inference(definition_unfolding,[],[f171,f170]) ).

fof(f171,plain,
    nil != sK0,
    inference(cnf_transformation,[],[f145]) ).

fof(f270,plain,
    ( spl14_1
    | spl14_6 ),
    inference(avatar_split_clause,[],[f177,f267,f244]) ).

fof(f177,plain,
    ( ssItem(sK4)
    | nil = sK2 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f265,plain,
    ( spl14_1
    | spl14_5 ),
    inference(avatar_split_clause,[],[f178,f262,f244]) ).

fof(f178,plain,
    ( ssList(sK5)
    | nil = sK2 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f260,plain,
    ( spl14_1
    | spl14_4 ),
    inference(avatar_split_clause,[],[f179,f257,f244]) ).

fof(f179,plain,
    ( ssList(sK6)
    | nil = sK2 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f255,plain,
    ( spl14_1
    | spl14_3 ),
    inference(avatar_split_clause,[],[f180,f252,f244]) ).

fof(f180,plain,
    ( sK2 = app(app(sK5,cons(sK4,nil)),sK6)
    | nil = sK2 ),
    inference(cnf_transformation,[],[f145]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC241+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.14  % 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
% 0.13/0.36  % Computer : n019.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Fri May  3 20:36:22 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36  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.rPYXSMJpNU/Vampire---4.8_5996
% 0.59/0.79  % (6105)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)
% 0.59/0.79  % (6111)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)
% 0.59/0.79  % (6110)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)
% 0.59/0.79  % (6107)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.79  % (6108)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)
% 0.59/0.79  % (6106)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)
% 0.59/0.79  % (6112)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)
% 0.59/0.79  % (6109)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)
% 0.59/0.80  % (6107)First to succeed.
% 0.59/0.80  % (6107)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6104"
% 0.59/0.80  % (6107)Refutation found. Thanks to Tanya!
% 0.59/0.80  % SZS status Theorem for Vampire---4
% 0.59/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80  % (6107)------------------------------
% 0.59/0.80  % (6107)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (6107)Termination reason: Refutation
% 0.59/0.80  
% 0.59/0.80  % (6107)Memory used [KB]: 1176
% 0.59/0.80  % (6107)Time elapsed: 0.009 s
% 0.59/0.80  % (6107)Instructions burned: 14 (million)
% 0.59/0.80  % (6104)Success in time 0.439 s
% 0.59/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------