TSTP Solution File: SWC222+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC222+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:39:42 EDT 2022

% Result   : Theorem 1.71s 0.57s
% Output   : Refutation 1.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   87 (   9 unt;   0 def)
%            Number of atoms       :  663 ( 139 equ)
%            Maximal formula atoms :   52 (   7 avg)
%            Number of connectives :  894 ( 318   ~; 325   |; 215   &)
%                                         (   4 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   5 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-3 aty)
%            Number of variables   :  222 ( 134   !;  88   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f487,plain,
    $false,
    inference(avatar_sat_refutation,[],[f252,f286,f473,f479,f486]) ).

fof(f486,plain,
    ( spl14_1
    | ~ spl14_6
    | ~ spl14_11
    | ~ spl14_12 ),
    inference(avatar_contradiction_clause,[],[f485]) ).

fof(f485,plain,
    ( $false
    | spl14_1
    | ~ spl14_6
    | ~ spl14_11
    | ~ spl14_12 ),
    inference(subsumption_resolution,[],[f484,f472]) ).

fof(f472,plain,
    ( ssItem(sK11(sK1(sK6),nil,sK0(sK6)))
    | ~ spl14_12 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f470,plain,
    ( spl14_12
  <=> ssItem(sK11(sK1(sK6),nil,sK0(sK6))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).

fof(f484,plain,
    ( ~ ssItem(sK11(sK1(sK6),nil,sK0(sK6)))
    | spl14_1
    | ~ spl14_6
    | ~ spl14_11 ),
    inference(resolution,[],[f483,f181]) ).

fof(f181,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).

fof(f483,plain,
    ( memberP(nil,sK11(sK1(sK6),nil,sK0(sK6)))
    | spl14_1
    | ~ spl14_6
    | ~ spl14_11 ),
    inference(subsumption_resolution,[],[f482,f467]) ).

fof(f467,plain,
    ( ssList(cons(sK1(sK6),nil))
    | ~ spl14_11 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f466,plain,
    ( spl14_11
  <=> ssList(cons(sK1(sK6),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).

fof(f482,plain,
    ( memberP(nil,sK11(sK1(sK6),nil,sK0(sK6)))
    | ~ ssList(cons(sK1(sK6),nil))
    | spl14_1
    | ~ spl14_6 ),
    inference(subsumption_resolution,[],[f481,f245]) ).

fof(f245,plain,
    ( nil != sK6
    | spl14_1 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl14_1
  <=> nil = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f481,plain,
    ( nil = sK6
    | ~ ssList(cons(sK1(sK6),nil))
    | memberP(nil,sK11(sK1(sK6),nil,sK0(sK6)))
    | ~ spl14_6 ),
    inference(subsumption_resolution,[],[f480,f202]) ).

fof(f202,plain,
    ssList(sK6),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ( ( ( ssItem(sK8)
        & ssList(sK9)
        & app(app(sK9,cons(sK8,nil)),sK10) = sK6
        & ssList(sK10)
        & ! [X7] :
            ( ~ ssItem(X7)
            | ~ memberP(sK9,X7)
            | ~ lt(sK8,X7)
            | leq(sK8,X7)
            | ~ memberP(sK10,X7) ) )
      | nil = sK6 )
    & nil != sK4
    & ssList(sK7)
    & sK4 = sK6
    & sK5 = sK7
    & ! [X8] :
        ( ~ ssItem(X8)
        | ! [X9] :
            ( ~ ssList(X9)
            | ! [X10] :
                ( ~ ssList(X10)
                | app(app(X9,cons(X8,nil)),X10) != sK4
                | ( ssItem(sK11(X8,X9,X10))
                  & memberP(X9,sK11(X8,X9,X10))
                  & ~ leq(sK11(X8,X9,X10),X8)
                  & memberP(X10,sK11(X8,X9,X10))
                  & leq(X8,sK11(X8,X9,X10)) ) ) ) )
    & ssList(sK6)
    & ssList(sK5)
    & ssList(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f131,f158,f157,f156,f155,f154,f153,f152,f151]) ).

fof(f151,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ? [X4] :
                          ( ssItem(X4)
                          & ? [X5] :
                              ( ssList(X5)
                              & ? [X6] :
                                  ( app(app(X5,cons(X4,nil)),X6) = X2
                                  & ssList(X6)
                                  & ! [X7] :
                                      ( ~ ssItem(X7)
                                      | ~ memberP(X5,X7)
                                      | ~ lt(X4,X7)
                                      | leq(X4,X7)
                                      | ~ memberP(X6,X7) ) ) ) )
                      | nil = X2 )
                    & nil != X0
                    & ssList(X3)
                    & X0 = X2
                    & X1 = X3
                    & ! [X8] :
                        ( ~ ssItem(X8)
                        | ! [X9] :
                            ( ~ ssList(X9)
                            | ! [X10] :
                                ( ~ ssList(X10)
                                | app(app(X9,cons(X8,nil)),X10) != X0
                                | ? [X11] :
                                    ( ssItem(X11)
                                    & memberP(X9,X11)
                                    & ~ leq(X11,X8)
                                    & memberP(X10,X11)
                                    & leq(X8,X11) ) ) ) ) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & ? [X6] :
                                ( app(app(X5,cons(X4,nil)),X6) = X2
                                & ssList(X6)
                                & ! [X7] :
                                    ( ~ ssItem(X7)
                                    | ~ memberP(X5,X7)
                                    | ~ lt(X4,X7)
                                    | leq(X4,X7)
                                    | ~ memberP(X6,X7) ) ) ) )
                    | nil = X2 )
                  & nil != sK4
                  & ssList(X3)
                  & sK4 = X2
                  & X1 = X3
                  & ! [X8] :
                      ( ~ ssItem(X8)
                      | ! [X9] :
                          ( ~ ssList(X9)
                          | ! [X10] :
                              ( ~ ssList(X10)
                              | app(app(X9,cons(X8,nil)),X10) != sK4
                              | ? [X11] :
                                  ( ssItem(X11)
                                  & memberP(X9,X11)
                                  & ~ leq(X11,X8)
                                  & memberP(X10,X11)
                                  & leq(X8,X11) ) ) ) ) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f152,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ? [X4] :
                      ( ssItem(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & ? [X6] :
                              ( app(app(X5,cons(X4,nil)),X6) = X2
                              & ssList(X6)
                              & ! [X7] :
                                  ( ~ ssItem(X7)
                                  | ~ memberP(X5,X7)
                                  | ~ lt(X4,X7)
                                  | leq(X4,X7)
                                  | ~ memberP(X6,X7) ) ) ) )
                  | nil = X2 )
                & nil != sK4
                & ssList(X3)
                & sK4 = X2
                & X1 = X3
                & ! [X8] :
                    ( ~ ssItem(X8)
                    | ! [X9] :
                        ( ~ ssList(X9)
                        | ! [X10] :
                            ( ~ ssList(X10)
                            | app(app(X9,cons(X8,nil)),X10) != sK4
                            | ? [X11] :
                                ( ssItem(X11)
                                & memberP(X9,X11)
                                & ~ leq(X11,X8)
                                & memberP(X10,X11)
                                & leq(X8,X11) ) ) ) ) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ? [X4] :
                    ( ssItem(X4)
                    & ? [X5] :
                        ( ssList(X5)
                        & ? [X6] :
                            ( app(app(X5,cons(X4,nil)),X6) = X2
                            & ssList(X6)
                            & ! [X7] :
                                ( ~ ssItem(X7)
                                | ~ memberP(X5,X7)
                                | ~ lt(X4,X7)
                                | leq(X4,X7)
                                | ~ memberP(X6,X7) ) ) ) )
                | nil = X2 )
              & nil != sK4
              & ssList(X3)
              & sK4 = X2
              & sK5 = X3
              & ! [X8] :
                  ( ~ ssItem(X8)
                  | ! [X9] :
                      ( ~ ssList(X9)
                      | ! [X10] :
                          ( ~ ssList(X10)
                          | app(app(X9,cons(X8,nil)),X10) != sK4
                          | ? [X11] :
                              ( ssItem(X11)
                              & memberP(X9,X11)
                              & ~ leq(X11,X8)
                              & memberP(X10,X11)
                              & leq(X8,X11) ) ) ) ) )
          & ssList(X2) )
      & ssList(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f153,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ? [X4] :
                  ( ssItem(X4)
                  & ? [X5] :
                      ( ssList(X5)
                      & ? [X6] :
                          ( app(app(X5,cons(X4,nil)),X6) = X2
                          & ssList(X6)
                          & ! [X7] :
                              ( ~ ssItem(X7)
                              | ~ memberP(X5,X7)
                              | ~ lt(X4,X7)
                              | leq(X4,X7)
                              | ~ memberP(X6,X7) ) ) ) )
              | nil = X2 )
            & nil != sK4
            & ssList(X3)
            & sK4 = X2
            & sK5 = X3
            & ! [X8] :
                ( ~ ssItem(X8)
                | ! [X9] :
                    ( ~ ssList(X9)
                    | ! [X10] :
                        ( ~ ssList(X10)
                        | app(app(X9,cons(X8,nil)),X10) != sK4
                        | ? [X11] :
                            ( ssItem(X11)
                            & memberP(X9,X11)
                            & ~ leq(X11,X8)
                            & memberP(X10,X11)
                            & leq(X8,X11) ) ) ) ) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ? [X4] :
                ( ssItem(X4)
                & ? [X5] :
                    ( ssList(X5)
                    & ? [X6] :
                        ( app(app(X5,cons(X4,nil)),X6) = sK6
                        & ssList(X6)
                        & ! [X7] :
                            ( ~ ssItem(X7)
                            | ~ memberP(X5,X7)
                            | ~ lt(X4,X7)
                            | leq(X4,X7)
                            | ~ memberP(X6,X7) ) ) ) )
            | nil = sK6 )
          & nil != sK4
          & ssList(X3)
          & sK4 = sK6
          & sK5 = X3
          & ! [X8] :
              ( ~ ssItem(X8)
              | ! [X9] :
                  ( ~ ssList(X9)
                  | ! [X10] :
                      ( ~ ssList(X10)
                      | app(app(X9,cons(X8,nil)),X10) != sK4
                      | ? [X11] :
                          ( ssItem(X11)
                          & memberP(X9,X11)
                          & ~ leq(X11,X8)
                          & memberP(X10,X11)
                          & leq(X8,X11) ) ) ) ) )
      & ssList(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f154,plain,
    ( ? [X3] :
        ( ( ? [X4] :
              ( ssItem(X4)
              & ? [X5] :
                  ( ssList(X5)
                  & ? [X6] :
                      ( app(app(X5,cons(X4,nil)),X6) = sK6
                      & ssList(X6)
                      & ! [X7] :
                          ( ~ ssItem(X7)
                          | ~ memberP(X5,X7)
                          | ~ lt(X4,X7)
                          | leq(X4,X7)
                          | ~ memberP(X6,X7) ) ) ) )
          | nil = sK6 )
        & nil != sK4
        & ssList(X3)
        & sK4 = sK6
        & sK5 = X3
        & ! [X8] :
            ( ~ ssItem(X8)
            | ! [X9] :
                ( ~ ssList(X9)
                | ! [X10] :
                    ( ~ ssList(X10)
                    | app(app(X9,cons(X8,nil)),X10) != sK4
                    | ? [X11] :
                        ( ssItem(X11)
                        & memberP(X9,X11)
                        & ~ leq(X11,X8)
                        & memberP(X10,X11)
                        & leq(X8,X11) ) ) ) ) )
   => ( ( ? [X4] :
            ( ssItem(X4)
            & ? [X5] :
                ( ssList(X5)
                & ? [X6] :
                    ( app(app(X5,cons(X4,nil)),X6) = sK6
                    & ssList(X6)
                    & ! [X7] :
                        ( ~ ssItem(X7)
                        | ~ memberP(X5,X7)
                        | ~ lt(X4,X7)
                        | leq(X4,X7)
                        | ~ memberP(X6,X7) ) ) ) )
        | nil = sK6 )
      & nil != sK4
      & ssList(sK7)
      & sK4 = sK6
      & sK5 = sK7
      & ! [X8] :
          ( ~ ssItem(X8)
          | ! [X9] :
              ( ~ ssList(X9)
              | ! [X10] :
                  ( ~ ssList(X10)
                  | app(app(X9,cons(X8,nil)),X10) != sK4
                  | ? [X11] :
                      ( ssItem(X11)
                      & memberP(X9,X11)
                      & ~ leq(X11,X8)
                      & memberP(X10,X11)
                      & leq(X8,X11) ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f155,plain,
    ( ? [X4] :
        ( ssItem(X4)
        & ? [X5] :
            ( ssList(X5)
            & ? [X6] :
                ( app(app(X5,cons(X4,nil)),X6) = sK6
                & ssList(X6)
                & ! [X7] :
                    ( ~ ssItem(X7)
                    | ~ memberP(X5,X7)
                    | ~ lt(X4,X7)
                    | leq(X4,X7)
                    | ~ memberP(X6,X7) ) ) ) )
   => ( ssItem(sK8)
      & ? [X5] :
          ( ssList(X5)
          & ? [X6] :
              ( app(app(X5,cons(sK8,nil)),X6) = sK6
              & ssList(X6)
              & ! [X7] :
                  ( ~ ssItem(X7)
                  | ~ memberP(X5,X7)
                  | ~ lt(sK8,X7)
                  | leq(sK8,X7)
                  | ~ memberP(X6,X7) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f156,plain,
    ( ? [X5] :
        ( ssList(X5)
        & ? [X6] :
            ( app(app(X5,cons(sK8,nil)),X6) = sK6
            & ssList(X6)
            & ! [X7] :
                ( ~ ssItem(X7)
                | ~ memberP(X5,X7)
                | ~ lt(sK8,X7)
                | leq(sK8,X7)
                | ~ memberP(X6,X7) ) ) )
   => ( ssList(sK9)
      & ? [X6] :
          ( app(app(sK9,cons(sK8,nil)),X6) = sK6
          & ssList(X6)
          & ! [X7] :
              ( ~ ssItem(X7)
              | ~ memberP(sK9,X7)
              | ~ lt(sK8,X7)
              | leq(sK8,X7)
              | ~ memberP(X6,X7) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f157,plain,
    ( ? [X6] :
        ( app(app(sK9,cons(sK8,nil)),X6) = sK6
        & ssList(X6)
        & ! [X7] :
            ( ~ ssItem(X7)
            | ~ memberP(sK9,X7)
            | ~ lt(sK8,X7)
            | leq(sK8,X7)
            | ~ memberP(X6,X7) ) )
   => ( app(app(sK9,cons(sK8,nil)),sK10) = sK6
      & ssList(sK10)
      & ! [X7] :
          ( ~ ssItem(X7)
          | ~ memberP(sK9,X7)
          | ~ lt(sK8,X7)
          | leq(sK8,X7)
          | ~ memberP(sK10,X7) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f158,plain,
    ! [X8,X9,X10] :
      ( ? [X11] :
          ( ssItem(X11)
          & memberP(X9,X11)
          & ~ leq(X11,X8)
          & memberP(X10,X11)
          & leq(X8,X11) )
     => ( ssItem(sK11(X8,X9,X10))
        & memberP(X9,sK11(X8,X9,X10))
        & ~ leq(sK11(X8,X9,X10),X8)
        & memberP(X10,sK11(X8,X9,X10))
        & leq(X8,sK11(X8,X9,X10)) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & ? [X6] :
                                ( app(app(X5,cons(X4,nil)),X6) = X2
                                & ssList(X6)
                                & ! [X7] :
                                    ( ~ ssItem(X7)
                                    | ~ memberP(X5,X7)
                                    | ~ lt(X4,X7)
                                    | leq(X4,X7)
                                    | ~ memberP(X6,X7) ) ) ) )
                    | nil = X2 )
                  & nil != X0
                  & ssList(X3)
                  & X0 = X2
                  & X1 = X3
                  & ! [X8] :
                      ( ~ ssItem(X8)
                      | ! [X9] :
                          ( ~ ssList(X9)
                          | ! [X10] :
                              ( ~ ssList(X10)
                              | app(app(X9,cons(X8,nil)),X10) != X0
                              | ? [X11] :
                                  ( ssItem(X11)
                                  & memberP(X9,X11)
                                  & ~ leq(X11,X8)
                                  & memberP(X10,X11)
                                  & leq(X8,X11) ) ) ) ) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( X1 != X3
                    | ( nil != X2
                      & ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ! [X6] :
                                  ( ? [X7] :
                                      ( ~ leq(X4,X7)
                                      & ssItem(X7)
                                      & lt(X4,X7)
                                      & memberP(X6,X7)
                                      & memberP(X5,X7) )
                                  | ~ ssList(X6)
                                  | app(app(X5,cons(X4,nil)),X6) != X2 ) ) ) )
                    | X0 != X2
                    | nil = X0
                    | ? [X8] :
                        ( ? [X9] :
                            ( ? [X10] :
                                ( ! [X11] :
                                    ( ~ ssItem(X11)
                                    | leq(X11,X8)
                                    | ~ memberP(X9,X11)
                                    | ~ memberP(X10,X11)
                                    | ~ leq(X8,X11) )
                                & ssList(X10)
                                & app(app(X9,cons(X8,nil)),X10) = X0 )
                            & ssList(X9) )
                        & ssItem(X8) )
                    | ~ ssList(X3) ) ) ) ),
    inference(rectify,[],[f97]) ).

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( X1 != X3
                  | X0 != X2
                  | ~ ssList(X3)
                  | ( ! [X8] :
                        ( ssItem(X8)
                       => ! [X9] :
                            ( ssList(X9)
                           => ! [X10] :
                                ( ? [X11] :
                                    ( memberP(X9,X11)
                                    & ~ leq(X8,X11)
                                    & lt(X8,X11)
                                    & ssItem(X11)
                                    & memberP(X10,X11) )
                                | app(app(X9,cons(X8,nil)),X10) != X2
                                | ~ ssList(X10) ) ) )
                    & nil != X2 )
                  | ? [X4] :
                      ( ssItem(X4)
                      & ? [X5] :
                          ( ? [X6] :
                              ( ssList(X6)
                              & app(app(X5,cons(X4,nil)),X6) = X0
                              & ! [X7] :
                                  ( ~ memberP(X6,X7)
                                  | ~ ssItem(X7)
                                  | leq(X7,X4)
                                  | ~ memberP(X5,X7)
                                  | ~ leq(X4,X7) ) )
                          & ssList(X5) ) )
                  | nil = X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f480,plain,
    ( ~ ssList(sK6)
    | ~ ssList(cons(sK1(sK6),nil))
    | memberP(nil,sK11(sK1(sK6),nil,sK0(sK6)))
    | nil = sK6
    | ~ spl14_6 ),
    inference(equality_resolution,[],[f461]) ).

fof(f461,plain,
    ( ! [X0] :
        ( sK6 != X0
        | ~ ssList(cons(sK1(X0),nil))
        | nil = X0
        | ~ ssList(X0)
        | memberP(nil,sK11(sK1(X0),nil,sK0(X0))) )
    | ~ spl14_6 ),
    inference(subsumption_resolution,[],[f460,f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ssList(sK0(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( ( ssList(sK0(X0))
        & ssItem(sK1(X0))
        & cons(sK1(X0),sK0(X0)) = X0 )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f119,f140,f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
     => ( ssList(sK0(X0))
        & ? [X2] :
            ( ssItem(X2)
            & cons(X2,sK0(X0)) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f140,plain,
    ! [X0] :
      ( ? [X2] :
          ( ssItem(X2)
          & cons(X2,sK0(X0)) = X0 )
     => ( ssItem(sK1(X0))
        & cons(sK1(X0),sK0(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f119,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssItem(X2)
                & cons(X2,X1) = X0 ) )
        | nil = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f460,plain,
    ( ! [X0] :
        ( ~ ssList(sK0(X0))
        | ~ ssList(X0)
        | nil = X0
        | sK6 != X0
        | memberP(nil,sK11(sK1(X0),nil,sK0(X0)))
        | ~ ssList(cons(sK1(X0),nil)) )
    | ~ spl14_6 ),
    inference(subsumption_resolution,[],[f459,f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ssItem(sK1(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f459,plain,
    ( ! [X0] :
        ( sK6 != X0
        | ~ ssItem(sK1(X0))
        | ~ ssList(X0)
        | nil = X0
        | ~ ssList(sK0(X0))
        | ~ ssList(cons(sK1(X0),nil))
        | memberP(nil,sK11(sK1(X0),nil,sK0(X0))) )
    | ~ spl14_6 ),
    inference(superposition,[],[f439,f173]) ).

fof(f173,plain,
    ! [X0] :
      ( cons(sK1(X0),sK0(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f141]) ).

fof(f439,plain,
    ( ! [X2,X3] :
        ( sK6 != cons(X2,X3)
        | ~ ssList(X3)
        | memberP(nil,sK11(X2,nil,X3))
        | ~ ssItem(X2)
        | ~ ssList(cons(X2,nil)) )
    | ~ spl14_6 ),
    inference(duplicate_literal_removal,[],[f417]) ).

fof(f417,plain,
    ( ! [X2,X3] :
        ( ~ ssItem(X2)
        | ~ ssList(X3)
        | ~ ssList(X3)
        | ~ ssList(cons(X2,nil))
        | memberP(nil,sK11(X2,nil,X3))
        | sK6 != cons(X2,X3)
        | ~ ssItem(X2) )
    | ~ spl14_6 ),
    inference(superposition,[],[f340,f193]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).

fof(f340,plain,
    ( ! [X2,X3] :
        ( app(cons(X2,nil),X3) != sK6
        | ~ ssItem(X2)
        | ~ ssList(X3)
        | ~ ssList(cons(X2,nil))
        | memberP(nil,sK11(X2,nil,X3)) )
    | ~ spl14_6 ),
    inference(subsumption_resolution,[],[f318,f269]) ).

fof(f269,plain,
    ( ssList(nil)
    | ~ spl14_6 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl14_6
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).

fof(f318,plain,
    ! [X2,X3] :
      ( ~ ssList(X3)
      | ~ ssItem(X2)
      | memberP(nil,sK11(X2,nil,X3))
      | app(cons(X2,nil),X3) != sK6
      | ~ ssList(nil)
      | ~ ssList(cons(X2,nil)) ),
    inference(superposition,[],[f229,f226]) ).

fof(f226,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(ennf_transformation,[],[f28]) ).

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

fof(f229,plain,
    ! [X10,X8,X9] :
      ( app(app(X9,cons(X8,nil)),X10) != sK6
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8)
      | memberP(X9,sK11(X8,X9,X10)) ),
    inference(definition_unfolding,[],[f206,f209]) ).

fof(f209,plain,
    sK4 = sK6,
    inference(cnf_transformation,[],[f159]) ).

fof(f206,plain,
    ! [X10,X8,X9] :
      ( ~ ssItem(X8)
      | ~ ssList(X9)
      | ~ ssList(X10)
      | app(app(X9,cons(X8,nil)),X10) != sK4
      | memberP(X9,sK11(X8,X9,X10)) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f479,plain,
    ( spl14_1
    | ~ spl14_6
    | spl14_11 ),
    inference(avatar_contradiction_clause,[],[f478]) ).

fof(f478,plain,
    ( $false
    | spl14_1
    | ~ spl14_6
    | spl14_11 ),
    inference(subsumption_resolution,[],[f477,f202]) ).

fof(f477,plain,
    ( ~ ssList(sK6)
    | spl14_1
    | ~ spl14_6
    | spl14_11 ),
    inference(subsumption_resolution,[],[f476,f245]) ).

fof(f476,plain,
    ( nil = sK6
    | ~ ssList(sK6)
    | ~ spl14_6
    | spl14_11 ),
    inference(resolution,[],[f475,f174]) ).

fof(f475,plain,
    ( ~ ssItem(sK1(sK6))
    | ~ spl14_6
    | spl14_11 ),
    inference(subsumption_resolution,[],[f474,f269]) ).

fof(f474,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK1(sK6))
    | spl14_11 ),
    inference(resolution,[],[f468,f172]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | ssList(cons(X1,X0)) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

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

fof(f468,plain,
    ( ~ ssList(cons(sK1(sK6),nil))
    | spl14_11 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f473,plain,
    ( ~ spl14_11
    | spl14_12
    | spl14_1
    | ~ spl14_6 ),
    inference(avatar_split_clause,[],[f464,f268,f244,f470,f466]) ).

fof(f464,plain,
    ( ssItem(sK11(sK1(sK6),nil,sK0(sK6)))
    | ~ ssList(cons(sK1(sK6),nil))
    | spl14_1
    | ~ spl14_6 ),
    inference(subsumption_resolution,[],[f463,f202]) ).

fof(f463,plain,
    ( ~ ssList(cons(sK1(sK6),nil))
    | ~ ssList(sK6)
    | ssItem(sK11(sK1(sK6),nil,sK0(sK6)))
    | spl14_1
    | ~ spl14_6 ),
    inference(subsumption_resolution,[],[f462,f245]) ).

fof(f462,plain,
    ( nil = sK6
    | ssItem(sK11(sK1(sK6),nil,sK0(sK6)))
    | ~ ssList(sK6)
    | ~ ssList(cons(sK1(sK6),nil))
    | ~ spl14_6 ),
    inference(equality_resolution,[],[f449]) ).

fof(f449,plain,
    ( ! [X0] :
        ( sK6 != X0
        | ~ ssList(X0)
        | nil = X0
        | ssItem(sK11(sK1(X0),nil,sK0(X0)))
        | ~ ssList(cons(sK1(X0),nil)) )
    | ~ spl14_6 ),
    inference(subsumption_resolution,[],[f448,f174]) ).

fof(f448,plain,
    ( ! [X0] :
        ( ssItem(sK11(sK1(X0),nil,sK0(X0)))
        | ~ ssList(cons(sK1(X0),nil))
        | ~ ssList(X0)
        | sK6 != X0
        | nil = X0
        | ~ ssItem(sK1(X0)) )
    | ~ spl14_6 ),
    inference(subsumption_resolution,[],[f447,f175]) ).

fof(f447,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sK1(X0),nil))
        | ~ ssList(sK0(X0))
        | nil = X0
        | ~ ssItem(sK1(X0))
        | ~ ssList(X0)
        | ssItem(sK11(sK1(X0),nil,sK0(X0)))
        | sK6 != X0 )
    | ~ spl14_6 ),
    inference(superposition,[],[f435,f173]) ).

fof(f435,plain,
    ( ! [X8,X9] :
        ( sK6 != cons(X8,X9)
        | ~ ssItem(X8)
        | ssItem(sK11(X8,nil,X9))
        | ~ ssList(cons(X8,nil))
        | ~ ssList(X9) )
    | ~ spl14_6 ),
    inference(duplicate_literal_removal,[],[f420]) ).

fof(f420,plain,
    ( ! [X8,X9] :
        ( ssItem(sK11(X8,nil,X9))
        | sK6 != cons(X8,X9)
        | ~ ssItem(X8)
        | ~ ssList(X9)
        | ~ ssList(cons(X8,nil))
        | ~ ssItem(X8)
        | ~ ssList(X9) )
    | ~ spl14_6 ),
    inference(superposition,[],[f333,f193]) ).

fof(f333,plain,
    ( ! [X0,X1] :
        ( sK6 != app(cons(X0,nil),X1)
        | ssItem(sK11(X0,nil,X1))
        | ~ ssList(X1)
        | ~ ssList(cons(X0,nil))
        | ~ ssItem(X0) )
    | ~ spl14_6 ),
    inference(subsumption_resolution,[],[f317,f269]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( sK6 != app(cons(X0,nil),X1)
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ssItem(sK11(X0,nil,X1)) ),
    inference(superposition,[],[f228,f226]) ).

fof(f228,plain,
    ! [X10,X8,X9] :
      ( app(app(X9,cons(X8,nil)),X10) != sK6
      | ssItem(sK11(X8,X9,X10))
      | ~ ssList(X10)
      | ~ ssItem(X8)
      | ~ ssList(X9) ),
    inference(definition_unfolding,[],[f207,f209]) ).

fof(f207,plain,
    ! [X10,X8,X9] :
      ( ~ ssItem(X8)
      | ~ ssList(X9)
      | ~ ssList(X10)
      | app(app(X9,cons(X8,nil)),X10) != sK4
      | ssItem(sK11(X8,X9,X10)) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f286,plain,
    spl14_6,
    inference(avatar_split_clause,[],[f165,f268]) ).

fof(f165,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f252,plain,
    ~ spl14_1,
    inference(avatar_split_clause,[],[f227,f244]) ).

fof(f227,plain,
    nil != sK6,
    inference(definition_unfolding,[],[f211,f209]) ).

fof(f211,plain,
    nil != sK4,
    inference(cnf_transformation,[],[f159]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWC222+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n001.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 18:57:47 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.46  % (1948)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.47  % (1956)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.48  % (1956)Instruction limit reached!
% 0.19/0.48  % (1956)------------------------------
% 0.19/0.48  % (1956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (1956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (1956)Termination reason: Unknown
% 0.19/0.48  % (1956)Termination phase: Naming
% 0.19/0.48  
% 0.19/0.48  % (1956)Memory used [KB]: 1535
% 0.19/0.48  % (1956)Time elapsed: 0.003 s
% 0.19/0.48  % (1956)Instructions burned: 3 (million)
% 0.19/0.48  % (1956)------------------------------
% 0.19/0.48  % (1956)------------------------------
% 0.19/0.49  % (1948)Instruction limit reached!
% 0.19/0.49  % (1948)------------------------------
% 0.19/0.49  % (1948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (1948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (1948)Termination reason: Unknown
% 0.19/0.49  % (1948)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (1948)Memory used [KB]: 6652
% 0.19/0.49  % (1948)Time elapsed: 0.090 s
% 0.19/0.49  % (1948)Instructions burned: 33 (million)
% 0.19/0.49  % (1948)------------------------------
% 0.19/0.49  % (1948)------------------------------
% 0.19/0.51  % (1953)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (1953)Instruction limit reached!
% 0.19/0.51  % (1953)------------------------------
% 0.19/0.51  % (1953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (1953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (1953)Termination reason: Unknown
% 0.19/0.51  % (1953)Termination phase: Preprocessing 3
% 0.19/0.51  
% 0.19/0.51  % (1953)Memory used [KB]: 1663
% 0.19/0.51  % (1953)Time elapsed: 0.003 s
% 0.19/0.51  % (1953)Instructions burned: 4 (million)
% 0.19/0.51  % (1953)------------------------------
% 0.19/0.51  % (1953)------------------------------
% 0.19/0.51  % (1962)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51  % (1942)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (1943)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (1939)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52  % (1966)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (1944)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52  % (1940)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (1941)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (1952)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (1941)Instruction limit reached!
% 0.19/0.52  % (1941)------------------------------
% 0.19/0.52  % (1941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (1941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (1941)Termination reason: Unknown
% 0.19/0.52  % (1941)Termination phase: Naming
% 0.19/0.52  
% 0.19/0.52  % (1941)Memory used [KB]: 1535
% 0.19/0.52  % (1941)Time elapsed: 0.003 s
% 0.19/0.52  % (1941)Instructions burned: 3 (million)
% 0.19/0.52  % (1941)------------------------------
% 0.19/0.52  % (1941)------------------------------
% 0.19/0.52  % (1964)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (1965)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.52  % (1968)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53  % (1950)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (1957)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (1957)Instruction limit reached!
% 0.19/0.53  % (1957)------------------------------
% 0.19/0.53  % (1957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (1957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (1957)Termination reason: Unknown
% 0.19/0.53  % (1957)Termination phase: SInE selection
% 0.19/0.53  
% 0.19/0.53  % (1957)Memory used [KB]: 1407
% 0.19/0.53  % (1957)Time elapsed: 0.002 s
% 0.19/0.53  % (1957)Instructions burned: 2 (million)
% 0.19/0.53  % (1957)------------------------------
% 0.19/0.53  % (1957)------------------------------
% 0.19/0.53  % (1960)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.53  % (1954)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (1969)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53  % (1947)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53  % (1967)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53  % (1949)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.54  % (1951)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.54  % (1955)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.53/0.54  % (1946)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.53/0.54  % (1961)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.53/0.54  % (1945)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.53/0.54  % (1963)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.53/0.54  % (1943)Instruction limit reached!
% 1.53/0.54  % (1943)------------------------------
% 1.53/0.54  % (1943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54  % (1943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54  % (1943)Termination reason: Unknown
% 1.53/0.54  % (1943)Termination phase: Saturation
% 1.53/0.54  
% 1.53/0.54  % (1943)Memory used [KB]: 6268
% 1.53/0.54  % (1943)Time elapsed: 0.152 s
% 1.53/0.54  % (1943)Instructions burned: 13 (million)
% 1.53/0.54  % (1943)------------------------------
% 1.53/0.54  % (1943)------------------------------
% 1.53/0.54  % (1958)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.53/0.54  % (1968)Instruction limit reached!
% 1.53/0.54  % (1968)------------------------------
% 1.53/0.54  % (1968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54  % (1968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54  % (1968)Termination reason: Unknown
% 1.53/0.54  % (1968)Termination phase: Property scanning
% 1.53/0.54  
% 1.53/0.54  % (1968)Memory used [KB]: 1791
% 1.53/0.54  % (1968)Time elapsed: 0.005 s
% 1.53/0.54  % (1968)Instructions burned: 8 (million)
% 1.53/0.54  % (1968)------------------------------
% 1.53/0.54  % (1968)------------------------------
% 1.53/0.55  % (1944)Instruction limit reached!
% 1.53/0.55  % (1944)------------------------------
% 1.53/0.55  % (1944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55  % (1944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55  % (1944)Termination reason: Unknown
% 1.53/0.55  % (1944)Termination phase: Saturation
% 1.53/0.55  
% 1.53/0.55  % (1944)Memory used [KB]: 1791
% 1.53/0.55  % (1944)Time elapsed: 0.155 s
% 1.53/0.55  % (1944)Instructions burned: 15 (million)
% 1.53/0.55  % (1944)------------------------------
% 1.53/0.55  % (1944)------------------------------
% 1.53/0.55  % (1958)Instruction limit reached!
% 1.53/0.55  % (1958)------------------------------
% 1.53/0.55  % (1958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55  % (1958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55  % (1958)Termination reason: Unknown
% 1.53/0.55  % (1958)Termination phase: Saturation
% 1.53/0.55  
% 1.53/0.55  % (1958)Memory used [KB]: 6396
% 1.53/0.55  % (1958)Time elapsed: 0.155 s
% 1.53/0.55  % (1958)Instructions burned: 13 (million)
% 1.53/0.55  % (1958)------------------------------
% 1.53/0.55  % (1958)------------------------------
% 1.53/0.55  % (1940)Instruction limit reached!
% 1.53/0.55  % (1940)------------------------------
% 1.53/0.55  % (1940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55  % (1940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55  % (1940)Termination reason: Unknown
% 1.53/0.55  % (1940)Termination phase: Saturation
% 1.53/0.55  
% 1.53/0.55  % (1940)Memory used [KB]: 6524
% 1.53/0.55  % (1940)Time elapsed: 0.149 s
% 1.53/0.55  % (1940)Instructions burned: 14 (million)
% 1.53/0.55  % (1940)------------------------------
% 1.53/0.55  % (1940)------------------------------
% 1.53/0.55  % (1954)Instruction limit reached!
% 1.53/0.55  % (1954)------------------------------
% 1.53/0.55  % (1954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55  % (1954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55  % (1954)Termination reason: Unknown
% 1.53/0.55  % (1954)Termination phase: Function definition elimination
% 1.53/0.55  
% 1.53/0.55  % (1954)Memory used [KB]: 1791
% 1.53/0.55  % (1954)Time elapsed: 0.005 s
% 1.53/0.55  % (1954)Instructions burned: 8 (million)
% 1.53/0.55  % (1954)------------------------------
% 1.53/0.55  % (1954)------------------------------
% 1.53/0.55  % (1950)Instruction limit reached!
% 1.53/0.55  % (1950)------------------------------
% 1.53/0.55  % (1950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55  % (1950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55  % (1950)Termination reason: Unknown
% 1.53/0.55  % (1950)Termination phase: Saturation
% 1.53/0.55  
% 1.53/0.55  % (1950)Memory used [KB]: 6140
% 1.53/0.55  % (1950)Time elapsed: 0.164 s
% 1.53/0.55  % (1950)Instructions burned: 8 (million)
% 1.53/0.55  % (1950)------------------------------
% 1.53/0.55  % (1950)------------------------------
% 1.53/0.55  % (1951)Instruction limit reached!
% 1.53/0.55  % (1951)------------------------------
% 1.53/0.55  % (1951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55  % (1951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55  % (1951)Termination reason: Unknown
% 1.53/0.55  % (1951)Termination phase: Saturation
% 1.53/0.55  
% 1.53/0.55  % (1951)Memory used [KB]: 2046
% 1.53/0.55  % (1951)Time elapsed: 0.167 s
% 1.53/0.55  % (1951)Instructions burned: 17 (million)
% 1.53/0.55  % (1951)------------------------------
% 1.53/0.55  % (1951)------------------------------
% 1.71/0.56  % (1949)Instruction limit reached!
% 1.71/0.56  % (1949)------------------------------
% 1.71/0.56  % (1949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.56  % (1949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.56  % (1949)Termination reason: Unknown
% 1.71/0.56  % (1949)Termination phase: Saturation
% 1.71/0.56  
% 1.71/0.56  % (1949)Memory used [KB]: 6268
% 1.71/0.56  % (1949)Time elapsed: 0.169 s
% 1.71/0.56  % (1949)Instructions burned: 14 (million)
% 1.71/0.56  % (1949)------------------------------
% 1.71/0.56  % (1949)------------------------------
% 1.71/0.57  % (1945)First to succeed.
% 1.71/0.57  % (1945)Refutation found. Thanks to Tanya!
% 1.71/0.57  % SZS status Theorem for theBenchmark
% 1.71/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.57  % (1945)------------------------------
% 1.71/0.57  % (1945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.57  % (1945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.57  % (1945)Termination reason: Refutation
% 1.71/0.57  
% 1.71/0.57  % (1945)Memory used [KB]: 6268
% 1.71/0.57  % (1945)Time elapsed: 0.133 s
% 1.71/0.57  % (1945)Instructions burned: 15 (million)
% 1.71/0.57  % (1945)------------------------------
% 1.71/0.57  % (1945)------------------------------
% 1.71/0.57  % (1938)Success in time 0.225 s
%------------------------------------------------------------------------------