TSTP Solution File: SWC009+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC009+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 : n021.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 18:38:11 EDT 2022

% Result   : Theorem 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   50 (  15 unt;   0 def)
%            Number of atoms       :  415 ( 155 equ)
%            Maximal formula atoms :   46 (   8 avg)
%            Number of connectives :  591 ( 226   ~; 196   |; 148   &)
%                                         (   5 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :  168 ( 114   !;  54   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f736,plain,
    $false,
    inference(avatar_sat_refutation,[],[f607,f634,f638,f640,f729,f735]) ).

fof(f735,plain,
    spl52_24,
    inference(avatar_contradiction_clause,[],[f732]) ).

fof(f732,plain,
    ( $false
    | spl52_24 ),
    inference(resolution,[],[f731,f543]) ).

fof(f543,plain,
    ssList(sK7),
    inference(definition_unfolding,[],[f387,f389]) ).

fof(f389,plain,
    sK9 = sK7,
    inference(cnf_transformation,[],[f246]) ).

fof(f246,plain,
    ( ssList(sK7)
    & ssList(sK8)
    & sK6 = sK8
    & ( nil != sK8
      | nil = sK9 )
    & strictorderedP(sK8)
    & ssList(sK10)
    & ! [X5] :
        ( ! [X6] :
            ( ! [X7] :
                ( ~ ssItem(X7)
                | ! [X8] :
                    ( ~ lt(X7,X5)
                    | app(X8,cons(X7,nil)) != sK8
                    | ~ ssList(X8) ) )
            | ~ ssList(X6)
            | sK10 != app(cons(X5,nil),X6) )
        | ~ ssItem(X5) )
    & sK9 = app(sK8,sK10)
    & sK9 = sK7
    & ! [X9] :
        ( ! [X10] :
            ( ! [X11] :
                ( ~ ssList(X11)
                | app(app(X9,X10),X11) != sK7
                | app(X9,X11) != sK6 )
            | ~ ssList(X10) )
        | ~ ssList(X9) )
    & ssList(sK9)
    & ssList(sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10])],[f240,f245,f244,f243,f242,f241]) ).

fof(f241,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( X0 = X2
                    & ( nil != X2
                      | nil = X3 )
                    & ? [X4] :
                        ( strictorderedP(X2)
                        & ssList(X4)
                        & ! [X5] :
                            ( ! [X6] :
                                ( ! [X7] :
                                    ( ~ ssItem(X7)
                                    | ! [X8] :
                                        ( ~ lt(X7,X5)
                                        | app(X8,cons(X7,nil)) != X2
                                        | ~ ssList(X8) ) )
                                | ~ ssList(X6)
                                | app(cons(X5,nil),X6) != X4 )
                            | ~ ssItem(X5) )
                        & app(X2,X4) = X3 )
                    & X1 = X3
                    & ! [X9] :
                        ( ! [X10] :
                            ( ! [X11] :
                                ( ~ ssList(X11)
                                | app(app(X9,X10),X11) != X1
                                | app(X9,X11) != X0 )
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    & ssList(X3) ) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( sK6 = X2
                  & ( nil != X2
                    | nil = X3 )
                  & ? [X4] :
                      ( strictorderedP(X2)
                      & ssList(X4)
                      & ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ~ ssItem(X7)
                                  | ! [X8] :
                                      ( ~ lt(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2
                                      | ~ ssList(X8) ) )
                              | ~ ssList(X6)
                              | app(cons(X5,nil),X6) != X4 )
                          | ~ ssItem(X5) )
                      & app(X2,X4) = X3 )
                  & X1 = X3
                  & ! [X9] :
                      ( ! [X10] :
                          ( ! [X11] :
                              ( ~ ssList(X11)
                              | app(app(X9,X10),X11) != X1
                              | app(X9,X11) != sK6 )
                          | ~ ssList(X10) )
                      | ~ ssList(X9) )
                  & ssList(X3) ) ) )
      & ssList(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f242,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( sK6 = X2
                & ( nil != X2
                  | nil = X3 )
                & ? [X4] :
                    ( strictorderedP(X2)
                    & ssList(X4)
                    & ! [X5] :
                        ( ! [X6] :
                            ( ! [X7] :
                                ( ~ ssItem(X7)
                                | ! [X8] :
                                    ( ~ lt(X7,X5)
                                    | app(X8,cons(X7,nil)) != X2
                                    | ~ ssList(X8) ) )
                            | ~ ssList(X6)
                            | app(cons(X5,nil),X6) != X4 )
                        | ~ ssItem(X5) )
                    & app(X2,X4) = X3 )
                & X1 = X3
                & ! [X9] :
                    ( ! [X10] :
                        ( ! [X11] :
                            ( ~ ssList(X11)
                            | app(app(X9,X10),X11) != X1
                            | app(X9,X11) != sK6 )
                        | ~ ssList(X10) )
                    | ~ ssList(X9) )
                & ssList(X3) ) ) )
   => ( ssList(sK7)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( sK6 = X2
              & ( nil != X2
                | nil = X3 )
              & ? [X4] :
                  ( strictorderedP(X2)
                  & ssList(X4)
                  & ! [X5] :
                      ( ! [X6] :
                          ( ! [X7] :
                              ( ~ ssItem(X7)
                              | ! [X8] :
                                  ( ~ lt(X7,X5)
                                  | app(X8,cons(X7,nil)) != X2
                                  | ~ ssList(X8) ) )
                          | ~ ssList(X6)
                          | app(cons(X5,nil),X6) != X4 )
                      | ~ ssItem(X5) )
                  & app(X2,X4) = X3 )
              & sK7 = X3
              & ! [X9] :
                  ( ! [X10] :
                      ( ! [X11] :
                          ( ~ ssList(X11)
                          | app(app(X9,X10),X11) != sK7
                          | app(X9,X11) != sK6 )
                      | ~ ssList(X10) )
                  | ~ ssList(X9) )
              & ssList(X3) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f243,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( sK6 = X2
            & ( nil != X2
              | nil = X3 )
            & ? [X4] :
                ( strictorderedP(X2)
                & ssList(X4)
                & ! [X5] :
                    ( ! [X6] :
                        ( ! [X7] :
                            ( ~ ssItem(X7)
                            | ! [X8] :
                                ( ~ lt(X7,X5)
                                | app(X8,cons(X7,nil)) != X2
                                | ~ ssList(X8) ) )
                        | ~ ssList(X6)
                        | app(cons(X5,nil),X6) != X4 )
                    | ~ ssItem(X5) )
                & app(X2,X4) = X3 )
            & sK7 = X3
            & ! [X9] :
                ( ! [X10] :
                    ( ! [X11] :
                        ( ~ ssList(X11)
                        | app(app(X9,X10),X11) != sK7
                        | app(X9,X11) != sK6 )
                    | ~ ssList(X10) )
                | ~ ssList(X9) )
            & ssList(X3) ) )
   => ( ssList(sK8)
      & ? [X3] :
          ( sK6 = sK8
          & ( nil != sK8
            | nil = X3 )
          & ? [X4] :
              ( strictorderedP(sK8)
              & ssList(X4)
              & ! [X5] :
                  ( ! [X6] :
                      ( ! [X7] :
                          ( ~ ssItem(X7)
                          | ! [X8] :
                              ( ~ lt(X7,X5)
                              | app(X8,cons(X7,nil)) != sK8
                              | ~ ssList(X8) ) )
                      | ~ ssList(X6)
                      | app(cons(X5,nil),X6) != X4 )
                  | ~ ssItem(X5) )
              & app(sK8,X4) = X3 )
          & sK7 = X3
          & ! [X9] :
              ( ! [X10] :
                  ( ! [X11] :
                      ( ~ ssList(X11)
                      | app(app(X9,X10),X11) != sK7
                      | app(X9,X11) != sK6 )
                  | ~ ssList(X10) )
              | ~ ssList(X9) )
          & ssList(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f244,plain,
    ( ? [X3] :
        ( sK6 = sK8
        & ( nil != sK8
          | nil = X3 )
        & ? [X4] :
            ( strictorderedP(sK8)
            & ssList(X4)
            & ! [X5] :
                ( ! [X6] :
                    ( ! [X7] :
                        ( ~ ssItem(X7)
                        | ! [X8] :
                            ( ~ lt(X7,X5)
                            | app(X8,cons(X7,nil)) != sK8
                            | ~ ssList(X8) ) )
                    | ~ ssList(X6)
                    | app(cons(X5,nil),X6) != X4 )
                | ~ ssItem(X5) )
            & app(sK8,X4) = X3 )
        & sK7 = X3
        & ! [X9] :
            ( ! [X10] :
                ( ! [X11] :
                    ( ~ ssList(X11)
                    | app(app(X9,X10),X11) != sK7
                    | app(X9,X11) != sK6 )
                | ~ ssList(X10) )
            | ~ ssList(X9) )
        & ssList(X3) )
   => ( sK6 = sK8
      & ( nil != sK8
        | nil = sK9 )
      & ? [X4] :
          ( strictorderedP(sK8)
          & ssList(X4)
          & ! [X5] :
              ( ! [X6] :
                  ( ! [X7] :
                      ( ~ ssItem(X7)
                      | ! [X8] :
                          ( ~ lt(X7,X5)
                          | app(X8,cons(X7,nil)) != sK8
                          | ~ ssList(X8) ) )
                  | ~ ssList(X6)
                  | app(cons(X5,nil),X6) != X4 )
              | ~ ssItem(X5) )
          & app(sK8,X4) = sK9 )
      & sK9 = sK7
      & ! [X9] :
          ( ! [X10] :
              ( ! [X11] :
                  ( ~ ssList(X11)
                  | app(app(X9,X10),X11) != sK7
                  | app(X9,X11) != sK6 )
              | ~ ssList(X10) )
          | ~ ssList(X9) )
      & ssList(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f245,plain,
    ( ? [X4] :
        ( strictorderedP(sK8)
        & ssList(X4)
        & ! [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( ~ ssItem(X7)
                    | ! [X8] :
                        ( ~ lt(X7,X5)
                        | app(X8,cons(X7,nil)) != sK8
                        | ~ ssList(X8) ) )
                | ~ ssList(X6)
                | app(cons(X5,nil),X6) != X4 )
            | ~ ssItem(X5) )
        & app(sK8,X4) = sK9 )
   => ( strictorderedP(sK8)
      & ssList(sK10)
      & ! [X5] :
          ( ! [X6] :
              ( ! [X7] :
                  ( ~ ssItem(X7)
                  | ! [X8] :
                      ( ~ lt(X7,X5)
                      | app(X8,cons(X7,nil)) != sK8
                      | ~ ssList(X8) ) )
              | ~ ssList(X6)
              | sK10 != app(cons(X5,nil),X6) )
          | ~ ssItem(X5) )
      & sK9 = app(sK8,sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f240,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X0 = X2
                  & ( nil != X2
                    | nil = X3 )
                  & ? [X4] :
                      ( strictorderedP(X2)
                      & ssList(X4)
                      & ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ~ ssItem(X7)
                                  | ! [X8] :
                                      ( ~ lt(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2
                                      | ~ ssList(X8) ) )
                              | ~ ssList(X6)
                              | app(cons(X5,nil),X6) != X4 )
                          | ~ ssItem(X5) )
                      & app(X2,X4) = X3 )
                  & X1 = X3
                  & ! [X9] :
                      ( ! [X10] :
                          ( ! [X11] :
                              ( ~ ssList(X11)
                              | app(app(X9,X10),X11) != X1
                              | app(X9,X11) != X0 )
                          | ~ ssList(X10) )
                      | ~ ssList(X9) )
                  & ssList(X3) ) ) )
      & ssList(X0) ),
    inference(rectify,[],[f115]) ).

fof(f115,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X0 = X2
                  & ( nil != X2
                    | nil = X3 )
                  & ? [X7] :
                      ( strictorderedP(X2)
                      & ssList(X7)
                      & ! [X8] :
                          ( ! [X9] :
                              ( ! [X10] :
                                  ( ~ ssItem(X10)
                                  | ! [X11] :
                                      ( ~ lt(X10,X8)
                                      | app(X11,cons(X10,nil)) != X2
                                      | ~ ssList(X11) ) )
                              | ~ ssList(X9)
                              | app(cons(X8,nil),X9) != X7 )
                          | ~ ssItem(X8) )
                      & app(X2,X7) = X3 )
                  & X1 = X3
                  & ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ~ ssList(X6)
                              | app(app(X4,X5),X6) != X1
                              | app(X4,X6) != X0 )
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  & ssList(X3) ) ) )
      & ssList(X0) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X7] :
                      ( strictorderedP(X2)
                      & app(X2,X7) = X3
                      & ! [X8] :
                          ( ! [X9] :
                              ( ! [X10] :
                                  ( ~ ssItem(X10)
                                  | ! [X11] :
                                      ( ~ lt(X10,X8)
                                      | app(X11,cons(X10,nil)) != X2
                                      | ~ ssList(X11) ) )
                              | ~ ssList(X9)
                              | app(cons(X8,nil),X9) != X7 )
                          | ~ ssItem(X8) )
                      & ssList(X7) )
                  & ( nil != X2
                    | nil = X3 )
                  & X1 = X3
                  & ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ~ ssList(X6)
                              | app(app(X4,X5),X6) != X1
                              | app(X4,X6) != X0 )
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  & X0 = X2
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

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

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

fof(f387,plain,
    ssList(sK9),
    inference(cnf_transformation,[],[f246]) ).

fof(f731,plain,
    ( ~ ssList(sK7)
    | spl52_24 ),
    inference(trivial_inequality_removal,[],[f730]) ).

fof(f730,plain,
    ( sK7 != sK7
    | ~ ssList(sK7)
    | spl52_24 ),
    inference(superposition,[],[f728,f503]) ).

fof(f503,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).

fof(f728,plain,
    ( app(sK7,nil) != sK7
    | spl52_24 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl52_24
  <=> app(sK7,nil) = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_24])]) ).

fof(f729,plain,
    ( ~ spl52_24
    | ~ spl52_10
    | ~ spl52_4
    | ~ spl52_11 ),
    inference(avatar_split_clause,[],[f702,f628,f592,f624,f726]) ).

fof(f624,plain,
    ( spl52_10
  <=> ssList(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_10])]) ).

fof(f592,plain,
    ( spl52_4
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_4])]) ).

fof(f628,plain,
    ( spl52_11
  <=> ! [X0] :
        ( sK7 != app(sK7,X0)
        | ~ ssList(X0)
        | sK8 != app(sK8,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_11])]) ).

fof(f702,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK8)
    | app(sK7,nil) != sK7
    | ~ spl52_11 ),
    inference(trivial_inequality_removal,[],[f701]) ).

fof(f701,plain,
    ( sK8 != sK8
    | ~ ssList(sK8)
    | ~ ssList(nil)
    | app(sK7,nil) != sK7
    | ~ spl52_11 ),
    inference(superposition,[],[f629,f503]) ).

fof(f629,plain,
    ( ! [X0] :
        ( sK8 != app(sK8,X0)
        | sK7 != app(sK7,X0)
        | ~ ssList(X0) )
    | ~ spl52_11 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f640,plain,
    spl52_12,
    inference(avatar_contradiction_clause,[],[f639]) ).

fof(f639,plain,
    ( $false
    | spl52_12 ),
    inference(resolution,[],[f633,f392]) ).

fof(f392,plain,
    ssList(sK10),
    inference(cnf_transformation,[],[f246]) ).

fof(f633,plain,
    ( ~ ssList(sK10)
    | spl52_12 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f631,plain,
    ( spl52_12
  <=> ssList(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_12])]) ).

fof(f638,plain,
    spl52_10,
    inference(avatar_contradiction_clause,[],[f636]) ).

fof(f636,plain,
    ( $false
    | spl52_10 ),
    inference(resolution,[],[f626,f396]) ).

fof(f396,plain,
    ssList(sK8),
    inference(cnf_transformation,[],[f246]) ).

fof(f626,plain,
    ( ~ ssList(sK8)
    | spl52_10 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f634,plain,
    ( ~ spl52_10
    | spl52_11
    | ~ spl52_12 ),
    inference(avatar_split_clause,[],[f622,f631,f628,f624]) ).

fof(f622,plain,
    ! [X0] :
      ( ~ ssList(sK10)
      | sK7 != app(sK7,X0)
      | sK8 != app(sK8,X0)
      | ~ ssList(sK8)
      | ~ ssList(X0) ),
    inference(superposition,[],[f542,f541]) ).

fof(f541,plain,
    app(sK8,sK10) = sK7,
    inference(definition_unfolding,[],[f390,f389]) ).

fof(f390,plain,
    sK9 = app(sK8,sK10),
    inference(cnf_transformation,[],[f246]) ).

fof(f542,plain,
    ! [X10,X11,X9] :
      ( app(app(X9,X10),X11) != sK7
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X11)
      | app(X9,X11) != sK8 ),
    inference(definition_unfolding,[],[f388,f395]) ).

fof(f395,plain,
    sK6 = sK8,
    inference(cnf_transformation,[],[f246]) ).

fof(f388,plain,
    ! [X10,X11,X9] :
      ( ~ ssList(X11)
      | app(app(X9,X10),X11) != sK7
      | app(X9,X11) != sK6
      | ~ ssList(X10)
      | ~ ssList(X9) ),
    inference(cnf_transformation,[],[f246]) ).

fof(f607,plain,
    spl52_4,
    inference(avatar_split_clause,[],[f345,f592]) ).

fof(f345,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC009+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 17:50:41 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.52  % (23415)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)
% 0.21/0.52  % (23432)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)
% 0.21/0.52  % (23424)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)
% 0.21/0.52  % (23420)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)
% 0.21/0.53  % (23417)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)
% 0.21/0.53  % (23424)Instruction limit reached!
% 0.21/0.53  % (23424)------------------------------
% 0.21/0.53  % (23424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (23424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (23424)Termination reason: Unknown
% 0.21/0.53  % (23424)Termination phase: Preprocessing 3
% 0.21/0.53  
% 0.21/0.53  % (23424)Memory used [KB]: 1663
% 0.21/0.53  % (23424)Time elapsed: 0.005 s
% 0.21/0.53  % (23424)Instructions burned: 4 (million)
% 0.21/0.53  % (23424)------------------------------
% 0.21/0.53  % (23424)------------------------------
% 0.21/0.53  % (23438)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)
% 0.21/0.53  % (23429)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)
% 0.21/0.53  % (23413)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)
% 0.21/0.53  % (23414)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)
% 0.21/0.53  % (23412)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)
% 0.21/0.53  % (23438)Instruction limit reached!
% 0.21/0.53  % (23438)------------------------------
% 0.21/0.53  % (23438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (23421)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)
% 0.21/0.54  % (23422)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)
% 0.21/0.54  % (23436)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)
% 0.21/0.54  % (23421)Instruction limit reached!
% 0.21/0.54  % (23421)------------------------------
% 0.21/0.54  % (23421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (23429)Instruction limit reached!
% 0.21/0.54  % (23429)------------------------------
% 0.21/0.54  % (23429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (23425)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)
% 0.21/0.54  % (23415)Instruction limit reached!
% 0.21/0.54  % (23415)------------------------------
% 0.21/0.54  % (23415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (23438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (23438)Termination reason: Unknown
% 0.21/0.54  % (23438)Termination phase: Property scanning
% 0.21/0.54  
% 0.21/0.54  % (23438)Memory used [KB]: 1791
% 0.21/0.54  % (23438)Time elapsed: 0.005 s
% 0.21/0.54  % (23438)Instructions burned: 8 (million)
% 0.21/0.54  % (23438)------------------------------
% 0.21/0.54  % (23438)------------------------------
% 0.21/0.54  % (23432)First to succeed.
% 0.21/0.54  % (23420)Instruction limit reached!
% 0.21/0.54  % (23420)------------------------------
% 0.21/0.54  % (23420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (23420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (23420)Termination reason: Unknown
% 0.21/0.54  % (23420)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (23420)Memory used [KB]: 6268
% 0.21/0.54  % (23420)Time elapsed: 0.131 s
% 0.21/0.54  % (23420)Instructions burned: 13 (million)
% 0.21/0.54  % (23420)------------------------------
% 0.21/0.54  % (23420)------------------------------
% 0.21/0.54  % (23435)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)
% 0.21/0.54  % (23411)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)
% 0.21/0.54  % (23412)Instruction limit reached!
% 0.21/0.54  % (23412)------------------------------
% 0.21/0.54  % (23412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (23412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (23412)Termination reason: Unknown
% 0.21/0.54  % (23412)Termination phase: Naming
% 0.21/0.54  
% 0.21/0.54  % (23412)Memory used [KB]: 1535
% 0.21/0.54  % (23412)Time elapsed: 0.003 s
% 0.21/0.54  % (23412)Instructions burned: 3 (million)
% 0.21/0.54  % (23412)------------------------------
% 0.21/0.54  % (23412)------------------------------
% 0.21/0.54  % (23418)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)
% 0.21/0.55  % (23433)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)
% 0.21/0.55  % (23415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (23415)Termination reason: Unknown
% 0.21/0.55  % (23415)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (23415)Memory used [KB]: 1791
% 0.21/0.55  % (23415)Time elapsed: 0.128 s
% 0.21/0.55  % (23415)Instructions burned: 15 (million)
% 0.21/0.55  % (23415)------------------------------
% 0.21/0.55  % (23415)------------------------------
% 0.21/0.55  % (23432)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Theorem for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (23432)------------------------------
% 0.21/0.55  % (23432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (23432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (23432)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (23432)Memory used [KB]: 6524
% 0.21/0.55  % (23432)Time elapsed: 0.091 s
% 0.21/0.55  % (23432)Instructions burned: 15 (million)
% 0.21/0.55  % (23432)------------------------------
% 0.21/0.55  % (23432)------------------------------
% 0.21/0.55  % (23409)Success in time 0.197 s
%------------------------------------------------------------------------------