TSTP Solution File: SWC171+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC171+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 : n004.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 18:39:19 EDT 2022

% Result   : Theorem 2.68s 0.77s
% Output   : Refutation 2.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  265 (  23 unt;   0 def)
%            Number of atoms       : 1268 ( 301 equ)
%            Maximal formula atoms :   42 (   4 avg)
%            Number of connectives : 1696 ( 693   ~; 690   |; 230   &)
%                                         (  26 <=>;  57  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   27 (  25 usr;  19 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  16 con; 0-2 aty)
%            Number of variables   :  289 ( 186   !; 103   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3597,plain,
    $false,
    inference(avatar_sat_refutation,[],[f669,f679,f680,f689,f780,f789,f801,f802,f869,f1214,f1225,f1262,f1270,f2938,f2980,f3418,f3420,f3422,f3596]) ).

fof(f3596,plain,
    ( ~ spl68_1
    | ~ spl68_4
    | ~ spl68_5
    | ~ spl68_14
    | ~ spl68_18
    | ~ spl68_29
    | ~ spl68_57
    | ~ spl68_69 ),
    inference(avatar_contradiction_clause,[],[f3595]) ).

fof(f3595,plain,
    ( $false
    | ~ spl68_1
    | ~ spl68_4
    | ~ spl68_5
    | ~ spl68_14
    | ~ spl68_18
    | ~ spl68_29
    | ~ spl68_57
    | ~ spl68_69 ),
    inference(subsumption_resolution,[],[f3594,f774]) ).

fof(f774,plain,
    ( ssList(sF63)
    | ~ spl68_14 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f773,plain,
    ( spl68_14
  <=> ssList(sF63) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_14])]) ).

fof(f3594,plain,
    ( ~ ssList(sF63)
    | ~ spl68_1
    | ~ spl68_4
    | ~ spl68_5
    | ~ spl68_14
    | ~ spl68_18
    | ~ spl68_29
    | ~ spl68_57
    | ~ spl68_69 ),
    inference(subsumption_resolution,[],[f3593,f1224]) ).

fof(f1224,plain,
    ( singletonP(sK27)
    | ~ spl68_29 ),
    inference(avatar_component_clause,[],[f1222]) ).

fof(f1222,plain,
    ( spl68_29
  <=> singletonP(sK27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_29])]) ).

fof(f3593,plain,
    ( ~ singletonP(sK27)
    | ~ ssList(sF63)
    | ~ spl68_1
    | ~ spl68_4
    | ~ spl68_5
    | ~ spl68_14
    | ~ spl68_18
    | ~ spl68_57
    | ~ spl68_69 ),
    inference(subsumption_resolution,[],[f3592,f641]) ).

fof(f641,plain,
    ( ssItem(sK31)
    | ~ spl68_4 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f639,plain,
    ( spl68_4
  <=> ssItem(sK31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_4])]) ).

fof(f3592,plain,
    ( ~ ssItem(sK31)
    | ~ ssList(sF63)
    | ~ singletonP(sK27)
    | ~ spl68_1
    | ~ spl68_4
    | ~ spl68_5
    | ~ spl68_14
    | ~ spl68_18
    | ~ spl68_57
    | ~ spl68_69 ),
    inference(subsumption_resolution,[],[f3577,f812]) ).

fof(f812,plain,
    ( nil != sF63
    | ~ spl68_1 ),
    inference(subsumption_resolution,[],[f811,f440]) ).

fof(f440,plain,
    ssItem(sK32),
    inference(cnf_transformation,[],[f293]) ).

fof(f293,plain,
    ( ssList(sK27)
    & ssList(sK28)
    & ssList(sK29)
    & ( ( nil = sK30
        & nil = sK29 )
      | ( ! [X5] :
            ( sK31 = X5
            | ~ memberP(sK30,X5)
            | ~ ssItem(X5)
            | ~ leq(sK31,X5) )
        & memberP(sK30,sK31)
        & sK29 = cons(sK31,nil)
        & ssItem(sK31) ) )
    & sK29 = sK27
    & ssItem(sK32)
    & ~ neq(sK32,sK33)
    & ssItem(sK33)
    & ssList(sK35)
    & app(app(app(sK34,cons(sK32,nil)),cons(sK33,nil)),sK35) = sK27
    & ssList(sK34)
    & sK30 = sK28
    & ssList(sK30) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35])],[f283,f292,f291,f290,f289,f288,f287,f286,f285,f284]) ).

fof(f284,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ( ( nil = X3
                        & nil = X2 )
                      | ? [X4] :
                          ( ! [X5] :
                              ( X4 = X5
                              | ~ memberP(X3,X5)
                              | ~ ssItem(X5)
                              | ~ leq(X4,X5) )
                          & memberP(X3,X4)
                          & cons(X4,nil) = X2
                          & ssItem(X4) ) )
                    & X0 = X2
                    & ? [X6] :
                        ( ssItem(X6)
                        & ? [X7] :
                            ( ~ neq(X6,X7)
                            & ssItem(X7)
                            & ? [X8] :
                                ( ? [X9] :
                                    ( ssList(X9)
                                    & app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = X0 )
                                & ssList(X8) ) ) )
                    & X1 = X3
                    & ssList(X3) ) ) ) )
   => ( ssList(sK27)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ( ( nil = X3
                      & nil = X2 )
                    | ? [X4] :
                        ( ! [X5] :
                            ( X4 = X5
                            | ~ memberP(X3,X5)
                            | ~ ssItem(X5)
                            | ~ leq(X4,X5) )
                        & memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & sK27 = X2
                  & ? [X6] :
                      ( ssItem(X6)
                      & ? [X7] :
                          ( ~ neq(X6,X7)
                          & ssItem(X7)
                          & ? [X8] :
                              ( ? [X9] :
                                  ( ssList(X9)
                                  & app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK27 )
                              & ssList(X8) ) ) )
                  & X1 = X3
                  & ssList(X3) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f285,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ( ( nil = X3
                    & nil = X2 )
                  | ? [X4] :
                      ( ! [X5] :
                          ( X4 = X5
                          | ~ memberP(X3,X5)
                          | ~ ssItem(X5)
                          | ~ leq(X4,X5) )
                      & memberP(X3,X4)
                      & cons(X4,nil) = X2
                      & ssItem(X4) ) )
                & sK27 = X2
                & ? [X6] :
                    ( ssItem(X6)
                    & ? [X7] :
                        ( ~ neq(X6,X7)
                        & ssItem(X7)
                        & ? [X8] :
                            ( ? [X9] :
                                ( ssList(X9)
                                & app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK27 )
                            & ssList(X8) ) ) )
                & X1 = X3
                & ssList(X3) ) ) )
   => ( ssList(sK28)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ( ( nil = X3
                  & nil = X2 )
                | ? [X4] :
                    ( ! [X5] :
                        ( X4 = X5
                        | ~ memberP(X3,X5)
                        | ~ ssItem(X5)
                        | ~ leq(X4,X5) )
                    & memberP(X3,X4)
                    & cons(X4,nil) = X2
                    & ssItem(X4) ) )
              & sK27 = X2
              & ? [X6] :
                  ( ssItem(X6)
                  & ? [X7] :
                      ( ~ neq(X6,X7)
                      & ssItem(X7)
                      & ? [X8] :
                          ( ? [X9] :
                              ( ssList(X9)
                              & app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK27 )
                          & ssList(X8) ) ) )
              & sK28 = X3
              & ssList(X3) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f286,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( ( ( nil = X3
                & nil = X2 )
              | ? [X4] :
                  ( ! [X5] :
                      ( X4 = X5
                      | ~ memberP(X3,X5)
                      | ~ ssItem(X5)
                      | ~ leq(X4,X5) )
                  & memberP(X3,X4)
                  & cons(X4,nil) = X2
                  & ssItem(X4) ) )
            & sK27 = X2
            & ? [X6] :
                ( ssItem(X6)
                & ? [X7] :
                    ( ~ neq(X6,X7)
                    & ssItem(X7)
                    & ? [X8] :
                        ( ? [X9] :
                            ( ssList(X9)
                            & app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK27 )
                        & ssList(X8) ) ) )
            & sK28 = X3
            & ssList(X3) ) )
   => ( ssList(sK29)
      & ? [X3] :
          ( ( ( nil = X3
              & nil = sK29 )
            | ? [X4] :
                ( ! [X5] :
                    ( X4 = X5
                    | ~ memberP(X3,X5)
                    | ~ ssItem(X5)
                    | ~ leq(X4,X5) )
                & memberP(X3,X4)
                & cons(X4,nil) = sK29
                & ssItem(X4) ) )
          & sK29 = sK27
          & ? [X6] :
              ( ssItem(X6)
              & ? [X7] :
                  ( ~ neq(X6,X7)
                  & ssItem(X7)
                  & ? [X8] :
                      ( ? [X9] :
                          ( ssList(X9)
                          & app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK27 )
                      & ssList(X8) ) ) )
          & sK28 = X3
          & ssList(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f287,plain,
    ( ? [X3] :
        ( ( ( nil = X3
            & nil = sK29 )
          | ? [X4] :
              ( ! [X5] :
                  ( X4 = X5
                  | ~ memberP(X3,X5)
                  | ~ ssItem(X5)
                  | ~ leq(X4,X5) )
              & memberP(X3,X4)
              & cons(X4,nil) = sK29
              & ssItem(X4) ) )
        & sK29 = sK27
        & ? [X6] :
            ( ssItem(X6)
            & ? [X7] :
                ( ~ neq(X6,X7)
                & ssItem(X7)
                & ? [X8] :
                    ( ? [X9] :
                        ( ssList(X9)
                        & app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK27 )
                    & ssList(X8) ) ) )
        & sK28 = X3
        & ssList(X3) )
   => ( ( ( nil = sK30
          & nil = sK29 )
        | ? [X4] :
            ( ! [X5] :
                ( X4 = X5
                | ~ memberP(sK30,X5)
                | ~ ssItem(X5)
                | ~ leq(X4,X5) )
            & memberP(sK30,X4)
            & cons(X4,nil) = sK29
            & ssItem(X4) ) )
      & sK29 = sK27
      & ? [X6] :
          ( ssItem(X6)
          & ? [X7] :
              ( ~ neq(X6,X7)
              & ssItem(X7)
              & ? [X8] :
                  ( ? [X9] :
                      ( ssList(X9)
                      & app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK27 )
                  & ssList(X8) ) ) )
      & sK30 = sK28
      & ssList(sK30) ) ),
    introduced(choice_axiom,[]) ).

fof(f288,plain,
    ( ? [X4] :
        ( ! [X5] :
            ( X4 = X5
            | ~ memberP(sK30,X5)
            | ~ ssItem(X5)
            | ~ leq(X4,X5) )
        & memberP(sK30,X4)
        & cons(X4,nil) = sK29
        & ssItem(X4) )
   => ( ! [X5] :
          ( sK31 = X5
          | ~ memberP(sK30,X5)
          | ~ ssItem(X5)
          | ~ leq(sK31,X5) )
      & memberP(sK30,sK31)
      & sK29 = cons(sK31,nil)
      & ssItem(sK31) ) ),
    introduced(choice_axiom,[]) ).

fof(f289,plain,
    ( ? [X6] :
        ( ssItem(X6)
        & ? [X7] :
            ( ~ neq(X6,X7)
            & ssItem(X7)
            & ? [X8] :
                ( ? [X9] :
                    ( ssList(X9)
                    & app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK27 )
                & ssList(X8) ) ) )
   => ( ssItem(sK32)
      & ? [X7] :
          ( ~ neq(sK32,X7)
          & ssItem(X7)
          & ? [X8] :
              ( ? [X9] :
                  ( ssList(X9)
                  & app(app(app(X8,cons(sK32,nil)),cons(X7,nil)),X9) = sK27 )
              & ssList(X8) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f290,plain,
    ( ? [X7] :
        ( ~ neq(sK32,X7)
        & ssItem(X7)
        & ? [X8] :
            ( ? [X9] :
                ( ssList(X9)
                & app(app(app(X8,cons(sK32,nil)),cons(X7,nil)),X9) = sK27 )
            & ssList(X8) ) )
   => ( ~ neq(sK32,sK33)
      & ssItem(sK33)
      & ? [X8] :
          ( ? [X9] :
              ( ssList(X9)
              & app(app(app(X8,cons(sK32,nil)),cons(sK33,nil)),X9) = sK27 )
          & ssList(X8) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f291,plain,
    ( ? [X8] :
        ( ? [X9] :
            ( ssList(X9)
            & app(app(app(X8,cons(sK32,nil)),cons(sK33,nil)),X9) = sK27 )
        & ssList(X8) )
   => ( ? [X9] :
          ( ssList(X9)
          & app(app(app(sK34,cons(sK32,nil)),cons(sK33,nil)),X9) = sK27 )
      & ssList(sK34) ) ),
    introduced(choice_axiom,[]) ).

fof(f292,plain,
    ( ? [X9] :
        ( ssList(X9)
        & app(app(app(sK34,cons(sK32,nil)),cons(sK33,nil)),X9) = sK27 )
   => ( ssList(sK35)
      & app(app(app(sK34,cons(sK32,nil)),cons(sK33,nil)),sK35) = sK27 ) ),
    introduced(choice_axiom,[]) ).

fof(f283,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ( ( nil = X3
                      & nil = X2 )
                    | ? [X4] :
                        ( ! [X5] :
                            ( X4 = X5
                            | ~ memberP(X3,X5)
                            | ~ ssItem(X5)
                            | ~ leq(X4,X5) )
                        & memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & X0 = X2
                  & ? [X6] :
                      ( ssItem(X6)
                      & ? [X7] :
                          ( ~ neq(X6,X7)
                          & ssItem(X7)
                          & ? [X8] :
                              ( ? [X9] :
                                  ( ssList(X9)
                                  & app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = X0 )
                              & ssList(X8) ) ) )
                  & X1 = X3
                  & ssList(X3) ) ) ) ),
    inference(rectify,[],[f149]) ).

fof(f149,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ( ( nil = X3
                      & nil = X2 )
                    | ? [X8] :
                        ( ! [X9] :
                            ( X8 = X9
                            | ~ memberP(X3,X9)
                            | ~ ssItem(X9)
                            | ~ leq(X8,X9) )
                        & memberP(X3,X8)
                        & cons(X8,nil) = X2
                        & ssItem(X8) ) )
                  & X0 = X2
                  & ? [X4] :
                      ( ssItem(X4)
                      & ? [X5] :
                          ( ~ neq(X4,X5)
                          & ssItem(X5)
                          & ? [X6] :
                              ( ? [X7] :
                                  ( ssList(X7)
                                  & app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0 )
                              & ssList(X6) ) ) )
                  & X1 = X3
                  & ssList(X3) ) ) ) ),
    inference(ennf_transformation,[],[f97]) ).

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

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

fof(f811,plain,
    ( ~ ssItem(sK32)
    | nil != sF63
    | ~ spl68_1 ),
    inference(subsumption_resolution,[],[f804,f627]) ).

fof(f627,plain,
    ( ssList(nil)
    | ~ spl68_1 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f626,plain,
    ( spl68_1
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_1])]) ).

fof(f804,plain,
    ( ~ ssList(nil)
    | nil != sF63
    | ~ ssItem(sK32) ),
    inference(superposition,[],[f385,f612]) ).

fof(f612,plain,
    cons(sK32,nil) = sF63,
    introduced(function_definition,[]) ).

fof(f385,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) != X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f3577,plain,
    ( nil = sF63
    | ~ singletonP(sK27)
    | ~ ssList(sF63)
    | ~ ssItem(sK31)
    | ~ spl68_1
    | ~ spl68_4
    | ~ spl68_5
    | ~ spl68_14
    | ~ spl68_18
    | ~ spl68_57
    | ~ spl68_69 ),
    inference(superposition,[],[f953,f3557]) ).

fof(f3557,plain,
    ( cons(sK31,sF63) = sK27
    | ~ spl68_4
    | ~ spl68_5
    | ~ spl68_14
    | ~ spl68_18
    | ~ spl68_57
    | ~ spl68_69 ),
    inference(subsumption_resolution,[],[f3544,f774]) ).

fof(f3544,plain,
    ( cons(sK31,sF63) = sK27
    | ~ ssList(sF63)
    | ~ spl68_4
    | ~ spl68_5
    | ~ spl68_18
    | ~ spl68_57
    | ~ spl68_69 ),
    inference(superposition,[],[f3465,f1446]) ).

fof(f1446,plain,
    ( ! [X4] :
        ( app(sK27,X4) = cons(sK31,X4)
        | ~ ssList(X4) )
    | ~ spl68_4
    | ~ spl68_5 ),
    inference(subsumption_resolution,[],[f1436,f641]) ).

fof(f1436,plain,
    ( ! [X4] :
        ( ~ ssItem(sK31)
        | ~ ssList(X4)
        | app(sK27,X4) = cons(sK31,X4) )
    | ~ spl68_5 ),
    inference(superposition,[],[f357,f690]) ).

fof(f690,plain,
    ( cons(sK31,nil) = sK27
    | ~ spl68_5 ),
    inference(forward_demodulation,[],[f609,f646]) ).

fof(f646,plain,
    ( sF62 = sK27
    | ~ spl68_5 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f644,plain,
    ( spl68_5
  <=> sF62 = sK27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_5])]) ).

fof(f609,plain,
    sF62 = cons(sK31,nil),
    introduced(function_definition,[]) ).

fof(f357,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) = app(cons(X1,nil),X0) )
      | ~ ssList(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/sandbox/benchmark/theBenchmark.p',ax81) ).

fof(f3465,plain,
    ( app(sK27,sF63) = sK27
    | ~ spl68_18
    | ~ spl68_57
    | ~ spl68_69 ),
    inference(backward_demodulation,[],[f3056,f2382]) ).

fof(f2382,plain,
    ( sF64 = sK27
    | ~ spl68_69 ),
    inference(avatar_component_clause,[],[f2380]) ).

fof(f2380,plain,
    ( spl68_69
  <=> sF64 = sK27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_69])]) ).

fof(f3056,plain,
    ( app(sF64,sF63) = sK27
    | ~ spl68_18
    | ~ spl68_57 ),
    inference(forward_demodulation,[],[f880,f1817]) ).

fof(f1817,plain,
    ( sF66 = sK27
    | ~ spl68_57 ),
    inference(avatar_component_clause,[],[f1815]) ).

fof(f1815,plain,
    ( spl68_57
  <=> sF66 = sK27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_57])]) ).

fof(f880,plain,
    ( sF66 = app(sF64,sF63)
    | ~ spl68_18 ),
    inference(backward_demodulation,[],[f615,f875]) ).

fof(f875,plain,
    ( sF63 = sF65
    | ~ spl68_18 ),
    inference(forward_demodulation,[],[f872,f612]) ).

fof(f872,plain,
    ( cons(sK32,nil) = sF65
    | ~ spl68_18 ),
    inference(backward_demodulation,[],[f614,f852]) ).

fof(f852,plain,
    ( sK33 = sK32
    | ~ spl68_18 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f850,plain,
    ( spl68_18
  <=> sK33 = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_18])]) ).

fof(f614,plain,
    cons(sK33,nil) = sF65,
    introduced(function_definition,[]) ).

fof(f615,plain,
    sF66 = app(sF64,sF65),
    introduced(function_definition,[]) ).

fof(f953,plain,
    ( ! [X2,X1] :
        ( ~ singletonP(cons(X1,X2))
        | nil = X2
        | ~ ssItem(X1)
        | ~ ssList(X2) )
    | ~ spl68_1 ),
    inference(subsumption_resolution,[],[f949,f568]) ).

fof(f568,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) ) ),
    inference(ennf_transformation,[],[f16]) ).

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

fof(f949,plain,
    ( ! [X2,X1] :
        ( ~ ssList(cons(X1,X2))
        | ~ singletonP(cons(X1,X2))
        | ~ ssList(X2)
        | nil = X2
        | ~ ssItem(X1) )
    | ~ spl68_1 ),
    inference(superposition,[],[f942,f515]) ).

fof(f515,plain,
    ! [X0,X1] :
      ( tl(cons(X1,X0)) = X0
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(cons(X1,X0)) = X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => tl(cons(X1,X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(f942,plain,
    ( ! [X0] :
        ( nil = tl(X0)
        | ~ ssList(X0)
        | ~ singletonP(X0) )
    | ~ spl68_1 ),
    inference(subsumption_resolution,[],[f941,f482]) ).

fof(f482,plain,
    ! [X0] :
      ( ssItem(sK42(X0))
      | ~ ssList(X0)
      | ~ singletonP(X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f311,plain,
    ! [X0] :
      ( ( ( ( ssItem(sK42(X0))
            & cons(sK42(X0),nil) = X0 )
          | ~ singletonP(X0) )
        & ( singletonP(X0)
          | ! [X2] :
              ( ~ ssItem(X2)
              | cons(X2,nil) != X0 ) ) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f309,f310]) ).

fof(f310,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssItem(X1)
          & cons(X1,nil) = X0 )
     => ( ssItem(sK42(X0))
        & cons(sK42(X0),nil) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f309,plain,
    ! [X0] :
      ( ( ( ? [X1] :
              ( ssItem(X1)
              & cons(X1,nil) = X0 )
          | ~ singletonP(X0) )
        & ( singletonP(X0)
          | ! [X2] :
              ( ~ ssItem(X2)
              | cons(X2,nil) != X0 ) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f308]) ).

fof(f308,plain,
    ! [X0] :
      ( ( ( ? [X1] :
              ( ssItem(X1)
              & cons(X1,nil) = X0 )
          | ~ singletonP(X0) )
        & ( singletonP(X0)
          | ! [X1] :
              ( ~ ssItem(X1)
              | cons(X1,nil) != X0 ) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ( ? [X1] :
            ( ssItem(X1)
            & cons(X1,nil) = X0 )
      <=> singletonP(X0) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( ssItem(X1)
            & cons(X1,nil) = X0 )
      <=> singletonP(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f941,plain,
    ( ! [X0] :
        ( ~ singletonP(X0)
        | ~ ssList(X0)
        | nil = tl(X0)
        | ~ ssItem(sK42(X0)) )
    | ~ spl68_1 ),
    inference(subsumption_resolution,[],[f939,f627]) ).

fof(f939,plain,
    ! [X0] :
      ( ~ ssItem(sK42(X0))
      | ~ ssList(nil)
      | ~ ssList(X0)
      | nil = tl(X0)
      | ~ singletonP(X0) ),
    inference(superposition,[],[f515,f481]) ).

fof(f481,plain,
    ! [X0] :
      ( cons(sK42(X0),nil) = X0
      | ~ ssList(X0)
      | ~ singletonP(X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f3422,plain,
    ( ~ spl68_93
    | spl68_70
    | ~ spl68_1
    | ~ spl68_4
    | ~ spl68_5
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | ~ spl68_36 ),
    inference(avatar_split_clause,[],[f3329,f1259,f850,f782,f777,f773,f644,f639,f626,f2384,f3352]) ).

fof(f3352,plain,
    ( spl68_93
  <=> ssList(tl(sF64)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_93])]) ).

fof(f2384,plain,
    ( spl68_70
  <=> frontsegP(sF64,sK27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_70])]) ).

fof(f777,plain,
    ( spl68_15
  <=> ssList(sF64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_15])]) ).

fof(f782,plain,
    ( spl68_16
  <=> ssList(sF66) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_16])]) ).

fof(f1259,plain,
    ( spl68_36
  <=> hd(sK27) = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_36])]) ).

fof(f3329,plain,
    ( frontsegP(sF64,sK27)
    | ~ ssList(tl(sF64))
    | ~ spl68_1
    | ~ spl68_4
    | ~ spl68_5
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | ~ spl68_36 ),
    inference(superposition,[],[f1776,f2439]) ).

fof(f2439,plain,
    ( sF64 = cons(sK31,tl(sF64))
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | ~ spl68_36 ),
    inference(subsumption_resolution,[],[f2438,f779]) ).

fof(f779,plain,
    ( ssList(sF64)
    | ~ spl68_15 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f2438,plain,
    ( ~ ssList(sF64)
    | sF64 = cons(sK31,tl(sF64))
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | ~ spl68_36 ),
    inference(subsumption_resolution,[],[f2430,f1113]) ).

fof(f1113,plain,
    ( nil != sF64
    | ~ spl68_1
    | ~ spl68_14 ),
    inference(subsumption_resolution,[],[f1112,f774]) ).

fof(f1112,plain,
    ( ~ ssList(sF63)
    | nil != sF64
    | ~ spl68_1 ),
    inference(subsumption_resolution,[],[f1111,f812]) ).

fof(f1111,plain,
    ( nil != sF64
    | nil = sF63
    | ~ ssList(sF63) ),
    inference(subsumption_resolution,[],[f1104,f435]) ).

fof(f435,plain,
    ssList(sK34),
    inference(cnf_transformation,[],[f293]) ).

fof(f1104,plain,
    ( ~ ssList(sK34)
    | nil != sF64
    | ~ ssList(sF63)
    | nil = sF63 ),
    inference(superposition,[],[f534,f613]) ).

fof(f613,plain,
    sF64 = app(sK34,sF63),
    introduced(function_definition,[]) ).

fof(f534,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | nil = X1
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f334]) ).

fof(f334,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) ) ) ),
    inference(flattening,[],[f333]) ).

fof(f333,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).

fof(f2430,plain,
    ( nil = sF64
    | ~ ssList(sF64)
    | sF64 = cons(sK31,tl(sF64))
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | ~ spl68_36 ),
    inference(superposition,[],[f502,f2402]) ).

fof(f2402,plain,
    ( hd(sF64) = sK31
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | ~ spl68_36 ),
    inference(forward_demodulation,[],[f2401,f2162]) ).

fof(f2162,plain,
    ( hd(sF66) = sK31
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | ~ spl68_36 ),
    inference(forward_demodulation,[],[f2161,f1261]) ).

fof(f1261,plain,
    ( hd(sK27) = sK31
    | ~ spl68_36 ),
    inference(avatar_component_clause,[],[f1259]) ).

fof(f2161,plain,
    ( hd(sF66) = hd(sK27)
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f2160,f437]) ).

fof(f437,plain,
    ssList(sK35),
    inference(cnf_transformation,[],[f293]) ).

fof(f2160,plain,
    ( hd(sF66) = hd(sK27)
    | ~ ssList(sK35)
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f2159,f1110]) ).

fof(f1110,plain,
    ( nil != sF66
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f1109,f779]) ).

fof(f1109,plain,
    ( ~ ssList(sF64)
    | nil != sF66
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f1108,f774]) ).

fof(f1108,plain,
    ( ~ ssList(sF63)
    | ~ ssList(sF64)
    | nil != sF66
    | ~ spl68_1
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f1105,f812]) ).

fof(f1105,plain,
    ( nil = sF63
    | ~ ssList(sF64)
    | ~ ssList(sF63)
    | nil != sF66
    | ~ spl68_18 ),
    inference(superposition,[],[f534,f880]) ).

fof(f2159,plain,
    ( nil = sF66
    | hd(sF66) = hd(sK27)
    | ~ ssList(sK35)
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f2128,f784]) ).

fof(f784,plain,
    ( ssList(sF66)
    | ~ spl68_16 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f2128,plain,
    ( ~ ssList(sF66)
    | nil = sF66
    | hd(sF66) = hd(sK27)
    | ~ ssList(sK35) ),
    inference(superposition,[],[f479,f691]) ).

fof(f691,plain,
    app(sF66,sK35) = sK27,
    inference(forward_demodulation,[],[f616,f617]) ).

fof(f617,plain,
    sF67 = sK27,
    inference(definition_folding,[],[f436,f616,f615,f614,f613,f612]) ).

fof(f436,plain,
    app(app(app(sK34,cons(sK32,nil)),cons(sK33,nil)),sK35) = sK27,
    inference(cnf_transformation,[],[f293]) ).

fof(f616,plain,
    app(sF66,sK35) = sF67,
    introduced(function_definition,[]) ).

fof(f479,plain,
    ! [X0,X1] :
      ( hd(X0) = hd(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f195]) ).

fof(f195,plain,
    ! [X0] :
      ( ! [X1] :
          ( nil = X0
          | ~ ssList(X1)
          | hd(X0) = hd(app(X0,X1)) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f194]) ).

fof(f194,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(X0) = hd(app(X0,X1))
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil != X0
           => hd(X0) = hd(app(X0,X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).

fof(f2401,plain,
    ( hd(sF66) = hd(sF64)
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f2400,f1113]) ).

fof(f2400,plain,
    ( nil = sF64
    | hd(sF66) = hd(sF64)
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f2399,f774]) ).

fof(f2399,plain,
    ( hd(sF66) = hd(sF64)
    | ~ ssList(sF63)
    | nil = sF64
    | ~ spl68_15
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f2391,f779]) ).

fof(f2391,plain,
    ( ~ ssList(sF64)
    | nil = sF64
    | hd(sF66) = hd(sF64)
    | ~ ssList(sF63)
    | ~ spl68_18 ),
    inference(superposition,[],[f479,f880]) ).

fof(f502,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f218]) ).

fof(f218,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(flattening,[],[f217]) ).

fof(f217,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).

fof(f1776,plain,
    ( ! [X4] :
        ( frontsegP(cons(sK31,X4),sK27)
        | ~ ssList(X4) )
    | ~ spl68_4
    | ~ spl68_5 ),
    inference(subsumption_resolution,[],[f1771,f452]) ).

fof(f452,plain,
    ssList(sK27),
    inference(cnf_transformation,[],[f293]) ).

fof(f1771,plain,
    ( ! [X4] :
        ( frontsegP(cons(sK31,X4),sK27)
        | ~ ssList(sK27)
        | ~ ssList(X4) )
    | ~ spl68_4
    | ~ spl68_5 ),
    inference(duplicate_literal_removal,[],[f1762]) ).

fof(f1762,plain,
    ( ! [X4] :
        ( frontsegP(cons(sK31,X4),sK27)
        | ~ ssList(sK27)
        | ~ ssList(X4)
        | ~ ssList(X4) )
    | ~ spl68_4
    | ~ spl68_5 ),
    inference(superposition,[],[f1756,f1446]) ).

fof(f1756,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f605,f567]) ).

fof(f567,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f216]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f605,plain,
    ! [X2,X1] :
      ( ~ ssList(app(X1,X2))
      | frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f543]) ).

fof(f543,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | frontsegP(X0,X1)
      | app(X1,X2) != X0
      | ~ ssList(X2) ),
    inference(cnf_transformation,[],[f341]) ).

fof(f341,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(X1,sK56(X0,X1)) = X0
                & ssList(sK56(X0,X1)) )
              | ~ frontsegP(X0,X1) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f339,f340]) ).

fof(f340,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X1,X3) = X0
          & ssList(X3) )
     => ( app(X1,sK56(X0,X1)) = X0
        & ssList(sK56(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f339,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X3] :
                  ( app(X1,X3) = X0
                  & ssList(X3) )
              | ~ frontsegP(X0,X1) ) ) ) ),
    inference(rectify,[],[f338]) ).

fof(f338,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f3420,plain,
    ( spl68_69
    | ~ spl68_70
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18 ),
    inference(avatar_split_clause,[],[f3419,f850,f782,f777,f773,f2384,f2380]) ).

fof(f3419,plain,
    ( ~ frontsegP(sF64,sK27)
    | sF64 = sK27
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f2055,f779]) ).

fof(f2055,plain,
    ( ~ ssList(sF64)
    | ~ frontsegP(sF64,sK27)
    | sF64 = sK27
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18 ),
    inference(resolution,[],[f1983,f1778]) ).

fof(f1778,plain,
    ( frontsegP(sF66,sF64)
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f1777,f779]) ).

fof(f1777,plain,
    ( ~ ssList(sF64)
    | frontsegP(sF66,sF64)
    | ~ spl68_14
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f1765,f774]) ).

fof(f1765,plain,
    ( ~ ssList(sF63)
    | frontsegP(sF66,sF64)
    | ~ ssList(sF64)
    | ~ spl68_18 ),
    inference(superposition,[],[f1756,f880]) ).

fof(f1983,plain,
    ( ! [X1] :
        ( ~ frontsegP(sF66,X1)
        | ~ ssList(X1)
        | ~ frontsegP(X1,sK27)
        | sK27 = X1 )
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1981,f452]) ).

fof(f1981,plain,
    ( ! [X1] :
        ( sK27 = X1
        | ~ frontsegP(X1,sK27)
        | ~ frontsegP(sF66,X1)
        | ~ ssList(sK27)
        | ~ ssList(X1) )
    | ~ spl68_16 ),
    inference(duplicate_literal_removal,[],[f1980]) ).

fof(f1980,plain,
    ( ! [X1] :
        ( ~ frontsegP(X1,sK27)
        | ~ ssList(sK27)
        | ~ frontsegP(sF66,X1)
        | ~ ssList(X1)
        | ~ ssList(X1)
        | sK27 = X1 )
    | ~ spl68_16 ),
    inference(resolution,[],[f1966,f457]) ).

fof(f457,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X1,X0)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( X0 = X1
          | ~ frontsegP(X1,X0)
          | ~ frontsegP(X0,X1)
          | ~ ssList(X1) ) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ frontsegP(X1,X0)
          | ~ frontsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( frontsegP(X1,X0)
              & frontsegP(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).

fof(f1966,plain,
    ( ! [X17] :
        ( frontsegP(sK27,X17)
        | ~ frontsegP(sF66,X17)
        | ~ ssList(X17) )
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1965,f784]) ).

fof(f1965,plain,
    ! [X17] :
      ( ~ ssList(X17)
      | frontsegP(sK27,X17)
      | ~ ssList(sF66)
      | ~ frontsegP(sF66,X17) ),
    inference(subsumption_resolution,[],[f1954,f437]) ).

fof(f1954,plain,
    ! [X17] :
      ( ~ ssList(X17)
      | ~ frontsegP(sF66,X17)
      | ~ ssList(sK35)
      | frontsegP(sK27,X17)
      | ~ ssList(sF66) ),
    inference(superposition,[],[f400,f691]) ).

fof(f400,plain,
    ! [X2,X0,X1] :
      ( frontsegP(app(X0,X2),X1)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ! [X2] :
              ( ~ ssList(X2)
              | ~ frontsegP(X0,X1)
              | frontsegP(app(X0,X2),X1) ) ) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(app(X0,X2),X1)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( frontsegP(X0,X1)
               => frontsegP(app(X0,X2),X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).

fof(f3418,plain,
    ( ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | spl68_93 ),
    inference(avatar_contradiction_clause,[],[f3417]) ).

fof(f3417,plain,
    ( $false
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | spl68_93 ),
    inference(subsumption_resolution,[],[f3416,f1113]) ).

fof(f3416,plain,
    ( nil = sF64
    | ~ spl68_15
    | spl68_93 ),
    inference(subsumption_resolution,[],[f3414,f779]) ).

fof(f3414,plain,
    ( ~ ssList(sF64)
    | nil = sF64
    | spl68_93 ),
    inference(resolution,[],[f3354,f501]) ).

fof(f501,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f3354,plain,
    ( ~ ssList(tl(sF64))
    | spl68_93 ),
    inference(avatar_component_clause,[],[f3352]) ).

fof(f2980,plain,
    ( ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | spl68_80 ),
    inference(avatar_contradiction_clause,[],[f2979]) ).

fof(f2979,plain,
    ( $false
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | spl68_80 ),
    inference(subsumption_resolution,[],[f2978,f784]) ).

fof(f2978,plain,
    ( ~ ssList(sF66)
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_18
    | spl68_80 ),
    inference(subsumption_resolution,[],[f2976,f1110]) ).

fof(f2976,plain,
    ( nil = sF66
    | ~ ssList(sF66)
    | spl68_80 ),
    inference(resolution,[],[f2925,f501]) ).

fof(f2925,plain,
    ( ~ ssList(tl(sF66))
    | spl68_80 ),
    inference(avatar_component_clause,[],[f2923]) ).

fof(f2923,plain,
    ( spl68_80
  <=> ssList(tl(sF66)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_80])]) ).

fof(f2938,plain,
    ( ~ spl68_80
    | spl68_57
    | ~ spl68_1
    | ~ spl68_4
    | ~ spl68_5
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | ~ spl68_36 ),
    inference(avatar_split_clause,[],[f2937,f1259,f850,f782,f777,f773,f644,f639,f626,f1815,f2923]) ).

fof(f2937,plain,
    ( sF66 = sK27
    | ~ ssList(tl(sF66))
    | ~ spl68_1
    | ~ spl68_4
    | ~ spl68_5
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | ~ spl68_36 ),
    inference(subsumption_resolution,[],[f2891,f1780]) ).

fof(f1780,plain,
    ( frontsegP(sK27,sF66)
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1779,f437]) ).

fof(f1779,plain,
    ( ~ ssList(sK35)
    | frontsegP(sK27,sF66)
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1766,f784]) ).

fof(f1766,plain,
    ( frontsegP(sK27,sF66)
    | ~ ssList(sF66)
    | ~ ssList(sK35) ),
    inference(superposition,[],[f1756,f691]) ).

fof(f2891,plain,
    ( ~ ssList(tl(sF66))
    | sF66 = sK27
    | ~ frontsegP(sK27,sF66)
    | ~ spl68_1
    | ~ spl68_4
    | ~ spl68_5
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | ~ spl68_36 ),
    inference(superposition,[],[f1823,f2183]) ).

fof(f2183,plain,
    ( cons(sK31,tl(sF66)) = sF66
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | ~ spl68_36 ),
    inference(subsumption_resolution,[],[f2182,f1110]) ).

fof(f2182,plain,
    ( cons(sK31,tl(sF66)) = sF66
    | nil = sF66
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | ~ spl68_36 ),
    inference(subsumption_resolution,[],[f2174,f784]) ).

fof(f2174,plain,
    ( ~ ssList(sF66)
    | nil = sF66
    | cons(sK31,tl(sF66)) = sF66
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18
    | ~ spl68_36 ),
    inference(superposition,[],[f502,f2162]) ).

fof(f1823,plain,
    ( ! [X0] :
        ( ~ frontsegP(sK27,cons(sK31,X0))
        | ~ ssList(X0)
        | cons(sK31,X0) = sK27 )
    | ~ spl68_4
    | ~ spl68_5 ),
    inference(subsumption_resolution,[],[f1822,f1532]) ).

fof(f1532,plain,
    ( ! [X2] :
        ( ssList(cons(sK31,X2))
        | ~ ssList(X2) )
    | ~ spl68_4
    | ~ spl68_5 ),
    inference(subsumption_resolution,[],[f1528,f452]) ).

fof(f1528,plain,
    ( ! [X2] :
        ( ~ ssList(X2)
        | ssList(cons(sK31,X2))
        | ~ ssList(sK27) )
    | ~ spl68_4
    | ~ spl68_5 ),
    inference(duplicate_literal_removal,[],[f1526]) ).

fof(f1526,plain,
    ( ! [X2] :
        ( ssList(cons(sK31,X2))
        | ~ ssList(sK27)
        | ~ ssList(X2)
        | ~ ssList(X2) )
    | ~ spl68_4
    | ~ spl68_5 ),
    inference(superposition,[],[f567,f1446]) ).

fof(f1822,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(cons(sK31,X0))
        | ~ frontsegP(sK27,cons(sK31,X0))
        | cons(sK31,X0) = sK27 )
    | ~ spl68_4
    | ~ spl68_5 ),
    inference(subsumption_resolution,[],[f1819,f452]) ).

fof(f1819,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sK31,X0))
        | ~ frontsegP(sK27,cons(sK31,X0))
        | ~ ssList(X0)
        | ~ ssList(sK27)
        | cons(sK31,X0) = sK27 )
    | ~ spl68_4
    | ~ spl68_5 ),
    inference(resolution,[],[f1776,f457]) ).

fof(f1270,plain,
    ( ~ spl68_3
    | ~ spl68_4
    | ~ spl68_10 ),
    inference(avatar_contradiction_clause,[],[f1269]) ).

fof(f1269,plain,
    ( $false
    | ~ spl68_3
    | ~ spl68_4
    | ~ spl68_10 ),
    inference(subsumption_resolution,[],[f1268,f641]) ).

fof(f1268,plain,
    ( ~ ssItem(sK31)
    | ~ spl68_3
    | ~ spl68_10 ),
    inference(resolution,[],[f1266,f476]) ).

fof(f476,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f201,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(nil,X0) ),
    inference(ennf_transformation,[],[f38]) ).

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

fof(f1266,plain,
    ( memberP(nil,sK31)
    | ~ spl68_3
    | ~ spl68_10 ),
    inference(backward_demodulation,[],[f668,f637]) ).

fof(f637,plain,
    ( nil = sK28
    | ~ spl68_3 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f635,plain,
    ( spl68_3
  <=> nil = sK28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_3])]) ).

fof(f668,plain,
    ( memberP(sK28,sK31)
    | ~ spl68_10 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f666,plain,
    ( spl68_10
  <=> memberP(sK28,sK31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_10])]) ).

fof(f1262,plain,
    ( spl68_36
    | ~ spl68_4
    | ~ spl68_1
    | ~ spl68_5 ),
    inference(avatar_split_clause,[],[f1257,f644,f626,f639,f1259]) ).

fof(f1257,plain,
    ( ~ ssItem(sK31)
    | hd(sK27) = sK31
    | ~ spl68_1
    | ~ spl68_5 ),
    inference(subsumption_resolution,[],[f827,f627]) ).

fof(f827,plain,
    ( hd(sK27) = sK31
    | ~ ssItem(sK31)
    | ~ ssList(nil)
    | ~ spl68_5 ),
    inference(superposition,[],[f371,f690]) ).

fof(f371,plain,
    ! [X0,X1] :
      ( hd(cons(X1,X0)) = X1
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( hd(cons(X1,X0)) = X1
          | ~ ssItem(X1) ) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => hd(cons(X1,X0)) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(f1225,plain,
    ( spl68_29
    | ~ spl68_4
    | ~ spl68_5 ),
    inference(avatar_split_clause,[],[f967,f644,f639,f1222]) ).

fof(f967,plain,
    ( ~ ssItem(sK31)
    | singletonP(sK27)
    | ~ spl68_5 ),
    inference(subsumption_resolution,[],[f961,f452]) ).

fof(f961,plain,
    ( ~ ssList(sK27)
    | ~ ssItem(sK31)
    | singletonP(sK27)
    | ~ spl68_5 ),
    inference(superposition,[],[f598,f690]) ).

fof(f598,plain,
    ! [X2] :
      ( singletonP(cons(X2,nil))
      | ~ ssItem(X2)
      | ~ ssList(cons(X2,nil)) ),
    inference(equality_resolution,[],[f480]) ).

fof(f480,plain,
    ! [X2,X0] :
      ( singletonP(X0)
      | ~ ssItem(X2)
      | cons(X2,nil) != X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f1214,plain,
    ( ~ spl68_6
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18 ),
    inference(avatar_split_clause,[],[f1213,f850,f782,f777,f773,f626,f648]) ).

fof(f648,plain,
    ( spl68_6
  <=> nil = sK27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_6])]) ).

fof(f1213,plain,
    ( nil != sK27
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f1212,f784]) ).

fof(f1212,plain,
    ( nil != sK27
    | ~ ssList(sF66)
    | ~ spl68_1
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_18 ),
    inference(subsumption_resolution,[],[f1211,f1110]) ).

fof(f1211,plain,
    ( nil = sF66
    | nil != sK27
    | ~ ssList(sF66) ),
    inference(subsumption_resolution,[],[f1119,f437]) ).

fof(f1119,plain,
    ( ~ ssList(sK35)
    | nil != sK27
    | nil = sF66
    | ~ ssList(sF66) ),
    inference(superposition,[],[f535,f691]) ).

fof(f535,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f334]) ).

fof(f869,plain,
    spl68_18,
    inference(avatar_split_clause,[],[f868,f850]) ).

fof(f868,plain,
    sK33 = sK32,
    inference(subsumption_resolution,[],[f867,f438]) ).

fof(f438,plain,
    ssItem(sK33),
    inference(cnf_transformation,[],[f293]) ).

fof(f867,plain,
    ( ~ ssItem(sK33)
    | sK33 = sK32 ),
    inference(subsumption_resolution,[],[f862,f440]) ).

fof(f862,plain,
    ( ~ ssItem(sK32)
    | sK33 = sK32
    | ~ ssItem(sK33) ),
    inference(resolution,[],[f454,f439]) ).

fof(f439,plain,
    ~ neq(sK32,sK33),
    inference(cnf_transformation,[],[f293]) ).

fof(f454,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f294]) ).

fof(f294,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | ( ( X0 != X1
              | ~ neq(X0,X1) )
            & ( neq(X0,X1)
              | X0 = X1 ) ) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | ( X0 != X1
          <=> neq(X0,X1) ) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( X0 != X1
          <=> neq(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f802,plain,
    ( spl68_14
    | ~ spl68_1 ),
    inference(avatar_split_clause,[],[f798,f626,f773]) ).

fof(f798,plain,
    ( ssList(sF63)
    | ~ spl68_1 ),
    inference(subsumption_resolution,[],[f797,f627]) ).

fof(f797,plain,
    ( ~ ssList(nil)
    | ssList(sF63) ),
    inference(subsumption_resolution,[],[f791,f440]) ).

fof(f791,plain,
    ( ~ ssItem(sK32)
    | ssList(sF63)
    | ~ ssList(nil) ),
    inference(superposition,[],[f568,f612]) ).

fof(f801,plain,
    ( spl68_17
    | ~ spl68_1 ),
    inference(avatar_split_clause,[],[f794,f626,f786]) ).

fof(f786,plain,
    ( spl68_17
  <=> ssList(sF65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_17])]) ).

fof(f794,plain,
    ( ssList(sF65)
    | ~ spl68_1 ),
    inference(subsumption_resolution,[],[f793,f627]) ).

fof(f793,plain,
    ( ~ ssList(nil)
    | ssList(sF65) ),
    inference(subsumption_resolution,[],[f792,f438]) ).

fof(f792,plain,
    ( ~ ssItem(sK33)
    | ssList(sF65)
    | ~ ssList(nil) ),
    inference(superposition,[],[f568,f614]) ).

fof(f789,plain,
    ( spl68_16
    | ~ spl68_17
    | ~ spl68_15 ),
    inference(avatar_split_clause,[],[f766,f777,f786,f782]) ).

fof(f766,plain,
    ( ~ ssList(sF64)
    | ~ ssList(sF65)
    | ssList(sF66) ),
    inference(superposition,[],[f567,f615]) ).

fof(f780,plain,
    ( ~ spl68_14
    | spl68_15 ),
    inference(avatar_split_clause,[],[f771,f777,f773]) ).

fof(f771,plain,
    ( ssList(sF64)
    | ~ ssList(sF63) ),
    inference(subsumption_resolution,[],[f765,f435]) ).

fof(f765,plain,
    ( ~ ssList(sK34)
    | ~ ssList(sF63)
    | ssList(sF64) ),
    inference(superposition,[],[f567,f613]) ).

fof(f689,plain,
    spl68_1,
    inference(avatar_split_clause,[],[f377,f626]) ).

fof(f377,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f680,plain,
    ( spl68_5
    | spl68_3 ),
    inference(avatar_split_clause,[],[f610,f635,f644]) ).

fof(f610,plain,
    ( nil = sK28
    | sF62 = sK27 ),
    inference(definition_folding,[],[f575,f609]) ).

fof(f575,plain,
    ( nil = sK28
    | cons(sK31,nil) = sK27 ),
    inference(definition_unfolding,[],[f447,f434,f441]) ).

fof(f441,plain,
    sK29 = sK27,
    inference(cnf_transformation,[],[f293]) ).

fof(f434,plain,
    sK30 = sK28,
    inference(cnf_transformation,[],[f293]) ).

fof(f447,plain,
    ( nil = sK30
    | sK29 = cons(sK31,nil) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f679,plain,
    ( spl68_6
    | spl68_4 ),
    inference(avatar_split_clause,[],[f580,f639,f648]) ).

fof(f580,plain,
    ( ssItem(sK31)
    | nil = sK27 ),
    inference(definition_unfolding,[],[f442,f441]) ).

fof(f442,plain,
    ( nil = sK29
    | ssItem(sK31) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f669,plain,
    ( spl68_6
    | spl68_10 ),
    inference(avatar_split_clause,[],[f578,f666,f648]) ).

fof(f578,plain,
    ( memberP(sK28,sK31)
    | nil = sK27 ),
    inference(definition_unfolding,[],[f444,f441,f434]) ).

fof(f444,plain,
    ( nil = sK29
    | memberP(sK30,sK31) ),
    inference(cnf_transformation,[],[f293]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC171+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n004.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 30 18:28:19 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.53  % (14632)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)
% 0.21/0.53  % (14623)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54  % (14645)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)
% 0.21/0.54  % (14625)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)
% 0.21/0.55  % (14625)Instruction limit reached!
% 0.21/0.55  % (14625)------------------------------
% 0.21/0.55  % (14625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (14625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (14625)Termination reason: Unknown
% 0.21/0.55  % (14625)Termination phase: shuffling
% 0.21/0.55  
% 0.21/0.55  % (14625)Memory used [KB]: 1535
% 0.21/0.55  % (14625)Time elapsed: 0.003 s
% 0.21/0.55  % (14625)Instructions burned: 3 (million)
% 0.21/0.55  % (14625)------------------------------
% 0.21/0.55  % (14625)------------------------------
% 0.21/0.55  % (14629)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)
% 0.21/0.56  % (14648)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)
% 0.21/0.56  % (14650)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)
% 0.21/0.57  % (14630)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)
% 0.21/0.57  % (14652)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)
% 0.21/0.57  % (14635)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)
% 0.21/0.57  % (14640)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.57  % (14642)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)
% 0.21/0.57  % (14640)Instruction limit reached!
% 0.21/0.57  % (14640)------------------------------
% 0.21/0.57  % (14640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (14640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (14640)Termination reason: Unknown
% 0.21/0.57  % (14640)Termination phase: Naming
% 0.21/0.57  
% 0.21/0.57  % (14640)Memory used [KB]: 1663
% 0.21/0.57  % (14640)Time elapsed: 0.003 s
% 0.21/0.57  % (14640)Instructions burned: 3 (million)
% 0.21/0.57  % (14640)------------------------------
% 0.21/0.57  % (14640)------------------------------
% 0.21/0.57  % (14644)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)
% 0.21/0.58  % (14628)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)
% 0.21/0.58  % (14637)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)
% 0.21/0.58  % (14642)Refutation not found, incomplete strategy% (14642)------------------------------
% 0.21/0.58  % (14642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (14632)Instruction limit reached!
% 0.21/0.59  % (14632)------------------------------
% 0.21/0.59  % (14632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (14632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (14632)Termination reason: Unknown
% 0.21/0.59  % (14632)Termination phase: Saturation
% 0.21/0.59  
% 0.21/0.59  % (14632)Memory used [KB]: 6652
% 0.21/0.59  % (14632)Time elapsed: 0.148 s
% 0.21/0.59  % (14632)Instructions burned: 33 (million)
% 0.21/0.59  % (14632)------------------------------
% 0.21/0.59  % (14632)------------------------------
% 0.21/0.59  % (14626)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)
% 0.21/0.59  % (14646)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)
% 0.21/0.59  % (14642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (14642)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.59  
% 0.21/0.59  % (14642)Memory used [KB]: 6268
% 0.21/0.59  % (14642)Time elapsed: 0.159 s
% 0.21/0.59  % (14642)Instructions burned: 9 (million)
% 0.21/0.59  % (14642)------------------------------
% 0.21/0.59  % (14642)------------------------------
% 0.21/0.60  % (14637)Instruction limit reached!
% 0.21/0.60  % (14637)------------------------------
% 0.21/0.60  % (14637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (14637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (14637)Termination reason: Unknown
% 0.21/0.60  % (14637)Termination phase: shuffling
% 0.21/0.60  
% 0.21/0.60  % (14637)Memory used [KB]: 1535
% 0.21/0.60  % (14637)Time elapsed: 0.005 s
% 0.21/0.60  % (14637)Instructions burned: 3 (million)
% 0.21/0.60  % (14637)------------------------------
% 0.21/0.60  % (14637)------------------------------
% 0.21/0.60  % (14627)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)
% 0.21/0.60  % (14635)Instruction limit reached!
% 0.21/0.60  % (14635)------------------------------
% 0.21/0.60  % (14635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (14635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (14635)Termination reason: Unknown
% 0.21/0.60  % (14635)Termination phase: Saturation
% 0.21/0.60  
% 0.21/0.60  % (14635)Memory used [KB]: 2046
% 0.21/0.60  % (14635)Time elapsed: 0.169 s
% 0.21/0.60  % (14635)Instructions burned: 16 (million)
% 0.21/0.60  % (14635)------------------------------
% 0.21/0.60  % (14635)------------------------------
% 0.21/0.60  % (14638)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)
% 0.21/0.60  % (14639)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)
% 0.21/0.61  % (14631)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)
% 0.21/0.61  % (14650)Instruction limit reached!
% 0.21/0.61  % (14650)------------------------------
% 0.21/0.61  % (14650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61  % (14650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61  % (14650)Termination reason: Unknown
% 0.21/0.61  % (14650)Termination phase: Saturation
% 0.21/0.61  
% 0.21/0.61  % (14650)Memory used [KB]: 6652
% 0.21/0.61  % (14650)Time elapsed: 0.187 s
% 0.21/0.61  % (14650)Instructions burned: 25 (million)
% 0.21/0.61  % (14650)------------------------------
% 0.21/0.61  % (14650)------------------------------
% 0.21/0.61  % (14647)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)
% 0.21/0.61  % (14624)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)
% 0.21/0.61  % (14643)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)
% 0.21/0.62  % (14633)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)
% 0.21/0.62  % (14636)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)
% 0.21/0.62  % (14649)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)
% 0.21/0.62  % (14652)Instruction limit reached!
% 0.21/0.62  % (14652)------------------------------
% 0.21/0.62  % (14652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62  % (14652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62  % (14652)Termination reason: Unknown
% 0.21/0.62  % (14652)Termination phase: Saturation
% 0.21/0.62  
% 0.21/0.62  % (14652)Memory used [KB]: 6396
% 0.21/0.62  % (14652)Time elapsed: 0.197 s
% 0.21/0.62  % (14652)Instructions burned: 24 (million)
% 0.21/0.62  % (14652)------------------------------
% 0.21/0.62  % (14652)------------------------------
% 0.21/0.62  % (14628)Instruction limit reached!
% 0.21/0.62  % (14628)------------------------------
% 0.21/0.62  % (14628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62  % (14628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62  % (14628)Termination reason: Unknown
% 0.21/0.62  % (14628)Termination phase: Saturation
% 0.21/0.62  
% 0.21/0.62  % (14628)Memory used [KB]: 1791
% 0.21/0.62  % (14628)Time elapsed: 0.185 s
% 0.21/0.62  % (14628)Instructions burned: 16 (million)
% 0.21/0.62  % (14628)------------------------------
% 0.21/0.62  % (14628)------------------------------
% 0.21/0.63  % (14638)Instruction limit reached!
% 0.21/0.63  % (14638)------------------------------
% 0.21/0.63  % (14638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.63  % (14638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.63  % (14638)Termination reason: Unknown
% 0.21/0.63  % (14638)Termination phase: Function definition elimination
% 0.21/0.63  
% 0.21/0.63  % (14638)Memory used [KB]: 1791
% 0.21/0.63  % (14638)Time elapsed: 0.008 s
% 0.21/0.63  % (14638)Instructions burned: 8 (million)
% 0.21/0.63  % (14638)------------------------------
% 0.21/0.63  % (14638)------------------------------
% 2.05/0.63  % (14627)Instruction limit reached!
% 2.05/0.63  % (14627)------------------------------
% 2.05/0.63  % (14627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63  % (14627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63  % (14627)Termination reason: Unknown
% 2.05/0.63  % (14627)Termination phase: Saturation
% 2.05/0.63  
% 2.05/0.63  % (14627)Memory used [KB]: 6268
% 2.05/0.63  % (14627)Time elapsed: 0.202 s
% 2.05/0.63  % (14627)Instructions burned: 14 (million)
% 2.05/0.63  % (14627)------------------------------
% 2.05/0.63  % (14627)------------------------------
% 2.05/0.63  % (14641)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)
% 2.05/0.63  % (14641)Instruction limit reached!
% 2.05/0.63  % (14641)------------------------------
% 2.05/0.63  % (14641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63  % (14641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63  % (14641)Termination reason: Unknown
% 2.05/0.63  % (14641)Termination phase: Naming
% 2.05/0.63  
% 2.05/0.63  % (14641)Memory used [KB]: 1535
% 2.05/0.63  % (14641)Time elapsed: 0.004 s
% 2.05/0.63  % (14641)Instructions burned: 2 (million)
% 2.05/0.63  % (14641)------------------------------
% 2.05/0.63  % (14641)------------------------------
% 2.05/0.63  % (14634)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)
% 2.05/0.63  % (14651)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)
% 2.05/0.63  % (14624)Instruction limit reached!
% 2.05/0.63  % (14624)------------------------------
% 2.05/0.63  % (14624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63  % (14624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63  % (14624)Termination reason: Unknown
% 2.05/0.63  % (14624)Termination phase: Saturation
% 2.05/0.63  
% 2.05/0.63  % (14624)Memory used [KB]: 6396
% 2.05/0.63  % (14624)Time elapsed: 0.013 s
% 2.05/0.63  % (14624)Instructions burned: 13 (million)
% 2.05/0.63  % (14624)------------------------------
% 2.05/0.63  % (14624)------------------------------
% 2.05/0.63  % (14634)Instruction limit reached!
% 2.05/0.63  % (14634)------------------------------
% 2.05/0.63  % (14634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63  % (14634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63  % (14634)Termination reason: Unknown
% 2.05/0.63  % (14634)Termination phase: Saturation
% 2.05/0.63  
% 2.05/0.63  % (14634)Memory used [KB]: 6140
% 2.05/0.63  % (14634)Time elapsed: 0.208 s
% 2.05/0.63  % (14634)Instructions burned: 7 (million)
% 2.05/0.63  % (14634)------------------------------
% 2.05/0.63  % (14634)------------------------------
% 2.05/0.64  % (14633)Instruction limit reached!
% 2.05/0.64  % (14633)------------------------------
% 2.05/0.64  % (14633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.64  % (14633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.64  % (14633)Termination reason: Unknown
% 2.05/0.65  % (14633)Termination phase: Saturation
% 2.05/0.65  
% 2.05/0.65  % (14633)Memory used [KB]: 6268
% 2.05/0.65  % (14633)Time elapsed: 0.202 s
% 2.05/0.65  % (14633)Instructions burned: 13 (million)
% 2.05/0.65  % (14633)------------------------------
% 2.05/0.65  % (14633)------------------------------
% 2.25/0.66  % (14651)Instruction limit reached!
% 2.25/0.66  % (14651)------------------------------
% 2.25/0.66  % (14651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.66  % (14651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.66  % (14651)Termination reason: Unknown
% 2.25/0.66  % (14651)Termination phase: Equality proxy
% 2.25/0.66  
% 2.25/0.66  % (14651)Memory used [KB]: 1791
% 2.25/0.66  % (14651)Time elapsed: 0.007 s
% 2.25/0.66  % (14651)Instructions burned: 10 (million)
% 2.25/0.66  % (14651)------------------------------
% 2.25/0.66  % (14651)------------------------------
% 2.30/0.66  % (14629)Instruction limit reached!
% 2.30/0.66  % (14629)------------------------------
% 2.30/0.66  % (14629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.66  % (14629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.66  % (14629)Termination reason: Unknown
% 2.30/0.66  % (14629)Termination phase: Saturation
% 2.30/0.66  
% 2.30/0.66  % (14629)Memory used [KB]: 6652
% 2.30/0.66  % (14629)Time elapsed: 0.254 s
% 2.30/0.66  % (14629)Instructions burned: 40 (million)
% 2.30/0.66  % (14629)------------------------------
% 2.30/0.66  % (14629)------------------------------
% 2.30/0.67  % (14645)Instruction limit reached!
% 2.30/0.67  % (14645)------------------------------
% 2.30/0.67  % (14645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.67  % (14645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.67  % (14645)Termination reason: Unknown
% 2.30/0.67  % (14645)Termination phase: Saturation
% 2.30/0.67  
% 2.30/0.67  % (14645)Memory used [KB]: 8315
% 2.30/0.67  % (14645)Time elapsed: 0.266 s
% 2.30/0.67  % (14645)Instructions burned: 82 (million)
% 2.30/0.67  % (14645)------------------------------
% 2.30/0.67  % (14645)------------------------------
% 2.30/0.67  % (14630)Refutation not found, non-redundant clauses discarded% (14630)------------------------------
% 2.30/0.67  % (14630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.67  % (14630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.67  % (14630)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.30/0.67  
% 2.30/0.67  % (14630)Memory used [KB]: 6524
% 2.30/0.67  % (14630)Time elapsed: 0.268 s
% 2.30/0.67  % (14630)Instructions burned: 35 (million)
% 2.30/0.67  % (14630)------------------------------
% 2.30/0.67  % (14630)------------------------------
% 2.30/0.67  % (14643)Instruction limit reached!
% 2.30/0.67  % (14643)------------------------------
% 2.30/0.67  % (14643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.67  % (14643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.67  % (14643)Termination reason: Unknown
% 2.30/0.67  % (14643)Termination phase: Saturation
% 2.30/0.67  
% 2.30/0.67  % (14643)Memory used [KB]: 6524
% 2.30/0.67  % (14643)Time elapsed: 0.249 s
% 2.30/0.67  % (14643)Instructions burned: 30 (million)
% 2.30/0.67  % (14643)------------------------------
% 2.30/0.67  % (14643)------------------------------
% 2.52/0.72  % (14636)Instruction limit reached!
% 2.52/0.72  % (14636)------------------------------
% 2.52/0.72  % (14636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.72  % (14636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.72  % (14636)Termination reason: Unknown
% 2.52/0.72  % (14636)Termination phase: Saturation
% 2.52/0.72  
% 2.52/0.72  % (14636)Memory used [KB]: 7291
% 2.52/0.72  % (14636)Time elapsed: 0.294 s
% 2.52/0.72  % (14636)Instructions burned: 52 (million)
% 2.52/0.72  % (14636)------------------------------
% 2.52/0.72  % (14636)------------------------------
% 2.52/0.72  % (14626)Instruction limit reached!
% 2.52/0.72  % (14626)------------------------------
% 2.52/0.72  % (14626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.72  % (14626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.72  % (14626)Termination reason: Unknown
% 2.52/0.72  % (14626)Termination phase: Saturation
% 2.52/0.72  
% 2.52/0.72  % (14626)Memory used [KB]: 7291
% 2.52/0.72  % (14626)Time elapsed: 0.299 s
% 2.52/0.72  % (14626)Instructions burned: 52 (million)
% 2.52/0.72  % (14626)------------------------------
% 2.52/0.72  % (14626)------------------------------
% 2.52/0.73  % (14676)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.52/0.73  % (14646)Instruction limit reached!
% 2.52/0.73  % (14646)------------------------------
% 2.52/0.73  % (14646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.73  % (14646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.73  % (14646)Termination reason: Unknown
% 2.52/0.73  % (14646)Termination phase: Saturation
% 2.52/0.73  
% 2.52/0.73  % (14646)Memory used [KB]: 2174
% 2.52/0.73  % (14646)Time elapsed: 0.260 s
% 2.52/0.73  % (14646)Instructions burned: 45 (million)
% 2.52/0.73  % (14646)------------------------------
% 2.52/0.73  % (14646)------------------------------
% 2.52/0.73  % (14671)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 2.52/0.73  % (14631)Instruction limit reached!
% 2.52/0.73  % (14631)------------------------------
% 2.52/0.73  % (14631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.73  % (14631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.73  % (14631)Termination reason: Unknown
% 2.52/0.73  % (14631)Termination phase: Saturation
% 2.52/0.73  
% 2.52/0.73  % (14631)Memory used [KB]: 6908
% 2.52/0.73  % (14631)Time elapsed: 0.247 s
% 2.52/0.73  % (14631)Instructions burned: 50 (million)
% 2.52/0.73  % (14631)------------------------------
% 2.52/0.73  % (14631)------------------------------
% 2.52/0.74  % (14639)Instruction limit reached!
% 2.52/0.74  % (14639)------------------------------
% 2.52/0.74  % (14639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.74  % (14639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.74  % (14639)Termination reason: Unknown
% 2.52/0.74  % (14639)Termination phase: Saturation
% 2.52/0.74  
% 2.52/0.74  % (14639)Memory used [KB]: 7036
% 2.52/0.74  % (14639)Time elapsed: 0.288 s
% 2.52/0.74  % (14639)Instructions burned: 51 (million)
% 2.52/0.74  % (14639)------------------------------
% 2.52/0.74  % (14639)------------------------------
% 2.52/0.74  % (14647)Instruction limit reached!
% 2.52/0.74  % (14647)------------------------------
% 2.52/0.74  % (14647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.74  % (14647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.74  % (14647)Termination reason: Unknown
% 2.52/0.74  % (14647)Termination phase: Saturation
% 2.52/0.74  
% 2.52/0.74  % (14647)Memory used [KB]: 6780
% 2.52/0.74  % (14647)Time elapsed: 0.294 s
% 2.52/0.74  % (14647)Instructions burned: 50 (million)
% 2.52/0.74  % (14647)------------------------------
% 2.52/0.74  % (14647)------------------------------
% 2.52/0.74  % (14623)First to succeed.
% 2.52/0.74  % (14677)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 2.68/0.75  % (14673)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 2.68/0.76  % (14644)Instruction limit reached!
% 2.68/0.76  % (14644)------------------------------
% 2.68/0.76  % (14644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76  % (14644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76  % (14644)Termination reason: Unknown
% 2.68/0.76  % (14644)Termination phase: Saturation
% 2.68/0.76  
% 2.68/0.76  % (14644)Memory used [KB]: 8059
% 2.68/0.76  % (14644)Time elapsed: 0.311 s
% 2.68/0.76  % (14644)Instructions burned: 99 (million)
% 2.68/0.76  % (14644)------------------------------
% 2.68/0.76  % (14644)------------------------------
% 2.68/0.77  % (14672)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.68/0.77  % (14623)Refutation found. Thanks to Tanya!
% 2.68/0.77  % SZS status Theorem for theBenchmark
% 2.68/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 2.68/0.77  % (14623)------------------------------
% 2.68/0.77  % (14623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.77  % (14623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.77  % (14623)Termination reason: Refutation
% 2.68/0.77  
% 2.68/0.77  % (14623)Memory used [KB]: 7675
% 2.68/0.77  % (14623)Time elapsed: 0.336 s
% 2.68/0.77  % (14623)Instructions burned: 108 (million)
% 2.68/0.77  % (14623)------------------------------
% 2.68/0.77  % (14623)------------------------------
% 2.68/0.77  % (14622)Success in time 0.419 s
%------------------------------------------------------------------------------